p(s) = s³ + 10s
f(s) = 6s - 3
Find p(2)-f(2)

Answer:

For most people, health club membership expenses are considered discretionary.

Step-by-step explanation:

Answer: C, D, and E

Step-by-step explanation:

5/2 * 4/4 = 20/8

5/2 * 2/2 = 10/4

5/2 * 6/6 = 30/12

Answer:

C,D,E

Step-by-step explanation:

Hope this helps

9514 1404 393

Answer:

  101i -11j +43k

Step-by-step explanation:

A suitable calculator can find the cross product for you, or you can evaluate the determinant ...

  \(\left|\begin{array}{ccc}i&j&k\\3&8&-5\\-2&9&7\end{array}\right|=i(8\cdot7-9(-5))-j(3\cdot7-(-2)(-5))+k(3\cdot9-(-2)(8))\\\\=\boxed{101i-11j+43k}\)

Answer:

\(15.90cm\)

hope this helps

brainliest appreciated!

good luck! have a nice day!

Answer:

Line ZL and line LZ.

Step-by-step explanation:

Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.

Brainliest please.

Answer:

Step-by-step explanation

Oh

Answer:

a) 4^6

b) 5^5

c)3^9

d)2^-2

Step-by-step explanation:

When raising a number to a power and then to another power, you can multiply the exponents.

When multiplying numbers with the same base to different exponents, you can add the exponents.

Answer:

Step-by-step explanation

Did you mean "How long will it take Johnny to TYPE a 2100 word essay?

If so, do the following:

Let x = the number of minutes to type a 2100 word essay

600/8 = 2100/x

600x = 16,800

x = 28 minutes

Answer:

6952.75

Step-by-step explanation:

278.11 x 25 =

6952.75

Hope that helps!

Answer:

278.11 x 25 = 6,952.75

Step-by-step explanation:

Multiply

1. integrate 75x ^ 4 * cos(5x ^ 5 - 3) dx

Integral by substitution

2. integrate 3cos u du

Isolate the coefficient

3 * integrate cos u du

Evaluate the integral

4. 3sin u

Simplify and add the C

= 3sin(5x ^ 5 - 3) + C

Answer

3sin(5x ^ 5 - 3) + C

hope this will help u

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Answer:

\(3sin(5x^{5} -3) + C\)

Step-by-step explanation:

\(\frac{d}{dx}[sin (ax^{n}+b)] = [anx^{n-1}cos(ax^{n} + b)]\)

a and b are constants

∴\(\frac{d}{dy} sin(5x^{5} -3) = [(5)(5)x^{5-1}-0] cos(5x^{5} -3)\)

                         = \(25x^{4} cos(5x^{5} -3)\)

\(\int\ {75x^{4}cos(5x^{5} -3)} \, dx\)

Rewriting the above by applying algebraic manipulation:

\(\int\ (3)(25){x^{4}cos(5x^{4} -3)} \, dx\)

=\(3[\int\ 25{x^{4}cos(5x^{5} -3)} \, dx]\)

= \(3sin(5x^{5} - 3) + C\)

C is a constant, which is added to the above integration because there are no limits set. In other words, this is an indefinite integral.

Answer: 45

Step-by-step explanation:

\(f(-5)=2(-5)^{2} -5\)

\(f(-5)= 2(25) -5\)

\(f(-5) = 50-5\)

\(f(-5) = 45\)

Answer:

4

Step-by-step explanation:

I took the test and I got it right

Probability of Harper hitting a bullseye on any given toss is 1/4 then we would expect Harper to get 4 bullseyes during her next 16 tosses.

The probability of Harper hitting a bullseye on any given toss, based on the data provided, is:

P(bullseye) = 3/12 = 1/4

To find how many bullseyes we would expect Harper to get during her next 16 tosses, we can use the expected value formula:

Expected value = Number of trials x Probability of success

In this case, the number of trials is 16 and the probability of success (hitting a bullseye) is 1/4.

Expected value = 16 x 1/4 = 4

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer:

y < 4x + 3

Step-by-step explanation:

First find the equation represented by the graph...

using slope-intercept (y = mx + b where m = the slope and b = the y- intercept)

slope is 4

y- intercept is 3

Once you have the equation 4x + 3, determine whether y is greater than or equal to the point plotted.

I can explain more if you need but trust me the answer is y < 4x + 3

The inequality represented by the graph is y <1/4x + 3.

From the graph, the line of inequality cut the y axis at 3.

So, the y intercept is (0, 3).

and, the slope of the inequality is

= 1/4

Using slope-intercept form

y= mx+ b

y= 1/4x + 3

Since the inequality have the shaded area below the line to represent all the points that satisfy the inequality.

and, the inequality can be written as

y < 1/4x + 3

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Answer:

63

Step-by-step explanation:

V=length x width x height.

V= 7.5*2*4.2

V=63

Write and simplify an expression for the volume of a rectangular prism with a length of 7.5 ft, width 2 ft, and height 4.2 ft. What is the volume if the width is 2 ft.

Substituting the values given in the formula, We get,

⇒ Volume of rectangular prism = ( 7.5 × 2 × 4.2 ) ft³

⇒ Volume of rectangular prism = 63 ft³

Volume of the rectangular prism is 63 ft³

Please scroll from right to left to see the whole solution.

Answer:

Step-by-step explanation:

Given

Substituting y:

Finding y:

Answer: (6, 1)

Correct choice is A.

Answer:

A

Step-by-step explanation:

Answer:

I belive the correct answers are 8 and 12

Step-by-step explanation:

The equation of a parabola that has intercepts of x=-2 and x=6 and passes through point (8,6) is f(x) = 3/10(x+2)(x-6)

The standard equation of a parabola is in the form f(x) = (x-a)(x-b)

where a and b are the intercepts of the graph. Given the parabola that has intercepts of x=-2 and x=6, the resulting equation will be:

f(x) = a(x-(-2))(x-6)

f(x) = a(x+2)(x-6)

If the parabola passes through (8, 6), then;

6 = a(8+2)(8-6)

6 = a(20)

a = 6/20

a = 3/10

Substitute

f(x) = 3/10(x+2)(x-6)

Hence the equation of a parabola that has intercepts of x=-2 and x=6 and passes through point (8,6) is f(x) = 3/10(x+2)(x-6)

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Answer:is the secend one

Step-by-step explanation:this is easy you just have to find the points

Answer:

(2,5) (6,9) (7,2)

Step-by-step explanation:

the first number is the x and the second number is the y

Answer:

False

Please make this brianliest so others can learn from this answer

Happy to help :)

Step-by-step explanation:

Answer:

It is undefined.

Step-by-step explanation:

Let's take a look at the first equation- if we simplify and move the terms, it becomes sqrt of 6 = 0, which results in an undefined value of x. The second equation works with x=0 but not the first so the value of x is undefined.

The function g(x) = x² + 4x has a: A. minimum.

The minimum value occur at x = -2.

The function's minimum value is -4.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function g(x) = x² + 4x, we have:

a = 1, b = 4, and c = 0

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(4)/2(1)

Axis of symmetry, Xmax = -2

Next, we would determine vertex as follows;

g(x) = x² + 4x

g(-2) = -(-2)² + 4(-2)

g(-2) = -4.

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the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Answer:

D) \(-\frac{3}{5}\)

Step-by-step explanation:

Given

\(tan\theta=-2,\:\frac{\pi}{2}<\theta<\pi\\cos(2\theta)=?\)

Use identities

\(cos(2\theta)=\frac{1-tan^2\theta}{1+tan^2\theta}\\\\cos(2\theta)=\frac{1-(-2)^2}{1+(-2)^2}\\\\cos(2\theta)=\frac{1-4}{1+4}\\ \\cos(2\theta)=-\frac{3}{5}\)

Answer:

not: f(x) domain: x ≤ -2

f^-1(x) range: y ≤ -2

Step-by-step explanation:

The possible domain restriction for f(x) and its corresponding impact on f'(x) is f(x) domain: x < 1, f'(x) domain: x < 1.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The graph of function

Now,

Looking at the graph, we can see that the function and its inverse are reflections of each other across the line y = x. This means that the domain of the inverse function corresponds to the range of the original function, and vice versa.

From the graph, we can see that the original function f(x) has a vertical asymptote at x = 1. This means that the function is undefined at x = 1.

Therefore, a possible domain restriction for f(x) is x < 1, which would exclude x = 1 from the domain. The corresponding impact on f'(x) would be that f'(x) would also be undefined at x = 1.

So, the answer that pairs a possible domain restriction for f(x) and its corresponding impact on f'(x) is:

f(x) domain: x < 1

f'(x) domain: x < 1

This is because the domain of f(x) is restricted to exclude x = 1, and the corresponding impact on f'(x) is that it is also undefined at x = 1.

Therefore, by the graphed function the answer will be f(x) domain: x < 1, f'(x) domain: x < 1.

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The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

3 pints or 1.5 quarts

Step-by-step explanation:

1 quart has 2 pints, so each pitcher holds 4 pints -- 12 pints all together. So 15-12 = 3 pints that will not fit into the pitchers. 3 pints is equal to 1.5 quarts!

Answer:

The answer is

A. Median, because the data are skewed and there is an outlier

Step-by-step explanation:

Answer:

The answer is median, because the data is skewed and there is an outlier.

Step-by-step explanation:

The answer to the given question of chi-square fit test is option A.  There is sufficient evidence to conclude that the distribution of attempts has changed.

Based on the given information, the chi-square goodness-of-fit test was used to compare the observed distribution of shot types in the current season to the expected distribution based on the previous year's distribution. The calculated chi-square test statistic is X² = 10.79 with 2 degrees of freedom, and the p-value is 0.005. At the significance level of a=0.01, we reject the null hypothesis if the p-value is less than 0.01. Since the p-value of 0.005 is less than 0.01, we can reject the null hypothesis, which states that the distribution of shot types in the current season is the same as the previous year's distribution. Therefore, the correct answer is A. There is sufficient evidence to conclude that the distribution of attempts has changed. The coach can conclude that there is a significant difference between the observed and expected shot type distribution in the current season compared to the previous year's distribution.

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Answer:

4/64

Step-by-step explanation:

The spinner is independent (the total won't be effected)

we know there is 2 whites with 8 coloured option.

we want the probability of getting two whites.

2/8 x 2/8 = 4/64

there is 3 ways to work out probability, fraction, decimal and percentage (i'd personally say fraction is the most easiest)