Find the average rate of change of each function on the interval specified. Put your answer in simplified factored form. You may want to do your work on paper and submit an image of your written work rather than try to type it all out. To earn full credit please show all steps and calculations.j(x)= 3x^3 on the interval [1,1+h]

We have the following:

Now, we solve for the value p, that is:

From this, we have that the probability would be of 0.7%.

9514 1404 393

Answer:

Step-by-step explanation:

Your have correctly identified the points of intersection, but you need to follow directions in your entry of those answers. "POLE" goes in the first answer slot. You may also be expected to rationalize the denominator, or provide the r value as a single term.

The points of intersection are ...

  POLE

  ((2+√2)/2, 3π/4)

  ((2-√2)/2, 7π/4)

Answer: 243

Step-by-step explanation:

It’s going up by the square roots of 3 so therefore the fourth term is 3 to the fourth power which is 243.

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Answer:

Step-by-step explanation:

18900 divided by 10 = 1890

1890 divided by 2 is 945

945 is 5 percent of 18900

18900 + 945 = 17955

Answer = 19845

Answer:

y < 3

Step-by-step explanation:

2y + 1 < 7

~Subtract 1 to both sides

2y < 6

~Divide 2 to both sides

y < 3

Best of Luck!

Answer:

3/4 % of year is 8 , 2 feet 1 inch

Step-by-step explanation:

For no solution the line should be parallel values of m and b is 4 and 5 respectively

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + b

definition of variable to suit the problem

y = output variable

m = slope

x = input variable

b = y intercept

for no solution the lines will be parallel that is to say the slope will be equal and b can be any number say  therefore m = 4 and b =  will result to no solution

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The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..

Based on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.

The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.

In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.

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\(\dfrac{\sqrt{25}}{\sqrt{36}} = \sqrt{\dfrac{25}{36}}\)

Answer:

Is it option D?

Step-by-step explanation:

Please don't hesitate to provide me the correct answer of I'm wrong.

A cheerful teen willing to help,

stay positively radiant and safe!

A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.

By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.

Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.

Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.

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Answer:

x=50

Step-by-step explanation:

x+37=3x-63

Subtract x from each side

x-x+37=3x-x-63

37 = 2x-63

Add 63 to each side

37+63 = 2x-63+63

100 =2x

Divide by 2

100/2 =2x/2

50=x

Answer:

Step-by-step explanation:

x - 37 = 3x - 63

x - x + 37 = 3x - x 63

37 = 2x - 63

2x = 63 + 37

2x = 100

x = 100 : 2

x = 50

Answer:

(

4

a

+

4

b

+

3

)

(

2

a

+

2

b

−

3

)

Step-by-step explanation:

Answer:

11.

Step-by-step explanation:

As the first decimal place is 5 we round up the whole number.

Answer:

11

Step-by-step explanation:

See image below:)

Let the two numbers be 'x' and 'y'.

As given in the question,

\(y = 2x\)

Now,

\(4 + x = y - 6\)

\(4 + x = 2x - 6\)

\(4 + 6 = 2x - x\)

\(10 = x\)

Therefore the two numbers are:

\(x = 10\)

\(y = 2x = 20\)

Answer:

474$

Step-by-step explanation:

Answer:

P = 48 in²

Step-by-step explanation:

Given: A rectangle; Width = 9 inches, length = 15 inches, enlarged by a scale factor of \(\frac{3}{2}\)

To find: Perimeter of the dilated rectangle

Formula: \(P=2(l+w)\)

Solution: After a dilation with a scale factor of one-half, then the lengths on the image would be one-half , one-half , and one-half . To find the perimeter of an enlarged figure, you can multiply the original figure's perimeter by the scale factor.

\(P=2(l+w)=2\) × \((15+9)=48in\)

Therefore, the perimeter of the detailed rectangle that was enlarged is 48 in²

Answer:

it's 9in

Step-by-step explanation: i got it right on my test

Answer:

It is 168 miles

Step-by-step explanation:

720 divided by 60 is 12. 12 times 14 is 168

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.

An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.

To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.

The tangent of an angle is the ratio of the opposite side to the adjacent side,

So cot B = adjacent side / opposite side.

By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation

B = arctan(cot B).

Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,

B = arctan(cot B) = 56.31° (rounded to two decimal places)

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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".

Answer:

#23 is x+27°=27

2x-17°=-17

#24 is x+23°=23

x+54°=54

#25 is x+79°=79

2x-37°=-37

#26 is 3x+71°=71

5x+37°=37

Step-by-step explanation:

how you ask because when it is like x+55° and 6x+88° that means its going to be a positive number.

but when it is like 5x-78° that means its going to be a negative number.

remember this +=positive and -=negative

hope this helped you out!

Answer: it is equal to 0.76

Answer: 0.76

Step-by-step explanation: 38 ÷ 50 = 0.76

Answer:

No

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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Answer:

option 2, 3, and 5

Step-by-step explanation:

Any equation that has an exponent would not be linear

Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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