Browse Math problems Studdy Solved!

Problem 3201

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 3202

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 3203

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 3204

In a Bank every 15 minutes one customer arrives for the cheque. The staff in the only payment counter takes 10 minutes for serving a customer on an average. Find (d) Average number of Customer in the bank (e) Average number of Customer in the queue
Average time that a customer spends in the bank

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Problem 3205

Exponential Growth $A=\mathrm{Pe}^{\text {rt }}$ Population of city Santa Clava in 2003 was 98,000 Population now of Santa Clara in 2022 was 131,886 Based on these numbers and exponelitial growth, estimate the population of Santa Clara in 2050

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Problem 3206

$\begin{array}{l}f(x)=\frac{x \cdot \sin x}{\sqrt{x^{2}+1}-1} \\ g(x)=\frac{x-\cos x}{x^{2}} \\ \left.\lim _{x \rightarrow+\infty} \operatorname{fl}_{x \rightarrow+\infty}(x)\right)\end{array}$

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Problem 3207

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 3208

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 3209

First National Bank will not charge a service fee if there is at least $\$ 500$ in the account. On Nondoy, a client's balance was $\$ 612.35$ and they withdrew $\$ 30$ . a. Buld an inequality to represent the scenario above. b. Solve the inequality. c. What does the solytion mean in context of the probliem?

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Problem 3210

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

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Problem 3211

$-4.05+3.18$

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Problem 3212

f. $12 \div \frac{7}{8}$

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Problem 3213

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

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Problem 3214

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 3215

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

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Problem 3216

Angel has $\$ 90$ to buy soccer uniforms. Each jersey costs $\$ 15$ and each pair of shorts costs $\$ 12$ Part A Write an inequality to represent the number of jerseys $x$ and the number of pairs of shorts $y$ Angel can buy: $\qquad$

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Problem 3217

16 km 20 km 12 km

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Problem 3218

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

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Problem 3219

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 3220

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

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Problem 3221

2) $92 \times 75=$

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Problem 3222

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

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Problem 3223

The volume of a cylinder with a base of radius $r$ is the area of the base times the length of its height ( $h$ ). Which of the following is the formula for the volume of a cylinder? A. $V=\pi r h$ B. $V=\pi r^{2} h$ C. $V=\frac{1}{2} \pi r h$ D. $V=2 \pi r h$

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Problem 3224

4. Pacific Coast Coffee is priced at $\$ 12.88$ for 80 cups of coffee and Down South Coffee is priced at $\$ 9.00$ for 50 cups. Which brand of coffee is the better value for one cup?

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Problem 3225

Compute. $49.83-4.61+6$

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Problem 3226

The density of a certain material is such that it weighs 1 pound per fluid ounce of volume. Express this density in tons per gallon.

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Problem 3227

An expression is shown. $\frac{(2.7)^{-2} \cdot(2.7)^{3}}{(2.7)^{1} \cdot(2.7)^{-4}}$
Apply the Laws of what Exponents to determine the value of the expression.
The value of the expression is

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Problem 3228

\begin{tabular}{|l|l|} \hline Stem (hundred thousands) & Leaf (ten thousands) \\ \hline \hline 0 & 667778999 \\ \hline \hline 1 & 02447778889999 \\ \hline 2 & 0011234445667889 \\ \hline 3 & 00011227 \\ \hline \end{tabular}
The stem-and-leaf plot above shows house sale prices over the last week in Tacoma. What was the most expensive house sold? Give your answer in dollars \\square$

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Problem 3229

(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 3230

5. $\left(2 x^{2} y\right)^{5}$

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Problem 3231

$y=\frac{2 x}{2 x+7}$ Oive the domains of the Jollowing function

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Problem 3232

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 3233

1) $-9(-5-7)-3 v-9 v$

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Problem 3234

A teacher recorded the time (in minutes) 14 students each spent on a quiz. The results are shown in the line plot. (a) Fill in the blank.
The peak of the data set is at minutes. (b) Choose True or False. True False There is a gap from 19 to 21. There is a cluster from 16 to 17. The data set is symmetric.

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Problem 3235

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

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Problem 3236

Copy $\triangle A B C$ below on graph paper, then read the Math Notes box in this lesson before completing the parts below. $1-62 \mathrm{HW}$ eTool Homework Help $\qquad$ a. Rotate $\triangle$ $\triangle A B C 90^{\circ}$ counterclockwise $(U)$ about the origin to create $\Delta A^{\prime} B^{\prime} C^{\prime}$ . Name the coordinates of $C^{\prime}$ . b. Reflect $\triangle A B C$ across the vertical line $x=1$ to create $\Delta$ $\Delta A^{\prime \prime} B^{\prime \prime} C^{\prime \prime}$ . Name the coordinates of the vertices. c. Translate $\triangle A B C$ so that $A^{m \prime}$ is at $(4,-5)$ . Name the coordinates of $B^{\prime \prime \prime}$ .

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Problem 3237

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 3238

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

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Problem 3239

7. Given the graph of the function $y=f(x)$ sketch the graph of each indicated function. a) $y=f(x+5)$ b) $y-6=f(x)$

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Problem 3240

Find the centre whose equation is : $2 x^{2}+2 y^{2}-3 x+2 y+1=0$

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Problem 3241

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 3242

Show that the line passing through the points $A(6,4)$ and $B(7,11)$ is parallel to the line passing through $P(0,0)$ and $Q(2,14)$ .

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Problem 3243

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 3244

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

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Problem 3245

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 3246

9. $\left(\frac{1}{2} a^{3} b^{4} c^{5}\right)^{3}$

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Problem 3247

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

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Problem 3248

The following table gives the distribution of the marks. \begin{tabular}{|c|c|} \hline Mark & Frequency \\ \hline 4.5 & 18 \\ \hline 14.5 & 19 \\ \hline 24.5 & $x$ \\ \hline 34.5 & 12 \\ \hline 44.5 & 9 \\ \hline 54.5 & 5 \\ \hline 64.5 & 2 \\ \hline 74.5 & 2 \\ \hline 84.5 & 1 \\ \hline \end{tabular}
If the mean mark for the candidates was found to be 26.06 , find the a. value of $x$ . b. variance. c. standard deviation. d. draw a histogram for the distribution. e. Find the probability that a candidate chosen at random obtain 55 marks or more.

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Problem 3249

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

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Problem 3250

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

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Problem 3251

6. $\frac{x^{20} y^{9} z^{2}}{x^{5} y^{9} z}$

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Problem 3252

Find the coordinates of $P$ that represent the weighted average for the given set of points with the given weights. - A has a weight of 3 . - $B$ has a weight of 2 .

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Problem 3253

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

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Problem 3254

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

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Problem 3255

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

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Problem 3256

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

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Problem 3257

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

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Problem 3258

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

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Problem 3259

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

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Problem 3260

Factor the expression completely. $x^{2}-3 x-18$

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Problem 3261

Perform the indicated operations and simplify the expression. $\left(6 x^{2}-1\right)\left(5 x^{2}\right)+\left(x^{2}+3\right)(2 x)$

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Problem 3262

$\left(6 x^{2}-1\right)\left(6 x^{2}\right)+\left(x^{2}+3\right)(2 x)$

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Problem 3263

fewrite the expression using positive exponents anily. (Simplify your answer completel $\sqrt{x^{-3}} \cdot \sqrt{49 x^{-5}}$

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Problem 3264

(4) (54) Are the ratios 2:4 and 3:6 equivalent? yes no

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Problem 3265

2A, Are the ratios $2: 1$ and $20: 10$ equivalent? yes no

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Problem 3266

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

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Problem 3267

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

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Problem 3268

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 3269

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 3270

19. The wonderful news $\qquad$ her greatly, and she thought it must be $\qquad$ good to be true. a. affected; to b. affected; too c. effected; to d. effected; too Mark to review later...

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Problem 3271

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 3272

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 3273

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 3274

Refer to the paragraph below to answer questions 27 through 30. An Office Assistant must have good math skills. Knowledge of basic arithmetic, $\qquad$ \#27 $\qquad$ addition, subtraction, multiplication and division form a solid $\qquad$ \#28 $\qquad$ for a successful candidate. Knowledge of percentages and fractions will also be $\qquad$ \#29 $\qquad$ Being able to $\qquad$ \#30 $\qquad$ fractions to percentages may be necessary.
27. Which of the following best completes blank \#27 in the paragraph presented above? a. summing b. including c. comprising d. containing Mark to review later...

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Problem 3275

33. In alphabetical filing, which name would appear FIRST? a. Pipeline Coastal Group b. Pip Pipes And Plumbing Services c. Pipe And Drains Co. d. Pipe Fitters \& Plumbers Services Mark to review later...

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Problem 3276

44. Which of the following sets of identification numbers is listed in alphanumerical order? a. $T 7, U 6, U 3, V 7, V 2$ b. T3, V7, V2, U3, T9 c. $\mathrm{T} 5, \mathrm{~T} 9, \mathrm{U} 7, \mathrm{~V} 3, \mathrm{~V} 7$ d. U1, U7, V2, V6, T8 Mark to review later...

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Problem 3277

$\begin{array}{l} \text { (ক) গসাগু निর্ণয় করো } \\ \text { 5. } a^{2} b^{2} c^{2}, 6 a b^{2} c^{2} \\ \text { 2. } 10 a b^{2} x^{2}, 15 a^{2} b y^{2} \\ a^{2} x^{2}, 6 a x y^{2}, 9 a y^{2} \\ 16 a^{3} x^{4} y, 40 a^{2} y^{2} x, 28 a x^{3} \\ a^{2}+a b, a^{2}-b^{2},(a+b)^{2} \\ x^{3} y-x y^{3}, x(x-y)^{2} \\ \left(a^{2}+10 a+25\right),\left(a^{2}+25\right) \\ a(a+b), a\left(a^{2}-b^{2}\right), a^{2}(a-b) \\ (a-2),\left(a^{2}-4\right),\left(a^{2}-a-2\right) \\ 3 a^{2}+27 a, a^{2}(a+9), a^{3}(a+9) \end{array}$

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Problem 3278

What is the surface area? square yards

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Problem 3279

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 3280

What is $\overline{N O}$ ? 4) center diameter radius

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Problem 3281

9. Write each of the following into a single logarithm with a coefficient of one. (a) $7 \ln t-6 \ln s+5 \ln w$

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Problem 3282

LESSON $2 \mid$ SESSION 2 (3) a. Three sidewalks in a schoolyard form a triangle. Explain how the expression $\frac{1}{2}(40)(30)+\frac{1}{2}(40)(20)$ represents the area inside the three sidewalks.

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Problem 3283

SChool. Rodrigo paints the is the area of the triangle shown. What is the area of the triangle? You can use a formula to find the area. Use the side labeled 4 ft as the base. Then the height is 3 ft . $\begin{aligned} A & =\frac{1}{2} b h \\ & =\frac{1}{2}(4)(3) \\ & =\frac{1}{2}(12) \\ & =6 \end{aligned}$
The area of the triangle is $6 \mathrm{ft}^{2}$ .
1. Suppose the height of Rodrigo's triangle in the Example is doubled. Will the area of the triangle also double? Explain how you know.

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Problem 3284

. 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 3285

Explain how you know that the two triangles have the same area.

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Problem 3286

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 3287

What is the volume? cubic centimeters

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Problem 3288

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 3289

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 3290

$A$ 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 3291

(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 3292

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

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Problem 3293

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 3294

$A$ 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 3295

Set C - 1.) $15 \mathrm{~h}^{2} \cdot \mathrm{h}^{3} \cdot 2 \mathrm{~h}$ - 2.) $\frac{x^{4} y^{3}}{x y^{2}}$ - 3.) $\left(\frac{3 c d}{2 c d^{2}}\right)^{2}$

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Problem 3296

Set D 1.) $\frac{-27 y^{8} z^{10}}{\left(-9 r^{5} z\right)^{2}}$ 2.) $\left(\frac{6 y^{3}}{y^{5}}\right)^{2}$ 3.) $5 y^{4} \cdot-2 y^{4} \cdot 3 y^{3}$

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Problem 3297

IV. Instructions: Write $R$ if each of the following pairs of quantities is rate, write $N$ if Not, then convert it to unit rate. \begin{tabular}{|l|l|} \hline 1. 5 humans to 10 hands & 2. P300 per 2 hours of work \\ \hline 3. $P 300$ to 2 kg of rambutan & 4.20 meters in 5 seconds \\ \hline 5.24 miles in every 8 hours & 6. P30,000.00 in 3 square meter \\ \hline 7.60 seconds per minute & 8.6 inches in half ruler \\ \hline \end{tabular}

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Problem 3298

Graph the polynomial function $f(x)=x^{2}(x+5)$ using parts (a) through (e).
The lesser zero of the function is of multiplicity $\square$ , so the graph of $f$ $\square$ the $x$ -axis at $x=$ $\square$ . The greater zero of the function is of multiplicity $\square$ , so the graph of $f$ $\square$ the $x$ -axis at $x=$ $\square$ .

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Problem 3299

Set $F$ 1.) $\frac{a b^{4} c^{3}}{a^{4} b^{7} c^{2}}$ 2.) $-3 m^{3} \cdot m^{5} \cdot 2 m$ 3.) $\left(\frac{5 n^{4}}{4 n^{2}}\right)^{2}$

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Problem 3300

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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Math

Problem 3201

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 3202

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 3203

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 3204

In a Bank every 15 minutes one customer arrives for the cheque. The staff in the only payment counter takes 10 minutes for serving a customer on an average. Find (d) Average number of Customer in the bank (e) Average number of Customer in the queueAverage time that a customer spends in the bank

Problem 3205

Exponential Growth A=Pert A=\mathrm{Pe}^{\text {rt }}A=Pert Population of city Santa Clava in 2003 was 98,000 Population now of Santa Clara in 2022 was 131,886 Based on these numbers and exponelitial growth, estimate the population of Santa Clara in 2050

Problem 3206

Problem 3207

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 3208

Problem 3209

Problem 3210

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

Problem 3211

−4.05+3.18-4.05+3.18−4.05+3.18

Problem 3212

f. 12÷7812 \div \frac{7}{8}12÷87​

Problem 3213

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

Problem 3214

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 3215

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

Problem 3216

Angel has $90\$ 90$90 to buy soccer uniforms. Each jersey costs $15\$ 15$15 and each pair of shorts costs $12\$ 12$12 Part A Write an inequality to represent the number of jerseys xxx and the number of pairs of shorts yyy Angel can buy: \qquad

Problem 3217

16 km 20 km 12 km

Problem 3218

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

Problem 3219

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 3220

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

Problem 3221

2) 92×75=92 \times 75=92×75=

Problem 3222

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

Problem 3223

Problem 3224

4. Pacific Coast Coffee is priced at $12.88\$ 12.88$12.88 for 80 cups of coffee and Down South Coffee is priced at $9.00\$ 9.00$9.00 for 50 cups. Which brand of coffee is the better value for one cup?

Problem 3225

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

Problem 3226

The density of a certain material is such that it weighs 1 pound per fluid ounce of volume. Express this density in tons per gallon.

Problem 3227

An expression is shown. (2.7)−2⋅(2.7)3(2.7)1⋅(2.7)−4\frac{(2.7)^{-2} \cdot(2.7)^{3}}{(2.7)^{1} \cdot(2.7)^{-4}}(2.7)1⋅(2.7)−4(2.7)−2⋅(2.7)3​Apply the Laws of what Exponents to determine the value of the expression.The value of the expression is

Problem 3228

Problem 3229

Problem 3230

5. (2x2y)5\left(2 x^{2} y\right)^{5}(2x2y)5

Problem 3231

y=2x2x+7y=\frac{2 x}{2 x+7}y=2x+72x​ Oive the domains of the Jollowing function

Problem 3232

Problem 3233

1) −9(−5−7)−3v−9v-9(-5-7)-3 v-9 v−9(−5−7)−3v−9v

Problem 3234

Problem 3235

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

Problem 3236

Problem 3237

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 3238

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

Problem 3239

7. Given the graph of the function y=f(x)y=f(x)y=f(x) sketch the graph of each indicated function. a) y=f(x+5)y=f(x+5)y=f(x+5) b) y−6=f(x)y-6=f(x)y−6=f(x)

Problem 3240

Find the centre whose equation is : 2x2+2y2−3x+2y+1=02 x^{2}+2 y^{2}-3 x+2 y+1=02x2+2y2−3x+2y+1=0

Problem 3241

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 3242

Show that the line passing through the points A(6,4)A(6,4)A(6,4) and B(7,11)B(7,11)B(7,11) is parallel to the line passing through P(0,0)P(0,0)P(0,0) and Q(2,14)Q(2,14)Q(2,14).

Problem 3243

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 3244

(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)=

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?

In a Bank every 15 minutes one customer arrives for the cheque. The staff in the only payment counter takes 10 minutes for serving a customer on an average. Find (d) Average number of Customer in the bank (e) Average number of Customer in the queue
Average time that a customer spends in the bank

Exponential Growth $A=\mathrm{Pe}^{\text {rt }}$ Population of city Santa Clava in 2003 was 98,000 Population now of Santa Clara in 2022 was 131,886 Based on these numbers and exponelitial growth, estimate the population of Santa Clara in 2050

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

$-4.05+3.18$

f. $12 \div \frac{7}{8}$

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. $\frac{1}{3}$ $\frac{2}{7}$

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

Angel has $\$ 90$ to buy soccer uniforms. Each jersey costs $\$ 15$ and each pair of shorts costs $\$ 12$ Part A Write an inequality to represent the number of jerseys $x$ and the number of pairs of shorts $y$ Angel can buy: $\qquad$

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

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) $92 \times 75$

4. Pacific Coast Coffee is priced at $\$ 12.88$ for 80 cups of coffee and Down South Coffee is priced at $\$ 9.00$ for 50 cups. Which brand of coffee is the better value for one cup?

Compute. $49.83-4.61+6$

An expression is shown. $\frac{(2.7)^{-2} \cdot(2.7)^{3}}{(2.7)^{1} \cdot(2.7)^{-4}}$
Apply the Laws of what Exponents to determine the value of the expression.
The value of the expression is

5. $\left(2 x^{2} y\right)^{5}$

$y=\frac{2 x}{2 x+7}$ Oive the domains of the Jollowing function

1) $-9(-5-7)-3 v-9 v$

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

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

7. Given the graph of the function $y=f(x)$ sketch the graph of each indicated function. a) $y=f(x+5)$ b) $y-6=f(x)$

Find the centre whose equation is : $2 x^{2}+2 y^{2}-3 x+2 y+1=0$

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.

Show that the line passing through the points $A(6,4)$ and $B(7,11)$ is parallel to the line passing through $P(0,0)$ and $Q(2,14)$ .

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 $=$

9. $\left(\frac{1}{2} a^{3} b^{4} c^{5}\right)^{3}$

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

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

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

6. $\frac{x^{20} y^{9} z^{2}}{x^{5} y^{9} z}$

Find the coordinates of $P$ that represent the weighted average for the given set of points with the given weights. - A has a weight of 3 . - $B$ has a weight of 2 .

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. $x=$ $\square$

Factor the expression completely. $x^{2}-3 x-18$

Perform the indicated operations and simplify the expression. $\left(6 x^{2}-1\right)\left(5 x^{2}\right)+\left(x^{2}+3\right)(2 x)$

$\left(6 x^{2}-1\right)\left(6 x^{2}\right)+\left(x^{2}+3\right)(2 x)$

fewrite the expression using positive exponents anily. (Simplify your answer completel $\sqrt{x^{-3}} \cdot \sqrt{49 x^{-5}}$

2A, Are the ratios $2: 1$ and $20: 10$ equivalent? yes no

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...

19. The wonderful news $\qquad$ her greatly, and she thought it must be $\qquad$ good to be true. a. affected; to b. affected; too c. effected; to d. effected; too 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...