Browse Expression problems Studdy Solved!

Problem 2301

23. $\begin{array}{r}1101_{2} \\ -\quad 111_{2} \\ \hline 990_{7}\end{array}$

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Problem 2302

(2) $\mathbf{1 0 0 1}$ in binary is equal to $\qquad$ in decimal

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Problem 2303

16 Simplify the following expressions. $1^{\circ} 9^{-\frac{1}{2}} \times\left(\frac{1}{3}\right)^{-0.5}$ $6^{\circ} \frac{7^{n}+14^{n}}{7^{n}-14^{n}}(n \in \mathbb{N})$ $2^{\circ} \frac{8 \times 10^{3} \times 4 \times 10^{-4}}{0.0016}$ $7^{\circ} A=\frac{\sqrt[n]{5^{2 n+1}}}{\sqrt[n+1]{5^{3 n+1}}} \div \frac{\sqrt[n+1]{5^{n+3}}}{\sqrt[n]{5^{n-1}}}$ $3^{\circ} \frac{3^{n+4}-6 \times 3^{n+1}}{7 \times 3^{n+1}}(n \in \mathbb{N})$ $\mathbf{8}^{\circ} B=\frac{2^{n+3}+5 \times 2^{n+1}}{3 \times 2^{n+1}}$ $4^{\circ} \frac{4^{n+2}-4^{n}}{2^{n+1}-2^{n}}(n \in \mathbb{N})$ $9^{\circ} C=\frac{\sqrt{4 x^{2}+8 x \sqrt{2}+8}}{2 x^{2}-4}$ for $x>\sqrt{2}$ $5^{\circ} \frac{8^{n}+2^{n}}{20^{n}+5^{n}}(n \in \mathbb{N})$ $10^{\circ} D=\sqrt[6]{64(\sqrt{2}-3)^{6}}+\sqrt[5]{-32(\sqrt{2}+}$

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Problem 2304

$\text{Best Sales Scenario}$
$\begin{array}{|l|l|} \hline \text{Market potential per day} & \frac{1500}{20} \\ \hline \text{Potential market share} & 60\% \times 750 \\ \hline \text{Suppliers discount} & 6 \times R9 \\ \hline \end{array}$
$\text{Daily Figures}$
$\begin{array}{|l|l|} \hline \text{Units sold per day} & \\ \hline \text{Price per unit} & \\ \hline \text{Cost price per unit} & R9 - R0.54 \\ \hline \end{array}$
$\text{Daily Sales}$
$\text{Less total daily costs}$
$\text{Gross profit per day}$
\text{Calculate potential market share, suppliers discount, gross profit per day.}

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Problem 2305

1. $\lim _{x \rightarrow+\infty} \frac{\frac{1}{x}}{\tan \left(\frac{2}{x}\right)}[2 p t s]$

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Problem 2306

10 Rationalize the denominator . $10 \frac{3}{\sqrt{5}}$ $3^{\circ} \frac{1}{\sqrt{3}+1}$ $5^{\circ} \frac{\sqrt{2}}{\sqrt{5}-\sqrt{2}}$ $2^{2} \frac{\sqrt{2}}{3 \sqrt{3}}$ 4.) $\frac{1}{2 \sqrt{3}-5}$ $6^{\circ} \frac{2}{3 \sqrt[5]{2}}$ .

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Problem 2307

Convert the decimal number '42' to binary:
Answer: $\square$

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Problem 2308

$(1,6),(8,2) ; a$ a. $m=$ $\qquad$ b. $\qquad$ c. $\qquad$

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Problem 2309

PR NINI Donta Pak karta mensual larma yang telah dikemas. Setiap comasan borisis sobuah xumai ika terdapat 27 katmasan dikios Pak lartia maka berapa banyat flurtha Joum d Joal pat karta seurohny $y_{a}$

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Problem 2310

Vilken är al $\left[\mathrm{Cu}^{2+}\right]$ , b) $\left[\mathrm{NO}_{3}^{-}\right]$ i en lösning med koncentrationen $0,15 \mathrm{~mol} / \mathrm{dm}^{3} \mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}$ ?

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Problem 2311

Which Boolean property was used to simplify the expression of $F$ from: F = [(a.b').(c'.d)]'
To: $F=\left(a^{\prime}+b\right)+\left(c+d^{\prime}\right)$ a. Consensus b. Absorption c. DeMorgan d. Simplification e. Adjacency f. Distributive g. Idempotency h. Complement i. Null j. Identity k. Associative I. Commutative

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Problem 2312

Fuclorise $9 x^{2}-\frac{1}{4}$

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Problem 2313

Specify the maximum decimal number that can fit in a 3 bits signed register:
Answer: $\square$

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Problem 2314

o) $\log _{0.25} 0.0625$

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Problem 2315

$2 \frac{3}{4}$

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Problem 2316

$3.20 \mathrm{~g} / \mathrm{cm}^{3} \rightarrow \mathrm{~kg} / \mathrm{m}^{3}$

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Problem 2317

When the population mean is known, then
Select one: a. We used the population mean to estimate the sample SD b. We used the sample SD to estimate the population mean c. We used the sample mean to estimate the population mean d. None of the above

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Problem 2318

1. Find the domain and simplify each of the following rational expressions. a. $\frac{x-1}{x^{2}-1}$ c. $\frac{x^{2}-5 x+6}{x^{2}-4}$ c. $\frac{4 x^{2}-36}{x^{2}-6 x+9}$ g. $\frac{x^{2}+1}{x^{3}+2 x^{2}+x}$ b. $\frac{x^{3}-27}{x^{4}+3 x^{3}-27 x-81}$ d. $\frac{x^{2}-5 x+6}{3 x^{3}-2 x^{2}-8 x}$ f. $\frac{x^{4}-8 x}{3 x^{3}-2 x^{2}-8 x}$ h. $\frac{6 x^{2}+23 x+20}{2 x^{2}+5 x-12}$

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Problem 2319

Multiplying Mixed and Improper Fractions: $\frac{2}{8} \times 4=$ $x$ $=$ x $=$ $=$

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Problem 2320

Question 12 of 12 Submit Test GR06 Math Accel_FSQ02 FY25
Question 1-12 Match each expression in the top row with an equivalent expression from the first column. Not all expressions in the first column will be used. \begin{tabular}{|l|c|c|c|} & $\frac{5}{3}(-18 x+2)+6 x$ & $\frac{2}{3}(2 x+9)-6$ & $\frac{3}{2}(5 x-4)+5$ \\ \hline $\frac{4 x}{3}$ & $\square$ & $\square$ & $\square$ \\ \hline $\frac{15 x}{2}$ & $\square$ & $\square$ & $\square$ \\ \hline $\frac{15 x}{2}-1$ & $\square$ & $\square$ & $\square$ \\ \hline $\frac{4 x}{3}+3$ & $\square$ & $\square$ & $\square$ \\ \hline $-24 x+\frac{10}{3}$ & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular} Previous (II) Pause Test

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Problem 2321

$\frac{x^{2}+3 x-20}{6-x}-\frac{3 x+16}{6-x}$

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Problem 2322

Evaluate the following. $||3-4|-|9||$

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Problem 2323

19) $4 \sqrt{15}(\sqrt{6}+\sqrt{5})$ 20) $-\sqrt{2}(\sqrt{10}-4 \sqrt{6})$

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Problem 2324

Save \& Exit Certify Lesson: 7.3 Logarithmic Functions and The...
Question 14 of 15 , Step 1 of 1 11/15 Correct
Evaluate the following logarithmic expression without the use of a calculator. Write your answer as a fraction reduced to lowest terms. $\ln \left(\sqrt[8]{e^{5}}\right)$
Answer How to enter your answer (opens in new window)

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Problem 2325

$x^{3}+5 x^{2}+2 x+1$ by $x+5$

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Problem 2326

Find the exact value of $\tan I$ in simplest radical form.

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Problem 2327

$\int \sqrt{x}\left(1+x^{\frac{3}{2}}\right)^{5} d x$

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Problem 2328

$\int \sqrt{x}\left(1+x^{\frac{3}{2}}\right)^{5} d x$ $\frac{2}{3}\left(\frac{1}{6}\right)\left(1+x^{\frac{3}{2}}\right)^{6}+C$ $\frac{1}{6}\left(1+x^{\frac{3}{2}}\right)^{6}+C$ $\left(1+x^{\frac{3}{2}}\right)^{5}+C$ $\frac{2}{3} \frac{\sqrt{x}}{6}\left(1+x^{\frac{3}{2}}\right)^{6}+C$

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Problem 2329

A rectangular room measures 12 m by 7 m . What is the area of this room?

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Problem 2330

Herbert is decorating the bulletin board in the school's lobby. The bulletin board is a 7 ft by 11 ft rectangle. He decides to add a black border around the entire bulletin board. What is the length of border that he needs?

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Problem 2331

Question 20
Simplify. $\frac{x^{4} z^{2}}{x^{3} z^{6}}$ $\square$

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Problem 2332

Find (if possible) the complement and the supplement of each angle. (If not possible, enter IMPOSSIBLE.) (a) $\frac{\pi}{10}$ complement $\square$ radians supplement $\square$ radians (b) $\frac{9 \pi}{10}$ complement radians supplement $\square$ radians

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Problem 2333

29) Evaluate $\frac{(5-8)^{2}}{7}$ by order of operation .

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Problem 2334

Evaluate $75-\frac{3(4+12 \div 2)^{2}}{3+2}$ by order of

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Problem 2335

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 800$ and the annual interest rate is $3 \%$ ? $\text { Interest = } \$[?]$

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Problem 2336

Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. $29 n^{7}+27 n^{2}+44 n+7$ $\square$
Save answer

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Problem 2337

Factor completely. $16 x^{2}-40 x-56$

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Problem 2338

Factor completely. $2 t^{2}-4 t-30$
Save answer

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Problem 2339

ng trigonometry, work out the perimeter of the right-angled triangle below. Give your answer in metres to 1 d.p.
Not drawn accurately

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Problem 2340

What is $5 \sqrt{147}-2 \sqrt{75}$ simplified completely? A. $10 \sqrt{3}$ B. $25 \sqrt{3}$ C. $35 \sqrt{3}$ D. $40 \sqrt{3}$

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Problem 2341

Use the laws of logarithms to expand and simplify the expression. $\ln (x(x+4)(x+6))$ $\square$ Check which variable(s) should be in your answer. Need Help? Read It Watch it

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Problem 2342

5.) For the following expression, what are the restrictions on the variable? (2 points) $\frac{2(x-7)(x+1)}{(x+5)(x-3)}$ 6.) Multiply: $\frac{x+5}{5 x+20} \cdot \frac{x^{2}-5 x-36}{x-9}$ (3 points) $\qquad$ 7.) Multiply: $\frac{35}{5 x^{2}+30 x} \cdot \frac{x^{2}-36}{x}$ (3 points) 8.) Divide: $\frac{x^{2}+2 x-24}{27 x+63} \div \frac{3}{9 x+21}$ (4 points)

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Problem 2343

Señale la(s) expresión(es) que sea(n) equivalente(s) a la expresión dada: $2 \sqrt{a}+5 \sqrt{a}$ $10 \sqrt{a}$ $7 a$ $7 \sqrt{a}$ $7 a^{2}$

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Problem 2344

1. Fractions
Solve the following without using a calculator. (Recall, for a final answer, fractions must be represented in their most simplified form.) a. $\left(-\frac{2}{6}\right)+\frac{3}{5}$ b. $\frac{1}{2}-\frac{6}{15}$

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Problem 2345

A continuación, se presentan varias multiplicaciones entre polinomios. Relaciona cada una con el prodłıcto notable que se podría utilizar. Hay algunas que no corresponden a ningún caso de producto notable. Identifícalas. $\qquad$ $\qquad$ Binomio al Cuadrado (Resta por Resta) Binomios Conjugados (Suma por Resta) Binomio al Cuadrado (Suma por Suma) $\square$ Binomio al Cubo: Resta al Cubo
1. $(5-3 x)(5+3 x)$
2. $(x-1)(x-1)$
3. $(5-3 x)(-3 x+5)$
4. $(\sqrt{x}+2)(\sqrt{x}+2)(\sqrt{x}+2)$ MacBook Air

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Problem 2346

(a) $\iint_{S} x+z d S$ where $S$ is the first-octant portion of the cylinder $y^{2}+z^{2}=9$ where

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Problem 2347

Write $\log _{3}(z)+\log _{3}(z+2)$ as a single logarithm. Assume all arguments re $\log _{3}($ $\square$ Question Help: Video $\square$ ) ) $\square$ Message instructor
Submit Question $\square$ Question 10
Write the following as a single logarithm. Assume all variables are positive. $5 \log _{2}(a)+2 \log _{2}(x)=$ $\square$ The answer format in lowercase characters is: log_base (number) Spaces in the answer are optional. Question Help: $\square$ Message instructor Submit Question

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Problem 2348

¿Cuál de las siguientes expresiones corresponde al resultado de resolver y simplificar al máximo la expresión? $\left(x^{2}+\sqrt{x}\right)\left(x^{2}-\sqrt{x}\right)$ $x^{2}+x$ $x^{2}-2 \sqrt{x}+x$ $x^{2}+2 \sqrt{x}+x$ $x^{4}-x$

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Problem 2349

Answer the following. Round your answers to the nearest hundredth. (a) Convert $-\frac{18 \pi}{19}$ radians to degree measure. $\square$ (b) Convert -2.61 radians to degree measure. $\square$

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Problem 2350

Question 5 (1 point) How many mm^2 are in $0.65 \mathrm{~km}^{\wedge} 2$ ? $4.2 \times 10^{\wedge} 12 \mathrm{~mm}^{\wedge} 2$ $6.5 \times 10^{\wedge} 5 \mathrm{~mm} \wedge 2$ $6.5 \times 10^{\wedge} 11 \mathrm{~mm}^{\wedge} 2$ $6.5 \times 10^{\wedge}-13 \mathrm{~mm}^{\wedge} 2$ $6.5 \times 10^{\wedge}-7 \mathrm{~mm}^{\wedge} 2$

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Problem 2351

a) $7^{2}+3^{2}=$ ig b) $4^{4} \div 2^{5}=$ c) $(2)(3)-(4)^{2}=$ d) $(-2)+3^{0} \times(-2)=$

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Problem 2352

Question 12
Simplify the radical expression by rationalizing the denominator. $\frac{8 \sqrt{9}}{\sqrt{45}}$ $\frac{8 \sqrt{45}}{45}$ $\frac{8}{\sqrt{36}}$ $\frac{8 \sqrt{45}}{23}$ $\frac{8 \sqrt{5}}{5}$

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Problem 2353

Key Concept Two points lie on a horizontal line in the coordinate plane when their $y$ -coordinates are the same. For instance, we know that $(2,4)$ and $(5,4)$ lie on a horizontal line because they both have a $y$ -coordinate of 4 .
If the Ys are the same, look at the Xs . slide sv
What is the distance? Students, enter a number! Pear Oeck Interactive Slide Do not remove this bar

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Problem 2354

Simplify and express the answer with positive exponents. $\begin{array}{l} \left(x^{\frac{1}{6}} y^{-\frac{1}{4}}\right)\left(x^{\frac{5}{8}} y^{\frac{1}{2}}\right) \\ \left(x^{\frac{1}{6}} y^{-\frac{1}{4}}\right)\left(x^{\frac{5}{8}} y^{\frac{1}{2}}\right)=\square \end{array}$ (Simplify your answer. Use integers or fractions for any nur

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Problem 2355

$\cos \frac{13 \pi}{12}$

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Problem 2356

Evaluate $\lim _{x \rightarrow 0} \frac{2 x}{\sin 6 x}$

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Problem 2357

Express in simplest radical form. $4 \sqrt{7}+7 \sqrt{7}$
Answer $\square$ Submit Answer

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Problem 2358

How many ways can the letters in MAXIMUM be arranged? Well, there are 7 letters, so that would be $7!$ if they were all different. But that counts MAXIMUM as a new arrangement (switching the M's around). To avoid recounting these "arrangements," note that every ordering appears $3!=6$ times because of the matching M's. To eliminate all those duplicates from consideration, divide by 3!. This reveals that there are actually 840 ( 7 ! divided by 3 !) distinct permutations of the letters in MAXIMUM. Similarly, there would be 1260 ( $7!$ divided by 212!) different ways to arrange the letters in DOTPLOT. There would be $7!$ arrangements if they were all different, reduced by a factor of $2!$ for the matching O's and $2!$ for the matching Ts. Complete parts a through f below. a) How many ways can the letters in the word OHIO be arranged? $\square$

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Problem 2359

How many ways can the letters in MAXIMUM be arranged? Well, there are 7 letters, so that would be $7!$ if they were all different. But that counts MAXIMUM as a new arrangement (switching the M's around). To avoid recounting these "arrangements," note that every ordering appears $31=6$ times because of the matching M's. To eliminate all those duplicates from consideration, divide by 31. This reveals that there are actually 840 ( 7 ! divided by 3!) distinct permutations of the letters in MAXIMUM. Similarly, there would be 1260 (7! divided by 2!2!) different ways to arrange the letters in DOTPLOT. There would be $7!$ arrangements if they were all different, reduced by a factor of 21 for the matching O 's and $2!$ for the matching Ts. Complete parts a through f below. a) How many ways can the letters in the word OHIO be arranged?
12 b) How many ways can the letters in the word ALASKA be arranged? $\square$

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Problem 2360

How many ways can the letters in MAXIMUM be arranged? Well, there are 7 letters, so that would be $7!$ if they were all different. But that counts MAXIMUM as a new arrangement (switching the M's around). To avoid recounting these "arrangements," note that every ordering appears $3!=6$ times because of the matching M's. To eliminate all those duplicates from consideration, divide by 3!. This reveals that there are actually 840 (7! divided by 3!) distinct permutations of the letters in MAXIMUM. Similarly, there would be 1260 (71 divided by 2121) different ways to arrange the letters in DOTPLOT. There would be $7!$ arrangements if they were all different, reduced by a factor of 21 for the matching O's and $2!$ for the matching Ts. Complete parts a through f below. a) How many ways can the letters in the word OHIO be arranged?
12 b) How many ways can the letters in the word ALASKA be arranged?
120 c) How many ways can the letters in the word MONTANA be arranged?
1260 d) How many ways can the letters in the word ARKANSAS be arranged? $\square$

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Problem 2361

What is the value of a power if the exponent is 0 ? We can use patterns to find out. Let's look at powers of 3. Notice that as we decrease the exponent of 3 by 1 , we divide the product by 3 . $\begin{array}{l} 3^{4}=81 \\ 3^{3}=27\left\{\begin{array} { l } { \div 3 } \\ { 3 ^ { 2 } = } \\ { 3 ^ { 1 } = - } \\ { 3 ^ { 0 } = } \end{array} \left\{\begin{array}{l} \div 3 \\ \div 3 \end{array}\right.\right. \end{array}$

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Problem 2362

$\left(5 x^{3}+31 x^{2}+23 x-35\right) \div(x+5)$ a $\quad 6 x^{2}-5 x-7, x \neq-5$ b $\quad 5 x^{2}+6 x-7, x \neq-5$ c $\quad 5 x^{2}-6 x-7, x \neq-5$ d $\quad 6 x^{2}-5 x+7, x \neq-5$ e $\quad 5 x^{2}+6 x+7, x \neq-5$

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Problem 2363

36) If $Z_{1}$ is the conjugate of the number $Z_{2}$ , then $Z_{1} Z_{2}+\left(Z_{1}+Z_{2}\right)$ is (a) a real number. $-z i_{1}+2 i_{2}$ $\qquad$ (b) an imaginary. (c) complex, not real. z. $i \times i+i$ . (d) undetermined.

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Problem 2364

4. Simplify: a) $15^{6} \cdot 15^{-2}=15^{6+(-2)}=15^{6-2}=15^{4}$ b) $13^{3} \cdot 13^{-3}=$ c) $11^{7} \cdot 11^{-4}=$ d) $10^{5} \cdot 10^{-2}=$ e) $y^{5} \div y^{3}=y^{5-3}=y^{2}$ f) $x^{6} \div x^{4}=$ g) $a^{7} \div a^{2}=$ h) $y^{5} \div y^{2}=$ i) $\left(7^{2}\right)^{3}=7^{2 \cdot 3}=7^{6}$ j) $\left(5^{3}\right)^{4}=$ k) $\left(2^{2}\right)^{6}=$

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Problem 2365

67) $\frac{3}{5}+\frac{1}{4}-\frac{7}{10}$ işleminin sonucu kaçtır? A) $\frac{3}{20}$ B) $\frac{1}{5}$ C) $\frac{1}{4}$ D) $\frac{3}{10}$

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Problem 2366

If the above pyramid is dilated using a scale factor of 2 , what would be the new volume? To find the volume of a (1 point) $\square$

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Problem 2367

Use the image to $V=512 \mathrm{~m}^{3} \quad V=1728 \mathrm{~m}^{3}$
The two cubes are similar in shape. Compare the volume of the two and determine the scale factor from the smaller cube to the larger cube. En fraction. (1 point) $\square$ Check answer Remaining Attempts : 3

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Problem 2368

The length of the base of a parallelogram is 14 centimeters, and the corresponding height is $h$ centimeters. Which formula can be used to find $A$ , the area of the parallelogram in square centimeters? (A) $A=14+h$ (B) $A=14 h$ (C) $A=\frac{1}{2}(14 h)$ (D) $A=\frac{1}{2}(14+h)$

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Problem 2369

Problem 2 Using sum and difference identities, simplify the following expression. $\begin{array}{lc} \cos (u-v)=\cos u \cos v+\sin u \sin v & \cos (q-r)-\cos (q+r) \\ \cos (u+v)=\cos u \operatorname{cov}-\sin u \sin v & (\cos q \cos r+\sin q \sin r)-(\cos q \cos r-\sin q \sin r) \end{array}$

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Problem 2370

hich pair of ratios does not form a true proportion? :14 and 20:35 B. 6 to 10 and 15 to 25 C. $\frac{9}{4}$ and $\frac{36}{16}$ D. $12: 15$ and $30: 40$

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Problem 2371

Question 3 of 25
Multiply. $(3 x+2)(3 x-2)$ A. $9 x^{2}-4$ B. $9 x^{2}+4$ C. $9 x^{2}-12 x-4$ D. $9 x^{2}+12 x-4$

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Problem 2372

Question 4 of 25 Which is a correct expansion of $(3 x+2)\left(3 x^{2}+4\right)$ ? A. $3 x \cdot 3 x^{2}+3 x \cdot 4+2 \cdot 3 x^{2}+2 \cdot 4$ B. $3 x \cdot 3 x^{2}+2 \cdot 3 x^{2}+3 x^{2} \cdot 4+2 \cdot 4$ C. $3 x \cdot 3 x^{2}+3 x \cdot 4+2 \cdot 3 x+2 \cdot 4$

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Problem 2373

Subtract. $\left(5 x^{2}+7\right)-(3 x-2)$ A. $2 x^{2}+9$ B. $5 x^{2}-3 x+9$ C. $5 x^{2}-3 x+5$ D. $2 x^{2}+5$

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Problem 2374

What is the degree of the polynemial below? $x^{5}+1-3 x^{4}+3 x^{9}-2 x$ A. 6 B. 9 C. 4 D. 3 8ummit

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Problem 2375

Question 8 of 25
Add. $\left(7 x^{2}-2 x\right)+(4 x-3)$ A. $7 x^{2}-6 x+3$ B. $11 x^{2}-5 x$ C. $28 x^{3}-29 x^{2}+6 x$ D. $7 x^{2}+2 x-3$ SUBMIT

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Problem 2376

Question 16 of 25
Add. $(3 x-4)+(4 x-6)$ A. $7 x-2$ B. $7 x+10$ C. $7 x-10$ D. $7 x+2$

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Problem 2377

Question 19 of 25
Mültiply. $\begin{array}{r} x^{2}+3 x+2 \\ \times \quad 2 x^{2}+3 x-1 \\ \hline \end{array}$ A. $2 x^{4}+9 x^{3}+12 x^{2}+3 x-2$ B. $3 x^{2}+6 x+1$ c. $2 x^{4}+21 x^{2}+3 x-2$ D. $2 x^{4}+9 x^{2}-2$

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Problem 2378

Question 20 of 25
Multiply. $(x-6)(5 x-4)$ A. $5 x^{2}-26 x-24$ B. $5 x^{2}-30 x+24$ C. $5 x^{2}-34 x+24$ D. $5 x^{2}-30 x-24$

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Problem 2379

$3(x+1)(x-6)$

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Problem 2380

a). $2 \log _{3} 2+\log _{3} 5-\log _{3} 18-\log _{3} 10$

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Problem 2381

$(x+2)(x+10)$

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Problem 2382

To do Chelsea Academy |- 24,134 XP Nawal 5B 5 C 5D 5 E 5 F $\checkmark$ 5G 5H 51 5 J 5K 5L Sumr
The compound shape below is formed from rectangle ABDE and right-angled triangle BCD.
What is the area of this shape? Give your answer in $\mathrm{cm}^{2}$ and give any decimal answers to $1 \mathrm{~d} . \mathrm{p}$ .

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Problem 2383

Select expressions equivalent to: SELECT ALL APPLICABLE $\tan (x+y)$ $\frac{\sin (x+y)}{\cos (x+y)}$ A) C) $\frac{\frac{\sin (x) \cos (y)}{\cos (x) \cos (y)}+\frac{\cos (x) \sin (y)}{\cos (x) \cos (y)}}{\frac{\cos (x) \cos (y)}{\cos (x) \cos (y)}+\frac{\sin (x) \sin (y)}{x \cos (x)}}$ B) $\frac{\sin (x) \cos (y)+\cos (x) \sin (y)}{\cos (x) \cos (y)-\sin (x) \sin (y)}$

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Problem 2384

$x-3 y^{3}+3 x^{3}-5 x-x^{3}-x-2 x^{3}$

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Problem 2385

$\int\left(3 x^{5}+7 x^{2}+8\right) d x$

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Problem 2386

a $\frac{\cos \alpha \sqrt{1-\cos ^{2} \alpha}}{1-\sin ^{2} \alpha}$

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Problem 2387

$17 \%$ of 400 is

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Problem 2388

Calculate the corporate income tax for Quarter 1. Use a corporate income tax rate of $21 \%$ . \begin{tabular}{|l|r|r|} \hline \multicolumn{3}{|c|}{ Income Statement } \\ \hline & Q1 (x1000) & Q2 (x1000) \\ \hline Net Sales & 112 & 174 \\ \hline COGS & $(18)$ & $(32)$ \\ \hline Gross Profit & 94 & 142 \\ \hline Overhead & $(29)$ & $(51)$ \\ \hline Pre-tax Income & 65 & 91 \\ \hline \end{tabular}
Corporate Income Tax = \$ [?] Multiply the product by 1000 to answer in dollars.

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Problem 2389

Question 10
There are 32 students in the middle school choir. How can this number be written as a power with a base of 2? Explain how you found your answer. (i) Instructions
100 of 100 words remaining B $\underline{\cup} \quad I$ $I_{x} r$

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Problem 2390

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

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Problem 2391

Simplify the following expression completely: $-(3 x)^{3}$ . Enter your answer below without using any parentheses. You do not need them!

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Problem 2392

Simplify the following expression completely: $\left(2 x^{9} y^{7}\right)^{3}$ Answer: $\square$ Submit Question

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Problem 2393

dent/3511142/25572425/87de596685885aeafa411311cfaaa61f
Triangle $O P Q$ is formed by connecting the midpoints of the side of triangle $L M N$ . The measures of the interior angles of triangle $L M N$ are shown. Find the measure of $\angle L O Q$ . Figures not necessarily drawn to scale.

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Problem 2394

Jse the properties of logarithms to expand the following expression. $\log \left(\frac{x^{5}}{z \sqrt[3]{y^{2}}}\right)$
Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. $\log \left(\frac{x^{5}}{z \sqrt[3]{y^{2}}}\right)=$ $\square$

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Problem 2395

2. Common factor each expression. a) $2 a+2 b$ b) $-10 x-15 x^{3}$ c) $c^{3}-c^{2}+c$

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Problem 2396

Use the properties of logarithms to evaluate each of the following expressions. (a) $3 \ln e^{4}-\ln e^{8}=$ $\square$ (b) $\log _{12} 3+\log _{12} 4=$ $\square$

See Solution

Problem 2397

$\int \sin (6 \pi) d x=$ a) $-\cos (6 \pi)+C$ b) $\sin (6 \pi) x+C$ c) $-\cos (6 \pi) x+C$ d) $x+C$

See Solution

Problem 2398

$3.1 \mathrm{If} x=40^{\circ}$ and $y=35^{\circ}$ , determine: 3.1.1 $\cot x-\sec y$ $3.1 .2 \operatorname{cosec} x+\sin y$ 3.1.3 sec $x+\operatorname{cosec} y$ 3.1.4 $\sin ^{2} x+\cos ^{2} x$

See Solution

Problem 2399

Sanjay, Colby, and Arpitha are training to run a marathon. On Saturday, Sanjay ran $\sqrt{125}$ miles, Colby ran 13 miles, and Arpitha ran the shortest route from the library to her house, as shown in the diagram.
Arpitha's Home
Which list shows the names in order from the person who ran the shortest distance to the one who ran the greatest distance? Colby, Sanjay, Arpitha Sanjay, Arpitha, Colby Mark this and return Save and Exit Next Submit

See Solution

Problem 2400

c) $2(4 x-1)^{2}-(3 x-2)^{3}$

See Solution

Expression

Problem 2301

23. 11012−11129907\begin{array}{r}1101_{2} \\ -\quad 111_{2} \\ \hline 990_{7}\end{array}11012​−1112​9907​​​

Problem 2302

(2) 1001\mathbf{1 0 0 1}1001 in binary is equal to \qquad in decimal

Problem 2303

Problem 2304

Problem 2305

1. lim⁡x→+∞1xtan⁡(2x)[2pts]\lim _{x \rightarrow+\infty} \frac{\frac{1}{x}}{\tan \left(\frac{2}{x}\right)}[2 p t s]limx→+∞​tan(x2​)x1​​[2pts]

Problem 2306

Problem 2307

Convert the decimal number '42' to binary:Answer: □\square□

Problem 2308

(1,6),(8,2);a(1,6),(8,2) ; a(1,6),(8,2);a a. m=m=m= \qquad b. \qquad c. \qquad

Problem 2309

PR NINI Donta Pak karta mensual larma yang telah dikemas. Setiap comasan borisis sobuah xumai ika terdapat 27 katmasan dikios Pak lartia maka berapa banyat flurtha Joum d Joal pat karta seurohny yay_{a}ya​

Problem 2310

Vilken är al [Cu2+]\left[\mathrm{Cu}^{2+}\right][Cu2+], b) [NO3−]\left[\mathrm{NO}_{3}^{-}\right][NO3−​]i en lösning med koncentrationen 0,15 mol/dm3Cu(NO3)20,15 \mathrm{~mol} / \mathrm{dm}^{3} \mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}0,15 mol/dm3Cu(NO3​)2​ ?

Problem 2311

Problem 2312

Fuclorise 9x2−149 x^{2}-\frac{1}{4}9x2−41​

Problem 2313

Specify the maximum decimal number that can fit in a 3 bits signed register:Answer: □\square□

Problem 2314

o) log⁡0.250.0625\log _{0.25} 0.0625log0.25​0.0625

Problem 2315

2342 \frac{3}{4}243​

Problem 2316

3.20 g/cm3→ kg/m33.20 \mathrm{~g} / \mathrm{cm}^{3} \rightarrow \mathrm{~kg} / \mathrm{m}^{3}3.20 g/cm3→ kg/m3

Problem 2317

When the population mean is known, thenSelect one: a. We used the population mean to estimate the sample SD b. We used the sample SD to estimate the population mean c. We used the sample mean to estimate the population mean d. None of the above

Problem 2318

Problem 2319

Multiplying Mixed and Improper Fractions: 28×4=\frac{2}{8} \times 4=82​×4= xxx === x === ===

Problem 2320

Problem 2321

x2+3x−206−x−3x+166−x\frac{x^{2}+3 x-20}{6-x}-\frac{3 x+16}{6-x}6−xx2+3x−20​−6−x3x+16​

Problem 2322

Evaluate the following. ∣∣3−4∣−∣9∣∣||3-4|-|9||∣∣3−4∣−∣9∣∣

Problem 2323

19) 415(6+5)4 \sqrt{15}(\sqrt{6}+\sqrt{5})415​(6​+5​) 20) −2(10−46)-\sqrt{2}(\sqrt{10}-4 \sqrt{6})−2​(10​−46​)

Problem 2324

Problem 2325

x3+5x2+2x+1x^{3}+5 x^{2}+2 x+1x3+5x2+2x+1 by x+5x+5x+5

Problem 2326

Find the exact value of tan⁡I\tan ItanI in simplest radical form.

Problem 2327

∫x(1+x32)5dx\int \sqrt{x}\left(1+x^{\frac{3}{2}}\right)^{5} d x∫x​(1+x23​)5dx

Problem 2328

Problem 2329

A rectangular room measures 12 m by 7 m . What is the area of this room?

Problem 2330

Herbert is decorating the bulletin board in the school's lobby. The bulletin board is a 7 ft by 11 ft rectangle. He decides to add a black border around the entire bulletin board. What is the length of border that he needs?

Problem 2331

Question 20Simplify. x4z2x3z6\frac{x^{4} z^{2}}{x^{3} z^{6}}x3z6x4z2​ □\square□

Problem 2332

Find (if possible) the complement and the supplement of each angle. (If not possible, enter IMPOSSIBLE.) (a) π10\frac{\pi}{10}10π​ complement □\square□ radians supplement □\square□ radians (b) 9π10\frac{9 \pi}{10}109π​ complement radians supplement □\square□ radians

Problem 2333

29) Evaluate (5−8)27\frac{(5-8)^{2}}{7}7(5−8)2​ by order of operation .

Problem 2334

Evaluate 75−3(4+12÷2)23+275-\frac{3(4+12 \div 2)^{2}}{3+2}75−3+23(4+12÷2)2​ by order of

Problem 2335

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $800\$ 800$800 and the annual interest rate is 3%3 \%3% ? Interest = $[?]\text { Interest = } \$[?] Interest = $[?]

Problem 2336

Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. 29n7+27n2+44n+729 n^{7}+27 n^{2}+44 n+729n7+27n2+44n+7 □\square□Save answer

Problem 2337

Factor completely. 16x2−40x−5616 x^{2}-40 x-5616x2−40x−56

Problem 2338

Factor completely. 2t2−4t−302 t^{2}-4 t-302t2−4t−30Save answer

Problem 2339

ng trigonometry, work out the perimeter of the right-angled triangle below. Give your answer in metres to 1 d.p.Not drawn accurately

Problem 2340

What is 5147−2755 \sqrt{147}-2 \sqrt{75}5147​−275​ simplified completely? A. 10310 \sqrt{3}103​ B. 25325 \sqrt{3}253​ C. 35335 \sqrt{3}353​ D. 40340 \sqrt{3}403​

Problem 2341

Use the laws of logarithms to expand and simplify the expression. ln⁡(x(x+4)(x+6))\ln (x(x+4)(x+6))ln(x(x+4)(x+6)) □\square□ Check which variable(s) should be in your answer. Need Help? Read It Watch it

Problem 2342

Problem 2343

Señale la(s) expresión(es) que sea(n) equivalente(s) a la expresión dada: 2a+5a2 \sqrt{a}+5 \sqrt{a}2a​+5a​ 10a10 \sqrt{a}10a​ 7a7 a7a 7a7 \sqrt{a}7a​ 7a27 a^{2}7a2

Problem 2344

1. FractionsSolve the following without using a calculator. (Recall, for a final answer, fractions must be represented in their most simplified form.) a. (−26)+35\left(-\frac{2}{6}\right)+\frac{3}{5}(−62​)+53​ b. 12−615\frac{1}{2}-\frac{6}{15}21​−156​

23. $\begin{array}{r}1101_{2} \\ -\quad 111_{2} \\ \hline 990_{7}\end{array}$

(2) $\mathbf{1 0 0 1}$ in binary is equal to $\qquad$ in decimal

1. $\lim _{x \rightarrow+\infty} \frac{\frac{1}{x}}{\tan \left(\frac{2}{x}\right)}[2 p t s]$

Convert the decimal number '42' to binary:
Answer: $\square$

$(1,6),(8,2) ; a$ a. $m=$ $\qquad$ b. $\qquad$ c. $\qquad$

PR NINI Donta Pak karta mensual larma yang telah dikemas. Setiap comasan borisis sobuah xumai ika terdapat 27 katmasan dikios Pak lartia maka berapa banyat flurtha Joum d Joal pat karta seurohny $y_{a}$

Vilken är al $\left[\mathrm{Cu}^{2+}\right]$ , b) $\left[\mathrm{NO}_{3}^{-}\right]$ i en lösning med koncentrationen $0,15 \mathrm{~mol} / \mathrm{dm}^{3} \mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}$ ?

Fuclorise $9 x^{2}-\frac{1}{4}$

Specify the maximum decimal number that can fit in a 3 bits signed register:
Answer: $\square$

o) $\log _{0.25} 0.0625$

$2 \frac{3}{4}$

$3.20 \mathrm{~g} / \mathrm{cm}^{3} \rightarrow \mathrm{~kg} / \mathrm{m}^{3}$

When the population mean is known, then
Select one: a. We used the population mean to estimate the sample SD b. We used the sample SD to estimate the population mean c. We used the sample mean to estimate the population mean d. None of the above

Multiplying Mixed and Improper Fractions: $\frac{2}{8} \times 4=$ $x$ $=$ x $=$ $=$

$\frac{x^{2}+3 x-20}{6-x}-\frac{3 x+16}{6-x}$

Evaluate the following. $||3-4|-|9||$

19) $4 \sqrt{15}(\sqrt{6}+\sqrt{5})$ 20) $-\sqrt{2}(\sqrt{10}-4 \sqrt{6})$

$x^{3}+5 x^{2}+2 x+1$ by $x+5$

Find the exact value of $\tan I$ in simplest radical form.

$\int \sqrt{x}\left(1+x^{\frac{3}{2}}\right)^{5} d x$

Question 20
Simplify. $\frac{x^{4} z^{2}}{x^{3} z^{6}}$ $\square$

Find (if possible) the complement and the supplement of each angle. (If not possible, enter IMPOSSIBLE.) (a) $\frac{\pi}{10}$ complement $\square$ radians supplement $\square$ radians (b) $\frac{9 \pi}{10}$ complement radians supplement $\square$ radians

29) Evaluate $\frac{(5-8)^{2}}{7}$ by order of operation .

Evaluate $75-\frac{3(4+12 \div 2)^{2}}{3+2}$ by order of

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 800$ and the annual interest rate is $3 \%$ ? $\text { Interest = } \$[?]$

Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. $29 n^{7}+27 n^{2}+44 n+7$ $\square$
Save answer

Factor completely. $16 x^{2}-40 x-56$

Factor completely. $2 t^{2}-4 t-30$
Save answer

ng trigonometry, work out the perimeter of the right-angled triangle below. Give your answer in metres to 1 d.p.
Not drawn accurately

What is $5 \sqrt{147}-2 \sqrt{75}$ simplified completely? A. $10 \sqrt{3}$ B. $25 \sqrt{3}$ C. $35 \sqrt{3}$ D. $40 \sqrt{3}$

Use the laws of logarithms to expand and simplify the expression. $\ln (x(x+4)(x+6))$ $\square$ Check which variable(s) should be in your answer. Need Help? Read It Watch it

Señale la(s) expresión(es) que sea(n) equivalente(s) a la expresión dada: $2 \sqrt{a}+5 \sqrt{a}$ $10 \sqrt{a}$ $7 a$ $7 \sqrt{a}$ $7 a^{2}$

1. Fractions
Solve the following without using a calculator. (Recall, for a final answer, fractions must be represented in their most simplified form.) a. $\left(-\frac{2}{6}\right)+\frac{3}{5}$ b. $\frac{1}{2}-\frac{6}{15}$

(a) $\iint_{S} x+z d S$ where $S$ is the first-octant portion of the cylinder $y^{2}+z^{2}=9$ where

Answer the following. Round your answers to the nearest hundredth. (a) Convert $-\frac{18 \pi}{19}$ radians to degree measure. $\square$ (b) Convert -2.61 radians to degree measure. $\square$

a) $7^{2}+3^{2}=$ ig b) $4^{4} \div 2^{5}=$ c) $(2)(3)-(4)^{2}=$ d) $(-2)+3^{0} \times(-2)=$

Question 12
Simplify the radical expression by rationalizing the denominator. $\frac{8 \sqrt{9}}{\sqrt{45}}$ $\frac{8 \sqrt{45}}{45}$ $\frac{8}{\sqrt{36}}$ $\frac{8 \sqrt{45}}{23}$ $\frac{8 \sqrt{5}}{5}$

$\cos \frac{13 \pi}{12}$

Evaluate $\lim _{x \rightarrow 0} \frac{2 x}{\sin 6 x}$

Express in simplest radical form. $4 \sqrt{7}+7 \sqrt{7}$
Answer $\square$ Submit Answer

67) $\frac{3}{5}+\frac{1}{4}-\frac{7}{10}$ işleminin sonucu kaçtır? A) $\frac{3}{20}$ B) $\frac{1}{5}$ C) $\frac{1}{4}$ D) $\frac{3}{10}$

If the above pyramid is dilated using a scale factor of 2 , what would be the new volume? To find the volume of a (1 point) $\square$

hich pair of ratios does not form a true proportion? :14 and 20:35 B. 6 to 10 and 15 to 25 C. $\frac{9}{4}$ and $\frac{36}{16}$ D. $12: 15$ and $30: 40$

Question 3 of 25
Multiply. $(3 x+2)(3 x-2)$ A. $9 x^{2}-4$ B. $9 x^{2}+4$ C. $9 x^{2}-12 x-4$ D. $9 x^{2}+12 x-4$

Subtract. $\left(5 x^{2}+7\right)-(3 x-2)$ A. $2 x^{2}+9$ B. $5 x^{2}-3 x+9$ C. $5 x^{2}-3 x+5$ D. $2 x^{2}+5$

What is the degree of the polynemial below? $x^{5}+1-3 x^{4}+3 x^{9}-2 x$ A. 6 B. 9 C. 4 D. 3 8ummit