Which is the graph of the inequality: y is less than (1/2x - 2)^3

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Answer:

55 - 19.95 = 35.05

35.05 > 28.50

she can buy 3 shirts and one pair of pants

Step-by-step explanation:

The value of the expression given as √2(2+6)​ is 4

From the question, we have the following parameters that can be used in our computation:

√2(2+6)​

We start by evaluating the expression in the bracket

So, we have the following

√2(2+6)​ = √2(8)

Evaluate the products

This gives

√2(2+6)​ = √16

Lastly, we have

√2(2+6)​ = 4

Hence, the solution is 4

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Answer:

it's the third answer, no-m=2 and b=-2

Step-by-step explanation:

b means the y intercept, and the line touches the y axis at -2

m means the slop and the slope is 2/1, or just 2

The simplified expression for the perimeter of the rectangle is 10x-30

The perimeter of a shape is the addition of all the sides of the shape. If l is the length and w is the width, then the perimeter of a rectangle can be expressed as ;

p = 2(l+w)

The length is 3x-8 and the breadth is 2x-7

therefore the perimeter = 2( l+w)

= 2( 3x-8+2x-7)

= 2( 5x-15)

= 10x-30

therefore, the simplified expression for the perimeter of the rectangle is 10x-30

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Complete Question

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)

A 0.8531

B 0.1468

C 0.9332

D 0.0668

Answer:

The correct option is  A

Step-by-step explanation:

Generally from the z table  the area under the normal curve to the left corresponding to  1.05 is

     \(P(Z < 1.05) = 0.8531\)

\(x < \frac{20}{16} = \frac{5}{4} = 1.25 \\ x < 1.25\)

i hope it helps u :)

Answer:

y=5 cos πx

Explanation:

In the graph of the cosine function:

One full cycle goes from x = 0 to x = 2, this means that the period of the graph is 2.

For the general cosine function:

The period is determined using the formula:

Thus, to have a period of 2, the value of b must be π.

The options that satisfy these properties are:

Next, the low point on that cycle is (1, — 5).

The function of these two that contain (1, -5) is y=5 cos πx.

The function that could have this graph is y=5 cos πx.

Answer:

The inequality that represents this situation is 15x + 10y ≥ 1100, since Ezra needs to earn at least $1100 to buy the laptop.

To check if (60, 20) is a solution to this inequality, we need to substitute x = 60 and y = 20 into the inequality and see if it is true:

15(60) + 10(20) ≥ 1100

900 + 200 ≥ 1100

1100 ≥ 1100

Since 1100 ≥ 1100 is true, this means that (60, 20) is a solution to the inequality. This means that if Ezra works 60 hours mowing lawns and 20 hours walking dogs, he will earn enough money to buy the laptop.

The point (60, 20) represents the combination of hours worked for mowing lawns (x) and walking dogs (y) that will result in Ezra earning enough money to buy the laptop. The x and y values are the inputs or variables, while the inequality 15x + 10y ≥ 1100 is the constraint that must be satisfied. The solution (60, 20) is the output or result of the system of inequalities, and represents the combination of hours worked that will satisfy the constraint.

Answer:

The Top 5 Sources of Data on your Website

Reports: Conversion funnel and pathing. Study these reports.  

Internal search queries. This seems like a no-brainer, but some brands forget to assess what people are searching for on their website.

Store locators.

Reviews & Customer Service inquiries.

Domain reports

Hope its what u r looking forward to..!

The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.

The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.

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The correct answer choice is the last one, your total utility is 61 utils, and the marginal utility of the first slice is 8 utils (22 - 14).

What is marginal utility?

Marginal utility refers to the additional satisfaction or benefit that a consumer derives from consuming one more unit of a good or service. It is the change in total utility resulting from a change in the quantity consumed. It is a way to measure the additional benefit a consumer receives from consuming one more unit of a good or service.

your total utility is 61 utils, and the marginal utility of the first slice is 8 utils (22 - 14). The law of diminishing marginal utility states that as the consumption of a good or service increases, the additional satisfaction or utility from consuming one more unit of the good or service will decline. In this example, as you consume more slices of pizza, the marginal utility of each slice decreases (8 utils for the first slice, 3 utils for the third slice). This is consistent with the law of diminishing marginal utility. Therefore, choice A is incorrect.

Hence, The correct answer choice is the last one, your total utility is 61 utils, and the marginal utility of the first slice is 8 utils (22 - 14).

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Answer: A horseshoe weighs 8.2 ounces The nails in the horseshoe weigh 0.12 ounces.

Step-by-step explanation: B should be your answer have a great day :)

Answer:

B

Step-by-step explanation:

i did 8.2 divided by 20 percent ( .2)

then subtracted

equal 6.56

Answer:

1/3(b-21)

Step-by-step explanation:

1/3xb= 1/3b and 1/3x-21= -21/3=-7

Answer:

- 139/-3

Step-by-step explanation:

i took the test

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Answer:

3>y-2

Step-by-step explanation:

your welcome i think

The graph that represents the solution to the linear inequality −3x − 3y ≥ 6 is given as follows:

The graph shows a solid line, which passes through a point (-2,0) and a point (0,-2), with shading below the line.

The graph is presented at the end of the answer.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The inequality for this problem is given as follows:

−3x − 3y ≥ 6

In slope-intercept format, we have that:

3y ≤ -3x + 6

y ≤ -x - 2.

Hence the intercepts are:

Due to the equal sign, the graph is a solid line, and the shading is below the line, as the inequality is the amounts lower than the line.

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Answer:

8 ft of yarn

Step-by-step explanation:

146/18= 8.111

Round that number down to 8 to make all students get equal amounts of yarn

Answer:

8.11 ft

Step-by-step explanation:

146 ft divided into 18 prices

146 ÷ 18 = 8.11 ft for each student.

Answer:

6

Step-by-step explanation:

4 x 6 = 24 L

Answer:

A number that is 10x greater than 0.03 is 0.3.

Step-by-step explanation:

Answer:

The answer is c have a nice day

The ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle.

In other terms, in a right triangle, the cosine of an angle equals the neighboring side divided by the hypotenuse: In addition, cos A = sin B = b/c. As a result, the complete forms of sin, cos, sec, cosec, tan, and are sine, cosine, secant, cosecant, tangent, and tangent, respectively. Make corrections. 11. Solve.

The horizontal component is calculated by multiplying F by the cosine of the angle formed by F and d. In this sense, the cosine theta in the work equation is related to the cause factor; it determines the fraction of the force that produces a displacement.

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Answer:

\( \sqrt{ {( - 4 - 2)}^{2} + {(1 - 0)}^{2} } = \sqrt{ {( - 6)}^{2} + {1}^{2} } = \sqrt{36 + 1} = \sqrt{37} \)

The number 37 goes beneath the radical symbol.

Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

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Answer:

9

Step-by-step explanation:

so basically, the paragraph states that he has 63 apples and wants to divide them between 7 kids

This shows a clear example of simple division

In this case...

63 divided by 7 equals 9

I hope this helps!!

Answer: He would give 9 apples to each kid.

Step-by-step explanation:

We are given that Samuel has 63 apples.

We are also given that he wants to divide them between 7 kids.

To solve this you would create a division problem:

63 ÷ 7 = ?

You can solve this by completing long division or using a calculator.

You find that 7 * 9 = 63

63 ÷ 7 = 9

You can also draw 63 apples (or circles) and divide them into 7 groups. The result will be that each group will have 9 apples.

Answer: 678

Step-by-step explanation: ii