Browse Math problems Studdy Solved!

Problem 56501

12. Find the sum of the expressions $(11.8t - 1.9)$ and $(-7t + 6.5)$ .

See Solution

Problem 56502

A table of values of a linear function is shown below.
$x$ |-2|0|2|4 ---|---:|---:|---:|---: $y$ |10|4|-2|-8
Find the y-intercept and slope of the function's graph.
y-intercept: 4 slope:

See Solution

Problem 56503

10. Choose ONE of the following questions.
A bus company has 4000 passengers daily, each paying a fare of $\$2$ . For each 15 cent increase in price, the company estimates it will lose 40 passengers. If the company needs to take in $\$10,450$ per day to stay in business, what fare should be charged?

See Solution

Problem 56504

(b) $\left(\frac{x^2y^{-4}}{x^{-3}z^5}\right)^3$

See Solution

Problem 56505

To prove a trigonometric identity, write out each side separately (LS and RS) and use the following techniques to show that $LS = RS$ :
1. Simplify one side at a time, starting with the more complicated side first • Sometimes you only have to work on one side, other times you may have to simplify both sides to get the same expression
2. Express all functions in terms of sine and cosine • Use the reciprocal and quotient identities
3. Look for squares and use the Pythagorean identities
4. Algebraic manipulations • Distribution (expanding), factoring, and finding common denominators may allow "cancellations" to get to simpler expressions • If dividing by a fraction, you can instead multiply by the reciprocal • Multiplying the numerator and denominator of a fraction by the same expression o E.g. Multiply by the conjugate to use the Pythagorean identities

See Solution

Problem 56506

Eompleta la tabella, applicando le proprietà delle potenze. \begin{tabular}{l|l|l|} \hline $(-4)^{-3} \cdot(-4)^{-5}=$ & $(+7)^{-2} \cdot(+7)^{-2} \cdot(+7)^{-3}=$ & $(-5)^{-8} \cdot(-5)^{-4}=$ \\ \hline $(-3)^{6}:(-3)^{8}=$ & $(+9)^{-6}:(+9)^{-6}=$ & $(-2)^{-3}:(-2)^{-2}=$ \\ \hline $\left[(-2)^{-3}\right]^{-1}=$ & { $\left[(+5)^{-2}\right]^{0}=$ } & { $\left[(-4)^{-2}\right]^{-4}=$ } \\ \hline $(-2)^{-3} \cdot(-5)^{-3}=$ & $(+4)^{-2} \cdot(-3)^{-2}=$ & $(-6)^{-5} \cdot(+2)^{-5}=$ \\ \hline $(+6)^{-4}:(+2)^{-4}=$ & $(-12)^{-3}:(-2)^{-3}=$ & $(+18)^{-2}:(-6)^{-2}=$ \\ \hline \end{tabular} 117

See Solution

Problem 56507

The two triangles below are similar.
$28^\circ$ 2 2 B 10 D $76^\circ$ $28^\circ$ 5 10 X $76^\circ$ $76^\circ$ 1 $76^\circ$ W Complete the similarity statement. $\triangle VWX \sim \triangle$ C

See Solution

Problem 56508

Simplify. $\frac{6u^3 w^4}{2u^3 v^2 + 10u}$

See Solution

Problem 56509

Weights of 2 samples of patients were measured and following results are obtained: \begin{tabular}{ccc} Sample Size & Mean \\ \begin{tabular}{ccc} 1 & 30 & 70 \\ 2 & 70 & $x$ \end{tabular} \end{tabular}
If both groups were combined and the combined mean is 84 , then the mean of the second sample is: a. 74

See Solution

Problem 56510

$f(x) = \frac{3x+3}{x+2}$
Graph the rational function.
Start by drawing the vertical and horizontal asymptotes. Then plot two points on each piece of the graph. Finally, click on the graph-a-function button.

See Solution

Problem 56511

$A=\left(\begin{array}{rrrr} 0 & 1 & 2 & 3 \\ 1 & 1 & 1 & 1 \\ -2 & -2 & 3 & 3 \\ 1 & 2 & -2 & -3 \end{array}\right)$ (a) Use the elimination method to evaluate $\operatorname{det}(A)$ . (b) Use the value of $\operatorname{det}(A)$ to evaluate $\left|\begin{array}{rrrr} 0 & 1 & 2 & 3 \\ -2 & -2 & 3 & 3 \\ 1 & 2 & -2 & -3 \\ 1 & 1 & 1 & 1 \end{array}\right|+\left|\begin{array}{rrrr} 0 & 1 & 2 & 3 \\ 1 & 1 & 1 & 1 \\ -1 & -1 & 4 & 4 \\ 2 & 3 & -1 & -2 \end{array}\right|$

See Solution

Problem 56512

$y=x+1 \quad y=x+7$
How many solutions does the system of equations have? no solution one solution infinitely many solutions

See Solution

Problem 56513

A potato chip manufacturer produces bags of potato chips that are supposed to have a net weight of 326 grams. Because the chips vary in size, it is difficult to fill the bags to the exact weight desired. However, the bags pass inspection so long as the standard deviation of their weights is no more than 4 grams. A quality control inspector wished to test the claim that one batch of bags has a standard deviation of more than 4 grams, and thus does not pass inspection. If a sample of 28 bags of potato chips is taken and the standard deviation is found to be 4.6 grams, does this evidence, at the 0.025 level of significance, support the claim that the bags should fail inspection? Assume that the weights of the bags of potato chips are normally distributed.
Step 3 of 3: Draw a conclusion and interpret the decision.
Answer 2 Points Tables Keypad Keyboard Shortcuts
We reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that the bags should fail inspection.
We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the bags should fail inspection.
We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that the bags should fail inspection.
We reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the bags should fail inspection.

See Solution

Problem 56514

1. Evaluate $\operatorname{Lim}_{x \rightarrow 2}\left(\frac{x^{2}-x-2}{x^{2}-4}\right)$
2. Evaluate $\operatorname{Lim}_{x \rightarrow 3}\left(\frac{x^{2}-1}{x-1}\right)$
3. Find the limits of the polynomial $\operatorname{Lim}_{x \rightarrow 2}\left(\frac{x^{2}+x-2}{x^{2}-3 x+2}\right)$
4. Evaluate $\operatorname{Lim}_{1} \cdots\left(\frac{x^{3}-2 x+1}{3 x^{3}+4 x^{2}-1}\right)$
5 Evaluate $\operatorname{Lim}_{101}\left(\frac{\operatorname{Sin} x}{x}\right)$ (1). Using the L'Hospital Rule, solve the limit Evaluate $\operatorname{Lim}_{x \rightarrow( }\binom{x^{3}+2 x^{2}-4 x+7}{5 x^{3}-4 x^{2}+8 x-9}$
7. Limit $\operatorname{Sin} 3$ - "." $\operatorname{Sin} 4 . x$ $\therefore \operatorname{limmit} \frac{\left(13 x^{2}-5 x+1\right)-3}{x-1}$
4. $\operatorname{limit}^{x^{2}-(a+1) x+a} \begin{array}{c}x^{3}-a^{3}\end{array}$
10. $\operatorname{Limit}_{x \rightarrow 10} \frac{\log x}{x}$

See Solution

Problem 56515

1) Find $f^{(12)}(0)$ of $f(x) = x \sin x^2$ 2) Find $f^{(20)}(0)$ of $f(x) = \sin(4x^2)$ 3) Find $f^{(24)}(0)$ of $f(x) = e^{4x^3}$ 4) Find $f^{(36)}(0)$ of $f(x) = \cos \sqrt{x}$ 5) Find $f^{(40)}(0)$ of $f(x) = \ln(1+x^2)$ 6) Find $f^{(15)}(0)$ of $f(x) = x^2 e^x$

See Solution

Problem 56516

Heaven left the internet cafe traveling 4 mph . Then, 3 hours later, Miranda left traveling the same direction at 10 mph . How long until Miranda catches up with Heaven?
Complete the table below, using the variable $t$ to represent the time until Miranda catches up with Heaven: \begin{tabular}{|c|c|c|c|} \hline & Rate & Time & Distance \\ \hline Heaven & & & \\ \hline Miranda & & & $\square$ \\ \hline \end{tabular}
Using the table, write an equation to represent this situation: $\square$ The solution to the equation is $\square$ hours.

See Solution

Problem 56517

$f(x) = (4x - 2)^2 (2x^2 + 1)^3$ .
Find $f'(x)$ , and then evaluate $f'$ at $x = 2$ and $x = -2$ .
$f'(2) =$
$f'(-2) =$

See Solution

Problem 56518

Determine if the values of the variables listed are solutions of the system of equations. $\begin{cases} 2x - y = 7 \\ 3x + 5y = -9 \end{cases}$ $x = 2$ , $y = -3$ ; $(2, -3)$
Is $(2, -3)$ a solution of the system of equations? Yes No

See Solution

Problem 56519

Is $x = 3$ , $y = \frac{1}{3}$ a solution of the given system of equations?
$\begin{cases} 4x - 6y = 10 \\ \frac{1}{3}x - 2y = -\frac{1}{3} \end{cases}$
Is the first equation satisfied? Yes No

See Solution

Problem 56520

Is $x = 2$ , $y = \frac{1}{3}$ a solution of the given system of equations? $\begin{cases} 5x - 6y = 8 \\ \frac{1}{3}x - 4y = -\frac{2}{3} \end{cases}$ Is the first equation satisfied? Yes No

See Solution

Problem 56521

Is $x = 2$ , $y = \frac{1}{3}$ a solution of the given system of equations? $\begin{cases} 5x - 6y = 8 \\ \frac{1}{3}x - 4y = -\frac{2}{3} \end{cases}$ Is the first equation satisfied? Yes No Is the second equation satisfied? No Yes As a result, is $x = 2$ , $y = \frac{1}{3}$ a solution of the given system of equations? Yes No

See Solution

Problem 56522

Question Watch Video Show Examples
Ava launches a toy rocket from a platform. The height of the rocket in feet is given by $h(t)=-16 t^{2}+24 t+112$ where $t$ represents the time in seconds after launch. After how many seconds does the rocket hit the ground?
Answer Attempt 1 out of 3 $\qquad$ seconds Submit Answer

See Solution

Problem 56523

$4x + 3z = 31$ $4y - z = -17$ $-x - 3y + 4z = 25$ $x = 4$ , $y = -3$ , $z = 5$ ; $(4, -3, 5)$
Is $(4, -3, 5)$ a solution of the system of equations?
A. No, the solutions does not satisfy any of the equations. B. No, the solution does not satisfy either $4x + 3z = 31$ or $4y - z = -17$ . C. No, the solution does not satisfy either $4y - z = -17$ or $-x - 3y + 4z = 25$ . D. No, the solution does not satisfy $4x + 3z = 31$ . E. No, the solution does not satisfy $4y - z = -17$ . F. No, the solution does not satisfy either $4x + 3z = 31$ or $-x - 3y + 4z = 25$ . G. No, the solution does not satisfy $-x - 3y + 4z = 25$ . H. Yes, this is a solution to the system of equations.

See Solution

Problem 56524

5. Kurvendiskussionen Führen Sie eine Kurvendiskussion durch. Überprüfen Sie hierzu $f$ auf Nullstellen, Extrema und Wendepunkte. Untersuchen Sie, wie $f$ sich für $x \to \pm\infty$ verhält. Skizzieren Sie den Graphen von $f$ in einem sinnvollen Bereich. Überprüfen Sie Ihre Skizze mit dem TR/Computer. a) $f(x) = (2x + 2) \cdot e^{-0.5x}$ b) $f(x) = (1 - x) \cdot e^{2-x}$ c) $f(x) = e^x - 2e^{-x}$
6. Graph und Funktionsterm Ordnen Sie jedem Funktionsterm den passenden Graphen zu. Begründen Sie.

See Solution

Problem 56525

A population numbers 15,000 organisms initially and grows by $8 \%$ each year. Suppose $P$ represents population, and $t$ the number of years of growth. An exponenti model for the population can be written in the form $P=a \cdot b^{t}$ where

See Solution

Problem 56526

Question
Solve for all values of $x$ by factoring. $x^{2}+x-16=x$
Answer Attempt 1 out of 3

See Solution

Problem 56527

$2x + y = 5$ $4x + 2y = 3$ Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. The solution is $x =$ and $y =$ . (Type integers or simplified fractions.) B. There are infinitely many solutions. Using ordered pairs, they can be expressed as $\{(x,y) | x =$ , $y$ is any real number\}. (Simplify your answer. Type an expression using $y$ as the variable as needed.) C. The system is inconsistent. Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.

See Solution

Problem 56528

Use the Trapezoidal Rule to find $T_{n}$ using the indicated value of $n$ . Round to three decimal places. $\int_{0}^{1} \frac{1}{x^{2}+1} d x ; n=4$ A. $T_{4}=0.783$ B. $T_{4}=0.970$ C. $T_{4}=1.383$ D. $T_{4}=1.566$

See Solution

Problem 56529

6) Javier is making a recipe that requires 160 mL of 40% pure fruit juice. He has 25% pure fruit juice solution and a 50% pure fruit juice solution. How many milliliters of each solution should he mix to obtain the needed solution?

See Solution

Problem 56530

Find the domain of the function.
$f(x) = \frac{3x}{\sqrt{x+3}}$

See Solution

Problem 56531

Graphically solving a system of linear equations 3 ph the system below and write its solution. $\left\{\begin{array}{l} -2 x+y=5 \\ y=\frac{1}{4} x-2 \end{array}\right.$
Note that you can also answer "No solution" or "Infinitely many" solutions.
Solution: No Infinitely solution many Explanation Check O 2024 McGraw Hill LLC. All Rights Reserved. Terms of

See Solution

Problem 56532

Solve the equation $2 x^{2}-19 x+2=-10 x$ to the nearest tenth.
Answer Attempt 1 out of 3 (ค) Additional Solution $\Theta$ No Solution

See Solution

Problem 56533

$2x - y = 0$ $6x + 3y = 30$ Select the correct choice below and, if necessary, fill in any answer boxes in your choice. A. The solution is $x =$ and $y =$ . (Type integers or simplified fractions.) B. There are infinitely many solutions. Using ordered pairs, they can be expressed as $\{(x,y) | x =$ , $y$ is any real number\}. (Simplify your answer. Type an expression using $y$ as the variable.) C. The system is inconsistent. Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.

See Solution

Problem 56534

Scanned with CamScanner
Find the numerical value of $\left[\sum n^{2} \delta[n+1]\right]$ : Note: The sum is from 0 to 5 a. 5 b. 1 c. 0

See Solution

Problem 56535

Solve the system of equations. If the system has no solution, say that it is inconsistent. $\begin{cases} x + 4y = 8 \\ 6x + 24y = 48 \end{cases}$ Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
A. The solution is $x =$ and $y =$ . (Type integers or simplified fractions.)
B. There are infinitely many solutions. Using ordered pairs, they can be expressed as $\{(x,y) | x =$ , y any real number\}. (Simplify your answer. Type an expression using $y$ as the variable as needed.)
C. The system is inconsistent.

See Solution

Problem 56536

9 Matching 5 points Put the following steps to using the AED in order. 1 2 3 4 5 Complete 100 compressions per minute until help arrives or Preform CPR as advised by the AED Complete check, call, care and send someone to get the AED Follow directions given by AED Remove clothing and attach pads correctly As soon as the AED is available turn it on and follow the voice prompts

See Solution

Problem 56537

Solve the following inequality algebraically. $-3 x^{2}+5 x>-3 x-3$
Answer Attempt 1 out of 3 $\square$

See Solution

Problem 56538

3. Explain the relationship between an enzyme and its substrate.

See Solution

Problem 56539

$\frac{2\sin^2\theta - 8\sin\theta + 6}{6\cos\theta - 2\sin\theta\cos\theta} = \frac{1 - \sin\theta}{\cos\theta}$
$LS = \frac{2\sin^2\theta - 8\sin\theta + 6}{6\cos\theta - 2\sin\theta\cos\theta}$
$RS = \frac{1 - \sin\theta}{\cos\theta}$
$= \frac{2(\sin^2\theta - 4\sin\theta + 3)}{2\cos\theta(3 - \sin\theta)}$
$= \frac{(\sin\theta - 3)(\sin\theta - 1)}{-\cos\theta(\sin\theta - 3)}$
$= \frac{-(\sin\theta - 1)}{\cos\theta}$
$= \frac{1 - \sin\theta}{\cos\theta}$
$LS = RS$

See Solution

Problem 56540

EXERCICE 1: Une bille ponctuelle S de masse $m$ est suspendue à un fil inextensible de longueur $l$ et de masse négligeable attaché en un point O. On écarte le fil d'un angle $\theta_0$ à partir de la position d'équilibre puis on l'abandonne sans vitesse initiale
1. Donner l'expression de la vitesse de la bille S: a) Au moment où le fil fait avec la verticale un angle $\theta_1$ . b) Au moment où le fil passe par la verticale.
2. Le fil étant écarté du même angle $\theta_0$ à partir de la position d'équilibre, on lance la bille avec une vitesse initiale $V_0$ déterminer l'angle maximal $\theta_m$ de remontée de la bille.
3. Quelle est la valeur minimale $V_{0m}$ de la vitesse initiale $V_0$ pour que la bille puisse faire au moins un tour ? Données : $l =$ $50$ cm; $\theta_0 = 60^\circ$ ; $V_0 = 1,2$ m.s $^{-1}$ ; $g = 10$ m.s $^{-2}$

See Solution

Problem 56541

Решите уравнение: $\cos(\frac{6\pi x}{5}) = 2\sqrt{x^2 + 2x - 35}$

See Solution

Problem 56542

Assume that a procedure yields a binomial distribution with a trial repeated $n=30$ times. Use the binomial probability formula to find the probability of $x=5$ successes given the probability $p='15$ of success on a single trial. Round to three decimal places.

See Solution

Problem 56543

Determine whether the following statements are true and give an explanation or counterexample. Complete parts (a) through (c) below. a. Newton's method is an example of a numerical method for approximating the roots of a function.
Choose the best response below. A. True. Newton's method is a numerical method used to approximate the roots of a function. B. True. Newton's method is a numerical method that will always approximate the roots of a function. C. False. Newton's method is a geometrical method for approximating the roots of a function. D. False. Newton's method is a theorem for the gravitational interaction between two objects.

See Solution

Problem 56544

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is \$600 and the annual interest rate is 3.7%?
Interest = $\$$ [ ? ]
Round your answer to the nearest hundredth.

See Solution

Problem 56545

Solve the given system of equations. If the system has no solution, say that it is inconsistent.
$x - 3y + 4z = 5$ $2x + y + z = -4$ $-2x + 3y - 3z = -2$
Select the correct choice below and fill in any answer boxes within your choice.
A. The solution is $x =$ _, $y =$ _, and $z =$ _. (Type integers or simplified fractions.)
B. There are infinitely many solutions. Using ordered triplets, they can be expressed as $\{(x,y,z) | x =$ _, $y =$ _, $z$ any real number\}. (Simplify your answers. Type expressions using $z$ as the variable as needed.)
C. There are infinitely many solutions. Using ordered triplets, they can be expressed as $\{(x,y,z) | x =$ _, $y$ any real number, $z$ any real number\}. (Simplify your answer. Type an expression using $y$ and $z$ as the variables as needed.)
D. The system is inconsistent.

See Solution

Problem 56546

Sketch the graph of $y = \frac{2}{3}x$

See Solution

Problem 56547

Solve the given system of equations. If the system has no solution, say that it is inconsistent.
$x - 3y + 4z = 5$
$2x + y + z = -4$
$-2x + 3y - 3z = -2$

See Solution

Problem 56548

Find real numbers a, b, and c so that the graph of the function $y = ax^2 + bx + c$ contains the points $(-1,6)$ , $(2,7)$ , and $(0,3)$ .
Select the correct choice below and fill in any answer boxes within your choice.
A. The solution is $a =$ , $b =$ , and $c =$ . (Type integers or simplified fractions.)
B. There are infinitely many solutions. Using ordered triplets, they can be expressed as $\{(a,b,c) | a =$ , $b =$ , c any real number\}. (Simplify your answers. Type expressions using c as the variable as needed.)
C. There are infinitely many solutions. Using ordered triplets, they can be expressed as $\{(a,b,c) | a =$ , b any real number, c any real number\}. (Simplify your answer. Type an expression using b and c as the variables as needed.)
D. There is no solution.

See Solution

Problem 56549

Complete the sentence below. An $m$ by $n$ rectangular array of numbers is called a(n) _____.
An $m$ by $n$ rectangular array of numbers is called a(n) column index. matrix. row index. entry.

See Solution

Problem 56550

Complete the sentence below. The matrix used to represent a system of linear equations is called a(n) _ matrix.
The matrix used to represent a system of linear equations is called a(n) _ matrix. coefficient augmented invertible resulting

See Solution

Problem 56551

Complete the sentence below. The notation $a_{35}$ refers to the entry in the _ row and _ column of a matrix.
The notation $a_{35}$ refers to the entry in the \_\_\_\_\_ row and \_\_\_\_\_\_ column of a matrix. third fifth

See Solution

Problem 56552

Determine whether the following statement is true or false.
The matrix $\begin{bmatrix} 1 & 3 & -2 \\ 0 & 1 & 5 \\ 0 & 0 & 0 \end{bmatrix}$ is in row echelon form.
Choose the correct answer below. True False

See Solution

Problem 56553

What are the zeros, the degree, and the $y$ -intercept of the polynomial $f(x) = 3x(x + 1)^2(x - 2)^2$ Degree: Zeros: Y-intercept:

See Solution

Problem 56554

Write the augmented matrix of the given system of equations. $\begin{cases} x - 7y = 3 \\ 7x + 6y = 9 \end{cases}$ The augmented matrix is $\begin{bmatrix} \Box & \Box & \Box \\ \Box & \Box & \Box \end{bmatrix}$ .

See Solution

Problem 56555

14) $10 x y-15 x^{2} y^{2}$

See Solution

Problem 56556

Diberi $6^{3 x-2}=1296$ , cari nilai $x$ . Given $6^{3 x-2}=1296$ , find the value of $x$ .

See Solution

Problem 56557

Ahmad, Khaled and Ali are three partners in partnerships, divided profit and loss 1-2-2 respectively, on 31/12/2018 they agrees to liquidate the partnerships on the same dates the Balance Sheet as follows
| Assets | amount | Liabilities &Capital | amounts | |---|---|---|---| | cash | 10,000 | Accounts payable | 20,000 | | Non cash assets | 45,000 | Ahmad capital | 11,000 | | | | Khaled capital | 8,500 | | | | Ali capital | 15,500 | | total | 55,000 | total | 55,000 |
Others information;- 1- All non-cash assets are sold cash for \$30,000 2- Liquidation expenses are paid for cash \$10,000 3- Khaled are insolvent partners 4- All liabilities are paid cash
Instructions: prepare the liquidation statements

See Solution

Problem 56558

Find the amount of work done if an object is pushed horizontally 70 m by a force of 25 N directed $60^{\circ}$ above the horizontal. Give the exact answer. Do not round.
The amount of work done is $\square$ $\mathrm{N} \cdot \mathrm{m}$ $\sqrt{\square}$ ㅁ

See Solution

Problem 56559

When a circular plate of metal is heated in an oven, its radius increases at a rate of $0.03$ cm/min. At what rate is the plate's area increasing when the radius is $57$ cm?
The rate of change of the area is _______ $\text{cm}^2$ /min. (Type an exact answer in terms of $\pi$ .)

See Solution

Problem 56560

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is \$680 and the annual interest rate is 3.6%? Interest = $[ ? ]$ Round your answer to the nearest hundredth.

See Solution

Problem 56561

Solve by completing the square: $z^{2}=12 z+1$

See Solution

Problem 56562

Determine if the subset of $\mathbb{R}^{3}$ consisting of vectors of the form $\left[\begin{array}{l}a \\ b \\ c\end{array}\right]$ , where $a \geq 0, b \geq 0$ , and $c \geq 0$ is a subspace. Select true or false for each statement.
True $\square$ 1. The set contains the zero vector
True 2. This set is closed under vector addition $\square$ 3. This set is a subspace
False $\square$ 4. This set is closed under scalar multiplications

See Solution

Problem 56563

Find the value of $x$ for $3^{x-2}=81^{x}$ . Jawapan / Answer:

See Solution

Problem 56564

The economic way of thinking is best described as A. a set of economic rules handed down from one generation to the next. B. an analytical framework enabling one to reach informed conclusions C. the collected writings of the economics Nobel Prize winners. D. the glossary of terms at the back of your textbook.

See Solution

Problem 56565

Solve for $x$ : $\begin{array}{l} \log _{6} x+\log _{6}(x+4)=5 \\ x= \end{array}$

See Solution

Problem 56566

Use the given function and the given interval to complete parts $\mathbf{a}$ and $\mathbf{b}$ . $f(x)=2 x^{3}-27 x^{2}+108 x \text { on }[2,7]$ a. Determine the absolute extreme values of $f$ on the given interval when they exist. b. Use a graphing utility to confirm your conclusions. a. What is/are the absolute maximum/maxima of $f$ on the given interval? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The absolute maximum/maxima is/are $\square$ at $x=$ $\square$ . (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) B. There is no absolute maximum of $f$ on the given interval.

See Solution

Problem 56567

Mixed Review e made a smoothie with 1 cup of yogurt, 3 tablespoons of peanut butter, 2 teaspoons of chocolate syrup, and 2 cups of crushed ice.
**Kiran tried to double this recipe. He used 2 cups of yogurt, 6 tablespoons of peanut butter, 5 teaspoons of chocolate syrup, and 4 cups of crushed ice. He didn't think it tasted right. Describe how the flavor of Kiran's recipe compares to Clare's recipe.
*How should Kiran change the quantities that he used so that his smoothie tastes just like Clare's?

See Solution

Problem 56568

$x^2 + y^2 - 6x + 8y + 16 = 0$

See Solution

Problem 56569

John collects the running times of some athletes and records the data in the table below. \begin{tabular}{|c|c|} \hline Time $(z$ seconds) & Frequency \\ \hline $50<z \leq 60$ & 7 \\ \hline $60<z \leq 70$ & 4 \\ \hline $70<z \leq 80$ & 3 \\ \hline $80<z \leq 90$ & 7 \\ \hline \end{tabular}
Find the mean of the data in the table. Give your answer correct to 1 decimal place where appropriate.

See Solution

Problem 56570

26. Describe the transformations that when applied to the graph of result in the graph of $y = -2\cos\left|\frac{1}{8}\left(x - \frac{\pi}{3}\right)\right| + 1.$ [C-5 Marks]
27. A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers aboard the lowest car at a height of 3 m above the ground, determine a sine function that models the height, $h$ , in metres, of the car relative to the ground as a function of the time, $t$ , in seconds. [A-4 Marks]

See Solution

Problem 56571

Find the exact values of the following. a) $\sin\frac{7\pi}{6} =$ b) $\sin\left(\frac{4\pi}{3}\right)$ c) $\cos\frac{3\pi}{4}$

See Solution

Problem 56572

Note: You may need to assume the fact that $\lim_{M \to +\infty} M^n e^{-M} = 0$ for all $n$ .
Decide whether or not the given integral converges.
$\int_{-\infty}^{-8} \frac{1}{x^2} dx$
The integral converges. The integral diverges.
If the integral converges, compute its value. (If the integral diverges, enter DNE.)

See Solution

Problem 56573

Translate the sentence into an inequality. Seven subtracted from c is less than 22.

See Solution

Problem 56574

4. Find the measure of each angle, to the nearest degree.
a) $\tan \theta = 1.5$ b) $\tan A = \frac{3}{4}$ c) $\tan B = 0.6000$ d) $\tan W = \frac{4}{5}$ e) $\tan C = 0.8333$ f) $\tan \theta = \frac{6}{7}$ g) $\tan X = 3.0250$ h) $\tan \theta = \frac{15}{9}$

See Solution

Problem 56575

Role model vs. Ievel of education \begin{tabular}{lccc} & Family member & Friend or acquaintance & Stranger \\ \hline Less than high school & 0.09 & 0.12 & 0.19 \\ High school & 0.25 & 0.32 & 0.40 \\ Some college & 0.29 & 0.25 & 0.23 \\ Bachelor's degree & 0.23 & 0.19 & 0.14 \\ Advanced degree & 0.14 & 0.12 & 0.04 \\ Column total & 1.00 & 1.00 & 1.00 \end{tabular}
Based on the data, which of the following statements must be true of the people surveyed?
Choose 1 answer: (A) A person whose role model is a family member is less likely to have an advanced deffree than a person whose role model is a friend or acquaintance. (B) A person whose role model is a stranger is more likely to have high school than some college as their highest level of education. (C) A person whose highest level of education is a bachelor's degree is more likely to have a family member than a stranger as a role model. (D) A person whose highest level of education is less than high school is more likely to have a stranger than a friend or acquaintance as a role model.

See Solution

Problem 56576

Exercice 1 :
1) Trace en vert le symétrique de cette figure par la symétrie de centre O. 2) Trace en rouge l'image de cette figure par la translation qui transforme A en B. 3) Trace en noir l'image de cette figure par la rotation de centre O, d'angle $60^\circ$ dans le sens anti-horaire.
Exercice 2 :
1) Trace en vert le symétrique de cette figure par rapport à la droite (d). 2) Trace en rouge l'image de cette figure par la translation qui transforme C en O'. 3) Trace en noir l'image de cette figure par la rotation de centre O, d'angle $90^\circ$ dans le sens antihoraire.

See Solution

Problem 56577

(c) Estimate $\int_0^6 (x^2 + 1) dx$ using a right-hand sum with $n = 3$ (i.e. $R_3$ ).
Round your answer to two decimal places.
$R_3 =$

See Solution

Problem 56578

5.12: Let the random variable $Y_n$ have distribution that is $b(n, p)$ a) Prove that $\frac{X_n}{n}$ converges in probability to $p$ . This result is one form of the weak law of large numbers. b) Prove that $1 - \frac{X_n}{n}$ converges in probability to $1 - p$ c) Prove that $(\frac{X_n}{n})(1 - \frac{Y_n}{n})$ converges in probability to $p(1 - p)$ let $z_n =$ $= \lim_{n \to \infty} p(|z|$

See Solution

Problem 56579

Question 5 (Mandatory) (1 point) In $\triangle \mathrm{DEF}, d=36 \mathrm{~m}, e=48 \mathrm{~m}$ and $f=55.3 \mathrm{~m}$ . State which unknown measurements you can use the cosine law to directly solve for, and determine their measures to the nearest degree or metre, whichever is appropriate.

See Solution

Problem 56580

5.12: Let the random variable $Y_n$ have distribution that is $b(n, p)$ a) Prove that $\frac{X_n}{n}$ converges in probability to $p$ . This result is one form of the weak law of large numbers. b) Prove that $1 - \frac{X_n}{n}$ converges in probability to $1 - p$ c) Prove that $(\frac{X_n}{n})(1 - \frac{Y_n}{n})$ converges in probability to $p(1 - p)$

See Solution

Problem 56581

$-6(2 r-2)=-8 r+40$

See Solution

Problem 56582

$2 \log_{a}(8x^3) - \frac{1}{7} \log_{a}(4x+11) = \square$ (Simplify your answer.)

See Solution

Problem 56583

Use Euler's Method with $\mathrm{h}=0.1$ to approximate the solution to the following initial value problem on the interval $1 \leq x \leq 2$ . Compare these approximations with the actual solution $y=-\frac{1}{x}$ by graphing the polygonal-line approximation and the actual solution on the same coordinate system. $y^{\prime}=\frac{1}{x^{2}}-\frac{y}{x}-y^{2}, y(1)=-1$
Complete the table. \begin{tabular}{|c|c|c|} \hline $\boldsymbol{n}$ & $\mathbf{x}_{\mathbf{n}}$ & \begin{tabular}{c} Euler's Method \\ approximate solution \end{tabular} \\ \hline 0 & 1 & -1 \\ \hline 1 & 1.1 & -0.90000 \\ \hline 2 & 1.2 & -0.81654 \\ \hline 3 & 1.3 & -0.74572 \\ \hline 4 & 1.4 & -0.68480 \\ \hline 5 & 1.5 & -0.63176 \\ \hline 6 & 1.6 & -0.58511 \\ \hline 7 & 1.7 & -0.54371 \\ \hline 8 & 1.8 & -0.50669 \\ \hline 9 & 1.9 & -0.47335 \\ \hline 10 & 2.0 & 0.44314 \\ \hline \end{tabular} (Round to five decimal places as needed.)

See Solution

Problem 56584

6. The table below give the number of homes (in thousands) build each year in a developing suburb. Find the rate of change between 2004 and 2007 using the table.
Year | Homes (thousands) ---|--- 2004 | 7.1 2005 | 8.4 2006 | 9.2 2007 | 10.3 2008 | 11

See Solution

Problem 56585

Select the correct answer.
What is the completely factored form of this expression? $3 x^{2}-17 x-28$ A. $(3 x+4)(x+7)$ B. $(3 x+4)(x-7)$ C. $3 x^{2}-17 x-28$ D. $\left(3 x^{2}+4\right)(x-7)$

See Solution

Problem 56586

Consider the following function: $f(x) = -3x^3 - \frac{45}{2}x^2 - 54x - 14$
Step 2 of 4: Determine where the function is increasing and decreasing. Enter your answers in interval notation.
Answer 2 Points
Separate multiple intervals with a comma.
Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used.
Increasing on:
Decreasing on:
Never increasing
Never decreasing
Next

See Solution

Problem 56587

Determine the following indefinite integral. Check your work by differentiation. $\begin{array}{c} \int \sqrt[13]{r^{7}} d r \\ \int \sqrt[13]{r^{7}} d r=\square \end{array}$ $\square$

See Solution

Problem 56588

Question 8 (Mandatory) (1 point) Wendy, Karen, and Steve are playing soccer. Karen has the ball. Karen and Wendy are 3.3 m apart. Karen and Steve are 5.5 m apart. The angle between the lines from Wendy to Karen and Wendy to Steve is $70^{\circ}$ . Karen wants to pass the ball between Steve and Wendy. To the nearest degree, what is the angle between the lines from Karen to Steve and Karen to Wendy?

See Solution

Problem 56589

Use this translation scheme to translate the English sentence to first-order logic. domain: people in Sunnydale a: Alice c: Carol d: David B: is blue. R: is round. H: __ is happy. Alice is happy if and only if David is not blue.

See Solution

Problem 56590

Use integration by substitution to solve the integral below. Use C for the constant of integration.
$\int e^{x^6+3} \cdot 6x^5 dx$
Answer 4 Points
Choose the correct answer from the options below.
$e^{x^6+3} + C$
$36e^{x^6+3}x^{10} + 30e^{x^6+3}x^4 + C$
$e^{6x^5} + C$
$e^{\frac{1}{7}x^7+3x} + C$

See Solution

Problem 56591

Rewrite each equation as requested. (a) Rewrite as a logarithmic equation. $e^{y}=3$ (b) Rewrite as an exponential equation. $\ln x=6$ (a) $\square$ (b) $\square$ $\square 109$ $9{ }^{9}$ ■In $\square$ $\square$ $\square$

See Solution

Problem 56592

Which statement is MOST accurate concerning the theory of island biogeography?
Whether an island is big, small, far away or close to a continent means nothing within this theory.
Islands further away from continents will be re-populated faster after a disturbance.
The distance of an island from a continent will have zero bearing on re-population anytime.
Islands closer to continents will be re-populated faster after a disturbance.
ASUS Vivobook

See Solution

Problem 56593

Show that the value of $\oint_C xy^2 dx + (x^2 y + 2x) dy$ around any square depends only on the area of the square and not on its location in the plane.
$\oint_C Mdx + Ndy = \iint_R (\frac{\partial N}{\partial x} - \frac{\partial M}{\partial y})dxdy$
What part of the function should be substituted for $M$ ? $M = xy^2$ (Type an expression using x and y as the variables.)
What part of the function should be substituted for $N$ ? $N = x^2y + 2x$ (Type an expression using x and y as the variables.)
Differentiate $M$ with respect to $y$ . $\frac{\partial M}{\partial y} = 2xy$
Differentiate $N$ with respect to $x$ . $\frac{\partial N}{\partial x} =$

See Solution

Problem 56594

The digit 3 in which number represents a value of 3 tens? Choose 1 answer: A 6,300 B 8.35 C 732.9

See Solution

Problem 56595

The Scott family takes a walk together every night after dinner. It takes them 5 minutes to walk 4 blocks.
Complete the table.
Minutes 5 _ _ 30 Blocks walked 4 12 16 ___
Graph the data from the table.

See Solution

Problem 56596

9. Cyanide is an extremely fast acting poison. In fact, it was developed as a suicide pill (called L-pill) during World War II so that British and American spies could avoid being captured alive. Given what you know about ATP and cellular respiration, explain why cyanide is so fast acting.

See Solution

Problem 56597

Solve the following pair of simultaneous equations: $\begin{aligned} 3 x+y & =19 \\ x-y & =1 \end{aligned}$

See Solution

Problem 56598

Solve $\begin{aligned} 4 y+x & =27 \\ y-x & =3 \end{aligned}$

See Solution

Problem 56599

c. $4x^2 + 24x + 36$

See Solution

Problem 56600

The weights of badgermoles in the Earth Kingdom are normally distributed, with mean weight 1150 kg and standard deviation 50 kg . Find the probability that a badgermole caught at random has a weight greater than 1260 kg . z Table Link 0.0122 0.0162 0.0158 0.0150

See Solution

Math

Problem 56501

12. Find the sum of the expressions (11.8t−1.9) (11.8t - 1.9) (11.8t−1.9) and (−7t+6.5) (-7t + 6.5) (−7t+6.5).

Problem 56502

A table of values of a linear function is shown below.xxx|-2|0|2|4 ---|---:|---:|---:|---: yyy|10|4|-2|-8Find the y-intercept and slope of the function's graph.y-intercept: 4 slope:

Problem 56503

Problem 56504

(b) (x2y−4x−3z5)3\left(\frac{x^2y^{-4}}{x^{-3}z^5}\right)^3(x−3z5x2y−4​)3

Problem 56505

Problem 56506

Problem 56507

The two triangles below are similar.28∘28^\circ28∘ 2 2 B 10 D 76∘76^\circ76∘ 28∘28^\circ28∘ 5 10 X 76∘76^\circ76∘ 76∘76^\circ76∘ 1 76∘76^\circ76∘ W Complete the similarity statement. △VWX∼△\triangle VWX \sim \triangle△VWX∼△ C

Problem 56508

Simplify. 6u3w42u3v2+10u\frac{6u^3 w^4}{2u^3 v^2 + 10u}2u3v2+10u6u3w4​

Problem 56509

Problem 56510

f(x)=3x+3x+2f(x) = \frac{3x+3}{x+2}f(x)=x+23x+3​Graph the rational function.Start by drawing the vertical and horizontal asymptotes. Then plot two points on each piece of the graph. Finally, click on the graph-a-function button.

Problem 56511

Problem 56512

y=x+1y=x+7y=x+1 \quad y=x+7y=x+1y=x+7How many solutions does the system of equations have? no solution one solution infinitely many solutions

Problem 56513

Problem 56514

Problem 56515

Problem 56516

Problem 56517

f(x)=(4x−2)2(2x2+1)3f(x) = (4x - 2)^2 (2x^2 + 1)^3f(x)=(4x−2)2(2x2+1)3.Find f′(x)f'(x)f′(x), and then evaluate f′f'f′ at x=2x = 2x=2 and x=−2x = -2x=−2.f′(2)=f'(2) =f′(2)=f′(−2)=f'(-2) =f′(−2)=

Problem 56518

Problem 56519

Is x=3x = 3x=3, y=13y = \frac{1}{3}y=31​ a solution of the given system of equations?{4x−6y=1013x−2y=−13\begin{cases} 4x - 6y = 10 \\ \frac{1}{3}x - 2y = -\frac{1}{3} \end{cases}{4x−6y=1031​x−2y=−31​​Is the first equation satisfied? Yes No

Problem 56520

Is x=2x = 2x=2, y=13y = \frac{1}{3}y=31​ a solution of the given system of equations? {5x−6y=813x−4y=−23\begin{cases} 5x - 6y = 8 \\ \frac{1}{3}x - 4y = -\frac{2}{3} \end{cases}{5x−6y=831​x−4y=−32​​ Is the first equation satisfied? Yes No

Problem 56521

Problem 56522

Problem 56523

Problem 56524

Problem 56525

A population numbers 15,000 organisms initially and grows by 8%8 \%8% each year. Suppose PPP represents population, and ttt the number of years of growth. An exponenti model for the population can be written in the form P=a⋅btP=a \cdot b^{t}P=a⋅bt where

Problem 56526

QuestionSolve for all values of xxx by factoring. x2+x−16=xx^{2}+x-16=xx2+x−16=xAnswer Attempt 1 out of 3

Problem 56527

Problem 56528

Problem 56529

6) Javier is making a recipe that requires 160 mL of 40% pure fruit juice. He has 25% pure fruit juice solution and a 50% pure fruit juice solution. How many milliliters of each solution should he mix to obtain the needed solution?

Problem 56530

Find the domain of the function.f(x)=3xx+3f(x) = \frac{3x}{\sqrt{x+3}}f(x)=x+3​3x​

Problem 56531

Problem 56532

Solve the equation 2x2−19x+2=−10x2 x^{2}-19 x+2=-10 x2x2−19x+2=−10x to the nearest tenth.Answer Attempt 1 out of 3 (ค) Additional Solution Θ\ThetaΘ No Solution

Problem 56533

Problem 56534

Scanned with CamScannerFind the numerical value of [∑n2δ[n+1]]\left[\sum n^{2} \delta[n+1]\right][∑n2δ[n+1]] : Note: The sum is from 0 to 5 a. 5 b. 1 c. 0

Problem 56535

Problem 56536

Problem 56537

Solve the following inequality algebraically. −3x2+5x>−3x−3-3 x^{2}+5 x>-3 x-3−3x2+5x>−3x−3Answer Attempt 1 out of 3 □\square□

Problem 56538

3. Explain the relationship between an enzyme and its substrate.

Problem 56539

Problem 56540

Problem 56541

Решите уравнение: cos⁡(6πx5)=2x2+2x−35\cos(\frac{6\pi x}{5}) = 2\sqrt{x^2 + 2x - 35}cos(56πx​)=2x2+2x−35​

Problem 56542

Assume that a procedure yields a binomial distribution with a trial repeated n=30n=30n=30 times. Use the binomial probability formula to find the probability of x=5x=5x=5 successes given the probability p=′15p='15p=′15 of success on a single trial. Round to three decimal places.

Problem 56543

Problem 56544

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is \$600 and the annual interest rate is 3.7%?Interest = $\$$[ ? ]Round your answer to the nearest hundredth.

Problem 56545

Problem 56546

Sketch the graph of y=23xy = \frac{2}{3}xy=32​x

Problem 56547

Solve the given system of equations. If the system has no solution, say that it is inconsistent.x−3y+4z=5x - 3y + 4z = 5x−3y+4z=52x+y+z=−42x + y + z = -42x+y+z=−4−2x+3y−3z=−2-2x + 3y - 3z = -2−2x+3y−3z=−2

Problem 56548

Problem 56549

Complete the sentence below. An mmm by nnn rectangular array of numbers is called a(n) _____.An mmm by nnn rectangular array of numbers is called a(n) column index. matrix. row index. entry.

Problem 56550

Complete the sentence below. The matrix used to represent a system of linear equations is called a(n) _______ matrix.The matrix used to represent a system of linear equations is called a(n) _______ matrix. coefficient augmented invertible resulting

Problem 56551

Complete the sentence below. The notation a35a_{35}a35​ refers to the entry in the _______ row and _______ column of a matrix.The notation a35a_{35}a35​ refers to the entry in the \_\_\_\_\_ row and \_\_\_\_\_\_ column of a matrix. third fifth

Problem 56552

Determine whether the following statement is true or false.The matrix [13−2015000] \begin{bmatrix} 1 & 3 & -2 \\ 0 & 1 & 5 \\ 0 & 0 & 0 \end{bmatrix} ⎣⎡​100​310​−250​⎦⎤​ is in row echelon form.Choose the correct answer below. True False

12. Find the sum of the expressions $(11.8t - 1.9)$ and $(-7t + 6.5)$ .

A table of values of a linear function is shown below.
$x$ |-2|0|2|4 ---|---:|---:|---:|---: $y$ |10|4|-2|-8
Find the y-intercept and slope of the function's graph.
y-intercept: 4 slope:

(b) $\left(\frac{x^2y^{-4}}{x^{-3}z^5}\right)^3$

The two triangles below are similar.
$28^\circ$ 2 2 B 10 D $76^\circ$ $28^\circ$ 5 10 X $76^\circ$ $76^\circ$ 1 $76^\circ$ W Complete the similarity statement. $\triangle VWX \sim \triangle$ C

Simplify. $\frac{6u^3 w^4}{2u^3 v^2 + 10u}$

$f(x) = \frac{3x+3}{x+2}$
Graph the rational function.
Start by drawing the vertical and horizontal asymptotes. Then plot two points on each piece of the graph. Finally, click on the graph-a-function button.

$y=x+1 \quad y=x+7$
How many solutions does the system of equations have? no solution one solution infinitely many solutions

$f(x) = (4x - 2)^2 (2x^2 + 1)^3$ .
Find $f'(x)$ , and then evaluate $f'$ at $x = 2$ and $x = -2$ .
$f'(2) =$
$f'(-2) =$

Is $x = 3$ , $y = \frac{1}{3}$ a solution of the given system of equations?
$\begin{cases} 4x - 6y = 10 \\ \frac{1}{3}x - 2y = -\frac{1}{3} \end{cases}$
Is the first equation satisfied? Yes No

Is $x = 2$ , $y = \frac{1}{3}$ a solution of the given system of equations? $\begin{cases} 5x - 6y = 8 \\ \frac{1}{3}x - 4y = -\frac{2}{3} \end{cases}$ Is the first equation satisfied? Yes No

A population numbers 15,000 organisms initially and grows by $8 \%$ each year. Suppose $P$ represents population, and $t$ the number of years of growth. An exponenti model for the population can be written in the form $P=a \cdot b^{t}$ where

Question
Solve for all values of $x$ by factoring. $x^{2}+x-16=x$
Answer Attempt 1 out of 3

Find the domain of the function.
$f(x) = \frac{3x}{\sqrt{x+3}}$

Solve the equation $2 x^{2}-19 x+2=-10 x$ to the nearest tenth.
Answer Attempt 1 out of 3 (ค) Additional Solution $\Theta$ No Solution

Scanned with CamScanner
Find the numerical value of $\left[\sum n^{2} \delta[n+1]\right]$ : Note: The sum is from 0 to 5 a. 5 b. 1 c. 0

Solve the following inequality algebraically. $-3 x^{2}+5 x>-3 x-3$
Answer Attempt 1 out of 3 $\square$

Решите уравнение: $\cos(\frac{6\pi x}{5}) = 2\sqrt{x^2 + 2x - 35}$

Assume that a procedure yields a binomial distribution with a trial repeated $n=30$ times. Use the binomial probability formula to find the probability of $x=5$ successes given the probability $p='15$ of success on a single trial. Round to three decimal places.

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is \$600 and the annual interest rate is 3.7%?
Interest = $\$$ [ ? ]
Round your answer to the nearest hundredth.

Sketch the graph of $y = \frac{2}{3}x$

Solve the given system of equations. If the system has no solution, say that it is inconsistent.
$x - 3y + 4z = 5$
$2x + y + z = -4$
$-2x + 3y - 3z = -2$

Complete the sentence below. An $m$ by $n$ rectangular array of numbers is called a(n) _____.
An $m$ by $n$ rectangular array of numbers is called a(n) column index. matrix. row index. entry.

Complete the sentence below. The matrix used to represent a system of linear equations is called a(n) _ matrix.
The matrix used to represent a system of linear equations is called a(n) _ matrix. coefficient augmented invertible resulting

Complete the sentence below. The notation $a_{35}$ refers to the entry in the _ row and _ column of a matrix.
The notation $a_{35}$ refers to the entry in the \_\_\_\_\_ row and \_\_\_\_\_\_ column of a matrix. third fifth

Determine whether the following statement is true or false.
The matrix $\begin{bmatrix} 1 & 3 & -2 \\ 0 & 1 & 5 \\ 0 & 0 & 0 \end{bmatrix}$ is in row echelon form.
Choose the correct answer below. True False

What are the zeros, the degree, and the $y$ -intercept of the polynomial $f(x) = 3x(x + 1)^2(x - 2)^2$ Degree: Zeros: Y-intercept:

Write the augmented matrix of the given system of equations. $\begin{cases} x - 7y = 3 \\ 7x + 6y = 9 \end{cases}$ The augmented matrix is $\begin{bmatrix} \Box & \Box & \Box \\ \Box & \Box & \Box \end{bmatrix}$ .

14) $10 x y-15 x^{2} y^{2}$

Diberi $6^{3 x-2}=1296$ , cari nilai $x$ . Given $6^{3 x-2}=1296$ , find the value of $x$ .

Find the amount of work done if an object is pushed horizontally 70 m by a force of 25 N directed $60^{\circ}$ above the horizontal. Give the exact answer. Do not round.
The amount of work done is $\square$ $\mathrm{N} \cdot \mathrm{m}$ $\sqrt{\square}$ ㅁ

When a circular plate of metal is heated in an oven, its radius increases at a rate of $0.03$ cm/min. At what rate is the plate's area increasing when the radius is $57$ cm?
The rate of change of the area is _______ $\text{cm}^2$ /min. (Type an exact answer in terms of $\pi$ .)

Solve by completing the square: $z^{2}=12 z+1$

Find the value of $x$ for $3^{x-2}=81^{x}$ . Jawapan / Answer:

Solve for $x$ : $\begin{array}{l} \log _{6} x+\log _{6}(x+4)=5 \\ x= \end{array}$

$x^2 + y^2 - 6x + 8y + 16 = 0$

Find the exact values of the following. a) $\sin\frac{7\pi}{6} =$ b) $\sin\left(\frac{4\pi}{3}\right)$ c) $\cos\frac{3\pi}{4}$