Expression

Problem 3001

Modules Assignments Syllabus |Quizzes
4. $\triangle \mathrm{ABC} \sim \triangle \mathrm{XYZ}$ $\begin{array}{l} \mathrm{X}= \\ \mathrm{y}= \end{array}$

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Problem 3002

These two ratios are equivalent: $15: 6$ and $10: 4$ .
Explain or show how you know they are equivalent.

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Problem 3003

ors Unit 5 Test: Proportional Reasoning
Zoom
11. Chama told the class that her pet cat weighed 48 ounces. How many pounds did her pet cat weigh?
Enter the correct answer in the box. $\square$ pounds

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Problem 3004

Of the students in the band, $3 / 5$ play the flute and another $1 / 5$ play the clarinet. What fraction of the students the band play either the flute or the clarinet?
Write your answer as a fraction or as a whole or mixed number. $\square$ of the students

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Problem 3005

Part D formic acid, $\mathrm{HCO}(\mathrm{OH})$ , which has one H and two O atoms attached to C . Enter your answers numerically separated by a comma. $\sigma-$ bonds, $\pi-$ bonds $=$ $\square$ Submit Previous Answers Request Answer

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Problem 3006

$\frac{c^{3}}{a^{2}}-(c+b)$ where $a=2$ , $b=3$ , $c=12$ , and $d=4$ .

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Problem 3007

22. Kim's class has 16 boys and 8 girls. What fraction of the class is made up of girls? $\frac{1}{3}$ $\frac{1}{4}$ $\frac{1}{2}$ $\frac{2}{3}$ Clear All

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Problem 3008

zearn.org/towers/1783 JPS Resources 器 Sign out M2|L14 Solving Equivalent Ratio Problems
Esther buys 6 sweatshirts for $\$ 18$ . What is the cost of 1 sweatshirt? First set up a double number line to show how much Esther pays for 6 sweatshirts.
Sweatshirts 6 $\xrightarrow{\mapsto}$
Dollars

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Problem 3009

b. To factor with tiles (like you did in part (a)), you need to determine how to arrange the tiles to form a rectangle. Using a generic rectangle to factor requires a different process.
Miguel wants to use a generic rectangle to factor $3 x^{2}+10 x+8$ . He knows that $3 x^{2}$ and 8 go into the rectangle in the locations shown at right. Finish the rectangle by deciding how to place the ten $x$ -terms. Then write the area as a product. \begin{tabular}{|l|l|} \hline & 8 \\ \hline $3 x^{2}$ & \\ \hline \end{tabular}

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Problem 3010

Convert the improper fraction $\frac{29}{3}$ to a mixed number.

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Problem 3011

Use the binomial theorem to expand the expression $(6-\sqrt{t})^{4}$ . $1-4 \sqrt{t}+6 t-4 t \sqrt{t}+t^{2}$ $1296-t^{2}$ $1296-216 \sqrt{t}+36 t-6 t \sqrt{t}+t^{2}$ $1296-864 \sqrt{t}+216 t-24 t \sqrt{t}+t^{2}$

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Problem 3012

Simplify. Assume $s$ is greater than or equal to zero, and write your answer in simplest form. $(\sqrt{35 s})^{2}$ $\square$ Submit

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Problem 3013

$7 \frac{1}{4}-3 \frac{5}{8}$

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Problem 3014

What is $270^{\circ}$ converted to radians? $\frac{\pi}{6}$ $\frac{3}{2}$ $\frac{3 \pi}{2}$ 3

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Problem 3015

You ha
Multiply. Write your answer in simplest form. $4 \sqrt{15} \cdot 2 \sqrt{14}$ $\square$ Submit

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Problem 3016

$(35)(22)$

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Problem 3017

Calculate the energy required to heat 368.0 g of aluminum from $0.3^{\circ} \mathrm{C}$ to $18.5^{\circ} \mathrm{C}$ . Assume the specific heat capacity of aluminum under these conditions is $0.903 \mathrm{~J} \cdot \mathrm{~g}^{-1} \cdot \mathrm{~K}^{-1}$ . Be sure your answer has the correct number of significant digits.

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Problem 3018

c. Kelly wants to find a shortcut to factor $2 x^{2}+7 x+6$ . She knows that $2 x^{2}$ and 6 go into the rectangle in the locations shown at right. She also remembers Casey's pattern for diagonals. Without actually factoring yet, what do you know about the missing two parts of the generic rectangle? product sum e. Use your results from the Diamond Problem to complete the generic rectangle for $2 x^{2}+7 x+6$ , and then write the area as a product of factors.

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Problem 3019

Question
Express in simplest radical form. $\sqrt{64}$

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Problem 3020

6. $(5 x+2)(4 x+4)$

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Problem 3021

Write an.equivalent expression. $\frac{4}{9}-\frac{1}{5} \cdot x$
Choose the correct answer below. A. $\frac{4}{9}-\frac{1}{5} \cdot x=-\frac{1}{5} x+\frac{4}{9}$ B. $\frac{4}{9}-\frac{1}{5} \cdot x=-\frac{1}{5}\left(\frac{4}{9}-x\right)$ C. $\frac{4}{9}-\frac{1}{5} \cdot x=x\left(\frac{4}{9}-\frac{1}{5}\right)$ D. $\frac{4}{9}-\frac{1}{5} \cdot x=\frac{1}{5} x-\frac{4}{9}$

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Problem 3022

4 Use substitution to solve if $d=5.5$ $4.5+\left(d^{2}+45\right)-d$

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Problem 3023

xpress in simplest radical form. $\sqrt{150}$

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Problem 3024

Non-Calculator Q1. Express $4 x^{2}-12 x+14$ in the form $a(x+b)^{2}+c$

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Problem 3025

Factor the trinomial completely. $x^{9}-8 x^{8}-48 x^{7}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $x^{9}-8 x^{8}-48 x^{7}=$ $\square$ (Factor completely.) B. The polynomial is prime.

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Problem 3026

Simplify to a single power of 6: $\frac{6^{5}}{6^{3}}$
Answer Attempt 2 out of 2 $\square$ Answer: 6 Submit Answer

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Problem 3027

*. Calculati: a) $\cdot 2^{72}:\left(2^{3} \cdot 2^{70}\right)+103 \cdot(2+2700)=$ b). $2^{3}+2^{10}: 2^{8} \cdot 2+2 \cdot 2^{7}: 2^{5}+2^{10}:\left(3 \cdot 2^{5}+2^{5}\right)$ 9). $3^{87}:\left(3^{3} \cdot 3^{4}\right)^{5}+7 \cdot(352-350: 2)=$ d). $\left[2^{7} \cdot 2^{10}+5^{201}: 5^{106}-3 \cdot\left(3^{2}\right)^{5}\right]:\left(2^{17}+5^{95}-3^{11}\right)=$ e). $\left[2^{48}: 2^{18}+\left(3^{4}\right)^{5}+6^{23}: 6^{13}\right]:\left[2^{10} \cdot 3^{10}+2^{17} \cdot 2^{13}+\left(3^{5}\right)^{4}\right]=$ f). $10 \cdot\left\{18^{2}: 324+2 \cdot\left[\left(2^{2} \cdot 3\right)^{15}:\left(2^{29} \cdot 3^{15}\right)+1^{2017}\right]\right\}=$ g). $3^{100}:\left[3^{40} \cdot 3^{58}+\left(3^{10} \cdot 3^{15}\right)^{5}: 3^{27}+\left(4^{57}: 4^{56}-1\right)^{90} \cdot 3^{8}\right]=$ h). $\left(10.000-1^{4}\right) \cdot\left(10.000-2^{4}\right) \cdot \ldots \cdot\left(10.000-11^{4}\right)=$ 1). $2^{3}+\left[\left(2^{3}\right)^{7}-\left(2^{7}\right)^{3}+3 \cdot 3^{4}-81\right]:\left\{3^{2} \cdot[301-10 \cdot(24+2: 2-3-3)\}\right.$

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Problem 3028

4. Which of the following expressions is equivalent to $(x+7)\left(x^{2}-3 x+2\right) ?$ A. $x^{3}-3 x^{2}+2 x+14$ B. $x^{3}+4 x^{2}-19 x+14$ C. $x^{3}-3 x+14$ D. $x^{2}-2 x+9$

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Problem 3029

Factor the trinomial completely. If the trinomial contains a greatest common factor (other than 1), factor out the GCF first. $126-32 m+2 m^{2}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $126-32 m+2 m^{2}=$ $\square$ (Factor completely.) B. The polynomial is prime.

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Problem 3030

$\frac{d^{4}}{d^{7} \cdot d^{7}}$

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Problem 3031

Simplify to a single power of 4: $\frac{4^{7}}{4^{6}}$
Answer Attempt 1 out of 2
Answer: 4 $\square$ Submit Answer

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Problem 3032

Write the expression as a fraction with a positive exponent. $m^{-6}$

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Problem 3033

$\left(q^{-7}\right)^{7}$

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Problem 3034

$\left(a^{7}\right)^{5}$

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Problem 3035

Which expression is equivalent to $2^{-2} \cdot 2^{-2}$ ?
Answer $4^{4}$ $4^{-4}$ $2^{-4}$ $2^{4}$

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Problem 3036

6. $(y-4 z)^{4}$

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Problem 3037

makes an angle $\theta$ with the horizontal, as shown in the figure.
If the magnitude of the force and the distance are kept constant, but the angle $\theta$ is increased toward $90^{\circ}$ , then the work done by the force in dragging the box remains the same. increases. decreases. either increases or decreases, depending on the magnitude of $F$ . either increases or decreases, depending on the initial angle $\theta$ .

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Problem 3038

Evaluate the expression. $(-2 \times-15-5) \div(-9+-16)$

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Problem 3039

5. If $\sin \theta=\frac{-3}{5}$ and $\cos \theta<0$ , determine the following: A. $\sin 2 \theta$ B. $\cos 2 \theta$

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Problem 3040

$\frac{k^{40}}{k^{-1} \cdot k^{4}}$

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Problem 3041

$\frac{m^{86}}{m^{94} \cdot m^{95}}$

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Problem 3042

At the Planetarium, tickets cost $\$ 13.50$ for adults and $\$ 5.50$ for kids under 12. How many total tickets would someone get if they purchased 4 adult tickets and 14 kids tickets? How many total tickets would someone get if they purchased $a$ adult tickets and $k$ kids tickets?
Answer Attempt 1 out of 2
Total tickets, 4 adult tickets and 14 kids tickets: $\square$ Total tickets, $a$ adult tickets and $k$ kids tickets: $\square$

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Problem 3043

ค. $\int_{0}^{6} \sin 2 x \cos 4 x d x 9$

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Problem 3044

If p units of an item are sold for q dollars per unit, the revenue is $\mathrm{R}=\mathrm{pq}$ . Use this idea to analyze the following problem, working Exercises 57-60 in order.
The manager of an 100 -unit apartment complex knows from experience that at a rent of $\$ 300$ , all the units will be full. On the average, one additional unit will remain vacant for each $\$ 20$ increase in rent over $\$ 300$ . Furthermore, the manager must keep at least 40 units rented due to other financial considerations. Currently, the revenue from the complex is $\$ 56,000$ . How many apartments are rented?
57. Suppose that $x$ represents the number of $\$ 20$ increases over $\$ 300$ . Represent the number of apartment units that will be rented in terms of $x$ . $\square$ (Simplify your answer.)

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Problem 3045

simpflit m - $4 m^{2}-13 m+10$

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Problem 3046

Illustrative Mathematios
3. Select all of the true statements. A. $\pi$ is the area of a circle of radius 1 . B. $\pi$ is the area of a circle of diameter 1 . C. $\pi$ is the circumference of a circle of radius 1 . D. $\pi$ is the circumference of a circle of diameter 1 . E. $\pi$ is the constant of proportionality relating the diameter of a circle to its circumference. F. $\pi$ is the constant of proportionality relating the radius of a circle to its area.

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Problem 3047

Simplify. Express your answer using positive exponents. $\frac{g^{-1} \cdot g^{0}}{g^{0}}$

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Problem 3048

$\frac{r^{-3} \cdot r^{87}}{r^{-18}}$

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Problem 3049

$\frac{u^{-6} \cdot u}{u^{-93}}$

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Problem 3050

1. (a) (i) Simplify $\frac{16 x^{2} 9 y^{2}}{(4 x-3 y)^{2}} ; 4 x \neq 3 y$ (i) if $x=2$ , and $y=1$ , solve for (i) in (a) above (b) Factorize completely; $\mathrm{Spq}-7 \mathrm{rs}+5 \mathrm{ps}-7 \mathrm{rq}$

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Problem 3051

For problems $7-10$ , subtract.
7. $-\frac{1}{4}-\frac{3}{4}$
8. $\frac{3}{8}-\left(-\frac{7}{8}\right)$
9. $-\frac{3}{5}-\left(-\frac{4}{5}\right)$
10. $-\frac{5}{6}-\left(-\frac{1}{6}\right)$

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Problem 3052

Divide. If the polynomial does not divide e $\left(53 t^{2}-177 t+27\right) \div(t-3)$

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Problem 3053

Divide. If the polynomial does not givide e $\left(-y^{2}-5 y-3\right) \div(y+4)$

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Problem 3054

$(9 j+6)-(8 j+1)$

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Problem 3055

$(7 b+1)+(4 b+6)$

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Problem 3056

$\left(5 g^{2}+7 g+7\right)-\left(4 g^{2}+7\right)$

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Problem 3057

$\left(7 m^{2}+9 m+2\right)+(8 m+2)$

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Problem 3058

$(3 k+9)-(k+4)$

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Problem 3059

Divide. If the polynomial does not divide evenly, incl $\left(12 v^{4}-135 v^{3}+153 v^{2}-33 v+25\right) \div(v-10)$

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Problem 3060

$(9 t+2)+\left(4 t^{2}+9\right)$

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Problem 3061

$\left(9 r^{2}+r+6\right)-\left(r^{2}+1\right)$

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Problem 3062

$\left(5 k^{3}+8 k^{2}+1\right)+(8 k+1)$

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Problem 3063

$\left(8 s^{2}+3 s+2\right)+\left(5 s^{2}+7 s\right)$

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Problem 3064

$\cot \left[\sin ^{-1} \frac{5}{8}\right]$

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Problem 3065

$\left(-n^{2}+5 n+3\right)+\left(-8 n^{3}+4 n^{2}-6 n+5\right)$

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Problem 3066

1) 5. Divide the polynomial x³-3x²-22x-21 by x+3 using Long Division and Synthetic Division. State your answer in the form of P(x) = D(x)Q(x) + R(x) Long Div. -6x-4 3√x³-3x²-22x-21 ii) Synthetic Div. -3 -22 -21 -3 18 12 -b -4 X73 ✓ +3=3X2 18x-22x 12-21 P(X)=(x+3) (1x²-6x-4)-a Ra mainder is 13. What

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Problem 3067

$\left(7 w^{3}\right)(-3 w)$

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Problem 3068

Find the product. Simplify your answer. $3 m\left(m^{2}+2\right)$ $\square$

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Problem 3069

Directions: Write a variable expression for each verbal expression.
7 minus $t$ the product of 9 and $p$ $\qquad$ the quotient of 2 and $b$ $\qquad$ $\qquad$ 4. $\qquad$ $k$ times 10 (6.) $y$ less than 6 $\qquad$ 11 more than $j$

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Problem 3070

Find the square. Simplify your answer. $(4 z-4)^{2}$

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Problem 3071

Divide using synthetic division. $\left(x^{4}-6 x^{2}-29\right) \div(x+2)$
The quotient is $\square$ and the remainder is $\square$ . (Simplify your ansivers. Do not factor.)

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Problem 3072

$(2 s+2)(3 s+1)$

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Problem 3073

Select the expression that is equivalent to $\frac{1}{7 x^{-\frac{2}{5}}}$
Answer $\sqrt[5]{7 x^{2}}$ $\frac{\sqrt[5]{x^{2}}}{7}$ $\frac{\sqrt{x^{5}}}{7}$ $\sqrt{7 x^{5}}$

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Problem 3074

$(3 b+3)(4 b+1)$

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Problem 3075

Select the expression that is equivalent to $\frac{1}{7 x^{-\frac{1}{5}}}$
Answer $\sqrt[5]{7 x}$ $\frac{\sqrt{x^{5}}}{7}$ $\frac{\sqrt[5]{x}}{7}$ $\sqrt{7 x^{5}}$

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Problem 3076

Select the expression that is equivalent to $\frac{1}{\left(3 x^{2}-4\right)^{\frac{1}{4}}}$
Answer $\frac{1}{\sqrt[4]{3 x^{2}-4}}$ $\sqrt{\left(3 x^{2}-4\right)^{4}}$ $\frac{1}{\sqrt{\left(3 x^{2}-4\right)^{4}}}$ $\sqrt[4]{3 x^{2}-4}$

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Problem 3077

Rewrite as a sum of logarithms using the Product Rule of Logarithms. $\log _{2}(8 x)$

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Problem 3078

Select the expression that is equivalent to $\frac{1}{\left(x^{2}-1\right)^{-\frac{5}{2}}}$
Answer $\frac{1}{\sqrt[5]{\left(x^{2}-1\right)^{2}}}$ $\sqrt[5]{\left(x^{2}-1\right)^{2}}$ $\frac{1}{\sqrt{\left(x^{2}-1\right)^{5}}}$ $\sqrt{\left(x^{2}-1\right)^{5}}$

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Problem 3079

Which expression is equivalent to $-8(10 x-3)$ ? (A) $-80 x-3$ (B) $-80 x-24$ (C) $-80 x+3$ (D) $-80 x+24$

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Problem 3080

Find the square. Simplify your answer. $(4 h+3)^{2}$

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Problem 3081

Simplify $11-4 y-6$

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Problem 3082

Rewrite the number In standard notation. $9.999 \times 10^{6}=$

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Problem 3083

$\lim _{x \rightarrow 0} \frac{5 x^{3}+8 x^{2}}{3 x^{4}-16 x^{2}}$

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Problem 3084

Working with Radicals Complete the table below. Each expression should be written in radical notation, written with rational exponents and evaluated using the calculator. The first one is done for you. \begin{tabular}{|c|c|c|} \hline Written in radical notation & Written using rational exponents & Evaluated to two decimal places \\ \hline $\sqrt{2}$ & , $2^{\frac{1}{2}}$ & 1.41 \\ \hline $\sqrt[7]{3^{8}}$ & $\square$ & - \\ \hline $\sqrt[4]{29^{3}}$ & $\square$ & \\ \hline & $23^{\frac{6}{5}}$ & \\ \hline & $14^{\frac{2}{3}}$ & \\ \hline \end{tabular}

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Problem 3085

5. Stretch Your Thinking Write a real world division problem using 5 as the divisor. Then solve your problem. $\qquad$ $\qquad$ $\qquad$

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Problem 3086

Solve the triangle. $a=3, b=13, c=12$ $A=$ ${ }^{\circ}$ $\square$ (Do not round until the final answer. Then round to the nearest degree as needed.) $B=$ $\square$ ${ }^{\circ}$ (Do not round until the final answer. Then round to the nearest degree as needed.) $C=$ $\square$ ${ }^{\circ}$ (Do not round until the final answer. Then round to the nearest degree as needed.)

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Problem 3087

Divide. $\left(8 x^{3}+22 x^{2}+13 x+18\right) \div(2 x+5)$
Your answer should give the quotient and the remainder.
Quotient: $\square$
Remainder: $\square$

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Problem 3088

e simplified form of $\frac{2 x-14}{x^{2}-3 x-28}$ ? State any excluded values

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Problem 3089

Simplify the rational expression. Find all numbers tha the original expression. $\frac{x^{2}-12 x+36}{5 x-30}$

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Problem 3090

Divide as indicated $\frac{y^{2}+5 y+6}{y^{2}+7 y+12} \div \frac{y^{2}-10 y+16}{y^{2}+2 y-8}$

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Problem 3091

Simplify the following expression. State any excluded values $\frac{3 t^{2}-11 t+6}{3 t^{2}-14 t+15}$

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Problem 3092

Rewrite the expression without using a negative exponent. $\frac{1}{6 x^{-5}}$
Simplify your answer as much as possible.

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Problem 3093

Reduce the rational expression to lowest terms. Identify all numbers that $\frac{4 t-20}{t^{2}-25}$

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Problem 3094

Multiply $\frac{2}{5 t} \cdot \frac{4}{t^{5}}$

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Problem 3095

In a sample of 800 U.S. adults, 210 think that most celebrities are good role models. Two U.S. adults are selected from this sample without replacement. Complete parts (a) through (c). (a) Find the probability that both adults think most celebrities are good role models.
The probability that both adults think most celebrities are good role models is 0.069 . (Round to three decimal places as needed.) (b) Find the probability that neither adult thinks most celebrities are good role models.
The probability that neither adult thinks most celebrities are good role models is 0.544 (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults thinks most celebrities are good role models.
The probability that at least one of the two adults thinks most celebrities are good role models is 0.456 .

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Problem 3096

9 Multiple Choice 1 point
Simplify the exponential expression. $\left(\frac{-24 x^{5} y^{7}}{8 x^{11} y^{-2}}\right)^{3}$ $\frac{-27 y^{27}}{x^{18}}$ $\frac{-27}{x^{18} y^{27}}$ $\frac{27 y^{27}}{x^{18}}$ $\frac{-27 y^{15}}{x^{18}}$ Clear my selection

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Problem 3097

*) The Comer Deli sells a variety of sandwiches at different prices. This week all sandwiches are discounted at $\$ 1.50$ off the regular price. The expression $p-1.5$ represents the price of a sandwich after the discount.
Complete each statement to describe the terms. The variable, $p$ , represents the regular price of $\square$ a sandwich.
The constant, 1.5 , represents the $\square$ discount on a sandwich.
Which expression can you use to find the total price of three sandwiches after the discount? $\square$ $p+4.5$ $3(p-1.5)$ $3(p+1.5)$ $3 p-1.5$

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Problem 3098

c) $\frac{\sqrt{28} \sqrt{4}}{\sqrt{7}}$

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Problem 3099

\begin{tabular}{|l|l|} \hline Data point $x$ & Distance from the mean Squared $|x-\mu|^{\wedge} 2$ \\ \hline 6 & Example: $|6-8|^{\wedge} 2=|-2|^{\wedge} 2=2^{\wedge} 2=4$ \\ \hline 13 & Answer: Blank 2 \\ \hline 8 & Answer: Blank 3 \\ \hline \end{tabular}
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
Hello! It seems like there is a table showing data points and the squared distance of each point from the mean. To help you solve this, I would need the mean of the data set or the missing calculations in the table. Could you please provide the mean of the data points or let me know which calculations you need help with? Once I have that information, I can help you fill in the blanks in the table. 6, 5, 13, 8

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Problem 3100

Find the area of the region indicated in blue. Area $=$ $\square$ sq-units
Report answer accurate to 3 decimal places.

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1 ...28 29 30 31 32 33 34 ...144

Expression

Problem 3001

Modules Assignments Syllabus |Quizzes4. △ABC∼△XYZ\triangle \mathrm{ABC} \sim \triangle \mathrm{XYZ}△ABC∼△XYZ X=y=\begin{array}{l} \mathrm{X}= \\ \mathrm{y}= \end{array}X=y=​

Problem 3002

These two ratios are equivalent: 15:615: 615:6 and 10:410: 410:4.Explain or show how you know they are equivalent.

Problem 3003

ors Unit 5 Test: Proportional ReasoningZoom11. Chama told the class that her pet cat weighed 48 ounces. How many pounds did her pet cat weigh?Enter the correct answer in the box. □\square□ pounds

Problem 3004

Of the students in the band, 3/53 / 53/5 play the flute and another 1/51 / 51/5 play the clarinet. What fraction of the students the band play either the flute or the clarinet?Write your answer as a fraction or as a whole or mixed number. □\square□ of the students

Problem 3005

Part D formic acid, HCO(OH)\mathrm{HCO}(\mathrm{OH})HCO(OH), which has one H and two O atoms attached to C . Enter your answers numerically separated by a comma. σ−\sigma-σ− bonds, π−\pi-π− bonds === □\square□ Submit Previous Answers Request Answer

Problem 3006

c3a2−(c+b)\frac{c^{3}}{a^{2}}-(c+b)a2c3​−(c+b) where a=2a=2a=2, b=3b=3b=3, c=12c=12c=12, and d=4d=4d=4.

Problem 3007

22. Kim's class has 16 boys and 8 girls. What fraction of the class is made up of girls? 13\frac{1}{3}31​ 14\frac{1}{4}41​ 12\frac{1}{2}21​ 23\frac{2}{3}32​ Clear All

Problem 3008

Problem 3009

Problem 3010

Convert the improper fraction 293\frac{29}{3}329​ to a mixed number.

Problem 3011

Problem 3012

Simplify. Assume sss is greater than or equal to zero, and write your answer in simplest form. (35s)2(\sqrt{35 s})^{2}(35s​)2 □\square□ Submit

Problem 3013

714−3587 \frac{1}{4}-3 \frac{5}{8}741​−385​

Problem 3014

What is 270∘270^{\circ}270∘ converted to radians? π6\frac{\pi}{6}6π​ 32\frac{3}{2}23​ 3π2\frac{3 \pi}{2}23π​ 3

Problem 3015

You haMultiply. Write your answer in simplest form. 415⋅2144 \sqrt{15} \cdot 2 \sqrt{14}415​⋅214​ □\square□ Submit

Problem 3016

(35)(22)(35)(22)(35)(22)

Problem 3017

Problem 3018

Problem 3019

QuestionExpress in simplest radical form. 64\sqrt{64}64​

Problem 3020

6. (5x+2)(4x+4)(5 x+2)(4 x+4)(5x+2)(4x+4)

Problem 3021

Problem 3022

4 Use substitution to solve if d=5.5d=5.5d=5.5 4.5+(d2+45)−d4.5+\left(d^{2}+45\right)-d4.5+(d2+45)−d

Problem 3023

xpress in simplest radical form. 150\sqrt{150}150​

Problem 3024

Non-Calculator Q1. Express 4x2−12x+144 x^{2}-12 x+144x2−12x+14 in the form a(x+b)2+ca(x+b)^{2}+ca(x+b)2+c

Problem 3025

Problem 3026

Simplify to a single power of 6: 6563\frac{6^{5}}{6^{3}}6365​Answer Attempt 2 out of 2 □\square□ Answer: 6 Submit Answer

Problem 3027

Problem 3028

4. Which of the following expressions is equivalent to (x+7)(x2−3x+2)?(x+7)\left(x^{2}-3 x+2\right) ?(x+7)(x2−3x+2)? A. x3−3x2+2x+14x^{3}-3 x^{2}+2 x+14x3−3x2+2x+14 B. x3+4x2−19x+14x^{3}+4 x^{2}-19 x+14x3+4x2−19x+14 C. x3−3x+14x^{3}-3 x+14x3−3x+14 D. x2−2x+9x^{2}-2 x+9x2−2x+9

Problem 3029

Problem 3030

d4d7⋅d7\frac{d^{4}}{d^{7} \cdot d^{7}}d7⋅d7d4​

Problem 3031

Simplify to a single power of 4: 4746\frac{4^{7}}{4^{6}}4647​Answer Attempt 1 out of 2Answer: 4 □\square□ Submit Answer

Problem 3032

Write the expression as a fraction with a positive exponent. m−6m^{-6}m−6

Problem 3033

(q−7)7\left(q^{-7}\right)^{7}(q−7)7

Problem 3034

(a7)5\left(a^{7}\right)^{5}(a7)5

Problem 3035

Which expression is equivalent to 2−2⋅2−22^{-2} \cdot 2^{-2}2−2⋅2−2 ?Answer 444^{4}44 4−44^{-4}4−4 2−42^{-4}2−4 242^{4}24

Problem 3036

6. (y−4z)4(y-4 z)^{4}(y−4z)4

Problem 3037

Problem 3038

Evaluate the expression. (−2×−15−5)÷(−9+−16)(-2 \times-15-5) \div(-9+-16)(−2×−15−5)÷(−9+−16)

Problem 3039

5. If sin⁡θ=−35\sin \theta=\frac{-3}{5}sinθ=5−3​ and cos⁡θ<0\cos \theta<0cosθ<0, determine the following: A. sin⁡2θ\sin 2 \thetasin2θ B. cos⁡2θ\cos 2 \thetacos2θ

Problem 3040

k40k−1⋅k4\frac{k^{40}}{k^{-1} \cdot k^{4}}k−1⋅k4k40​

Problem 3041

m86m94⋅m95\frac{m^{86}}{m^{94} \cdot m^{95}}m94⋅m95m86​

Problem 3042

Problem 3043

ค. ∫06sin⁡2xcos⁡4xdx9\int_{0}^{6} \sin 2 x \cos 4 x d x 9∫06​sin2xcos4xdx9

Problem 3044

Problem 3045

simpflit m - 4m2−13m+104 m^{2}-13 m+104m2−13m+10

Problem 3046

Modules Assignments Syllabus |Quizzes
4. $\triangle \mathrm{ABC} \sim \triangle \mathrm{XYZ}$ $\begin{array}{l} \mathrm{X}= \\ \mathrm{y}= \end{array}$

These two ratios are equivalent: $15: 6$ and $10: 4$ .
Explain or show how you know they are equivalent.

ors Unit 5 Test: Proportional Reasoning
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11. Chama told the class that her pet cat weighed 48 ounces. How many pounds did her pet cat weigh?
Enter the correct answer in the box. $\square$ pounds

Of the students in the band, $3 / 5$ play the flute and another $1 / 5$ play the clarinet. What fraction of the students the band play either the flute or the clarinet?
Write your answer as a fraction or as a whole or mixed number. $\square$ of the students

Part D formic acid, $\mathrm{HCO}(\mathrm{OH})$ , which has one H and two O atoms attached to C . Enter your answers numerically separated by a comma. $\sigma-$ bonds, $\pi-$ bonds $=$ $\square$ Submit Previous Answers Request Answer

$\frac{c^{3}}{a^{2}}-(c+b)$ where $a=2$ , $b=3$ , $c=12$ , and $d=4$ .

22. Kim's class has 16 boys and 8 girls. What fraction of the class is made up of girls? $\frac{1}{3}$ $\frac{1}{4}$ $\frac{1}{2}$ $\frac{2}{3}$ Clear All

Convert the improper fraction $\frac{29}{3}$ to a mixed number.

Simplify. Assume $s$ is greater than or equal to zero, and write your answer in simplest form. $(\sqrt{35 s})^{2}$ $\square$ Submit

$7 \frac{1}{4}-3 \frac{5}{8}$

What is $270^{\circ}$ converted to radians? $\frac{\pi}{6}$ $\frac{3}{2}$ $\frac{3 \pi}{2}$ 3

You ha
Multiply. Write your answer in simplest form. $4 \sqrt{15} \cdot 2 \sqrt{14}$ $\square$ Submit

$(35)(22)$

Question
Express in simplest radical form. $\sqrt{64}$

6. $(5 x+2)(4 x+4)$

4 Use substitution to solve if $d=5.5$ $4.5+\left(d^{2}+45\right)-d$

xpress in simplest radical form. $\sqrt{150}$

Non-Calculator Q1. Express $4 x^{2}-12 x+14$ in the form $a(x+b)^{2}+c$

Simplify to a single power of 6: $\frac{6^{5}}{6^{3}}$
Answer Attempt 2 out of 2 $\square$ Answer: 6 Submit Answer

4. Which of the following expressions is equivalent to $(x+7)\left(x^{2}-3 x+2\right) ?$ A. $x^{3}-3 x^{2}+2 x+14$ B. $x^{3}+4 x^{2}-19 x+14$ C. $x^{3}-3 x+14$ D. $x^{2}-2 x+9$

$\frac{d^{4}}{d^{7} \cdot d^{7}}$

Simplify to a single power of 4: $\frac{4^{7}}{4^{6}}$
Answer Attempt 1 out of 2
Answer: 4 $\square$ Submit Answer

Write the expression as a fraction with a positive exponent. $m^{-6}$

$\left(q^{-7}\right)^{7}$

$\left(a^{7}\right)^{5}$

Which expression is equivalent to $2^{-2} \cdot 2^{-2}$ ?
Answer $4^{4}$ $4^{-4}$ $2^{-4}$ $2^{4}$

6. $(y-4 z)^{4}$

Evaluate the expression. $(-2 \times-15-5) \div(-9+-16)$

5. If $\sin \theta=\frac{-3}{5}$ and $\cos \theta<0$ , determine the following: A. $\sin 2 \theta$ B. $\cos 2 \theta$

$\frac{k^{40}}{k^{-1} \cdot k^{4}}$

$\frac{m^{86}}{m^{94} \cdot m^{95}}$

ค. $\int_{0}^{6} \sin 2 x \cos 4 x d x 9$

simpflit m - $4 m^{2}-13 m+10$

Simplify. Express your answer using positive exponents. $\frac{g^{-1} \cdot g^{0}}{g^{0}}$

$\frac{r^{-3} \cdot r^{87}}{r^{-18}}$

$\frac{u^{-6} \cdot u}{u^{-93}}$

Divide. If the polynomial does not divide e $\left(53 t^{2}-177 t+27\right) \div(t-3)$

Divide. If the polynomial does not givide e $\left(-y^{2}-5 y-3\right) \div(y+4)$

$(9 j+6)-(8 j+1)$

$(7 b+1)+(4 b+6)$

$\left(5 g^{2}+7 g+7\right)-\left(4 g^{2}+7\right)$

$\left(7 m^{2}+9 m+2\right)+(8 m+2)$

$(3 k+9)-(k+4)$

Divide. If the polynomial does not divide evenly, incl $\left(12 v^{4}-135 v^{3}+153 v^{2}-33 v+25\right) \div(v-10)$

$(9 t+2)+\left(4 t^{2}+9\right)$

$\left(9 r^{2}+r+6\right)-\left(r^{2}+1\right)$

$\left(5 k^{3}+8 k^{2}+1\right)+(8 k+1)$

$\left(8 s^{2}+3 s+2\right)+\left(5 s^{2}+7 s\right)$

$\cot \left[\sin ^{-1} \frac{5}{8}\right]$

$\left(-n^{2}+5 n+3\right)+\left(-8 n^{3}+4 n^{2}-6 n+5\right)$

$\left(7 w^{3}\right)(-3 w)$

Find the product. Simplify your answer. $3 m\left(m^{2}+2\right)$ $\square$

Directions: Write a variable expression for each verbal expression.
7 minus $t$ the product of 9 and $p$ $\qquad$ the quotient of 2 and $b$ $\qquad$ $\qquad$ 4. $\qquad$ $k$ times 10 (6.) $y$ less than 6 $\qquad$ 11 more than $j$

Find the square. Simplify your answer. $(4 z-4)^{2}$

Divide using synthetic division. $\left(x^{4}-6 x^{2}-29\right) \div(x+2)$
The quotient is $\square$ and the remainder is $\square$ . (Simplify your ansivers. Do not factor.)

$(2 s+2)(3 s+1)$

Select the expression that is equivalent to $\frac{1}{7 x^{-\frac{2}{5}}}$
Answer $\sqrt[5]{7 x^{2}}$ $\frac{\sqrt[5]{x^{2}}}{7}$ $\frac{\sqrt{x^{5}}}{7}$ $\sqrt{7 x^{5}}$

$(3 b+3)(4 b+1)$