Expression

Problem 7901

Бодлого 12. Хэрэв $\log _{2} 5=x, \log _{2} 3=y$ бол $\log _{30} 54$ логарифмыг $x, y$ -ээр илэрхийл-的 IY: A) $\frac{3 y+1}{1+y+x}$ B) $\frac{3 y-1}{1+y-x}$ C) $\frac{y+1}{y+x}$ D) $\frac{y}{1+x}$

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Problem 7902

Бодлого 13. Хэрэв $\log _{5} 3=a, \log _{5} 2=b$ бол $\log _{54} 60$ логарифмыт $a, b$ -ээр илэрхийлннэ IF. A) $\frac{2 b+a+1}{3 a+b}$ B) $\frac{3 a-b}{2 a+b+1}$ C) $\frac{3 a+b}{2 a+b}$ D) $\frac{a+b}{2 a+3 b+1}$

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Problem 7903

What is the capacity of a rectangular clarifier that is 20 feet wide, 75 feet long and 15 feet deep?

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Problem 7904

Subtract. $(14+i)-(-1+4 i)$

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Problem 7905

$\pi r^{2} \quad r=2-5$

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Problem 7906

Factor the expression $2m^2 + m - 1$ .

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Problem 7907

Approximate the number using a calculator. $3^{2.8}$ $3^{2.8} \approx$ $\square$ (Round to three decimal places.)

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Problem 7908

Use the definition of the common logarithm to simplify. $10^{\log (21)}=$ $\square$ Enter an integer or decimal number [more.]

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Problem 7909

$\sin \frac{\pi}{3} \cos \frac{\pi}{6}+\cos \frac{\pi}{3} \sin \frac{\pi}{6}$

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Problem 7910

10. There are a number of blue marbles and a number of green marbles in a bag. Nirmala is told that the odds against selecting a blue marble from the bag are 4:7. Which of the following describes the number of blue marbles in the bag? A. 4 B. 7 C. 11

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Problem 7911

Use properties of logarithms to express each logarithm as a sum or difference logarithms. Assume that all variables represent positive real numbers. $\frac{\log _{3} \frac{\sqrt[4]{x} \cdot \sqrt[5]{y}}{r^{4}}}{\log _{3} \frac{\sqrt[4]{x} \cdot \sqrt[5]{y}}{r^{4}}=\square}$ $\square$

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Problem 7912

Write the following using the log base change rule, and change to either log base 10 (write log) or log base e (write it as In) $\log _{2}(7)$

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Problem 7913

ills Check Quiz (Integrated Question 1 of 17 This question $1 \leftarrow$
Use properties of rational exponents to simplify the expression. Assume that all variables represent positive numbers. $\begin{array}{l} \frac{x^{1 / 5}}{x^{2 / 5}} \\ \frac{x^{1 / 5}}{x^{2 / 5}}= \end{array}$ $\square$ (Use positive exponents only.)

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Problem 7914

Rewrite the expression with rational exponents. $\sqrt[3]{9}$

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Problem 7915

Question 4
A factor of $x^{3}+12 x^{2}+41 x+42$ is $x-3$ $x+3$ $x-2$ $x-7$

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Problem 7916

Simplify the expression. $\left(\frac{1}{16}\right)^{1 / 2}$ $\left(\frac{1}{16}\right)^{1 / 2}=$ $\square$ (Type an integer or a simplified fraction.)

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Problem 7917

4 Skills Check Quiz (Integrated Question 8 of 1
Perform the addition. $\begin{array}{l} \frac{x-5}{x+4}+\frac{x+4}{x-5} \\ \frac{x-5}{x+4}+\frac{x+4}{x-5}= \end{array}$ $\square$ (Simplify your answer. Type your answer in factored form.)

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Problem 7918

Factor the given polynomial. $x^{2}-13 x+40$
Select the correct choice below and, if necessary, fill in the answer box within your choice. A. $x^{2}-13 x+40=$ $\square$

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Problem 7919

Question 13
Factor the trinomial, or state that the trinomial is prime. $x^{2}-4 x-45$
Select the correct choice below and fill in any answer boxes within your choice A. $x^{2}-4 x-45=$ $\square$ B. The polynomial is prime.

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Problem 7920

Factoring and Applications Lesson \#4: Factori Factor. a) $4(3 x+1)^{2}-5(3 x+1)+1$

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Problem 7921

Use common logarithms or natural logarithms and a calculator to evaluate the expression. $\log _{19} 11$
Evaluate the expression. $\log _{19} 11 \approx \square$ (Type an integer or a decimal. Do not round until the final answer. Then round to four dec

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Problem 7922

Using the change of base formula, the expression $\frac{\log _{5} 22}{\log _{5} 23}$ can also be written as $\log _{22} 23$ $\frac{\log _{23} 22}{5}$ $\log _{23} 22$ $\frac{\log _{5} 22}{23}$

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Problem 7923

Use the product rule to simplify the expression. $\begin{array}{c} (7 p y)(-8 p) \\ (7 p y)(-8 p)= \end{array}$ (Type your answer using exponential notation.)

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Problem 7924

Question 5 of 18, Step 1 of 1 4/19 Correct
Simplify the following complex fraction. $\frac{5 x^{-2}+y^{-2}}{5 x^{-3}-y^{-2}}$
Answer

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Problem 7925

Use the quotient rule to simplify. $\frac{x^{4} y^{7}}{x^{2} y^{7}}$

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Problem 7926

Simplify. Use positive exponents for any variables. $(6 x)^{0}+6 x^{0}$

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Problem 7927

Factor completely. $u^{2}-9 u+14=$

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Problem 7928

Simplify. Write the answer using positive exponents only. $\left(\frac{x^{-8}}{x^{-3}}\right)^{-9}$

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Problem 7929

Simplify. Write the answer using positive exponents only. $\left(\frac{x^{-3} y^{-5}}{a^{-3}}\right)^{-5}$

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Problem 7930

Calculate the slope and enter it below to aim the X Wing and destroy all TIE-Fighters. \begin{tabular}{|l|l|} \hline Slope & Aim Left or Right \\ \hline & \\ \hline \end{tabular}
Fire

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Problem 7931

Simplify. $\left(\frac{4 x^{2}}{y^{3}}\right)^{3}\left(\frac{4 x^{8}}{y}\right)^{-2}$

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Problem 7932

Add. $\left(6 x^{3} y-6 x y+5\right)+\left(8 x^{3} y+6 x y+5 x\right)$

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Problem 7933

3. La forme suivante est composée d'un rectangle, un demi-cercle, et un triangle. Détermine l'aire totale de la forme, arrondie au dixième près.

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Problem 7934

$10 \times 12=$

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Problem 7935

2. Determine the approximate degree measure, to the nearest tenth, for each angle. a) 1.24 b) 2.82 c) 4.78 d) 6.91

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Problem 7936

Fill in the blank to complete the trigonometric formula. $\sin u \cos v=$

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Problem 7937

Problems 4B (10 points) In 2018 Juan bought 6 apartment units at a price of $\$ 175,000$ . He spent approximately $\$ 15,000$ to renovate each apartment. He sold half of the flats in 2021 at a price of $\$ 200,000$ each. Juan sold the other half in 2023 at $\$ 380,000$ per apartment. Juan had to pay $15 \%$ as profit tax. (a) Calculate Juan's net profit after tax return on his investment in 2021 and 2023. (b) Calculate Juan's profit if he had sold all of his apartment units in 2021.

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Problem 7938

Exercice 1 1- Effectuer, en binaire, les opérations suivantes : a) $7 \mathrm{~B}_{(16)}+56,4(8)$ b) $\mathrm{A} 9_{(16)}-33_{(4)}$
2- Effectuer en octal : $726_{(8)}-535_{(8)}$ et en hexadécimal : $3 \mathrm{AD}_{(16)}+\mathrm{BOFF}_{(16)}$ . 3- Déterminer la base B sachant que $(25)_{\mathrm{B}}=(10111)_{2}$ 4- Convertir $94_{(10)}$ en binaire puis recopier et compléter le tableau suivant : \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline Chiffres du nombre en base 2 & & & & & & & & \\ \hline Rang du chiffre & & & & & & & & \\ \hline Poids de chiffre & & & & & & & & \\ \hline Valeurs & & & & & & & & \\ \hline \end{tabular}
5- Déterminer x et y tel que : $(3 x 2, y 3)_{6}=(134,25)_{10}$ 6- Effectuer les conversions suivantes : a) $180_{(10)}=\mathrm{N}_{(2)}=\mathrm{N}_{(16)}$ b) $7 \mathrm{C}, \mathrm{B}_{(16)}=\mathrm{N}_{(8)}=\mathrm{N}_{(10)}$ c) $1010,011_{(2)}=\mathrm{N}_{(10)}=\mathrm{N}_{(8)}=\mathrm{N}_{(16)}$

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Problem 7939

Evaluate the integral. Use $C$ (upper case) for the constant of integration. $\int \frac{8 x+9}{\sqrt{16-x^{2}}} d x$

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Problem 7940

Assume that a sample is used to estimate a population mean $\mu$ . Find the $80 \%$ confidence interval for a sample of size 41 with a mean of 38.5 and a standard deviation of 18.5. Enter your answer as an openinterval (i.e., parentheses) accurate to 3 decimal places.
80\% C.I. = $\square$ The answer should be obtained without any preliminary rounding.

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Problem 7941

$x+x=$

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Problem 7942

Interest rate is a percentage periodically applied to a sum of money to determine the amount of interest to be added to that sum
Select one: True False

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Problem 7943

Use the product-to-sum formulas to rewrite the product as a sum or difference. $8 \cos 2 \theta \cos 4 \theta$ $\square$

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Problem 7944

Use the sum-to-product formulas to find the exact value of the expression. $9 \cos 120^{\circ}+9 \cos 60^{\circ}$
Step 1 Factor out the constant. $9 \cos 120^{\circ}+9 \cos 60^{\circ}=$ $\square$ $\left(\cos 120^{\circ}+\cos 60^{\circ}\right)$

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Problem 7945

a. $\lim _{x \rightarrow 2} \frac{x^{4}-5 x-6}{4 x-8}=$

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Problem 7946

2. If $x=-3, y=4$ and $z=-5$ , then verify each of the following: (a) $|x+z| \leq|x|+|z|$ (b) ly- (c) $|x y z|=|x| \cdot|y| \cdot|z|$ (d) $\left|\frac{\mathrm{x}}{\mathrm{z}}\right|=$

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Problem 7947

19. Find the exact value of $3-2 . \dot{9}$ .

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Problem 7948

Guided Practice
2. Find the area of the Shaded Region to the nearest tenth.

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Problem 7949

I'm sorry, but I cannot accurately rewrite the math problem in LaTeX format without more information about the shapes and dimensions involved in the problem. Please provide more details or a description of the image.

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Problem 7950

Simplify and express the answer using only positive exponents. a) $\frac{10^{6}}{10}$ b) $\frac{5^{3}}{5^{7}}$ c) $\frac{7^{5}}{7^{3}}$ d) $\frac{3}{3^{5}}$

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Problem 7951

$15 \sqrt{3}=$

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Problem 7952

Convert the number BO in base 16 to base 2.
Answer:

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Problem 7953

Convert 3.81 radians to degrees. Give your answer to 2 decimal places.
Answer:

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Problem 7954

Find $\cos 1.59$ as $+\cos x$ or $-\cos x$ for $0<x<\frac{\pi}{2}$ $\cos 1.59=$ $\square$ cos $\square$

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Problem 7955

What number is equal to $\frac{10 \times 4}{10^{-1} \times 4^{2}}$ ?

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Problem 7956

6. What is the coefficient of $1 / x^{6}$ in the expression $\left(x^{5}+1 / x^{3}\right)^{10}$ .
ANS:

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Problem 7957

PROBLĖMES AVEC LA MULTIPLICATION ET DIVIIION DES POLYNÔMES $\frac{\left(-4,5 x^{2}+3,6 x\right)}{0,5 x}$

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Problem 7958

ii. Solve $\frac{1}{\sqrt{2}+\sqrt{2} i}$ in the form $a+b i$ .
Selesaikan $\frac{1}{\sqrt{2}+\sqrt{2} i}$ dalam bentuk $a+b i$ .

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Problem 7959

$(7 x+5 y)^{2}$

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Problem 7960

QUESTION 12 - 1 POINT The questions on a test consist of 1 multiple choice, 2 essays, and 10 free responses. If the questions are ordered randomly, what is the probability that the first question is a free response? Give your answer as a simplified fraction.
Provide your answer below: $\square$ FEEDBACK

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Problem 7961

\text{Each side of a square has a length of } 9 \text{ cm. What is the perimeter of the square?}

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Problem 7962

Use radical notation to write the expression. Simp $(-125)^{\frac{2}{3}}$

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Problem 7963

7) Joy's monthly statement includes the following items: - previous balance: $\$ 1638.92$ - payment: $\$ 650.00$ - purchases: \ $879.54 - minimum monthly payment corresponds to at least$ 5 \% $of her ending balance or$ \ $10.00$ whichever is greater. a) Calculate Joy's new balance. b) Calculate Joy's minimum monthly payment.

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Problem 7964

Three 5-L flasks, fixed with pressure gauges and small valves, each contain 6 g of gas at 271 K . Flask A contains $\mathrm{H}_{2}$ , flask B contains $\mathrm{CH}_{4}$ , and flask C contains He. Rank the flask contents in terms of the following:
Part 1 of 6 pressure: $A>C>B$ $\square$ .
Part 2 of 6 average molecular kinetic energy: $\square$ $C>A>B$ J $\square$
Part 3 of 6 diffusion rate after valve is opened: $A=B=C$ $\square$

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Problem 7965

on 12. Homework YOUR SCORE: 8 Simplify. 60 $1 b$ $1 c$ 1d (e) $(a-3)+(a-5)=$ 1 g 2a 2b 2 e $2 f$ 2 g
Answer: $\square$ GRADE ANSWER

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Problem 7966

Perform the indicated operation. Simplify the result if possible. $6 \mathrm{yd} 2 \mathrm{fl} \times 4$

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Problem 7967

4. Write each of the following as a simplified rational expression. a) $\frac{c}{2}-\frac{c+2}{6}$ b) $\frac{a+2}{3}+\frac{a-3}{5}$ c) $\frac{t-2}{4}-\frac{t-3}{5}$ d) $\frac{2 y-3}{4}-\frac{y+4}{7}$ e) $\frac{2 x-3}{3}-\frac{5-2 x}{9}$ f) $\frac{x}{4}+\frac{x+3}{6}+\frac{3 x}{2}$
5. Simplify the following. a) $2-\frac{y-5}{5}$ b) $\frac{3 a+4}{12}-1$ c) $\frac{t}{7}-t-\frac{t-3}{3}$

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Problem 7968

1. Circle all of the following polynomials that are DEGREE 2: [1 mark] $\begin{array}{llll} 2 x+3 & -4 x^{2}+3 x-1 & (x+3)(x-2) & (x+4)^{2}-8 \end{array}$

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Problem 7969

A) -1.1 B) 0.1
2. Which number is a not a rational number?
2. $\qquad$ C) -0.1 A) $\sqrt{16}$ B) $\pi$ C) -5 D) 2
3. What number is equivlant to $\frac{-2}{3}$ ?
3. $\qquad$ A) $\frac{2}{3}$ B) $\frac{-3}{6}$ C) $\frac{-4}{-6}$ D) $\frac{-4}{6}$
4. $\qquad$
4. Evaluate: $\frac{-2}{5}+\left(\frac{3}{5}\right)$ A) $\frac{1}{10}$ B) $\frac{1}{5}$ C) $\frac{-1}{5}$ D) $\frac{-6}{25}$ 5.

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Problem 7970

6 What is the difference: $\frac{-4}{5}-\left(\frac{-7}{10}\right)$ ? 6. $\qquad$ A) $\frac{-3}{2}$ B) $\frac{3}{10}$ C) $\frac{-1}{10}$ D) $\frac{3}{2}$
7. What -is the product $\frac{1}{4} \times\left(\frac{-3}{5}\right)$ ?
7. $\qquad$ A) $\frac{-3}{20}$ B) $\frac{-2}{9}$ C) $\frac{3}{20}$ D) $\frac{-7}{20}$

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Problem 7971

3. Evaluate: A) $\frac{11}{9}+\left(\frac{-17}{6}\right) \quad$ (2 marks)

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Problem 7972

2. Divide: $\frac{x^{3}-2 x^{2}}{x}$
3. Divide: $\frac{12 x^{3}+6 x^{2}}{3 x}$
4. Divide: $\frac{15 x^{2} y^{3}+5 x y}{5 x y}$
5. Divide: $\frac{8 x^{3}-4 x^{2}}{4 x^{2}}$
Part B: Medium-Challenging Division
6. Divide: $\frac{3 x^{3}+x^{2}-x}{x+1}$
7. Divide: $\frac{4 x^{4}-8 x^{3}+2 x^{2}}{2 x^{2}}$
8. Divide: $\frac{x^{3}-3 x^{2}+3 x-1}{x-1}$
9. Divide: $\frac{6 x^{4}-7 x^{3}+x^{2}+x}{2 x^{2}}$
10. Divide: $\frac{x^{4}-5 x^{2}+4}{x^{2}-1}$

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Problem 7973

b) $\cos 10^{\circ} \cos 7^{\circ}-\sin 10^{\circ} \sin 7^{\circ}$ $\cos (10+7)-2 \cos$ d) $\sin \frac{\pi}{3} \cos \frac{\pi}{4}-\cos \frac{\pi}{3} \sin \frac{\pi}{4}$

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Problem 7974

$\sin \left(\frac{\pi}{3}-\frac{\pi}{4}\right)-2 \sin \left(\frac{4 \pi}{12}-\frac{3 \pi}{12}\right) \rightarrow$
Simplify and then give an exact value for each expression. a) $\cos 25^{\circ} \cos 5^{\circ}-\sin 25^{\circ} \sin 5^{\circ}$ $\begin{array}{l} \cos 25^{\circ} \cos 5^{\circ}-\sin 25^{\circ} \sin 5^{\circ} \\ \Rightarrow \cos (25+5)-8 \cos \left(30^{\circ}\right) \rightarrow \frac{\sqrt{3}}{2} \end{array}$ d) $\cos \frac{7 \pi}{12} \cos \frac{\pi}{3}+\sin \frac{7 \pi}{12} \sin \frac{\pi}{3}$

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Problem 7975

Welche Zahlen darfst du nicht für die Variablen einsetzen? a) $\frac{4 x}{x(x+2)}$ c) $\frac{9-x}{(x+3)(x-2)}$ e) $\frac{3}{(x-2)(x-1)}$ g) $\frac{1}{x(x-2)}$ b) $\frac{2+x}{x(x-4)}$ d) $\frac{4 x-5}{(x-5)(x+2)}$ f) $\frac{2-x}{(x-2)(x+2)}$ h) $\frac{4+x}{(x-1)(x+1)}$

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Problem 7976

```latex \begin{align} 4652 + 9578 + 878 &= 15108 \\ 43427 + 2945 &= 46372 \\ 3079 + 5609 &= 8688 \\ \end{align}

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Problem 7977

Consider the limit $\lim _{x \rightarrow 0} \frac{\sin ^{2}(8 x)}{1-\cos (8 x)}$
To simplify this limit, we should multiply numerator and denominator by the expression $\square$ After doing this and simplifying the result we find that the value of limit is $\square$
Note: You can earn partial credit on this problem. Preview My Answers Submit Answers

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Problem 7978

NYA Module 7: Problem 11
For each of the following forms determine whether the following limit type is indeterminate, always has a fixed finite value, or never has a fixed finite value. In the first case answer IND, in the second enter the numerical value, and in the third case answer DNE. To discourage blind guessing, this problem is graded on the following scale $\begin{array}{l} 0-9 \text { correct = } 0 \\ 10-13 \text { correct }=.3 \\ 14-16 \text { correct }=.5 \\ 17-19 \text { correct }=.7 \end{array}$
Note that l'Hospital's rule (in some form) may ONLY be applied to indeterminate forms.
1. $\infty^{-\infty}$
2. $\infty^{-0}$
3. $\infty^{\infty}$
4. $\infty^{1}$
5. $\pi^{\infty}$
6. $1^{\infty}$ $7.1^{0}$
8. $\infty^{0}$
9. $\pi^{-\infty}$ $10 . \infty \cdot \infty$
11. $\frac{0}{\infty}$
12. $\frac{1}{-\infty}$ $13.0 \cdot \infty$
14. $\frac{\infty}{0}$
15. $1^{-\infty}$ $16.1 \cdot \infty$
17. $\infty-\infty$ $18.0^{0}$ $\square$ $19.0^{\infty}$ $\square$ 20. $0^{-\infty}$

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Problem 7979

3. Se tiene una baraja de naipes de 52 cartas de la cual se extraen, simrreemplazo, 4 cartas al azar. ¿Cuál es la probabilidad de que las 4 cartas sean ases? A) $\frac{13 \cdot 12 \cdot 11 \cdot 10}{52 \cdot 51 \cdot 50 \cdot 49}$ B) $\frac{4 \cdot 3 \cdot 2 \cdot 1}{52 \cdot 51 \cdot 50 \cdot 49}$ C) $\frac{1}{4}$ D) $\frac{1}{13}$

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Problem 7980

Q9) $[4,3$ K] Simplify. State any and all $\frac{2 x^{2}+5 x+3}{4 x^{2}-4 x-15} \div \frac{3 x^{2}+2 x-1}{2 x^{2}+3 x-20}$

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Problem 7981

4. Si 3 personas lanzan un dado cada uno. ¿Cuál es la probabilidad de que todas ellas obtengan el mismo número? A) $\frac{1}{6}$ B) $\frac{1}{36}$ C) $\frac{1}{72}$ D) $\frac{1}{216}$

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Problem 7982

11. Which three of the following show correct calculations for finding $7 \%$ of 900 ? $\square$ $\frac{900 \times \frac{7}{100}}{(900 \times 1 \%) \times 7}$ $\square$ $900 \div 7 \%$ B
$(900 \times 1 \%) \times 7$
$900 \times 0.07$ D $900 \times 0.07 \%$ step きiew next step $v$

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Problem 7983

4. Expand the following: $=25 a^{2}$ A. $(22)^{2}=$ B. $(102)^{2}=$ C. $(-54)^{2}=$ D. $(59)^{2}=$

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Problem 7984

Estima el cociente. $28.3 \div 9$ A. 30 B. 10 C. 1 D. 3

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Problem 7985

Estima el cociente. $4.81 \div 0.97$ 5 1 0 50

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Problem 7986

La señora Swanson y 2 vecinos compraron una cortadora de césped para compartir. La cortadora de césped cuesta $\$ 358.40$ . Describe cómo puedes estimar la parte del costo de cada persona.
Usando números compatibles, $\square$ $\div 3$ resulta en que cada persona paga alrededor de $\$$ (Escribe un número entero o un decimal). $\square$ .

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Problem 7987

Estima el cociente redondeando cada número al número entero más cercano. $33.7 \div 9.5$
Escribe tu respuesta en el recuadro.

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Problem 7988

```latex \text{The prices of two different brands are given as follows:} \\ \text{Brand A: } £2.65 \text{ for } 140g \\ \text{Brand B: } £3.10 \text{ for } 175g \\
\text{What is the difference between the prices of the two brands?} ```

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Problem 7989

Is $-672,088-6,068$ positive or negative? positive negative

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Problem 7990

What number has 7 hundred thousands, 1 fewer ten thousand than hundred thousands, 4 fewer thousands than hundred thousands, the same number of hundreds as hundred thousands, 3 more tens than thousands, and 4 fewer ones than hundred thousands? $\square$

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Problem 7991

What number has 2 ten thousands, 7 more thousands than ten thousands, 5 fewer hundreds than thousands, 6 more tens than ten thousands, and 1 fewer one than thousands? $\square$

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Problem 7992

What number has 2 hundred thousands, 5 more ten thousands than hundred thousands, no thousands, 4 more hundreds than hundred thousands, 6 more tens than thousands, and no ones? $\square$

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Problem 7993

picy (Max 100\%) $3(12 x-y)(2 x-7 y)$

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Problem 7994

What number has 6 ten thousands, 1 fewer thousand than ten thousands, 2 more hundreds than ten thousands, the same number of tens as ten thousands, and 2 fewer ones than tens? $\square$

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Problem 7995

A rectangular region is removed from another rectangular region to create the shaded regions shown below. Find the combined area of the shaded regions. $\square$ $\mathrm{ft}^{2}$

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Problem 7996

1. Reduce to lowest terms. a) $\frac{3 x}{x^{3}}$ b) $\frac{5 x-5}{10 x-10}$ c) Express $\frac{1}{4-x}$ as a fraction with denominator $x-4$ d) Express as fractions with a common denominator. $\frac{2}{x}$ and $\frac{8}{y}$

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Problem 7997

Dimostrare che $\forall n \geq 0,11$ divide $9^{n+1}+2^{6 n+1}$

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Problem 7998

a) $12x(5x-4)$

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Problem 7999

$3 x[(x-3)+y]-2 y[(y+7)-x]$

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Problem 8000

Question Sales of video games and consoles fell from $\$ 1.15$ million to $\$ 1.03$ million in 1 year. Find the percent decrease. Round your answer to the nearest tenth of a percent. For example, if the answer is $34.08 \%$ enter $34.1 \%$ .

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1 ...77 78 79 80 81 82 83 ...144

Expression

Problem 7901

Problem 7902

Problem 7903

What is the capacity of a rectangular clarifier that is 20 feet wide, 75 feet long and 15 feet deep?

Problem 7904

Subtract. (14+i)−(−1+4i)(14+i)-(-1+4 i)(14+i)−(−1+4i)

Problem 7905

πr2r=2−5\pi r^{2} \quad r=2-5πr2r=2−5

Problem 7906

Factor the expression 2m2+m−12m^2 + m - 12m2+m−1.

Problem 7907

Approximate the number using a calculator. 32.83^{2.8}32.8 32.8≈3^{2.8} \approx32.8≈ □\square□ (Round to three decimal places.)

Problem 7908

Use the definition of the common logarithm to simplify. 10log⁡(21)=10^{\log (21)}=10log(21)= □\square□ Enter an integer or decimal number [more.]

Problem 7909

sin⁡π3cos⁡π6+cos⁡π3sin⁡π6\sin \frac{\pi}{3} \cos \frac{\pi}{6}+\cos \frac{\pi}{3} \sin \frac{\pi}{6}sin3π​cos6π​+cos3π​sin6π​

Problem 7910

10. There are a number of blue marbles and a number of green marbles in a bag. Nirmala is told that the odds against selecting a blue marble from the bag are 4:7. Which of the following describes the number of blue marbles in the bag? A. 4 B. 7 C. 11

Problem 7911

Problem 7912

Write the following using the log base change rule, and change to either log base 10 (write log) or log base e (write it as In) log⁡2(7)\log _{2}(7)log2​(7)

Problem 7913

Problem 7914

Rewrite the expression with rational exponents. 93\sqrt[3]{9}39​

Problem 7915

Question 4A factor of x3+12x2+41x+42x^{3}+12 x^{2}+41 x+42x3+12x2+41x+42 is x−3x-3x−3 x+3x+3x+3 x−2x-2x−2 x−7x-7x−7

Problem 7916

Simplify the expression. (116)1/2\left(\frac{1}{16}\right)^{1 / 2}(161​)1/2 (116)1/2=\left(\frac{1}{16}\right)^{1 / 2}=(161​)1/2= □\square□ (Type an integer or a simplified fraction.)

Problem 7917

Problem 7918

Factor the given polynomial. x2−13x+40x^{2}-13 x+40x2−13x+40Select the correct choice below and, if necessary, fill in the answer box within your choice. A. x2−13x+40=x^{2}-13 x+40=x2−13x+40= □\square□

Problem 7919

Question 13Factor the trinomial, or state that the trinomial is prime. x2−4x−45x^{2}-4 x-45x2−4x−45Select the correct choice below and fill in any answer boxes within your choice A. x2−4x−45=x^{2}-4 x-45=x2−4x−45= □\square□ B. The polynomial is prime.

Problem 7920

Factoring and Applications Lesson \#4: Factori Factor. a) 4(3x+1)2−5(3x+1)+14(3 x+1)^{2}-5(3 x+1)+14(3x+1)2−5(3x+1)+1

Problem 7921

Use common logarithms or natural logarithms and a calculator to evaluate the expression. log⁡1911\log _{19} 11log19​11Evaluate the expression. log⁡1911≈□\log _{19} 11 \approx \squarelog19​11≈□ (Type an integer or a decimal. Do not round until the final answer. Then round to four dec

Problem 7922

Problem 7923

Use the product rule to simplify the expression. (7py)(−8p)(7py)(−8p)=\begin{array}{c} (7 p y)(-8 p) \\ (7 p y)(-8 p)= \end{array}(7py)(−8p)(7py)(−8p)=​ (Type your answer using exponential notation.)

Problem 7924

Question 5 of 18, Step 1 of 1 4/19 CorrectSimplify the following complex fraction. 5x−2+y−25x−3−y−2\frac{5 x^{-2}+y^{-2}}{5 x^{-3}-y^{-2}}5x−3−y−25x−2+y−2​Answer

Problem 7925

Use the quotient rule to simplify. x4y7x2y7\frac{x^{4} y^{7}}{x^{2} y^{7}}x2y7x4y7​

Problem 7926

Simplify. Use positive exponents for any variables. (6x)0+6x0(6 x)^{0}+6 x^{0}(6x)0+6x0

Problem 7927

Factor completely. u2−9u+14=u^{2}-9 u+14=u2−9u+14=

Problem 7928

Simplify. Write the answer using positive exponents only. (x−8x−3)−9\left(\frac{x^{-8}}{x^{-3}}\right)^{-9}(x−3x−8​)−9

Problem 7929

Simplify. Write the answer using positive exponents only. (x−3y−5a−3)−5\left(\frac{x^{-3} y^{-5}}{a^{-3}}\right)^{-5}(a−3x−3y−5​)−5

Problem 7930

Calculate the slope and enter it below to aim the X Wing and destroy all TIE-Fighters. \begin{tabular}{|l|l|} \hline Slope & Aim Left or Right \\ \hline & \\ \hline \end{tabular}Fire

Problem 7931

Simplify. (4x2y3)3(4x8y)−2\left(\frac{4 x^{2}}{y^{3}}\right)^{3}\left(\frac{4 x^{8}}{y}\right)^{-2}(y34x2​)3(y4x8​)−2

Problem 7932

Add. (6x3y−6xy+5)+(8x3y+6xy+5x)\left(6 x^{3} y-6 x y+5\right)+\left(8 x^{3} y+6 x y+5 x\right)(6x3y−6xy+5)+(8x3y+6xy+5x)

Problem 7933

3. La forme suivante est composée d'un rectangle, un demi-cercle, et un triangle. Détermine l'aire totale de la forme, arrondie au dixième près.

Problem 7934

10×12=10 \times 12=10×12=

Problem 7935

2. Determine the approximate degree measure, to the nearest tenth, for each angle. a) 1.24 b) 2.82 c) 4.78 d) 6.91

Problem 7936

Fill in the blank to complete the trigonometric formula. sin⁡ucos⁡v=\sin u \cos v=sinucosv=

Problem 7937

Problem 7938

Problem 7939

Evaluate the integral. Use CCC (upper case) for the constant of integration. ∫8x+916−x2dx\int \frac{8 x+9}{\sqrt{16-x^{2}}} d x∫16−x2​8x+9​dx

Problem 7940

Problem 7941

x+x=x+x=x+x=

Problem 7942

Interest rate is a percentage periodically applied to a sum of money to determine the amount of interest to be added to that sumSelect one: True False

Problem 7943

Use the product-to-sum formulas to rewrite the product as a sum or difference. 8cos⁡2θcos⁡4θ8 \cos 2 \theta \cos 4 \theta8cos2θcos4θ □\square□

Problem 7944

Problem 7945

Subtract. $(14+i)-(-1+4 i)$

$\pi r^{2} \quad r=2-5$

Factor the expression $2m^2 + m - 1$ .

Approximate the number using a calculator. $3^{2.8}$ $3^{2.8} \approx$ $\square$ (Round to three decimal places.)

Use the definition of the common logarithm to simplify. $10^{\log (21)}=$ $\square$ Enter an integer or decimal number [more.]

$\sin \frac{\pi}{3} \cos \frac{\pi}{6}+\cos \frac{\pi}{3} \sin \frac{\pi}{6}$

Write the following using the log base change rule, and change to either log base 10 (write log) or log base e (write it as In) $\log _{2}(7)$

Rewrite the expression with rational exponents. $\sqrt[3]{9}$

Question 4
A factor of $x^{3}+12 x^{2}+41 x+42$ is $x-3$ $x+3$ $x-2$ $x-7$

Simplify the expression. $\left(\frac{1}{16}\right)^{1 / 2}$ $\left(\frac{1}{16}\right)^{1 / 2}=$ $\square$ (Type an integer or a simplified fraction.)

Factor the given polynomial. $x^{2}-13 x+40$
Select the correct choice below and, if necessary, fill in the answer box within your choice. A. $x^{2}-13 x+40=$ $\square$

Question 13
Factor the trinomial, or state that the trinomial is prime. $x^{2}-4 x-45$
Select the correct choice below and fill in any answer boxes within your choice A. $x^{2}-4 x-45=$ $\square$ B. The polynomial is prime.

Factoring and Applications Lesson \#4: Factori Factor. a) $4(3 x+1)^{2}-5(3 x+1)+1$

Use common logarithms or natural logarithms and a calculator to evaluate the expression. $\log _{19} 11$
Evaluate the expression. $\log _{19} 11 \approx \square$ (Type an integer or a decimal. Do not round until the final answer. Then round to four dec

Use the product rule to simplify the expression. $\begin{array}{c} (7 p y)(-8 p) \\ (7 p y)(-8 p)= \end{array}$ (Type your answer using exponential notation.)

Question 5 of 18, Step 1 of 1 4/19 Correct
Simplify the following complex fraction. $\frac{5 x^{-2}+y^{-2}}{5 x^{-3}-y^{-2}}$
Answer

Use the quotient rule to simplify. $\frac{x^{4} y^{7}}{x^{2} y^{7}}$

Simplify. Use positive exponents for any variables. $(6 x)^{0}+6 x^{0}$

Factor completely. $u^{2}-9 u+14=$

Simplify. Write the answer using positive exponents only. $\left(\frac{x^{-8}}{x^{-3}}\right)^{-9}$

Simplify. Write the answer using positive exponents only. $\left(\frac{x^{-3} y^{-5}}{a^{-3}}\right)^{-5}$

Calculate the slope and enter it below to aim the X Wing and destroy all TIE-Fighters. \begin{tabular}{|l|l|} \hline Slope & Aim Left or Right \\ \hline & \\ \hline \end{tabular}
Fire

Simplify. $\left(\frac{4 x^{2}}{y^{3}}\right)^{3}\left(\frac{4 x^{8}}{y}\right)^{-2}$

Add. $\left(6 x^{3} y-6 x y+5\right)+\left(8 x^{3} y+6 x y+5 x\right)$

$10 \times 12=$

Fill in the blank to complete the trigonometric formula. $\sin u \cos v=$

Evaluate the integral. Use $C$ (upper case) for the constant of integration. $\int \frac{8 x+9}{\sqrt{16-x^{2}}} d x$

$x+x=$

Interest rate is a percentage periodically applied to a sum of money to determine the amount of interest to be added to that sum
Select one: True False

Use the product-to-sum formulas to rewrite the product as a sum or difference. $8 \cos 2 \theta \cos 4 \theta$ $\square$

a. $\lim _{x \rightarrow 2} \frac{x^{4}-5 x-6}{4 x-8}=$

19. Find the exact value of $3-2 . \dot{9}$ .

Guided Practice
2. Find the area of the Shaded Region to the nearest tenth.

Simplify and express the answer using only positive exponents. a) $\frac{10^{6}}{10}$ b) $\frac{5^{3}}{5^{7}}$ c) $\frac{7^{5}}{7^{3}}$ d) $\frac{3}{3^{5}}$

$15 \sqrt{3}=$

Convert the number BO in base 16 to base 2.
Answer:

Convert 3.81 radians to degrees. Give your answer to 2 decimal places.
Answer:

Find $\cos 1.59$ as $+\cos x$ or $-\cos x$ for $0<x<\frac{\pi}{2}$ $\cos 1.59=$ $\square$ cos $\square$

What number is equal to $\frac{10 \times 4}{10^{-1} \times 4^{2}}$ ?

6. What is the coefficient of $1 / x^{6}$ in the expression $\left(x^{5}+1 / x^{3}\right)^{10}$ .
ANS:

PROBLĖMES AVEC LA MULTIPLICATION ET DIVIIION DES POLYNÔMES $\frac{\left(-4,5 x^{2}+3,6 x\right)}{0,5 x}$

ii. Solve $\frac{1}{\sqrt{2}+\sqrt{2} i}$ in the form $a+b i$ .
Selesaikan $\frac{1}{\sqrt{2}+\sqrt{2} i}$ dalam bentuk $a+b i$ .

$(7 x+5 y)^{2}$

Use radical notation to write the expression. Simp $(-125)^{\frac{2}{3}}$

on 12. Homework YOUR SCORE: 8 Simplify. 60 $1 b$ $1 c$ 1d (e) $(a-3)+(a-5)=$ 1 g 2a 2b 2 e $2 f$ 2 g
Answer: $\square$ GRADE ANSWER

Perform the indicated operation. Simplify the result if possible. $6 \mathrm{yd} 2 \mathrm{fl} \times 4$

1. Circle all of the following polynomials that are DEGREE 2: [1 mark] $\begin{array}{llll} 2 x+3 & -4 x^{2}+3 x-1 & (x+3)(x-2) & (x+4)^{2}-8 \end{array}$

3. Evaluate: A) $\frac{11}{9}+\left(\frac{-17}{6}\right) \quad$ (2 marks)