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Problem 21101

(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 21102

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 21103

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 21104

$3-4$ . State the answer as an ordered pair $(x, y)$ , if possible.
3. Solve $\left\{\begin{array}{c}y=4 x-1 \\ y=-\frac{1}{2} x+8\end{array}\right.$ by graphing.

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Problem 21105

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 21106

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 21107

Problème 3. Soit $f(x)=\sqrt{3 x+1}$ . (a) Trouver la dérivée de $f(x)$ à l'aide de la définition de la dérivée par une limite. Aucun point ne sera attribué pour une réponse utilisant les règles de dérivation. (b) Trouver le(s) point(s) de la courbe $y=\sqrt{3 x+1}$ où la tangente est parallèle à la droite d'équation $3 x-8 y=5$ .

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Problem 21108

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 21109

10. Calculate the value of the following series: $\sum_{k=2}^{\infty} \frac{1}{(3 k+1)(3 k+4)}$

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Problem 21110

1. Solve each equation. Use a double number line if it is helpful. a. $-3 x-5=20$ $-25 / 3$ b. $\frac{4}{5} x+2=14$
15 $\{3(x-4+13)=36$

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Problem 21111

Solve for $h$ . $h+3>9$

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Problem 21112

7 Si $f(x)=x^{2}$ , ¿qué función es el resultado de desplazar $f(x) 3$ unidades hacia la izquierda y 2 unidades hacia abajo? (1) $g(x)=(x+2)^{2}-3$ (3) $j(x)=(x+3)^{2}-2$ (2) $h(x)=(x-2)^{2}+3$ (4) $k(x)=(x-3)^{2}+2$
8 La ecuación utilizada para calcular la velocidad de un objeto es la siguiente: $v^{2}=u^{2}+2 a s$ , donde $u$ es la velocidad inicial, $v$ es la velocidad final, $a$ es la aceleración del objeto y $s$ es la distancia recorrida. Cuando se resuelve esta ecuación para $a$ , el resultado es (1) $a=\frac{v^{2} u^{2}}{2 s}$ (3) $a=v^{2}-u^{2}-2 s$ (2) $a=\frac{v^{2}-u^{2}}{2 s}$ (4) $a=2 s\left(v^{2}-u^{2}\right)$
9 La clase de Matemáticas de la Sra. Smith hizo una encuestó a los estudiantes para determinar sus sabores favoritos de helado. Los resultados se muestran en la siguiente tabla. \begin{tabular}{|c|c|c|c|} \cline { 2 - 4 } \multicolumn{1}{c|}{} & Chocolate & Vainilla & Combinado \\ \hline 11. $^{\circ}$ grado & 42 & 27 & 45 \\ \hline 12. $^{\circ}$ grado & 67 & 42 & 21 \\ \hline \end{tabular}
De los estudiantes que prefieren chocolate, Aproximadamente, ¿qué porcentaje era de $12 .^{\circ}$ grado? (1) 27.5 (3) 51.5 (2) 44.7 (4) 61.5

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Problem 21113

given below were taken from bout the preferred payment Cash or Credit card). The ow indicates the numbers of the study according to their nd preferred payment \begin{tabular}{ccc} \hline & Cash & Credit Card \\ \hline & 165 & 240 \\ n & 208 & 387 \\ \hline \end{tabular} an is selected at random, e probability that she prefers card payment method?
6504 3496 .5926 .0000 .5576 6172 3828 .4074 .4424 .0000

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Problem 21114

16. $\sqrt[3]{x-12}=3$
17. $\sqrt[4]{5 x+6}-9=0$
18. $\sqrt{1-3 x}-6=4$
19. $3 x^{\frac{2}{3}}=75$

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Problem 21115

2. Write each fraction as a decimal. $\frac{1}{4}=\quad \frac{1}{5}=$

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Problem 21116

Find $\lim _{x \rightarrow 2^{-}} \sin ^{-1}\left(\frac{x}{2}\right)$ $\lim _{x \rightarrow 2^{-}} \sin ^{-1}\left(\frac{x}{2}\right)=\square$ (Type an exact answer, using $\pi$ as needed.)

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Problem 21117

n, using a calculator if necessary to evaluate the logarithm. Write your answer as a fraction or ro $\ln \left(\mathrm{e}^{\mathrm{x}}\right)=15.1$ w window) $x=$ $\square$

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Problem 21118

2. Beth poured $\frac{3}{4}$ cup of cereal in a bowl. Then Beth took $\frac{1}{2}$ of that cereal and put it into another bowl. How many cups of cereal are in the second bowl?

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Problem 21119

Warm Up Solve the following radical equation for $x$ . $8 \sqrt{2 x+3}-10=30$

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Problem 21120

5 Résolvez les équations suivantes. a) $-5 x^{2}+160 x-1200=0$

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Problem 21121

Sections $4.7+4.8$
Show all work! (1) Find the exact value of each expression. state if undefined. a) $\arccos \left(\frac{1}{2}\right)$ b) $\arcsin (4)$ c) $\sin \left(\arcsin \left(-\frac{1}{2}\right)\right)$ d) $\tan \left(\arccos \left(\frac{3}{7}\right)\right) \quad \begin{array}{l}\text { sketcl this on the } \\ \text { coordinate plane. }\end{array}$ (2) Solve the problem. Use exact values (leave in terms of a trig function. Aski slope is 52 ft long and the angle A ski slope is from the ground to the summit is $42^{\circ}$ . How high is the summit? (Draw your best ski slope and mountain) "̈

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Problem 21122

Find the derivative of the function $f(x) = (9x^6 + 9x)^{15}$ .

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Problem 21123

9 Multiple Choice 6 points
Assume $\$ 20,000$ is deposited into a savings account. Boulder Bank offers an annual rate of $0.84 \%$ for 5 years. Stone Bank offers a rate of $3.7 \%$ interest for 1 year. Which earns more interest? Boulder Bank Stone Bank 10 Fill in the Blank 6 points
A couple is planning a savings account for a newborn baby. They start with $\$ 10,700$ they received as cash gifts. If no deposits or withdrawals are made, what is the balance of the account if it earns $0.98 \%$ interest for 18 years? type your answer... 11 Fill in the Blank 6 points
Ron estimates it will cost him $\$ 600,000$ to send his daughter to a private college in 18 years. He currently has $\$ 130,000$ to deposit in an account. What simple interest rate must his account have to reach a balance of $\$ 600,000$ in 18 years? Round to the nearest percent. type your answer... Submit

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Problem 21124

This is a multi-part problem. If $F(t)=\frac{t^{3}}{3}+4 t^{2}-t$ , find $F^{\prime}(t)$ . $F^{\prime}\left(\frac{x^{\prime}}{\prime}\right)=$ $\square$ Preview My Answers Submit Answers Show me another

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Problem 21125

Determine whether the ordered pair is a solution to the inequality. $5 x+6 y>30$ (a) $(-1,2)$ (b) $(4,-1)$ (c) $(6,0)$

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Problem 21126

Exercise 16B 1 The profit, $\$ P$ million, made by a business which invests $\$ x$ million in advertising is given by $P=10 x^{2}-10 x^{4} \text { for } x \geqslant 0$
Find the maximum profit the company can make based on this model. 2 A manufacturer produces smartphone covers. They know that if they sell $n$ thousand covers, they will make a profit of $\$ P$ hundred, and they use the model $P=20 n-3 n^{2}-n^{5}$ . Find, to the nearest dollar, the maximum profit they can make according to this model. 3 The fuel consumption of a car, $F$ litres per 100 km , varies with the speed, $v \mathrm{~km} \mathrm{~h}^{-1}$ , according to the equation $F=\left(3 \times 10^{-6}\right) v^{3}-\left(1.2 \times 10^{-4}\right) v^{2}-0.035 v+12$ At what speed should the car be driven in order to minimize fuel consumption? 4 The rate of growth, $R$ , of a population of bacteria, $t$ hours after the start of an experiment, is modelled by $R=\frac{6}{t}-\frac{47}{t^{4}}$ for $t \geqslant 2$ . Find the time when the population growth is the fastest. 5 A rectangle has width $x \mathrm{~cm}$ and length $20-x \mathrm{~cm}$ . a Find the perimeter of the rectangle. b Find the maximum possible area of the rectangle. 6 A rectangle has sides $3 x \mathrm{~cm}$ and $\frac{14}{x} \mathrm{~cm}$ . a Find the area of the rectangle. b Find the smallest possible perimeter of the rectangle. 7 A cuboid is formed by a square base of side length $x \mathrm{~cm}$ . The other side of the cuboid is of length $9-x \mathrm{~cm}$ . Find the maximum possible volume of the cuboid. 8 A rectangle has area $36 \mathrm{~cm}^{2}$ . Let $x \mathrm{~cm}$ be the length of one of the sides. a Express the perimeter of the rectangle in terms of $x$ . b Hence find the smallest possible perimeter.

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Problem 21127

Use properties of rational numbers to multiply the following. $-\frac{6}{5} \times 3.875$ A. $\frac{107}{40}$ B. $-\frac{24}{5}$ C. $-\frac{93}{20}$ D. $-\frac{155}{48}$

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Problem 21128

-3 Quiz The ratio of the measures of the sides of a triangle is $9: 7: 3$ . If the perimeter of the triangle is 266 inches, find the length of the shortest side.

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Problem 21129

Question Watch Video Show Examples
A new car is purchased for 20300 dollars. The value of the car depreciates at $8.75 \%$ per year. What will the value of the car be, to the nearest cent, after 12 years?
Answer $\square$ Submit Answer You have up to 8 questions left to raise your score. Still Stuck?

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Problem 21130

Find the $n$ -th term of the sequence: $9, 17, 27, 39$ .

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Problem 21131

4. If $f(x)=\ln (\ln x)$ , then $f^{\prime}(x)=$

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Problem 21132

$\int \frac{e^{x}-7 x}{5} d x=$

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Problem 21133

Question 6 of 9, Step 1 of 1 $4 / 11$ Correct 1
The function $\mathrm{C}(\mathrm{t})=\mathrm{C}_{0}(1+\mathrm{r})^{t}$ models the rise in the cost of a product that has a cost of $\mathrm{C}_{0}$ today, subject to an average yearly inflation rate of $r$ for $t$ years. If the average annual rate of inflation over the next 11 years is assumed to be $3.5 \%$ , what will the inflation-adjusted cost of a $\$ 18,100$ car be in 11 years? Round to two decimal places.

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Problem 21134

There are 35 nickels on one pan of a pan balance and 26 nickels on the other. To make the pans balance, Levi thinks 5 nickels should be added to the higher pan, Isaac thinks 8 nickels should be added, and Miranda thinks 9 nickels should be added. Use the equation $35=26+n$ to determine who is correct. $\square$ is correct because the value $\square$ makes the equation $\square$

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Problem 21135

The circumference of a circle is $11 \pi \mathrm{~m}$ . Find its radius, in meters.
Answer Attempt 1 out of 2 $r=$ $\square$ m Submit Answer Copyright C2024 DeltaMathicom All Rights Reserved. Privacy Policy Terms of Service

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Problem 21136

Using the substitution $3 \sin (u)=x$ , we obtain $\int x^{2} \sqrt{9-x^{2}} d x=\int K \sin ^{m} u \cos ^{n} u d u$ where the constants $K=$ $\square$ $\square$ $m=$ and $n=$ $\square$ .
Using this result and your knowledge about indefinite integrals of powers of $\sin u$ and $\cos u$ , find the indefinite integral $\int x^{2} \sqrt{9-x^{2}} d x=\square+C$
Note: Your answer should be in terms of $x$ , not $u$ .

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Problem 21137

Evaluate. $\int_{1}^{4}\left(5 x^{3}+8\right) d x$

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Problem 21138

Find the length of the third side. If necessary, round to the nearest tenth.
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 21139

A youth group is made up of exactly 11 girls and 9 boys. Each member of the youth group recorded the number of books that they read last year.
The mean number of books read by the girls was 7 . The mean number of books read by the boys was 4 . What was the total number of books read by the youth group members last year?

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Problem 21140

The price of a jumper is reduced by $17 \%$ in a sale. The sale price is $£ 62.25$
What was the original price of the jumper?

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Problem 21141

Make $x$ the subject of $x-9=r$

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Problem 21142

Make $x$ the subject of $5 x=r$

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Problem 21143

Find the average value of the function $f(x)=x^{2}-3$ on $[0,3]$

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Problem 21144

In the figure below, find the exact value of $y$ . (Do not approximate your answer.) $y=$ $\square$

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Problem 21145

Rearrange $g=f r$ to make $f$ the subject.

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Problem 21146

Rearrange $k=d w$ to make $d$ the subject.

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Problem 21147

Rearrange $a k-y=c$ to make $k$ the subject.

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Problem 21148

Make $k$ the subject of $d=\frac{k+m}{2}$

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Problem 21149

Which of the following is equivalent to $i^{26}$ ? -1 $-i$ 1 i

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Problem 21150

Directions: Solve, graph, and write the solution to each inequality in interval notation.
1. $|b+3| \geq 7$
Interval Notation:
3. $|5 k+4| \geq 36$
Interval Notation:
5. $\left|\frac{n}{7}\right|-6>-5$
Interval Notation:
2. $|-2 v-4|<8$
Interval Notation:
4. $|3-9 y| \leq 33$
Interval Notation:
6. $\frac{|5+3 w|}{-2} \leq-1$
Interval Notation: Gina Wilson (All Things Algebra), 201

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Problem 21151

$x^{2}-2 x-8 \leq 0$

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Problem 21152

Read the problem. The Van Gogh Middle School class president asked 200 students to vote on a theme for the spring formal dance. 140 students voted for a "Starry Night" theme. What percent of the students voted for a "Starry Night" theme?
Pick the model that represents the problem. \begin{tabular}{|l|l|l|l|l|} \hline $0 \%$ & \multicolumn{3}{|c|}{ $?$ } & $100 \%$ \\ \hline & & & \\ \hline 0 & 140 & 200 \\ \hline \end{tabular}
What percent of the students voted for a "Starry Night" theme? $\square$ \%

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Problem 21153

\begin{tabular}{|l|l|l|} \hline \multicolumn{2}{|c|}{ EXAMEN PARCIAL 3 } & \\ \hline Materia & Cálculo Diferencial & \\ \hline Semestre & 2 \\ \hline Carrera & Tecnología en Obras Civiles & \\ \hline \end{tabular}
1. Resuelva las siguientes derivadas usando la Regla de la cadena a. $h(t)=2 \cos (1-2 x)^{2}$ b. $g(x)=\frac{x}{\sqrt{x^{4}+4}}$ c. $y=-\frac{5 x}{(x+3)^{3}}$
2. Resuelva las siguientes derivadas Implícitas a. $x \sqrt{y+1}=x y+1$ b. $\sqrt{5 x y}+2 y=x^{2} y+x y^{3}$ c. $3 y^{3} x^{2}+4 x^{2} y^{3}-\frac{3 y^{2}}{x}=12 x^{2}+\cos (x y)$ d. $9 x^{2}=\frac{\sqrt{x}}{\sqrt{y}}$
3. Resuelva las siguientes derivadas usando una Razón de cambio adecuiada. a. Un globo completamente esférico está siendo inflado a una razón de $3 \mathrm{~cm} 3 / \mathrm{s}$ .

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Problem 21154

For a confidence level of $98 \%$ with a sample size of 21 , find the critical $t$ -value (also known as the $t$ -score). $\square$ (round to 3 decimal places)

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Problem 21155

$5 x+3 y=15$

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Problem 21156

(Español)
Two angles are complementary. The measure of one angle is $9^{\circ}$ more than twice the measure of the other angle. Find the measure of each angle.
Part 1 of 2
The measure of the smaller angle is $\square$ .
Part 2 of 2
The measure of the larger angle is $\square$

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Problem 21157

Solve by completing the square. $-3 v^{2}+48 v-75=0$
言A Write your answers as integers, proper or improper fractions in simplest form, or cimals rounded to the nearest hundredth. ) [ix $\left.\dot{x}_{A}\right]=$ $\square$ or $v=$ $\square$

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Problem 21158

Solve the system by using the addition method. $\begin{aligned} 4 x^{2}+y^{2} & =37 \\ 6 x^{2}-4 y^{2} & =50 \end{aligned}$ There are infinitely many solutions. The solution set is the empty set, $\}$ . The solution set is a finite set. The solution set is $\square$ \}

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Problem 21159

Determine the following indefinite integral. $\begin{array}{r} \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x \\ \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x= \end{array}$

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Problem 21160

1. $(04.02 \mathrm{LC})$
Solve the following system of equations: (1 point) $\begin{array}{l} x-2 y=14 \\ x+3 y=9 \end{array}$ $(1,12)$ $(-1,-12)$ $(12,-1)$ $(12,1)$

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Problem 21161

Solve the following equation: $\frac{3}{4} x=60$

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Problem 21162

6. (04.02 MC)
A gym offers regular memberships for $\$ 80$ per month and off-peak memberships for $\$ 60$ per month. Last month, the gym sold a total of 420 memberships for a total of $\$ 31,100$ . The following system of equations models this scenario: $\begin{array}{l} 80 x+60 y=31,100 \\ x+y=420 \end{array}$
How many of the memberships sold were regular memberships? (1 point) 125 140 235 295

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Problem 21163

12. Let a equal the measure of angle $A$ . The equation $360^{\circ}=a+90^{\circ}+135^{\circ}+75^{\circ}$ represents the sum of the angles in the quadrilateral. Find the missing angle measure by solving the equation.

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Problem 21164

$\mathrm{V}_{2} \mathrm{O}_{5}+\ldots \mathrm{HCl} \rightarrow \ldots \mathrm{VOCl}_{3}+\ldots \mathrm{H}_{2} \mathrm{O}$

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Problem 21165

Juan said it would take 37 minutes to clean the house. The actual time it takes will be 45 minutes. What was Juan's percent error?

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Problem 21166

Solve the equation. Simplify the answer as much as possible. $27^{x+5}=9^{2 x+2}$
The solution set is $\square$ \}.

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Problem 21167

hmic Functions Question 11, 5.4.67
Solve the equation. Use the change of base formula when appropriate. $e^{-x}=18$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $x=$ $\square$ (Type an integer or decimal rounded to the nearest hundredth as needed.) B. There is no solution.

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Problem 21168

6. $\overline{Q S}$ is an angle bisector and $\overline{T U}$ is a perpendicular bisector of $\triangle P Q R, m \angle R Q S=14 x-21, m \angle P Q S=5 x-3$ , $P U=11 z-20, Q U=2 z+16$ and $m \angle T U Q=6 y-12$ . Calculate the value of $x, y, z, P U, Q U, m \angle R Q P$ , and $m \angle P U T$ . $14 x-21=5 x-3$ $+21=+21$ $\begin{array}{l} 9 x=18 \\ x=2 \end{array}$

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Problem 21169

unctions Question 13, 5.4.71
Solve the equation. $10^{5 x}=10000$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $x=$ $\square$ . (Type an integer or a fraction.) B. There is no solution.

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Problem 21170

For the following function $f$ , find the antiderivative $F$ that satisfies the given condition. $\begin{array}{l} f(v)=\frac{1}{5} \sec v \tan v, F(0)=1,-\frac{\pi}{2}<v<\frac{\pi}{2} \\ F(v)=\square \end{array}$ $\square$

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Problem 21171

14. This year, a rancher counted 225 horses on the range. This count is 22 fewer than last year. How many horses did the rancher count last year? Let $h$ be the number of horses counted last year. Solve $h-22=225$ to find the number of horses counted last year.

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Problem 21172

$2.6 \times 10^{-5} \frac{\mathrm{~kg}}{\mathrm{~mol} \cdot \mathrm{dL}}=\square \frac{\mathrm{g}}{\mathrm{mol} \cdot \mathrm{L}}$

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Problem 21173

Using the figure below, find the value of $\int_{2}^{12} f(x) d x$ . $\int_{2}^{12} f(x) d x=$ $\square$

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Problem 21174

4. In 2021, the approximate population of India was $1.4 \times 10$ people. Spain's population in 2021 was about 4 how many times greater was India's population than Spain's population 0.3

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Problem 21175

Answer the following questions. Express your answers using a fraction. a. A puppy weighed $\frac{1}{3} \mathrm{~kg}$ at birth. After one week, its weight increased by $\frac{1}{4} \mathrm{~kg}$ and then it gained another $\frac{3}{8} \mathrm{~kg}$ during the second week. How much did the puppy weigh at 2 weeks old?

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Problem 21176

$\begin{array}{l}\frac{c}{3}=-5 m-\frac{8}{3} \\ -\frac{m}{7}+\frac{3 c}{4}=-6\end{array}$

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Problem 21177

A man had a piece of leather that was $\frac{3}{4}$ metre long. He cut off $\frac{2}{5}$ metre for a project and then cut off a 30 -centimetre piece to give to his friend. i. What fraction of the original piece of leather is left?

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Problem 21178

Points: 0 of 6
Engineers want to design seats in commercial aircraft so that they are wide enough to fit $99 \%$ of all adults. (Accommodating $100 \%$ of adults would require very wide seats that would be much too expensive.) Assume adults have hip widths that are normally distributed with a mean of 14.6 in. and a standard deviation of 0.8 in. Find P99. That is, find the hip width for adults that separates the smallest $99 \%$ from the largest $1 \%$ .
What is the maximum hip width that is required to satisfy the requirement of fitting $99 \%$ of adults? $\square$ in. (Round to one decimal place as needed.)

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Problem 21179

A scale diagram of a building is drawn using a scale of 1 cm to 5 m . The building is 20 m tall in real life.
How tall is the diagram of the building? Give your answer in centimetres (cm).

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Problem 21180

2. Resuelva las siguientes derivadas Implícitas a. $x \sqrt{y+1}=x y+1$ b. $\sqrt{5 x y}+2 y=x^{2} y+x y^{3}$ c. $3 y^{3} x^{2}+4 x^{2} y^{3}-\frac{3 y^{2}}{x}=12 x^{2}+\cos (x y)$ d. $9 x^{2}=\frac{\sqrt{x}}{\sqrt{y}}$

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Problem 21181

One year, the population of a city was 352,000. Several years later it was 337,920 . Find the percent decrease.
Answer \% Submit Answer

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Problem 21182

After finishing her dinner, Shianne spends $\frac{26}{15}$ hours at hockey practice, 41 minutes reading, $\frac{21}{30}$ of an hour doing homework, and half an hour watching TV, then she goes to bed. i. How much time does Shianne spend on all of her after-dinner activities? ii. If Shianne finishes dinner at $6: 15 \mathrm{pm}$ , what time does she go to bed?

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Problem 21183

Feng invests money in an account paying simple interest. He invests $\$ 70$ and no money is added or removed from the investment. After one year, he has $\$ 70.70$ . What is the simple percent interest per year?
Answer $\square$ \% Submit Answer

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Problem 21184

Amelia invests money in an account paying simple interest. She invests $\$ 100$ and no money is added or removed from the investment. After one year, she has $\$ 101$ . What is the simple percent interest per year?
Answer $\square$ \% Submit Answer

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Problem 21185

Ava went shopping for a new pair of pants. The listed price of the pair of pants was $\$ 21$ , but the price with tax came to $\$ 21.63$ . Find the percent sales tax.
Answer $\square$ \% Submit Answer

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Problem 21186

Mathematics Progress Check tum.com/assessments-delivery/sa/progresstest/launch/167859/45296478/aHR0cHM6Ly9mMS5hcHAuZWRtZW5
Mathematics Progress Check
Complete the square above. What are the coordinates of the missing vertex? A. $(2,5)$ B. $(3,5)$ C. $(3,4)$ D. $(4,5)$

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Problem 21187

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 16 miles per hour slower than the eastbound train. If the two trains are 540 miles apart after 3 hours, what is the rate of the westbound train?
Do not do any rounding. $\square$ 7 miles \$er hour

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Problem 21188

$2 \div 1=$

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Problem 21189

15PTS SOLVE GRAPHICALLY on graph paper: $\text { 11) } \begin{aligned} y & \geq|x-2| \& y<|x|+4 \\ x & =-2 \\ y & =4 \end{aligned}$ 12) $3 x-y \geq-2 \& 2 x+y \leq 4 \& y \geq 0 \& x \geq 0$

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Problem 21190

15PTS SOLVE GRAPHICALLY on graph paper: $\text { 11) } \begin{aligned} y & \geq|x-2| \& y<|x|+4 \\ x & =-2 \\ y & =4 \end{aligned}$ 12) $3 x-y \geq-2 \& 2 x+y \leq 4 \& y \geq 0 \& x \geq 0$

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Problem 21191

12. Find $b$ such that the function $f(x)=3 x^{2}+4 x+2$ has an average value of 10 on the interval $[0, b]$ . (Ans: $b=2$ )

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Problem 21192

Laura and Martin obtain a 20 -year, $\$ 190,000$ conventional mortgage at $9.5 \%$ on a house selling for $\$ 230,000$ . Their monthly \$1772.70. a) Determine the total amount they will pay for their house.

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Problem 21193

13. Find $\frac{d y}{d x}$ for the following functions. Do not simplify your answer. a) $y=x^{4} \log _{4}\left(x^{2}-5\right)$

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Problem 21194

2. Luke, Obi-Wan and Yoda are collecting light sabers for their collections. Together, they have 11 light sabers. The number of light sabers Luke has combined with 2 times the number Obi-Wan has equals three less than three times the number Yoda has. Four times the number Obi-Wan has combined with three times the number Yoda has is the same as four times as many as Luke. How many light sabers does each person have?
Luke: $\qquad$ light sabers
Obi-wan: $\qquad$ light sabers
Yoda: $\qquad$ light sabers

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Problem 21195

$61=-9 c+7$

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Problem 21196

What is the measure of each exterior angle of a regular hexagon? $40^{\circ}$ $45^{\circ}$ $60^{\circ}$ $72^{\circ}$

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Problem 21197

This is a new version of the question. Make sure you start new workings. The diagram below shows a kite shape. Four identical copies of this kite have then been used to make the larger shape. Work out the size of angle $x$ . Give your answer in degrees ( ${ }^{\circ}$ ).
Not drawn accurately Zoom

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Problem 21198

9 Eric is keeping track of rainwater. On Monday, it rained $1 \frac{3}{4} \mathrm{~cm}$ . On Tuesday it rained $2 \frac{1}{8} \mathrm{~cm}$ . How much more did it rain on Tuesday than on Monday?

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Problem 21199

Question 1 25 pts
Find the solutions of $\cos (\theta)+1=0$ when $0 \leq \theta \leq 2 \pi$ . $\theta=\pi$ $\theta=\frac{\pi}{6}$ $\theta=0,2 \pi$ $\theta=\frac{\pi}{2}$ $\theta=\frac{3 \pi}{2}$

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Problem 21200

Listen
Evaluate the function for the given value of $x$ . $\begin{array}{l} y=-9(3)^{x} ; x=-1 \\ y=\square \quad 0_{\varphi} \end{array}$ $\square$

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Solve

Problem 21101

(19) Solve for x:x2−x+3=0x: x^{2}-x+3=0x:x2−x+3=0 (C) x=−32,x=52x=-\frac{3}{2}, x=\frac{5}{2}x=−23​,x=25​ (D) x=x=x=

Problem 21102

Solve the following polynomial using synthetic division. x3+8x2+11x−20=0x=□x=□x=□\begin{array}{l} x^{3}+8 x^{2}+11 x-20=0 \\ x=\square \\ x=\square \\ x=\square \end{array}x3+8x2+11x−20=0x=□x=□x=□​

Problem 21103

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

Problem 21104

3−43-43−4. State the answer as an ordered pair (x,y)(x, y)(x,y), if possible.3. Solve {y=4x−1y=−12x+8\left\{\begin{array}{c}y=4 x-1 \\ y=-\frac{1}{2} x+8\end{array}\right.{y=4x−1y=−21​x+8​ by graphing.

Problem 21105

Solve the following quadratic equation for all values of xxx in simplest form. 6+3x2=186+3 x^{2}=186+3x2=18Answer Attempt 1 out of 2 † Additional Solution No Solution x=x=x= □\square□ Submit Answer

Problem 21106

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.

Problem 21107

Problem 21108

Problem 21109

10. Calculate the value of the following series: ∑k=2∞1(3k+1)(3k+4)\sum_{k=2}^{\infty} \frac{1}{(3 k+1)(3 k+4)}k=2∑∞​(3k+1)(3k+4)1​

Problem 21110

1. Solve each equation. Use a double number line if it is helpful. a. −3x−5=20-3 x-5=20−3x−5=20 −25/3-25 / 3−25/3 b. 45x+2=14\frac{4}{5} x+2=1454​x+2=1415 {3(x−4+13)=36\{3(x-4+13)=36{3(x−4+13)=36

Problem 21111

Solve for hhh. h+3>9h+3>9h+3>9

Problem 21112

Problem 21113

Problem 21114

16. x−123=3\sqrt[3]{x-12}=33x−12​=317. 5x+64−9=0\sqrt[4]{5 x+6}-9=045x+6​−9=018. 1−3x−6=4\sqrt{1-3 x}-6=41−3x​−6=419. 3x23=753 x^{\frac{2}{3}}=753x32​=75

Problem 21115

2. Write each fraction as a decimal. 14=15=\frac{1}{4}=\quad \frac{1}{5}=41​=51​=

Problem 21116

Problem 21117

n, using a calculator if necessary to evaluate the logarithm. Write your answer as a fraction or ro ln⁡(ex)=15.1\ln \left(\mathrm{e}^{\mathrm{x}}\right)=15.1ln(ex)=15.1 w window) x=x=x= □\square□

Problem 21118

2. Beth poured 34\frac{3}{4}43​ cup of cereal in a bowl. Then Beth took 12\frac{1}{2}21​ of that cereal and put it into another bowl. How many cups of cereal are in the second bowl?

Problem 21119

Warm Up Solve the following radical equation for xxx. 82x+3−10=308 \sqrt{2 x+3}-10=3082x+3​−10=30

Problem 21120

5 Résolvez les équations suivantes. a) −5x2+160x−1200=0-5 x^{2}+160 x-1200=0−5x2+160x−1200=0

Problem 21121

Problem 21122

Find the derivative of the function f(x)=(9x6+9x)15 f(x) = (9x^6 + 9x)^{15} f(x)=(9x6+9x)15.

Problem 21123

Problem 21124

This is a multi-part problem. If F(t)=t33+4t2−tF(t)=\frac{t^{3}}{3}+4 t^{2}-tF(t)=3t3​+4t2−t, find F′(t)F^{\prime}(t)F′(t). F′(x′′)=F^{\prime}\left(\frac{x^{\prime}}{\prime}\right)=F′(′x′​)= □\square□ Preview My Answers Submit Answers Show me another

Problem 21125

Determine whether the ordered pair is a solution to the inequality. 5x+6y>305 x+6 y>305x+6y>30 (a) (−1,2)(-1,2)(−1,2) (b) (4,−1)(4,-1)(4,−1) (c) (6,0)(6,0)(6,0)

Problem 21126

Problem 21127

Use properties of rational numbers to multiply the following. −65×3.875-\frac{6}{5} \times 3.875−56​×3.875 A. 10740\frac{107}{40}40107​ B. −245-\frac{24}{5}−524​ C. −9320-\frac{93}{20}−2093​ D. −15548-\frac{155}{48}−48155​

Problem 21128

-3 Quiz The ratio of the measures of the sides of a triangle is 9:7:39: 7: 39:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side.

Problem 21129

Problem 21130

Find the n n n-th term of the sequence: 9,17,27,39 9, 17, 27, 39 9,17,27,39.

Problem 21131

4. If f(x)=ln⁡(ln⁡x)f(x)=\ln (\ln x)f(x)=ln(lnx), then f′(x)=f^{\prime}(x)=f′(x)=

Problem 21132

∫ex−7x5dx=\int \frac{e^{x}-7 x}{5} d x=∫5ex−7x​dx=

Problem 21133

Problem 21134

Problem 21135

The circumference of a circle is 11π m11 \pi \mathrm{~m}11π m. Find its radius, in meters.Answer Attempt 1 out of 2 r=r=r= □\square□ m Submit Answer Copyright C2024 DeltaMathicom All Rights Reserved. Privacy Policy Terms of Service

Problem 21136

Problem 21137

Evaluate. ∫14(5x3+8)dx\int_{1}^{4}\left(5 x^{3}+8\right) d x∫14​(5x3+8)dx

Problem 21138

Find the length of the third side. If necessary, round to the nearest tenth.Answer Attempt 1 out of 2 □\square□ Submit Answer

Problem 21139

Problem 21140

The price of a jumper is reduced by 17%17 \%17% in a sale. The sale price is £62.25£ 62.25£62.25What was the original price of the jumper?

Problem 21141

Make xxx the subject of x−9=rx-9=rx−9=r

Problem 21142

Make xxx the subject of 5x=r5 x=r5x=r

Problem 21143

Find the average value of the function f(x)=x2−3f(x)=x^{2}-3f(x)=x2−3 on [0,3][0,3][0,3]

Problem 21144

In the figure below, find the exact value of yyy. (Do not approximate your answer.) y=y=y= □\square□

Problem 21145

Rearrange g=frg=f rg=fr to make fff the subject.

Problem 21146

Rearrange k=dwk=d wk=dw to make ddd the subject.

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

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

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.

$3-4$ . State the answer as an ordered pair $(x, y)$ , if possible.
3. Solve $\left\{\begin{array}{c}y=4 x-1 \\ y=-\frac{1}{2} x+8\end{array}\right.$ by graphing.

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

10. Calculate the value of the following series: $\sum_{k=2}^{\infty} \frac{1}{(3 k+1)(3 k+4)}$

1. Solve each equation. Use a double number line if it is helpful. a. $-3 x-5=20$ $-25 / 3$ b. $\frac{4}{5} x+2=14$
15 $\{3(x-4+13)=36$

Solve for $h$ . $h+3>9$

16. $\sqrt[3]{x-12}=3$
17. $\sqrt[4]{5 x+6}-9=0$
18. $\sqrt{1-3 x}-6=4$
19. $3 x^{\frac{2}{3}}=75$

2. Write each fraction as a decimal. $\frac{1}{4}=\quad \frac{1}{5}=$

n, using a calculator if necessary to evaluate the logarithm. Write your answer as a fraction or ro $\ln \left(\mathrm{e}^{\mathrm{x}}\right)=15.1$ w window) $x=$ $\square$

2. Beth poured $\frac{3}{4}$ cup of cereal in a bowl. Then Beth took $\frac{1}{2}$ of that cereal and put it into another bowl. How many cups of cereal are in the second bowl?

Warm Up Solve the following radical equation for $x$ . $8 \sqrt{2 x+3}-10=30$

5 Résolvez les équations suivantes. a) $-5 x^{2}+160 x-1200=0$

Find the derivative of the function $f(x) = (9x^6 + 9x)^{15}$ .

This is a multi-part problem. If $F(t)=\frac{t^{3}}{3}+4 t^{2}-t$ , find $F^{\prime}(t)$ . $F^{\prime}\left(\frac{x^{\prime}}{\prime}\right)=$ $\square$ Preview My Answers Submit Answers Show me another

Determine whether the ordered pair is a solution to the inequality. $5 x+6 y>30$ (a) $(-1,2)$ (b) $(4,-1)$ (c) $(6,0)$

Use properties of rational numbers to multiply the following. $-\frac{6}{5} \times 3.875$ A. $\frac{107}{40}$ B. $-\frac{24}{5}$ C. $-\frac{93}{20}$ D. $-\frac{155}{48}$

-3 Quiz The ratio of the measures of the sides of a triangle is $9: 7: 3$ . If the perimeter of the triangle is 266 inches, find the length of the shortest side.

Find the $n$ -th term of the sequence: $9, 17, 27, 39$ .

4. If $f(x)=\ln (\ln x)$ , then $f^{\prime}(x)=$

$\int \frac{e^{x}-7 x}{5} d x=$

The circumference of a circle is $11 \pi \mathrm{~m}$ . Find its radius, in meters.
Answer Attempt 1 out of 2 $r=$ $\square$ m Submit Answer Copyright C2024 DeltaMathicom All Rights Reserved. Privacy Policy Terms of Service

Evaluate. $\int_{1}^{4}\left(5 x^{3}+8\right) d x$

Find the length of the third side. If necessary, round to the nearest tenth.
Answer Attempt 1 out of 2 $\square$ Submit Answer

The price of a jumper is reduced by $17 \%$ in a sale. The sale price is $£ 62.25$
What was the original price of the jumper?

Make $x$ the subject of $x-9=r$

Make $x$ the subject of $5 x=r$

Find the average value of the function $f(x)=x^{2}-3$ on $[0,3]$

In the figure below, find the exact value of $y$ . (Do not approximate your answer.) $y=$ $\square$

Rearrange $g=f r$ to make $f$ the subject.

Rearrange $k=d w$ to make $d$ the subject.

Rearrange $a k-y=c$ to make $k$ the subject.

Make $k$ the subject of $d=\frac{k+m}{2}$

Which of the following is equivalent to $i^{26}$ ? -1 $-i$ 1 i

$x^{2}-2 x-8 \leq 0$

For a confidence level of $98 \%$ with a sample size of 21 , find the critical $t$ -value (also known as the $t$ -score). $\square$ (round to 3 decimal places)

$5 x+3 y=15$

(Español)
Two angles are complementary. The measure of one angle is $9^{\circ}$ more than twice the measure of the other angle. Find the measure of each angle.
Part 1 of 2
The measure of the smaller angle is $\square$ .
Part 2 of 2
The measure of the larger angle is $\square$

Solve by completing the square. $-3 v^{2}+48 v-75=0$
言A Write your answers as integers, proper or improper fractions in simplest form, or cimals rounded to the nearest hundredth. ) [ix $\left.\dot{x}_{A}\right]=$ $\square$ or $v=$ $\square$

Determine the following indefinite integral. $\begin{array}{r} \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x \\ \int\left(\frac{5}{\sqrt{x}}+5 \sqrt{x}\right) d x= \end{array}$

1. $(04.02 \mathrm{LC})$
Solve the following system of equations: (1 point) $\begin{array}{l} x-2 y=14 \\ x+3 y=9 \end{array}$ $(1,12)$ $(-1,-12)$ $(12,-1)$ $(12,1)$

Solve the following equation: $\frac{3}{4} x=60$

12. Let a equal the measure of angle $A$ . The equation $360^{\circ}=a+90^{\circ}+135^{\circ}+75^{\circ}$ represents the sum of the angles in the quadrilateral. Find the missing angle measure by solving the equation.

$\mathrm{V}_{2} \mathrm{O}_{5}+\ldots \mathrm{HCl} \rightarrow \ldots \mathrm{VOCl}_{3}+\ldots \mathrm{H}_{2} \mathrm{O}$

Solve the equation. Simplify the answer as much as possible. $27^{x+5}=9^{2 x+2}$
The solution set is $\square$ \}.

unctions Question 13, 5.4.71
Solve the equation. $10^{5 x}=10000$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $x=$ $\square$ . (Type an integer or a fraction.) B. There is no solution.

14. This year, a rancher counted 225 horses on the range. This count is 22 fewer than last year. How many horses did the rancher count last year? Let $h$ be the number of horses counted last year. Solve $h-22=225$ to find the number of horses counted last year.

$2.6 \times 10^{-5} \frac{\mathrm{~kg}}{\mathrm{~mol} \cdot \mathrm{dL}}=\square \frac{\mathrm{g}}{\mathrm{mol} \cdot \mathrm{L}}$

Using the figure below, find the value of $\int_{2}^{12} f(x) d x$ . $\int_{2}^{12} f(x) d x=$ $\square$

4. In 2021, the approximate population of India was $1.4 \times 10$ people. Spain's population in 2021 was about 4 how many times greater was India's population than Spain's population 0.3