Solve

Problem 401

![](https://cdn.mathpix.com/cropped/2024_09_05_51fb8b8bdfab6bfdfe75g.jpg?height=665&width=2098&top_left_y=68&top_left_x=377)
Find the mean of each data set
Mean of datata set Ay $\square$

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Problem 402

2.If your Chromebook is dropped from a height of 45 feet on the planet Newton, its height (in feet) after $t$ seconds is approximately $h(t)=45-14 t^{2}$ . How long does it take for the book to hit the surface of the planet? Round your answer to the nearest tenth.

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Problem 403

vame: 23 Ms. Blankenship had $\$ 80$ to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick cost 31.40 , and each box of crayons cost 50,59 . How much money did Ms. Blankenship have left after these purchases?

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Problem 404

Lames plas on a basketball heam his team scores 114 points in the first game and 10.1 points in the second game. In mo games, he scored $\frac{?}{?}$ of the total number of points his leam scored What thas the total number of point James scored in these nvo games?

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Problem 405

4. Andrea has a container in the shape of a rectangular prism that she uses for blueberry picking. If the blueberries fill the container to a height of 15 centimeters. what is the volume of the blueberries in the container? Show your work.

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Problem 406

Lesson $1.1 \sim$ Adding and Subtracting Decimats Name $\qquad$ Period $\qquad$ Date $\qquad$ 3 Find ouch sum.
1. $6.57+5.32$
2. $4.05+7.95$
3. $9.812+8.4$ \ $.$ 10.002+0.308 $<br />5.$ 3.9+5.334 $<br />6.$ 15.300+5.813 $<br />7. Celia bought a camera for$ \ $158,96$ and a scrapbook for $\$ 38,75$ . How much did she spend altogether?
Find each difference.
8. $8.6-5.5$
9. $7.983-3.87$
10. $16.35-10.983$
11. $20.4-13.94$
12. $70.54-35.36$
13. $33.333-22.555$ -
14. A rectangle had a length of 4.5 units and a width of 2.67 units. How much longer was th length of the rectangle than its width?
Find each sum or difference.
15. $88.4+15.65$
16. $91.001-50.953$
17. $37.203-29.8$ 1 C 4 25,1 5 3 3 $\qquad$

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Problem 407

$(\sqrt{16}-\sqrt{4}) \cdot 2^{4}+4^{33}: 4^{31}=$

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Problem 408

$-4.05+3.18$

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Problem 409

2) $\sqrt[5]{32}+(14-2)^{2}: \sqrt{144}=$

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Problem 410

Initial Knowledge Check Question 5
How much of the circle is shaded? Write your answer as a fraction in simplest form. $\frac{1}{3}$ $\frac{2}{7}$

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Problem 411

$30:(4-14)+(-8: 2-3) \cdot 2=$

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Problem 412

$30:(4-14)+(-8: 2-3) \cdot 2=$

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Problem 413

What is the surface area of the right cone below? A. $496 \pi$ units $^{2}$ B. $248 \pi$ units $^{2}$ C. $184 \pi$ units $^{2}$ D. $304 \pi$ units $^{2}$

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Problem 414

$30:(4-14)+(-8: 2-3) \cdot 2=$

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Problem 415

2) $92 \times 75=$

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Problem 416

c lattice multiplication to solve each problem 2) $92 \times 75$

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Problem 417

Compute. $49.83-4.61+6$

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Problem 418

(7) Halla el término que falta para que fracciones sean equivalentes. $\begin{array}{ll} \frac{2}{3}=\frac{8}{19} & \cdot \frac{5}{7}=\frac{\square}{35} \\ \cdot \frac{2}{9}=\frac{10}{45} & \cdot \frac{4}{\square}=\frac{28}{49} \end{array}$

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Problem 419

The line $x+5 y+22=0$ intersects the circle $x^{2}+y^{2}+4 x+8 y-6=0$ at the point $A$ and $B$ . Find the coordinates of $A$ and $B$ . Answer a. $A(7,-3), B(3,5)$ b. $A(7,-3), B(3,-5)$ c. $A(6,-3), B(3,-7)$ d. $A(6,-3), B(3,-7)$

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Problem 420

A line passes through the points $(1,2)$ and $(5,10)$ . Find its gradient.

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Problem 421

d In how many wonys can glasgow mattsematics society form a maths olymptaia team of ubors and 3 girls if they are to chose from 7 boy and 5 girls.

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Problem 422

Perform the indicated multiplication. $\begin{array}{c} 6(-9) \\ 6(-9)= \end{array}$

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Problem 423

Tatenda has a circle with an equation $x^{2}+y^{2}-8 x+4 y+4=0$ . Find the coordinates of the centre of this circle.

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Problem 424

Find the values of $x$ that satisfy the inequalities. (Enter your answer using interval notation.) $x+1>6 \text { or } x+4<-1$

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Problem 425

$(4-7)^{2}+\sqrt{2 \cdot 8+9}-(32: 8-6)^{3}+(-2-8)=$

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Problem 426

Solve the Absolute Value Equation T2ES1
Solve each equation. 1) $|x-3|=5$ 2) $|x+7|=2$ 3) $\left|\frac{2}{3}-x\right|=1$
Solution $=$ Solution $=$ Solution $=$

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Problem 427

A line passes through the points $(1,2)$ and $(5,10)$ . Find its gradient.

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Problem 428

5) $|-x+9|=3$
Solution $=$

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Problem 429

The point $K$ is the midpoint of $\overline{J L}$ . Find the location of $J$ .
Location of $J$ $\square$

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Problem 430

Solve for $y$ . $4+3 y=10$
Simplify your answer as much as possible. $y=$ $\square$

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Problem 431

Find the real roots of the equation by factorin $x^{2}+x-56=0$

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Problem 432

The point $X$ is the midpoint of $\overline{W Y}$ . Find the location of $Y$ .
Location of $Y$ : $\square$

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Problem 433

Solve for $y$ . $2(3 y+7)=68$
Simplify your answer as much as possible. $y=$

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Problem 434

$\frac{1}{6}-\frac{3}{5}=$ $\square$ (Type an integer or a simplifed fraction.)

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Problem 435

Solve for $x$ $\frac{3 x+14}{4}=2$
Simplify your answer as much as possible. $x=$ $\square$

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Problem 436

Evaluate the following exponential expression. $\begin{array}{c} (-8)^{2} \\ (-8)^{2}= \end{array}$ $\square$

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Problem 437

Evaluate the following exponential expression. $\begin{array}{c} (-1)^{3} \\ (-1)^{3}= \end{array}$

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Problem 438

2. Which of the following fractions is the largest? a. $3 / 5$ b. $9 / 8$ c. $6 / 11$ d. $7 / 19$ Mark to review later...

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Problem 439

3. The sum of $191 / 4,21,4,26,9$ , and 21 is closest to which of the following? a. 91 b. 97 c. 100 d. 102 Mark to review later...

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Problem 440

5. Solve the following equation: $(-175+136)+(64-21)=$ a. -82 b. -4 c. 4 d. 82 Mark to review later...

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Problem 441

4. $\$ 327.45$ subtracted from $\$ 572.98$ is closest to which of the following? a. $\$ 240.99$ b. $\$ 245.57$ c. $\$ 247.18$ d. $\$ 248.99$ Mark to review later...

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Problem 442

12. 15 is what percent of 60 ? a. $4.5 \%$ b. $9 \%$ c. $12.5 \%$ d. $25 \%$ Mark to review later...

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Problem 443

What is the surface area? square yards

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Problem 444

Assigament 3.1 Find the derivative without using a calculator.
1. $y=(3 x+5)^{3}$
2. $f(x)=3(7 x+5)^{4}$
3. $y=\sqrt{2-3 x}$
4. $f(t)=\frac{1}{(1-t)^{2}}$
5. $y=\sqrt{\left(x^{2}+1\right)^{2}}$
6. $g(x)=x(2 x+3)^{3}$
7. $y=\frac{1}{\sqrt{x+1}}$
8. $f(x)=\frac{3 x-2}{x+1}$
9. $g(x)=\sec (4 x)$
10. $y=4 \tan (2 x)$
11. $f(\theta)=\frac{1}{2} \sin ^{2}(3 \theta)$
12. $y=\sqrt{\frac{4 x^{3}-2 x}{2 x}}$
Find an equation of the line tangent to the graph of $f$ at the given point without using a calculator.
13. $f(x)=\sqrt{2 x^{2}+2}$ at $(-1,2)$
15. $f(x)=\frac{1}{\sqrt{(9 x)^{3}}}$ at $\left(\frac{1}{7}+\frac{5}{27}\right)$
14. $f(x)=\frac{x+4}{x}$ at $(2,3)$
16. $f(x)=\frac{1}{x^{2}}+\sqrt{\cos x}$ at $\left(2 \pi, \frac{1}{4 \pi^{2}}+1\right)$
Find the indicated derivatives.
17. $\frac{d}{d x}(2 \sin x-3)^{4}$
18. $\frac{d^{2}}{d t^{2}}\left(t^{2}-1\right)^{\frac{3}{2}}$
19. Find the point(s) at which a line tangent to the graph of $f(x)=(2 x-3)^{\text {s }}$ is parallel to the graph of $y=24 x-7$ . You may use a calculator.
20. If $g(x)=(f(x))^{3}, f(1)=2$ , and $f^{\prime}(1)=4$ , find $g^{\prime}(1)$
21. Given these values \begin{tabular}{|c|c|c|c|c|} \hline $x$ & $f(x)$ & $g(x)$ & $f^{\prime}(x)$ & $g^{\prime}(x)$ \\ \hline 2 & 3 & 2 & -1 & 4 \\ \hline 3 & -2 & $\frac{1}{2}$ & 6 & 5 \\ \hline \end{tabular} find the following derivatives. a. $\frac{d}{d x} g(f(x))$ at $x=2$ c. $\frac{d}{d x} \sqrt{g(x)}$ at $x=2$ b. $\frac{d}{d r}(g(x) f(x))$ at $x=2$ d. $\frac{d}{d x} \frac{g(x)}{f(x)}$ at $x=2$

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Problem 445

. 2 The letters that form the word MATHEMATICS are arranged as shown below on separate cards. 11.2.1 How many other "words" can be arranged using all these cards? 11.2.2 What is the probability that a "word" made, has all the vowels above next

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Problem 446

1. Find the 11 th term of the geometric sequence. $-17,-17,-17, \ldots$
3. Find the 10 th term of the geometric sequence. $17,34,68, \ldots$
5. Find the 8 th term of the geometric sequence. $11,33,99, \ldots$
7. Find the 12 th term of the geometric sequence. $-16,-32,-64, \ldots$
2. Find the 11th term of the geometric sequence. $-15,45,-135, \ldots$
4. Find the 8 th term of the geometric sequence. $-1,-2,-4, \ldots$
6. Find the 8 th term of the geometric sequence. $1,-2,4, \ldots$
8. Find the 7 th term of the geometric sequence. $-10,20,-40, \ldots$

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Problem 447

What is the volume? cubic centimeters

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Problem 448

2. A package of crackers weighing 8.2 ounces costs $\$ 2.87$ . What is the cost per ounce of crackers?

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Problem 449

Given the digits $1,2,5,6$ , and 9 . a. How many 3 -digit numbers can be formed from these digits if no two digits are to be the same? b. Of the numbers formed in (a) how many are even? How many are odd? How many are greater than 600 ? c. How many numbers can be formed if digit may be repeated?

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Problem 450

$A$ और $C$ मिलकर एक काम को जितने समरा नें खत्म करते हैं B उसके तीन गुने समय में काम को समाप्त करता है तथा $A$ और $B$ मिलकर काम को जितने समय में करते हैं, C उसके दो गुने समय में काम खत्म करता है। तीनों मिलकर काम को 10 दिनों में समाप्त करते हैं, तो $A$ काम को कितने दिनों में समाप्त करेगा ?

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Problem 451

(a) It is given that $M=\left(\begin{array}{ll}3 & 9 \\ 2 & 7\end{array}\right)$ and $N=\left(\begin{array}{ll}5 & -1 \\ 4 & -6\end{array}\right)$ . (i) Find $M^{-1}$ , the inverse of Matrix $M$
Answer: (i) (ii) Find matrix $P$ such that $2 P+N=\left(\begin{array}{cc}7 & 3 \\ 4 & -4\end{array}\right)$ .

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Problem 452

Find the sum $\sum_{0 \leq \leq k \leq 20} \sum_{1} 1$ .

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Problem 453

2. There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran $2 \frac{1}{2}$ miles. a. How many feet is that? b. How many inches is that?

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Problem 454

$A$ और $C$ मिलकर एक काम को जितने समार नें खत्म करते हैं $B$ उसके तीन गुने समय में काम को समाप्त करता है तथा $A$ और $B$ मिलकर काम को जितने समय में करते हैं, $C$ उसके दो गुने समय में काम खत्म करता है। तीनों मिलकर काम को 10 दिनों में समाप्त करते हैं, तो $A$ काम को कितने दिनों में समाप्त करेगा ?

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Problem 455

Solve the following inequality. $5[5 m-(m+8)]>-4(m-1)$
Select the correct choice below and fill in the answer box to' complete your choice. A. The solution set is $\{m \mid m>$ $\square$ B. The solution set is $\{m \mid m \leq$ $\square$ C. The solution set is $\{\mathrm{m} / \mathrm{m} \geq$ $\square$ \}. D. The solution set is $\{\mathrm{m} / \mathrm{m}<$ $\square$ \}.

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Problem 456

$\int \sec (1-z) \tan (1-z) d z$
Please solve for this probl

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Problem 457

I $\frac{3}{7}+\frac{4}{5}$ 2) $\frac{3}{9}+\frac{6}{3}$ (3) $\frac{4}{9}+\frac{5}{5}$ a $\frac{9}{7^{3}}+\frac{6}{10}$

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Problem 458

A virus is thought to spread through a chicken farm according to the equation $N \cdot=\frac{800}{1+790 e^{-0,1 t}}$ where $\mathbb{N}$ is the number of infected chicken and $t$ is in days. How many chickens are infected at time $t=0 ?$ A. 1 chicken B. 800 chickens C. 0 chickens D. NONE of the above

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Problem 459

Find the prime factors of the following numbers and express them in the index form : 4.95 2.230
3. 105 8.110

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Problem 460

$\begin{array}{l} r(x)=2 \sqrt{x} \\ s(x)=\sqrt{x} \end{array}$ $\left(\frac{r}{s}\right)(3)=$

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Problem 461

Fri Sep 6 student.ex.edgenuity.com Algebra II Function Operations 54:27 If f (x) = 4-² and g(x) = 6x, which expression is equivalent to (g- f) (3)? 6-3-(4+3) 6-3-(4-32) 6(3)-4+32 6(3)-4-32 F 40% uiz Mark And Return 7 of 10 Save & Exit

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Problem 462

$-4|8-5 n|=13$

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Problem 463

Week \#3: Warmup, Th. \& Fri., Sep. 5\&6 Calculate the object's speed shown in the graph.

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Problem 464

Lucas, who is single, received $\$ 8,000$ of social security benefits. His AGI before the social security benefits was $\$ 15,000$ . He also had $\$ 200$ of tax-exempt interest. What is the amount of taxable social security benefits?

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Problem 465

$\int 4 x\left(2 x^{2}+1\right)^{5} d x$

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Problem 466

Find the sum or difference. Simplify if necessary. * $\frac{3}{4}-\frac{3}{5}=$ $6 / 9$ $0 / 20$ $3 / 20$ $1 / 9$ None of the above

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Problem 467

1. $\frac{3}{4}+\frac{3}{4}=$ $\qquad$
2. $\frac{5}{7}+\frac{6}{7}=$ $\qquad$
3. $\frac{16}{25}+\frac{12}{25}=$ $\qquad$

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Problem 468

MA003 Page 4 of 6
3. Use the figure below to calculate the shaded region $\mathbf{D}$ when $\mathbf{a}=12.1, \mathbf{b}=8.2$ and $\mathbf{c}=8$ .
Ans:

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Problem 469

Find the sum or difference. Simplify if necessary, * $\frac{5}{9}-\frac{1}{2}=$ $6 / 7$ $4 / 7$ $4 / 18$ $1 / 18$ None of the above

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Problem 470

5. Answer the following questions; a) Find the slope of the curve $f(x)=\sqrt{x-1}$ at the point $x=5$ .
Ans: $\qquad$

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Problem 471

Find the sum or difference. Simplify if necessary. * $\frac{2}{4}+\frac{1}{3}=$ $2 / 7$ $3 / 12$ 5/6 1/12 None of the above

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Problem 472

Solve the following problem It was $13^{\circ} \mathrm{C}$ yesterday, but the temperature changed by $-18.6^{\circ}$ overnight. What is the temperature now? (1 point) $\square$ C

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Problem 473

Determine the distance between -18.26 and -2.45 on a number line. (1 point) $-15.81$ 15.81 $-20.71$ 20.71

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Problem 474

What is the first step when solving the equation below for $x$ ? $4 x-0.2=1.9$

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Problem 475

Elaine can complete a landscaping project in 12 hours with the help of either her husband Brian or both her two daughters. If Brian and one of his daughters work together, it would take them 24 hours to complete the project. Assuming the rate of work is constant for each person, and the two daughters work at the same rate, how long would it take Elaine, Brian, and one of their daughters to complete the project?
Working all together, Elaine, Brian, and one of their daughters can do thes job in 8 hours. (Type an integer or a simplified fraction.)

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Problem 476

Use PMT $=$ $M T=\frac{P\left(\frac{r}{n}\right)}{1-\left(1+\frac{r}{n}\right)^{-n t}} t o$ to determine the regular payment amount, rounded to the nearest dollar. Your credit card has a balance of $\$ 6200$ and an annual interest rate of $17 \%$ . With no further purchases charged to the card and the balance being paid off over three years, the monthly payment is $\$ 221$ , and the total interest paid is $\$ 1756$ . You can get a bank loan at $9.5 \%$ with a term of four years. Complete parts (a) and (b) below. a. now mucn will you pay eacn monun now aves unis compare win tne crealt-cara payment eacn montn select me correct choice below and fill in the answer boxes to complete your choice. (Do not round until the final answer. Then round to the nearest dollar as needed.) A. The monthly payments for the bank loan are approximately $\$ 156$ . This is $\$ 65$ less than the monthly credit-card payments. B. The monthly payments for the bank loan are approximately $\$$ . This is $\$$ more than the monthly credit-card payments. b. How much total interest will you pay? How thes compare with the total credit-card interest? Select the correct choice below and fill in the answer boxes to complete your choice. (Use the answer from part a to find this answer. Round to the nearest dollar as needed.) A. The total interest paid over 4 years for the bank loan is approximately $\$$ $\qquad$ This is $\$$ $\qquad$ more than the total credit-card interest. B. The total interest paid over 4 years for the bank loan is approximately $\$$ $\qquad$ ]. This is $\$$ $\square$ less than the total credit-card interest.

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Problem 477

$x-5=-2$

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Problem 478

( 417 mintiat) hn $\begin{array}{l} \text { shen } x\left(y^{\prime \prime}(t)\right)= \\ \text { hn } \\ \text { b) } x^{2} Y(x)+3 x-2 \end{array}$ ch $x^{2} \times(4)-26+3$ $4)^{3} x(x)+2 x^{2}-3$

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Problem 479

5. $35 \div 5$
8. $56 \div 8$
11. $42 \div 7$
14. $36 \div 9$
17. $70 \div 7$
20. $24 \div 6$
23. $32 \div 4$

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Problem 480

4) There are 2 apples to every 1 banana in the bowl. How many apples for 7 bananas?

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Problem 481

6. $11 \div 11$
9. $63 \div 7$
12. $24 \div 3$
15. $84 \div 12$
18. $81 \div 9$
21. $30 \div 6$
24. $18 \div 3$

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Problem 482

Question 10 The 2-digit numbers 2A, B9, CD, E3 $\qquad$ are in AP, such that the sum of $2 A$ and $E 3$ is 90 . Find the sum of the $N$ terms of this series, where $N=A+B+C+D+E$ . (Note that $A, B, C, D$ , and $E$ represent single-digit natural numbers) Marks:3.0 Negative Marks: 1

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Problem 483

There are 4 jacks in a deck of 52 cards. What is the probability of drawing a Jack from a deck of cards, putting it aside, and then drawing another Jack?

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Problem 484

6) ${ }^{\text {N }} 36$ Rosie spent 57.70 on 10 p and 20 p stamps. She bought nine times as many IOp stamps as 20 p stamps. How many of each stamp did she buy?

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Problem 485

$9.03-9.06$ Question 4 of 7 (1 point) I Question Attempt: 1 of Unlimited
In the figure below, $m \angle A B D=111^{\circ}, m \angle C B D=64^{\circ}$ , and $\overline{B E}$ bisects $\angle C B D$ . Find $m \angle A B E$ . $m \angle A B E=\square^{\circ}$

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Problem 486

A shop has the same price for a particular kind of cloth. One day, two customers came to the shop. The first customer bought 4 shirts and 2 pants, and he got a discount worth two handkerchiefs. The second customer bought 2 shirts and 4 pants, and he got a discount worth four handkerchiefs. Both customers paid the same amount. If the difference between the price of 6 pants and 6 shirts is Rs.120, find the price (in rupees) of one handkerchief.
Marks:3.0 Negative Marks 0.0

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Problem 487

4. $64 \div 8$
7. $28 \div 7$
10. $40 \div 4$
13. $72 \div 9$
16. $45 \div 5$
19. $72 \div 8$
22. $60 \div 10$

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Problem 488

7) For every one sweot 1 eat you cat three. We both ate a total of 32 sweets. How many sweets did I eat?

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Problem 489

Leveled Practice for 1-3, use the multiplicatior
1. $27 \div 3=$ ? $3 x=27$
2. $63 \div 9=$ ?
So, $27 \div 3=$ $9 x=63$ So. $63 \div 9=$

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Problem 490

Solve for all values of $x$ by factoring. $x^{2}-2 x-5=-5$

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Problem 491

Nasir has an annual salary of $\$ 64,000$ , and his company pays him iwice a month. What is the gross income per paycheck that Nasir receives? A. $\$ 1230.77$ B. $\$ 10,666.67$ C. $\$ 2666.67$ D. $\$ 5333.33$

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Problem 492

$-10(8.511)=$

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Problem 493

5. $4 x^{2}-15=85$

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Problem 494

1. $R S=$
2. $R T=$ $\square$
3. $S T=$ $\square$
4. $R U=$ $\square$

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Problem 495

$y=x^{4}+12 x \quad \frac{d y}{d x}=?$

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Problem 496

Milena's take-home pay is $\$ 1200$ a month. $12 \%$ of her take-home pay is spent on her cable bill. How much is Milena's monthly cable bill? A. $\$ 120$ B. $\$ 144$ C. $\$ 104$ D. $\$ 14.4$

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Problem 497

What is the difference? $-43-(-15)$
Enter your answer in the box. $\square$

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Problem 498

What is the unit price of a quart of milk for $\$ 0.89$ ? A. $\$ 3.56 /$ gallon B. $\$ 3 /$ half gallon C. $3.56 / \mathrm{oz}$ D. $\$ 4 / \mathrm{lb}$

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Problem 499

The graphs of $f$ and $g$ are shown. Evaluate the function at the given values of $x$ , if possible. Write your answers as integers or simplified fractions. Select "Undefined" if applicable.
Part 1 of 7 $(f+g)(4)$ is $\square$ . Undefined

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Problem 500

In problems 6 and 7: $\left\{\begin{array}{c} f(x)=(x-3)^{2} \\ g(x)=4 x^{2}+2 x-82 \\ h(x)=18 x+14 \end{array}\right.$
Find $h(h(1 / 2-k / 3))$

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1 2 3 4 5 6 7 8 ...307

Solve

Problem 401

![](https://cdn.mathpix.com/cropped/2024_09_05_51fb8b8bdfab6bfdfe75g.jpg?height=665&width=2098&top_left_y=68&top_left_x=377)Find the mean of each data setMean of datata set Ay □\square□

Problem 402

2.If your Chromebook is dropped from a height of 45 feet on the planet Newton, its height (in feet) after ttt seconds is approximately h(t)=45−14t2h(t)=45-14 t^{2}h(t)=45−14t2. How long does it take for the book to hit the surface of the planet? Round your answer to the nearest tenth.

Problem 403

vame: 23 Ms. Blankenship had $80\$ 80$80 to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick cost 31.40 , and each box of crayons cost 50,59 . How much money did Ms. Blankenship have left after these purchases?

Problem 404

Lames plas on a basketball heam his team scores 114 points in the first game and 10.1 points in the second game. In mo games, he scored ??\frac{?}{?}??​ of the total number of points his leam scored What thas the total number of point James scored in these nvo games?

Problem 405

4. Andrea has a container in the shape of a rectangular prism that she uses for blueberry picking. If the blueberries fill the container to a height of 15 centimeters. what is the volume of the blueberries in the container? Show your work.

Problem 406

Problem 407

(16−4)⋅24+433:431=(\sqrt{16}-\sqrt{4}) \cdot 2^{4}+4^{33}: 4^{31}=(16​−4​)⋅24+433:431=

Problem 408

−4.05+3.18-4.05+3.18−4.05+3.18

Problem 409

2) 325+(14−2)2:144=\sqrt[5]{32}+(14-2)^{2}: \sqrt{144}=532​+(14−2)2:144​=

Problem 410

Initial Knowledge Check Question 5How much of the circle is shaded? Write your answer as a fraction in simplest form. 13\frac{1}{3}31​ 27\frac{2}{7}72​

Problem 411

30:(4−14)+(−8:2−3)⋅2=30:(4-14)+(-8: 2-3) \cdot 2=30:(4−14)+(−8:2−3)⋅2=

Problem 412

30:(4−14)+(−8:2−3)⋅2=30:(4-14)+(-8: 2-3) \cdot 2=30:(4−14)+(−8:2−3)⋅2=

Problem 413

What is the surface area of the right cone below? A. 496π496 \pi496π units 2^{2}2 B. 248π248 \pi248π units 2^{2}2 C. 184π184 \pi184π units 2^{2}2 D. 304π304 \pi304π units 2^{2}2

Problem 414

30:(4−14)+(−8:2−3)⋅2=30:(4-14)+(-8: 2-3) \cdot 2=30:(4−14)+(−8:2−3)⋅2=

Problem 415

2) 92×75=92 \times 75=92×75=

Problem 416

c lattice multiplication to solve each problem 2) 92×7592 \times 7592×75

Problem 417

Compute. 49.83−4.61+649.83-4.61+649.83−4.61+6

Problem 418

Problem 419

Problem 420

A line passes through the points (1,2)(1,2)(1,2) and (5,10)(5,10)(5,10). Find its gradient.

Problem 421

d In how many wonys can glasgow mattsematics society form a maths olymptaia team of ubors and 3 girls if they are to chose from 7 boy and 5 girls.

Problem 422

Perform the indicated multiplication. 6(−9)6(−9)=\begin{array}{c} 6(-9) \\ 6(-9)= \end{array}6(−9)6(−9)=​

Problem 423

Tatenda has a circle with an equation x2+y2−8x+4y+4=0x^{2}+y^{2}-8 x+4 y+4=0x2+y2−8x+4y+4=0. Find the coordinates of the centre of this circle.

Problem 424

Find the values of xxx that satisfy the inequalities. (Enter your answer using interval notation.) x+1>6 or x+4<−1x+1>6 \text { or } x+4<-1x+1>6 or x+4<−1

Problem 425

(4−7)2+2⋅8+9−(32:8−6)3+(−2−8)=(4-7)^{2}+\sqrt{2 \cdot 8+9}-(32: 8-6)^{3}+(-2-8)=(4−7)2+2⋅8+9​−(32:8−6)3+(−2−8)=

Problem 426

Solve the Absolute Value Equation T2ES1Solve each equation. 1) ∣x−3∣=5|x-3|=5∣x−3∣=5 2) ∣x+7∣=2|x+7|=2∣x+7∣=2 3) ∣23−x∣=1\left|\frac{2}{3}-x\right|=1∣∣​32​−x∣∣​=1Solution === Solution === Solution ===

Problem 427

A line passes through the points (1,2)(1,2)(1,2) and (5,10)(5,10)(5,10). Find its gradient.

Problem 428

5) ∣−x+9∣=3|-x+9|=3∣−x+9∣=3Solution ===

Problem 429

The point KKK is the midpoint of JL‾\overline{J L}JL. Find the location of JJJ.Location of JJJ □\square□

Problem 430

Solve for yyy. 4+3y=104+3 y=104+3y=10Simplify your answer as much as possible. y=y=y= □\square□

Problem 431

Find the real roots of the equation by factorin x2+x−56=0x^{2}+x-56=0x2+x−56=0

Problem 432

The point XXX is the midpoint of WY‾\overline{W Y}WY. Find the location of YYY.Location of YYY : □\square□

Problem 433

Solve for yyy. 2(3y+7)=682(3 y+7)=682(3y+7)=68Simplify your answer as much as possible. y=y=y=

Problem 434

16−35=\frac{1}{6}-\frac{3}{5}=61​−53​= □\square□ (Type an integer or a simplifed fraction.)

Problem 435

Solve for xxx 3x+144=2\frac{3 x+14}{4}=243x+14​=2Simplify your answer as much as possible. x=x=x= □\square□

Problem 436

Evaluate the following exponential expression. (−8)2(−8)2=\begin{array}{c} (-8)^{2} \\ (-8)^{2}= \end{array}(−8)2(−8)2=​ □\square□

Problem 437

Evaluate the following exponential expression. (−1)3(−1)3=\begin{array}{c} (-1)^{3} \\ (-1)^{3}= \end{array}(−1)3(−1)3=​

Problem 438

2. Which of the following fractions is the largest? a. 3/53 / 53/5 b. 9/89 / 89/8 c. 6/116 / 116/11 d. 7/197 / 197/19 Mark to review later...

Problem 439

3. The sum of 191/4,21,4,26,9191 / 4,21,4,26,9191/4,21,4,26,9, and 21 is closest to which of the following? a. 91 b. 97 c. 100 d. 102 Mark to review later...

Problem 440

5. Solve the following equation: (−175+136)+(64−21)=(-175+136)+(64-21)=(−175+136)+(64−21)= a. -82 b. -4 c. 4 d. 82 Mark to review later...

Problem 441

4. $327.45\$ 327.45$327.45 subtracted from $572.98\$ 572.98$572.98 is closest to which of the following? a. $240.99\$ 240.99$240.99 b. $245.57\$ 245.57$245.57 c. $247.18\$ 247.18$247.18 d. $248.99\$ 248.99$248.99 Mark to review later...

![](https://cdn.mathpix.com/cropped/2024_09_05_51fb8b8bdfab6bfdfe75g.jpg?height=665&width=2098&top_left_y=68&top_left_x=377)
Find the mean of each data set
Mean of datata set Ay $\square$

2.If your Chromebook is dropped from a height of 45 feet on the planet Newton, its height (in feet) after $t$ seconds is approximately $h(t)=45-14 t^{2}$ . How long does it take for the book to hit the surface of the planet? Round your answer to the nearest tenth.

vame: 23 Ms. Blankenship had $\$ 80$ to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick cost 31.40 , and each box of crayons cost 50,59 . How much money did Ms. Blankenship have left after these purchases?

Lames plas on a basketball heam his team scores 114 points in the first game and 10.1 points in the second game. In mo games, he scored $\frac{?}{?}$ of the total number of points his leam scored What thas the total number of point James scored in these nvo games?

$(\sqrt{16}-\sqrt{4}) \cdot 2^{4}+4^{33}: 4^{31}=$

$-4.05+3.18$

2) $\sqrt[5]{32}+(14-2)^{2}: \sqrt{144}=$

Initial Knowledge Check Question 5
How much of the circle is shaded? Write your answer as a fraction in simplest form. $\frac{1}{3}$ $\frac{2}{7}$

$30:(4-14)+(-8: 2-3) \cdot 2=$

$30:(4-14)+(-8: 2-3) \cdot 2=$

What is the surface area of the right cone below? A. $496 \pi$ units $^{2}$ B. $248 \pi$ units $^{2}$ C. $184 \pi$ units $^{2}$ D. $304 \pi$ units $^{2}$

$30:(4-14)+(-8: 2-3) \cdot 2=$

2) $92 \times 75=$

c lattice multiplication to solve each problem 2) $92 \times 75$

Compute. $49.83-4.61+6$

A line passes through the points $(1,2)$ and $(5,10)$ . Find its gradient.

Perform the indicated multiplication. $\begin{array}{c} 6(-9) \\ 6(-9)= \end{array}$

Tatenda has a circle with an equation $x^{2}+y^{2}-8 x+4 y+4=0$ . Find the coordinates of the centre of this circle.

Find the values of $x$ that satisfy the inequalities. (Enter your answer using interval notation.) $x+1>6 \text { or } x+4<-1$

$(4-7)^{2}+\sqrt{2 \cdot 8+9}-(32: 8-6)^{3}+(-2-8)=$

Solve the Absolute Value Equation T2ES1
Solve each equation. 1) $|x-3|=5$ 2) $|x+7|=2$ 3) $\left|\frac{2}{3}-x\right|=1$
Solution $=$ Solution $=$ Solution $=$

A line passes through the points $(1,2)$ and $(5,10)$ . Find its gradient.

5) $|-x+9|=3$
Solution $=$

The point $K$ is the midpoint of $\overline{J L}$ . Find the location of $J$ .
Location of $J$ $\square$

Solve for $y$ . $4+3 y=10$
Simplify your answer as much as possible. $y=$ $\square$

Find the real roots of the equation by factorin $x^{2}+x-56=0$

The point $X$ is the midpoint of $\overline{W Y}$ . Find the location of $Y$ .
Location of $Y$ : $\square$

Solve for $y$ . $2(3 y+7)=68$
Simplify your answer as much as possible. $y=$

$\frac{1}{6}-\frac{3}{5}=$ $\square$ (Type an integer or a simplifed fraction.)

Solve for $x$ $\frac{3 x+14}{4}=2$
Simplify your answer as much as possible. $x=$ $\square$

Evaluate the following exponential expression. $\begin{array}{c} (-8)^{2} \\ (-8)^{2}= \end{array}$ $\square$

Evaluate the following exponential expression. $\begin{array}{c} (-1)^{3} \\ (-1)^{3}= \end{array}$

2. Which of the following fractions is the largest? a. $3 / 5$ b. $9 / 8$ c. $6 / 11$ d. $7 / 19$ Mark to review later...

3. The sum of $191 / 4,21,4,26,9$ , and 21 is closest to which of the following? a. 91 b. 97 c. 100 d. 102 Mark to review later...

5. Solve the following equation: $(-175+136)+(64-21)=$ a. -82 b. -4 c. 4 d. 82 Mark to review later...

4. $\$ 327.45$ subtracted from $\$ 572.98$ is closest to which of the following? a. $\$ 240.99$ b. $\$ 245.57$ c. $\$ 247.18$ d. $\$ 248.99$ Mark to review later...

12. 15 is what percent of 60 ? a. $4.5 \%$ b. $9 \%$ c. $12.5 \%$ d. $25 \%$ Mark to review later...

2. A package of crackers weighing 8.2 ounces costs $\$ 2.87$ . What is the cost per ounce of crackers?

Find the sum $\sum_{0 \leq \leq k \leq 20} \sum_{1} 1$ .

2. There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran $2 \frac{1}{2}$ miles. a. How many feet is that? b. How many inches is that?

$\int \sec (1-z) \tan (1-z) d z$
Please solve for this probl

I $\frac{3}{7}+\frac{4}{5}$ 2) $\frac{3}{9}+\frac{6}{3}$ (3) $\frac{4}{9}+\frac{5}{5}$ a $\frac{9}{7^{3}}+\frac{6}{10}$

Find the prime factors of the following numbers and express them in the index form : 4.95 2.230
3. 105 8.110

$\begin{array}{l} r(x)=2 \sqrt{x} \\ s(x)=\sqrt{x} \end{array}$ $\left(\frac{r}{s}\right)(3)=$

$-4|8-5 n|=13$

Lucas, who is single, received $\$ 8,000$ of social security benefits. His AGI before the social security benefits was $\$ 15,000$ . He also had $\$ 200$ of tax-exempt interest. What is the amount of taxable social security benefits?

$\int 4 x\left(2 x^{2}+1\right)^{5} d x$

Find the sum or difference. Simplify if necessary. * $\frac{3}{4}-\frac{3}{5}=$ $6 / 9$ $0 / 20$ $3 / 20$ $1 / 9$ None of the above

1. $\frac{3}{4}+\frac{3}{4}=$ $\qquad$
2. $\frac{5}{7}+\frac{6}{7}=$ $\qquad$
3. $\frac{16}{25}+\frac{12}{25}=$ $\qquad$

MA003 Page 4 of 6
3. Use the figure below to calculate the shaded region $\mathbf{D}$ when $\mathbf{a}=12.1, \mathbf{b}=8.2$ and $\mathbf{c}=8$ .
Ans:

Find the sum or difference. Simplify if necessary, * $\frac{5}{9}-\frac{1}{2}=$ $6 / 7$ $4 / 7$ $4 / 18$ $1 / 18$ None of the above

5. Answer the following questions; a) Find the slope of the curve $f(x)=\sqrt{x-1}$ at the point $x=5$ .
Ans: $\qquad$

Find the sum or difference. Simplify if necessary. * $\frac{2}{4}+\frac{1}{3}=$ $2 / 7$ $3 / 12$ 5/6 1/12 None of the above

Solve the following problem It was $13^{\circ} \mathrm{C}$ yesterday, but the temperature changed by $-18.6^{\circ}$ overnight. What is the temperature now? (1 point) $\square$ C

Determine the distance between -18.26 and -2.45 on a number line. (1 point) $-15.81$ 15.81 $-20.71$ 20.71

What is the first step when solving the equation below for $x$ ? $4 x-0.2=1.9$