Let a, b, and c be real numbers where ab*C0. Which of the following functions could represent the graph below?
AN

Answer:

The function is  [tex]P(x) = \frac{1}{2} e^{-x^2} +0.016[/tex]

Step-by-step explanation:

From the question we are told that

    The rate of growth  is  [tex]P'(x) = xe^{x} - x^2[/tex]

     The total profit is [tex]P(2) =[/tex]$25,000

      The time taken to make the profit is [tex]x = 2 \ years[/tex]

From the question

     [tex]P'(x) = xe^{-x^2}[/tex]  is the rate of growth

  Now here x represent the time taken

Now the total profit is mathematically represented as

       [tex]P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,[/tex]

So using substitution method

   We have that

                      [tex]u = - x^2[/tex]

                      [tex]du = 2xdx[/tex]

  So  

        [tex]p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du[/tex]

       [tex]p(x) = {\frac{1}{2} [ e^{-u}} +c ][/tex]

       [tex]p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c[/tex]      recall  [tex]u = - x^2[/tex]   and  let  [tex]\frac{1}{2} c = Z[/tex]

At  x =  2 years  

     [tex]P(x) =[/tex]$25,000

So

       Since the profit rate is in million

    [tex]P(x) =[/tex]$25,000 = [tex]\frac{25000}{1000000} =[/tex]$0.025 millon dollars

So  

       [tex]0.025 = {\frac{1}{2} e^{-2^2}} + Z[/tex]  

=>    [tex]Z = 0.025 - {\frac{1}{2} e^{-2^2}}[/tex]  

       [tex]Z = 0.016[/tex]  

So the profit function becomes

         [tex]P(x) = \frac{1}{2} e^{-x^2} +0.016[/tex]

Answer:

35.7±0.05 kg

Step-by-step explanation:

Including the uncertainty, the mass of dog is -

35.7 + 0.1 kg.

We have Mason's Dog.

We have to determine how should Mason express his dog's weight, including the uncertainty.

The uncertainty is the experimenter's best estimate of how far an experimental quantity might be from the true value.

According to the question -

The scale has increments of 0.1 kilograms (kg).

Mason's actual weight - 35.7 kg

Therefore, including the uncertainty, the mass of dog is -

35.7 + 0.1 kg

Hence,  including the uncertainty, the mass of dog is -

35.7 + 0.1 kg

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Answer:

x > 15

Step-by-step explanation:

simplify both sides of the inequality

2x + 9 > 39

subtract 9 from both sides

2x + 9 - 9 > 39 -9

2x > 30

divide both sides by 2

2x/2 > 30/2

x > 15

From what I see in the problem, the expression is

[tex](\frac{3^a^2}{3a^-1} )^k[/tex]

To solve, plug in a and k.

[tex](\frac{3^(5)^2}{3*5^-1} )^-2[/tex]

3*5^2=75

(3*5)^-1 = 1/15

[tex]75 / \frac{1}{15} = 5[/tex]

5^-2 = 1/25

Answer:

D

Step-by-step explanation:

Like I said last time, since the graph is moved up by 3 units, the answer is choice D. Hope this helps!

So the value of X is 2.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]x = 2[/tex]

First answer is correct

Step-by-step explanation:

[tex]9 = 1 + 8x - 8 \\ 9 - 1 + 8 = 8x \\ 16 = 8x \\ \frac{16}{8} = \frac{8x}{8} \\ x = 2[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

268.08 inches3

Step-by-step explanation:

the volume rounded to the nearest tenth is 268.08 in³.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

given the radius of a basketball is 4 inches.

Since basketball has the shape of a sphere,

thus from the general formula of the volume of the Sphere:

Volume = 4/3 πr³

Where r is the radius

in our case

r = 4

Thus volume = 4/3 π 4³

The volume of basketball = 268.08 in³

therefore, the volume of the given basketball is 268.08 in³.

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Answer:

  6120 cm³

Step-by-step explanation:

You want the volume of a rectangular prism 17 cm by 20 cm by 18 cm.

The volume of a rectangular prism is given by the formula ...

  V = LWH

Using the given values for length, width, and height, we find the volume to be ...

  V = (17 cm)(18 cm)(20 cm) = 6120 cm³

The volume of the prism is 6120 cubic centimeters.

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Answer:

X = unknown

The highest degree of x is 2 .

Step-by-step explanation:

First of all x is the unknown variable to be determined by solving quadratically

Quadratic equation was chooses because of the degree of x.

The highest degree of x is 2 .

That's the the reason why the value of x will always be double.

If solving linear equation that has degree one, the value of x is one

If solving polynomial, the value of x will be 3 above.

Answer:

Step-by-step explanation:

A suitable table or calculator is needed.

One standard deviation from the mean includes 68.27% of the total, so the number of bottles in the range 20 ± 0.16 ounces will be ...

  0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16

__

The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...

  0.66799·26,000 = 1737 . . . . . below 19.76

_____

Comment on the first number

The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.

Answer:

  15)  A) {3i√2, -3i√2}

  16)  C) {5i√2/3, -5i√2/3}

Step-by-step explanation:

15)

  [tex]6r^2=-108\\\\r^2=\dfrac{-108}{6}=-18\\\\r=\pm\sqrt{-18}\\\\\boxed{r=\pm3i\sqrt{2}}[/tex]

__

16)

  [tex]9p^2-8=-58\\\\9p^2=-50\qquad\text{add 8}\\\\p^2=-\dfrac{50}{9}\qquad\text{divide by 9}\\\\p=\pm\sqrt{-\dfrac{50}{9}}\qquad\text{take the square root}\\\\\boxed{p=\pm\dfrac{5\sqrt{2}}{3}}[/tex]

Answer:

When you do adding and subtracting with decimals just line up the decimal points and do the math regularly

0.72

-0.7

_____

0.02 meters further so Hector's car traveled farther

0.6

+0.25

_____

0.85 swam in total

Hope this helps

Step-by-step explanation:

The equation of a circle is written as (x – h)^2 + (y – k)^2 = r^2

h and k are the center point and r is the radius.

In the given equation h = -6 and k = 7 and r would be the square root of 81, which is 9.

Center (-6,7)

Radius = 9

The required center is [tex](-6,7)[/tex] and the radius is 9 units.

Given equation is,

[tex](x + 6)^2 + (y-7)^2 = 81[/tex]....(1)

Equation of the circle: The general equation of the circle with the center (a,b) and the radius r is represented by,

[tex](x-a)^2+(y-b)^2=r^2[/tex]...(2)

We can write the given equation as,

[tex](x + 6)^2 + (y-7)^2 = (9)^2[/tex]

Comparing equations (1) and (2) we get,

The Centre of the given circle is [tex](-6,7)[/tex]

The radius of the given circle is 9 units.

Learn more about the equation of the circle:

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Answer:

y-4 = 8/7(x-4)

Step-by-step explanation:

formula is y-y=m(x-x) just substitute the numbers in

Answer:

[tex]9<99<999[/tex]

[tex]999>99>9[/tex]

Step-by-step explanation:

We have that:

If a<b and b<c, then a<b<c.

Combining the two inequalities, we obtain: [tex]9<99<999[/tex]

In reverse, we can also write this as:

[tex]999>99>9[/tex]

Answer:

The 99% confidence interval for this sample mean is between 2.895 ppb and 2.903 ppb.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.7074

The margin of error is:

M = T*s = 3.7074*0.001 = 0.004

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.899 - 0.004 = 2.895 ppb.

The upper end of the interval is the sample mean added to M. So it is 2.899 + 0.004 = 2.903 ppb.

The 99% confidence interval for this sample mean is between 2.895 ppb and 2.903 ppb.

Explanation:

The domain is the horizontal extent of the graph of the function. It is the set of all values of the independent variable for which the function is defined.

In a table or list of (x, y) or (x, f(x)) values the domain is the list of x-values.

On a graph, the domain is the horizontal extent of the graph, excluding any "holes" or vertical asymptotes. (The function is "undefined" at those places.)

__

For a polynomial, the domain is generally "all real numbers."

For rational functions, the domain always excludes any x-values that make any denominator be zero.

For functions such as logarithms or roots, the domain is the set of values for which the function is defined. Even roots (square root, 4th root, ...) are only defined for non-negative numbers. Logarithms are only defined for positive numbers.

__

In some problems, a model is often used that is defined for all values of the independent variable. For example, a height function may be modeled using a quadratic: h(t) = -4.9t^2 +30t +6. This is defined for all values of t, but the "practical domain" is the set of values of t ≥ 0 and before h(t) = 0. That is, we don't care about negative time or negative height.

Answer:

D. x = -1.

Step-by-step explanation:

I have attached an explanation to your problem. Please see the attachment  below.

Answer:

x= -1

Step-by-step explanation:

it is always the x value of where the vertex is!

I want brainliest plz

Answer:

It is b.

Step-by-step explanation:

0.7 x -3 = -2.1 and -2.1 - 1.4=  -3.5

please branliest!!!!

Answer:

D

Step-by-step explanation:

No because the product of their slopes is not -1

In the attached file

Answer:

2310m^3

Step-by-step explanation:

base area which is the circle = πr^2

But diameter, d = 14, r = 14/2 = 7

area = π × (7)^2 = 22/7 × 49 = 22 × 7 = 154

Volume = base area × height

= 154 × 15 = 2310

Answer:

2309.1

Step-by-step explanation:

Deltamath

Answer:

1. 10% of the bill is $138. The final bill once 10% is taken off is $1242.

2. 20% of the total is $34.10. The final total once the 20% is taken off is $136.4

Step-by-step explanation:

1. A crash repair bill comes to $1380.00. How much is 10% of the bill? What is the final bill once 10% is taken off?

To find how much is 10% of the bill, we multiply the bill by 0.1

0.1*1380 = 138

10% of the bill is $138.

To find the final bill, we subtract the initial bill by 10%.

1380 - 138 = 1242

The final bill once 10% is taken off is $1242.

2. A person buys a new fan belt, a new alternator, and a new water pump for their car. The total comes to $170.50. What is 20% of the total? How much is the final total once the 20% is taken off?

Same logic as above.

0.2*170.50 = 34.1

20% of the total is $34.10.

170.50 - 34.1 = 136.4

The final total once the 20% is taken off is $136.4

Answer:

[tex]\mu_{\hat p}= 0.06[/tex]

[tex] \sigma_{\hat p}= \sqrt{\frac{0.06*(1-0.06)}{280}}= 0.0142[/tex]

And we want to find this probability:

[tex] p(\hat p <0.09)[/tex]

[tex] z = \frac{p \mu_{\hat p}}{\sigma_{\hat p}}[/tex]

[tex] z = \frac{0.09-0.06}{0.0142}= 2.114[/tex]

And we can find this probability:

[tex] P(z<2.114)[/tex]

And using the normal table or excel we got:

[tex] P(z<2.114)= 0.9827[/tex]

Step-by-step explanation:

For this case we have the following info given:

[tex] n = 280[/tex] represent the sample size

[tex] p =0.06[/tex] represent the true proportion

The sample proportion can be approximated with this distribution:

[tex] \hat p \sim N (p ,\sqrt{\frac{p(1-p)}{n}})[/tex]

The mean is given by:

[tex]\mu_{\hat p}= 0.06[/tex]

And the deviation is given by:

[tex] \sigma_{\hat p}= \sqrt{\frac{0.06*(1-0.06)}{280}}= 0.0142[/tex]

And we want to find this probability:

[tex] p(\hat p <0.09)[/tex]

And we can use the z score formula given by:

[tex] z = \frac{p \mu_{\hat p}}{\sigma_{\hat p}}[/tex]

And replacing we got:

[tex] z = \frac{0.09-0.06}{0.0142}= 2.114[/tex]

And we can find this probability:

[tex] P(z<2.114)[/tex]

And using the normal table or excel we got:

[tex] P(z<2.114)= 0.9827[/tex]

Answer:

Alonzo ate 1/2 more than Mitra.

Step-by-step explanation:

In this question, you are supposed to find how much more Alonzo ate. We solve that like this:

Steps:

   - Set up the Equation:

       - 1/4 + ? = 3/4

       - The question mark represents the answer.

   - Inverse Operations:

       - Change 1/4 + ? = 3/4 to 3/4 - 1/4 = ?

       - Since Subtraction is the opposite of Addition, we flip the equation.

   - Solve:

       - [tex]\frac{3}4} -\frac{1}{4} =\frac{2}{4}[/tex]

       - Then Simplify:

       - [tex]\frac{2}{4} =\frac{1}{2}[/tex]

So, Alonzo ate 1/2 more than Mitra, or C.

Hope this helps! Good luck!

Answer:

$237.92

Step-by-step explanation:

0.85 x 279.90 = 237.915 = ~237.92

Answer:

390 m^2

Step-by-step explanation:

52(7.5)=390

Answer:

  54 yd²

Step-by-step explanation:

The surface area of the prism is the sum of the areas of its faces. Opposite faces have the same area, so we can write the formula as ...

  SA = 2(LW +WH +LH) = 2(LW +H(L +W))

Filling in the numbers, we have ...

  SA = 2(6·3 +1(6 +3)) = 2(18 +9) = 54 . . . . square yards

The area is 54 square yards.

Answer:

Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Step-by-step explanation:

Answer:

Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Step-by-step explanation:

The null hypothesis was the applicants last year​ score, on​ average was 52.5 points.

Conclusion: She fails to reject the null hypothesis that the mean is 52.5 points.

At the end of the​ year, they find that the candidates this year had a mean of 55.3 points.

A type II error occurs when the researcher fails to reject the null hypothesis when it is false. Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Answer:

  36,2,13,21

Step-by-step explanation:

At its simplest, it is a repeating sequence of 4 numbers:

  36,2,13,21

So, those are the four missing numbers.