(2x + 3)^2 - 19 = 81
x = _ ;

x = _

(If there is one answer, then write that answer in both blanks)

(If there is no real solution, then write no real solution in both blanks)

(If you change a fraction answer into a decimal, then the decimal must be exactly equal to the fraction. Do not round the decimal.)

Solve the equation.

HURRY 100 points

Answer: The answer is D. the data distribution is skewed to the right.

Step-by-step explanation:

Since in the picture it is shown that everything is more to the left but the tail is on the right side so it would be skewed right.

Answer:

0.00007km

Step-by-step explanation

7x10^-5=0.00007km

look up a video-How to work out negative powers.

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

Answer:

C 40m + 0.73

Step-by-step explanation:

since it is 40 per month it would be 40m because the m stands for how many months the chocolate factory charges for delivery and the extra .73 for every chocolate bar is an add on which would make this 40m + 0.73

Answer: C

Step-by-step explanation:

The temperature increase went down because it became cooler as the sun went down for the night.

The triangles' corresponding sides' are proportional and their corresponding angles are congruent therefore, the triangles are sim

The correct option is C). proportional; congruent; similar

When the triangle is dilated from the origin at a scale factor of 2 to create Triangle then, the image of the triangle and the original triangle are similar to each other

However for similar triangles, corresponding angles are equal or congruent, and corresponding sides are in ratio or scaled

For example : A triangle ABC is dilated by a factor of 3 and centered at (-5,-4)

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Answer:

Zero Slope

Step-by-step explanation:

Answer:

do u uhh still get on here

Step-by-step explanation:

Answer: y = 120 degrees, x = 31 degrees

Step-by-step explanation:

Y is 120 degrees because same-side exterior angles are supplementary.

Therefore, 60+ y = 180; y = 120

Since "y" and "4x-64" are supplementary, they add up to 180.

We already know y as 120.

So 120 + 4x - 64 = 180

4x = 124

x = 31

To find the mean and variance of the area of a circle with a radius that is uniformly distributed on the interval (2, 3).

We need to calculate the average area and the variability of the area based on the given distribution.

Calculate the mean: The mean of a continuous uniform distribution is the average of the minimum and maximum values. In this case, the minimum radius is 2 and the maximum radius is 3. Therefore, the mean radius is (2 + 3) / 2 = 2.5.

Calculate the variance: The variance of a continuous uniform distribution is calculated using the formula Var(X) = (b - a)^2 / 12, where a and b are the minimum and maximum values of the distribution. In this case, a = 2 and b = 3. Substituting these values into the formula, we have Var(X) = (3 - 2)^2 / 12 = 1 / 12.

Calculate the mean of the area: Since the area of a circle is given by A = πr^2, we can substitute the mean radius (2.5) into the formula to find the mean of the area. Therefore, the mean of the area is π * (2.5)^2 = 6.25π.

Calculate the variance of the area: To find the variance of the area, we can use the variance of the radius and apply the transformation formula for variances. Since the variance of the radius is 1/12, the variance of the area is (π^2 / 12) * (2.5^2)^2 = 15.625π^2 / 12.

Therefore, the mean of the area is 6.25π and the variance of the area is 15.625π^2 / 12.

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Answer:

Step-by-step explanation:

17/6 or 2 1/2 (D)

Just subtract 3 4/6 by 5/6

hope this helped

Answer:

2.B

Step-by-step explanation:

2.

Henry's container holds milk=200*7/8=175 ml

In the multiple regression equation, the symbol b represents the partial slope.

In multiple regression analysis, the goal is to examine the relationship between a dependent variable (Y) and multiple independent variables (X1, X2, X3, etc.). The multiple regression equation can be expressed as:

Y = b0 + b1*X1 + b2*X2 + b3*X3 + ...

In this equation, the symbol b is used to represent the regression coefficients or slopes associated with each independent variable. Specifically, each b coefficient represents the change in the dependent variable (Y) associated with a one-unit change in the corresponding independent variable, while holding all other independent variables constant. Therefore, b is the partial slope of the specific independent variable, indicating the direction and magnitude of the relationship between that independent variable and the dependent variable.

Option A, "partial slope," correctly describes the role of the symbol b in the multiple regression equation. The slope of X and Y (Option B) refers to the simple regression coefficient in a simple linear regression equation with only one independent variable. Option C mentions the beta slope of X and Z, which is not a standard terminology. Option D, Y-intercept, represents the value of Y when all independent variables are set to zero, and it is denoted by b0 in the multiple regression equation.

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Answer:

i love this one 123465678891011121314

The case 1 (a certificate of deposit (CD) ) will earn more interest.

Simple interest is the interest amount for a particular principal amount of money at some rate of interest.

Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period.

Given

Case 1:

Principal  p = $500

Time t = 3 years

Rate of interest r = 2%

Based on the given conditions

Simple Interest = \(\frac{prt}{100}\)

= \(\frac{500(2)(3)}{100}\)

= $30

Case 2:

Principal  p = $250

Time t = 2 years

Rate of interest r = 3%

Based on the given conditions

Simple Interest = \(\frac{prt}{100}\)

= \(\frac{250(3)(2)}{100}\)

= $15

The case 1 CD will earn more interest.

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Answer:

1st one is 30,

2nd one is 20,

so the 3rd one will be 30+20 so the answer is 50

Step-by-step explanation:

Answer:

\(b(b+7)(b-7)\)

Step-by-step explanation:

Start by factoring a \(b\) out:

\(b(b^2-49b)\)

For the term \(b^2-49b\), we're looking for two numbers that add up to 0 and multiply to be -49:

\(7+(-7)=0,\\7\cdot -7=-49\\\)

Two numbers: \(7\text{ and }-7\)

Therefore, we have:

\(\boxed{b(b+7)(b-7)\checkmark}\)

1) The total production of A and B must be at least 100 units: A + B ≥ 100.

2) Y ≥ 2/5 * Z. 3) x1 / x2 ≤ 13/23. 4) M ≥ 1/4 * (P + Q). 5) D ≤ 2C + 6.

1) The total production of A and B must be at least 100 units:

A + B ≥ 100.

2) The quantity of Y must be at least two times as large as one-fifth the quantity of Z:

Y ≥ 2/5 * Z.

3) The ratio of x1 to x2 can be no more than the ratio of 13 to 23:

x1 / x2 ≤ 13/23.

4) The quantity of M must be at least one-fourth as large as the sum of P and Q:

M ≥ 1/4 * (P + Q).

5) The production of D must be no more than 6 more than twice the production of C:

D ≤ 2C + 6.

In summary:

1) A + B ≥ 100.

2) Y ≥ 2/5 * Z.

3) x1 / x2 ≤ 13/23.

4) M ≥ 1/4 * (P + Q).

5) D ≤ 2C + 6.

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"Reflection and dilation" are the series of transformations that would produce a square that was comparable to the original square but not congruent.

Reflection:

Reflection is a method of transformation which it flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance as from mirror line as its mirrored point.

Dilation:

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Answer:

the sides are 46, 161, 138 respectively to sides 2, 7, 6

Step-by-step explanation:

2+7+6=15

345/15=23   this is our factor

2x23=46

7x23=161

6x23=138

By the principle of mathematical induction, we have proved that for all \(\(n \in \mathbb{N}\), \(\sum_{k=1}^{n} k^{3} = \left(\sum_{k=1}^{n} k\right)^{2}\).\)

To prove the first statement, we can use mathematical induction.

Base case: We start by checking the statement for the base case,

n = 1. The left-hand side of the equation is \(\(1^3 = 1\)\), and the right-hand side is \(((1)^2 = 1\)\).

Hence, the statement holds true for n = 1.

Inductive step: Now, assume the statement is true for some arbitrary positive integer m, i.e., assume \(\(\sum_{k=1}^{m} k^{3} = \left(\sum_{k=1}^{m} k\right)^{2}\).\)

We need to show that the statement is also true for m + 1, i.e., we need to prove that\(\(\sum_{k=1}^{m+1} k^{3} = \left(\sum_{k=1}^{m+1} k\right)^{2}\).\)

Using the induction hypothesis, we have:

\(\(\sum_{k=1}^{m} k^{3} = \left(\sum_{k=1}^{m} k\right)^{2}\)\)

Adding \(\((m+1)^3\)\) to both sides of the equation, we get:

\(\(\sum_{k=1}^{m} k^{3} + (m+1)^3 = \left(\sum_{k=1}^{m} k\right)^{2} + (m+1)^3\)\)

Simplifying the right-hand side, we have:

\(\(\left(\sum_{k=1}^{m+1} k\right)^{2}\)\)

Using the formula for the sum of consecutive integers, we can rewrite the right-hand side as:

\(\(\left(\frac{(m+1)(m+2)}{2}\right)^{2}\)\)

Now, we can rewrite the left-hand side of the equation using the formula for the sum of cubes:

\(\(\sum_{k=1}^{m} k^{3} + (m+1)^3 = \frac{m^{2}(m+1)^{2}}{4} + (m+1)^3\)\)

To simplify further, we can factor out \(\((m+1)^2\)\) from both terms on the right-hand side:

\(\(\frac{m^{2}(m+1)^{2}}{4} + (m+1)^3 = \frac{(m+1)^{2}}{4} \left(m^{2} + 4(m+1)\right)\)\)

Expanding the expression \(\(m^{2} + 4(m+1)\)\), we get:

\(\(\frac{(m+1)^{2}}{4} \left(m^{2} + 4m + 4\right)\)\)

Simplifying further, we have:

\(\(\frac{(m+1)^{2}}{4} (m+2)^2\)\)

Now, comparing the simplified left-hand side and the right-hand side, we see that they are equal:

\(\(\frac{(m+1)^{2}}{4} (m+2)^2 = \left(\frac{(m+1)(m+2)}{2}\right)^{2}\)\)

Therefore, we have shown that if the statement is true for m, it is also true for m + 1.

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The test statistic to test the claim that the standard deviation of all customer waiting times is greater than 3.5 minutes, 7.444

Standard deviation is a measure of the spread or dispersion of a set of data. It quantifies how much the individual data points in a set deviate from the mean (average) value of the set. In other words, it tells you how much the data is scattered around the mean.

The test statistic to test the claim that the standard deviation of all customer waiting times is greater than 3.5 minutes can be calculated using the following formula:

Z = (s / σ) x √n

where s is the sample standard deviation (4.8 minutes), σ is the population standard deviation (3.5 minutes), and n is the sample size (15).

Z = (4.8 / 3.5) x √15

  = 7.444

So the test statistic is 7.444.

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Given

To factorize.

Explanation:

It is given that,

That implies,

Hence, the answer is (2x +3a²)(2x - 3a²).

Because the critical region is all on one side in a one-tailed test and needs to be split between the two tails in a two-tailed test.

In a one-tailed test, the alternative hypothesis is directional and the critical region is all on one side of the distribution. In a two-tailed test, the alternative hypothesis is non-directional and the critical region is split between the two tails of the distribution.

It is easier to reject the null hypothesis with a one-tailed test because the critical region is all on one side of the distribution, making it more likely to observe a significant difference and reject the null hypothesis. In contrast, the critical region is split between the two tails in a two-tailed test, making it less likely to observe a significant difference and reject the null hypothesis.

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Answer:

Domain: number of copies produced = {0, 1, 2, 3, ... , 100}

Image: cost of publishing copies = {600, 610, 620, 630, ... , 1,600}

Step-by-step explanation:

The original question is regarding the domain and image of the cost ('c') function.

The function is:

\(c=10n+600\)

The domain of the function is the number of copies produced, which encompasses all natural numbers from 0 to 100 copies.

The image of the function is the cost of publishing those copies, which starts at c = 600 (when n = 0 copies), and increases by 10 per copy until c = 1,600 (when n= 100 copies).

The domain is {0, 1, 2, 3, ... , 100}

The image is {600, 610, 620, 630, ... , 1,600}

The derivative of f at Po in the direction of A is -220. To find the derivative of the function f(x,y) = 2xy + 5y at Po(-9,2) in the direction of A(-31-3j), we need to first find the directional derivative in the direction of A.

The directional derivative is given by the dot product of the gradient of f at Po and the unit vector in the direction of A:

D_A f(Po) = ∇f(Po) · (A/||A||)

where ||A|| is the magnitude of A, given by:

||A|| = sqrt((-31)^2 + (-3)^2) = sqrt(980)

To find the gradient of f at Po, we take the partial derivatives with respect to x and y:

∂f/∂x = 2y

∂f/∂y = 2x + 5

evaluated at Po, we get:

∂f/∂x(Po) = 4

∂f/∂y(Po) = -18

so the gradient of f at Po is:

∇f(Po) = <4, -18>

Now we can find the directional derivative:

D_A f(Po) = ∇f(Po) · (A/||A||)

= <4, -18> · (-31/sqrt(980), -3/sqrt(980))

= -220/sqrt(980)

Finally, to find the derivative of f at Po in the direction of A, we multiply the directional derivative by the magnitude of A:

D_A f(Po) = (-220/sqrt(980)) ||A||

= (-220/sqrt(980)) sqrt(980)

= -220

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look at the step by step explanation.

Step-by-step explanation:

Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.

Answer:

Complicated answer.

Step-by-step explanation:

So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.

1. The perimeter is actually 24

2. The side lengths are actually 4

Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!

Step-by-step explanation:

We know that the exterior angle at vertex C is equal to the sum of the interior angles at vertices A and B that are not adjacent to C. Thus, we have:

∠ACB = ∠A + ∠B

Since ∠AQC is the angle bisector of ∠BAC, we have:

∠AQD = ∠CQB

Since BQ is perpendicular to AC, we have:

∠BQC = 90° - ∠QCB

Now, let x be the measure of angle ABC. Then we have:

∠A = 180° - ∠ACB - x

∠B = 180° - ∠ACB - (90° - ∠QCB)

Substituting the given values and simplifying, we get:

∠A = 68° - x

∠B = 22° + ∠QCB

Now, we use the fact that the angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180°

Substituting the above expressions and simplifying, we get:

68° - x + 22° + ∠QCB + 112° = 180°

Simplifying further, we get:

∠QCB + x = 22°

But we also know that ∠QCB + x is equal to ∠ABC. Thus, we have:

∠ABC = 22°

Therefore, the measure of angle ABC is 22 degrees.

Answer: -2

Step-by-step explanation:

Answer:

$300

Step-by-step explanation:

It is going up $35 per hour

Answer:

$300 for 7hrs

Step-by-step explanation:

because $35 an hour keep adding that on to $230 to get $300 hope this helps!

Answer:

The sampling distribution of the sample mean is a probability distribution of all possible sample means of a given sample size that can be drawn from a population. The shape of the sampling distribution of the sample mean is approximately normal if the sample size is large enough (n > 30) regardless of the shape of the population distribution1. Therefore, we do not need to make any assumptions about the shape of the population1.

I hope this helps!

Step-by-step explanation: