Given (x – 7)2 = 36, select the values of x.

x = 13

x = 1

x = –29

x = 42

Answer:

12

Step-by-step explanation:

2²+2³means 2×2+2×2×2=4+8=12

Answer:

x=-9 and x=5

Step-by-step explanation:

x+9=0 and x-5=0

x=-9 or x=5

Answer: No the real answer is 35.10585

Step-by-step explanation:

Answers:

low estimate = 9.53

high estimate = 9.87

====================================================

Explanation:

We have this given info

Let's calculate the margin of error based on the last three items mentioned above.

E = margin of error

E = t*s/sqrt(n)

E = 2.01*0.606/sqrt(51)

E = 0.17056251591511

E = 0.1706 approximately

Then we can compute the low estimate (L) and high estimate (H)

L = xbar - E

L = 9.7 - 0.1706

L = 9.5294

L = 9.53

and

H = xbar + E

H = 9.7 + 0.1706

H = 9.8706

H = 9.87

Answer:

B and E

Step-by-step explanation:

A. Incorrect; the expanded form of 3(4x + 3) is 12x + 9

B. Correct; the cumulative property of addition was applied here.

C. Incorrect; this adds up to 8x + 52, which is not equivalent to 12x + 9

D. Incorrect; this equals 13

E. Correct; this is the expanded form of 3(4x + 3)

Answer:

b e

becuase it is b and e

According to my official calculations of the picture above, A'B'C' is 4x larger than the triangle ABC. Which would mean that ABC' is from a dialation of 4 from the original triangle, ABC.

I can't remember how you put it into the ratio form, but I think its 1:4??????

the derivative of y = -\(x^2\) + 5x + 2 is  dy/dx = -2x + 5. . For y = 2\(x^2\) - 8x + 10 the  dy/dx = 4x - 8. for y = -2\(x^2\)+ 9x - 1 the  dy/dx = -4x + 9, after differentiation.

a. To find the derivative of y = -\(x^2\) + 5x + 2, we differentiate each term with respect to x. The power rule states that for a term of the form \(x^n,\) the derivative is n*\(x^(n-1)\). Applying this rule, we get:

dy/dx = -2x + 5

b. For y = 2\(x^2\)- 8x + 10, we again differentiate each term using the power rule:

dy/dx = 4x - 8

c. Lastly, for y = -2\(x^2\)+ 9x - 1, we differentiate each term:

dy/dx = -4x + 9

In each case, we obtain the derivative of y with respect to x. The resulting derivatives represent the instantaneous rate of change of y with respect to x at any given point on the curve. They also indicate the slope of the tangent line to the curve at that point. By finding the derivatives, we gain insight into the behavior and characteristics of the functions, such as the direction of increasing or decreasing values and the presence of maximum or minimum points.

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Answer:

y = -5/2x - 4

Step-by-step explanation:

When given a point and a slope, we use slope-intercept formula:

y - y1 = m (x - x1)

m = slope  point: (-2,1)

y - y1 = m (x - x1)

y - 1 = -5/2 (x - (-2))

y -1 = -5/2x - 5

 + 1          + 1

y = -5/2x - 4

To check our answer, I attached the graph.

Hope this helps!

Answer:

21 degrees

Step-by-step explanation:

A Triangle has the total of 180 degrees. 180 - 73 - 86 = 21

Answer:

hope it helps

ppz mark as brainliest

The value of x = 25 % (option b) in 79% of 8400 + 66.66% of 4800 = 120% of 7200+ x% of 4784. by converting the percentages.

79% of 8400 = ( 79/100) x 8400

                     = 6636

66.66% of 4800 = (66.66/100)x4800

                      = 3199.68

120% of 7200 = (120/100)x7200

                       = 8640

x% of 4784  = (x/100) x 4784

we are given that, 79% of 8400 + 66.66% of 4800 = 120% of 7200+ x% of 4784. what is the value of x :

therefore, 6636 + 3199.68 = 8646 + (x/100) x 4784

                 (x/100) x 4784 = 6636 + 3199.68 - 8646

                                         = 1189.68

                                (x/100) = 1189.68/4784

                                            = 0.248

                                    x = 0.248 x 100

therefore , the value of x is equals to 24.8 % or 0.248 which is approximated to 25 % that is option (b)

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Answer:

Mike has =$63.94

Anthony = $197.3

Step-by-step explanation:

Step one:

let the certain amount that Mike has be x

so

in all Mike has = (x+25.25)

Anthony has

3(x+25.25)+5.48

we are told that the total amount for both Mike and Anthony is

$261.23

so

(x+25.25)+3(x+25.25)+5.48=261.23

open bracket

x+25.25+3x+75.75+5.48=261.23

collect like terms

x+3x+25.25+75.75+5.48=261.23

4x+106.48=261.23

4x=261.23-106.48

4x=154.75

divide both sides by 4

x=154.75/4

x=38.69

Hence,in all

Mike has = (38.69+25.25)

Mike has =$63.94

Anthony has

=3(38.69+25.25)+5.48

=3(63.94)+5.48

=191.82+5.48

=$197.3

the answer is 3x²

Step-by-step explanation:

we know that k = 3x

when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²

Answer:  the answer is 3x^2 three x to the power of 2

Answer:

4m+6r

Explanation

4 for each multiple choice so you multiply 4 by m

6 for each open response question so you multiply 6 by r

Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.

Given:

Claim: μ > 29 (right-tailed test)

α = 0.05

σ = 1.2 (population standard deviation)

Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)

We can follow these steps to conduct the hypothesis test:

Step 1: Formulate the null and alternative hypotheses.

The null hypothesis (H₀): μ ≤ 29

The alternative hypothesis (Hₐ): μ > 29

Step 2: Determine the significance level.

The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.

Step 3: Calculate the test statistic.

For a one-sample t-test, the test statistic is given by:

t = (x - μ) / (σ / √(n))

In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:

t = (29.3 - 29) / (1.2 / √(50))

= 0.3 / (1.2 / 7.07)

= 0.3 / 0.17

≈ 1.76

Step 4: Determine the critical value.

Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).

Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.

Step 5: Make a decision and interpret the results.

If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.

hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

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Answer:

2

Step-by-step explanation:

7y-14=0

7y=14

7y/7=14/7

y=2

Answer: (1: 70 degrees) (2: 110 degrees) (3: 35 degrees)

Step-by-step explanation:

For the first triangle, we know that the angles in total add up to 180 degrees. You already know two angles (40 and 70).

Let's, for now, label angle 1 as x.

40 + 70 + x = 180, since the sum of the angles add up to 180

110 + x = 180, no problems right?

110 - 110 + x = 180 - 110

x = 70

Now there's angle 2.

Let's label angle 2 as y.

We know angle 1 by now, and we should know that y + 70 = 180, since the two angles form a line together. A line is always 180 degrees.

y + 70 = 180

y + 70 - 70 = 180 - 70

y = 110

Now there's the last angle, angle 3

Let's label angle 3 as z

Repeating what we did for angle 1, we already know two angles (110 and 35)

110 + 35 + z = 180

145 + z = 180

145 - 145 + z = 180 - 145

z = 35

There you have it! The answer, but this was the long way. The short way is much simpler, but harder to teach without a one-on-one lesson.

Don't forget units!

The values of x in the interval [0, 2π] that satisfy the equation 8sin(2x) = 4 are π/12 and 5π/12.

To find the values of x that satisfy the equation 8sin(2x) = 4 in the interval [0, 2π], we can solve for x by isolating sin(2x) first and then finding the corresponding angles.

Let's solve the equation step by step:

8sin(2x) = 4

Divide both sides of the equation by 8:

sin(2x) = 4/8

sin(2x) = 1/2

To find the values of x, we need to determine the angles whose sine is 1/2. These angles occur in the first and second quadrants.

In the first quadrant, the reference angle whose sine is 1/2 is π/6.

In the second quadrant, the reference angle whose sine is 1/2 is also π/6.

However, since we're dealing with 2x, we need to consider the corresponding angles for π/6 in each quadrant.

In the first quadrant, the corresponding angle is π/6.

In the second quadrant, the corresponding angle is π - π/6 = 5π/6.

Now, let's find the values of x in the interval [0, 2π] that satisfy the equation:

For the first quadrant:

2x = π/6

x = π/12

For the second quadrant:

2x = 5π/6

x = 5π/12

Therefore, the values of x in the interval [0, 2π] that satisfy the equation 8sin(2x) = 4 are π/12 and 5π/12.

So, the comma-separated list of values is π/12, 5π/12.

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Answer:

I Believe it means that the interest of 7% of the original number goes up quarterly as in quarter of a year (3 months) If so your answer is 1640

Step-by-step explanation:

Hope this help

Brainiest??

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.

This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

Answer:

x=54/ 7 , 30/7

Step-by-step explanation:

x=54/ 7 , 30/7

Answer:

\(x=1\quad \mathrm{or}\quad \:x=11\)

Step-by-step explanation:

\(-7 - | x- 6| = - 12\\\\ \mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\-7-\left|x-6\right|+7=-12+7\\\\Simplify\\-\left|x-6\right|=-5\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\frac{-\left|x-6\right|}{-1}=\frac{-5}{-1}\\\\Simplify\\\left|x-6\right|=5\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\x-6=-5\quad \mathrm{or}\quad \:x-6=5\)

\(x-6=-5\quad :\quad x=1\\\\x-6=5\quad :\quad x=11\\\\\mathrm{Combine\:Solutions:}\\\\x=1\quad \mathrm{or}\quad \:x=11\)

The area of the graph of the function\(f(x, y) = (2/3)(x^{(3/2)} + y^{(3/2)})\) over the domain [0, 3] × [0, 1] is 3.

To find the area of the graph of the function\(f(x, y) = (2/3)(x^{(3/2)} + y^{(3/2)})\) over the domain [0, 3] × [0, 1], we can use a double integral.

The area can be calculated using the following double integral:

A = ∫∫R dA

Where R represents the region in the xy-plane defined by the domain [0, 3] × [0, 1].

Expanding the double integral, we have:

A = ∫[0,1]∫[0,3] dA

Now, let's compute the integral with respect to x first:

∫[0,3] dA = ∫[0,3] ∫[0,1] dx dy

Integrating with respect to x, we get:

∫[0,3] dx = [x] from 0 to 3 = 3

Now, substituting this back into the integral, we have:

A = 3∫[0,1] dy

Integrating with respect to y, we get:

A = 3[y] from 0 to 1 = 3(1 - 0) = 3

Therefore, the area of the graph of the function\(f(x, y) = (2/3)(x^{(3/2)}\)+ \(y^{(3/2)})\) over the domain [0, 3] × [0, 1] is 3.

In summary, the area is 3.

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There is 50% increase in the change in the volume of cylinder A to A

The formula for the volume of the cylinder is given as

         V = Πr^2h              (1)

  Where, r = radius of the cylinder

                h = height of the cylinder

We have been given the radius and height of cylinder A which are,

       r = 10 inches

       h = 5 inches

Now putting the required values in equation (1) we get

 V = Π(10)^2(5) cubic inches

 V = Π*100*5 cubic inches

V = 500Π cubic inches

We have also been given the volume of cylinder B = 750Π

Thus percentage change in volume of cylinder = (750Π - 500Π)/500Π * 100

                                                                                   = 50%

Hence there is 50% increase in the change of the volume from cylinder A to B

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The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.

After the Civil War, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. This crisis seemed to be causing the disappearance of traditional American values of democracy, equality, and opportunity, and class conflict was threatening to tear society apart.In their struggle against each other, capitalists and working classes attempted to enhance their own power and interests. Capitalists attempted to enhance their power by instituting new labor policies, cutting wages, and lowering working conditions.

The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements. They sought to provide relief for the urban poor and to reform politics by promoting women's suffrage and demanding the elimination of political corruption.In conclusion, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. Capitalists and working classes attempted to enhance their power and interests in their struggle with each other. The working class was unable to achieve much, despite valiant efforts. The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.

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Answer:

distance: 2

midpoint: -4,-3

If the mean cost of new books is the same as the median cost of new books, then the distribution of book costs is symmetrically distributed.

This means that the data is evenly distributed around the mean and median, and there are an equal number of values on both sides of the central point. In a symmetric distribution, the mean and median are the same, and the data is evenly spread out around them.

A negatively skewed distribution would have a longer tail on the left side, indicating that the majority of the values are higher. A positively skewed distribution would have a longer tail on the right side, indicating that the majority of the values are lower.

A symmetric distribution, on the other hand, has no long tail on either side, and the majority of the values cluster around the central point. Therefore, the distribution of book costs is symmetrically distributed.

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Step-by-step explanation:

Volume of a sphere is given by the formula

4/3 pi r^3       diameter = 6.3 cm  so radius, r = 3.15 cm

4/3 * pi * (3.15)^3 = 130.9 cm^3

Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan: