Math Statement

Problem 15301

b) [6 pts] Let f be a continuous function such that: $\arccos \left(\sqrt{\frac{x}{8}}\right) \arctan \left(\frac{x}{4}\right)+x^{2}=\int_{0}^{\sqrt{x}} f(t) d t .$
Find $f(2)$ .

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Problem 15302

Submit Answer
6. [-/1 Points]
DETAILS MY NOTES SCALCET9 4.9.021.
Find the most general antiderivative of the function. (Check your answer by differentiation. Use $C$ for the constant of the antiderivative.) $f(\theta)=4 \sin (\theta)-9 \sec (\theta) \tan (\theta) \quad$ on the interval $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ $F(\theta)=$ $\square$
Need Help? Read it $\square$ Submit Answer

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Problem 15303

Write the product as a sum: $20 \cos (25 r) \sin (21 r)=$
Question Help: Video Message instructror

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Problem 15304

Solve for $y$ . $2(3 y-7)=16$
Simplify your answer as much as possible.

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Problem 15305

Given the functions $f$ and $g$ below, find $f(g(-1))$ . $\begin{array}{l} f(x)=-x^{2}+6 x+3 \\ g(x)=2 x+3 \end{array}$
Provide your answer below: $f(g(-1))=$

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Problem 15306

Add. $-\frac{1}{3}+\frac{5}{9}$
Write your answer in simplest form.

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Problem 15307

$\int x e^{-x} d x$

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Problem 15308

A square matrix $A$ is idempotent if $A^{2}=A$ . Let $V$ be the vector space of all $2 \times 2$ matrices with real entries. Let $H$ be the set of all $2 \times 2$ idempotent matrices with real entries. Is $H$ a subspace of the vector space $V$ ?
1. Does $H$ contain the zero vector of $V$ ? choose
2. Is $H$ closed under addition? If it is, enter CLOSED. If it is not, enter two matrices in $H$ whose sum is not in $H$ , using a comma separated list and syntax such as $[[1,2],[3,4]],[[5,6],[7,8]]$ for the answer $\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right],\left[\begin{array}{ll}5 & 6 \\ 7 & 8\end{array}\right]$ . (Hint: to show that $H$ is not closed under addition, it is sufficient to find two idempotent matrices $A$ and $B$ such that $(A+B)^{2} \neq(A+B)$ .) $\square$
3. Is $H$ closed under scalar multiplication? If it is, enter CLOSED. If it is not, enter a scalar in $\mathbb{R}$ and a matrix in $H$ whose product is not in $H$ , using a comma separated list and syntax such as $2,[[3,4],[5,6]]$ for the answer $2,\left[\begin{array}{ll}3 & 4 \\ 5 & 6\end{array}\right]$ . (Hint: to show that $H$ is not closed under scalar multiplication, it is sufficient to find a real number $r$ and an idempotent matrix $A$ such that $(r A)^{2} \neq(r A)$ .) $\square$
4. Is $H$ a subspace of the vector space $V$ ? You should be able to justify your answer by writing a complete, coherent, and detailed proof based on your answers to parts 1-3. choose

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Problem 15309

Si $\vec{u}=[3,4]$ et $\vec{v}=[6, k]$ , quelle est la valeur de $k$ si les deux vecteurs sont orthogonaux.

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Problem 15310

$\iint \sqrt{1-x^{2}-y^{2}} d x d y=\quad, x^{2}+y^{2} \leq 1$

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Problem 15311

Find the real zeros of f . Use the real zeros to factor f . $f(x)=x^{4}+10 x^{3}-20 x^{2}-90 x+99$

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Problem 15312

Question 6 (1 point) Saved
Determine the phase shift of the sinusoidal function $y=-5 \sin \left(3 x-\frac{3 \pi}{2}\right)-5$ $\frac{3 \pi}{2} \mathrm{rad}$ $\frac{\pi}{2} \mathrm{rad}$ 0.5 rad to the right 0.5 rad to the left
Question 7 (1 point) $\checkmark$ Saved
An equivalent trigonometric expression for $\sin \left(\frac{\pi}{2}-x\right)$ is $\sin x$ $\tan x$ $\cos x$ none of the above
Question 8 (1 point) $\checkmark$ Saved
An equivalent trigonometric expression for $\cos (-x)$ is $\sin x$ $-\sin x$ $\cos x$

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Problem 15313

$\frac{36}{6} \cdot 32(36 \cdot 384)=$

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Problem 15314

Let $\mathcal{P}_{2}$ be the vector space of all polynomials of degree 2 or less, and let $H$ be the subspace spanned by $-(2 x+1), x^{2}-2 x-3$ and $6 x-4 x^{2}+11$ a. The dimension of the subspace $H$ is $\square$ b. Is $\left\{-(2 x+1), x^{2}-2 x-3,6 x-4 x^{2}+11\right\}$ a basis for $\mathcal{P}_{2}$ ? choose $\square$ Be sure you can explain and justify your answer. c. A basis for the subspace $H$ is \{ $\square$ \}. Enter a polynomial or a comma separated list of polynomials.

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Problem 15315

Find a basis for the column space of $A=\left[\begin{array}{cccc} 4 & 2 & 0 & -1 \\ -4 & -4 & -3 & 1 \\ 4 & 2 & 0 & -1 \end{array}\right]$

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Problem 15316

True or False $\quad$ NO 10 $x=0$ 为 $y=\sin \frac{1}{x}$ 的振荡间断点（） $\text { 2. } x=\pi / 2 \text { 为 } y=\tan x \text { 的无穷间断 }$

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Problem 15317

Find the complex zeros of the following polynomial function. Write $f$ in factored form. $f(x)=2 x^{4}-13 x^{3}-16 x^{2}+243 x-116$
The complex zeros of f are $\frac{1}{2},-4,5+2 i, 5-2 i$ . (Simplify your answer. Type an exact answer, using radicals and $i$ as needed. Use integers or fractions for any nu separate answers as needed.)
Use the complex zeros to factor f. $f(x)=$ $\square$

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Problem 15318

To find the null space of the matrix
$\begin{bmatrix} 1 & 7 & -2 & 14 & 0 \\ 3 & 0 & 1 & -2 & 3 \\ 6 & 1 & -1 & 0 & 4 \end{bmatrix}$
and express it as $\operatorname{span}\{A, B\}$ , where $A$ and $B$ are vectors that form a basis for the null space.

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Problem 15319

Work out the value of $a$ in the equation below. $x^{2}-14 x+49=(x-a)^{2}$

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Problem 15320

Find the complex zeros of the following polynomial function. Write $f$ in factored form. $f(x)=7 x^{4}-x^{3}-21 x^{2}+367 x-52$

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Problem 15321

Fill in the gaps to factorise this expression. $m^{2}-64=(m+\ldots)(m-\ldots)$

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Problem 15322

Evaluate the following. $4 \times 4-6-14 \div 2$

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Problem 15323

Fill in the gaps to factorise this expression. $x^{2}+6 x-27=(x-\not)(x+\ldots)$

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Problem 15324

Evaluate $(8-4) \div 2$ .

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Problem 15325

Expand and simplify $(2 a+3)(4 a+5)$

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Problem 15326

Graph the inequality. $y \geq x-6$
Use the graphing tool on the right to graph the inequality. $\square$ Click to enlaftge graph

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Problem 15327

Factorise $m^{2}+12 m+32$ fully

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Problem 15328

$10-\sin \theta+\cos \theta \cot a n \theta=\operatorname{cosec} \theta$

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Problem 15329

1. Simplify the fraction $\frac{12}{32}$ .

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Problem 15330

Identify the graph for the inequalities $\frac{x}{8}>0$ or $-4 x \geq 32$ .

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Problem 15331

Calculate the value of $\frac{130}{64}$ .

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Problem 15332

Calculate the value of $2 \frac{2}{4}$ .

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Problem 15333

Solve for $n$ in the equation: $-18=-4 n+5-3$ .

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Problem 15334

Solve for $n$ : $-18=-4 n+5-3$

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Problem 15335

Solve for $k$ in the equation: $-39 - 5k = 7(3 - 5k)$ .

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Problem 15336

Find the inverse of the function $R(x)=2x+1$ , which is $R^{-1}(x)=\frac{x-1}{2}$ .

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Problem 15337

Calculate $801 \div 9 - 11$ .

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Problem 15338

Calculate $42 \times 178 + 3$ .

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Problem 15339

Calculate the value of $\left(5^{2}+12^{2}\right)^{\frac{1}{2}}$ .

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Problem 15340

Solve for $m$ in the equation: $-7(6+4 m)=-8 m+38$ .

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Problem 15341

Find the inverse of the function $Q(x)=\frac{2 x-7}{4}$ . Show all work.

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Problem 15342

Find the equation for the function shaped like $f(x)=x^{2}$ , shifted 3 right and 7 down: $g(x)=$

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Problem 15343

Write the equation for a function like $f(x)=|x|$ , shifted left 1 and down 9.
$g(x)=$

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Problem 15344

Find the 3rd term of the geometric sequence defined by $a_1=5$ and $a_n=a_{n-1} \cdot 3$ . A. 45 B. 11 C. 125 D. 15

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Problem 15345

Identify the explicit formula for the geometric sequence: $0.5, -0.1, 0.02, -0.004, 0.0008, \ldots$ from the options.

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Problem 15346

Find the 300th term of the sequence 57, 66, 75, 84, 93 using $a_{n}=a_{1}+(n-1) \cdot d$ . Options: A. 2784 B. 2691 C. 2748 D. 2757

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Problem 15347

Find the 13th term of the sequence given by $a_{n}=84+(n-1)(-6)$ . A. 156 B. 12 C. 2 D. 162

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Problem 15348

Determine the common ratio of the geometric sequence: 243, 27, 3, $\frac{1}{3}$ , $\frac{1}{27}$ . A. 3 B. $\frac{1}{3}$ C. $\frac{1}{9}$ D. 9

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Problem 15349

Find the 3rd term of the sequence defined by: $a_1 = -6$ , $a_n = a_{n-1} + 2$ . A. -10 B. -2 C. -18 D. -4

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Problem 15350

Find the zeros of the function $f(x)=x^{2}-45$ using the square root method. What are the $x$ -intercepts?

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Problem 15351

Find the real zeros of the function $f(x)=x^{2}+6x+4$ using the quadratic formula. Choose A, B, or C for answers.

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Problem 15352

Complete the symbols for these atoms: 28 protons & 30 neutrons, 22 protons & 21 neutrons, 15 electrons & 19 neutrons, O with 10 neutrons, Cr with mass number 54.

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Problem 15353

Find the real zeros and x-intercepts of the function $f(x)=x^{2}+10x+22$ using the quadratic formula.

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Problem 15354

Calculate: $78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}$ , $7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}$ , and $626.45 \mathrm{mol} \div 34.3 \mathrm{L}$ .

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Problem 15355

Find when the ball hits the ground and when it passes the building using $S(t)=64+48t-16t^2$ .

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Problem 15356

Calculate the following: $78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}$ , $7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}$ , and $626.45 \mathrm{mol} \div 34.3 \mathrm{L}$ .

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Problem 15357

Calculate the expression: $5 \times 5 \div 9 \times 1 + 2$ .

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Problem 15358

Calculate the value of $333 \sqrt{777}$ .

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Problem 15359

Find the profit function $P(x)=-0.001 x^{2}+2.45 x-510$ and determine the $x$ for max profit. What is the max profit in \$?

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Problem 15360

Find the weekly profit function $P(x)$ for a sandwich store given cost $C(x)=555.00+0.45x$ and revenue $R(x)=-0.001x^{2}+3x$ . Simplify your answer.

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Problem 15361

Find the number of roast beef sandwiches to maximize profit from $P(x)=-0.001 x^{2}+2.45 x-515.00$ . What is the max profit?

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Problem 15362

Find the angle $C$ if $\tan C=0.1405$ .

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Problem 15363

Multiply or divide these measurements, ensuring correct significant digits: 20.947 g/mL × 25 mL = \square g 996.90 mol ÷ 33.96 L = \square mol/L 978.4 g ÷ 0.53 mL = \square g/mL

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Problem 15364

Identify the property shown in the equation: $1 \cdot \frac{4}{5} = \frac{4}{5}$ .

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Problem 15365

Multiply or divide these measurements, ensuring answers have correct significant digits:
1. $20.947 \frac{\mathrm{g}}{\mathrm{mL}} \times 25 \mathrm{mL} = \square \mathrm{g}$
2. $996.90 \mathrm{mol} \div 33.96 \mathrm{L} = \square \frac{\mathrm{mol}}{\mathrm{L}}$
3. $978.4 \mathrm{g} \div 0.53 \mathrm{mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}$

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Problem 15366

Calculate the following:
1) $78.08 \frac{\mathrm{mol}}{\mathrm{L}} \times 40 \mathrm{L} = \square \mathrm{mol}$
2) $0.93 \frac{\mathrm{mol}}{\mathrm{L}} \times 2.025 \mathrm{L} = \square \mathrm{mol}$
3) $599.25 \mathrm{m} \div 42.528 \mathrm{s} = \square \frac{\mathrm{m}}{\mathrm{s}}$

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Problem 15367

Find the intersection points of the quadratics $f(x) = x^{2}+2x-8$ and $g(x) = x^{2}-2x-4$ .

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Problem 15368

Find $x$ for these equations: a) $\frac{x}{2}-7=14$ b) $\frac{6 x}{8}+3=-7$ c) $\frac{8}{x}+4=9.10 \times 10^{-2}$ d) $\frac{3}{4 x}-1.5=2.70 \times 10^{3}$ .

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Problem 15369

Calculate the following: 15.707 g - 1.47 g, 6.727 g + 1.40 g, and 8.87 g - 0.600 g.

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Problem 15370

Solve the equation: $\frac{6 x}{8}+3=-7$ .

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Problem 15371

Calculate the following: 8.627 mL + 1.77 mL = ?, 2.900 mL + 18.8 mL = ?, 15.82 mL - 0.577 mL = ?

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Problem 15372

Calculate the following: 1) $10.970 \mathrm{~g}-1.17 \mathrm{~g}=$ ? 2) $3.907 \mathrm{~g}-1.57 \mathrm{~g}=$ ? 3) $17.50 \mathrm{~g}+0.7 \mathrm{~g}=$ ?

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Problem 15373

Solve for $x$ in the equation: $12-\frac{4}{5}(x+15)=4$ .

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Problem 15374

Calculate the following: 15.527 g - 1.5 g = $\square$ g, 13.900 g + 0.87 g = $\square$ g, 1.920 g - 0.8 g = $\square$ g.

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Problem 15375

Multiply or divide these measurements:
1. $78.08 \frac{\mathrm{mol}}{\mathrm{L}} \times 40 \mathrm{L} = \square \mathrm{mol}$
2. $0.93 \frac{\mathrm{mol}}{\mathrm{L}} \times 2.025 \mathrm{L} = \square \mathrm{mol}$
3. $599.25 \mathrm{m} \div 42.528 \mathrm{s} = \square \frac{\mathrm{m}}{\mathrm{s}}$

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Problem 15376

Calculate the following: $15.700 \mathrm{~mL}-13.80 \mathrm{~mL}=\square \mathrm{mL}$ , $8.70 \mathrm{~mL}+17.6 \mathrm{~mL}=\square \mathrm{mL}$ , $16.920 \mathrm{~mL}+0.5 \mathrm{~mL}=\square \mathrm{mL}$ .

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Problem 15377

Evaluate the expression and express the result as $a + bi$ : $\frac{4}{1+i} - \frac{4}{1-i}$

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Problem 15378

Evaluate the quotient and express it as $a + bi$ : $\frac{(7+2 i)(8-i)}{2+i}$ .

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Problem 15379

Solve for $h$ in the equation: $\frac{2}{5} h - 7 = \frac{12}{5} h - 2h + 3$ .

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Problem 15380

Find the quotient and express it as $a + b i$ : $\frac{3-i}{4+3 i}$ . Simplify your answer.

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Problem 15381

Find the $z$ -score for a value of 99 in a normal distribution with mean 92 and standard deviation 6. Round to two decimals.

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Problem 15382

Solve the equation $t + 1 + \frac{1}{t} = 0$ and express solutions as $a + bi$ .

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Problem 15383

Solve the equation $x^{2}+3 x+8=0$ and express solutions as $a+b i$ .

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Problem 15384

Solve for $q$ : $-5(3-q)+4=5q-11$ .

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Problem 15385

Simplify the expression by combining like terms: $x(3-y)+y(x+6)$ .

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Problem 15386

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=x^{2}+8x+5$ , where $h \neq 0$ .

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Problem 15387

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=x^{2}+3x-9$ , where $h \neq 0$ .

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Problem 15388

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=9x+4$ , where $h \neq 0$ .

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Problem 15389

Convert these to percentages: 5.45, 190.8, $\frac{5}{6}$ , $\frac{3}{8}$ , $\frac{1}{8}$ , $\frac{4}{5}$ .

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Problem 15390

Convert these percents to decimals: a. $27 \%$ , b. $\frac{2}{5} \%$ , c. $16 \frac{2}{3} \%$ , d. $\frac{1}{3} \%$ .

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Problem 15391

Finde die Lösung für das Gleichungssystem:
$4 x_{1}-2 x_{2}+2 x_{3} = 3$ , $3 x^{2}+3 x^{3} = -3$ , $4 x_{1}+x^{2}+4 x^{3} = 5$ .

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Problem 15392

Find real values of $x$ for the following: a. $\sqrt{x}=6$ , b. $\sqrt{x}=-6$ , c. $\sqrt{-x}=-6$ , d. $\sqrt{x}>0$ , e. $\sqrt{-x}=6$ , f. $\sqrt{x}<0$ .

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Problem 15393

Solve the system of equations: $x + 2y - z = 2$ , $x + y + 2z = 9$ , $2x + 3y - 3z = -1$ .

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Problem 15394

Find (a) $f(-1)$ , (b) $f(0)$ , and (c) $f(4)$ for the piecewise function $f(x)$ defined as: $f(x)=\left\{\begin{array}{ll} x^{2} & \text { if } x<0 \\ 0 & \text { if } x=0 \\ 3 x+3 & \text { if } x>0 \end{array}\right.$

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Problem 15395

Find $f(0)$ , $f(1)$ , $f(5)$ , and $f(6)$ for the piecewise function: $f(x)=\begin{cases}3x-4 & \text{if } -3 \leq x \leq 5 \\ x^3-5 & \text{if } 5<x \leq 6\end{cases}$ .

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Problem 15396

Compare $6^{2}+14 \div 2$ and $100-8^{2}$ : Is it equal, greater, or less?

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Problem 15397

What is $91 \div 5$ ?

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Problem 15398

Compare $|-12|$ and $|8|$ . Which is true: $|-12|<|8|$ , $|-12|>|8|$ , or $|-12|=|8|$ ?

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Problem 15399

Determine the true statement for $x=-5$ : $x^{2}+10$ , $x+x+x$ are equal, or one is greater than the other.

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Problem 15400

Add or subtract these measurements, ensuring the correct significant digits:
8.70 mL - 7.8 mL = \square mL 17.570 mL + 18.8 mL = \square mL 11.9 mL + 13.577 mL = \square mL

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1 ...151 152 153 154 155 156 157 ...270

Math Statement

Problem 15301

b) [6 pts] Let f be a continuous function such that: arccos⁡(x8)arctan⁡(x4)+x2=∫0xf(t)dt.\arccos \left(\sqrt{\frac{x}{8}}\right) \arctan \left(\frac{x}{4}\right)+x^{2}=\int_{0}^{\sqrt{x}} f(t) d t .arccos(8x​​)arctan(4x​)+x2=∫0x​​f(t)dt.Find f(2)f(2)f(2).

Problem 15302

Problem 15303

Write the product as a sum: 20cos⁡(25r)sin⁡(21r)=20 \cos (25 r) \sin (21 r)=20cos(25r)sin(21r)=Question Help: Video Message instructror

Problem 15304

Solve for yyy. 2(3y−7)=162(3 y-7)=162(3y−7)=16Simplify your answer as much as possible.

Problem 15305

Given the functions fff and ggg below, find f(g(−1))f(g(-1))f(g(−1)). f(x)=−x2+6x+3g(x)=2x+3\begin{array}{l} f(x)=-x^{2}+6 x+3 \\ g(x)=2 x+3 \end{array}f(x)=−x2+6x+3g(x)=2x+3​Provide your answer below: f(g(−1))=f(g(-1))=f(g(−1))=

Problem 15306

Add. −13+59-\frac{1}{3}+\frac{5}{9}−31​+95​Write your answer in simplest form.

Problem 15307

∫xe−xdx\int x e^{-x} d x∫xe−xdx

Problem 15308

Problem 15309

Si u⃗=[3,4]\vec{u}=[3,4]u=[3,4] et v⃗=[6,k]\vec{v}=[6, k]v=[6,k], quelle est la valeur de kkk si les deux vecteurs sont orthogonaux.

Problem 15310

∬1−x2−y2dxdy=,x2+y2≤1\iint \sqrt{1-x^{2}-y^{2}} d x d y=\quad, x^{2}+y^{2} \leq 1∬1−x2−y2​dxdy=,x2+y2≤1

Problem 15311

Find the real zeros of f . Use the real zeros to factor f . f(x)=x4+10x3−20x2−90x+99f(x)=x^{4}+10 x^{3}-20 x^{2}-90 x+99f(x)=x4+10x3−20x2−90x+99

Problem 15312

Problem 15313

366⋅32(36⋅384)=\frac{36}{6} \cdot 32(36 \cdot 384)=636​⋅32(36⋅384)=

Problem 15314

Problem 15315

Find a basis for the column space of A=[420−1−4−4−31420−1]A=\left[\begin{array}{cccc} 4 & 2 & 0 & -1 \\ -4 & -4 & -3 & 1 \\ 4 & 2 & 0 & -1 \end{array}\right]A=⎣⎡​4−44​2−42​0−30​−11−1​⎦⎤​

Problem 15316

True or False \quad NO 10 x=0x=0x=0 为 y=sin⁡1xy=\sin \frac{1}{x}y=sinx1​ 的振荡间 断点（） 2. x=π/2 为 y=tan⁡x 的无穷间断 \text { 2. } x=\pi / 2 \text { 为 } y=\tan x \text { 的无穷间断 } 2. x=π/2 为 y=tanx 的无穷间断

Problem 15317

Problem 15318

Problem 15319

Work out the value of aaa in the equation below. x2−14x+49=(x−a)2x^{2}-14 x+49=(x-a)^{2}x2−14x+49=(x−a)2

Problem 15320

Find the complex zeros of the following polynomial function. Write fff in factored form. f(x)=7x4−x3−21x2+367x−52f(x)=7 x^{4}-x^{3}-21 x^{2}+367 x-52f(x)=7x4−x3−21x2+367x−52

Problem 15321

Fill in the gaps to factorise this expression. m2−64=(m+…)(m−…)m^{2}-64=(m+\ldots)(m-\ldots)m2−64=(m+…)(m−…)

Problem 15322

Evaluate the following. 4×4−6−14÷24 \times 4-6-14 \div 24×4−6−14÷2

Problem 15323

Fill in the gaps to factorise this expression. x2+6x−27=(x−)̸(x+…)x^{2}+6 x-27=(x-\not)(x+\ldots)x2+6x−27=(x−)(x+…)

Problem 15324

Evaluate (8−4)÷2(8-4) \div 2(8−4)÷2.

Problem 15325

Expand and simplify (2a+3)(4a+5)(2 a+3)(4 a+5)(2a+3)(4a+5)

Problem 15326

Graph the inequality. y≥x−6y \geq x-6y≥x−6Use the graphing tool on the right to graph the inequality. □\square□ Click to enlaftge graph

Problem 15327

Factorise m2+12m+32m^{2}+12 m+32m2+12m+32 fully

Problem 15328

10−sin⁡θ+cos⁡θcot⁡anθ=cosec⁡θ10-\sin \theta+\cos \theta \cot a n \theta=\operatorname{cosec} \theta10−sinθ+cosθcotanθ=cosecθ

Problem 15329

1. Simplify the fraction 1232\frac{12}{32}3212​.

Problem 15330

Identify the graph for the inequalities x8>0\frac{x}{8}>08x​>0 or −4x≥32-4 x \geq 32−4x≥32.

Problem 15331

Calculate the value of 13064\frac{130}{64}64130​.

Problem 15332

Calculate the value of 2242 \frac{2}{4}242​.

Problem 15333

Solve for nnn in the equation: −18=−4n+5−3-18=-4 n+5-3−18=−4n+5−3.

Problem 15334

Solve for nnn: −18=−4n+5−3-18=-4 n+5-3−18=−4n+5−3

Problem 15335

Solve for kkk in the equation: −39−5k=7(3−5k)-39 - 5k = 7(3 - 5k)−39−5k=7(3−5k).

Problem 15336

Find the inverse of the function R(x)=2x+1R(x)=2x+1R(x)=2x+1, which is R−1(x)=x−12R^{-1}(x)=\frac{x-1}{2}R−1(x)=2x−1​.

Problem 15337

Calculate 801÷9−11801 \div 9 - 11801÷9−11.

Problem 15338

Calculate 42×178+342 \times 178 + 342×178+3.

Problem 15339

Calculate the value of (52+122)12\left(5^{2}+12^{2}\right)^{\frac{1}{2}}(52+122)21​.

Problem 15340

Solve for mmm in the equation: −7(6+4m)=−8m+38-7(6+4 m)=-8 m+38−7(6+4m)=−8m+38.

Problem 15341

Find the inverse of the function Q(x)=2x−74Q(x)=\frac{2 x-7}{4}Q(x)=42x−7​. Show all work.

Problem 15342

Find the equation for the function shaped like f(x)=x2f(x)=x^{2}f(x)=x2, shifted 3 right and 7 down: g(x)=g(x)=g(x)=

Problem 15343

b) [6 pts] Let f be a continuous function such that: $\arccos \left(\sqrt{\frac{x}{8}}\right) \arctan \left(\frac{x}{4}\right)+x^{2}=\int_{0}^{\sqrt{x}} f(t) d t .$
Find $f(2)$ .

Write the product as a sum: $20 \cos (25 r) \sin (21 r)=$
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Solve for $y$ . $2(3 y-7)=16$
Simplify your answer as much as possible.

Given the functions $f$ and $g$ below, find $f(g(-1))$ . $\begin{array}{l} f(x)=-x^{2}+6 x+3 \\ g(x)=2 x+3 \end{array}$
Provide your answer below: $f(g(-1))=$

Add. $-\frac{1}{3}+\frac{5}{9}$
Write your answer in simplest form.

$\int x e^{-x} d x$

Si $\vec{u}=[3,4]$ et $\vec{v}=[6, k]$ , quelle est la valeur de $k$ si les deux vecteurs sont orthogonaux.

$\iint \sqrt{1-x^{2}-y^{2}} d x d y=\quad, x^{2}+y^{2} \leq 1$

Find the real zeros of f . Use the real zeros to factor f . $f(x)=x^{4}+10 x^{3}-20 x^{2}-90 x+99$

$\frac{36}{6} \cdot 32(36 \cdot 384)=$

Find a basis for the column space of $A=\left[\begin{array}{cccc} 4 & 2 & 0 & -1 \\ -4 & -4 & -3 & 1 \\ 4 & 2 & 0 & -1 \end{array}\right]$

True or False $\quad$ NO 10 $x=0$ 为 $y=\sin \frac{1}{x}$ 的振荡间断点（） $\text { 2. } x=\pi / 2 \text { 为 } y=\tan x \text { 的无穷间断 }$

Work out the value of $a$ in the equation below. $x^{2}-14 x+49=(x-a)^{2}$

Find the complex zeros of the following polynomial function. Write $f$ in factored form. $f(x)=7 x^{4}-x^{3}-21 x^{2}+367 x-52$

Fill in the gaps to factorise this expression. $m^{2}-64=(m+\ldots)(m-\ldots)$

Evaluate the following. $4 \times 4-6-14 \div 2$

Fill in the gaps to factorise this expression. $x^{2}+6 x-27=(x-\not)(x+\ldots)$

Evaluate $(8-4) \div 2$ .

Expand and simplify $(2 a+3)(4 a+5)$

Graph the inequality. $y \geq x-6$
Use the graphing tool on the right to graph the inequality. $\square$ Click to enlaftge graph

Factorise $m^{2}+12 m+32$ fully

$10-\sin \theta+\cos \theta \cot a n \theta=\operatorname{cosec} \theta$

1. Simplify the fraction $\frac{12}{32}$ .

Identify the graph for the inequalities $\frac{x}{8}>0$ or $-4 x \geq 32$ .

Calculate the value of $\frac{130}{64}$ .

Calculate the value of $2 \frac{2}{4}$ .

Solve for $n$ in the equation: $-18=-4 n+5-3$ .

Solve for $n$ : $-18=-4 n+5-3$

Solve for $k$ in the equation: $-39 - 5k = 7(3 - 5k)$ .

Find the inverse of the function $R(x)=2x+1$ , which is $R^{-1}(x)=\frac{x-1}{2}$ .

Calculate $801 \div 9 - 11$ .

Calculate $42 \times 178 + 3$ .

Calculate the value of $\left(5^{2}+12^{2}\right)^{\frac{1}{2}}$ .

Solve for $m$ in the equation: $-7(6+4 m)=-8 m+38$ .

Find the inverse of the function $Q(x)=\frac{2 x-7}{4}$ . Show all work.

Find the equation for the function shaped like $f(x)=x^{2}$ , shifted 3 right and 7 down: $g(x)=$

Write the equation for a function like $f(x)=|x|$ , shifted left 1 and down 9.
$g(x)=$

Find the 3rd term of the geometric sequence defined by $a_1=5$ and $a_n=a_{n-1} \cdot 3$ . A. 45 B. 11 C. 125 D. 15

Identify the explicit formula for the geometric sequence: $0.5, -0.1, 0.02, -0.004, 0.0008, \ldots$ from the options.

Find the 300th term of the sequence 57, 66, 75, 84, 93 using $a_{n}=a_{1}+(n-1) \cdot d$ . Options: A. 2784 B. 2691 C. 2748 D. 2757

Find the 13th term of the sequence given by $a_{n}=84+(n-1)(-6)$ . A. 156 B. 12 C. 2 D. 162

Determine the common ratio of the geometric sequence: 243, 27, 3, $\frac{1}{3}$ , $\frac{1}{27}$ . A. 3 B. $\frac{1}{3}$ C. $\frac{1}{9}$ D. 9

Find the 3rd term of the sequence defined by: $a_1 = -6$ , $a_n = a_{n-1} + 2$ . A. -10 B. -2 C. -18 D. -4

Find the zeros of the function $f(x)=x^{2}-45$ using the square root method. What are the $x$ -intercepts?

Find the real zeros of the function $f(x)=x^{2}+6x+4$ using the quadratic formula. Choose A, B, or C for answers.

Find the real zeros and x-intercepts of the function $f(x)=x^{2}+10x+22$ using the quadratic formula.

Calculate: $78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}$ , $7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}$ , and $626.45 \mathrm{mol} \div 34.3 \mathrm{L}$ .

Find when the ball hits the ground and when it passes the building using $S(t)=64+48t-16t^2$ .

Calculate the following: $78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}$ , $7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}$ , and $626.45 \mathrm{mol} \div 34.3 \mathrm{L}$ .

Calculate the expression: $5 \times 5 \div 9 \times 1 + 2$ .

Calculate the value of $333 \sqrt{777}$ .

Find the profit function $P(x)=-0.001 x^{2}+2.45 x-510$ and determine the $x$ for max profit. What is the max profit in \$?

Find the weekly profit function $P(x)$ for a sandwich store given cost $C(x)=555.00+0.45x$ and revenue $R(x)=-0.001x^{2}+3x$ . Simplify your answer.

Find the number of roast beef sandwiches to maximize profit from $P(x)=-0.001 x^{2}+2.45 x-515.00$ . What is the max profit?

Find the angle $C$ if $\tan C=0.1405$ .

Identify the property shown in the equation: $1 \cdot \frac{4}{5} = \frac{4}{5}$ .

Find the intersection points of the quadratics $f(x) = x^{2}+2x-8$ and $g(x) = x^{2}-2x-4$ .

Find $x$ for these equations: a) $\frac{x}{2}-7=14$ b) $\frac{6 x}{8}+3=-7$ c) $\frac{8}{x}+4=9.10 \times 10^{-2}$ d) $\frac{3}{4 x}-1.5=2.70 \times 10^{3}$ .

Solve the equation: $\frac{6 x}{8}+3=-7$ .

Calculate the following: 1) $10.970 \mathrm{~g}-1.17 \mathrm{~g}=$ ? 2) $3.907 \mathrm{~g}-1.57 \mathrm{~g}=$ ? 3) $17.50 \mathrm{~g}+0.7 \mathrm{~g}=$ ?

Solve for $x$ in the equation: $12-\frac{4}{5}(x+15)=4$ .

Calculate the following: 15.527 g - 1.5 g = $\square$ g, 13.900 g + 0.87 g = $\square$ g, 1.920 g - 0.8 g = $\square$ g.