Math

Problem 65801

Determine the ingredient amounts for 12 brownies based on a recipe for 16 brownies.

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Problem 65802

Simplify the expression: $\left(5 n^{3}-5 n^{2}-6 n^{4}\right)+\left(7 n^{4}+n^{2}-4 n\right)$ .

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Problem 65803

Find the slope of a line perpendicular and a line parallel to $y=-\frac{2}{5} x+8$ .

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Problem 65804

Simplify the expression by combining like terms: $-2 x - 2 y^{2} - 3 - 4 y^{2} - 5 x + 1$

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Problem 65805

Simplify the expression: $(4 x^{2}+7 x-4 x^{4})-(6 x^{4}-5 x+1)$ .

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Problem 65806

Find the slope of a line parallel and a line perpendicular to $y=3x-7$ .

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Problem 65807

A ball is thrown down at $50 \mathrm{ft/s}$ from a 56 ft building. Find the time it stays in the air using $s(t)=-16 t^{2}-50 t+56$ .

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Problem 65808

Simplify the expression: $3(x^{2}+2x+5)+2(x^{2}+3x+2)$ .

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Problem 65809

Find the slope of a line perpendicular and parallel to $y=\frac{1}{2} x$ .

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Problem 65810

Round 6386 to the nearest hundred. What is the result?

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Problem 65811

Graph the function $f(x)=\frac{1}{9} x^{2}$ and find its domain and range.

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Problem 65812

Combine the polynomials: $(4v^4 + v + 4v^3) + (8v^4 + 7v + 3v^3)$ .

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Problem 65813

Find the equation of the line that goes through the point $(10,3)$ with a slope of $-\frac{3}{2}$ .

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Problem 65814

Find the velocity function $v(t)$ for the hummingbird's position $s(t)=-10 t^{3}-t-6$ in feet.

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Problem 65815

Simplify the expression: $(3 b^{4}+2 b^{3}+6 b)+(8 b^{2}-7 b^{4}-3 b)$ .

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Problem 65816

Graph the function $f(x)=\frac{1}{9} x^{2}$ and find its domain and range. Choose from A, B, C, or D.

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Problem 65817

$\text{Calculate the total amount of money based on the extracted text from the dollar notes.}$
\begin{align} \text{One Dollar Notes:} & \quad 1 \times 9 = 9 \text{ dollars} \\ \text{Five Dollar Notes:} & \quad 5 \times 3 = 15 \text{ dollars} \\ \end{align}
$\text{Total Amount: } 9 + 15 = 24 \text{ dollars}$

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Problem 65818

$16 x^{4}-25 x=021-18011$

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Problem 65819

ب) جد المعادلة الديكارتبة للمعادللتين البار امتريتين : $0 \leq t \leq 2 ، x=\sqrt{4-t^{2}}$ ،

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Problem 65820

Find the area of the region enclosed by the curves $y=2 \cos x$ and $y=2 \cos 2 x$ for $0 \leq x \leq \pi$ .

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Problem 65821

Find $\frac{d y}{d x}$ of the following finctions: if $y=2 \cos 2 x-1$

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Problem 65822

In a standard deck of cards, what is the probability that you will get a 2 or a face card? Provide four decimal digits.
Add your answer Integer, decimal, or E notation allowed $\qquad$ 2 Poin
Question 7
Two fair dice are thrown. What is the probability that the sum shown on the dice is divisible by 5? Provide four decimal digits.
Add your answer Integer, decimal, or Enotation allowed

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Problem 65823

9. Find the equation of a line perpendicular to the line $x-2 y-3=0$ and passing through the point $(1,-2)$

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Problem 65824

The number of ways of arranging letters of word HAVANA such that $V$ and $N$ do not appear together is
Only one correct answer A. 20 B. 40 C. 80 D. 160

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Problem 65825

Question 58: Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys $A$ and $B$ , who refuse to be the members of the same team, is
Only one correct answer A. 200 B. 350 C. 500 D. 300

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Problem 65826

Find $\frac{d y}{d x}$ of the following function (1) if $y=\frac{x^{2}}{x+1}$

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Problem 65827

Defferentiate with respect to $x: 4-x^{2}$

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Problem 65828

Find $d y / d x$ by implicit differentiation $x^{3} y^{5}+3 x=8 y^{3}+1$

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Problem 65829

EX02: Soit N ''ensemble des entiers naturels. 1- Remplacer les pointillés par l'un des symboles $\in, \mathcal{C}, \notin$ . $5 \ldots \mathrm{~N}, \quad 5 \ldots P(\mathbb{N}),\{5\} \ldots N, \quad\{5\} \ldots P(\mathbb{N}),\{-3,5,1.1\} \ldots P(\mathbb{N})$ , 2. Soit $F=\{0,7\}$ expliciter $P(\mathbb{F})$ . Puis $P(P(F))$ .Meme question pour $F=\varnothing$

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Problem 65830

In a standard deck of cards, what is the probability that you will get a 5 or a 10 card? Provide four decimal digits.

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Problem 65831

If $f(x, y)=2 x^{2}-y e^{y}$ and the maximum rate of change of $f$ at $(1,0)$ is $a$ then $a^{2}$ equal
Answer: $\square$

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Problem 65832

If $f(x, y)=2 x^{2}-y e^{y}$ and the maximum rate of change of $f$ at $(1,0)$ is $a$ then $a^{2}$ equal
Answer: $\square$

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Problem 65833

Time left 0:18:23
Suppose that the arrival time for all processes is 0 \begin{tabular}{|l|l|l|l|l|} \hline P1 & P2 & P1 & P3 & P1 \\ \hline \multicolumn{2}{|c|}{8} & 18 & 23 & 30 \\ \hline \end{tabular}
What is the turnaround time for P2 a. 8 b. 18 c. 23

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Problem 65834

Given $\vec{F}=4 \hat{i}+5 \hat{j}-6 y \hat{k}$ . Find $\oint \vec{F} \cdot \overrightarrow{d l}$ going around the loop that starts from the point $(0,0,0)$ to the point $(0,0,4)$ then to the point $(0,1,4)$ then to the point $(0,1,0)$ and back to $(0,0,0)$ . a. 4 b. -4 c. 24 d. 0 e. -24

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Problem 65835

Simplify. $\frac{x^{2}}{x^{7}}$

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Problem 65836

Given $\vec{F}=4 \hat{i}+5 \hat{j}-6 y \hat{k}$ . Find $\oint \vec{F} \cdot \overrightarrow{d l}$ going around the loop that starts from the point $(0,0,0)$ to the point $(0,0,4)$ then to the paint $(0,1,4)$ then to the point $(0,1,0)$ and back to $(0,0,0)$ . a. -4 b. -24 c. 0 d. 24 e. 4
Clear my choice

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Problem 65837

Simplify. $\begin{array}{l} 5 b c \\ 35 c d \end{array}$

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Problem 65838

Simplify. $\frac{8 u^{2}}{48 u^{5}}$

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Problem 65839

Rewrite without parentheses and simplify. $(x-4)^{2}$

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Problem 65840

If a random variable X is normally distributed with mean 35 and variance 4, then $P(X<39)$ is equal to a. 0.8413 b. 0.9982 c. 0.9332 d. 0.9772

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Problem 65841

Question $\mathbf{J}$ Not yet answered Marked out of 1.00
The $90^{t h}$ percentile of the standard normal distribution is a. 2.05 b. 1.645 C. 1.96 d. 1.28

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Problem 65842

Exercice $\mathrm{n}^{\circ} 9$ : Soit $a \in] 0,1$ . Montrer à l'aide des accroissements finis que pour tout $n \in \mathbb{N}^{*}$ , $\frac{a}{(n+1)^{1-a}} \leqslant(n+1)^{a}-n^{a} \leqslant \frac{a}{n^{1-a}} .$

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Problem 65843

\begin{align} f(-6) &= 1, \\ f(-5) &= 3, \\ f(-2) &= 0, \\ f(-1) &= -1, \\ f(0) &= 0, \\ f(4) &= 4, \\ f(6) &= 2, \\ f(8) &= 2. \end{align} Determine if the function $f(x)$ is even, odd, or neither based on the given values.

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Problem 65844

Find the slope-intercept form of a line that passes through $(5,-3)$ with a slope of -4.

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Problem 65845

Simplify the expression: $(2 v^{4}+3 v-3 v^{2})+(v^{4}-5 v^{2}+5 v)$ .

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Problem 65846

Determine if the car is moving left or right at $t=8$ for the function $s(t)=-4 t^{3}-10 t^{2}+t-4$ .

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Problem 65847

Find the acceleration function $a(t)$ for the particle with position $s(t)=-3t^{2}-t+1$ (in meters) at time $t$ .

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Problem 65848

Simplify the expression: $\frac{1}{\sqrt{0+14}+\sqrt{14}}$

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Problem 65849

Solve the inequality $x + 5 \leq 3$ and express the solution in interval notation.

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Problem 65850

Find the acceleration of the particle at $t=3$ seconds for the function $s(t)=t^{3}-3 t^{2}-8 t+1$ . Answer in $\mathrm{ft} / \mathrm{s}^{2}$ .

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Problem 65851

Find the slope-intercept form of the line through $(-1,2)$ with slope 5.

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Problem 65852

Solve the inequality $-2 x \leq 12$ and express the solution in interval notation.

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Problem 65853

Simplify the expression: $(x^{3}-4 x^{2}-5 x)-(2 x^{3}+7 x^{2}+2 x)$ .

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Problem 65854

Determine if the train, described by $s(t)=t^{4}-2 t^{3}-5 t^{2}+3$ , is speeding up or slowing down at $t=2$ seconds.

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Problem 65855

Find the equation in point-slope form for a line through $(-3,-2)$ with a slope of 5.

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Problem 65856

Find the equation in point-slope form for the line through $(-10,4)$ with a slope of $\frac{1}{2}$ .

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Problem 65857

Find the interval(s) where the hummingbird slows down for $s(t)=-t^{3}+9 t^{2}-24 t-4$ , $t \geq 0$ .

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Problem 65858

Amy's bike tires have a radius of $28 \mathrm{~cm}$ . After 1,250 revolutions, how far has she traveled in $\mathrm{km}$ ? Use $\frac{22}{7}$ for $\pi$ .

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Problem 65859

Find the equation in point-slope form for a line through $(4,4)$ with slope $-\frac{5}{2}$ .

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Problem 65860

Graph the function $f(x)=|x+4|-4$ and identify its domain and range.

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Problem 65861

Simplify the expression $\frac{a^{57}}{b^{34}} \cdot a b^{33} \cdot a^{33} \cdot \frac{a^{27}}{b^{24}}$ .

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Problem 65862

Simplify $\frac{t^{400}}{t^{100}}$ . What is the result? Options: $t^{500}$ , $300$ , $t^{300}$ , $t^{4}$ .

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Problem 65863

Add without a calculator: $\frac{2}{3}+\frac{1}{15}$ . Enter your answer as a mixed number (e.g., 11/2).

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Problem 65864

Divide using repeated subtraction and standard algorithm: a. $508 \div 15$ b. $659 \div 24$ c. $1024 \div 99$

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Problem 65865

Simplify the expression: $(3 x^{2}-7-x^{3})-(5-8 x^{3}+3 x^{2})$ .

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Problem 65866

Calculate the sum of $\frac{7}{9}$ and $\frac{1}{3}$ .

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Problem 65867

A potato is shot up with a speed of $34 \mathrm{ft/s}$ from a 15 ft tall building. Find how long it's in the air using $s(t)=-16 t^{2}+34 t+15$ .

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Problem 65868

A ball is thrown down at $38 \mathrm{ft/s}$ from a 63 ft building. Find the time it is in the air using $s(t)=-16 t^{2}-38 t+63$ .

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Problem 65869

Determine the slope and $y$ -intercept of the line given by the equation $6x - 2y = 3$ .

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Problem 65870

Simplify the expression: $(5p + p^3 + 3p^4) + (3p^4 - 2p^2 + 4p)$ .

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Problem 65871

Question: Poisson Distribution
Let $X_{1}, X_{2}, \ldots, X_{n}$ be independent and identically distributed (i.i.d.) random variables, where each $X_{i}$ follows a Poisson distribution with parameter $\lambda>0$ . The probability mass function (PMF) for a Poisson random variable is given by:
Likelihood Estimation fo $f_{X}(x ; \lambda)=\frac{\lambda^{x} e^{-\lambda}}{x!}, \quad x=0,1,2, \ldots$ where $\lambda$ is the rate parameter of the Poisson distribution. (a) Write the likelihood function $L(\lambda)$ for the sample $X_{1}, X_{2}, \ldots, X_{n}$ . (b) Derive the log-likelihood function $\ell(\lambda)=\ln L(\lambda)$ . (c) Find the Maximum Likelihood Estimator (MLE) for $\lambda$ by solving $\frac{\partial e(\lambda)}{\partial \lambda}=$ 0 . (d) Verify that the second derivative of the log-likelihood function at the MLE is negative, confirming that the MLE is indeed a maximum. (e) Find the Fisher information for $\lambda, I(\lambda)=-E\left[\frac{\partial^{2} \ell(\lambda)}{\partial \lambda^{2}}\right]$ . (f) Using the MLE and Fisher information, calculate the Cramer-Rao lower bound for the variance of the MLE.

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Problem 65872

5. Design a G-L flip-flop that behaves as follows: If $\mathrm{G}=0$ , the flip-flop does not change its output state. If $G=1$ , the next output state is equal to $L$ . a. Derive the characteristic equation of the G-L flip-flop. b. Convert J-K flip-flop to G-L flip-flop.

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Problem 65873

Downstream sales of inventory
When parents co, sells inventory to subsidiary co its referred to downstream sales, and when subsidiary co sells inventory to parentseb it is called upstream sales. P Company acquired 100 percent ownership of S Corporation in 2017, at book value. S Co purchased inventory from $P$ for $\$ 90,000$ on August 20, 2018, and resold 70 percent of the inventory to unaffiliated companies on December 1, 2018, for $\$ 100,000$ . P produced the inventory sold to $S$ for $\$ 67,000$ . The companies had no other transactions during 2008 Record the elimination entries , and consolidation income statement?

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Problem 65874

A local delivery company has a cumulative frequency table to show the distance it travels to deliver parcels. Distance (km) Cumulative frequency 0

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Problem 65875

Question: Sufficient Estimator for Poisson Distribution
Let $X_{1}, X_{2}, \ldots, X_{n}$ be a random sample from a ${ }^{* *}$ Poisson distribution** with an unknown parameter $\lambda$ , where $\lambda>0$ . The probability mass function (PMF) of each $X_{i}$ is given by: $f(x ; \lambda)=\frac{\lambda^{x} e^{-\lambda}}{x!}, \quad x=0,1,2, \ldots$ (a) Write the likelihood function $L(\lambda)$ based on the random sample $X_{1}, X_{2}, \ldots, X_{n}$ . (b) Use the ${ }^{* *}$ Factorization Theorem** to show that the statistic $T=\sum_{i=1}^{n} X_{i}$ is a ${ }^{* }$ sufficient statistic ${ }^{ }$ for $\lambda$ . (c) Find the ${ }^{ }$ maximum likelihood estimator (MLE) ${ }^{ }$ of $\lambda$ . (d) Show that the statistic $T=\sum_{i=1}^{n} X_{i}$ is a ${ }^{ *}$ complete and sufficient** statistic for $\lambda$ . Justify your answer.

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Problem 65876

Make $k$ the subject of this formula: $m=g k+u$

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Problem 65877

Make $x$ the subject of $\frac{d x}{t}=m$

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Problem 65878

Exercice 3 ( 06 points) 3 kg d'air à la température de $20^{\circ} \mathrm{C}$ et sous une pression de 2 bar sont comprimes pusqua las pression de 10 bar.
Déterminer la variation de l'énergie interne, le travail de compression et la quantité de chaleur échangée au cours de l'évolution, pour les trois cas suivants :
1. Compression isotherme.
2. Compression adiabatique.
التمرين
3. Compression polytropique ( $n=1,3$ ).
صنة دة د.إلهام بن عمر On suppose que l'air est un gaz parfait. ( $C_{\mathrm{v}}=714 \mathrm{~J} \cdot \mathrm{~kg}^{-1} \cdot \mathrm{~K}^{-1}$ et $\left.\mathrm{R}=0,287 \mathrm{~kJ}^{-} \cdot \mathrm{kg}^{-1} \cdot \mathrm{~K}^{-1}\right)$
Réponses 3 \begin{tabular}{|c|c|c|} \hline & Expressions littérales & Résultats numériques \\ \hline \multirow{3}{}{Compression isotherme} & $\Delta U=$ & $\Delta \mathrm{U}=$ \\ \hline & & W = \\ \hline & $\mathrm{Q}=$ & $Q=.!$ \\ \hline \multirow{3}{}{Compression adiabatique} & $\Delta \mathrm{U}=-$ & $\Delta \mathrm{U}=$ \\ \hline & & $\mathrm{W}=$ \\ \hline & $Q=$ & $\mathrm{Q}=$ \\ \hline \multirow{3}{*}{Compression polytropique} & $\Delta \mathrm{U}=$ & $\Delta \mathrm{U}=$ \\ \hline & $\mathrm{W}=$ & w = \\ \hline & $\mathrm{Q}=$ & $\mathrm{Q}=$ \\ \hline \end{tabular}

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Problem 65879

What is the $x$ -intercept of the line $6 x-3 y=24$ ? $x$ -intercept $=$ $\square$

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Problem 65880

The stopwatch shows the time Jeff took to complete a puzzle.
Round this time to 1 d.p. ``` Name Time Abi 3 2. 0 seconds Abdul 2 4.6 seconds Omar 3 1. 7 seconds Jeff ``` $\square$ - $\square$ seconds

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Problem 65881

The mgf of a random variable $X$ is given by $m(t)=\left(0,9+0.1 e^{t}\right)^{3}$ , then $p(X=1)$ is equal to a. 0.0243 b. 0.536 c. 0.027 d. 0.725 e. 0.9

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Problem 65882

Marked out of 1.00
The moment generating function of a random variable X is given by $m(t)=0.3 e^{-t}+0.4+0.3 e^{2 t}$ . Then the mean of X is given by a. 0.4 b. 0.3 c. 0.9 d. 1 e. 2.4

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Problem 65883

Дана пирамида EABCD. Её основание - параллелограмм, диагонали которого пересекаются в точке $O$ . Определи, справедливо ли равенство: $1.2 \overrightarrow{O D}-\overrightarrow{A D}+\overrightarrow{A C}=\overrightarrow{B E}$ $\square$
2. $\overrightarrow{O D}+\overrightarrow{O E}-\overrightarrow{C E}+0,5 \overrightarrow{C A}=\overrightarrow{O B}$ . $\square$
3. $\overrightarrow{A E}-\overrightarrow{O E}+0,5 \overrightarrow{B D}=\overrightarrow{D A}$ . $\square$

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Problem 65884

Exercice ( 5 pts ) On considère la suite $U$ définie par $\left\{\begin{array}{c}U_{0}=\frac{2}{3} \\ U_{n+1}=\frac{3 U_{n}+2}{2 U_{n}+3} ; \forall n \in I N\end{array}\right.$
1. Calculer $\boldsymbol{U}_{\mathbf{1}} ; \boldsymbol{U}_{\mathbf{2}}$
2. Monter que $\forall n \in I N$ on a : $0 \leq U_{n} \leq 1$
3. On pose $V_{n}=\frac{U_{n}-1^{N}}{U_{n}+1}$ a. Monter que la suite $\left(V_{n}\right)$ est une suite géométrique b. Calculer $\boldsymbol{V}_{\boldsymbol{n}}$ puis $\boldsymbol{U}_{\boldsymbol{n}}$ en fonction de $n$ c. Calculer $S_{n}=\sum_{k=0}^{n} V_{n}$ d. Calculer $\lim V_{n} ; \lim U_{n}$ et $\lim S_{n}$

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Problem 65885

Soit $\left\{U_{n}\right\}$ et $\left(V_{n}\right)$ deux suites définies par: $U_{n}=\frac{2^{n}+4 n+3}{2}$ et $V_{n}=\frac{2^{n}-4 n+3}{2}$ On pose $T_{1}=U_{n}+V_{n}$ et $T_{2}=U_{n}-V_{n}$ 1) Montrer que $T_{1}$ est géométrique et que $T_{2}$ est arithmétique ? 2) En déduire $S_{1}$ et $S_{2}$ en fonction de $n$ tels que: $S_{1}=\sum_{K=0}^{n} \boldsymbol{U}_{K}$ et $S_{2}=\sum_{K=0}^{n} V_{K}$

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Problem 65886

Find the limit $\lim _{x \rightarrow a}\left\{[h(x)]^{2}-f(x) g(x)\right\}$ given $\lim _{x \rightarrow a} f(x)=3$ , $\lim _{x \rightarrow a} g(x)=5$ , $\lim _{x \rightarrow a} h(x)=-2$ .

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Problem 65887

Find the $y$ -intercept and slope of the line given by $4 x + 2 y = -2$ . Provide answers in simplest form.

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Problem 65888

Find the value of $|-13|$ . What is your answer?

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Problem 65889

Find the interval(s) where the car moves left for $s(t)=-t^{3}+6 t^{2}+36 t+4$ with $t \geq 0$ .

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Problem 65890

Solve the inequality $-2(4 z+5)>-2 z-22$ and express the solution in interval notation.

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Problem 65891

Determine the slope and $y$ -intercept of the line given by $2x + y = -1$ . Provide your answers in simplest form.

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Problem 65892

Find the $y$ -intercept and slope of the line given by $5x - 4y = 16$ . Provide answers in simplest form.

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Problem 65893

Determine the $y$ -intercept and slope of the line given by $-2 x + 3 y = 5$ . Provide answers in simplest form.

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Problem 65894

Simplify the expression: $(6n - 2n^4 + 7n^2) - (2n - 8n^4 - 8n^2)$ .

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Problem 65895

Simplify the expression: $(1 - 5a - 8a^2) - (8a + 2a^3 - a^2)$ .

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Problem 65896

Solve the inequality $-2(4 z+5)>-2 z-22$ and graph the solution.

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Problem 65897

Add: $-4 + 6 \frac{1}{3}$ . Convert to a fraction, find common denominators, then add. Answer as a mixed number.

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Problem 65898

Graph the equation $y=-2|x-1|+6$ and find the $x$ - and $y$ -intercepts. Choose the correct graph.

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Problem 65899

Find the slope and $y$ -intercept of the line given by $-3x - 5y = -20$ . Then, graph the line.

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Problem 65900

Find the ball's velocity when it first reaches $880 \mathrm{ft}$ , given $s(t)=-16 t^{2}+256 t$ .

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1 ...656 657 658 659 660

Math

Problem 65801

Determine the ingredient amounts for 12 brownies based on a recipe for 16 brownies.

Problem 65802

Simplify the expression: (5n3−5n2−6n4)+(7n4+n2−4n)\left(5 n^{3}-5 n^{2}-6 n^{4}\right)+\left(7 n^{4}+n^{2}-4 n\right)(5n3−5n2−6n4)+(7n4+n2−4n).

Problem 65803

Find the slope of a line perpendicular and a line parallel to y=−25x+8y=-\frac{2}{5} x+8y=−52​x+8.

Problem 65804

Simplify the expression by combining like terms: −2x−2y2−3−4y2−5x+1-2 x - 2 y^{2} - 3 - 4 y^{2} - 5 x + 1−2x−2y2−3−4y2−5x+1

Problem 65805

Simplify the expression: (4x2+7x−4x4)−(6x4−5x+1)(4 x^{2}+7 x-4 x^{4})-(6 x^{4}-5 x+1)(4x2+7x−4x4)−(6x4−5x+1).

Problem 65806

Find the slope of a line parallel and a line perpendicular to y=3x−7y=3x-7y=3x−7.

Problem 65807

A ball is thrown down at 50ft/s50 \mathrm{ft/s}50ft/s from a 56 ft building. Find the time it stays in the air using s(t)=−16t2−50t+56s(t)=-16 t^{2}-50 t+56s(t)=−16t2−50t+56.

Problem 65808

Simplify the expression: 3(x2+2x+5)+2(x2+3x+2)3(x^{2}+2x+5)+2(x^{2}+3x+2)3(x2+2x+5)+2(x2+3x+2).

Problem 65809

Find the slope of a line perpendicular and parallel to y=12xy=\frac{1}{2} xy=21​x.

Problem 65810

Round 6386 to the nearest hundred. What is the result?

Problem 65811

Graph the function f(x)=19x2f(x)=\frac{1}{9} x^{2}f(x)=91​x2 and find its domain and range.

Problem 65812

Combine the polynomials: (4v4+v+4v3)+(8v4+7v+3v3)(4v^4 + v + 4v^3) + (8v^4 + 7v + 3v^3)(4v4+v+4v3)+(8v4+7v+3v3).

Problem 65813

Find the equation of the line that goes through the point (10,3)(10,3)(10,3) with a slope of −32-\frac{3}{2}−23​.

Problem 65814

Find the velocity function v(t)v(t)v(t) for the hummingbird's position s(t)=−10t3−t−6s(t)=-10 t^{3}-t-6s(t)=−10t3−t−6 in feet.

Problem 65815

Simplify the expression: (3b4+2b3+6b)+(8b2−7b4−3b)(3 b^{4}+2 b^{3}+6 b)+(8 b^{2}-7 b^{4}-3 b)(3b4+2b3+6b)+(8b2−7b4−3b).

Problem 65816

Graph the function f(x)=19x2f(x)=\frac{1}{9} x^{2}f(x)=91​x2 and find its domain and range. Choose from A, B, C, or D.

Problem 65817

Problem 65818

16x4−25x=021−1801116 x^{4}-25 x=021-1801116x4−25x=021−18011

Problem 65819

ب) جد المعادلة الديكارتبة للمعادللتين البار امتريتين : 0≤t≤2،x=4−t20 \leq t \leq 2 ، x=\sqrt{4-t^{2}}0≤t≤2،x=4−t2​ ،

Problem 65820

Find the area of the region enclosed by the curves y=2cos⁡xy=2 \cos xy=2cosx and y=2cos⁡2xy=2 \cos 2 xy=2cos2x for 0≤x≤π0 \leq x \leq \pi0≤x≤π.

Problem 65821

Find dydx\frac{d y}{d x}dxdy​ of the following finctions: if y=2cos⁡2x−1y=2 \cos 2 x-1y=2cos2x−1

Problem 65822

Problem 65823

9. Find the equation of a line perpendicular to the line x−2y−3=0x-2 y-3=0x−2y−3=0 and passing through the point (1,−2)(1,-2)(1,−2)

Problem 65824

The number of ways of arranging letters of word HAVANA such that VVV and NNN do not appear together isOnly one correct answer A. 20 B. 40 C. 80 D. 160

Problem 65825

Question 58: Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys AAA and BBB, who refuse to be the members of the same team, isOnly one correct answer A. 200 B. 350 C. 500 D. 300

Problem 65826

Find dydx\frac{d y}{d x}dxdy​ of the following function (1) if y=x2x+1y=\frac{x^{2}}{x+1}y=x+1x2​

Problem 65827

Defferentiate with respect to x:4−x2x: 4-x^{2}x:4−x2

Problem 65828

Find dy/dxd y / d xdy/dx by implicit differentiation x3y5+3x=8y3+1x^{3} y^{5}+3 x=8 y^{3}+1x3y5+3x=8y3+1

Problem 65829

Problem 65830

In a standard deck of cards, what is the probability that you will get a 5 or a 10 card? Provide four decimal digits.

Problem 65831

If f(x,y)=2x2−yeyf(x, y)=2 x^{2}-y e^{y}f(x,y)=2x2−yey and the maximum rate of change of fff at (1,0)(1,0)(1,0) is aaa then a2a^{2}a2 equalAnswer: □\square□

Problem 65832

If f(x,y)=2x2−yeyf(x, y)=2 x^{2}-y e^{y}f(x,y)=2x2−yey and the maximum rate of change of fff at (1,0)(1,0)(1,0) is aaa then a2a^{2}a2 equalAnswer: □\square□

Problem 65833

Time left 0:18:23Suppose that the arrival time for all processes is 0 \begin{tabular}{|l|l|l|l|l|} \hline P1 & P2 & P1 & P3 & P1 \\ \hline \multicolumn{2}{|c|}{8} & 18 & 23 & 30 \\ \hline \end{tabular}What is the turnaround time for P2 a. 8 b. 18 c. 23

Problem 65834

Problem 65835

Simplify. x2x7\frac{x^{2}}{x^{7}}x7x2​

Problem 65836

Problem 65837

Simplify. 5bc35cd\begin{array}{l} 5 b c \\ 35 c d \end{array}5bc35cd​

Problem 65838

Simplify. 8u248u5\frac{8 u^{2}}{48 u^{5}}48u58u2​

Problem 65839

Rewrite without parentheses and simplify. (x−4)2(x-4)^{2}(x−4)2

Problem 65840

If a random variable X is normally distributed with mean 35 and variance 4, then P(X<39)P(X<39)P(X<39) is equal to a. 0.8413 b. 0.9982 c. 0.9332 d. 0.9772

Problem 65841

Question J\mathbf{J}J Not yet answered Marked out of 1.00The 90th90^{t h}90th percentile of the standard normal distribution is a. 2.05 b. 1.645 C. 1.96 d. 1.28

Problem 65842

Problem 65843

Simplify the expression: $\left(5 n^{3}-5 n^{2}-6 n^{4}\right)+\left(7 n^{4}+n^{2}-4 n\right)$ .

Find the slope of a line perpendicular and a line parallel to $y=-\frac{2}{5} x+8$ .

Simplify the expression by combining like terms: $-2 x - 2 y^{2} - 3 - 4 y^{2} - 5 x + 1$

Simplify the expression: $(4 x^{2}+7 x-4 x^{4})-(6 x^{4}-5 x+1)$ .

Find the slope of a line parallel and a line perpendicular to $y=3x-7$ .

A ball is thrown down at $50 \mathrm{ft/s}$ from a 56 ft building. Find the time it stays in the air using $s(t)=-16 t^{2}-50 t+56$ .

Simplify the expression: $3(x^{2}+2x+5)+2(x^{2}+3x+2)$ .

Find the slope of a line perpendicular and parallel to $y=\frac{1}{2} x$ .

Graph the function $f(x)=\frac{1}{9} x^{2}$ and find its domain and range.

Combine the polynomials: $(4v^4 + v + 4v^3) + (8v^4 + 7v + 3v^3)$ .

Find the equation of the line that goes through the point $(10,3)$ with a slope of $-\frac{3}{2}$ .

Find the velocity function $v(t)$ for the hummingbird's position $s(t)=-10 t^{3}-t-6$ in feet.

Simplify the expression: $(3 b^{4}+2 b^{3}+6 b)+(8 b^{2}-7 b^{4}-3 b)$ .

Graph the function $f(x)=\frac{1}{9} x^{2}$ and find its domain and range. Choose from A, B, C, or D.

$16 x^{4}-25 x=021-18011$

ب) جد المعادلة الديكارتبة للمعادللتين البار امتريتين : $0 \leq t \leq 2 ، x=\sqrt{4-t^{2}}$ ،

Find the area of the region enclosed by the curves $y=2 \cos x$ and $y=2 \cos 2 x$ for $0 \leq x \leq \pi$ .

Find $\frac{d y}{d x}$ of the following finctions: if $y=2 \cos 2 x-1$

9. Find the equation of a line perpendicular to the line $x-2 y-3=0$ and passing through the point $(1,-2)$

The number of ways of arranging letters of word HAVANA such that $V$ and $N$ do not appear together is
Only one correct answer A. 20 B. 40 C. 80 D. 160

Question 58: Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys $A$ and $B$ , who refuse to be the members of the same team, is
Only one correct answer A. 200 B. 350 C. 500 D. 300

Find $\frac{d y}{d x}$ of the following function (1) if $y=\frac{x^{2}}{x+1}$

Defferentiate with respect to $x: 4-x^{2}$

Find $d y / d x$ by implicit differentiation $x^{3} y^{5}+3 x=8 y^{3}+1$

If $f(x, y)=2 x^{2}-y e^{y}$ and the maximum rate of change of $f$ at $(1,0)$ is $a$ then $a^{2}$ equal
Answer: $\square$

If $f(x, y)=2 x^{2}-y e^{y}$ and the maximum rate of change of $f$ at $(1,0)$ is $a$ then $a^{2}$ equal
Answer: $\square$

Time left 0:18:23
Suppose that the arrival time for all processes is 0 \begin{tabular}{|l|l|l|l|l|} \hline P1 & P2 & P1 & P3 & P1 \\ \hline \multicolumn{2}{|c|}{8} & 18 & 23 & 30 \\ \hline \end{tabular}
What is the turnaround time for P2 a. 8 b. 18 c. 23

Simplify. $\frac{x^{2}}{x^{7}}$

Simplify. $\begin{array}{l} 5 b c \\ 35 c d \end{array}$

Simplify. $\frac{8 u^{2}}{48 u^{5}}$

Rewrite without parentheses and simplify. $(x-4)^{2}$

If a random variable X is normally distributed with mean 35 and variance 4, then $P(X<39)$ is equal to a. 0.8413 b. 0.9982 c. 0.9332 d. 0.9772

Question $\mathbf{J}$ Not yet answered Marked out of 1.00
The $90^{t h}$ percentile of the standard normal distribution is a. 2.05 b. 1.645 C. 1.96 d. 1.28

\begin{align} f(-6) &= 1, \\ f(-5) &= 3, \\ f(-2) &= 0, \\ f(-1) &= -1, \\ f(0) &= 0, \\ f(4) &= 4, \\ f(6) &= 2, \\ f(8) &= 2. \end{align} Determine if the function $f(x)$ is even, odd, or neither based on the given values.

Find the slope-intercept form of a line that passes through $(5,-3)$ with a slope of -4.

Simplify the expression: $(2 v^{4}+3 v-3 v^{2})+(v^{4}-5 v^{2}+5 v)$ .

Determine if the car is moving left or right at $t=8$ for the function $s(t)=-4 t^{3}-10 t^{2}+t-4$ .

Find the acceleration function $a(t)$ for the particle with position $s(t)=-3t^{2}-t+1$ (in meters) at time $t$ .

Simplify the expression: $\frac{1}{\sqrt{0+14}+\sqrt{14}}$

Solve the inequality $x + 5 \leq 3$ and express the solution in interval notation.

Find the acceleration of the particle at $t=3$ seconds for the function $s(t)=t^{3}-3 t^{2}-8 t+1$ . Answer in $\mathrm{ft} / \mathrm{s}^{2}$ .

Find the slope-intercept form of the line through $(-1,2)$ with slope 5.

Solve the inequality $-2 x \leq 12$ and express the solution in interval notation.

Simplify the expression: $(x^{3}-4 x^{2}-5 x)-(2 x^{3}+7 x^{2}+2 x)$ .

Determine if the train, described by $s(t)=t^{4}-2 t^{3}-5 t^{2}+3$ , is speeding up or slowing down at $t=2$ seconds.

Find the equation in point-slope form for a line through $(-3,-2)$ with a slope of 5.

Find the equation in point-slope form for the line through $(-10,4)$ with a slope of $\frac{1}{2}$ .

Find the interval(s) where the hummingbird slows down for $s(t)=-t^{3}+9 t^{2}-24 t-4$ , $t \geq 0$ .

Amy's bike tires have a radius of $28 \mathrm{~cm}$ . After 1,250 revolutions, how far has she traveled in $\mathrm{km}$ ? Use $\frac{22}{7}$ for $\pi$ .

Find the equation in point-slope form for a line through $(4,4)$ with slope $-\frac{5}{2}$ .

Graph the function $f(x)=|x+4|-4$ and identify its domain and range.

Simplify the expression $\frac{a^{57}}{b^{34}} \cdot a b^{33} \cdot a^{33} \cdot \frac{a^{27}}{b^{24}}$ .

Simplify $\frac{t^{400}}{t^{100}}$ . What is the result? Options: $t^{500}$ , $300$ , $t^{300}$ , $t^{4}$ .

Add without a calculator: $\frac{2}{3}+\frac{1}{15}$ . Enter your answer as a mixed number (e.g., 11/2).

Divide using repeated subtraction and standard algorithm: a. $508 \div 15$ b. $659 \div 24$ c. $1024 \div 99$

Simplify the expression: $(3 x^{2}-7-x^{3})-(5-8 x^{3}+3 x^{2})$ .

Calculate the sum of $\frac{7}{9}$ and $\frac{1}{3}$ .

A potato is shot up with a speed of $34 \mathrm{ft/s}$ from a 15 ft tall building. Find how long it's in the air using $s(t)=-16 t^{2}+34 t+15$ .

A ball is thrown down at $38 \mathrm{ft/s}$ from a 63 ft building. Find the time it is in the air using $s(t)=-16 t^{2}-38 t+63$ .

Determine the slope and $y$ -intercept of the line given by the equation $6x - 2y = 3$ .

Simplify the expression: $(5p + p^3 + 3p^4) + (3p^4 - 2p^2 + 4p)$ .

5. Design a G-L flip-flop that behaves as follows: If $\mathrm{G}=0$ , the flip-flop does not change its output state. If $G=1$ , the next output state is equal to $L$ . a. Derive the characteristic equation of the G-L flip-flop. b. Convert J-K flip-flop to G-L flip-flop.