Expression

Problem 6501

3. $-3 \times 11$

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Problem 6502

For questions 3-5, determine the indefinite integral. Check your work by differentiation
3. $\int\left(\sec ^{2} x-8\right) d x$ \% $\int x^{2} \cos d x-\int 8 d x$ $8 \tan x-8 x$
4. $\int \frac{1}{10 y} d y$ $\int \frac{1}{100} d y$ $\$ 10 \ln |y|$
5. $\int(2 s+7)^{2} d s$ $\begin{array}{l} \int\left(4 s^{2}+28 s+4(9) d s\right. \\ \int x^{n^{-1}} \\ \int \frac{4}{2}-4 s^{2} d s+28 \int s d s+4 \int 49 d s \end{array}$

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Problem 6503

$\sqrt{4 x^{8}}$

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Problem 6504

$\frac{5 \pm \sqrt{c}}{2} \quad$ Practice Divide using synthetic division.
14. $\left(x^{2}+20 x+91\right) \div(x+7)$
16. $\left(x^{4}+x^{3}-1\right) \div(x-2)$
18. $\left(3 x^{4}-2 x^{3}+5 x^{2}-4 x-2\right) \div(x+1)$
15. $\left(x^{3}-9 x^{2}+27 x-28\right) \div(x-3)$
17. $\left(x^{4}-8 x^{2}+16\right) \div(x+2)$
19. $\left(2 x^{3}-2 x-3\right) \div(x-1)$

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Problem 6505

10. $7 \times 8 \times(-9)$

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Problem 6506

Evaluate. $64^{\frac{1}{3}}=$ $\square$ $16^{\frac{1}{4}}=$ $\square$

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Problem 6507

9. [-/4 Points] DETAILS MY NOTES COHENPCALC7 7.3.016.
Evaluate each expression using the method shown in Examples 1-4. (Enter your answers in exact form.) (a) $\cos (2 \pi / 3)$ $\square$ (b) $\cos (-2 \pi / 3)$ $\square$ (c) $\sin (2 \pi / 3)$ $\square$ (d) $\sin (-2 \pi / 3)$ $\square$ Need Help? Read It Submit Answer

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Problem 6508

Simplify completely $\frac{x^{2}-10 x-24}{x^{2}-3 x-108}$ and find the restrictions on the variable. $\frac{x+2}{x+9}, x \neq-2, x \neq-9$ $\frac{x+2}{x+9}, x \neq-9, x \neq 12$ $\frac{x-2}{x-9}, x \neq-2, x \neq-9$ $\frac{x-2}{x-9}, x \neq-9, x \neq 12$

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Problem 6509

Find the length of the hypotenuse of the triangle below. Round the answer to the nearest tenth.

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Problem 6510

2. Explain why multiplying the numbers in each expression gives us the area of the rectangle.

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Problem 6511

$42 \times 3-\left(2^{4}-1\right) \div 5$

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Problem 6512

8. Slope from a Graph (4 marks)
Find the slope of the line in the following scenarios ( 2 marks each): a) Rise $=6$ , Run $=2$ b) Rise $=3$ , Run $=9$

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Problem 6513

Determine the leading term, the leading coefficient, and the degree of the polynomial. Then classify the polynomial as constant, linear, quadratic, cubic, or quartic. $g(x)=-\frac{1}{3} x^{3}-3 x+5$
The leading term of the polynomial is $\square$ (Use integers or fractions for any numbers in the expression.) The leading coefficient of the polynomial is $\square$ (Type an integer or a fraction.) The degree of the polynomtial is $\square$ The polynomial is $\square$

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Problem 6514

(a) $H_{0}: \mu=16, H_{a}: \mu=16$ This pair complies. This pair does not comply because $\mu$ is not a population characteristic. This pair does not comply because both hypotheses use an equal sign. This pair does not comply because the two hypotheses use different numbers. (b) $H_{0}: p=0.5, H_{a}: p>0.6$ This pair complies. This pair does not comply because $p$ is not a population characteristic. This pair does not comply because both hypotheses use an equal sign. This pair does not comply because the two hypotheses use different numbers.

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Problem 6515

7) $15-2=$

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Problem 6516

1. Let $t$ : Green Day is on tour. $r$ : Green Day is recording a new $C D$ .
Nrite in symbolic form: 3 points each a)Green Day is not on tour, but Green Day is recording a new CD. b) Green Day is not recording a new CD and Green Day is on tour.
2. Let p: Maria will go to the circus. q: Maria will go to the zoo. Write in symbolic form: a) Maria will go to the zoo or Maria will not go to the circus. b) Maria will not go to the circus or Maria will not go to the zoo.
3. Let $p$ : The portrait is a pastel. $q$ : The portrait is by Beth Anderson.
Write the following statements symbolically. a) If the portrait is a pastel, then the portrait is by Beth Anderson. b) If the portrait is by Beth Anderson, then the portrait is not a pastel.
Write Equivalent statements. a) If today is Thanksgiving, then tomorrow is Friday. b) I do not pay taxes and I vote. c) A person had cake or they had ice cream.

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Problem 6517

the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1 . All exponer buld be positive. $\log (z)+\log (11)$

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Problem 6518

Correct
Use the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1 . All exponents should be positive. $\ln (x)-\ln (3 z)$

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Problem 6519

$\begin{array}{r} A+B \\ 12(A+B) \end{array}$ CLEAR CHECK
The value of the expression in blue $\square$ the value of the expression in red.
I know this because $\square$

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Problem 6520

5. Construct the truth table for: 6 points each a) $\sim p \vee q$ \begin{tabular}{|l|l|l|l|} \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & \\ \hline & & \\ \hline \end{tabular} b) $\sim(p \vee q)$ \begin{tabular}{|l|l|l|l|} \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular}

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Problem 6521

I'm sorry, but I can't assist with that request.

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Problem 6522

$\{3 x-[y+3 x-(2 y+x)]-2\}-7=$

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Problem 6523

$f'(x) = e^{2-x}(-1+x)$ $f''(x) = -e^{2-x} \cdot (-1+x) + e^{2-x} \cdot (+1)$ $f''(x) = e^{2-x}($

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Problem 6524

b) 24 to base2

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Problem 6525

33. Write the ordered pair that repesents the reflection of point $J$ across the $y$ -axis.

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Problem 6526

7. Convert to base 10 a) $10101_{2}$

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Problem 6527

A large data set includes samples of body temperatures. Analyzing one sample of body temperatures results in $n=103, \bar{x}=98.19^{\circ} \mathrm{F}$ , and $\mathrm{s}=0.617^{\circ} \mathrm{F}$ . It is commonly believed that humans have a mean body temperature of $98.6^{\circ} \mathrm{F}$ . If the analysis is repeated with a different sample and it is found that for 100 randomly generated samples, 38 of these generated samples have a mean that is as extreme as the mean of the actual sample, what should be concluded about the assumed mean of $98.6^{\circ} \mathrm{F}$ ? (Assume that an event is significant if it has a probability of 0.05 or less.)
Since 38 of the 100 samples have means that are as much as the sample mean, then that sample mean $\square$ so there $\square$ strong evidence against the assumed mean of $98.6^{\circ} \mathrm{F}$ . It appears the population mean $\square$ $98.6^{\circ} \mathrm{F}$

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Problem 6528

3. One gallon is equal to about 3.785 liters. What is this amount rounded to the nearest tenth? to the nearest hundredth? Show your work.
Solution Look at problem 3. What is the greatest number of whole liters of water you coul pour into a one-gallon container without it overflowing? Explain your answer.

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Problem 6529

Problems
Assignment 5 -Topics 10 - 12: Problem 4 (1 point)
Consider the indefinite integral $\int \frac{x+4}{(3 x-2)^{2}} d x$ . The substitution $u=3 x-2$ transforms the integral into: $\int \square d u$ (This answer must be a function of $u$ .) Note: You are not asked to evaluate the integral.

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Problem 6530

Multiply. $\begin{array}{l} \sqrt{3}(3-7 \sqrt{3}) \\ \sqrt{3}(3-7 \sqrt{3})= \end{array}$ $\square$ (Simplify your answer. Type an exact answer, using radicals as needed.)

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Problem 6531

$\int_{-1}^{3}\left(3 \sqrt{5+4 x-x^{2}}-6+2 x\right) d x$

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Problem 6532

37. The table shows how many magazines three co-workers sold in one month. How many magazines did they sell in total? 4.NBT.A \begin{tabular}{|l|c|} \hline Name & \begin{tabular}{l} Number of \\ Magazines \end{tabular} \\ \hline Julie & 12 \\ \hline Dion & 0 \\ \hline Calvin & 7 \\ \hline \end{tabular}
402 Need more practice? Download more Extra Practice at connectED.mograw-hill.com.

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Problem 6533

$33_{5}$ to base 2

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Problem 6534

(1 point) $\int_{1}^{4} \frac{x^{5}+3}{x} d x=$ $\square$ Preview My Answers Submit Answers

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Problem 6535

$\text{Fraction Estimate \& Check: Before you solve each problem, look carefully at the fractions and write what you know about the sum or difference. Then find the exact sum or difference. Show all your work. If your answer is greater than 1, write it as a mixed number, not an improper fraction.}$
$3/10 + 4/5$

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Problem 6536

335 to base? $313$

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Problem 6537

a) What subtraction expression does the model show?

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Problem 6538

Consider the integral $\int_{0}^{1} \frac{-1}{\sqrt{1-x^{2}}} d x$
If the integral is divergent, type an upper-case "D". Otherwise, evaluate the integral. $\square$

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Problem 6539

[文], Simplify the expression: $d-9 d+-2 d+-2 d$ $\square$ Submit

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Problem 6540

Multiply and simplify to lowest terms. $\frac{z^{2}-1}{z^{2}-36} \cdot \frac{z-6}{z+1}$

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Problem 6541

Add and simplify to lowest terms. $\frac{y+2}{y-6}+\frac{8 y-56}{y-6}$

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Problem 6542

1)) 竑, Write your answer as a decimal or whole number. $-3 g=$ $\square$ Submit

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Problem 6543

$\begin{array}{r}1111010_{2} \\ -111101_{2} \\ \hline\end{array}$

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Problem 6544

Write a multiplication story for $4 \times 9$ . Then find the product.

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Problem 6545

Evaluate without a calculator: (7 marks) a) $\log _{2} \frac{1}{4}$ b) $\log \frac{1}{3}+(\log 27-\log 9)$ c) $\log 1200-\log 3-\log 4$

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Problem 6546

Write the expression as a single logarithm. $4 \log _{b}(9 y+1)+\frac{1}{2} \log _{b}(y+4)$ ${ }^{\log }(\square)$

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Problem 6547

Sam made $\frac{2}{3}$ liter of punch and $\frac{3}{4}$ liter of tea to take to a party. How many fiters of beverages did Sam bring to the party?

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Problem 6548

Points: 00
Rationalize the denominator. Assume that all expressions under radicals represent $\sqrt{\frac{7 x}{45}}$ $\sqrt{\frac{7 x}{45}}=$ $\square$

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Problem 6549

Mr. Sinofsky used $\frac{5}{8}$ of a tank of gas ah a thip to visit relative or the weekend and another 1 half of a tank commuting to ork the next week. He then took another-weekend trip a ed $\frac{1}{-1}$ tank of gas. How many tanks of gas did Mr. Sinotsk e altogether?

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Problem 6550

Subtract. Write your answer in simp $5 \sqrt{75}-7 \sqrt{3}$

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Problem 6551

Compute the inverse Laplace transform: $\mathcal{L}^{-1}\left\{\frac{-s-6}{s^{2}+4 s+20} e^{-2 s}\right\}=$ $\square$ (Notation: write $\mathbf{u}(\mathbf{t}-\mathbf{c})$ for the Heaviside step function $u_{c}(t)$ with step at $t=c$ .)

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Problem 6552

$7 \frac{7}{8}-3 \frac{3}{8}$

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Problem 6553

Dado $\cos \alpha=\frac{\sqrt{3}}{2}$ , calcular $\operatorname{Sen} 2 \alpha, \operatorname{Cos} 2 \alpha, \operatorname{Tg} 2 \alpha$

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Problem 6554

Dado $\cos \alpha=\frac{\sqrt{3}}{2}$ , calcular $\operatorname{Sen} 2 \alpha, \operatorname{Cos} 2 \alpha, \operatorname{Tg} 2 \alpha$

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Problem 6555

Simplify. Rationalize the denominator. $\frac{9}{5-\sqrt{2}}$

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Problem 6556

Problem 2. (1 point)
Evaluate the integral $\int_{1}^{\sqrt{6}} \frac{1}{1+x^{2}} d x$

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Problem 6557

- This is the only question in this section.
Question Watch Video Show Examples
What is the slope of the line that passes through the points $(2,8)$ and $(12,20)$ ? Write your answer in simplest form.
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 6558

What is the slope of the line that passes through the points $(6,0)$ and $(21,-20)$ ? Write your answer in simplest form.
Answer Atempt lout of 2

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Problem 6559

a. b.

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Problem 6560

Use the distributive property to remove the parentheses. $6(5+u)$

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Problem 6561

The radian is an alternative unit to the degree for angle measurement. True False

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Problem 6562

Question 8 (1 point) The exact radian measure for an angle of $135^{\circ}$ is a) $\pi$ b) $\frac{\pi}{2}$ c) $\frac{3 \pi}{4}$ d) $\frac{\pi}{4}$

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Problem 6563

Simplify. Rationalize the denominator. $\frac{-2}{4+\sqrt{15}}$

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Problem 6564

Think about the division expression $2 \frac{1}{5} \div \frac{3}{5}$ . The fraction $\frac{3}{5}$ fits into $2 \frac{1}{5}$ more than 1 time. That means the quotient is greater than 1.
Find the quotient. You can use the model to help. $2 \frac{1}{5} \div \frac{3}{5}=$ $\square$

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Problem 6565

Convert these numbers to scientific notation: 0.000000796, 32640000000000000, 8900000000000, 0.000047. Then convert to standard form: $5.9 \times 10^{10}$ , $8.983 \times 10^{-7}$ , $7.04 \times 10^{-11}$ , $6.1378 \times 10^{4}$ .

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Problem 6566

Identify significant figures in these values and round the numbers as indicated:
1. a) 1,234, b) 0.023, c) 890, d) 0.000120, e) 1090.0010, f) \ $1,020,010\$, g)$ 9.010 \times 10^{-2}$, h) 1,000.
2. Round: a) $215.891(4)$ , b) $34,509(3)$ , c) 34 (1), d) 0.0047845 (3), e) 0.0399985 (2), f) \$0.0354800(5)\$.

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Problem 6567

Simplify $(0.4)^{3}$ . Choose the correct answer: 0.64, 1.2, 12, or 0.064.

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Problem 6568

Find the sale price of jeans originally priced at \$40 with a 25% discount. Which expression represents the sale price?

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Problem 6569

Simplify the expression by combining like terms: $2(3x + 2) + (2y + 1)$ .

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Problem 6570

Simplify the expression $-5x - 1 - 6x - 5 - 6x$ .

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Problem 6571

Simplify the expression: $\frac{5^{2}-4}{5+2}$ (1 point)

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Problem 6572

Calculate $\beta^{3}-4+20 \div 4$ for $r=4$ and $t=2$ . Choose from: 9, 72, 6, 40.

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Problem 6573

Evaluate $t^{3} - r + 20 \div r$ for $r=4$ and $t=2$ . Options: 9, 72, 6, 40.

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Problem 6574

Simplify the expression: $3\left(x^{2}+5 x+5\right)-\left(x^{2}+3 x+1\right)$ .

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Problem 6575

Simplify the expression: $2(2a - 5) - (a - 3)$ . What is the result?

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Problem 6576

Simplify the expression: $(2 x^{2}-4 x+1)+(5 x+x^{2}-1)$ .

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Problem 6577

Find the equation of the line at the point $(x=-4, y=4)$ and simplify: $-5x - 2y + 9$ .

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Problem 6578

Calculate and round the following with proper significant figures and units:
a) $9.0 \mathrm{~cm}+10.38 \mathrm{~cm}$ b) $3.6 \mathrm{~g} / 3 \mathrm{~mL}$ c) $12.01 \mathrm{~m} \times 4.0 \mathrm{~m}$ d) $59 \mathrm{~mL}-58.38 \mathrm{~mL}$ e) $24 \mathrm{~g} / 2.02 \mathrm{~mL}$ f) $10 \mathrm{~cm} \times 5.5 \mathrm{~cm} \times 18 \mathrm{~cm}$ g) $\left(3.26 \times 10^{-2}\right) \times\left(5.7 \times 10^{-8}\right)$ h) $2.34 \times 10^{3}+5.6 \times 10^{3}$ i) $1.23 \times 10^{5} \div 4.5 \times 10^{-2}$

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Problem 6579

Find the value of $\sqrt[3]{\frac{27}{1000}}$ . Format fractions as $a / b$ .

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Problem 6580

How many neutrons are in a Cerium atom with an atomic mass of 140?

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Problem 6581

How many electrons are in a Xenon (Xe) atom with atomic number 54?

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Problem 6582

Multiply and simplify: $\frac{1}{4} \cdot \frac{3}{4} \cdot \frac{2}{3}$ . What is the answer?

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Problem 6583

Divide and simplify: $\frac{5}{8} \div \frac{1}{7} =$

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Problem 6584

Identify equivalent expressions to $2(b+3 c)$ from the following options: $3(b+2 c)$ , $(b+3 c)+(b+3 c)$ , $2(b)+2(3 c)$ .

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Problem 6585

Calculate $\frac{g(0)}{f(0)}$ for $f(x)=3x^2+4x+2$ and $g(x)=6x+1$ . Options: $2/1$ , 21, 2, $1/2$ .

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Problem 6586

Identify equivalent expressions to $4(4 a+5)$ . Select 3: $16 a+5$ , $16 a+20$ , $12 a+20+4 a$ , $2(8 a+10)$ , $16 a+5+4$ .

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Problem 6587

Multiply: $\frac{3}{4} \cdot \frac{3}{5}$

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Problem 6588

Calculate the area of a rectangle with length $\frac{9}{4}$ and width $\frac{9}{11}$ .

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Problem 6589

Find the current density in $\frac{A}{\mathrm{m}^{2}}$ if the average is 1 A/dm².

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Problem 6590

Convert 26.2 miles to inches using 1 foot = 12 inches and 1 mile = 5,280 feet.

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Problem 6591

Mia paints walls at $12 \frac{\mathrm{m}^{2}}{\mathrm{h}}$ . What is her rate in $\frac{\mathrm{cm}^{2}}{\min}$ ?

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Problem 6592

Divide and simplify: $8 \div 3 \frac{6}{7}$ . Provide your answer as a whole number, proper fraction, or mixed number.

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Problem 6593

Find the density of glass with $2.5 \frac{\mathrm{g}}{\mathrm{cm}^{3}}$ in $\frac{\mathrm{kg}}{\mathrm{m}^{3}}$ .

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Problem 6594

What was the population density of Rio de Janeiro in 2016 in people per square meter if it was $5377 \frac{\text { people }}{\mathrm{km}^{2}}$ ? $0.5377 \frac{\text { people }}{\mathrm{m}^{2}}$

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Problem 6595

What is the batting's thermal conductivity in $\frac{\mathrm{W}}{\mathrm{cm} \cdot{ }^{\circ} \mathrm{C}}$ if it's 0.03 $\mathrm{W/m} \cdot{ }^{\circ} \mathrm{C}$ ?

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Problem 6596

Find the expression equivalent to $3(7 c+1)$ . Options: $7 c+3$ , $3 c+21$ , $21 c+3$ , $21 c+1$ .

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Problem 6597

Find the expression equivalent to $7(-3 t)$ . Options: $7-3 t$ , $t(-3 \cdot 7)$ , $7(t-3)$ , $t-21$ .

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Problem 6598

Find the expression equivalent to $4(4 a+6)$ . Options: $16 a+24$ , $4(6 a+4)$ , $24 a+16$ , $16 a+6$ .

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Problem 6599

Choose the expressions equivalent to $8(3 x+1)$ : $3 x+8$ , $(3 x+1) 8$ , $24 x+8$ , $8(1+3 x)$ .

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Problem 6600

Convert the mixed number 3 1/6 to an improper fraction.

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1 ...63 64 65 66 67 68 69 ...144

Expression

Problem 6501

3. −3×11-3 \times 11−3×11

Problem 6502

Problem 6503

4x8\sqrt{4 x^{8}}4x8​

Problem 6504

Problem 6505

10. 7×8×(−9)7 \times 8 \times(-9)7×8×(−9)

Problem 6506

Evaluate. 6413=64^{\frac{1}{3}}=6431​= □\square□ 1614=16^{\frac{1}{4}}=1641​= □\square□

Problem 6507

Problem 6508

Problem 6509

Find the length of the hypotenuse of the triangle below. Round the answer to the nearest tenth.

Problem 6510

2. Explain why multiplying the numbers in each expression gives us the area of the rectangle.

Problem 6511

42×3−(24−1)÷542 \times 3-\left(2^{4}-1\right) \div 542×3−(24−1)÷5

Problem 6512

8. Slope from a Graph (4 marks)Find the slope of the line in the following scenarios ( 2 marks each): a) Rise =6=6=6, Run =2=2=2 b) Rise =3=3=3, Run =9=9=9

Problem 6513

Problem 6514

Problem 6515

7) 15−2=15-2=15−2=

Problem 6516

Problem 6517

the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1 . All exponer buld be positive. log⁡(z)+log⁡(11)\log (z)+\log (11)log(z)+log(11)

Problem 6518

CorrectUse the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1 . All exponents should be positive. ln⁡(x)−ln⁡(3z)\ln (x)-\ln (3 z)ln(x)−ln(3z)

Problem 6519

A+B12(A+B)\begin{array}{r} A+B \\ 12(A+B) \end{array}A+B12(A+B)​ CLEAR CHECKThe value of the expression in blue □\square□ the value of the expression in red.I know this because □\square□

Problem 6520

Problem 6521

I'm sorry, but I can't assist with that request.

Problem 6522

{3x−[y+3x−(2y+x)]−2}−7=\{3 x-[y+3 x-(2 y+x)]-2\}-7={3x−[y+3x−(2y+x)]−2}−7=

Problem 6523

f′(x)=e2−x(−1+x)f'(x) = e^{2-x}(-1+x)f′(x)=e2−x(−1+x) f′′(x)=−e2−x⋅(−1+x)+e2−x⋅(+1)f''(x) = -e^{2-x} \cdot (-1+x) + e^{2-x} \cdot (+1)f′′(x)=−e2−x⋅(−1+x)+e2−x⋅(+1) f′′(x)=e2−x(f''(x) = e^{2-x}(f′′(x)=e2−x(

Problem 6524

b) 24 to base2

Problem 6525

33. Write the ordered pair that repesents the reflection of point JJJ across the yyy-axis.

Problem 6526

7. Convert to base 10 a) 10101210101_{2}101012​

Problem 6527

Problem 6528

Problem 6529

Problem 6530

Multiply. 3(3−73)3(3−73)=\begin{array}{l} \sqrt{3}(3-7 \sqrt{3}) \\ \sqrt{3}(3-7 \sqrt{3})= \end{array}3​(3−73​)3​(3−73​)=​ □\square□ (Simplify your answer. Type an exact answer, using radicals as needed.)

Problem 6531

∫−13(35+4x−x2−6+2x)dx\int_{-1}^{3}\left(3 \sqrt{5+4 x-x^{2}}-6+2 x\right) d x∫−13​(35+4x−x2​−6+2x)dx

Problem 6532

Problem 6533

33533_{5}335​ to base 2

Problem 6534

(1 point) ∫14x5+3xdx=\int_{1}^{4} \frac{x^{5}+3}{x} d x=∫14​xx5+3​dx= □\square□ Preview My Answers Submit Answers

Problem 6535

Problem 6536

335 to base? 313313313

Problem 6537

a) What subtraction expression does the model show?

Problem 6538

Consider the integral ∫01−11−x2dx\int_{0}^{1} \frac{-1}{\sqrt{1-x^{2}}} d x∫01​1−x2​−1​dxIf the integral is divergent, type an upper-case "D". Otherwise, evaluate the integral. □\square□

Problem 6539

[文], Simplify the expression: d−9d+−2d+−2dd-9 d+-2 d+-2 dd−9d+−2d+−2d □\square□ Submit

Problem 6540

Multiply and simplify to lowest terms. z2−1z2−36⋅z−6z+1\frac{z^{2}-1}{z^{2}-36} \cdot \frac{z-6}{z+1}z2−36z2−1​⋅z+1z−6​

Problem 6541

Add and simplify to lowest terms. y+2y−6+8y−56y−6\frac{y+2}{y-6}+\frac{8 y-56}{y-6}y−6y+2​+y−68y−56​

Problem 6542

1)) 竑, Write your answer as a decimal or whole number. −3g=-3 g=−3g= □\square□ Submit

Problem 6543

11110102−1111012\begin{array}{r}1111010_{2} \\ -111101_{2} \\ \hline\end{array}11110102​−1111012​​​

Problem 6544

Write a multiplication story for 4×94 \times 94×9. Then find the product.

Problem 6545

Evaluate without a calculator: (7 marks) a) log⁡214\log _{2} \frac{1}{4}log2​41​ b) log⁡13+(log⁡27−log⁡9)\log \frac{1}{3}+(\log 27-\log 9)log31​+(log27−log9) c) log⁡1200−log⁡3−log⁡4\log 1200-\log 3-\log 4log1200−log3−log4

Problem 6546

Write the expression as a single logarithm. 4log⁡b(9y+1)+12log⁡b(y+4)4 \log _{b}(9 y+1)+\frac{1}{2} \log _{b}(y+4)4logb​(9y+1)+21​logb​(y+4) log⁡(□){ }^{\log }(\square)log(□)

3. $-3 \times 11$

$\sqrt{4 x^{8}}$

10. $7 \times 8 \times(-9)$

Evaluate. $64^{\frac{1}{3}}=$ $\square$ $16^{\frac{1}{4}}=$ $\square$

$42 \times 3-\left(2^{4}-1\right) \div 5$

8. Slope from a Graph (4 marks)
Find the slope of the line in the following scenarios ( 2 marks each): a) Rise $=6$ , Run $=2$ b) Rise $=3$ , Run $=9$

7) $15-2=$

the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1 . All exponer buld be positive. $\log (z)+\log (11)$

Correct
Use the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1 . All exponents should be positive. $\ln (x)-\ln (3 z)$

$\begin{array}{r} A+B \\ 12(A+B) \end{array}$ CLEAR CHECK
The value of the expression in blue $\square$ the value of the expression in red.
I know this because $\square$

$\{3 x-[y+3 x-(2 y+x)]-2\}-7=$

$f'(x) = e^{2-x}(-1+x)$ $f''(x) = -e^{2-x} \cdot (-1+x) + e^{2-x} \cdot (+1)$ $f''(x) = e^{2-x}($

33. Write the ordered pair that repesents the reflection of point $J$ across the $y$ -axis.

7. Convert to base 10 a) $10101_{2}$

Multiply. $\begin{array}{l} \sqrt{3}(3-7 \sqrt{3}) \\ \sqrt{3}(3-7 \sqrt{3})= \end{array}$ $\square$ (Simplify your answer. Type an exact answer, using radicals as needed.)

$\int_{-1}^{3}\left(3 \sqrt{5+4 x-x^{2}}-6+2 x\right) d x$

$33_{5}$ to base 2

(1 point) $\int_{1}^{4} \frac{x^{5}+3}{x} d x=$ $\square$ Preview My Answers Submit Answers

335 to base? $313$

Consider the integral $\int_{0}^{1} \frac{-1}{\sqrt{1-x^{2}}} d x$
If the integral is divergent, type an upper-case "D". Otherwise, evaluate the integral. $\square$

[文], Simplify the expression: $d-9 d+-2 d+-2 d$ $\square$ Submit

Multiply and simplify to lowest terms. $\frac{z^{2}-1}{z^{2}-36} \cdot \frac{z-6}{z+1}$

Add and simplify to lowest terms. $\frac{y+2}{y-6}+\frac{8 y-56}{y-6}$

1)) 竑, Write your answer as a decimal or whole number. $-3 g=$ $\square$ Submit

$\begin{array}{r}1111010_{2} \\ -111101_{2} \\ \hline\end{array}$

Write a multiplication story for $4 \times 9$ . Then find the product.

Evaluate without a calculator: (7 marks) a) $\log _{2} \frac{1}{4}$ b) $\log \frac{1}{3}+(\log 27-\log 9)$ c) $\log 1200-\log 3-\log 4$

Write the expression as a single logarithm. $4 \log _{b}(9 y+1)+\frac{1}{2} \log _{b}(y+4)$ ${ }^{\log }(\square)$

Sam made $\frac{2}{3}$ liter of punch and $\frac{3}{4}$ liter of tea to take to a party. How many fiters of beverages did Sam bring to the party?

Points: 00
Rationalize the denominator. Assume that all expressions under radicals represent $\sqrt{\frac{7 x}{45}}$ $\sqrt{\frac{7 x}{45}}=$ $\square$

Mr. Sinofsky used $\frac{5}{8}$ of a tank of gas ah a thip to visit relative or the weekend and another 1 half of a tank commuting to ork the next week. He then took another-weekend trip a ed $\frac{1}{-1}$ tank of gas. How many tanks of gas did Mr. Sinotsk e altogether?

Subtract. Write your answer in simp $5 \sqrt{75}-7 \sqrt{3}$

$7 \frac{7}{8}-3 \frac{3}{8}$

Dado $\cos \alpha=\frac{\sqrt{3}}{2}$ , calcular $\operatorname{Sen} 2 \alpha, \operatorname{Cos} 2 \alpha, \operatorname{Tg} 2 \alpha$

Dado $\cos \alpha=\frac{\sqrt{3}}{2}$ , calcular $\operatorname{Sen} 2 \alpha, \operatorname{Cos} 2 \alpha, \operatorname{Tg} 2 \alpha$

Simplify. Rationalize the denominator. $\frac{9}{5-\sqrt{2}}$

Problem 2. (1 point)
Evaluate the integral $\int_{1}^{\sqrt{6}} \frac{1}{1+x^{2}} d x$

- This is the only question in this section.
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What is the slope of the line that passes through the points $(2,8)$ and $(12,20)$ ? Write your answer in simplest form.
Answer Attempt 1 out of 2 $\square$ Submit Answer

What is the slope of the line that passes through the points $(6,0)$ and $(21,-20)$ ? Write your answer in simplest form.
Answer Atempt lout of 2

Use the distributive property to remove the parentheses. $6(5+u)$

Question 8 (1 point) The exact radian measure for an angle of $135^{\circ}$ is a) $\pi$ b) $\frac{\pi}{2}$ c) $\frac{3 \pi}{4}$ d) $\frac{\pi}{4}$

Simplify. Rationalize the denominator. $\frac{-2}{4+\sqrt{15}}$

Simplify $(0.4)^{3}$ . Choose the correct answer: 0.64, 1.2, 12, or 0.064.

Simplify the expression by combining like terms: $2(3x + 2) + (2y + 1)$ .

Simplify the expression $-5x - 1 - 6x - 5 - 6x$ .

Simplify the expression: $\frac{5^{2}-4}{5+2}$ (1 point)

Calculate $\beta^{3}-4+20 \div 4$ for $r=4$ and $t=2$ . Choose from: 9, 72, 6, 40.

Evaluate $t^{3} - r + 20 \div r$ for $r=4$ and $t=2$ . Options: 9, 72, 6, 40.

Simplify the expression: $3\left(x^{2}+5 x+5\right)-\left(x^{2}+3 x+1\right)$ .