Browse Math problems in the Studdy Learning Bank!

Problem 2701

Rewrite the confidence interval $0.22 < p < 0.72$ using plus/minus notation and interval notation.
(a) plus/minus notation: $p = 0.47 \pm 0.25$ (b) interval notation: $(0.22, 0.72)$

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Problem 2702

Find the y-intercept of the linear equation $y=\frac{3}{2}x-4$ . Enter the value that correctly fills the blank.

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Problem 2703

A rectangular metal piece is 25 in longer than its width. Cutting 5 in squares from the corners and folding the flaps up forms a $1120 \mathrm{in}^{3}$ open box. Find the original width and length.

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Problem 2704

Find the value of $c$ , where $c = \sqrt[3]{-20}^3$ .

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Problem 2705

Solve for the value of $b$ in the equation $-76 = -3b - 49$ .

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Problem 2706

Find the value of $\left(0.1\right)^{5}$ .

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Problem 2707

Find $y$ when $x$ is inversely proportional to $\sqrt{x}$ and $y=79$ when $x=625$ , given $x=390625$ . (Round to nearest hundredth)

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Problem 2708

A.) Find the systolic pressure, to the nearest tenth, for a person aged 47 years using the equation: $P=0.005 y^{2}-0.03 y+120$ . B.) Find the age, rounded to the nearest whole year, of a person with a systolic pressure of $127.18 \mathrm{~mm} \mathrm{Hg}$ using the same equation.

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Problem 2709

Determine the value of $x$ that makes the equation $3(x+200)=3000$ true.

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Problem 2710

Find $h'(-1)$ where $h(x)=(x^{3}+p(x))^{4}$ and the given $p(x)$ values.

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Problem 2711

Perform a linear regression on the given distance vs. time data to find the slope $k$ in the equation $y=kx+h$ . Round the value of $k$ to the nearest tenth.

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Problem 2712

Find the probability of 3 successes in 8 trials of a binomial experiment with $45\%$ probability of success.

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Problem 2713

Simplify the expression $3.5+2.25 \div 0.75-6 \cdot \frac{1}{8}$ and select the correct answer.

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Problem 2714

Solve for the variable $s$ in the equation $3s + s = 2s + 8$ .

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Problem 2715

Regan has $\$ 60$ in a savings account. Given interest rate of $5\%$ per year, not compounded, find the interest earned in 1 year using the formula $i = p r t$ .

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Problem 2716

Find 2 equations with the same $x$ value as $\frac{2}{3}(6 x+12)=-24$ . Options: $4 x+8=-24$ , $9 x+18=-24$ , $4 x=-16$ , $\frac{18 x+36}{2}=-24$ , $4 x=-32$ .

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Problem 2717

Solve for the value of $w$ given the equation $\frac{9w}{9}=\frac{25}{9}$ .

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Problem 2718

Find $LN$ given $LM=x+18$ , $MN=16$ , and $LN=4x+19$ .

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Problem 2719

Determine which values of $x$ satisfy the inequality $17 > -8x + 1$ .

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Problem 2720

Describe the relationship between $x$ and $y$ in the equations $y=13x$ and $y=x+13$ . The value of $y$ is 13 more than $x$ in both equations.

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Problem 2721

Evaluate the exponential function $h(x)=1.5^{x}$ for $x=\sqrt{3}$ , and round the result to the nearest hundredth.

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Problem 2722

Solve for exact roots: $(x-3)^2=4$ , $(x+2)^2=9$ , $(d+1/2)^2=1$ , $(h-3/4)^2=7/16$ , $(s+6)^2=3/4$ , $(x+4)^2=18$ .

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Problem 2723

If a line intersects a parabola at two points, the system has $\{$ two complex, two real, many, no $\}$ solutions.

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Problem 2724

Find the marginal cost of the cost function $C(x) = 15,000 + 60x + \frac{1,000}{x}$ at $x = 100$ . State the units.

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Problem 2725

Write a system of equations to find the number of small and large $\text{radio-controlled helicopters}$ that can fit in each container, and the total shipping weight.
Small helicopters weigh $2 \text{ lbs}$ each, large ones $4 \text{ lbs}$ each. Containers weigh $20 \text{ lbs}$ and $12 \text{ lbs}$ , respectively. The total weight of each packed container is the same.

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Problem 2726

Find the shortest distance from the origin to the line $y = \frac{1}{2}x - 2$ .

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Problem 2727

Find the area of a pizza slice with a central angle of $23^{\circ}$ from an 18-inch diameter pizza. The area is approximately $\square$ square inches (rounded to two decimal places).

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Problem 2728

Phyllis invested $12,000 with a portion earning$ 4.5\% $interest and the rest earning$ 4\% $interest. After 1 year, the total interest earned was$ \ $525$ . Find the amount invested at each rate.

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Problem 2729

Find the value of $k$ that satisfies the inequality $6+3k < 3$ .

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Problem 2730

Find the independent variable in the linear equation $f(t)=4t+9$ .

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Problem 2731

Solve $6.2x=34.1$ for $x$ using equality properties, express solution in simplest form.

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Problem 2732

Solve for $w$ : $2w + 6 = 13w - 4w + 62$

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Problem 2733

Find the $z$ -score where the area to its right under the standard normal distribution is 0.39. Round the answer to 4 decimal places.

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Problem 2734

Encuentra un par ordenado $(x, y)$ que satisfaga la ecuación lineal $5x + y = 4$ .

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Problem 2735

Solve the quadratic equation $x^{2} + 7 = 0$ by graphing the related function. Determine if the equation has a real-number solution.

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Problem 2736

Solve for $w$ , where $w$ is a real number and $\sqrt{2w-1} - \sqrt{5w-10} = 0$ . If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

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Problem 2737

Find the value of the expression $2y + 2.3$ when $y = 4$ . (Type a whole number or a decimal.)

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Problem 2738

Find the equilibrium price for the supply function $p=S(x)=2+0.0002x^2$ and demand function $p=D(x)=20-0.05x$ .

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Problem 2739

Find the first step to solve the integral $\int \frac{4 x-x^{3}}{(x-5)(x+6)}$ .

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Problem 2740

Solve the linear equation $2x + 5y = -10$ by setting $x=0$ and $y=0$ to find the coordinates of the points.

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Problem 2741

Solve for $u$ where $-14.9=\frac{u}{4}-2.1$ .

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Problem 2742

Find the exact values of the six trigonometric functions of the angle $1290^{\circ}$ , where $\sin 1290^{\circ}=\square$ .

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Problem 2743

Find the derivative of $y=\sqrt{x-3}$ using the definition of derivative.

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Problem 2744

Find the next number in the pattern: 2, subtract 6 from each term. Describe the pattern.

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Problem 2745

Find the perimeter $P$ of a square playground with area $A=x^{2}-30x+225$ square feet.

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Problem 2746

Apply commutative property to rewrite $-\frac{1}{6}+a=\square\begin{bmatrix} \frac{\square}{\square} & \\ x & 5 \end{bmatrix}$ .

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Problem 2747

Find the solution to the ODE $y' = -1.7xy$ with $y(0) = 9.6$ , and evaluate the solution at $x = 1.3$ .

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Problem 2748

Solve the exponential equation $4(3)^{x}=4^{3 x-1}$ for the unknown variable $x$ .

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Problem 2749

Choose the option that best demonstrates the commutative property of multiplication: $4 \times 1=1 \times 4$ .

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Problem 2750

Rearrange the formula $V=\frac{\pi r^{2} h}{3}$ to solve for $h$ .

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Problem 2751

Events $E=\{$ first roll is 1 $\}$ and $B=\{$ total of two rolls is 5 $\}$ are not independent when rolling a 4-sided die twice.

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Problem 2752

Find the values of $m$ that satisfy the equation $(8m-5)(6m+9)=0$ .

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Problem 2753

Find the error in the math operations and provide the correct solution. $42 \div 5, 8 \times 5=40, 9 \times 5=45, (8 \times 5)+2=42, 42 \div 5=8 R 5$

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Problem 2754

Solve for $n$ when $n=5(2k^2+3k-6)$ and $k=-2$ .

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Problem 2755

Find the percentage of 112,738 that is equal to $82,542$ .

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Problem 2756

Rewrite the problem statement: Find the restrictions on the variable $x$ and solve the rational equation $\frac{1}{x-5}-\frac{4}{x+2}=\frac{7}{x^{2}-3x-10}$ .
a. The value(s) of $x$ that make the denominators zero are $x=5, -2$ .
b. The solution set is $\{x \mid x$ is a real number $\}$ .

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Problem 2757

Solve the inequality $\frac{x}{-2}<-6$ for $x$ .

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Problem 2758

Find the 28th percentile, middle 96% range, and interquartile range for the number of chocolate chips in a bag, where the number is approximately normally distributed with $\mu=1262$ and $\sigma=118$ .

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Problem 2759

Solve for $x$ in the equation $5 e^{x / 7} - 8 = 0$ .

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Problem 2760

Find the value of $x^8$ if $x^4 = 3$ .

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Problem 2761

Find the price of an evening movie given that the matinee price is $\$ 2$ less than the evening price.
Equation: $x = 12 + 2$

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Problem 2762

Use De Morgan's Laws to negate the statement " $7-6=1$ and $5+7 \neq 6$ ". The correct negation is option D: " $7-6 \neq 1$ or $5+7=6$ ".

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Problem 2763

Find the value of $c$ given the equation $64^{2} + 36^{2} = c$ .

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Problem 2764

Toy manufacturer accepts 7000-battery shipment if ≤3 of 42 randomly tested batteries fail specs. Find probability shipment is accepted, given 1% of batteries fail.
The probability this 7000-battery shipment will be accepted is $P(X \leq 3)$ , where $X \sim \text{Binomial}(42, 0.01)$ .

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Problem 2765

Find the value of $10x+7$ given that $5x+3=10$ .

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Problem 2766

Simplify the expression $-8[5+(6-7)]$ and select the correct answer. A. $-8[5+(6-7)]=\square$ (Simplify your answer.) B. The expression is undefined.

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Problem 2767

Which expression results in a rational number? 1) $\sqrt{2} \cdot \sqrt{18}$ 2) $5 \cdot \sqrt{5}$ 3) $\sqrt{2}+\sqrt{2}$ 4) $3 \sqrt{2}+2 \sqrt{3}$

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Problem 2768

Find the $y$ -component of a velocity vector $52^{\circ}$ below the negative $x$ -axis with $x$ -component $-20 \mathrm{m} / \mathrm{s}$ , rounded to 1 decimal place.

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Problem 2769

Solve for $n$ given the equation $n-20=m$ and the expression $n=$ .

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Problem 2770

Solve for $x$ in the linear equation $D x + F y = G$ .

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Problem 2771

Find $\left(\frac{h(x)}{g(x)}\right)(1)$ and all values not in the domain of $\frac{h(x)}{g(x)}$ , where $h(x)=(-6+x)(-1+x)$ and $g(x)=-9+8x$ .

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Problem 2772

Solve for $p$ in the equation $7p-4=8$ .

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Problem 2773

Find the amount of fertilizer needed to cover 632 square feet, given that 3 lbs covers 237 square feet. Use the proportion $\frac{3}{237} = \frac{632}{x}$ to solve for the unknown quantity $x$ .

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Problem 2774

Identify the transformations applied to the equation $y=4(x+3)^{2}+4$ and state the vertex.

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Problem 2775

Probability that at least 3 of 8 randomly selected human resource managers say job applicants should follow up within two weeks, given 57% say so. The probability is $\square$ .

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Problem 2776

Determine if the sequence $-1, 2, 5, 8, \ldots$ is geometric or arithmetic.

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Problem 2777

Resolver ecuación exponencial $9^{-5x} = 11^{x-4}$ . Encontrar valor de $x$ redondeado a la milésima más cercana.

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Problem 2778

Find the limit of $3a_n - 6b_n$ if $a_n \to 6$ and $b_n \to 9$ .

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Problem 2779

Quadratic function with points $(-3,4), (-2,0), (-1,-2), (0,-2), (1,0)$ . Which statements about intercepts are true? $y$ -intercept is $(0,-2)$ , $x$ -intercepts are $(-2,0)$ and $(1,0)$ .

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Problem 2780

Find the derivative of $y=3 x^{2} e^{\frac{1}{x}}$ and simplify.

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Problem 2781

The basement of a 2700-square-foot home accounts for $\frac{433}{2700} \times 100\%$ of the total square footage. (Round to two decimal places)

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Problem 2782

Rewrite the equation $4 x^{2} = 12$ in standard form $a x^{2} + b x + c = 0$ .

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Problem 2783

Estimate the tree's wood volume between 3-27 ft using the circumference data and trapezoidal rule. Round answer to $\geq 3$ decimal places.

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Problem 2784

Solve mentally: 1) $40-8=40+n$ , 2) $25+-100=25-n$ , 3) $3-\frac{1}{2}=3+n$ , 4) $72-n=72+6$ .

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Problem 2785

Polynomial $f(x)=x^4+10x^3+25x^2$ : a) Graph behavior: rises left, rises right. b) $x$ -intercepts: $0,-5$ ; graph crosses $x$ -axis at $0,-5$ .

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Problem 2786

Find the value of $(f-g)(5)$ where $f(x) = 3x^5 + 6x^2 - 5$ and $g(x) = 3x^5 - 5x^4 + 3x^2 - 15$ .

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Problem 2787

Find the value of $z$ in the system: $y=-2x+14$ , $3x-4z=2$ , $3x-y=16$ .

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Problem 2788

Solve the exponential equation $5(3^{x})=7$ for the value of $x$ .

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Problem 2789

Find the solution set for the quadratic equation $9 x^{2} + 6 x = 8$ .

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Problem 2790

A pet store has 11 puppies (5 poodles, 4 terriers, 2 retrievers). Rebecka and Aaron each select a random puppy. Find the probability they both select a poodle.
The probability is $\frac{5}{11} \cdot \frac{5}{11}$ .

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Problem 2791

Determine if a triangle with sides of lengths $97$ , $70$ , and $74$ is right, acute, or obtuse using the Pythagorean Theorem.

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Problem 2792

Simplify the complex expression $(3+2yi)(4-2i)-(3-2yi)(4-2i)$ in the form $a+bi$ , where $y$ is a real number.

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Problem 2793

Find the number of complex solutions, including repeats, for the polynomial equation $x^{5}+3 x^{4}+2 x^{3}+7 x^{2}+2 x+13=0$ using the Fundamental Theorem of Algebra.

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Problem 2794

Solve for $x$ in the equation $9^{x}=3$ . Express your answer as an integer or a simplified fraction.

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Problem 2795

Solve the absolute value equation $-5|x-8|+2=2$ to find the solution.

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Problem 2796

Find the value of $7$ raised to the power of $\frac{3}{5}$ .

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Problem 2797

Find the two equations that equal $\frac{1}{2}$ from the given options: $x-3.5=-3$ , $8x=4$ , $\frac{x}{6}=3$ , $5x=-10$ .

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Problem 2798

Find the quotient of the expression $\frac{8 w^{2}-20 w-12}{2 w+1}$ for all valid $w$ values.

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Problem 2799

Evaluate $\csc^{-1}(-3)$ and provide the result in radians rounded to four decimal places. If the answer does not exist, indicate "DNE".

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Problem 2800

Solve $3 \sqrt{7 x-5}-4=8$ subject to $x \geq \frac{5}{7}, x \geq-\frac{5}{7}, x \geq 3, x \geq-3$ . No solution exists.

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Math

Problem 2701

Rewrite the confidence interval 0.22<p<0.720.22 < p < 0.720.22<p<0.72 using plus/minus notation and interval notation.(a) plus/minus notation: p=0.47±0.25p = 0.47 \pm 0.25p=0.47±0.25 (b) interval notation: (0.22,0.72)(0.22, 0.72)(0.22,0.72)

Problem 2702

Find the y-intercept of the linear equation y=32x−4y=\frac{3}{2}x-4y=23​x−4. Enter the value that correctly fills the blank.

Problem 2703

A rectangular metal piece is 25 in longer than its width. Cutting 5 in squares from the corners and folding the flaps up forms a 1120in31120 \mathrm{in}^{3}1120in3 open box. Find the original width and length.

Problem 2704

Find the value of ccc, where c=−2033c = \sqrt[3]{-20}^3c=3−20​3.

Problem 2705

Solve for the value of bbb in the equation −76=−3b−49-76 = -3b - 49−76=−3b−49.

Problem 2706

Find the value of (0.1)5\left(0.1\right)^{5}(0.1)5.

Problem 2707

Find yyy when xxx is inversely proportional to x\sqrt{x}x​ and y=79y=79y=79 when x=625x=625x=625, given x=390625x=390625x=390625. (Round to nearest hundredth)

Problem 2708

Problem 2709

Determine the value of xxx that makes the equation 3(x+200)=30003(x+200)=30003(x+200)=3000 true.

Problem 2710

Find h′(−1)h'(-1)h′(−1) where h(x)=(x3+p(x))4h(x)=(x^{3}+p(x))^{4}h(x)=(x3+p(x))4 and the given p(x)p(x)p(x) values.

Problem 2711

Perform a linear regression on the given distance vs. time data to find the slope kkk in the equation y=kx+hy=kx+hy=kx+h. Round the value of kkk to the nearest tenth.

Problem 2712

Find the probability of 3 successes in 8 trials of a binomial experiment with 45%45\%45% probability of success.

Problem 2713

Simplify the expression 3.5+2.25÷0.75−6⋅183.5+2.25 \div 0.75-6 \cdot \frac{1}{8}3.5+2.25÷0.75−6⋅81​ and select the correct answer.

Problem 2714

Solve for the variable sss in the equation 3s+s=2s+83s + s = 2s + 83s+s=2s+8.

Problem 2715

Regan has $60\$ 60$60 in a savings account. Given interest rate of 5%5\%5% per year, not compounded, find the interest earned in 1 year using the formula i=prti = p r ti=prt.

Problem 2716

Find 2 equations with the same xxx value as 23(6x+12)=−24\frac{2}{3}(6 x+12)=-2432​(6x+12)=−24. Options: 4x+8=−244 x+8=-244x+8=−24, 9x+18=−249 x+18=-249x+18=−24, 4x=−164 x=-164x=−16, 18x+362=−24\frac{18 x+36}{2}=-24218x+36​=−24, 4x=−324 x=-324x=−32.

Problem 2717

Solve for the value of www given the equation 9w9=259\frac{9w}{9}=\frac{25}{9}99w​=925​.

Problem 2718

Find LNLNLN given LM=x+18LM=x+18LM=x+18, MN=16MN=16MN=16, and LN=4x+19LN=4x+19LN=4x+19.

Problem 2719

Determine which values of xxx satisfy the inequality 17>−8x+117 > -8x + 117>−8x+1.

Problem 2720

Describe the relationship between xxx and yyy in the equations y=13xy=13xy=13x and y=x+13y=x+13y=x+13. The value of yyy is 13 more than xxx in both equations.

Problem 2721

Evaluate the exponential function h(x)=1.5xh(x)=1.5^{x}h(x)=1.5x for x=3x=\sqrt{3}x=3​, and round the result to the nearest hundredth.

Problem 2722

Solve for exact roots: (x−3)2=4(x-3)^2=4(x−3)2=4, (x+2)2=9(x+2)^2=9(x+2)2=9, (d+1/2)2=1(d+1/2)^2=1(d+1/2)2=1, (h−3/4)2=7/16(h-3/4)^2=7/16(h−3/4)2=7/16, (s+6)2=3/4(s+6)^2=3/4(s+6)2=3/4, (x+4)2=18(x+4)^2=18(x+4)2=18.

Problem 2723

If a line intersects a parabola at two points, the system has {\{{ two complex, two real, many, no }\}} solutions.

Problem 2724

Find the marginal cost of the cost function C(x)=15,000+60x+1,000xC(x) = 15,000 + 60x + \frac{1,000}{x}C(x)=15,000+60x+x1,000​ at x=100x = 100x=100. State the units.

Problem 2725

Problem 2726

Find the shortest distance from the origin to the line y=12x−2y = \frac{1}{2}x - 2y=21​x−2.

Problem 2727

Find the area of a pizza slice with a central angle of 23∘23^{\circ}23∘ from an 18-inch diameter pizza. The area is approximately □\square□ square inches (rounded to two decimal places).

Problem 2728

Problem 2729

Find the value of kkk that satisfies the inequality 6+3k<36+3k < 36+3k<3.

Problem 2730

Find the independent variable in the linear equation f(t)=4t+9f(t)=4t+9f(t)=4t+9.

Problem 2731

Solve 6.2x=34.16.2x=34.16.2x=34.1 for xxx using equality properties, express solution in simplest form.

Problem 2732

Solve for www: 2w+6=13w−4w+622w + 6 = 13w - 4w + 622w+6=13w−4w+62

Problem 2733

Find the zzz-score where the area to its right under the standard normal distribution is 0.39. Round the answer to 4 decimal places.

Problem 2734

Encuentra un par ordenado (x,y)(x, y)(x,y) que satisfaga la ecuación lineal 5x+y=45x + y = 45x+y=4.

Problem 2735

Solve the quadratic equation x2+7=0x^{2} + 7 = 0x2+7=0 by graphing the related function. Determine if the equation has a real-number solution.

Problem 2736

Solve for www, where www is a real number and 2w−1−5w−10=0\sqrt{2w-1} - \sqrt{5w-10} = 02w−1​−5w−10​=0. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Problem 2737

Find the value of the expression 2y+2.32y + 2.32y+2.3 when y=4y = 4y=4. (Type a whole number or a decimal.)

Problem 2738

Find the equilibrium price for the supply function p=S(x)=2+0.0002x2p=S(x)=2+0.0002x^2p=S(x)=2+0.0002x2 and demand function p=D(x)=20−0.05xp=D(x)=20-0.05xp=D(x)=20−0.05x.

Problem 2739

Find the first step to solve the integral ∫4x−x3(x−5)(x+6)\int \frac{4 x-x^{3}}{(x-5)(x+6)}∫(x−5)(x+6)4x−x3​.

Problem 2740

Solve the linear equation 2x+5y=−102x + 5y = -102x+5y=−10 by setting x=0x=0x=0 and y=0y=0y=0 to find the coordinates of the points.

Problem 2741

Solve for uuu where −14.9=u4−2.1-14.9=\frac{u}{4}-2.1−14.9=4u​−2.1.

Rewrite the confidence interval $0.22 < p < 0.72$ using plus/minus notation and interval notation.
(a) plus/minus notation: $p = 0.47 \pm 0.25$ (b) interval notation: $(0.22, 0.72)$

Find the y-intercept of the linear equation $y=\frac{3}{2}x-4$ . Enter the value that correctly fills the blank.

A rectangular metal piece is 25 in longer than its width. Cutting 5 in squares from the corners and folding the flaps up forms a $1120 \mathrm{in}^{3}$ open box. Find the original width and length.

Find the value of $c$ , where $c = \sqrt[3]{-20}^3$ .

Solve for the value of $b$ in the equation $-76 = -3b - 49$ .

Find the value of $\left(0.1\right)^{5}$ .

Find $y$ when $x$ is inversely proportional to $\sqrt{x}$ and $y=79$ when $x=625$ , given $x=390625$ . (Round to nearest hundredth)

Determine the value of $x$ that makes the equation $3(x+200)=3000$ true.

Find $h'(-1)$ where $h(x)=(x^{3}+p(x))^{4}$ and the given $p(x)$ values.

Perform a linear regression on the given distance vs. time data to find the slope $k$ in the equation $y=kx+h$ . Round the value of $k$ to the nearest tenth.

Find the probability of 3 successes in 8 trials of a binomial experiment with $45\%$ probability of success.

Simplify the expression $3.5+2.25 \div 0.75-6 \cdot \frac{1}{8}$ and select the correct answer.

Solve for the variable $s$ in the equation $3s + s = 2s + 8$ .

Regan has $\$ 60$ in a savings account. Given interest rate of $5\%$ per year, not compounded, find the interest earned in 1 year using the formula $i = p r t$ .

Find 2 equations with the same $x$ value as $\frac{2}{3}(6 x+12)=-24$ . Options: $4 x+8=-24$ , $9 x+18=-24$ , $4 x=-16$ , $\frac{18 x+36}{2}=-24$ , $4 x=-32$ .

Solve for the value of $w$ given the equation $\frac{9w}{9}=\frac{25}{9}$ .

Find $LN$ given $LM=x+18$ , $MN=16$ , and $LN=4x+19$ .

Determine which values of $x$ satisfy the inequality $17 > -8x + 1$ .

Describe the relationship between $x$ and $y$ in the equations $y=13x$ and $y=x+13$ . The value of $y$ is 13 more than $x$ in both equations.

Evaluate the exponential function $h(x)=1.5^{x}$ for $x=\sqrt{3}$ , and round the result to the nearest hundredth.

Solve for exact roots: $(x-3)^2=4$ , $(x+2)^2=9$ , $(d+1/2)^2=1$ , $(h-3/4)^2=7/16$ , $(s+6)^2=3/4$ , $(x+4)^2=18$ .

If a line intersects a parabola at two points, the system has $\{$ two complex, two real, many, no $\}$ solutions.

Find the marginal cost of the cost function $C(x) = 15,000 + 60x + \frac{1,000}{x}$ at $x = 100$ . State the units.

Find the shortest distance from the origin to the line $y = \frac{1}{2}x - 2$ .

Find the area of a pizza slice with a central angle of $23^{\circ}$ from an 18-inch diameter pizza. The area is approximately $\square$ square inches (rounded to two decimal places).

Find the value of $k$ that satisfies the inequality $6+3k < 3$ .

Find the independent variable in the linear equation $f(t)=4t+9$ .

Solve $6.2x=34.1$ for $x$ using equality properties, express solution in simplest form.

Solve for $w$ : $2w + 6 = 13w - 4w + 62$

Find the $z$ -score where the area to its right under the standard normal distribution is 0.39. Round the answer to 4 decimal places.

Encuentra un par ordenado $(x, y)$ que satisfaga la ecuación lineal $5x + y = 4$ .

Solve the quadratic equation $x^{2} + 7 = 0$ by graphing the related function. Determine if the equation has a real-number solution.

Solve for $w$ , where $w$ is a real number and $\sqrt{2w-1} - \sqrt{5w-10} = 0$ . If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Find the value of the expression $2y + 2.3$ when $y = 4$ . (Type a whole number or a decimal.)

Find the equilibrium price for the supply function $p=S(x)=2+0.0002x^2$ and demand function $p=D(x)=20-0.05x$ .

Find the first step to solve the integral $\int \frac{4 x-x^{3}}{(x-5)(x+6)}$ .

Solve the linear equation $2x + 5y = -10$ by setting $x=0$ and $y=0$ to find the coordinates of the points.

Solve for $u$ where $-14.9=\frac{u}{4}-2.1$ .

Find the exact values of the six trigonometric functions of the angle $1290^{\circ}$ , where $\sin 1290^{\circ}=\square$ .

Find the derivative of $y=\sqrt{x-3}$ using the definition of derivative.

Find the perimeter $P$ of a square playground with area $A=x^{2}-30x+225$ square feet.

Apply commutative property to rewrite $-\frac{1}{6}+a=\square\begin{bmatrix} \frac{\square}{\square} & \\ x & 5 \end{bmatrix}$ .

Find the solution to the ODE $y' = -1.7xy$ with $y(0) = 9.6$ , and evaluate the solution at $x = 1.3$ .

Solve the exponential equation $4(3)^{x}=4^{3 x-1}$ for the unknown variable $x$ .

Choose the option that best demonstrates the commutative property of multiplication: $4 \times 1=1 \times 4$ .

Rearrange the formula $V=\frac{\pi r^{2} h}{3}$ to solve for $h$ .

Events $E=\{$ first roll is 1 $\}$ and $B=\{$ total of two rolls is 5 $\}$ are not independent when rolling a 4-sided die twice.

Find the values of $m$ that satisfy the equation $(8m-5)(6m+9)=0$ .

Find the error in the math operations and provide the correct solution. $42 \div 5, 8 \times 5=40, 9 \times 5=45, (8 \times 5)+2=42, 42 \div 5=8 R 5$

Solve for $n$ when $n=5(2k^2+3k-6)$ and $k=-2$ .

Find the percentage of 112,738 that is equal to $82,542$ .

Solve the inequality $\frac{x}{-2}<-6$ for $x$ .

Find the 28th percentile, middle 96% range, and interquartile range for the number of chocolate chips in a bag, where the number is approximately normally distributed with $\mu=1262$ and $\sigma=118$ .

Solve for $x$ in the equation $5 e^{x / 7} - 8 = 0$ .

Find the value of $x^8$ if $x^4 = 3$ .

Find the price of an evening movie given that the matinee price is $\$ 2$ less than the evening price.
Equation: $x = 12 + 2$

Use De Morgan's Laws to negate the statement " $7-6=1$ and $5+7 \neq 6$ ". The correct negation is option D: " $7-6 \neq 1$ or $5+7=6$ ".

Find the value of $c$ given the equation $64^{2} + 36^{2} = c$ .

Find the value of $10x+7$ given that $5x+3=10$ .

Simplify the expression $-8[5+(6-7)]$ and select the correct answer. A. $-8[5+(6-7)]=\square$ (Simplify your answer.) B. The expression is undefined.

Which expression results in a rational number? 1) $\sqrt{2} \cdot \sqrt{18}$ 2) $5 \cdot \sqrt{5}$ 3) $\sqrt{2}+\sqrt{2}$ 4) $3 \sqrt{2}+2 \sqrt{3}$

Find the $y$ -component of a velocity vector $52^{\circ}$ below the negative $x$ -axis with $x$ -component $-20 \mathrm{m} / \mathrm{s}$ , rounded to 1 decimal place.

Solve for $n$ given the equation $n-20=m$ and the expression $n=$ .

Solve for $x$ in the linear equation $D x + F y = G$ .

Find $\left(\frac{h(x)}{g(x)}\right)(1)$ and all values not in the domain of $\frac{h(x)}{g(x)}$ , where $h(x)=(-6+x)(-1+x)$ and $g(x)=-9+8x$ .

Solve for $p$ in the equation $7p-4=8$ .

Find the amount of fertilizer needed to cover 632 square feet, given that 3 lbs covers 237 square feet. Use the proportion $\frac{3}{237} = \frac{632}{x}$ to solve for the unknown quantity $x$ .

Identify the transformations applied to the equation $y=4(x+3)^{2}+4$ and state the vertex.