P(x)=2x^3-11x^2+ax-40 if x+4 is a factor of this polynomial what is the value of a

Answer:

C.

Step-by-step explanation:

1. Find the area part of the equation.

Area is base×height, so if we substitute 8 as the base and w as the height, A=8w

2. Find the perimeter of the equation.

Perimeter of a rectangle is 2(base + height), so in this case, it will be

P=2(8 + w), or C.

So, on solving the provided question, we can say that As a result, this equation student's predicted overall college grade point average is 3.18744.

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

The following is an estimation of the final college GPA for a student with an 84 high school average and a 540 on the SAT mathematics test using the provided regression equation:

y = -1.41 + 0.0235(84) + 0.00486(540) \sy = -1.41 + 1.974 + 2.62344 \sy = 3.18744

As a result, this student's predicted overall college grade point average is 3.18744.

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The statement can be true under certain conditions. The probability that a particular bucket contains more than 5 elements will depend on the size of the bucket and the distribution of the elements.

However, if we assume that the distribution is uniform and the number of elements is much larger than the number of buckets, we can estimate the probability using the following formula:

P(bucket > 5) = 1 - P(bucket <= 5) = 1 - (5/n)

Where n is the number of elements to be sorted, and 5 is the maximum number of elements that can fit in a bucket. If we assume that there are 16 buckets, then the probability that a particular bucket contains more than 5 elements is at most 1/16 if:

1 - (5/n) <= 1/16

Solving for n, we get:

n >= 80

This means that if we have at least 80 elements to be sorted, and we distribute them uniformly among 16 buckets, then the probability that a particular bucket contains more than 5 elements is at most 1/16. Therefore, the statement can be true under certain conditions.

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Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

The correlation coefficient mostly based on all the observation's values' with the deviations from about the mean for both variables. So, it's true.

A correlation coefficient is a statistical degree of the diploma to which modifications to the cost of 1 variable are expecting extrade to the cost of another. In definitely correlated variables, the cost will increase or decreases in tandem. A correlation coefficient is a variety of among -1 and 1 that tells you the electricity and path of a courting among variables.

In different words, it displays how comparable the measurements of or greater variables are throughout a dataset. Both quantify the path and electricity of the connection among numeric variables. When the correlation (r) is negative, the regression slope (b) might be negative. When the correlation is positive, the regression slope might be positive.

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The solution of the system of linear equations is (x, y, z) = (1, 1, - 3).

In this problem we find a system of three linear equations with three variables, which can be resolved by several methods. In this case, we shall use the method of substitution. First, clear the variable x in the third equation:

x = 4 - 3 · y

Second, substitute x in the first two equations:

3 · (4 - 3 · y) + 2 · y - z = 8

12 - 9 · y + 2 · y - z = 8

- 7 · y - z = - 4

2 · (4 - 3 · y) + 2 · z = - 4

8 - 6 · y + 2 · z = - 4

- 6 · y + 2 · z = - 12

Third, clear z in the first equation derived in the previous step:

z = 4 - 7 · y

Fourth, substitute z in the second equation derived in the second step:

- 6 · y + 2 · (4 - 7 · y) = - 12

- 6 · y + 8 - 14 · y = - 12

- 20 · y = - 20

y = 1

Fifth, calculate y and x:

z = 4 - 7 · 1

z = - 3

x = 4 - 3 · 1

x = 1

The solution of the system of linear equations is (x, y, z) = (1, 1, - 3).

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The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.

To find the percent change or growth rate of a quantity between two different values, you can use the formula:

Percent change = ( new value - old value ) / old value x 100%

The new value would be the population of the village after 10 years which is 450 people.

The old value is the initial population of the village which is 400

The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %

= 12. 5 %

The growth rate for the village is therefore 12. 5 % every ten years.

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Answer:

3 x + 4 = 5 x

Step-by-step explanation:

just read it the words slowly and write it down as you hear it

Answer:

y=-1/3x+6 .Hope this helps

Answer:

3y = -x + 18

Step-by-step explanation:

Given the equation y = 3x + 2;

By comparison with the general equation

y = mx + C ; where m is the slope

We see that m = 3

Now for a perpendicular line and it's slope is -1/m = -1/3 and let it be M2

But the new slope cuts across points (3,5) .

It means M2 = y - 5/ x-3

-1/3 = y-5/ x-3

-1(x-3) = 3(y-5)

-x +3 = 3y -15

3y = -x + 18

Answer:

The given sequence is a geometric sequence and the common ratio is 4

Step-by-step explanation:

A geometric sequence is a sequence in which the next term is obtained by multiplying the previous term with a ratio r.

Given sequence is:

6,24,96,384,1536,…

Here

a1 = 6

a2 = 24

a3 = 96

a4 = 384

a5 = 1536

The common ratio is the ratio between consecutive terms of a geometric sequence.

If the common ratio of a sequence is same, then the sequence is a geometric sequence.

So,

\(r = \frac{a_2}{a_1} = \frac{24}{6} = 4\\r = \frac{a_3}{a_2} = \frac{96}{24} = 4\\r = \frac{a_4}{a_3} = \frac{384}{96} = 4\\r = \frac{a_5}{a_4} = \frac{1536}{384}= 4\)

As the common ratio is same, the given sequence is a geometric sequence.

Hence,

The given sequence is a geometric sequence and the common ratio is 4

Answer:

24

Step-by-step explanation:

Answer:

--------------------------------------

Vertex form of a quadratic function:

Given (h, k) = (-2, -13) and a point (0, - 5).

Substitute all into equation and solve for a:

The parabola is:

Convert it to the standard form:

Answer:

\(f(x)=2x^2+8x-5\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

Given:

Substitute the given vertex and point into the Vertex formula and solve for a:

\(\implies -5=a(0-(-2))^2+(-13)\)

\(\implies -5=a(0+2)^2-13\)

\(\implies -5=4a-13\)

\(\implies 4a=8\)

\(\implies a=2\)

Substitute the given vertex and found value of a into the Vertex formula:

\(y=2(x+2)^2-13\)

The standard form of a quadratic function is  f(x) = ax² + bx + c

Expand the function in vertex form to standard form:

\(\implies y=2(x^2+4x+4)-13\)

\(\implies y=2x^2+8x+8-13\)

\(\implies y=2x^2+8x-5\)

Answer:

11, -16 + 12√3

13, 5 - 13√5

Step-by-step explanation:

11, (-2√3 + 2)(√3 - 5)

=-2√3(√3) - 2√3(-5) + 2√3 - 2(5)

= -16 + 12√3

13, (-2 - 3√5)(5 - √5)

= -2(5) - 2(√-5) - 3√5(5) - 3√5(-√5)

= 5 - 13√5

Answer: d=18.2

Step-by-step explanation: d=2r=2·9.1=18.2

Answer:

y = 3

Step-by-step explanation:

Since x = 4

4 + y = 7

Subtract 4 from both sides of the equation

y + 4-4 = 7 -4

Simplify

y =3

[RevyBreeze]

Answer:

9 + (4x2)

Step-by-step explanation:

Sum of 9 = 9 +

4 times 2 = (4x2)

A correct stacked bar chart would show store location on the horizontal axis, and the percentage of time spent on each task on the vertical axis. Each store location would be represented as a separate bar, with each bar displaying the percentage of time spent on each task as stacked sections within the bar.

A stacked bar chart is a type of graph that is used to visualize data. It is a bar chart that displays the relative contribution of different data points to the whole. It is particularly useful for comparing the contribution of different data points across different categories. For example, a stacked bar chart can be used to show the percentage of time spent on different tasks at different store locations. The horizontal axis would represent the store locations, while the vertical axis would represent the percentage of time spent on each task. Each store location would then be represented as a separate bar, with each bar displaying the percentage of time spent on each task as stacked sections within the bar. The colors used to represent each task can be used to make the chart more visually appealing, and help viewers differentiate between the tasks. The stacked bar chart is a useful tool for analyzing data over multiple categories, and can be used to quickly identify trends and patterns.

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The complete question is

which of the following shows a correct stacked bar chart with store location on the horizontal axis and percentage of time spent on each task on the vertical axis Store Location Task

Answer:

x=7

Step-by-step explanation:

herp derp herp derp herp derp

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Since y is not equal to 10, hence the coordinate point does not fall on the line graph.

Since we are not given a graph, we will use the attached graph as a reference:

The equation of a line is expressed as y = mx + b

m is the slope

b is the y-intercept

Get the slope of the line

\(m = \frac{0-(-2)}{-2-0}\\m=\frac{2}{-2}\\m = 1\)

Since the line suts the y-axis at y = -2, hence b = -2

Get the equation of the line:

Recall that y = mx + b

y = x + (-2)

y = x - 2

Next is to check if the coordinate (5, 10) lies on the line

If x = 5

y = x - 2

y = 5 - 2

y = 3

Since y is not equal to 10, hence the coordinate point does not fall on the line graph.

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Note that the actual area under the above given curve  between x =2 and x = 6 is 12,870 (Option A)

To derive the actual arae under the curve, we have to tke the limit as the number of rectangles approaches infinity, which means we need to evaluate:

Limn → ∞ RN

Replacing the given formula for Rn, we get:

Limn →∞ [ 193955n⁴ + 863n³ - 38080n² - 204815n⁴

This will given us:

Limn → ∞  [ 193955n + + 863/n - 38080/n² - 2048/n⁴/15]

Note: As n approaches infinity, the second and 3rd terms will become relative negligible when palced side by side with the 1st term and the fouth term nears zero.

Thus:

Limn → ∞ (193055 / 15) = 12870.33

So Option A is the correct answer when approximated.

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Answer:

peepeepoopoo check

Step-by-step explanation:

In algebra, "seven times a number" is written as 7x, which is the multiplication of seven instances of the symbol x.

An equation that includes constants, variables, and a few algebraic operations is said to be algebraic. A good example of an algebraic expression is 3x2 2xy + d. So, three different types of fundamental building blocks make up an algebraic expression: Coefficient (i.e. numbers) (i.e. numbers)

A seven-times-a-number is represented by multiplying it by seven or adding it to another integer (since this is an abbreviated successive addition ).

If x is any number, then it may be written as follows seven times: Algebraic expressions (numbers or letters) are linked by fundamental operations including addition, subtraction, multiplication, and division in mathematical language.

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Complete question -

Seven times a number in algebraic expression

Answer:

relative frequency of choosing aquarium is 80/210

about 400 students out of 2000 will choose aquarium

Step-by-step explanation:

relative frequency of choosing aquarium is 80/210

proportion:

a = students who choose aquarium

80/210 = a/1000

210a = 80000

a = 80000/210 which is close to 80000/200 which equals 800/2 or about 400 students

I assume the equation is

\(x \, dy - (y^2 - 4y) \, dx = 0\)

since separating variables leads to

\(x\,dy = y(y-4) \, dx\)

\(\dfrac{dy}{y(y-4)} = \dfrac{dx}x\)

for which the condition that \(x>0\) is actually relevant, as opposed to the simpler differential equation

\(x \, dx - (y^2-4y)\, dy = 0 \implies y(y-4) \, dy = x \, dx\)

(though it's a bit more work to solve for \(y(x)\) in this case)

That the slope \(\frac{dy}{dx}\) is non-zero tells us that

\(\dfrac{dy}{dx} = \dfrac{y(y-4)}x \neq 0 \implies y\neq0 \text{ and } y \neq 4\)

Integrate both sides.

\(\displaystyle \int \frac{dy}{y(y-4)} = \int \frac{dx}x\)

On the left, expand into partial fractions.

\(\displaystyle \frac14 \int \left(\frac1{y-4} - \frac1y\right) \, dy = \int \frac{dx}x\)

\(\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x| + C\)

With the given initial value, we find

\(y(1) = 2 \implies \dfrac14 (\ln|2-4| - \ln|2|) = \ln|1| + C \implies C = 0\)

so the particular solution is

\(\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x|\)

By definition of absolute value, with the initial condition of \(0 < y=2 < 4\) and the condition \(x>0\), we can remove the absolute values.

\(\dfrac14 (\ln(4-y) - \ln(y)) = \ln(x)\)

Solve for \(y\).

\(\ln\left(\dfrac{4-y}y\right) = 4 \ln(x) = \ln\left(x^4\right)\)

\(\dfrac{4-y}y = \dfrac4y - 1 = x^4\)

\(\implies y(x) = \dfrac4{1 + x^4}\)

Then

\(10y\left(\sqrt2\right) = \dfrac{40}{1 + \left(\sqrt2\right)^4} = \boxed{8}\)

On the off-chance you meant the other equation I suggested, we find

\(\displaystyle \int y(y-4) \, dy = \int x \, dx\)

\(\displaystyle \frac{y^3}3 - 2y^2 = \frac{x^2}2 + C\)

\(y(1) = 2 \implies \dfrac83 - 2\cdot4 = \dfrac12 + C \implies C = -\dfrac{35}6\)

Solving for \(y(x)\) involves picking the right branch of the cube root that agrees with \(y(1)=2\). With the cube root formula, we find

\(y(x) = 2 - \xi(1 - i\sqrt3) - \dfrac1\xi (1+i\sqrt3)\)

where

\(\xi = \dfrac{2\sqrt[3]{4}}{\sqrt[3]{3x^2 - 3 + \sqrt{9x^4 - 18x^2 - 1015}}}\)

With a calculator, we find

\(10y\left(\sqrt2\right) \approx 18.748\)

Answer:

True

Step-by-step explanation:

Answer:

Yes because it’s above the dotted line in the blue area.

Step-by-step explanation:

Plz give brainliest and hit the thanks button im in a bet against a friend and whoever wins gets $50 so plz

Data:

• 4 1/2 quarts in 3/4 hours

• 2 gallons (8 quarts) in x hours.

Procedure:

0. Homogenizing data to improper fractions.

2. Displaying the data as ratios:

3. Solving for x:

Answer: 4/3