Browse Equation problems Studdy Solved!

Problem 12601

art 2 of 2 In ADEF, C is the centroid. If DM 9, find DC and CM DC= 6 units CM units E L M C D N

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Problem 12602

Bookwork code: 3 H allowed
The formula below can be used to calculate monthly mortgage repayments.
Archie borrows $£ 228,000$ for his mortgage. The monthly interest rate is $0.18 \%$ and he must make a repayment every month for the next 25 years.
Use the formula to calculate Archie's monthly mortgage repayment. Give your answer to the nearest $£ 1$ . $m=\frac{0.01 r b}{1-(1+0.01 r)^{-n}}$ $m$ is the monthly mortgage repayment ( $£$ ) $r$ is the monthly interest rate (\%) $b$ is the amount borrowed ( $£$ ) $n$ is the number of monthly repayments Zoom

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Problem 12603

וור 13 Beth says that the equation x + 3 = 5 has only one solution. Is Beth correct? Use the number line to help explain your reasoning. 0 + 2 3 4 95 +4 13 + 16 6 7 8 9 10 same quantity Lesson 22: Solving Equations 213 Suner Teacher

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Problem 12604

Solve the following proportion. $\frac{5}{6}=\frac{n+10}{42}$
The solution set is $\square$ b. (Simplify your answer.)

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Problem 12605

Solve for $x$ . $\frac{5 x}{8}-2=\frac{7 x}{12}$
Simplify your answer as much as possible.

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Problem 12606

Sparx Maths 4A 4B 4 C 4D 4 E 4F 4 G 4H 41 4 J
Newton's law of universal gravitation, shown below, can be used to calculate the gravitational force, $F$ , between two objects.
The gravitational constant has a value of $6.67 \times 10^{-11}$ and units of $\mathrm{Nm}^{2} / \mathrm{kg}^{2}$ .
When the shortest distance between the Earth's surface and the Moon's surface is $3.56 \times 10^{8} \mathrm{~m}$ , the gravitational force, in Newtons, between the Earth and the Moon can be written in standard form as $x \times 10^{y}$ .
Using the information given, work out the value of $x$ to 2 s.f. and the value of $y$ . $\boldsymbol{F}=\boldsymbol{G} \frac{m_{1} m_{2}}{r^{2}}$ $F$ is the gravitational force in Newtons between two objects $m_{1}$ is the mass in kilograms of the first object $m_{2}$ is the mass in kilograms of the second object $r$ is the distance in metres between the centres of the two objects \begin{tabular}{|l|l|l|} \cline { 2 - 3 } & \begin{tabular}{l} Mass \\ (kilograms) \end{tabular} & \begin{tabular}{l} Radius \\ (metres) \end{tabular} \\ \hline Earth & $5.97 \times 10^{24}$ & $6.4 \times 10^{6}$ \\ \hline Moon & $7.34 \times 10^{22}$ & $1.7 \times 10^{6}$ \\ \hline \end{tabular} < Previous Watch video Answer

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Problem 12607

Graphs, Functions, and Sequences Brooklynn Writing and evaluating a function that models a real-world situation:... Español
A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 2 miles to the road each day. Let $L$ represent the total length of the road (in miles), and let $D$ represent the number of days the crew has worked. Write an equation relating $L$ to $D$ . Then use this equation to find the total length of the road after the crew has worked 38 days.
Equation: $\square$
Total length of the road after 38 days: $\square$ miles

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Problem 12608

31. At the rate of 3 almonds per bar, how many candy bars could be made using 140 almonds?
32. At an average rate of 47 mi ./hr., how far can you go in 5 hr .?
33. If you can travel 462 mi . using 22 gal. of gas, what is the mileage rate?

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Problem 12609

35. A seamstress made five dresses using 8 yd . of trim. Find the rate of trim per dress.
36. A farmer took five loads of wheat to the elevator and was credited with $1,060 \mathrm{bu}$ number of bushels per load?

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Problem 12610

Name: $\qquad$ Due Date: $\qquad$ 1) An assembly line produces plastic piggybanks that are either pink or blue. On average, $2.4 \%$ of the banks contain defects. Of the banks with no defects, $15 \%$ were blue. The percentage of all banks produced that are perfect pink piggybanks is a) 82.6 b) 82.96 c) 85 d) 87.4 e) 95.2

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Problem 12611

A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of $2 \mathrm{ft} / \mathrm{s}$ , how fast will the foot be moving away from the wall when the top is 16 feet above the ground?
The foot will be moving at $7.5 \mathrm{ftt} / \mathrm{s}$ .

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Problem 12612

Solve for $x$ . $\log x=6$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $x=$ $\square$ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)

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Problem 12613

\ln |y| = \ln |x| + c \\ \text{Solve for } y

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Problem 12614

Use the graph below to answer the questions provided.
What is the slope of the line?
What is the $y$ intercept of the line?
Write the equation that represents the graph in slope intercept form?

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Problem 12615

Show Examples
If a tree has a height of 126 feet, what would be the angle of elevation from level ground measured from 79 feet away? Round your answer to the nearest tenth of a degree.
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 12616

Question Show Examples
If a tree has a height of 126 feet, what would be the angle of elevation from level ground measured from 79 feet away? Round your answer to the nearest tenth of a degree.
Answer Attempt 2 out of 2 $\square$ 。 Submit Answer

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Problem 12617

Let $\frac{\mathrm{d} y}{\mathrm{~d} t}=-4 y_{\text {and }} y(2)=250$ . Determine $y(8)$ $y(8)=$ $\square$

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Problem 12618

$51+(-44)=$

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Problem 12619

3. There are 35 computers in the lab. Five students each turn off an equal number of computers How many computers does each student turn off? Labelthe unknown as $m$ , and then solve.

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Problem 12620

Scores on a test have a mean of 76 and a standard deviation of 13 . Calvin has a score of 62 . Convert Calvin's score to a $z$ -score, rounded to the nearest hundredth.

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Problem 12621

Kimmy bought a 5 -kilogram can of peanuts for $\$ 4.50$ . What is the unit price?
A $\$ 0.05 / \mathrm{kg}$ C $\$ 0.50 / \mathrm{kg}$
B $\$ 0.45 / \mathrm{kg}$ D $\$ 0.90 / \mathrm{kg}$ A B C D

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Problem 12622

White the partial fraction decomposition of the rational expression. $\begin{array}{l} \frac{2 x-4}{x^{2}-5 x-14} \\ \frac{2 x-4}{x^{2}-5 x-14}= \end{array}$ (Use integers or fractions for any numbers in the expression.)

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Problem 12623

nd the exact solution algebraically, and check it by substituting into the original $\log _{2}(x-1)=-2$ $\square$ Simplify your answer.)

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Problem 12624

stion \#13:
Anna can buy 3 sweatshirts for a total of $\$ 45$ . How much would it cost if she were to buy 5 sweatshirts at the same price?
A $\$ 15$ C $\$ 60$ B $\$ 45$ D $\$ 75$
A
B ct D

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Problem 12625

\begin{tabular}{lllll} \hline Time & Oral & Intravenous & Urine & Stool \\ \hline 0800 & 360 ml & & \\ \hline 0900 & 120 ml & 250 ml & 400 ml & 1 \\ \hline 1100 & 120 ml & & \\ \hline 1200 & 240 ml & & \\ \hline 1300 & & 150 ml & \\ \hline 1400 & 120 ml & & \\ \hline 1500 & & & \\ \hline \end{tabular}
The nurse calculates the client's intake and output for the shift (above). Calculate the client's fluid balance, in milliliters, for the 8 -hour shift. Record your answer using a whole number. $410$

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Problem 12626

Solve the equation algebraically. Obtain a numerical approximation for your solution and check it by substituting into the original equation. $7 \ln (x-7)+6=7$
The solution is $x \approx$ $\square$ (Type an integer or decimal rounded to three decimal places as needed.)

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Problem 12627

Question \#14: Mks. Reznik can jog $\$ 000$ feet in 5 minutes. How many feet can she jog in 8 minutes?

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Problem 12628

Question \#15a: The ratio of boys to girls in the summer camp is 13:11. There are 120 more boys than girls. How many boys are in this camp? write numerical answer only

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Problem 12629

urrent Attempt in Progress
On June 1, Forrest Inc. issues 3,000 shares of no-par common stock at a cash price of \$7 per share. Journalize the issuance of the shares. (Credit account titles are automatically indented when amount is entered. Do not indent manually. List debit entry before credit entry. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)
Date Account Titles and Explanation Debit Cred June $\square$ $\square$ $\square$ 1 $\square$ $\square$ eTextbook and Media
List of Accounts
Save for Later

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Problem 12630

Le prix moyen de pêches par kilogramme était de $4,17 €$ en mai 1998. Ce prix a diminué de $55 \%$ entre mai 1998 et août 1999 puis il a augmenté de $66 \%$ entre août 1999 et septembre 2015.
Quel était le prix moyen de pêches par kilogramme en septembre 2015? On donnera une réponse arrondie au centime près, suivie de l'unité qui convient. Valider $\checkmark$ Suivant

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Problem 12631

Given $f^{\prime \prime}(x)=2 x-2$ and $f^{\prime}(-2)=6$ and $f(-2)=6$ . Find $f^{\prime}(x)=$ $\square$ and find $f(3)=$ $\square$

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Problem 12632

$-8+x=56$
Check the answer

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Problem 12633

Complete the factored form. $\begin{array}{c} 5 x^{2}+22 x+8=(5 x+2)() \\ 5 x^{2}+22 x+8=(5 x+2)(\square) \end{array}$

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Problem 12634

Solve Equation $\frac{1}{2} x+\frac{3}{4} x=5+2.5 x$

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Problem 12635

Given $f^{\prime \prime}(x)=2 x-2$ and $f^{\prime}(-2)=6$ and $f(-2)=6$ . Find $f^{\prime}(x)=$ $\square$ and find $f(3)=$ $\square$

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Problem 12636

Solve for the general form of all solutions: $2 \cos (x)=1$ Give your answers as radian measures rounded to 4 decimal places. The "pattern" part of your answers should be $k \pi$ or $2 k \pi$ . If you do not need both answer boxes, enter DNE instead of leaving one blank. $x=$ $\square$ or $x=$ $\square$ , where $k \in \mathbb{Z}$ .

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Problem 12637

Find $f$ if $f^{\prime \prime}(t)=2 e^{t}+3 \sin (t), f(0)=-6, f(\pi)=9$ . $f(t)=$

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Problem 12638

Learn with an example $\sim$ or Watch a video questions andused
Write the equation of this line in slope-intercept form. Time olapacd $\infty$ $\infty$ 31 Hal HIN Smantsearc Hect 120 0
Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Problem 12639

Simplify the lefthandside so that $L H S=R H S$ : $-\frac{\cos (y)}{1-\sin (y)}+\frac{\cos (y)}{1+\sin (y)}=-2 \tan (y)$ $=$ $\square$ $\square$ $\square$ $\square$ $=-2 \tan (y)$

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Problem 12640

$\frac{5 x^{3}-3 x^{2}+8 x+3}{6 x^{2}+2 x+6}=\square+\frac{\square}{5 x^{2}+2 x+6}$ (Gimplify your anewers. Do not factor. Use irtegers or fractions for any numbers in the expressions.)

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Problem 12641

11. Algebra Abby wants to know the value of $n$ in the equation $7.913 \times n=791.3$ . What value for $n$ makes the equation true?

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Problem 12642

urrent Attempt in Progress During its first year of operations, Mona Corporation had these transactions pertaining to its common stock.
Jan. 10 Issued 30,000 shares for cash at $\$ 5$ per share. July 1 Issued 60,000 shares for cash at $\$ 7$ per share. (a) Journalize the transactions, assuming that the common stock has a par value of $\$ 5$ per share. (b) Journalize the transactions, assuming that the common stock is no-par with a stated value of $\$ 1$ per share.

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Problem 12643

Jatonia sold $n$ cups of femonade at her stand for $\$ 0.75$ each. She made a total of $\$ 18.00$ . Write an equation to express how many cups of lemonade she sold.

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Problem 12644

A hand of six integer cards has one matching set of two or more cards. If the matching set of cards is removed from the hand, the score of the hand will increase by six. What are the possible values of these matching cards? Explain. Write an equation using multiplication showing how the matching cards yield an increase in score of six.

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Problem 12645

mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=687273520\&questionld=312flushed=false\&cld=79288398.back=DoAssignments.aspx?view=homework - College Algebra 1314.A10, A11 \& A12 ework: REVIEW FOR FINAL (part 1) - counts as two grades (new links) Question 36, 2.5.51 Part 1 of 2
Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through ( $-3,4$ ) and parallel to $x+4 y=7$ . a) The equation of the line in slope-intercept form is $-x+1$ . (Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

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Problem 12646

7. Solve. a) $\log _{7}(x+1)+\log _{7}(x-5)=1$ b) $\log _{3}(x-2)+\log _{3} x=1$ c) $\log _{6} x-\log _{6}(x-1)=1$ d) $\log (2 x+1)+\log (x-1)=\log 9$ e) $\log (x+2)+\log (x-1)=1$ f) $3 \log _{2} x-\log _{2} x=8$

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Problem 12647

Lou wants to make $96+56$ easier to solve in his head. He decides to add on from 96 to get to 100 first.
Add on to get to 100 . $96+\square=100$

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Problem 12648

14. Higher Order Thinking Ginny earned $\$ 49.50$ for 6 hours of gardening and $\$ 38.60$ for 4 hours of babysitting. For which job did she earn more money per hour? How much more per hour did she earn? Explain how you found the answers.

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Problem 12649

Solve for $x$ . $\ln 3+\ln (x-1)=2$
Do not round any intermediate computations, and round your answer to the nearest hundredth. $x=$

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Problem 12650

Solve each quadratic equation a. $-7(x-5)^{2}+8=-244$ $x=$ $\square$ 11 $\square$ and $x=-1$ b. $-7(x+9)^{2}-21=427$ $x=\square+1-$ $\square$

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Problem 12651

1. $0=(x-3)(x+4)\left(x^{2}-4\right)$

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Problem 12652

$\log _{3}(x+2)=-2$
Rewrite the given equation without logarithms. Do not solve for $x$ . $\square$

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Problem 12653

Suppose that $\frac{\gamma}{2}$ is an angle in quadrant 1 and that $\cos \gamma=\frac{161}{289}$ . Compute the exact value of $\sin \left(\frac{\gamma}{2}\right)$ . $\sin \left(\frac{\gamma}{2}\right)=23 \quad \times 0^{6} \frac{8}{17}$

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Problem 12654

A biology class examined some flowers in a local meadow. They saw 68 flowers, of which $50 \%$ were perennials. How many perennial flowers did the students see? $\square$ perennial flowers
Submit

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Problem 12655

12.1 HW Part 3 of 5 Points: 0 of 1
The data from car crash tests for four different vehicle size categories (Small, Midsize, Large, and SUV) with measured amounts of left leg femur force (kN) results in the following Minitab display. Using a 0.05 significance level, test the claim that the four vehicle size categories have the same mean force on the femur of the left leg. Does size of the car appear to have an effect on the force on the left femur in crash tests?
Determine the null hypothesis. $H_{0}: \mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}$
Determine the alternative hypothesis. $H_{1}$ : At least one of the means is different from the others Determine the test statistic. The test statistic is $\square$ (Round to two decimal places as needed.) Clear all Check answer

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Problem 12656

3. Brett bought three pairs of jeans and five polo shits. The jeans that regularly sell for $\$ 79$ were $35 \%$ off and the polo shirts that regularly sell for $\$ 39$ were $15 \%$ off. If sales tax is $5.75 \%$ and he gave the cashier $\$ 350$ , how much did he receive back in change?

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Problem 12657

If the adjacent side of a triangle is 56.7 units long, and the hypotenuse is 71.2 units long, what is the length of the side opposite? (A) 41.23 units (B) 43.02 units (C) 43.06 units (D) 42.27 units

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Problem 12658

Graph the linear equation. $y=5 x+4$
Use the graphing tool to graph the line.
Click to enlarge graph

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Problem 12659

If the opposite side of a triangle is 12.4 units long, and the hypotenuse is 67.8 units long, what is the length of the side adjacent? (A) 66.54 units (B) 66.65 units (C) 66.66 units (D) 66.67 units

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Problem 12660

Use the quadratic formula to solve the equation. $\begin{array}{l} m^{2}+2 m-3=0 \\ m=\square \end{array}$ $\square$ (Simplify your answer, including any radicals. Use integers or fracti

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Problem 12661

Question 5 10 pts
The directrix of the parabola $y=\frac{1}{12} x^{2}-6$ is $y=l$ . What is the value of $l$ ? $\square$

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Problem 12662

If the coefficient $a$ in the general quadratic equation is equal to $\frac{1}{48}$ , what is the focal length for the parabola, $c^{\prime}$ , equal to? 12 1 $\frac{1}{48}$ 48 $\frac{1}{12}$ 4 $\frac{1}{24}$

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Problem 12663

Palladium-103, with a half-life of 17 days, is one isotope used for this treatment. How long does it take for the activity of palladium-103 to decrease to $1.0 \%$ of its initial value and essentially cease to be effective? a. $\quad 3.7 \mathrm{mo}$ d. $\quad 7.4 \mathrm{mo}$ b. $\quad 13 \mathrm{mo}$ c. 2.1 mo e. 4.2 n

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Problem 12664

b) Starting with meridional acceleration following the motion $\left(\frac{a v}{d t}\right)$ show that $\begin{array}{l} \frac{\bar{d} \bar{v}}{d t}=\frac{d \bar{v}}{d t}+\frac{\partial \overline{u^{\prime} v^{\prime}}}{\partial x}+\frac{\partial \overline{v^{\prime} v^{\prime}}}{\partial y}+\frac{\partial \overline{v^{\prime} w^{\prime}}}{\partial z} \text { where } \\ \frac{\bar{d}()}{d t}=\frac{\partial()}{\partial}+\bar{u} \frac{\partial()}{\partial x}+\bar{v} \frac{\partial()}{\partial y}+\bar{w} \frac{\partial()}{\partial z} \end{array}$ [15 marks]

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Problem 12665

Multiple Choice 1 point
25. Given the graph of the parabola, write an equation of the parabola in both vertex and standard form. None of the above $y=-0.5(x+5)^{2}-3$ $y=-0.5 x^{2}-5 x+9.5$ $y=0.5(x+5)^{2}-3$ $y=0.5 x^{2}+5 x+9.5$
$\begin{array}{l} y=0.5(x-5)^{2}-3 \\ y=0.5 x^{2}+5 x+12 \end{array}$

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Problem 12666

Diketahui pada lingkaran $O$ terdapat titik-titik $A_{,} B_{1}$ dan $C$ . Jika besar $\angle A B C=34^{\circ}$ , berapa besar $\angle A O C$ ?
Pilih Salah Satu Jawaban (A) $58^{\circ}$
B $29^{\circ}$ (C) $68^{\circ}$ (D) $17^{\circ}$ (E) $72^{\circ}$

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Problem 12667

$\left(\frac{x-5}{2}-\frac{2 x+5}{6}\right) \times 12=$

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Problem 12668

Question 9 of 10 (i) point) I Question Attempt 2 of Unilmied
Fast reactions: In a study of reaction times, the time to respond to a visual stimulus $(x)$ and the time to respond to an auditory stimulus ( $y$ ) were recorded for each of 8 subjects. Times were measured in thousandths of a second. The results are presented in the following table. \begin{tabular}{cc} \hline Visual & Auditory \\ \hline 191 & 169 \\ 203 & 206 \\ 201 & 197 \\ 188 & 193 \\ 228 & 209 \\ 161 & 159 \\ 176 & 163 \\ 178 & 201 \\ \hline \end{tabular} Send data to Excel
The least-squares regression line $\hat{y}=b_{0}+b_{1} x=46.9658+0.7348 x$ and $\Sigma(x-\bar{x})^{2}=2915.5000$ are known for this data. Construct a $95 \%$ confidence interval for the slope. Round the answers to at least four decimal places.

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Problem 12669

Question 9 of 10 (1 point) I Question Attempt 3 of Unlimited
Fast reactions: In a study of reaction times, the time to respond to a visual stimulus $(x)$ and the time to respond to an auditory stimulus ( $y$ ) were recorded for each of 7 subjects. Times were measured in thousandths of a second. The results are presented in the following table. \begin{tabular}{cc} \hline Visual & Auditory \\ \hline 161 & 159 \\ 176 & 163 \\ 178 & 201 \\ 188 & 193 \\ 201 & 197 \\ 203 & 206 \\ 211 & 189 \\ \hline \end{tabular} Send data to Excel
The least-squares regression line $\hat{y}=b_{0}+b_{1} x=51.2341+0.7203 x$ and $\Sigma(x-\bar{x})^{2}=1895.4286$ are known for this data. Construct a $95 \%$ confidence interval for the slope. Round the answers to at least four decimal places.
The $95 \%$ confidence interval is $\square$ $<\beta_{1}<$ $\square$ 1. Save For Later Submit Assig

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Problem 12670

Find the area of the following region. The region common to the circles $r=-10 \cos \theta$ and $r=5$ .

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Problem 12671

Use synthetic division to perform the division. $\frac{-8 x^{3}+7 x^{2}-5 x+9}{x-2}$ $\frac{-8 x^{3}+7 x^{2}-5 x+9}{x-2}=$ $\square$ (Simplify your answer.)

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Problem 12672

5. $54=135-x$
6. $z-7=-19$
7. $\begin{array}{l}\text { Exit ficket } \\ z-9=-15\end{array}$
8. $52=12-b$
9. $-67=c-(-4)$
10. $x-7=87$

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Problem 12673

How many yards do you walk each camel daily if the arena is 50 yards long and 35 yards wide, walked twice? A. 70 yards B. 140 yards C. 170 yards D. 340 yards E. 3,570 yards

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Problem 12674

Solve for $z$ in the equation $2.8 = 4.8z - 5.1z - 2.6$ . Express your answer as an integer, fraction, or rounded decimal.

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Problem 12675

Solve the equation $2.8 = 4.8z - 5.1z - 2.6$ . Express your answer as an integer, fraction, or rounded decimal.

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Problem 12676

What was the temperature at midnight if it dropped $0.5^{\circ} \mathrm{C}$ each hour to $11.5^{\circ} \mathrm{C}$ by $5:00$ am?

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Problem 12677

A scientist starts at 184 feet below sea level and goes to 257 feet in 2 seconds. Find the rate of change in feet per second.

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Problem 12678

A scientist descends for 71s at 4.9 ft/s and ascends for 68s at 1.4 ft/s. How deep is she below sea level?

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Problem 12679

Convert $99.5^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 99.5$ . Round to the nearest tenth.

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Problem 12680

If Lourdes buys 12 packs of paper in 3-packs at \$10.50 each, how much more does she spend than buying 4-packs at \$13.50?

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Problem 12681

Find the tickets sold per hour if 40,000 tickets sold out in 12.5 hours using $40,000 - 12.5x = 0$ .

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Problem 12682

Solve the equation $5n - 9n + 1 = -7$ and express your answer as an integer, fraction, or decimal (2 decimal places).

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Problem 12683

Find $x$ in a right triangle with sides 10 and 11 using the Pythagorean theorem.

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Problem 12684

Calculate the hypotenuse of a right triangle with sides 8 and 10. Round your answer to 2 decimal places.

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Problem 12685

Solve for $x$ in the equation: $54 + 3 = 75x + 58 - 87x$ . Answer as an integer, fraction, or rounded decimal.

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Problem 12686

In a right triangle with sides 7 and 16, calculate the length of $x$ . $x=$

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Problem 12687

Solve the equation 9 + 4 = 4x + 9. Express your answer as an integer, simplified fraction, or decimal (2 decimal places).

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Problem 12688

Find 'x' and the lengths of sides 'ab', 'bc', 'ac' given $AC=3x^2$ , $AB=4x^2-10$ , $BC=13x-20$ .

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Problem 12689

Solve the equation -6u - 30 = 0. Provide your answer as an integer, fraction, or rounded decimal (two decimal places).

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Problem 12690

Solve the equation $8u + 2 = -16$ . Provide your answer as an integer, fraction, or decimal rounded to two decimal places.

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Problem 12691

Solve the equation: $6.3 = 1.5z - 1.7z + 5.9$ . Provide the answer as an integer, fraction, or decimal (2 decimal places).

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Problem 12692

Solve for $x$ in the equation: $45 + 85 = 53x + 85 - 99x$ . Express $x$ as an integer, fraction, or rounded decimal.

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Problem 12693

Solve the equation $2.03 v + 5.62 v - 3.41 = 0.46$ and express the answer as an integer, fraction, or rounded decimal.

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Problem 12694

Find $\csc \theta$ if $\cot \theta=-\frac{1}{6}$ and $\theta$ is in quadrant IV. Simplify your answer.

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Problem 12695

Find $\cos \theta$ if $\sin \theta=\frac{4}{5}$ and $\theta$ is in quadrant II. Simplify your answer.

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Problem 12696

Solve the equation 9 + 6 = 2x + 3. Express your answer as an integer, simplified fraction, or rounded decimal.

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Problem 12697

Convert $103.1^{\circ}$ Fahrenheit to Celsius using $1.8 C + 32 = 103.1$ . Round to the nearest tenth.

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Problem 12698

Grant can buy 6-packs for \$2.10 or 9-packs for \$2.88. How much more will he spend on 18 balls if he buys only 6-packs?

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Problem 12699

Solve the equation $9 + 6 = 2x + 3$ and express your answer as an integer, fraction, or decimal rounded to two places.

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Problem 12700

Solve the equation $5z - 7z - 24 = -32$ and express your answer as an integer, fraction, or decimal (2 decimal places).

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Equation

Problem 12601

art 2 of 2 In ADEF, C is the centroid. If DM 9, find DC and CM DC= 6 units CM units E L M C D N

Problem 12602

Problem 12603

וור 13 Beth says that the equation x + 3 = 5 has only one solution. Is Beth correct? Use the number line to help explain your reasoning. 0 + 2 3 4 95 +4 13 + 16 6 7 8 9 10 same quantity Lesson 22: Solving Equations 213 Suner Teacher

Problem 12604

Solve the following proportion. 56=n+1042\frac{5}{6}=\frac{n+10}{42}65​=42n+10​The solution set is □\square□ b. (Simplify your answer.)

Problem 12605

Solve for xxx. 5x8−2=7x12\frac{5 x}{8}-2=\frac{7 x}{12}85x​−2=127x​Simplify your answer as much as possible.

Problem 12606

Problem 12607

Problem 12608

31. At the rate of 3 almonds per bar, how many candy bars could be made using 140 almonds?32. At an average rate of 47 mi ./hr., how far can you go in 5 hr .?33. If you can travel 462 mi . using 22 gal. of gas, what is the mileage rate?

Problem 12609

35. A seamstress made five dresses using 8 yd . of trim. Find the rate of trim per dress.36. A farmer took five loads of wheat to the elevator and was credited with 1,060bu1,060 \mathrm{bu}1,060bu number of bushels per load?

Problem 12610

Problem 12611

A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2ft/s2 \mathrm{ft} / \mathrm{s}2ft/s, how fast will the foot be moving away from the wall when the top is 16 feet above the ground?The foot will be moving at 7.5ftt/s7.5 \mathrm{ftt} / \mathrm{s}7.5ftt/s.

Problem 12612

Solve for xxx. log⁡x=6\log x=6logx=6Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x=x=x= □\square□ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)

Problem 12613

\ln |y| = \ln |x| + c \\ \text{Solve for } y

Problem 12614

Use the graph below to answer the questions provided.What is the slope of the line?What is the yyy intercept of the line?Write the equation that represents the graph in slope intercept form?

Problem 12615

Show ExamplesIf a tree has a height of 126 feet, what would be the angle of elevation from level ground measured from 79 feet away? Round your answer to the nearest tenth of a degree.Answer Attempt 1 out of 2 □\square□ Submit Answer

Problem 12616

Question Show ExamplesIf a tree has a height of 126 feet, what would be the angle of elevation from level ground measured from 79 feet away? Round your answer to the nearest tenth of a degree.Answer Attempt 2 out of 2 □\square□。 Submit Answer

Problem 12617

Let dy dt=−4yand y(2)=250\frac{\mathrm{d} y}{\mathrm{~d} t}=-4 y_{\text {and }} y(2)=250 dtdy​=−4yand ​y(2)=250. Determine y(8)y(8)y(8) y(8)=y(8)=y(8)= □\square□

Problem 12618

51+(−44)=51+(-44)=51+(−44)=

Problem 12619

3. There are 35 computers in the lab. Five students each turn off an equal number of computers How many computers does each student turn off? Labelthe unknown as mmm, and then solve.

Problem 12620

Scores on a test have a mean of 76 and a standard deviation of 13 . Calvin has a score of 62 . Convert Calvin's score to a zzz-score, rounded to the nearest hundredth.

Problem 12621

Kimmy bought a 5 -kilogram can of peanuts for $4.50\$ 4.50$4.50. What is the unit price?A $0.05/kg\$ 0.05 / \mathrm{kg}$0.05/kg C $0.50/kg\$ 0.50 / \mathrm{kg}$0.50/kgB $0.45/kg\$ 0.45 / \mathrm{kg}$0.45/kg D $0.90/kg\$ 0.90 / \mathrm{kg}$0.90/kg A B C D

Problem 12622

Problem 12623

nd the exact solution algebraically, and check it by substituting into the original log⁡2(x−1)=−2\log _{2}(x-1)=-2log2​(x−1)=−2 □\square□ Simplify your answer.)

Problem 12624

stion \#13:Anna can buy 3 sweatshirts for a total of $45\$ 45$45. How much would it cost if she were to buy 5 sweatshirts at the same price?A $15\$ 15$15 C $60\$ 60$60 B $45\$ 45$45 D $75\$ 75$75AB ct D

Problem 12625

Problem 12626

Problem 12627

Question \#14: Mks. Reznik can jog $000\$ 000$000 feet in 5 minutes. How many feet can she jog in 8 minutes?

Problem 12628

Question \#15a: The ratio of boys to girls in the summer camp is 13:11. There are 120 more boys than girls. How many boys are in this camp? write numerical answer only

Problem 12629

Problem 12630

Problem 12631

Given f′′(x)=2x−2f^{\prime \prime}(x)=2 x-2f′′(x)=2x−2 and f′(−2)=6f^{\prime}(-2)=6f′(−2)=6 and f(−2)=6f(-2)=6f(−2)=6. Find f′(x)=f^{\prime}(x)=f′(x)= □\square□ and find f(3)=f(3)=f(3)= □\square□

Problem 12632

−8+x=56-8+x=56−8+x=56Check the answer

Problem 12633

Complete the factored form. 5x2+22x+8=(5x+2)()5x2+22x+8=(5x+2)(□)\begin{array}{c} 5 x^{2}+22 x+8=(5 x+2)() \\ 5 x^{2}+22 x+8=(5 x+2)(\square) \end{array}5x2+22x+8=(5x+2)()5x2+22x+8=(5x+2)(□)​

Problem 12634

Solve Equation 12x+34x=5+2.5x\frac{1}{2} x+\frac{3}{4} x=5+2.5 x21​x+43​x=5+2.5x

Problem 12635

Given f′′(x)=2x−2f^{\prime \prime}(x)=2 x-2f′′(x)=2x−2 and f′(−2)=6f^{\prime}(-2)=6f′(−2)=6 and f(−2)=6f(-2)=6f(−2)=6. Find f′(x)=f^{\prime}(x)=f′(x)= □\square□ and find f(3)=f(3)=f(3)= □\square□

Problem 12636

Problem 12637

Find fff if f′′(t)=2et+3sin⁡(t),f(0)=−6,f(π)=9f^{\prime \prime}(t)=2 e^{t}+3 \sin (t), f(0)=-6, f(\pi)=9f′′(t)=2et+3sin(t),f(0)=−6,f(π)=9. f(t)=f(t)=f(t)=

Problem 12638

Learn with an example ∼\sim∼ or Watch a video questions andusedWrite the equation of this line in slope-intercept form. Time olapacd ∞\infty∞ ∞\infty∞ 31 Hal HIN Smantsearc Hect 120 0Write your answer using integers, proper fractions, and improper fractions in simplest form.

Problem 12639

Problem 12640

5x3−3x2+8x+36x2+2x+6=□+□5x2+2x+6\frac{5 x^{3}-3 x^{2}+8 x+3}{6 x^{2}+2 x+6}=\square+\frac{\square}{5 x^{2}+2 x+6}6x2+2x+65x3−3x2+8x+3​=□+5x2+2x+6□​ (Gimplify your anewers. Do not factor. Use irtegers or fractions for any numbers in the expressions.)

Problem 12641

11. Algebra Abby wants to know the value of nnn in the equation 7.913×n=791.37.913 \times n=791.37.913×n=791.3. What value for nnn makes the equation true?

Problem 12642

Problem 12643

Jatonia sold nnn cups of femonade at her stand for $0.75\$ 0.75$0.75 each. She made a total of $18.00\$ 18.00$18.00. Write an equation to express how many cups of lemonade she sold.

Problem 12644

Problem 12645

Problem 12646

Problem 12647

Lou wants to make 96+5696+5696+56 easier to solve in his head. He decides to add on from 96 to get to 100 first.Add on to get to 100 . 96+□=10096+\square=10096+□=100

Solve the following proportion. $\frac{5}{6}=\frac{n+10}{42}$
The solution set is $\square$ b. (Simplify your answer.)

Solve for $x$ . $\frac{5 x}{8}-2=\frac{7 x}{12}$
Simplify your answer as much as possible.

31. At the rate of 3 almonds per bar, how many candy bars could be made using 140 almonds?
32. At an average rate of 47 mi ./hr., how far can you go in 5 hr .?
33. If you can travel 462 mi . using 22 gal. of gas, what is the mileage rate?

35. A seamstress made five dresses using 8 yd . of trim. Find the rate of trim per dress.
36. A farmer took five loads of wheat to the elevator and was credited with $1,060 \mathrm{bu}$ number of bushels per load?

A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of $2 \mathrm{ft} / \mathrm{s}$ , how fast will the foot be moving away from the wall when the top is 16 feet above the ground?
The foot will be moving at $7.5 \mathrm{ftt} / \mathrm{s}$ .

Solve for $x$ . $\log x=6$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $x=$ $\square$ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)

Use the graph below to answer the questions provided.
What is the slope of the line?
What is the $y$ intercept of the line?
Write the equation that represents the graph in slope intercept form?

Show Examples
If a tree has a height of 126 feet, what would be the angle of elevation from level ground measured from 79 feet away? Round your answer to the nearest tenth of a degree.
Answer Attempt 1 out of 2 $\square$ Submit Answer

Question Show Examples
If a tree has a height of 126 feet, what would be the angle of elevation from level ground measured from 79 feet away? Round your answer to the nearest tenth of a degree.
Answer Attempt 2 out of 2 $\square$ 。 Submit Answer

Let $\frac{\mathrm{d} y}{\mathrm{~d} t}=-4 y_{\text {and }} y(2)=250$ . Determine $y(8)$ $y(8)=$ $\square$

$51+(-44)=$

3. There are 35 computers in the lab. Five students each turn off an equal number of computers How many computers does each student turn off? Labelthe unknown as $m$ , and then solve.

Scores on a test have a mean of 76 and a standard deviation of 13 . Calvin has a score of 62 . Convert Calvin's score to a $z$ -score, rounded to the nearest hundredth.

Kimmy bought a 5 -kilogram can of peanuts for $\$ 4.50$ . What is the unit price?
A $\$ 0.05 / \mathrm{kg}$ C $\$ 0.50 / \mathrm{kg}$
B $\$ 0.45 / \mathrm{kg}$ D $\$ 0.90 / \mathrm{kg}$ A B C D

nd the exact solution algebraically, and check it by substituting into the original $\log _{2}(x-1)=-2$ $\square$ Simplify your answer.)

stion \#13:
Anna can buy 3 sweatshirts for a total of $\$ 45$ . How much would it cost if she were to buy 5 sweatshirts at the same price?
A $\$ 15$ C $\$ 60$ B $\$ 45$ D $\$ 75$
A
B ct D

Question \#14: Mks. Reznik can jog $\$ 000$ feet in 5 minutes. How many feet can she jog in 8 minutes?

Given $f^{\prime \prime}(x)=2 x-2$ and $f^{\prime}(-2)=6$ and $f(-2)=6$ . Find $f^{\prime}(x)=$ $\square$ and find $f(3)=$ $\square$

$-8+x=56$
Check the answer

Complete the factored form. $\begin{array}{c} 5 x^{2}+22 x+8=(5 x+2)() \\ 5 x^{2}+22 x+8=(5 x+2)(\square) \end{array}$

Solve Equation $\frac{1}{2} x+\frac{3}{4} x=5+2.5 x$

Given $f^{\prime \prime}(x)=2 x-2$ and $f^{\prime}(-2)=6$ and $f(-2)=6$ . Find $f^{\prime}(x)=$ $\square$ and find $f(3)=$ $\square$

Find $f$ if $f^{\prime \prime}(t)=2 e^{t}+3 \sin (t), f(0)=-6, f(\pi)=9$ . $f(t)=$

Learn with an example $\sim$ or Watch a video questions andused
Write the equation of this line in slope-intercept form. Time olapacd $\infty$ $\infty$ 31 Hal HIN Smantsearc Hect 120 0
Write your answer using integers, proper fractions, and improper fractions in simplest form.

$\frac{5 x^{3}-3 x^{2}+8 x+3}{6 x^{2}+2 x+6}=\square+\frac{\square}{5 x^{2}+2 x+6}$ (Gimplify your anewers. Do not factor. Use irtegers or fractions for any numbers in the expressions.)

11. Algebra Abby wants to know the value of $n$ in the equation $7.913 \times n=791.3$ . What value for $n$ makes the equation true?

Jatonia sold $n$ cups of femonade at her stand for $\$ 0.75$ each. She made a total of $\$ 18.00$ . Write an equation to express how many cups of lemonade she sold.

Lou wants to make $96+56$ easier to solve in his head. He decides to add on from 96 to get to 100 first.
Add on to get to 100 . $96+\square=100$

14. Higher Order Thinking Ginny earned $\$ 49.50$ for 6 hours of gardening and $\$ 38.60$ for 4 hours of babysitting. For which job did she earn more money per hour? How much more per hour did she earn? Explain how you found the answers.

Solve for $x$ . $\ln 3+\ln (x-1)=2$
Do not round any intermediate computations, and round your answer to the nearest hundredth. $x=$

Solve each quadratic equation a. $-7(x-5)^{2}+8=-244$ $x=$ $\square$ 11 $\square$ and $x=-1$ b. $-7(x+9)^{2}-21=427$ $x=\square+1-$ $\square$

1. $0=(x-3)(x+4)\left(x^{2}-4\right)$

$\log _{3}(x+2)=-2$
Rewrite the given equation without logarithms. Do not solve for $x$ . $\square$

A biology class examined some flowers in a local meadow. They saw 68 flowers, of which $50 \%$ were perennials. How many perennial flowers did the students see? $\square$ perennial flowers
Submit

Graph the linear equation. $y=5 x+4$
Use the graphing tool to graph the line.
Click to enlarge graph

Use the quadratic formula to solve the equation. $\begin{array}{l} m^{2}+2 m-3=0 \\ m=\square \end{array}$ $\square$ (Simplify your answer, including any radicals. Use integers or fracti

Question 5 10 pts
The directrix of the parabola $y=\frac{1}{12} x^{2}-6$ is $y=l$ . What is the value of $l$ ? $\square$

If the coefficient $a$ in the general quadratic equation is equal to $\frac{1}{48}$ , what is the focal length for the parabola, $c^{\prime}$ , equal to? 12 1 $\frac{1}{48}$ 48 $\frac{1}{12}$ 4 $\frac{1}{24}$

$\left(\frac{x-5}{2}-\frac{2 x+5}{6}\right) \times 12=$

Find the area of the following region. The region common to the circles $r=-10 \cos \theta$ and $r=5$ .

Use synthetic division to perform the division. $\frac{-8 x^{3}+7 x^{2}-5 x+9}{x-2}$ $\frac{-8 x^{3}+7 x^{2}-5 x+9}{x-2}=$ $\square$ (Simplify your answer.)

5. $54=135-x$
6. $z-7=-19$
7. $\begin{array}{l}\text { Exit ficket } \\ z-9=-15\end{array}$
8. $52=12-b$
9. $-67=c-(-4)$
10. $x-7=87$

Solve for $z$ in the equation $2.8 = 4.8z - 5.1z - 2.6$ . Express your answer as an integer, fraction, or rounded decimal.