Browse Expression problems Studdy Solved!

Problem 7601

A sun in a distant galaxy has an estimated Mass of $1.67216 \times 10^{30} \mathrm{~kg}$ and the earth has a mass of $5.972 \times 10^{24} \mathrm{~kg}$ , how many earths would it take to equal the mass of the sun? Write your answer in scientific notation.
It would take $\square$ earths to equal the mass of the sun.

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Problem 7602

A sun in a distant galaxy has an estimated Mass of $1.493 \times 10^{32} \mathrm{~kg}$ and the earth has a mass of $5.972 \times 10^{24} \mathrm{~kg}$ , how many earths would it take to equal the mass of the sun? Write your answer in scientific notation.
It would take $\square$ earths to equal the mass of the sun.

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Problem 7603

Simplify completely. $\frac{\sqrt{6} \sqrt{84}}{\sqrt{2}}$ A. 252 B. $\sqrt{252}$ C. $7 \sqrt{6}$ D. $6 \sqrt{7}$ E. $36 \sqrt{7}$

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Problem 7604

Question 7 Drag to correctly arrange the scenarios in order of increasing work. Least Work :::: 1000 N is exerted to jump a distance of 2 m . :::: 1200 N is exerted to push a football sled 0.5 m . :::: 350 J of work is done to lift a weight 0.2 m . :::: 50 N is used to hold a box. Most Work

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Problem 7605

1.- Escribir la razón pedida en cada uno de los siguientes casos: En una tier da trabajan 60 hombres y 35 mujeres. Encontrar la razón entre
El número de hombres y el número de mujeres El número de hombres y el total de trabajadores El número de mujeres y el total de trabajadores

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Problem 7606

2.- Calcular el valor de las siguientes razones: 1) $24: 8$ 2) $4: 8$ 3) $6: 24$ 4) $49: 7$ 5) $16: 4$

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Problem 7607

A coin collector sells III-Vth century Roman sesterces (a silver coin of ancient Rome) via an internet link. Her last week's sales are shown in the spreadsheet table below. (Hint: she sold each sesterce for \27.00) \begin{tabular}{||c|c|c|c|} \hline \mathbf{4} & A & B & C \\ \hline 1 & Week Day & \# sold & Amount (\$) \\ \hline 2 & Solis & 3 & 81 \\ \hline 3 & Lunae & 4 & 108 \\ \hline 4 & Martis & 2 & 54 \\ \hline 5 & Mercurii & 2 & 54 \\ \hline 6 & Iovis & 7 & 189 \\ \hline 7 & Veneris & 4 & 108 \\ \hline 8 & Saturni & 5 & 135 \\ \hline 9 & Total =$ & 27 & 729 \\ \hline & & & \\ \hline \end{tabular}
What formula is needed to calculate the amount, in dollars, she earned on Mercurii (latin for Wednesday)? $=27^{} B 5$ =B5 sum(27:B5) =sum(27:B5) $27^{}$ B5

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Problem 7608

2. Given triangle $A B C$ , if $a=57 \mathrm{~m}, b=70 \mathrm{~m}$ , and $c=105 \mathrm{~m}$ , what is the area of triangle $A B C$ to the nearest square metre?

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Problem 7609

Consider two functions $f$ and $g$ on $[3,7]$ such that $\int_{3}^{7} f(x) d x=13, \int_{3}^{7} g(x) d x=6, \int_{4}^{7} f(x) d x=5$ , and $\int_{3}^{4} g(x) d x=4$ . Evaluate the following integrals. a. $\int_{3}^{4} 2 f(x) d x=16$ (Simplify your answer.) b. $\int_{3}^{7}(f(x)-g(x)) d x=\square$ (Simplify your answer.)

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Problem 7610

What is $n$ for the following compounding periods? (a) quarterly $n=$ $\square$ (b) semiannually $n=$ $\square$ (c) monthly $n=$ $\square$ (d) daily $n=$ $\square$

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Problem 7611

What is $n$ for the following compounding periods? (a) quarterly $n=4 \quad \text { Nice! }$ $\begin{array}{l} \text { (b) semiannually } \\ n=2 \end{array}$ $\square$ Nice work! $\begin{array}{l} \text { (c) monthly } \\ n=12 \end{array}$ (d) daily $n=\square$ $\qquad$ Learn It: Calculate a Future Value Us

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Problem 7612

Бодлого 19. $\left(\frac{1}{2} x^{-1} y^{2}\right)^{-2}$ илэрхийллийг хялбарчилна уу. A) $\frac{1}{4} x^{2} y^{-4}$ B) $\frac{4 x^{2}}{y^{4}}$ C) $\frac{1}{4} x^{2} y^{4}$ D) $\frac{1}{4} x^{-2} y^{4}$

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Problem 7613

8. If a house is 40 feet long, 35 feet wide, and the top of the roof is 27 feet above ground level, what will the corresponding dimensions be of a model built so that 1 foot is represented by $\frac{1}{2}$ inch?

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Problem 7614

$\int x^{2} \cos x^{3} d x=$

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Problem 7615

Divide as indicated. Simplify the answer. $\begin{array}{r} \frac{a-b}{5 a+5 b} \div \frac{a^{2}-b^{2}}{a^{2}+4 a+4} \\ \frac{a-b}{5 a+5 b} \div \frac{a^{2}-b^{2}}{a^{2}+4 a+4}=\square \end{array}$ $\square$

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Problem 7616

Your flight has been delayed: At Denver International Airport, $82 \%$ of recent flights have arrived on time. A sample of 11 flights is studied.
Round the probabilities to at least four decimal places.
Part 1 of 4 (a) Find the probability that all 11 of the flights were on time.

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Problem 7617

5. Marie-Claude has a series of four nested funnels in her kitchen that are similar to the one shown in the diagram. If the other three funnels have top diameters of $10 \mathrm{~cm}, 8 \mathrm{~cm}$ , and 6 cm , find the measures of the remaining parts for all three funnels.

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Problem 7618

Here are some facts about units of length. \begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline inch & in & \\ \hline foot & ft & $1 \mathrm{ft}=12 \mathrm{in}$ \\ \hline yard & yd & $1 \mathrm{yd}=3 \mathrm{ft}$ \\ \hline \end{tabular}
Fill in the blanks. $5 \mathrm{ft}=$ $\square$ in $18 \mathrm{ft}=$ $\square$ yd

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Problem 7619

Here are some facts about units of volume. \begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline fluid ounce & fl oz & \\ \hline cup & c & $1 \mathrm{c}=8 \mathrm{fl} \mathrm{oz}$ \\ \hline pint & pt & $1 \mathrm{pt}=2 \mathrm{c}$ \\ \hline quart & qt & $1 \mathrm{qt}=2 \mathrm{pt}$ \\ \hline gallon & gal & $1 \mathrm{gal}=4 \mathrm{qt}$ \\ \hline \end{tabular}
Fill in the blanks. $\begin{aligned} 8 \mathrm{pt} & =\llbracket \mathrm{qt} \\ 7 \mathrm{c} & =\square \mathrm{floz} \end{aligned}$

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Problem 7620

23 Rajā̄-6 menunjukkan suatu gábungan pepejal bagi sebuah kon dan sebuah hemisfera. Diagram 6 shows a combined solid of a cone and a hemisphere.
Menggunakan $\pi=\frac{22}{7}$ , hitung isi padu, dalam $\mathrm{cm}^{3}$ , bagi gabungan pepejal itu. Using $\pi=\frac{22}{7}$ , calculate the volume, in $\mathrm{cm}^{3}$ , of the combined solid.
4. $150 \frac{6}{7} \quad 129$
B $122 \frac{4}{7}$ C $80 \frac{1}{7}$ . D $23 \frac{4}{7}, 3$ 24 Rajah 7 menunjukkan dua buah bulatan yang sama

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Problem 7621

$\frac{n!}{(n-1)!}$

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Problem 7622

59) $\sqrt{20}(3-\sqrt{5})$

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Problem 7623

6 ) In the opposite figure: $\triangle \mathrm{ABC}$ is a right-angled triangle at B , $\tan \theta=\frac{3}{4}$ , then $\cos \alpha=$ (a) $\frac{3}{4}$ (b) $-\frac{3}{4}$ (2) $-\frac{4}{5}$ (d) $-\frac{3}{5}$

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Problem 7624

6 ) In the opposite figure: $\triangle \mathrm{ABC}$ is a right-angled triangle at B , $\tan \theta=\frac{3}{4}$ , then $\cos \alpha=$ (a) $\frac{3}{4}$ (b) $-\frac{3}{4}$ (2) $-\frac{4}{5}$ (d) $-\frac{3}{5}$

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Problem 7625

2) The value of $\sqrt{\frac{(\sqrt{12}-\sqrt{8})(\sqrt{3}+\sqrt{2})}{5+\sqrt{24}}}$ is (a) $\sqrt{6}-\sqrt{2}$ (b) $\sqrt{6}+\sqrt{2}$ (c) $\sqrt{6}-2$ (d) $2-\sqrt{6}$

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Problem 7626

5) The value of the product $\left(7-\frac{12}{x}\right)\left(49+\frac{84}{x}+\frac{144}{x^{2}}\right)$ at $x=2$ is (a) 0 (b) 559 (c) 127 (d) 128

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Problem 7627

A. 15 B. 3
8. A photographer has 7 people to photograph and wishes to photograph them 3 at a time arranged in a line. How many different arrangern

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Problem 7628

8) $(64)^{\frac{-2}{3}} \times\left(\frac{1}{4}\right)^{-3}$ equals (a) $\frac{1}{4}$ (b) 1 (c) 4 (d) 16

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Problem 7629

10) $(4)^{0.5} \times(0.5)^{4}$ is equal to (a) 1 (b) 4 (c) $\frac{1}{8}$ (d) $\frac{1}{32}$

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Problem 7630

5
Вычислите $\left(\frac{1}{2}\right)^{\log _{\frac{1}{2}} 22}$

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Problem 7631

Выберите выражения, равные: $\log _{x^{4}} 4$
Отметьте все соответствующие ответы: $\frac{\log _{x^{4}} 2}{2}$ $2 \log _{x^{4}} 2$ $\frac{\log _{x} 2}{2}$ $4 \log _{x} 4$
$\frac{\log _{x} 4}{4}$

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Problem 7632

$\int \frac{e^{-t}}{t^{4}} d t$

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Problem 7633

3. Prove the following identities: (a) $\sinh (z+\pi)=-\sinh (z)$ (b) $\cosh (z)=\cosh (x) \cos (y)+i \sinh (x) \sin (y)$

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Problem 7634

The resistance of the LDR decreases as the incident light increases. True False

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Problem 7635

$\left(2 x^{4}-4 x^{3}-5 x^{2}-5\right):\left(x^{2}+2\right)$

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Problem 7636

8. There are 30 girls in Class 6 A .14 of them are wearing glasses. What percentage of all the girls are not wearing glasses?
Answer: $\qquad$ $\qquad$ of all the girls are not wearing glasses.
9. The table below shows the amount of different items of stationery Miss Wong has. What percentage of all the pens are red pens? \begin{tabular}{|c|c|c|c|} \hline Stationery & Pencil & Red pen & Blue pen \\ \hline Amount & 10 & 12 & 8 \\ \hline \end{tabular} $\qquad$ of all the pens are red pens.
10. There are 120 fish in an aquarium. Among them, 20 are and the remaining are (a) $\qquad$ $\%$ of all the fish are either or (b) $\qquad$ \% of all the fish are

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Problem 7637

1. Find the algebraic expression in the expanded form for the area of: $\qquad$ $\qquad$ $\qquad$ $\qquad$
2. Find the product of three consecutive even integers if $4 x-2$ is the smallest integer. Give answer in the expanded form. $\qquad$ $\qquad$ $\qquad$
3. Find the surface of the following prism. Express your answer in the expanded form. $\qquad$ $\qquad$ $\qquad$ $\qquad$

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Problem 7638

estion 16 Time left 0:13:34
Given that $S_{x}^{2}=400, S_{y}^{2}=484, S_{x y}=350$ , and $n=10$ , the correlation coefficient is: 0.50 0.181 0.141 0.70 0.80 Next question

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Problem 7639

4. Find an algebraic expression (in expanded form) for the total number of containers produced in a factory for one hour if there are $(5 y+4)$ machines and each machine produced $(8 y+11)$ containers.
5. Find the area of the following shape: $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$

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Problem 7640

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

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Problem 7641

Find the distance between the points $(-4,9)$ and $(-10,9)$ .
Round decimals to the nearest tenth. $\square$ units

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Problem 7642

Find the distance between the points $(2,3)$ and $(7,8$ Round decimals to the nearest tenth. $\square$ units

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Problem 7643

4. Hasil dari $3 \frac{5}{6}-\frac{8}{10}$ dalam bentuk pecahan campuran paling sederhana adalah..

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Problem 7644

c) $7+13$

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Problem 7645

a1/6 $\left[(-a)^{5} \cdot(-b)^{3}:(-a b)^{2}:\left(-a^{2}\right)+\left(-b^{9}\right):\left(-b^{8}\right)\right]\left(a^{3} b^{7}\right)+\left(-a^{2} b^{4}\right)^{2}$

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Problem 7646

$x^{2} + 2x - 24$

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Problem 7647

$6ax - 4x - 9a + 6$

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Problem 7648

Express as a single logarithm. $\begin{array}{c} \log _{10} 9-\log _{10} 3 \\ \log _{10} 9-\log _{10} 3= \end{array}$

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Problem 7649

$\left(-\frac{1}{8}\right) \cdot\left(-\frac{1}{8}\right) \cdot\left(-\frac{1}{8}\right)$

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Problem 7650

4. Find six equivalent fractions for the follo a) $\frac{4}{7}=\frac{8}{14}=\frac{12}{21}=\frac{16}{28}=\frac{20}{35}=\frac{24}{42}$ b)

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Problem 7651

An unfair coin has probability 0.4 of landing heads. The coin is tossed five times. What is the probability that it lands heads at least once? Round the answer to four decimal places. $P($ Lands heads at least once $)=$ $\square$

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Problem 7652

Below, $n$ is the sample size, $p$ is the population proportion and $\hat{p}$ is the sample proportion. Use the Central Limit Theorem and the $71-84$ calculator to find the probability. Round the answer to at least four decimal places. $\begin{array}{c} p=0.24 \\ P(\hat{p}<0.22)= \end{array}$ $\square$

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Problem 7653

simplify. 1) $\sqrt{125 n}$ 2) $\sqrt{216 v}$ 3) $\sqrt{512 k^{2}}$ 4) $\sqrt{512 m^{3}}$ 5) $\sqrt{216 k^{4}}$ 6) $\sqrt{100 v^{3}}$ 7) $\sqrt{80 p^{3}}$ 8) $\sqrt{45 p^{2}}$ 9) $\sqrt{147 m^{3} n^{3}}$ 10) $\sqrt{200 m^{4} n}$ 11) $\sqrt{75 x^{2} y}$ 12) $\sqrt{64 m^{3} n^{3}}$ 13) $\sqrt{16 u^{4} v^{3}}$ 14) $\sqrt{28 x^{3} y^{3}}$

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Problem 7654

Interpreting calculator display: The following TI-84 Plus display presents the results of a hypothesis test. \begin{tabular}{|l|} \hline \multicolumn{1}{|c|}{ z-Test } \\ $\mu>45$ \\ $z=2.872551059$ \\ $P=.0020359269$ \\ $\bar{x}=48.75$ \\ $n=71$ \end{tabular}
Part: $0 / 5$
Part 1 of 5
What are the null and alternate hypotheses? $\begin{array}{l} H_{0}: \mu=45 \\ H_{1}: \mu>45 \end{array}$ $\square$ $\infty$ do 탕
Part: $1 / 5$
Part 2 of 5
What is the value of the test statistic? Enter the value to the full accuracy shown (do not round). $z=2.87255105$ $\square$
Part: $2 / 5$
Part 3 of 5
What is the $P$ -value? Enter the value to the full accuracy shown (do not round). $P$ -value $=$ $\square$

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Problem 7655

Evaluate the following: a) ${ }_{5} C_{3}$ c) $\binom{6}{4}$ e) $\binom{12}{6}$ b) ${ }_{9} C_{8}$ d) ${ }_{10} C_{0}$ f) ${ }_{8} C_{1}$

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Problem 7656

$\text{Точките } M \text{ и } N \text{ са средите съответно на страните } BC \text{ и } AC \text{ на } \triangle ABC \text{ и } AM \cap BN = Q. \text{ Ако разстоянието от } Q \text{ до правата } MN \text{ е } 3 \text{ cm, намерете дължината на височината } CD \text{ (в cm).}$

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Problem 7657

What is the area of this shape? Give your answer in $\mathrm{cm}^{2}$ .
Not to scale

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Problem 7658

Work out the area of this triangle.

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Problem 7659

2 Compute. Reduce your answer if possible. (g) $8 \frac{3}{8}-1 \frac{1}{10}=$
Answer:

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Problem 7660

```latex \begin{problem} a. Find the measure of angle $J$ .
Type the answer in the box below.
Angle $J$ has a measure of $\underline{\hspace{1cm}}$ .
Explain how you know. Type your response in the space below.
b. Find the measure of angle $K$ .
Type the answer in the box below.
Angle $K$ has a measure of $\underline{\hspace{1cm}}$ .
Explain how you know. Type your response in the space below.
In parallelogram HIJK, angle $H$ is $45$ degrees. \end{problem}

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Problem 7661

Reduce the fraction to its lowest form. $\frac{10}{55}=\square$
RFLT-13 (3)

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Problem 7662

Reduce the fraction to its lowest form. Click and drag the numbers to the designated spaces. Click OK when you are finished.
9 5 $\square$ 6 $\square$ $\frac{15}{2.7}=\square$ Activate Windows(0) 00 Go to Settings to activate Wind

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Problem 7663

6. Найди значение выражения $\left(\frac{11}{25}-\frac{14}{34}\right): \frac{6}{17}$ .

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Problem 7664

8. Integrate: $\int \frac{-\frac{1}{t^{2}}+1}{\sqrt{\frac{1}{t}+t}} d t$

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Problem 7665

Evaluate the following expression without using a calculator. $\log _{13} 169$

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Problem 7666

Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator. $\log _{7}\left(49 x^{5}\right)$

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Problem 7667

8. Найди значение выражения $\frac{9 \mathrm{x}-25 \mathrm{y}}{3 \sqrt{\mathrm{x}}+5 \sqrt{\mathrm{y}}}+2 \sqrt{\mathrm{y}}$ , если $\sqrt{\mathrm{x}}-\sqrt{\mathrm{y}}=6$ .
Введи ответ

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Problem 7668

13. Find the circumference of the circle with a radius of 5 cm .

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Problem 7669

Evaluate the following logarithmic expression. Round off your answer to two decimal places. $4 \log _{2}(12)$

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Problem 7670

Multiply. $\sqrt{6}(\sqrt{6}-8 \sqrt{7})$
Simplify your answer as much as possible. $\square$

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Problem 7671

18. Tiles will be used to cover an area that is $650 \mathrm{~cm} \times 1,200 \mathrm{~cm}$ . What is the largest size square tile that can be used so that all the tiles used are full tiles? The largest size square tile that can be used so that all the tiles used are full tiles is

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Problem 7672

perfect square monomia
Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) $\sqrt{x^{22}}=$ $\square$ $\square$ $\square$ $\square$ $\square$ $\sqrt{[ }$ (b) $\sqrt{z^{30}}=$ $\square$

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Problem 7673

Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) $\sqrt{z^{8}}=$ $\square$
$\sqrt{\square}$ (b) $\sqrt{y^{18}}=$ $\square$

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Problem 7674

Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) $\sqrt{z^{8}}=$ $\square$ (b) $\sqrt{y^{18}}=$ $\square$

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Problem 7675

Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) $\sqrt{w^{16}}=$ $\square$ (b) $\sqrt{x^{6}}=$ $\square$

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Problem 7676

Simplify. $\sqrt{75 t^{5} u^{12}}$
Assume that all variables represent positive real numbers. $\square$

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Problem 7677

Nicola is setting a 4-digit passcode on her phone. Digits can appear more than once in the passcode, and to unlock Nicola's phone the digits will need to be entered in the correct order.
How many possible passcodes could Nicola set where the first digit is 7 ?

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Problem 7678

6. Simplify: $(2 x-1)(x+4)$

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Problem 7679

7. Simplify: $(x-5)^{2}$

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Problem 7680

Consider the expression $\frac{2 x^{3}+5 x^{2}+5 x}{3 x^{3}+1}$ .
Part: $0 / 3$
Part 1 of 3 (a) Divide the numerator and denominator by the greatest power of $x$ that appears in the denominator. That is, divide each term in the numerator and denominator by $x^{3}$ . Write your answers with positive exponents only. $\frac{2 x^{3}+5 x^{2}+5 x}{3 x^{3}+1}=\frac{\square+\square+\square}{\square+\square}$

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Problem 7681

Simplify. $18 w^{7} \sqrt{w}-3 \sqrt{w^{15}}$
Assume that the variable represents a positive real numbe

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Problem 7682

Simplify. $18 w^{7} \sqrt{w}-3 \sqrt{w^{15}}$
Assume that the variable represents a positive real number.

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Problem 7683

Simplify the radical. Assume that all variables represent positive numbers $\sqrt{81 a^{13}}$ $\sqrt{81 a^{13}}=$ $\square$ (Type an exact answer in simplified form.)

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Problem 7684

Multiply. $(3+4 \sqrt{6})(3+4 \sqrt{10})$
Simplify your answer as much as possible. $\square$

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Problem 7685

$-2 \frac{1}{6} \div\left(-\frac{1}{4}\right)$

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Problem 7686

The chickens at Louis' farm are fed $4 \frac{1}{2}$ buckets of feed a day. How many buckets of feed are needed to get through an entire week? a. Will Louis multiply $4 \frac{1}{2}$ by 7 or divide $4 \frac{1}{2}$ by 7 to solve this problem? Explain your answer.

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Problem 7687

Test 3 (Chapters 7 -9) om/Student/PlayerTest.aspx?testId=2643628178.centerwin=yes
A study of all the studonts at a small college showed a mean age of 20.5 and a standard deviation of 1.8 years a. Are these numbers statistics or parameters? Explain. b. Labol both numbers with their appropriate symbol (such as $\overline{\mathrm{x}}, \mu, \mathrm{s}$ , or $\sigma$ ). a. Choose the correct answer below. A. The numbers are statistics because they are estimates and not certain. B. The numbers are parameters because they are for all the students, not a sample. C. The numbers are statistics because they are for all the students, not a sample. D. The numbers are parameters because they are estimates and not certain. b. Choose the correct labels below. $\square$ $=20.5$ $\square$ $=1.8$ Assessment Details Calculator Webcam Chat Support

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Problem 7688

12. Which of the following uses properties of operations to help find $27 \times 14$ ? 4.Nso.2.2. (A) $20+7+10+4$ (B) $20 \times 7 \times 10 \times 4$ (C) $27+14$ (D) $(20+7) \times(10+4)$

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Problem 7689

Question 11 1 pts
A two-way chi square analysis provides the following data: Chi square-obt of 6.23 with 89 total participants.
What is the phi coefficient? $0.26$

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Problem 7690

1. Which expression is equivalent to $\frac{4^{8}}{4^{2}}$ ? (A) $4^{2}$ (B) $4^{6}$ (C) $4^{10}$ (D) $4^{4}$

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Problem 7691

Write the following numbers in standard form.
50. $3.95 \times 10^{12}$ $51.9 .8 \times 10^{-9}$

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Problem 7692

Express $\frac{\sqrt{2}}{\sqrt{40}}$ as a fraction with a rational denominator. Give your answer in its simplest form.

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Problem 7693

The method use to identiy the factors in the diagram below is called 6 12 24 2 2 3 2

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Problem 7694

Maxwell bought a new volleyball that cost $\$ 1495$ plus sales tax of $7 \%$ . How 1 p much did Maxwell pay for the volleyball. \ $105$ \ $1600$ $\$ 1595$ none of the above

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Problem 7695

How many significant figures are there in $3,200.000$ * 1 significant figure 2 signiicant figure 3 signiicant figure 4 signiicant figure

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Problem 7696

$p=5650, r=8.25 \%, t=60 \text { days }$
The simple interest is $\$$ $\square$ (Round to the nearest cent as needed.)

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Problem 7697

$\log _{2} \sqrt[3]{2} \cdot \log _{2} \frac{1}{2}$

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Problem 7698

Simplify. $\sqrt{3 z} \cdot \sqrt{11 z}$
Assume that the variable represents a positive real number. $\square$

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Problem 7699

1. Simplify the expressions to a single trigonometric function: a. $\frac{\csc ^{2}(t)-1}{\csc ^{2}(t)}$ b. $\cos (x) \tan (x)+\sin (x)$
2. Consider $\cot (x)=\frac{1}{\sqrt{3}}$ a. What quadrant is the angle located? b. Will the cosine of this angle be positive or negative? c. Will the sine of this angle be positive or negative?
3. Consider the function $\frac{x}{\sqrt{9-x^{2}}}$ . Rewrite this expression by substituting $x=3 \sin \theta$ , and simplifying completely.

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Problem 7700

Work out the volume of the cylinder below. If your answer is a decimal, give it to 1 d.p.

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Expression

Problem 7601

Problem 7602

Problem 7603

Simplify completely. 6842\frac{\sqrt{6} \sqrt{84}}{\sqrt{2}}2​6​84​​ A. 252 B. 252\sqrt{252}252​ C. 767 \sqrt{6}76​ D. 676 \sqrt{7}67​ E. 36736 \sqrt{7}367​

Problem 7604

Question 7 Drag to correctly arrange the scenarios in order of increasing work. Least Work :::: 1000 N is exerted to jump a distance of 2 m . :::: 1200 N is exerted to push a football sled 0.5 m . :::: 350 J of work is done to lift a weight 0.2 m . :::: 50 N is used to hold a box. Most Work

Problem 7605

1.- Escribir la razón pedida en cada uno de los siguientes casos: En una tier da trabajan 60 hombres y 35 mujeres. Encontrar la razón entreEl número de hombres y el número de mujeres El número de hombres y el total de trabajadores El número de mujeres y el total de trabajadores

Problem 7606

2.- Calcular el valor de las siguientes razones: 1) 24:824: 824:8 2) 4:84: 84:8 3) 6:246: 246:24 4) 49:749: 749:7 5) 16:416: 416:4

Problem 7607

Problem 7608

2. Given triangle ABCA B CABC, if a=57 m,b=70 ma=57 \mathrm{~m}, b=70 \mathrm{~m}a=57 m,b=70 m, and c=105 mc=105 \mathrm{~m}c=105 m, what is the area of triangle ABCA B CABC to the nearest square metre?

Problem 7609

Problem 7610

What is nnn for the following compounding periods? (a) quarterly n=n=n= □\square□ (b) semiannually n=n=n= □\square□ (c) monthly n=n=n= □\square□ (d) daily n=n=n= □\square□

Problem 7611

Problem 7612

Problem 7613

8. If a house is 40 feet long, 35 feet wide, and the top of the roof is 27 feet above ground level, what will the corresponding dimensions be of a model built so that 1 foot is represented by 12\frac{1}{2}21​ inch?

Problem 7614

∫x2cos⁡x3dx=\int x^{2} \cos x^{3} d x=∫x2cosx3dx=

Problem 7615

Problem 7616

Your flight has been delayed: At Denver International Airport, 82%82 \%82% of recent flights have arrived on time. A sample of 11 flights is studied.Round the probabilities to at least four decimal places.Part 1 of 4 (a) Find the probability that all 11 of the flights were on time.

Problem 7617

5. Marie-Claude has a series of four nested funnels in her kitchen that are similar to the one shown in the diagram. If the other three funnels have top diameters of 10 cm,8 cm10 \mathrm{~cm}, 8 \mathrm{~cm}10 cm,8 cm, and 6 cm , find the measures of the remaining parts for all three funnels.

Problem 7618

Problem 7619

Problem 7620

Problem 7621

n!(n−1)!\frac{n!}{(n-1)!}(n−1)!n!​

Problem 7622

59) 20(3−5)\sqrt{20}(3-\sqrt{5})20​(3−5​)

Problem 7623

6 ) In the opposite figure: △ABC\triangle \mathrm{ABC}△ABC is a right-angled triangle at B , tan⁡θ=34\tan \theta=\frac{3}{4}tanθ=43​, then cos⁡α=\cos \alpha=cosα= (a) 34\frac{3}{4}43​ (b) −34-\frac{3}{4}−43​ (2) −45-\frac{4}{5}−54​ (d) −35-\frac{3}{5}−53​

Problem 7624

6 ) In the opposite figure: △ABC\triangle \mathrm{ABC}△ABC is a right-angled triangle at B , tan⁡θ=34\tan \theta=\frac{3}{4}tanθ=43​, then cos⁡α=\cos \alpha=cosα= (a) 34\frac{3}{4}43​ (b) −34-\frac{3}{4}−43​ (2) −45-\frac{4}{5}−54​ (d) −35-\frac{3}{5}−53​

Problem 7625

2) The value of (12−8)(3+2)5+24\sqrt{\frac{(\sqrt{12}-\sqrt{8})(\sqrt{3}+\sqrt{2})}{5+\sqrt{24}}}5+24​(12​−8​)(3​+2​)​​ is (a) 6−2\sqrt{6}-\sqrt{2}6​−2​ (b) 6+2\sqrt{6}+\sqrt{2}6​+2​ (c) 6−2\sqrt{6}-26​−2 (d) 2−62-\sqrt{6}2−6​

Problem 7626

5) The value of the product (7−12x)(49+84x+144x2)\left(7-\frac{12}{x}\right)\left(49+\frac{84}{x}+\frac{144}{x^{2}}\right)(7−x12​)(49+x84​+x2144​) at x=2x=2x=2 is (a) 0 (b) 559 (c) 127 (d) 128

Problem 7627

A. 15 B. 38. A photographer has 7 people to photograph and wishes to photograph them 3 at a time arranged in a line. How many different arrangern

Problem 7628

8) (64)−23×(14)−3(64)^{\frac{-2}{3}} \times\left(\frac{1}{4}\right)^{-3}(64)3−2​×(41​)−3 equals (a) 14\frac{1}{4}41​ (b) 1 (c) 4 (d) 16

Problem 7629

10) (4)0.5×(0.5)4(4)^{0.5} \times(0.5)^{4}(4)0.5×(0.5)4 is equal to (a) 1 (b) 4 (c) 18\frac{1}{8}81​ (d) 132\frac{1}{32}321​

Problem 7630

5Вычислите (12)log⁡1222\left(\frac{1}{2}\right)^{\log _{\frac{1}{2}} 22}(21​)log21​​22

Problem 7631

Problem 7632

∫e−tt4dt\int \frac{e^{-t}}{t^{4}} d t∫t4e−t​dt

Problem 7633

3. Prove the following identities: (a) sinh⁡(z+π)=−sinh⁡(z)\sinh (z+\pi)=-\sinh (z)sinh(z+π)=−sinh(z) (b) cosh⁡(z)=cosh⁡(x)cos⁡(y)+isinh⁡(x)sin⁡(y)\cosh (z)=\cosh (x) \cos (y)+i \sinh (x) \sin (y)cosh(z)=cosh(x)cos(y)+isinh(x)sin(y)

Problem 7634

The resistance of the LDR decreases as the incident light increases. True False

Problem 7635

(2x4−4x3−5x2−5):(x2+2)\left(2 x^{4}-4 x^{3}-5 x^{2}-5\right):\left(x^{2}+2\right)(2x4−4x3−5x2−5):(x2+2)

Problem 7636

Problem 7637

Problem 7638

estion 16 Time left 0:13:34Given that Sx2=400,Sy2=484,Sxy=350S_{x}^{2}=400, S_{y}^{2}=484, S_{x y}=350Sx2​=400,Sy2​=484,Sxy​=350, and n=10n=10n=10, the correlation coefficient is: 0.50 0.181 0.141 0.70 0.80 Next question

Problem 7639

4. Find an algebraic expression (in expanded form) for the total number of containers produced in a factory for one hour if there are (5y+4)(5 y+4)(5y+4) machines and each machine produced (8y+11)(8 y+11)(8y+11) containers.5. Find the area of the following shape: \qquad \qquad \qquad \qquad \qquad

Problem 7640

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Problem 7641

Find the distance between the points (−4,9)(-4,9)(−4,9) and (−10,9)(-10,9)(−10,9).Round decimals to the nearest tenth. □\square□ units

Problem 7642

Find the distance between the points (2,3)(2,3)(2,3) and (7,8(7,8(7,8 Round decimals to the nearest tenth. □\square□ units

Problem 7643

4. Hasil dari 356−8103 \frac{5}{6}-\frac{8}{10}365​−108​ dalam bentuk pecahan campuran paling sederhana adalah..

Problem 7644

c) 7+137+137+13

Problem 7645

Problem 7646

x2+2x−24 x^{2} + 2x - 24 x2+2x−24

Problem 7647

Simplify completely. $\frac{\sqrt{6} \sqrt{84}}{\sqrt{2}}$ A. 252 B. $\sqrt{252}$ C. $7 \sqrt{6}$ D. $6 \sqrt{7}$ E. $36 \sqrt{7}$

1.- Escribir la razón pedida en cada uno de los siguientes casos: En una tier da trabajan 60 hombres y 35 mujeres. Encontrar la razón entre
El número de hombres y el número de mujeres El número de hombres y el total de trabajadores El número de mujeres y el total de trabajadores

2.- Calcular el valor de las siguientes razones: 1) $24: 8$ 2) $4: 8$ 3) $6: 24$ 4) $49: 7$ 5) $16: 4$

2. Given triangle $A B C$ , if $a=57 \mathrm{~m}, b=70 \mathrm{~m}$ , and $c=105 \mathrm{~m}$ , what is the area of triangle $A B C$ to the nearest square metre?

What is $n$ for the following compounding periods? (a) quarterly $n=$ $\square$ (b) semiannually $n=$ $\square$ (c) monthly $n=$ $\square$ (d) daily $n=$ $\square$

8. If a house is 40 feet long, 35 feet wide, and the top of the roof is 27 feet above ground level, what will the corresponding dimensions be of a model built so that 1 foot is represented by $\frac{1}{2}$ inch?

$\int x^{2} \cos x^{3} d x=$

Your flight has been delayed: At Denver International Airport, $82 \%$ of recent flights have arrived on time. A sample of 11 flights is studied.
Round the probabilities to at least four decimal places.
Part 1 of 4 (a) Find the probability that all 11 of the flights were on time.

5. Marie-Claude has a series of four nested funnels in her kitchen that are similar to the one shown in the diagram. If the other three funnels have top diameters of $10 \mathrm{~cm}, 8 \mathrm{~cm}$ , and 6 cm , find the measures of the remaining parts for all three funnels.

$\frac{n!}{(n-1)!}$

59) $\sqrt{20}(3-\sqrt{5})$

6 ) In the opposite figure: $\triangle \mathrm{ABC}$ is a right-angled triangle at B , $\tan \theta=\frac{3}{4}$ , then $\cos \alpha=$ (a) $\frac{3}{4}$ (b) $-\frac{3}{4}$ (2) $-\frac{4}{5}$ (d) $-\frac{3}{5}$

6 ) In the opposite figure: $\triangle \mathrm{ABC}$ is a right-angled triangle at B , $\tan \theta=\frac{3}{4}$ , then $\cos \alpha=$ (a) $\frac{3}{4}$ (b) $-\frac{3}{4}$ (2) $-\frac{4}{5}$ (d) $-\frac{3}{5}$

2) The value of $\sqrt{\frac{(\sqrt{12}-\sqrt{8})(\sqrt{3}+\sqrt{2})}{5+\sqrt{24}}}$ is (a) $\sqrt{6}-\sqrt{2}$ (b) $\sqrt{6}+\sqrt{2}$ (c) $\sqrt{6}-2$ (d) $2-\sqrt{6}$

5) The value of the product $\left(7-\frac{12}{x}\right)\left(49+\frac{84}{x}+\frac{144}{x^{2}}\right)$ at $x=2$ is (a) 0 (b) 559 (c) 127 (d) 128

A. 15 B. 3
8. A photographer has 7 people to photograph and wishes to photograph them 3 at a time arranged in a line. How many different arrangern

8) $(64)^{\frac{-2}{3}} \times\left(\frac{1}{4}\right)^{-3}$ equals (a) $\frac{1}{4}$ (b) 1 (c) 4 (d) 16

10) $(4)^{0.5} \times(0.5)^{4}$ is equal to (a) 1 (b) 4 (c) $\frac{1}{8}$ (d) $\frac{1}{32}$

5
Вычислите $\left(\frac{1}{2}\right)^{\log _{\frac{1}{2}} 22}$

$\int \frac{e^{-t}}{t^{4}} d t$

3. Prove the following identities: (a) $\sinh (z+\pi)=-\sinh (z)$ (b) $\cosh (z)=\cosh (x) \cos (y)+i \sinh (x) \sin (y)$

$\left(2 x^{4}-4 x^{3}-5 x^{2}-5\right):\left(x^{2}+2\right)$

estion 16 Time left 0:13:34
Given that $S_{x}^{2}=400, S_{y}^{2}=484, S_{x y}=350$ , and $n=10$ , the correlation coefficient is: 0.50 0.181 0.141 0.70 0.80 Next question

4. Find an algebraic expression (in expanded form) for the total number of containers produced in a factory for one hour if there are $(5 y+4)$ machines and each machine produced $(8 y+11)$ containers.
5. Find the area of the following shape: $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$

Find the distance between the points $(-4,9)$ and $(-10,9)$ .
Round decimals to the nearest tenth. $\square$ units

Find the distance between the points $(2,3)$ and $(7,8$ Round decimals to the nearest tenth. $\square$ units

4. Hasil dari $3 \frac{5}{6}-\frac{8}{10}$ dalam bentuk pecahan campuran paling sederhana adalah..

c) $7+13$

$x^{2} + 2x - 24$

$6ax - 4x - 9a + 6$

Express as a single logarithm. $\begin{array}{c} \log _{10} 9-\log _{10} 3 \\ \log _{10} 9-\log _{10} 3= \end{array}$

$\left(-\frac{1}{8}\right) \cdot\left(-\frac{1}{8}\right) \cdot\left(-\frac{1}{8}\right)$

4. Find six equivalent fractions for the follo a) $\frac{4}{7}=\frac{8}{14}=\frac{12}{21}=\frac{16}{28}=\frac{20}{35}=\frac{24}{42}$ b)

An unfair coin has probability 0.4 of landing heads. The coin is tossed five times. What is the probability that it lands heads at least once? Round the answer to four decimal places. $P($ Lands heads at least once $)=$ $\square$

Evaluate the following: a) ${ }_{5} C_{3}$ c) $\binom{6}{4}$ e) $\binom{12}{6}$ b) ${ }_{9} C_{8}$ d) ${ }_{10} C_{0}$ f) ${ }_{8} C_{1}$

What is the area of this shape? Give your answer in $\mathrm{cm}^{2}$ .
Not to scale

2 Compute. Reduce your answer if possible. (g) $8 \frac{3}{8}-1 \frac{1}{10}=$
Answer:

Reduce the fraction to its lowest form. $\frac{10}{55}=\square$
RFLT-13 (3)

Reduce the fraction to its lowest form. Click and drag the numbers to the designated spaces. Click OK when you are finished.
9 5 $\square$ 6 $\square$ $\frac{15}{2.7}=\square$ Activate Windows(0) 00 Go to Settings to activate Wind

6. Найди значение выражения $\left(\frac{11}{25}-\frac{14}{34}\right): \frac{6}{17}$ .

8. Integrate: $\int \frac{-\frac{1}{t^{2}}+1}{\sqrt{\frac{1}{t}+t}} d t$

Evaluate the following expression without using a calculator. $\log _{13} 169$

Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator. $\log _{7}\left(49 x^{5}\right)$

8. Найди значение выражения $\frac{9 \mathrm{x}-25 \mathrm{y}}{3 \sqrt{\mathrm{x}}+5 \sqrt{\mathrm{y}}}+2 \sqrt{\mathrm{y}}$ , если $\sqrt{\mathrm{x}}-\sqrt{\mathrm{y}}=6$ .
Введи ответ

Evaluate the following logarithmic expression. Round off your answer to two decimal places. $4 \log _{2}(12)$

Multiply. $\sqrt{6}(\sqrt{6}-8 \sqrt{7})$
Simplify your answer as much as possible. $\square$

Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) $\sqrt{z^{8}}=$ $\square$
$\sqrt{\square}$ (b) $\sqrt{y^{18}}=$ $\square$

Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) $\sqrt{z^{8}}=$ $\square$ (b) $\sqrt{y^{18}}=$ $\square$