Browse Expression problems Studdy Solved!

Problem 1001

Factor by grouping. $\begin{array}{l} x^{3}+9 x^{2}-6 x-54 \\ x^{3}+9 x^{2}-6 x-54= \end{array}$

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Problem 1002

Write down the three forms of the double-angle formula for cosine:

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Problem 1003

Instructions Choose the best answer. If necessary, use the paper you were given.
Question Sandra wants to buy a dress that is on sale for 20\% off. Sandra also gets a $5 \%$ discount for being a member of the store's buyer's club. Her buyer's club discount is taken off the sale price of any item. If the original cost of the dress was $c$ dollars, which of the following expressions represents what Sandra would pay, in dollars, for the dress? $0.80 c$ $0.76 c$ $0.75 c$ $0.25 c$

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Problem 1004

Divide $\frac{1}{20} \div 5$
Enter your answer in the box as a fraction in simplest form. $\square$

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Problem 1005

Which figure has a greater area?

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Problem 1006

s sometimes Revision
1. Write down the numbers that are integers in this list of numbers. $17,35 ;-3561234 ; 55598 ; \frac{7}{8} ; 0,135 ;-\frac{1}{2} ; \sqrt{36}$
2. Use the inequality signs < or $>$ in place of $\square$ to compare these numbers. a) $-12050 \square-22510$ b) $135050 \square 135500$
3. Arrange these numbers in ascending order. $132 ; 1500 ;-289 ;-143576 ; 1906 ;-257 ; 81$
4. Arrange these numbers in descending orger $21913 ;-2271 ; 6105 ;-110 ; 128 ; 0 ; 493 ; 892$
5. Write down the additive inverses of these numbers. a) -60 b) 18
6. Simplify. a) $1250-(-300)+(-120)$ b) $81-19+218-412$ c) $-4235+176-(-3285)$
7. a) By how much is 18 greater than -8 ? b) By how much is -20 less than 20? c) What must be added to -16 to give 45 ? d) What must be added to 25 to give -30 ? e) What is the difference between -12 and 12?
8. Calculate. a) $-114 \times 15$ b) $(-105) \div(-15)$ c) $-48 \div(-6)$ d) $1000000 \div-250$
9. Simplify. a) $(-3)(-2)(-4)(-1)$ b) $(-6)(-2)(5)(-3)$
10. Kate's bank statement shows a balance of -R468. How much does she need to deposit into her bank account to get her balance to R100?
11. The temperature was recorded at $5^{\circ} \mathrm{C}$ on Sunday. The next day it dropped by $12^{\circ} \mathrm{C}$ . What was the temperature the next day?
12. Which temperature is lower? a) $8^{\circ} \mathrm{C}$ or $-4^{\circ} \mathrm{C}$ b) $-12^{\circ} \mathrm{C}$ or $-15^{\circ} \mathrm{C}$

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Problem 1007

1. Simplify the complex rational expression: $\frac{\frac{1}{x-1}-\frac{1}{x}}{\frac{1}{x^{2}-x}}$ A. 1 B. $\frac{2}{x-1}$ C. $\frac{x}{x-1}$ D. $x-x^{2}$ E. None of the above

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Problem 1008

A store purchased remote control cars for $\$ 15$ and sold them for \$30. What is the markup percentage?
Write your answer using a percent sign (\%). $\square$

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Problem 1009

Simplify $\frac{12}{16}$ to lowest terms and find an equivalent fraction that has a denominator of 32. $\frac{3}{4}, \frac{24}{32}$ $\frac{3}{4}, \frac{12}{32}$ $\frac{2}{6}, \frac{24}{32}$ $\frac{6}{8}, \frac{285}{32}$

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Problem 1010

Subtract. Write your answer as a mixed number in simp $5 \frac{6}{7}-4 \frac{3}{7}$

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Problem 1011

3. A turkey with a mass of $5 x+10$ is being cooked. If $x=2$ , calculate its mass.

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Problem 1012

4. Janet hiked 2.5 miles in one hour. How far did she hike in kilometers? (A) 0.6 km (B) 1.6 km 4.0 km (D) 4.2 km

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Problem 1013

on your own Determine whether each statement describes a mean or a proportion. Explain your reasoning. 1) The average high temperature in Raleigh in July is 87 degrees Fahrenheit. 2) On any given day in July in Raleigh, there is a $35 \%$ chance for rain sometime during the day. 3) A study of 200 college students' text messaging habits revealed that $\bar{x}=86$ messages per day. 4) A study of 200 college students' text messaging habits revealed that 173 of the group sent at

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Problem 1014

0 of 1 point
If two 6 -sided dice are rolled, what is the probability that the total of the two dice is 11 ? Express the answer as a fraction. $P(\text { sum of two dice }=11)=$ $\square$

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Problem 1015

What is the quotient of $765 \div 6$ ? 127 $127 \frac{1}{6}$ $127 \frac{3}{6}$ 128

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Problem 1016

One layer of 1 -inch cubes is shown. If 9 layers are stacked, what is the volume of the right ectangular prism formed by the stack?

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Problem 1017

The perimeter of a regular pentagon is represented by the expression $25 c+15$ . What is the length of one side of the pentagon? Drag each expression into the table to show whether it is equivalent or not equivalent to the side length of the regular pentagon.
Equivalent Not Equivalent $\frac{25 c+15}{5}$ $5 c+15$ $3+5 c$ $\frac{1}{5}(25 c+15)$ $5(25 c+15)$

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Problem 1018

7. To make brown paint, 500 mL of blue paint was mixed with 175 mL of orange paint and 125 mL of red paint. What fraction of the brown paint is made of orange paint?

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Problem 1019

Find the area of this triangle. Round to the nearest tenth.

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Problem 1020

4. $11 \frac{c}{-5}-8$

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Problem 1021

Expand and simplify $(x+3)(x-5)$

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Problem 1022

Translate the phrase into an algebraic expression. The product of $x$ and 9

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Problem 1023

Translate the phrase into an algebraic expression. The difference of $c$ and 6

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Problem 1024

Aufgabe 8 : Potenzen mit gleichen Exponenten Vereinfache soweit wie möglich a) $4^{4} 3^{4} \cdot 0,25^{4}$ c) $(x+y)^{8} \cdot(x-y)^{8}$ e) $\frac{24^{3}}{8^{3}}$ g) $\frac{0,4^{2}}{0,5^{2}}$ i) $\frac{27 a^{3}}{8 b^{3}}$ k) $\frac{\left(16 x^{4}-25 y^{2}\right)^{n}}{\left(4 x^{2}-\frac{5}{y}\right)^{n}}$ b) $5^{x} \cdot 4^{x}$ d) $(-x)^{5} \cdot(-y)^{5} \cdot z^{5}$ f) $\frac{2,6^{4}}{1,3^{4}}$ h) $\frac{(12 x)^{m}}{(3 x)^{m}}$ j) $\frac{(2 a+3 b)^{-5}}{\left(4 a^{2} 9 b^{2}\right)^{-5}}$ 1) $\frac{\left(16 r^{4}-24 r^{2} s^{3} 9 s^{6}\right)^{4}}{\left(16 r^{4}-9 s^{6}\right)^{4}}$

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Problem 1025

Given the definite integral $\int_{1}^{2}\left(1-\frac{8}{x^{3}}\right) d x$ : (a) The value of the definite integral is $\square$ . (b) The area of the region bounded by the $x$ -axis, the graph of the function, and the lines $x=1$ and $x=2$ is $\square$

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Problem 1026

$\frac{8-3 i}{4+3 i}$

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Problem 1027

Determine whether each statement describes a mean or a proportion. Explain your reasoning. 5) "A survey asked 1500 American citizens whether they had suffered from food poisoning in the past year. There were 227 survey participants who responded "Yes". Determine a 95\% confidence interval for the probability that a randomly-chosen American has suffered from food poisoning in the past year." 6) "In a sample of 100 members at a certain gym, these members exercised on average 4.2 hours per week with a standard deviation of 0.8 hours. Write a $99 \%$ confidence interval for the amount of exercise hours per week for members at this gym." 7) "A professor believes that the average cost of a textbook is $\$ 175$ . She samples 50 textbooks and determines the average price of those books to be $\$ 180$ with a standard deviation of $\$ 40$ . Test her hypothesis at a confidence level of $90 \%$ ."

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Problem 1028

13. WRITE Math Write a problem that includes multiplying decimals. Explain how you know where to place the decimal in the product.

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Problem 1029

Calculate the value of $(-5)^{3}$

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Problem 1030

Which is the last operation performed when evaluating $(8-2 x)^{2}+4$ for $x=3$ ? addition multiplication subtraction applying the exponent

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Problem 1031

14. Robert wrote the division problem shown. What is the quotient? 1 3 \longdiv { 8 3 . 2 }

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Problem 1032

Spiral Review
15. What is the value of the following expression? $2 \times\{6+[12 \div(3+1)]\}-1$

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Problem 1033

1 2 3 6 7 a 9. 1穓
Which expression is equivalent to $(x y) z$ ? $(x+y)+z$ $2 z(x y)$ $x(y z)$

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Problem 1034

The graph of two functions, f and g , is illustrated below. Use the graph to answer parts (a) through ( f ). (a) $(\mathrm{f}+\mathrm{g})(3)=$ $\square$ (Simplify your answer.)

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Problem 1035

Round the number $91$ to the nearest ten.

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Problem 1036

Which best proves why the expressions $4(x+3)+2 x$ and $6(x+2)$ must be equivalent expressions? When $x=3$ , both expressions have a value of 30 . When $x=5$ , both expressions have a value of 42 . When $x=1$ , both expressions have a value of 18 , and when $x=8$ , both expressions have a value When $x=2$ , both expressions have a value of 15 , and when $x=6$ , both expressions have a value

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Problem 1037

1 2 3 4 5 6 7 8 9 Io
Which expression is equivalent to $7(x y)$ ? $7 x+y$ $7 x-y$ $x(7 y)$ $\frac{x y}{7}$

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Problem 1038

You roll a 6-sided die two times.
What is the probability of rolling a 5 and then rolling a number greater than $2 ?$ Simplify your answer and write it as a fraction or whole number. $\square$ Submit

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Problem 1039

Susan is a magician performing at a birthday party. Susan first performs one of 4 card tricks, which is followed by one of 3 coin tricks. How many different magic shows can Susan perform? $\square$ magic shows

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Problem 1040

Richard is ordering breakfast in a restaurant. There are 7 types of eggs and 3 types of toast to choose from. For the fruit, Richard has 4 options. How many different breakfasts can Richard order? $\square$ breakfasts

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Problem 1041

a) $\begin{array}{l} z=\frac{3}{(\cos (5 \theta)+j \sin (5 \theta))^{2}} \\ z=3 \quad 3 \leadsto(\cos (\square-10 \quad-10 \backsim \theta)+j \sin (\square-10 \quad-10 \backsim \theta)) \end{array}$

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Problem 1042

Question Show Examples
What is the slope of the line that passes through the points $(9,4)$ and $(3,9)$ ? Write your answer in simplest form.
Answer Attempt 1 out of 2

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Problem 1043

Express the following in the form $z=x+y j$ a) $z=\frac{3}{(\cos (5 \theta)+j \sin (5 \theta))^{3}}$

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Problem 1044

Question What is the slope of the line that passes through the points $(8,-8)$ and $(5,-12)$ ? Write your answer in simplest form.

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Problem 1045

$\left(x^{3}+3 x^{2}-5 x\right)-\left(x^{3}-2 x^{2}+x\right)$

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Problem 1046

Simplify each expression.
1. $9 y+4.1-6 y$
2. $-3 x+5+7 x$
3. $8 x+13-3 x+9 \frac{1}{2}$
4. $y^{2}+3 y^{2}$
5. $4 x+15-3 x+10$
6. $-10 x+2 x+8 x$

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Problem 1047

a) Fully factorise $3 y^{2}+11 y+10$ b) Use your answer to part a) to solve $3 y^{2}+11 y+10=0$

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Problem 1048

You pick a card at random, put it back, and then pick another card at random.
What is the probability of picking an even number and then picking a factor of 10 ? Simplify your answer and write it as a fraction or whole number. $\square$ Submit Next up

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Problem 1049

Part A: Rachel used $4 \frac{1}{2}$ cups of apple juice in a holiday fruit punch that serves 12 people. How many cups of apple juice does Rachel use per person?

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Problem 1050

Find the distance between the two points in simplest radical form.

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Problem 1051

Which of the following is the correct expression for the concentration based equilibrium constant for the reaction: $\mathrm{Mg}(\mathrm{OH})_{2}(\mathrm{~s}) \rightleftharpoons \mathrm{Mg}^{2+}(\mathrm{aq})+2 \mathrm{OH}^{-}(\mathrm{aq})$ I. $\mathrm{K}_{\mathrm{C}}=\left[\mathrm{Mg}^{2+}\right]\left[\mathrm{OH}^{-}\right]^{2}$
A II. $\mathrm{K}_{\mathrm{C}}=\frac{\left[\mathrm{Mg}^{2+}\right]\left[\mathrm{OH}^{-}\right]}{\left[\mathrm{Mg}(\mathrm{OH})_{2}\right]}$ III. $\mathrm{K}_{\mathrm{C}}=\frac{\left[\mathrm{Mg}^{2+}\right]\left[\mathrm{OH}^{-}\right]^{2}}{\left[\mathrm{Mg}(\mathrm{OH})_{2}\right]}$
B c IV. $\mathrm{K}_{\mathrm{C}}=\left[\mathrm{Mg}^{2+}\right]\left[\mathrm{OH}^{-}\right]$
D

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Problem 1052

Isabella is going in for a checkup at a large medical clinic. Isabella will meet with one of the 4 physician assistants and be examined by one of the 4 doctors. How many different ways might Isabella have a checkup? $\square$ ways

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Problem 1053

302 Electron Config
11. Write the order of sublevels in electron configuration ( $1 \mathrm{~s} \rightarrow \ldots$ up to at least 3 d ) and state how many electrons can fit in each of the $s, p$ and $d$ sublevels)

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Problem 1054

write $z=\ln ((8+10 j)(7-9 j))$ in the form $z=x+y j$ $z=\square+\square \text { (to 2decimal places) }$

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Problem 1055

\text{Using the chart below, how many total quality points would you receive for an A earned in a 3 credit hour history course?} \\
\text{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.} \\
\text{Dialogue Transcript:} \\
\text{It seems like we're missing some information from the chart that would tell us how to calculate the quality points for an A in a 3 credit hour history course. Typically, quality points are calculated using a scale (like a 4.0 scale where an A is worth 4 points).} \\
\text{Could you please provide the scale or chart details that indicate how many quality points an A is worth in your course? Once we have that, we'll be able to calculate the total quality points.} \\
2 \\
\text{Based on the extracted text and the dialogue transcript, please rewrite the math problem that the Assistant is helping the user to solve. Rewrite it in LaTeX. Do not omit any portion of the original problem. When you have finished writing the problem, type the special keyword:} \texttt{<|END\_OF\_PROBLEM|>}. \text{Just write the problem, do not write anything else.} \\
\text{Problem in LaTeX format:} \\

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Problem 1056

Evaluate. ${ }_{4} C_{2}=$ $\square$ Submit

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Problem 1057

$z = \ln(-10)$ Express in the form of $z = \ln a + bj$ .

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Problem 1058

姣, All factors in your answer should have integer coefficients. $512 w^{3}+27 x^{3}=$ $\square$

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Problem 1059

Video
Ms. Gregory is hiring teachers for the science department at a new high school. There are 3 biology teachers and 8 chemistry teachers to choose from. For the physics teacher, Turner has 4 options. How many different ways can Ms. Gregory hire a staff that includes one teacher in each subject? $\square$ ways Submit

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Problem 1060

B. 1 Write variable expressions D7K
Write an expression for the sequence of operations described below divide the product of $a$ and 8 by 3 Do not simplify any part of the expression.

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Problem 1061

Dashboard
14 Multiple Choice 3.5 points Courses
$14 / 39$ Calendar
-11.4\%
$-12 \%$
$12 \%$ $11.4 \%$

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Problem 1062

㪱, Factor the polynomial. 㸚 Ald factors in your answer should have integer coefficients. $135 p^{3}+5000 q^{3}=$ $\square$ Submit

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Problem 1063

What is the perimeter of the trapezoid? $\square$ units

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Problem 1064

Given: $\overline{A C} \cong \overline{B D}$ and $\angle C A B \cong \angle D B A$ . Prove: $\triangle A B C \cong \triangle B A D$ .
Step
1 try
Statement $\overline{A C} \cong \overline{B D}$ $\angle C A B \cong \angle D B A$
Reason
Given
Type of Statement
Note: $\overline{A C}$ and $\overline{D B}$ are segments.

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Problem 1065

Question 7 (1 point) $\lim _{n \rightarrow \infty} \frac{3 n^{3}-5 n}{n^{3}-2 n^{2}+1}$ A. -5 B. -2 C. 1 D. 3

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Problem 1066

1. $7 \frac{2}{3}+8 \frac{5}{6}$ $\qquad$ 2. $4 \frac{3}{4}+2 \frac{2}{5}$
3. $11 \frac{9}{10}+3 \frac{1}{20}$ $\qquad$ 4. $7 \frac{6}{7}+5 \frac{2}{7}$ $\qquad$
5. $5 \frac{8}{9}+3 \frac{1}{2}$ $\qquad$ 6. $21 \frac{11}{12}+17 \frac{2}{3}$ $\qquad$

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Problem 1067

Troy has $p$ peppermints. Riley has 4 fewer peppermints than Troy. Write an expression that shows how many peppermints Riley has. $\square$ Submit

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Problem 1068

Simplify completely: $\frac{2+\frac{10}{m}}{1-\frac{25}{m^{2}}}$
Enter the numerator and denominator separately in the boxes below. If the denominator is 1 , enter the number 1. Do not leave either box blank. Make sure that the coefficient on the variable is positive. Answer: $\square$ $\square$ Numerator preview:

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Problem 1069

1. Rewrite as the first rational expression [A] by the reciprocal of the second.
2. $[B]$ the numerators and denominators.
3. Multiply the numerators.
4. Multiply the denominators.
5. Simplify.
Choose the words for $[A]$ and $[B]$ that correctly complete the steps. [A] : multiplied $[B]$ : Factor [A] : multiply [B] : Look at [A] : divided [B] : Factor [A] : divided [B] : Look at

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Problem 1070

2) Determine the exact value: (6 marks) $\csc 240^{\circ}$ $\cot 120^{\circ}$

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Problem 1071

Sports American football fields measure 100 yards long between the end zones, and are $53 \frac{1}{3}$ yards wide. Is the length of the diagonal across this field more or less than 120 yards? Explain. $\qquad$

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Problem 1072

7. Evaluate. Express answers in rational form. a) $16^{-1}-2^{-2}$ d) $\left(\frac{1}{5}\right)^{-1}+\left(-\frac{1}{2}\right)^{-2}$

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Problem 1073

NAME
3. Tyler incorrectly says that the constant term of $(x+4)(x-4)$ is zero. a. What is the correct constant term? b. What is Tyler's mistake? Explain your reasoning.
4. Which of these standard form equations is equivalent to $(x+1)(x-2)(x+4)(3 x+7) ?$ a. $x^{4}+10 x^{3}+15 x^{2}-50 x-56$ b. $x^{4}+10 x^{3}+15 x^{2}-50 x+56$ c. $3 x^{4}+16 x^{3}+3 x^{2}-66 x-56$ d. $3 x^{4}+16 x^{3}+3 x^{2}-66 x+56$
5. Select all polynomial expressions that are equivalent to $5 x^{3}+7 x-4 x^{2}+5$ . a. $13 x^{5}$ b. $\quad 5 x^{3}-4 x^{2}+7 x+5$ c. $5 x^{3}+4 x \cdot 2+7 x+5$ d. $5+4 x-7 x^{2}+5 x^{3}$ e. $5+7 x-4 x^{2}+5 x^{3}$

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Problem 1074

Select all the true statements. A. The slope of $m$ is $-\frac{2}{5}$ . B. The slope of $q$ is $-\frac{5}{2}$ . C. The slope of $n$ is $\frac{2}{5}$ . D. The slope of $p$ is $-\frac{5}{2}$ . E. The slope of $p$ is the negative reciprocal of the slope of $q$ .

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Problem 1075

In which number does the value of the digit 7 represent 10 times the value of the digit 7 in 7,000?
A 23,078

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Problem 1076

40) $(7 i)(-5 i)(-2-8 i)$

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Problem 1077

Unit Rates for Ratios with Fractions, Part 2 - Instruction - Clever I Partal
Kara's family is thinking about renting an SUV that can travel $6 \frac{2}{3}$ miles on $\frac{1}{6}$ gallon of gas. Kara wants to know the gas mileage of the SUV.
What is the SUV's gas mileage in miles per gallon? $\frac{\frac{20}{3}}{\frac{1}{6}}=$ $\square$

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Problem 1078

5 Convertis en ha et fais le total. $\left\{\begin{array}{lll} 4 \mathrm{hm}^{2} 3 \mathrm{dam}^{2}=19,50 \mathrm{hm}^{2}= & 72 \mathrm{hm}^{2} \\ 1522,9 \mathrm{dam}^{2}=3558 \mathrm{a} 9 \mathrm{ca}= & 10 \mathrm{~km} \\ 3 \mathrm{~km}^{2} 250 \mathrm{~m}^{2}= & 25504 \mathrm{~m}^{2}= & 85 \mathrm{a} 8 \\ \text { Total }=\ldots . \text { ha }^{2} \text { Total }=\ldots . \mathrm{ha} & \text { Total } \end{array}\right.$

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Problem 1079

2. At significance level $\alpha=0.10$ , determine if the mull hy pothesis should be rejected given the test statistic and p-value. Interpret the result. a. The FDA mandates that the average number of rodent hairs in a sumple of apple butter be no more than 4 hairs. A consumer advocacy group claims that a cerrain brand is violating this standard. The test statistic is found to be 294 and the p-value is 0.0016. b. A report states that doctors are late for $12 \%$ of all appointments. A doctor claims that less than $12 \%$ of his appointments are taken late. The test statistic is found to be -0.44 and the p -value is 0.3299 . c. A company claims it has redesigned light bulbs to last longer. The previous design had an average life of 1200 hours. The test statistic is 2.08 and the $p$ -value is 0.0188

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Problem 1080

Mia buys a 5-pound bag of flour. Now the bag weighs 4 pounds. Write the amount of flour left as a fraction, decimal, and percent.

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Problem 1081

32) $(2-4 i)(-2-4 i)$

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Problem 1082

One rectangle is "framed" within another. Find the area the shaded region if the "frame" is 1 unit wide.

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Problem 1083

26) $(7+5 i)(8+i)$

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Problem 1084

rm the indicated opera $(-4+\sqrt{-9})^{2}$

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Problem 1085

10. Luisa wants to use place-value blocks to show $367+215$ . How many tens blocks will she need to show the sum by regrouping?
A 9 B. 8
C 7 D 6

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Problem 1086

1. A restaurant supply store has 211 large bags of flour, 166 medium bags of flour, and 228 small bags of flour in stock. How many bags of flour does the store have?
A 595 B 596 C 605 D 705

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Problem 1087

Subtract. Be careful on these. $\begin{array}{ll} -3++7=4 & 6--8= \\ 5--9= & 6-8= \\ 8--3= & -6--8= \\ -6--4= & -6-8= \\ -9--6= & \end{array}$ $10--5=$
As you can see, subtraction prob it to an adding $p$ $-10--5=$ to remember to the second nur $\begin{array}{r} 2--9= \\ -2--9= \end{array}$
If $a$ and then

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Problem 1088

9. What subatomic particles are in an ion with atomic number 52, mass number $\mathbf{1 1 0}$ and a charge of 4+?
10. What subatomic particles are in a nitride ion if it has a mass number of $\mathbf{2 0 ?}$ \# $\mathrm{p}^{+}$ : \# of protons? $\# \mathrm{n}^{0}$ : \# $\mathrm{e}^{-}$ : : \# $\mathrm{p}^{+}$ : $\# \mathrm{n}^{0}$ : \# $\mathrm{e}^{-}$ : \# of neutrons? \# of electrons? \# of protons? \# of neutrons? \# of electrons?

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Problem 1089

\begin{tabular}{rrrr} $4-2=$ & $5--3=$ & $-3-4=$ & $-6-2=$ \\ $-6--3=$ & $4-5=$ & $-3--7=$ & $7-6=$ \\ $8--5=$ & $-9--2=$ & $-2-7=$ & $8-4=$ \\ $-5--3=$ & $5-9=$ & $2--7=$ & $9--7=$ \\ $-8-8=$ & $-5--8=$ & $1-9=$ & $-7--7=$ \\ $8--3=$ & $-9-4=$ & $-8--3=$ & $7-9=$ \\ $-6--5=$ & $10--8=$ & $-12--4=$ & $-11-5=$ \\ $12--6=$ & $11--2=$ & $0-5=$ & $-1-1=$ \\ $-11-0=$ & $13--9=$ & $-15--6=$ & $17--8=$ \\ $-16-7=$ & $-13-5=$ & $18--9=$ & $-14-14=$ \\ $14--5=$ & $8-9=$ & $4-8=$ & $0--6=$ \\ $-10-10=$ & $-1--8=$ & $7-7=$ & $-14--4=$ \end{tabular}

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Problem 1090

Whioh protiem wit have the greater quotient, 376.0 - 93 OR 376 + 92.0 . Explain how you know.

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Problem 1091

Syplan itow mav mow

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Problem 1092

Subtract. (Remiember... add the opposite of the bottom number.) \begin{tabular}{r} -5 \\ --6 \\ \hline \end{tabular} \begin{tabular}{r} 6 \\ - \end{tabular} $-$ \begin{tabular}{r} 2 \\ $-\quad 6$ \\ \hline \end{tabular}
O1990 by Key Curtaulum Projec, Inc. O1990 by Key Curnculum Projec, Inc Do not duplicate without permission.

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Problem 1093

12. Find the square root of (a) $5+12 i$

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Problem 1094

2) $8(x+2)$ when $x=6$

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Problem 1095

11. $\qquad$ $(a+3 b)(a+3 b)=$
12. $\qquad$ $(3 x y+6)(3 x y-6)=$
13. $\qquad$ $(m-2)(m-2)=$
14. $\qquad$ $(3 t-2)(3 t-2)=$
15. $\qquad$ $(x-5)(x+5)=$
16. $\qquad$ $\left(8 r^{2} s^{2}-4\right)\left(8 r^{2} s^{2}-4\right)=$
17. $\qquad$ $(a+b)^{2}=$
18. $\qquad$ $(a+b)(a-b)=$
19. $\qquad$ $(2 a b-c)^{2}=$
20. $\qquad$ $(2 a b+c)(2 a b-c)=$

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Problem 1096

22. When the price of an inferior good rise, the substitution effect $\qquad$ the quantity demanded and the income effect $\qquad$ the quantity demanded. A. Decreases; decreases B. Decreases; increases C. Increases; decreases D. Increases; increases sis $x^{2}$ J 1 (o)
Normal

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Problem 1097

From a standard 52-card deck, how many five-card hands consist of one card of one denomination, one card of another denomination, and three cards of a third denomination?
The number of possible hands is $\qquad$ . (Simplify your answer.)

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Problem 1098

Ronnie $\begin{array}{ccccc} 2 & 3 & -6 & -5 & 10 \\ 1 & 6 & 0 & -10 \\ \hline 3 & 0 & -5 & \end{array}$

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Problem 1099

Question Watch Video Show Examples
Assuming $x$ and $y$ are both positive, write the following expression in simplest radical form. $8 x \sqrt{175 x^{5} y^{3}}$

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Problem 1100

d. $\left(-3 x^{4}+6 x^{3}-11 x^{2}+5\right)-\left(5 x^{4}+2 x^{3}-x\right)=$ (Simplify your answer. Do not factor.)

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Expression

Problem 1001

Factor by grouping. x3+9x2−6x−54x3+9x2−6x−54=\begin{array}{l} x^{3}+9 x^{2}-6 x-54 \\ x^{3}+9 x^{2}-6 x-54= \end{array}x3+9x2−6x−54x3+9x2−6x−54=​

Problem 1002

Write down the three forms of the double-angle formula for cosine:

Problem 1003

Problem 1004

Divide 120÷5\frac{1}{20} \div 5201​÷5Enter your answer in the box as a fraction in simplest form. □\square□

Problem 1005

Which figure has a greater area?

Problem 1006

Problem 1007

1. Simplify the complex rational expression: 1x−1−1x1x2−x\frac{\frac{1}{x-1}-\frac{1}{x}}{\frac{1}{x^{2}-x}}x2−x1​x−11​−x1​​ A. 1 B. 2x−1\frac{2}{x-1}x−12​ C. xx−1\frac{x}{x-1}x−1x​ D. x−x2x-x^{2}x−x2 E. None of the above

Problem 1008

A store purchased remote control cars for $15\$ 15$15 and sold them for \$30. What is the markup percentage?Write your answer using a percent sign (\%). □\square□

Problem 1009

Problem 1010

Subtract. Write your answer as a mixed number in simp 567−4375 \frac{6}{7}-4 \frac{3}{7}576​−473​

Problem 1011

3. A turkey with a mass of 5x+105 x+105x+10 is being cooked. If x=2x=2x=2, calculate its mass.

Problem 1012

4. Janet hiked 2.5 miles in one hour. How far did she hike in kilometers? (A) 0.6 km (B) 1.6 km 4.0 km (D) 4.2 km

Problem 1013

Problem 1014

0 of 1 pointIf two 6 -sided dice are rolled, what is the probability that the total of the two dice is 11 ? Express the answer as a fraction. P( sum of two dice =11)=P(\text { sum of two dice }=11)=P( sum of two dice =11)= □\square□

Problem 1015

What is the quotient of 765÷6765 \div 6765÷6 ? 127 12716127 \frac{1}{6}12761​ 12736127 \frac{3}{6}12763​ 128

Problem 1016

One layer of 1 -inch cubes is shown. If 9 layers are stacked, what is the volume of the right ectangular prism formed by the stack?

Problem 1017

Problem 1018

7. To make brown paint, 500 mL of blue paint was mixed with 175 mL of orange paint and 125 mL of red paint. What fraction of the brown paint is made of orange paint?

Problem 1019

Find the area of this triangle. Round to the nearest tenth.

Problem 1020

4. 11c−5−811 \frac{c}{-5}-811−5c​−8

Problem 1021

Expand and simplify (x+3)(x−5)(x+3)(x-5)(x+3)(x−5)

Problem 1022

Translate the phrase into an algebraic expression. The product of xxx and 9

Problem 1023

Translate the phrase into an algebraic expression. The difference of ccc and 6

Problem 1024

Problem 1025

Problem 1026

8−3i4+3i\frac{8-3 i}{4+3 i}4+3i8−3i​

Problem 1027

Problem 1028

13. WRITE Math Write a problem that includes multiplying decimals. Explain how you know where to place the decimal in the product.

Problem 1029

Calculate the value of (−5)3(-5)^{3}(−5)3

Problem 1030

Which is the last operation performed when evaluating (8−2x)2+4(8-2 x)^{2}+4(8−2x)2+4 for x=3x=3x=3 ? addition multiplication subtraction applying the exponent

Problem 1031

14. Robert wrote the division problem shown. What is the quotient? 1 3 \longdiv { 8 3 . 2 }

Problem 1032

Spiral Review15. What is the value of the following expression? 2×{6+[12÷(3+1)]}−12 \times\{6+[12 \div(3+1)]\}-12×{6+[12÷(3+1)]}−1

Problem 1033

1 2 3 6 7 a 9. 1穓Which expression is equivalent to (xy)z(x y) z(xy)z ? (x+y)+z(x+y)+z(x+y)+z 2z(xy)2 z(x y)2z(xy) x(yz)x(y z)x(yz)

Problem 1034

The graph of two functions, f and g , is illustrated below. Use the graph to answer parts (a) through ( f ). (a) (f+g)(3)=(\mathrm{f}+\mathrm{g})(3)=(f+g)(3)= □\square□ (Simplify your answer.)

Problem 1035

Round the number 919191 to the nearest ten.

Problem 1036

Problem 1037

1 2 3 4 5 6 7 8 9 IoWhich expression is equivalent to 7(xy)7(x y)7(xy) ? 7x+y7 x+y7x+y 7x−y7 x-y7x−y x(7y)x(7 y)x(7y) xy7\frac{x y}{7}7xy​

Problem 1038

You roll a 6-sided die two times.What is the probability of rolling a 5 and then rolling a number greater than 2?2 ?2? Simplify your answer and write it as a fraction or whole number. □\square□ Submit

Problem 1039

Susan is a magician performing at a birthday party. Susan first performs one of 4 card tricks, which is followed by one of 3 coin tricks. How many different magic shows can Susan perform? □\square□ magic shows

Problem 1040

Richard is ordering breakfast in a restaurant. There are 7 types of eggs and 3 types of toast to choose from. For the fruit, Richard has 4 options. How many different breakfasts can Richard order? □\square□ breakfasts

Problem 1041

Problem 1042

Question Show ExamplesWhat is the slope of the line that passes through the points (9,4)(9,4)(9,4) and (3,9)(3,9)(3,9) ? Write your answer in simplest form.Answer Attempt 1 out of 2

Problem 1043

Express the following in the form z=x+yjz=x+y jz=x+yj a) z=3(cos⁡(5θ)+jsin⁡(5θ))3z=\frac{3}{(\cos (5 \theta)+j \sin (5 \theta))^{3}}z=(cos(5θ)+jsin(5θ))33​

Problem 1044

Question What is the slope of the line that passes through the points (8,−8)(8,-8)(8,−8) and (5,−12)(5,-12)(5,−12) ? Write your answer in simplest form.

Problem 1045

Factor by grouping. $\begin{array}{l} x^{3}+9 x^{2}-6 x-54 \\ x^{3}+9 x^{2}-6 x-54= \end{array}$

Divide $\frac{1}{20} \div 5$
Enter your answer in the box as a fraction in simplest form. $\square$

1. Simplify the complex rational expression: $\frac{\frac{1}{x-1}-\frac{1}{x}}{\frac{1}{x^{2}-x}}$ A. 1 B. $\frac{2}{x-1}$ C. $\frac{x}{x-1}$ D. $x-x^{2}$ E. None of the above

A store purchased remote control cars for $\$ 15$ and sold them for \$30. What is the markup percentage?
Write your answer using a percent sign (\%). $\square$

Subtract. Write your answer as a mixed number in simp $5 \frac{6}{7}-4 \frac{3}{7}$

3. A turkey with a mass of $5 x+10$ is being cooked. If $x=2$ , calculate its mass.

0 of 1 point
If two 6 -sided dice are rolled, what is the probability that the total of the two dice is 11 ? Express the answer as a fraction. $P(\text { sum of two dice }=11)=$ $\square$

What is the quotient of $765 \div 6$ ? 127 $127 \frac{1}{6}$ $127 \frac{3}{6}$ 128

4. $11 \frac{c}{-5}-8$

Expand and simplify $(x+3)(x-5)$

Translate the phrase into an algebraic expression. The product of $x$ and 9

Translate the phrase into an algebraic expression. The difference of $c$ and 6

$\frac{8-3 i}{4+3 i}$

Calculate the value of $(-5)^{3}$

Which is the last operation performed when evaluating $(8-2 x)^{2}+4$ for $x=3$ ? addition multiplication subtraction applying the exponent

Spiral Review
15. What is the value of the following expression? $2 \times\{6+[12 \div(3+1)]\}-1$

1 2 3 6 7 a 9. 1穓
Which expression is equivalent to $(x y) z$ ? $(x+y)+z$ $2 z(x y)$ $x(y z)$

The graph of two functions, f and g , is illustrated below. Use the graph to answer parts (a) through ( f ). (a) $(\mathrm{f}+\mathrm{g})(3)=$ $\square$ (Simplify your answer.)

Round the number $91$ to the nearest ten.

1 2 3 4 5 6 7 8 9 Io
Which expression is equivalent to $7(x y)$ ? $7 x+y$ $7 x-y$ $x(7 y)$ $\frac{x y}{7}$

You roll a 6-sided die two times.
What is the probability of rolling a 5 and then rolling a number greater than $2 ?$ Simplify your answer and write it as a fraction or whole number. $\square$ Submit

Susan is a magician performing at a birthday party. Susan first performs one of 4 card tricks, which is followed by one of 3 coin tricks. How many different magic shows can Susan perform? $\square$ magic shows

Richard is ordering breakfast in a restaurant. There are 7 types of eggs and 3 types of toast to choose from. For the fruit, Richard has 4 options. How many different breakfasts can Richard order? $\square$ breakfasts

Question Show Examples
What is the slope of the line that passes through the points $(9,4)$ and $(3,9)$ ? Write your answer in simplest form.
Answer Attempt 1 out of 2

Express the following in the form $z=x+y j$ a) $z=\frac{3}{(\cos (5 \theta)+j \sin (5 \theta))^{3}}$

Question What is the slope of the line that passes through the points $(8,-8)$ and $(5,-12)$ ? Write your answer in simplest form.

$\left(x^{3}+3 x^{2}-5 x\right)-\left(x^{3}-2 x^{2}+x\right)$

Simplify each expression.
1. $9 y+4.1-6 y$
2. $-3 x+5+7 x$
3. $8 x+13-3 x+9 \frac{1}{2}$
4. $y^{2}+3 y^{2}$
5. $4 x+15-3 x+10$
6. $-10 x+2 x+8 x$

a) Fully factorise $3 y^{2}+11 y+10$ b) Use your answer to part a) to solve $3 y^{2}+11 y+10=0$

You pick a card at random, put it back, and then pick another card at random.
What is the probability of picking an even number and then picking a factor of 10 ? Simplify your answer and write it as a fraction or whole number. $\square$ Submit Next up

Part A: Rachel used $4 \frac{1}{2}$ cups of apple juice in a holiday fruit punch that serves 12 people. How many cups of apple juice does Rachel use per person?

Isabella is going in for a checkup at a large medical clinic. Isabella will meet with one of the 4 physician assistants and be examined by one of the 4 doctors. How many different ways might Isabella have a checkup? $\square$ ways

302 Electron Config
11. Write the order of sublevels in electron configuration ( $1 \mathrm{~s} \rightarrow \ldots$ up to at least 3 d ) and state how many electrons can fit in each of the $s, p$ and $d$ sublevels)

write $z=\ln ((8+10 j)(7-9 j))$ in the form $z=x+y j$ $z=\square+\square \text { (to 2decimal places) }$

Evaluate. ${ }_{4} C_{2}=$ $\square$ Submit

$z = \ln(-10)$ Express in the form of $z = \ln a + bj$ .

姣, All factors in your answer should have integer coefficients. $512 w^{3}+27 x^{3}=$ $\square$

B. 1 Write variable expressions D7K
Write an expression for the sequence of operations described below divide the product of $a$ and 8 by 3 Do not simplify any part of the expression.

Dashboard
14 Multiple Choice 3.5 points Courses
$14 / 39$ Calendar
-11.4\%
$-12 \%$
$12 \%$ $11.4 \%$

㪱, Factor the polynomial. 㸚 Ald factors in your answer should have integer coefficients. $135 p^{3}+5000 q^{3}=$ $\square$ Submit

What is the perimeter of the trapezoid? $\square$ units

Question 7 (1 point) $\lim _{n \rightarrow \infty} \frac{3 n^{3}-5 n}{n^{3}-2 n^{2}+1}$ A. -5 B. -2 C. 1 D. 3

Troy has $p$ peppermints. Riley has 4 fewer peppermints than Troy. Write an expression that shows how many peppermints Riley has. $\square$ Submit

2) Determine the exact value: (6 marks) $\csc 240^{\circ}$ $\cot 120^{\circ}$

Sports American football fields measure 100 yards long between the end zones, and are $53 \frac{1}{3}$ yards wide. Is the length of the diagonal across this field more or less than 120 yards? Explain. $\qquad$

7. Evaluate. Express answers in rational form. a) $16^{-1}-2^{-2}$ d) $\left(\frac{1}{5}\right)^{-1}+\left(-\frac{1}{2}\right)^{-2}$

Select all the true statements. A. The slope of $m$ is $-\frac{2}{5}$ . B. The slope of $q$ is $-\frac{5}{2}$ . C. The slope of $n$ is $\frac{2}{5}$ . D. The slope of $p$ is $-\frac{5}{2}$ . E. The slope of $p$ is the negative reciprocal of the slope of $q$ .