Browse Equation problems Studdy Solved!

Problem 13401

4. Three parallel resistors have a total conductance of 2 mS . If two of the resistors are 1 and $5 \mathrm{k} \Omega$ what is the third resistance? Ans. 1,25 k

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Problem 13402

THE QUADRATIC FORMULA There once lived a $\qquad$ $x^{2}-5 x+3=0$ near the $\qquad$ $x=\frac{7 \pm \sqrt{29}}{-6}$ $\square$ $\square$ $\frac{-9 \pm \sqrt{73}}{4}$ $x=-3 / 2, x=1 / 3$ suntan \begin{tabular}{c} $x=\frac{1 \pm \sqrt{85}}{10}$ \\ swords \end{tabular} $\quad$ \begin{tabular}{c} $x=-2, x=-1 / 3$ \\ crcus \end{tabular} $\square$ $x=-2, x=-1 / 3$ crcus $\frac{\text { crcus }}{7 \pm \sqrt{73}}$ $\square$ Who thought he'd found $\qquad$ $5 x^{2}+x=3$ i $\square$ $\square$ $x=-5, x=-1 / 2$ tasted $x=\frac{7 \pm \sqrt{73}}{-6}$ He took a $\qquad$ $\square$ $-4 x^{2}+1=9 x$ Use the quadratic formula to solve the equations. Drag the answers on top of the problems to fill in the missing words. $\square$ $\square$ $x=\frac{-1 \pm \sqrt{43}}{10}$ And started to $4 x^{2}-x-5=0$ $\square$ missing words. $\quad x=-3 \pm \sqrt{19}$ $\square$ $x=-5, x=1 / 3$ paraded $\square$ $x=\frac{9 \pm \sqrt{97}}{-8}$ big $\qquad$ $\qquad$ like $\qquad$ $\square$ $x=-1, x=5 / 4$ think

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Problem 13403

Question 15 of 40 What are the center and radius of the circle defined by the equation $x^{2}+y^{2}-6 x+10 y+25=0$ ? A. Center $(-3,5)$ ; radius 9 B. Center $(3,-5)$ ; radius 3 C. Center $(3,-5)$ ; radius 9 D. Center $(-3,5)$ ; radius 3 SUBMIT

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Problem 13404

Question 16, 1.6-26 points Points: 0 of 1 Save
One maid can clean the house in 4 hours. Another maid can do the job in 6 hours. How long will it take them to do the job working together? A. $\frac{1}{2} \mathrm{hr}$ B. $\frac{1}{10} \mathrm{hr}$ C. $\frac{1}{24} \mathrm{hr}$ D. $\frac{12}{5} \mathrm{hr}$

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Problem 13405

Negative marking: 25 A coin of radius 5 cm is randomly dropped on a square floor full of square shaped tiles of side 20 cm each. What is the probability that the coin will land completely with in a tile? In other words the coin should not cross the edge of any tile.

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Problem 13406

Use point-slope form to write the equation of a line that passes through the point left parenthesis, 18, comma, 20, right parenthesis (with slope minus, start fraction, 3, divided by, 2, end fraction

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Problem 13407

What is the equation of a circle with center $(-2,3)$ and radius 4 ? A. $(x-2)^{2}+(y+3)^{2}=16$ B. $(x+2)^{2}-(y-3)^{2}=16$ C. $(x+2)^{2}+(y-3)^{2}=16$ D. $(x+2)^{2}+(y-3)^{2}=4$

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Problem 13408

Peaches come in large and small cylindrical cans. The larger can has a radius and height that are both four times longer than the radius and height of the smaller can. If the volume of the smaller can is $32.16 \mathrm{in}^{3}$ , what is the volume of the larger can? A. $128.64 \mathrm{in}^{3}$ B. $257.28 \mathrm{in}^{3}$ C. $385.92 \mathrm{in}^{3}$ D. $2058.24 \mathrm{in}^{3}$ SUBMIT

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Problem 13409

Question
Evaluate the following integral using the Fundamental Theorem of Calculus. $\begin{array}{l} \int_{-5 \pi / 2}^{5 \pi / 2}(\cos x-4) d x \\ \int_{-5 \pi / 2}^{5 \pi / 2}(\cos x-4) d x=\square \end{array}$ $\square$ (Type an exact answer.)

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Problem 13410

Name:
Ai $\qquad$ $\qquad$ -
Writing Equations of Lines $\qquad$ Exit Ticket 1) 13 marks] $A$ line passes through the points $(3,2)$ and $(5,-1)$ .
Find the equation of this line in the form $y=m x+b$ . 2) 13 marks/ Find the equation of the line with gradient $\frac{2}{3}$ that passes through the point $(-2,-1)$ in the form $a x+b y+d=0$ .

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Problem 13411

2 $\begin{array}{l} \text { 2.) }-5 x+10=10 \\ -5 x+10-10=10-10 \\ -5 x=0 \end{array}$

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Problem 13412

Given the equation $x / 3=-12$ , the value of $x=-4$ .
A True B False Find the value of $x$ if the answer is false: $\qquad$

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Problem 13413

6.) $7-4 x=x=53$

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Problem 13414

27. A star-connected load consists of three identical coils each of resistance $30 \Omega$ and inductance 127.3 mH . If the line current is $5,08 \mathrm{~A}$ , calculate the line voltage if the supply frequency is 50 Hz .
Ans. 440V.
28. Three identical coils each of resistance $30 \Omega$ and inductance $127,3 \mathrm{mH}$ are connected in delta to a 440 V , 50 Hz , 3-phase supply. Determine (a) the phase current, and (b) the line current.
Ans. a) 8,8 A; b) $15,24 \mathrm{~A}$

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Problem 13415

Use the quadratic formula to solve. Express your answer in simplest form. $4 w^{2}+20 w+25=0$

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Problem 13416

6.02 EXAM REVIEW_UNIT 2 XEM OZ6 Q Find une value of X In the equarinn novow. Question o 6/16 $1 / 6(36 x-12)-5 x=10$
A $x=-2$ B $x=8$ C $\mathrm{x}=12$ D $x=22$

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Problem 13417

Use the quadratic formula to solve. Express your answer in simplest form. $4 x^{2}-5 x-6=0$

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Problem 13418

A. Given the equation: $3 \sqrt[4]{m}(5 \sqrt{m})=15 \sqrt[x]{m^{3}}$
Find the value of $x$ .

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Problem 13419

Question
Use the properties of exponents to determine the value of $a$ for the equation: $\left(x^{\frac{1}{2}}\right)^{3} \sqrt{x}=x^{a}$

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Problem 13420

$\underline{\text { Open Ebook section } 7.4}$
Potassium superoxide, $\mathrm{KO}_{2}$ , reacts with carbon dioxide to form potassium carbonate and oxygen: $4 \mathrm{KO}_{2}+2 \mathrm{CO}_{2} \longrightarrow 2 \mathrm{~K}_{2} \mathrm{CO}_{3}+3 \mathrm{O}_{2}$
3rd attempt See Periodic Table
This reaction makes potassium superoxide useful in a self-contained breathing apparatus. How much $\mathrm{O}_{2}$ could be produced from 2.59 g of $\mathrm{KO}_{2}$ and 4.60 g of $\mathrm{CO}_{2}$ ?

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Problem 13421

27. A star-connected load consists of three identical coils each of resistance $30 \Omega$ and inductance 127.3 mH .
If the line current is $5,08 \mathrm{~A}$ , calculate the line voltage if the supply frequency is 50 Hz .

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Problem 13422

Determina la retta comune ai due fasci di equazioni $y=m x-2 m+1$ e $(2-k) x-(k+1) y-3=0$ , e inc $i$ relativi valori di $m$ e $k$ . $[y=2 x-3, m=2, k=$
Considera il triangolo individuato dai centri $A, B, C$ dei tre fasci di rette di equazioni:

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Problem 13423

23. What is the capacitance of a capacitor that draws 150 mA when connected to a $100 \mathrm{~V}, 400 \mathrm{~Hz}$ voltage source?
Ans. 0,597 $\mu \mathrm{F}$ .

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Problem 13424

\begin{tabular}{c|c|c|c|} \hline Entered & Answer Preview & Result \\ \hline-12.75 & -12.75 & correct \\ \hline \end{tabular}
The answer above is correct.
A jogger runs around a circular track of radius 70 ft . Let $(x, y)$ be her coordinates, where the origin is the center of the track. When the jogger's coordinates are $(42,56)$ , her $x$ -coordinate is changing at a rate of $17 \mathrm{ft} / \mathrm{s}$ . Find $d y / d t$ . $d y / d t=-12.75 \mathrm{ft} / \mathrm{s}$ $\square$

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Problem 13425

Solve using the quadratic formula. Approximate answers to the nearest tenth. $x^{2}-2 x+1=0$ $\square$ Type your answer, then press Enter. Follow these examples: $\begin{array}{c} x=1 \text { or } 3 \\ x=-5.3 \text { or }-0.1 \end{array}$

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Problem 13426

wledge A mosquito beats its wings at a rate of about 6,000 wing beats per minute. a. What is the frequency in Hertz of the sound wave created by the mosquito's wings? b. Assuming the sound wave moves with a velocity of $350 \mathrm{~m} / \mathrm{s}$ , what is the wavelength of $t$ [4] sound wave generated by the beating wings?

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Problem 13427

Since an instant replay system for tennis was introduced at a major tournament, men challenged 1384 referee calls, with the result that 431 of the calls were overturned. Women challenged 762 referee calls, and 212 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? A. $H_{0}: p_{1} \leq p_{2}$ B. $H_{0}: p_{1} \geq p_{2}$ C. $H_{0}: p_{1}=p_{2}$ $H_{1}: p_{1} \neq p_{2}$ $H_{1}: p_{1} \neq p_{2}$ D. $H_{0}: p_{1}=p_{2}$ E. $H_{0}: p_{1}=p_{2}$ $H_{1}: p_{1}<p_{2}$ $H_{1}: P_{1}>P_{2}$ $H_{1}: p_{1} \neq p_{2}$ F. $H_{0}: p_{1} \neq p_{2}$ $H_{1}: p_{1}=p_{2}$

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Problem 13428

$17 A B C$ is an isosceles right-angled triangle.
The area of the triangle is $162 \mathrm{~cm}^{2}$ Work out the value of $x$ .

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Problem 13429

Since an instant replay system for tennis was introduced at a major tournament, men challenged 1384 referee calls, with the result that 431 of the calls were overturned. Women challenged 762 referee calls, and 212 of the calls were overtumed. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? A. $H_{0}: p_{1} \leqslant p_{2}$ $H_{1}: p_{1} \neq p_{2}$ D. $H_{0}: P_{1}=p_{2}$ $H_{1}: P_{1}>P_{2}$ B. $H_{0}: p_{1} \geq p_{2}$ $H_{1}: p_{1} \neq p_{2}$ E. $H_{0}: p_{1}=p_{2}$ $H_{1}: p_{1} \neq p_{2}$ C. $H_{0}: p_{1}=p_{2}$ $H_{1}: p_{1}<p_{2}$ F. $H_{0}: p_{1} \neq p_{2}$ $H_{1}: p_{1}=p_{2}$ Identify the test statistic. $z=$ $\square$ (Round to two decimal places as needed.)

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Problem 13430

Triangles $A B C$ and $D E F$ are similar.
Find the indicated distance. Round to the nearest tenth. (Assume $a=11 \mathrm{in}, \mathrm{c}=10 \mathrm{in}$ , and $d=16 \mathrm{in}$ .) Find side $D E$ . $\square$ in.

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Problem 13431

Bxencice \& \& 4 pts \begin{tabular}{|c|c|c|c|} \hline Durte & Taux & Capital (DH) & Vateur acquise (DK) \\ \hline & 703 famne & 22.500 & 50674,31 \\ \hline 20ans & 3\% le semestre & 6000 & \\ \hline & 7,5\% launéc & 17000 & 20004,05 \\ \hline 5 ansect 9 mols & 7.5........ & 20000 & 29 807,23 \\ \hline \end{tabular}
ByERCICE5: 4 pts hoplace un capital de 15000 DH pendant 4 ans au taux annuel de $9 \%$ . alouler sa valeur acquise si la période de capitalisation est : - Le semestre (en utilisant le taux proportionnel et le taux équivalent) - Le trimestre (en utilisant le taux proportionnel et le taux équivalent)
B: Pensez à soigner la présentation de votre copie

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Problem 13432

5. Solve for x : 7.64 9.35 8.17 6.22 Clear All

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Problem 13433

Q4) Find the differential equation whose general solution $y=A \cos (\ln x)+B \sin (\ln x), x>0$ .

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Problem 13434

Solve: $\frac{2}{3} t=6$ $\mathrm{t}=$

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Problem 13435

In certain deep parts of oceans, the pressure of sea water, $P$ , in pounds per square foot, at a depth of $d$ feet below the surface, is given by the following equation: $P=12+\frac{8 d}{13}$
If a scientific team uses special equipment to measures the pressure under water and finds it to be 596 pounds per square foot, at what depth is the team making their measurements?
Answer: The team is are measuring at $\square$ feet below the surface. Submit Question

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Problem 13436

Find the principal $P$ that will generate the given future value $A$ , where $A=\$ 14,000$ at $7 \%$ compounded daily for 9 years.
The principal P will be approximately $\$$ $\square$ (Round to two decimal places as needed.)

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Problem 13437

Dark Chocolate for Good Health A study ${ }^{1}$ examines chocolate's effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams ( 1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean . increase was 1.3 with a standard deviation of 2.32 , while the control group had a mean change of -0.96 with a standard deviation of 1.58. ${ }^{1}$ Engler, M., et. al., "Flavonoid-rich dark chocolate improves endothelial function and increases plasma epicatechin concentrations in healthy adults," Journal of the American College of Nutrition, 2004 Jun; 23(3): 197-204.
Part 1 (a) Find a $95 \%$ confidence interval for the difference in means between the two groups $\mu_{C}-\mu_{N}$ , where $\mu_{C}$ represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and $\mu_{N}$ represents the mean increase in flowmediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality.
Round your answers to two decimal places. The 95\% confidence interval is $\square$ to i .

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Problem 13438

The lever $A B C(L=0.85 \mathrm{~m})$ is pin-supported at $A$ and connected to a short link $B D$ ( $H$ $=0.16 \mathrm{~m}, S=0.47 \mathrm{~m}$ ) as shown in the figure. If the weight of the members is negligible, and the force $F=\mathbf{2 . 7} \mathbf{~ k N}$ is applied at the handle of the lever, determine ONLY the magnitude of the reaction at $B$ .

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Problem 13439

SHOW ALL WORK TO RECEIVE CREDIT
1. How much work must be done to lift a 15 kg case of canned soup from the floor to a shelf that is 0.75 above the floor?

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Problem 13440

Find the unknown number in the proportion $\frac{3}{9}=\frac{2}{x}$ $\square$ Submit Question

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Problem 13441

Calculate the following in each of the solutions belon a) how many moles of solute b) how many moles of each ion 5) 25.0 mL of 2.50 M NaOH

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Problem 13442

Solve $36 x^{2}-1764=0$ by factoring. a) Factor $36 x^{2}-1764=0$ to rewrite the equation. $\square$ $=0$ b) The solution set is: $\{$ $\square$ \}

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Problem 13443

11
Un objeto sigue una trayectoria como la que muestra la figura. (Este problema debe incluir procedimiento claro con unidades o no se tomará en cuenta.) Toma en cuenta los datos que aparecen en la imagen y calcula: * (4 puntos) $\omega$ en $\frac{\mathrm{rad}}{\mathrm{s}}$ Gira a razón de $\mathbf{2 5 0 0}$ vueltas por minuto

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Problem 13444

3 Multiple Choice 1 point The least common multiple of two rational expressions is $x^{2}+7 x+12$ . Given the original fraction below, find the value of the numerator that would form an equivalent fraction with a denominator of $x^{2}+7 x+12$ . $\frac{x-2}{x+4}=\frac{?}{x^{2}+7 x+12}$ $(x-2)(x+4)$ $(x-2)(x+3)$ $x+3$ $x-2$ Clear my selection

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Problem 13445

Prehistoric cave paintings were discovered in a cave in France. The paint contained $29 \%$ of the original carbon-14. Use the exponential decay model for carbon-14, $A=A_{0} e^{-0.000121 t}$ , to estimate the age of the paintings.
The paintings are approximately $\square$ years old. (Round to the nearest integer.)

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Problem 13446

[a.] The equation of line $j$ is $y=\frac{-3}{4} x+\frac{3}{8}$ . Line $k$ is perpendicular to $j$ . What is the slop of line $k$ ?
Simplify your answer and write it as a proper fraction, improper fraction, or integer $\square$ Submit Work it out Not feeling ready yet? These can help: Reciprocals Slope-intercept form: find the slo

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Problem 13447

The electric motor exerts a 500 N -m-torque on the aluminum shaft $A B C D$ when it is rotating at a constant speed. Knowing that $G=27 \mathrm{GPa}$ and that the torques exerted on pulleys $B$ and $C$ are as shown, determine the angle of twist between $(a) B$ and $C$ , (b) B and D.

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Problem 13448

Find the percent. 15 cents is what percent of 24 cents
15 cents is $\square$ $\%$ of 24 cents (Simplify your answer.)

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Problem 13449

Name: $\text { 2. } \cos (2 x+y)=5 x$

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Problem 13450

Vid ( $\frac{1}{4}$ . The equation of line $a$ is $y=\frac{52}{67} x-24$ . Line $b$ is parallel to line $a$ . What is the slope of line $b$ ? (x) Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$ Submit Work it out Not feeling ready yet? These can help: Reciprocals Slope-intercept form: find the slope and $y$ -interce

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Problem 13451

The equation of line $t$ is $y=\frac{-9}{37} x-61$ . Line $u$ is perpendicular to $t$ . What is the slope of line $u$ ? (3), Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$ Submit Work it out

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Problem 13452

$008 \quad 10.0$ points A woman of mass 49 a 68 kg canoe that is in If her velocity is 2 m / the velocity of the canoe
Unit 4) 24-25-tejeda - (PerezKPHY1_1) The acceleration of gravity is $9.8 \mathrm{~m} / \mathrm{s}^{2}$ .
Initially, the 6 kg block and 2 kg block rest on a horizontal surface with the 6 kg block in contact with the spring (but not compressing it) and with the 2 kg block in contact with the 6 kg block. The 6 kg block is then moved to the left, compressing the spring a distance of 0.2 m , and held in place while the 2 kg block remains at rest as shown below.
Determine the elastic energy $U$ stored in the compressed spring.
Answer in units of $J$ . 013 (part 2 of 4 ) 10.0 points The 6 kg block is then released and accelerates to the right, toward the 2 kg block. The surface is rough and the coefficient of friction between each block and the surface is 0.3 . The two blocks collide, stick together, and move to the right. Remember that the spring is not attached to the 6 kg block.
Find the speed of the 6 kg block just before it collides with the 2 kg block.
Answer in units of $\mathrm{m} / \mathrm{s}$ .

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Problem 13453

4. Assuming that $\operatorname{gcd}(a, b)=1$ , prove the following: (b) $\operatorname{gcd}(2 a+b, a+2 b)=1$ or 3 .

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Problem 13454

$: 04 \mathrm{AM}$ Tue Dec 3 - • one www-awu.aleks.com Chemical Reactions Understanding theoretical, actual, and percent yield ? QUESTION Black Forest Biologicals, a biotech startup, has a promising Alzheimer's drug candidate Compound SLT-88 entering Pha is the only product formed by the reaction of two precursor compounds $A$ and $B$ , both of which are quite expensive. T of Black Forest is trying out different reaction conditions to minimize the cost of manufacturing SLT-88. In the table below are listed the initial and final amounts of A and B used under two different trial conditions, and also 88 recovered in each case. Complete the table by calculating the theoretical yield of SLT-88 and the percent yield of SL to the nearest milligram and your percentages to the nearest whole percent. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline \multirow{2}{*}{ Trial } & \multicolumn{2}{|c|}{ amount of A } & \multicolumn{2}{|c|}{ amount of B } & \multicolumn{3}{|c|}{ yield of SLT-88 } \\ \cline { 2 - 8 } & initial & final & initial & final & theoretical & actual & $\%$ \\ \hline 1 & $300 . \mathrm{mg}$ & 0 mg & $300 . \mathrm{mg}$ & $171 . \mathrm{mg}$ & $\square$ & $232 . \mathrm{mg}$ & $\square \%$ \\ \hline 2 & $200 . \mathrm{mg}$ & 0 mg & $900 . \mathrm{mg}$ & $594 . \mathrm{mg}$ & $\square$ & $278 . \mathrm{mg}$ & $\square \%$ \\ \hline \end{tabular} (O) EXPLANATION
To solve this problem you'll need to understand the three ways chemists measure the success of a chemical reaction: - Theoretical yield is the amount of some desired product that would be produced if every possible atom of the reac into the product. - Actual yield is how much of the desired preduct was actually isolated after the reaction. It's always less than the $t$ More Practice

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Problem 13455

If using the method of completing the square to solve the quadratic equation $x^{2}+15 x+4=0$ , which number would have to be added to "complete the square"?

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Problem 13456

Solve: $\frac{x}{11}-\frac{x}{2}=7+\frac{7 x}{22}$ Select one: a. $x=-\frac{77}{8}$ b. $x=\frac{77}{3}$ c. $x=-\frac{9}{22}$ d. $x=-\frac{22}{9}$ e. $x=-22$

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Problem 13457

There is 4165 ml of water in the container below. The container is a triangular prism. Work out the depth of the water in this container. Give your answer in centimetres (cm), and give any decimal answers to $1 \mathrm{~d} . \mathrm{p}$ . (Hint: $1 \mathrm{ml}=1 \mathrm{~cm}^{3}$ ) Watch video Search

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Problem 13458

b) $2 x^{2}-5 x=7 \quad \rightarrow \quad 2 x$

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Problem 13459

2. $x\left(x^{2}-3 x+3\right)(4 x-7)=0$
3. $\left(4 a^{2}-16\right)\left(a^{2}+9\right)=0$
4. $0=\left(p^{2}-5 p+6\right)(p+1)(p-2)$
5. $\left(x^{2}+2 x+2\right)(2 x-3) x=0$

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Problem 13460

02010.0 points $\mathrm{A}(\mathrm{n}) 59 \mathrm{~kg}$ astronaut becomes separated from the shuttle, while on a space walk. She finds herself 46.3 m away from the shuttle and moving with zero speed relative to the shuttle. She has a(n) 0.575 kg camera in her hand and decides to get back to the shuttle by throwing the camera at a speed of $12 \mathrm{~m} / \mathrm{s}$ in the direction away from the shuttle.
How long will it take for her to reach the shuttle? Answer in minutes.
1. 3.629 min
2. 5.609 min
3. 3.959 min
4. 5.938 min
5. 4.619 min
6. 4.289 min
7. 4.949 min

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Problem 13461

Question
What is an equation of the line that passes through the point $(-1,0)$ and is parallel to the line $5 x+y=6$ ?

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Problem 13462

(4) Solve the following equation for $0 \leq x<2 \pi$ $5 \sin x-4 \sqrt{3}=3 \sin x-5 \sqrt{3}$ (10) Let $A=121^{\circ}, C=34^{\circ}$ and $b=18$ . Use Law of Sines to solve for $c$ .

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Problem 13463

Under a dilation, the point $(-3,-4)$ is moved to $(-15,-20)$ . What is the scale factor of the dilation? Enter your answer in the box. $\square$ 12 Type here to search

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Problem 13464

$2 x-1=2 \sin x+\cos x$

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Problem 13465

The sun is $25^{\circ}$ above the horizon. Find the length of a shadow cast by a building that is 100 feet tall (see figure). (Round your answer to two decimal places.) $\square$ ft

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Problem 13466

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55,72 dream in black and white, and among 289 people under the age of 25,16 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25 . What are the null and alternative hypotheses for the hypothesis test? A. $H_{0}: P_{1}=P_{2}$ B. $H_{0}: p_{1}=p_{2}$ C. $H_{0}: p_{1} \leq p_{2}$ $H_{1}: p_{1} \neq p_{2}$ $H_{1}: p_{1}>p_{2}$ $H_{1}: p_{1} \neq p_{2}$ D. $H_{0}: p_{1}=p_{2}$ E. $H_{0}: p_{1} \geq p_{2}$ $H_{1}: P_{1}<P_{2}$ $\mathrm{H}_{1}: \mathrm{p}_{1} \neq \mathrm{p}_{2}$ F. $H_{0}: p_{1} \neq p_{2}$ $H_{1}: p_{1}=p_{2}$
Identify the test statistic. $\mathrm{z}=\square$ (Round to two decimal places as needed.)

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Problem 13467

$6 \sin ^{2} x=5 \cos x-2$

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Problem 13468

10. The half-life of the radioactive element plutonium-239 is 25,000 years. If 11 kilograms of plutonium-239 are initially present (between the size of a softball and shotput), how many years will it take for it to decay to less than 1 kilogram?

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Problem 13469

7. Nate is in a meadow standing exactly 185 ft from the base of a mountain. He sees someone climbing the mountain in his binoculars. His eyes are 6 ft above the ground, and is angle of elevation is $10^{\circ}$ . How far above the ground is the climber?

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Problem 13470

$y=6+2$ R. The serpe is $\square$
$\square$ 1

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Problem 13471

4) How much heat is absorbed when 30.00 g of $\mathrm{C}(\mathrm{s})$ reacts in the presence of excess $\mathrm{SO}_{2}(\mathrm{~g})$ to produce $\mathrm{CS}_{2}(l)$ and $\mathrm{CO}(g)$ according to the following chemical equation? $5 \mathrm{C}(s)+2 \mathrm{SO}_{2}(g) \rightarrow \mathrm{CS}_{2}(l)+4 \mathrm{CO}(g) \quad \Delta H^{\circ}=+239.9 \mathrm{~kJ}$ A) 239.9 kJ B) 119.9 kJ C) 599.2 kJ D) 1439 kJ

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Problem 13472

Solve for $x$ : $\log _{2}(x+5)=5$ 5 20 27 0

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Problem 13473

Determine all solutions of the equation $-2 w^{2}+14=0$ . $-2,7$ $-7,7$ $-\sqrt{7}, \sqrt{7}$ $-2,-\sqrt{7}, \sqrt{7}$

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Problem 13474

atistical Methods I FONO5 Deshaunte scales 12/03/24 1:01 PM उHW Question 2, 8.1.5 HW Score: 2.86\%, 0.8 of 28 points Part 2 of 2 Points: 0 of 1 Save
Claim: More than $4.5 \%$ of homes have only a landline telephone and no wireless phone. Sample data: A survey by the National Center for Health Statistics showed that among 16,063 homes $5.79 \%$ had landline phones without wireless phones. Complete parts (a) and (b). a. Express the original claim in symbolic form. Let the parameter represent a value with respect to homes that have only a landline telephone and no wireless phone. p 0.045 (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. $\begin{array}{l|} \mathrm{H}_{0}: \\ \mathrm{H}_{1}: \\ : \bar{\nabla} \\ \square \end{array}$ (Type integers or decimals. Do not round.) w an example Get more help - Clear all Check answer

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Problem 13475

(15 points) Solve the equation below, finding all real solutions. Write your final answer(s) in the box provided. $\log _{6}(2 x-1)+\log _{6}(x)=1$

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Problem 13476

1. A bag contans 6 Red, 8 black and 10 yellow identical beads 2 beads are picked at random one affer the othe without replacenors. Find the pobubilizy that, (i) Both are Red (i) One bladk and the other yellow

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Problem 13477

Solve these problems. Write the number sentences for activities (1)-(3). (1)
Mrs. Lovejoy bought 8 yards of material. She will use $3 \frac{7}{8}$ yards for Christi's dress. How much material will be left to make herself a dress? (2) The perimeter of the garden is 150 feet. How many yards of fencing is needed to build a fence around the garden? (3) Racer shot the winning basket when he was $4 \frac{2}{3}$ yards from the basket. How many feet was Racer from the basket?
The path around the park is one mile. How many feet is the path? $\qquad$

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Problem 13478

Solve the quadratic equation by completing the square: $x^{2}+14 x+7=18$ Give the equation after completing the square, but before taking the square root. Your answer should look like: $(x-a)^{2}=b$ The equation is: $\square$ Give all solutions to the equation. The solutions are: $x=$ $\square$ Calculator

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Problem 13479

Question 16, 8.2.1 Pait 1 of 3 HW Scores 43.33\%, 12.13 of 28 points Points: 0 of 1 Save
Use the results from a survey of a simple random sample of 1229 adults. Among the 1229 respondents, $71 \%$ rated themselves as above average drivers. We want to test the claim that $\frac{13}{20}$ of adults rate themselves as above average drivers. Complete parts (a) through (c). a. Identify the actual number of respondents who rated themselves as above average drivers. $\square$ (Round to the nearest whole number as needed.) nore help - Clear all Check answer

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Problem 13480

A metal warehouse, whose dimensions are shown below, needs paint. The front and back of the warehouse each have 2 rollup doors measuring 26 ft by 29 ft each. The side of the warehouse facing the parking lot has an entry door measuring 45 in by 80 in. The other side of the warehouse has no window or door.
Use the given information to answer the questions. Each tab shows a different view of the warehouse. (a) Assuming the roof and doors require no paint, what is the area in square feet that needs paint? (Do not round any intermediate computations and give your answer as a whole number.) (1) $\mathrm{ft}^{2}$ (b) The paint to be used is sold in cans. Each can contains enough paint to cover $520 \mathrm{ft}^{2}$ . Assume there is no paint yet and partial cans cannot be bought. How many cans will need to be bought in order to paint the warehouse? $\square$ cans Front-right view Back-left view (c) What is the total cost of the paint needed for the warehouse if each can costs \$39.50? Check Save For Later Submit Assignmer

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Problem 13481

8. An airplane must fly over a 120 ft tower. The plane is 400 ft away from the tower when it begins to climb. At what angle should the plane climb to make it over the tower?

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Problem 13482

A company manufactures video gamos with a current dafoct rate of $0.95 \%$ . To make sure as fow defective video games are delivered as possible, they are all tested before delivery. The test is $98 \%$ accurate at detormining if a video game is defective. If 100,000 products are manufactured and delivered in a month, approximately how many defective products are expected to be delivered?
2,000
50
950 $\square$ 20

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Problem 13483

5) $4 x^{2}-9 y^{2}+80 x+144 y-752=0$ A) Vertices: $(-10,16),(-10,0)$
Foci: $(-10,8+4 \sqrt{13}),(-10,8-4 \sqrt{13})$ B) Vertices: $(2,8),(-22,8)$
Foci: $(-10+4 \sqrt{13}, 8),(-10-4 \sqrt{13}, 8)$ C) Vertices: $(20,10),(-4,10)$
Foci: $(8+4 \sqrt{13}, 10),(8-4 \sqrt{13}, 10)$ D) Vertices: $(8,18),(8,2)$
Foci: $(8,10+4 \sqrt{13}),(8,10-4 \sqrt{13})$

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Problem 13484

Solve the equation: $\log _{6}(x)+\log _{6}(x+16)=2$ The solution(s) is (are) $x=$ $\square$
Calculator

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Problem 13485

Bookwork code: 2C Calculator not allowed
Write an equation to represent the function machine below.
Input Output $x \rightarrow \times 6+4 \rightarrow 7$

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Problem 13486

Alexandra thinks of a number, $t$ . She multiplies it by 4 , then she subtracts 7 and gets an answer of 18 . Write an equation to describe this.

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Problem 13487

opening of each. 8) $x=y^{2}+12 y+30$ A) Vertex: $(5,5)$
Focus: $\left(5, \frac{19}{4}\right)$ Axis of Sym.: $x=5$ Opens: Down B) Vertex: $(-6,-6)$
Focus: $\left(-\frac{23}{4},-6\right)$ Axis of Sym: $y=-6$ Opens: Right C) Vertex: $(-6,-6)$
Focus: $\left(-6,-\frac{23}{4}\right)$ Axis of Sym: $:=-6$ Opens: Up D) Verte: $(-6,-6)$
Focus: $\left(-6,-\frac{25}{4}\right)$ Axis of Sym: $x=-6$ Opens: Down

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Problem 13488

(18) Solve for $x: a+b(x-c)=0$ (A) $\frac{a+b c}{b}$ (B) $\frac{b c-a}{b}$ (C) $c-a$ (19) Solve for $x: x^{2}-x+3=0$ (A) $x=$ (C) $x=-\frac{3}{2}, x=\frac{5}{2}$ (D) $x=3, x=-$ (20) Solve for $x: 2 x^{2}-9 x+3=0$ (C) $x=1, x=3$ (A) $x=$ (D) $x=4, x=9$ (21) Solve the inequality: $-3 a+7>19$ (A) $a<-4$ (B) $a<12$ (C) $a>-4$ 2) Find the interval solution for $x$ : (A) $(-2,+2]$ (B) $\left[-\frac{9}{4}, 2\right)$ $-6<4 x+3$ (C) $(-6$

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Problem 13489

Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. $11^{x}=67$
The solution set expressed in terms of logarithms is $\square$ \}. (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use In for natural logarithm and log for common logarithm.)

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Problem 13490

(19) Solve for $x: x^{2}-x+3=0$ (C) $x=-\frac{3}{2}, x=\frac{5}{2}$ (D) $x=$

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Problem 13491

10) $\frac{(x-6)^{2}}{49}-\frac{(y-9)^{2}}{121}=1$ A) Vertices: $(17,9),(-5,9)$
Foci: $(6+\sqrt{170}, 9),(6-\sqrt{170}, 9)$ Opens leftright B) Vertices: $(-9,17),(-9,-5)$
Foci: $(-9,6+\sqrt{170}),(-9,6-\sqrt{170})$ Opens upldown C) Vertices: $(13,9),(-1,9)$
Foci: $(6+\sqrt{170}, 9),(6-\sqrt{170}, 9)$ Opens leftright D) Vertices: $(6,16),(6,2)$
Foci: $(6,9+\sqrt{170}),(6,9-\sqrt{170})$

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Problem 13492

Solve the following polynomial using synthetic division. $\begin{array}{l} x^{3}+8 x^{2}+11 x-20=0 \\ x=\square \\ x=\square \\ x=\square \end{array}$

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Problem 13493

A good radiograph is taken with 20 mAs using tabletop with an $\mathrm{EI}=200$ . Find the EI value using 40 mAs and 10:1 grid.

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Problem 13494

Zain draws a circle with radius $r$ and center $(h, k)$ in the coordinate plane. He places the point $(x, y)$ on the circle. How can Zain use his drawing to derive the general equation of a circle in standard form? Use the drop-down menus to explain your answer.
Click the arrows to choose an answer from each menu. Using any center point $(h, k)$ and any point on the circle $(x, y)$ , zain can draw a right triangle that has a hypotenuse of length $r$ land legs of lengths Choose... * Then, Zain can derive the general equation of a circle in standard form by applying the Choose...

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Problem 13495

$=24$ 12) Vertices: $(6,14),(6,-10)$ 2.
Foci: $(6,15),(6,-11)$ A) $\frac{(y-2)^{2}}{144}-\frac{(x-6)^{2}}{25}=1$ B) $\frac{(y-2)^{2}}{144}-\frac{(x+6)^{2}}{25}=1$ $4=25$ c) $\frac{(y+2)^{2}}{25}-\frac{(x-6)^{2}}{144}=1$ D) $\frac{(y-2)^{2}}{25}-\frac{(x-6)^{2}}{144}=1$

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Problem 13496

Solve the following quadratic equation for all values of $x$ in simplest form. $6+3 x^{2}=18$
Answer Attempt 1 out of 2 † Additional Solution No Solution $x=$ $\square$ Submit Answer

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Problem 13497

38) A cyclist bikes at a constant speed for 17 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 22 miles. Find his speed.

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Problem 13498

5. Prove the following trigonometric identity. (4 marks) $\begin{array}{c} \frac{\cos 2 x \sec x}{1-\tan ^{2} x}=\cos x \\ \cos ^{2} \theta-\sin ^{2} \theta\left(\frac{1}{\cos x}\right) \end{array}$

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Problem 13499

After doing laundry, Gharam didn't pair her socks together before putting them in her drawer. Gharam has 76 socks: 20 black socks, 26 white socks, and 30 socks with fun designs. Today she pulled out a black sock and is searching for another. What is the probability of her finding another black sock if she reaches into the depths of her drawer and randomly pulls out another sock?

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Problem 13500

THIW - Ch 5 Linear Google Slides Equations from a Table of Value what is the slope of $y=m x+b$ - itybuilder/instance/674efbba6950e871bcac89db/student/674f475712e503d27285c524\#screenld=26479922-20fd-4c48-86a9-348b257edc3a
Iues and Graph \begin{tabular}{|l|l|l|l|} \hline & 1 & TT & $\sqrt{ \pm}$ \\ \hline \end{tabular} n
Write the equation of a line in slope intercept form GIVEN A GRAPH. Enter all three into the answer box.
Find the slope by: Change in $y$ Slope: $\qquad$ Y-intercept: $\qquad$ Change in $x$
Equation: $\qquad$ Search ENG US

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Equation

Problem 13401

4. Three parallel resistors have a total conductance of 2 mS . If two of the resistors are 1 and 5kΩ5 \mathrm{k} \Omega5kΩ what is the third resistance? Ans. 1,25 k

Problem 13402

Problem 13403

Problem 13404

Problem 13405

Negative marking: 25 A coin of radius 5 cm is randomly dropped on a square floor full of square shaped tiles of side 20 cm each. What is the probability that the coin will land completely with in a tile? In other words the coin should not cross the edge of any tile.

Problem 13406

Use point-slope form to write the equation of a line that passes through the point left parenthesis, 18, comma, 20, right parenthesis (with slope minus, start fraction, 3, divided by, 2, end fraction

Problem 13407

Problem 13408

Problem 13409

Problem 13410

Problem 13411

2 2.) −5x+10=10−5x+10−10=10−10−5x=0\begin{array}{l} \text { 2.) }-5 x+10=10 \\ -5 x+10-10=10-10 \\ -5 x=0 \end{array} 2.) −5x+10=10−5x+10−10=10−10−5x=0​

Problem 13412

Given the equation x/3=−12x / 3=-12x/3=−12, the value of x=−4x=-4x=−4.A True B False Find the value of xxx if the answer is false: \qquad

Problem 13413

6.) 7−4x=x=537-4 x=x=537−4x=x=53

Problem 13414

Problem 13415

Use the quadratic formula to solve. Express your answer in simplest form. 4w2+20w+25=04 w^{2}+20 w+25=04w2+20w+25=0

Problem 13416

6.02 EXAM REVIEW_UNIT 2 XEM OZ6 Q Find une value of X In the equarinn novow. Question o 6/16 1/6(36x−12)−5x=101 / 6(36 x-12)-5 x=101/6(36x−12)−5x=10A x=−2x=-2x=−2 B x=8x=8x=8 C x=12\mathrm{x}=12x=12 D x=22x=22x=22

Problem 13417

Use the quadratic formula to solve. Express your answer in simplest form. 4x2−5x−6=04 x^{2}-5 x-6=04x2−5x−6=0

Problem 13418

A. Given the equation: 3m4(5m)=15m3x3 \sqrt[4]{m}(5 \sqrt{m})=15 \sqrt[x]{m^{3}}34m​(5m​)=15xm3​Find the value of xxx.

Problem 13419

QuestionUse the properties of exponents to determine the value of aaa for the equation: (x12)3x=xa\left(x^{\frac{1}{2}}\right)^{3} \sqrt{x}=x^{a}(x21​)3x​=xa

Problem 13420

Problem 13421

27. A star-connected load consists of three identical coils each of resistance 30Ω30 \Omega30Ω and inductance 127.3 mH .If the line current is 5,08 A5,08 \mathrm{~A}5,08 A, calculate the line voltage if the supply frequency is 50 Hz .

Problem 13422

Problem 13423

23. What is the capacitance of a capacitor that draws 150 mA when connected to a 100 V,400 Hz100 \mathrm{~V}, 400 \mathrm{~Hz}100 V,400 Hz voltage source?Ans. 0,597 μF\mu \mathrm{F}μF.

Problem 13424

Problem 13425

Problem 13426

Problem 13427

Problem 13428

17ABC17 A B C17ABC is an isosceles right-angled triangle.The area of the triangle is 162 cm2162 \mathrm{~cm}^{2}162 cm2 Work out the value of xxx.

Problem 13429

Problem 13430

Triangles ABCA B CABC and DEFD E FDEF are similar.Find the indicated distance. Round to the nearest tenth. (Assume a=11in,c=10ina=11 \mathrm{in}, \mathrm{c}=10 \mathrm{in}a=11in,c=10in, and d=16ind=16 \mathrm{in}d=16in.) Find side DED EDE. □\square□ in.

Problem 13431

Problem 13432

5. Solve for x : 7.64 9.35 8.17 6.22 Clear All

Problem 13433

Q4) Find the differential equation whose general solution y=Acos⁡(ln⁡x)+Bsin⁡(ln⁡x),x>0y=A \cos (\ln x)+B \sin (\ln x), x>0y=Acos(lnx)+Bsin(lnx),x>0.

Problem 13434

Solve: 23t=6\frac{2}{3} t=632​t=6 t=\mathrm{t}=t=

Problem 13435

Problem 13436

Find the principal PPP that will generate the given future value AAA, where A=$14,000A=\$ 14,000A=$14,000 at 7%7 \%7% compounded daily for 9 years.The principal P will be approximately $\$$ □\square□ (Round to two decimal places as needed.)

Problem 13437

Problem 13438

Problem 13439

SHOW ALL WORK TO RECEIVE CREDIT1. How much work must be done to lift a 15 kg case of canned soup from the floor to a shelf that is 0.75 above the floor?

Problem 13440

Find the unknown number in the proportion 39=2x\frac{3}{9}=\frac{2}{x}93​=x2​ □\square□ Submit Question

Problem 13441

Calculate the following in each of the solutions belon a) how many moles of solute b) how many moles of each ion 5) 25.0 mL of 2.50 M NaOH

Problem 13442

Solve 36x2−1764=036 x^{2}-1764=036x2−1764=0 by factoring. a) Factor 36x2−1764=036 x^{2}-1764=036x2−1764=0 to rewrite the equation. □\square□ =0=0=0 b) The solution set is: {\{{ □\square□ \}

Problem 13443

Problem 13444

Problem 13445

Problem 13446

Problem 13447

Problem 13448

Find the percent. 15 cents is what percent of 24 cents15 cents is □\square□ %\%% of 24 cents (Simplify your answer.)

Problem 13449

Name: 2. cos⁡(2x+y)=5x\text { 2. } \cos (2 x+y)=5 x 2. cos(2x+y)=5x

Problem 13450

Problem 13451

The equation of line ttt is y=−937x−61y=\frac{-9}{37} x-61y=37−9​x−61. Line uuu is perpendicular to ttt. What is the slope of line uuu ? (3), Simplify your answer and write it as a proper fraction, improper fraction, or integer. □\square□ Submit Work it out

Problem 13452

Problem 13453

4. Three parallel resistors have a total conductance of 2 mS . If two of the resistors are 1 and $5 \mathrm{k} \Omega$ what is the third resistance? Ans. 1,25 k

2 $\begin{array}{l} \text { 2.) }-5 x+10=10 \\ -5 x+10-10=10-10 \\ -5 x=0 \end{array}$

Given the equation $x / 3=-12$ , the value of $x=-4$ .
A True B False Find the value of $x$ if the answer is false: $\qquad$

6.) $7-4 x=x=53$

Use the quadratic formula to solve. Express your answer in simplest form. $4 w^{2}+20 w+25=0$

6.02 EXAM REVIEW_UNIT 2 XEM OZ6 Q Find une value of X In the equarinn novow. Question o 6/16 $1 / 6(36 x-12)-5 x=10$
A $x=-2$ B $x=8$ C $\mathrm{x}=12$ D $x=22$

Use the quadratic formula to solve. Express your answer in simplest form. $4 x^{2}-5 x-6=0$

A. Given the equation: $3 \sqrt[4]{m}(5 \sqrt{m})=15 \sqrt[x]{m^{3}}$
Find the value of $x$ .

Question
Use the properties of exponents to determine the value of $a$ for the equation: $\left(x^{\frac{1}{2}}\right)^{3} \sqrt{x}=x^{a}$

27. A star-connected load consists of three identical coils each of resistance $30 \Omega$ and inductance 127.3 mH .
If the line current is $5,08 \mathrm{~A}$ , calculate the line voltage if the supply frequency is 50 Hz .

23. What is the capacitance of a capacitor that draws 150 mA when connected to a $100 \mathrm{~V}, 400 \mathrm{~Hz}$ voltage source?
Ans. 0,597 $\mu \mathrm{F}$ .

$17 A B C$ is an isosceles right-angled triangle.
The area of the triangle is $162 \mathrm{~cm}^{2}$ Work out the value of $x$ .

Triangles $A B C$ and $D E F$ are similar.
Find the indicated distance. Round to the nearest tenth. (Assume $a=11 \mathrm{in}, \mathrm{c}=10 \mathrm{in}$ , and $d=16 \mathrm{in}$ .) Find side $D E$ . $\square$ in.

Q4) Find the differential equation whose general solution $y=A \cos (\ln x)+B \sin (\ln x), x>0$ .

Solve: $\frac{2}{3} t=6$ $\mathrm{t}=$

Find the principal $P$ that will generate the given future value $A$ , where $A=\$ 14,000$ at $7 \%$ compounded daily for 9 years.
The principal P will be approximately $\$$ $\square$ (Round to two decimal places as needed.)

SHOW ALL WORK TO RECEIVE CREDIT
1. How much work must be done to lift a 15 kg case of canned soup from the floor to a shelf that is 0.75 above the floor?

Find the unknown number in the proportion $\frac{3}{9}=\frac{2}{x}$ $\square$ Submit Question

Solve $36 x^{2}-1764=0$ by factoring. a) Factor $36 x^{2}-1764=0$ to rewrite the equation. $\square$ $=0$ b) The solution set is: $\{$ $\square$ \}

Find the percent. 15 cents is what percent of 24 cents
15 cents is $\square$ $\%$ of 24 cents (Simplify your answer.)

Name: $\text { 2. } \cos (2 x+y)=5 x$

The equation of line $t$ is $y=\frac{-9}{37} x-61$ . Line $u$ is perpendicular to $t$ . What is the slope of line $u$ ? (3), Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$ Submit Work it out

4. Assuming that $\operatorname{gcd}(a, b)=1$ , prove the following: (b) $\operatorname{gcd}(2 a+b, a+2 b)=1$ or 3 .

If using the method of completing the square to solve the quadratic equation $x^{2}+15 x+4=0$ , which number would have to be added to "complete the square"?

Solve: $\frac{x}{11}-\frac{x}{2}=7+\frac{7 x}{22}$ Select one: a. $x=-\frac{77}{8}$ b. $x=\frac{77}{3}$ c. $x=-\frac{9}{22}$ d. $x=-\frac{22}{9}$ e. $x=-22$

b) $2 x^{2}-5 x=7 \quad \rightarrow \quad 2 x$

Question
What is an equation of the line that passes through the point $(-1,0)$ and is parallel to the line $5 x+y=6$ ?

(4) Solve the following equation for $0 \leq x<2 \pi$ $5 \sin x-4 \sqrt{3}=3 \sin x-5 \sqrt{3}$ (10) Let $A=121^{\circ}, C=34^{\circ}$ and $b=18$ . Use Law of Sines to solve for $c$ .

Under a dilation, the point $(-3,-4)$ is moved to $(-15,-20)$ . What is the scale factor of the dilation? Enter your answer in the box. $\square$ 12 Type here to search

$2 x-1=2 \sin x+\cos x$

The sun is $25^{\circ}$ above the horizon. Find the length of a shadow cast by a building that is 100 feet tall (see figure). (Round your answer to two decimal places.) $\square$ ft

$6 \sin ^{2} x=5 \cos x-2$

7. Nate is in a meadow standing exactly 185 ft from the base of a mountain. He sees someone climbing the mountain in his binoculars. His eyes are 6 ft above the ground, and is angle of elevation is $10^{\circ}$ . How far above the ground is the climber?

$y=6+2$ R. The serpe is $\square$
$\square$ 1

Solve for $x$ : $\log _{2}(x+5)=5$ 5 20 27 0

Determine all solutions of the equation $-2 w^{2}+14=0$ . $-2,7$ $-7,7$ $-\sqrt{7}, \sqrt{7}$ $-2,-\sqrt{7}, \sqrt{7}$