What is the slope of a line perpendicular to the line whose equation is
2x+2y = 24. Fully simplify your answer.

Answer:

A is 1

B is 5

Step-by-step explanation:

0 times 2 is 0 plus 1 is 1 that gives the answer to A

2 times 2 is 4 plus 1 is 5 which gives you B

Answer:

B and C

Step-by-step explanation:

It is going down

9514 1404 393

Answer:

  C) 18  eating gummy bears

Step-by-step explanation:

The angles indicated with x-expressions are supplementary, so we have ...

  (5x) +(7x+24) = 180

  12x +24 = 180 . . . collect terms

  x +2 = 15 . . . . . . divide by 12

  x = 13 . . . . . . . . . subtract 2

Then the obtuse angle is ...

  7x +24 = 7(13) +24 = 115

__

The angle marked with a y-expression is a corresponding angle to this, so has the same measure.

  6y +7 = 115

  6y = 108 . . . . subtract 7; next divide by 6

  y = 18

Answer:

y=18

Step-by-step explanation:

5x+7x+24=180

12x+24=180

12x=156

x=13



6y+7+65=180

6y+72=180

6y=108

y=

The model that can be used to find the number of toys is  1.25* (2.5) ⁿ.

An increment of 150% means an increment of 1.5 times of initial value.

Number of toys initially = 1,250,000 or 1.25 millions

Number of toys after a year = 1.25 + 1.25*1.5 = 1.25*(2.5)¹

Number of toys after two year =1.25 * 2.5+ 1.25*2.5*1.5 = 1.25*(2.5)²

Number of toys after three year = 1.25* (2.5)³

So, Number of toys after n year = 1.25* (2.5) ⁿ

Therefore, the model that can be used to find the number of toys is  1.25* (2.5) ⁿ.

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Answer:

c

Step-by-step explanation:

Answer:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

y = 4

Answer: Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Step-by-step explanation Answer:

A -1253

-489-764 = -1253

Answer:

13

Step-by-step explanation:

Make that line into a right angle triangle. Then you will get the dimensions 5 units and 12 units.

Use Pythagoras: 5^2 + 12^2 = 13^2

Answer:

13

Step-by-step explanation:

I am very sure this is 13, because you can use the pythagorean theorem, and plug it in, then u get 13.

Answer:

\(y^8x^\frac{1}{8}\)

Step-by-step explanation:

Simplify using exponent rule with same exponent

\((ab)^n=a^n*b^n\):

\((x^\frac{1}{4} )^\frac{1}{2} (y^{16} )^\frac{1}{2}\)

Simplify using exponent power rule \((a^n)^m=a^{nm}\):

\(x^\frac{1}{8} y^8\)

Simplify using \(a^\frac{n}{m} =\sqrt[m]{a^n}\):

\(\sqrt[8]{x} *y^8\)

Rewrite the expression:

\(y^8\sqrt[8]{x}\)

Convert to exponential form:
\(y^8x\frac{1}{8}\)

Answer:

\(y^8x\frac{1}{8}\)

Answer:

Interest Earned: $360

Total value of the Account: $1260

Step-by-step explanation:

To find the interest earned, we can use the formula:

Interest = Principal x Rate x Time

where the principal is the amount deposited, the rate is the interest rate expressed as a decimal, and the time is the number of years the money is left in the account.

In this case, the principal is $900, the rate is 0.04 (since 4% is equivalent to 0.04 as a decimal), and the time is 25 years. Plugging in these values, we get:

Interest = $900 x 0.04 x 25 = $900 x 1 = $360

So the interest earned over 25 years is $360.

To find the total value of the account, we can add the interest earned to the original deposit:

Total Value = Principal + Interest

Total Value = $900 + $360 = $1260

So the total value of the account after 25 years is $1260.

Hope this helps!

Answer:

112

Step-by-step explanation:

add both bases the multiply by the height

Answer:

112

13 + 15

= 28 ÷ 2

= 14 × 8

= 112

Answer: 3/7

Here are two methods to solve this problem.

1. Count on, since you have the same denominator.

  1/7, 2/7, 3/7.

2. Add, but not counting on.

  1 + 2 = 3

  3 = 3/7.

Hope it helps!

Answer:

Part A: 39, 47, 55, 65, 75.

Part B: 2nd option.

Step-by-step explanation:

Answer:

24 bandages are in each box.

Step-by-step explanation:

Hope this will help

The variance of the given sample is 27.2 (to 1 decimal place), and the standard deviation is approximately 5.21 (to 2 decimal places).

To compute the variance and standard deviation for the given sample, follow these steps:

Calculate the mean (average) of the sample:

  Mean = (10 + 17 + 9 + 5 + 19) / 5 = 60 / 5 = 12.

Subtract the mean from each data value and square the result:

\((10 - 12)^2 = 4,\\(17 - 12)^2 = 25,\\(9 - 12)^2 = 9,\\(5 - 12)^2 = 49,\\(19 - 12)^2 = 49.\)

Calculate the variance by finding the average of the squared differences:

  Variance = (4 + 25 + 9 + 49 + 49) / 5 = 136 / 5 = 27.2 (to 1 decimal place).

Compute the standard deviation by taking the square root of the variance:

  Standard Deviation =\(\sqrt(27.2)\) ≈ 5.21 (to 2 decimal places).

Therefore, the variance is 27.2 (to 1 decimal place), and the standard deviation is approximately 5.21 (to 2 decimal places).

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To determine the distance from the base of the plateau, knowing the height and the angle of elevation to the top, we can use trigonometry and the tangent function.

Let's assume the height of the plateau is 'h' meters and the angle of elevation to the top is 'θ'. We can set up a right triangle with the height of the plateau as the opposite side and the distance from the base to your position as the adjacent side. The tangent function relates the opposite and adjacent sides of a right triangle.

Using trigonometry, we can write the equation:

tan(θ) = h / distance

To isolate the distance, we rearrange the equation:

distance = h / tan(θ)

By plugging in the values for 'h' (height of the plateau) and 'θ' (angle of elevation), we can calculate the distance from the base to your position. Remember to ensure that the angle is in radians if the tangent function expects input in radians.

Keep in mind that this calculation assumes a flat ground leading up to the plateau and neglects any other obstacles or irregularities that might affect the actual distance.

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Answer:

x=-12

x=10

x=-8

x=-5

Step-by-step explanation:

Answer:

1.x=-12

2.x=10

3.x=-8

4.x=-5

Step-by-step explanation:

Answer:

The GCF of 42 and 55 is 1.

Step-by-step explanation:

sorry it took me a while to write in my book

42 AND 55 ARE A PAIR OF CO-PRIME NUMBERS

CO PRIME:a pair of numbers which have the only common factor as 1 is called as co prime

Answer:

the gcf is 1

Step-by-step explanation:

If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

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Answer:

Step-by-step explanation:

Answer: 1a. f(2) is an x-value

1b. f(x) = 4 is a y-value

1c. f(-10) is an x-value

1d. m(x) = 64 is a y-value

2.  f(4) = 17

3.  x = 39

Step-by-step explanation:  In general, if there is an equal sign, the output f(x) is a y-value. if the expression is f(#) with a number in the parentheses, that is the value to insert for x.

2.) f(x) = 2x + 9

f(4) = 2(4) + 9

f(4) = 8 + 9

f(4) = 17

3. f(x) = 5x -3

192 = 5x -3

192 + 3 = 5x

195 = 5x

39 = x

The purpose of stories "Here at the given any rate is said the bachelor, and then collecting his belongings preparatory to leaving the carriage, then he kept them quiet for ten minutes, which was more than you were able to do."

Here we need to excerpt from the storyteller best supports the theme that the purpose of stories.

While we look the bachelor says at the end they said that he kept them quiet for ten minutes, which was more than you were able to do and then he is implying that no matter what she thought of his story and how much "better" she thought she could've done it, and then his was able to capture the attention of these kids and that is the matter of the issue because, therefore for a story and then entertaining is more important than proper form

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The distance of 42.5 km correct to 3 significant figures has an error interval of 42.0 km to 43.0 km.

What is error interval?

The accuracy thresholds that apply when a number has been rounded or shortened are known as error intervals. In other words, they represent the range of values that a number may have taken had it not been rounded off or truncated.

If the distance is measured as 42.5 km correct to 3 significant figures, this means that the last digit is uncertain and could be off by up to 0.5.

To determine the error interval for this statement, consider the range of possible values that could result from the uncertainty in the measurement.

Since the last significant digit is in the ones place, the error interval is ±0.5 km.

Therefore, the error interval is 42.0 km to 43.0 km.

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Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

\(the \: right \: answer \: is \: of \: option \: d \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

Given the joint probability density function (PDF) of random variables X and Y, we can calculate various statistics. The first part of the question asks for the expected value (mean) and variance of |X|, and the expected value and variance of Y. The second part asks for the covariance between |X| and Y, and the expected value and variance of |X+Y|.

(a) To calculate E[X], we integrate X multiplied by the joint PDF over the range of X and Y. Similarly, to find Var|X|, we need to calculate the variance of the absolute value of X, which requires calculating E[|X|] and E[X^2]. Using the given joint PDF, we can perform these integrations.

(b) E[Y] can be calculated by integrating Y multiplied by the joint PDF over the range of X and Y. Var[Y] can be found by calculating E[Y^2] and subtracting (E[Y])^2.

(c) The covariance between |X| and Y, denoted as Cov|X,Y|, can be calculated using the formula Cov|X,Y| = E[|X||Y|] - E[|X|]E[Y]. Again, we need to perform the necessary integrations using the given joint PDF.

(d) E[|X+Y|] can be found by integrating |X+Y| multiplied by the joint PDF over the range of X and Y.

(e) Var|X+Y| can be calculated by finding E[|X+Y|^2] - (E[|X+Y|])^2. To find E[|X+Y|^2], we integrate |X+Y|^2 multiplied by the joint PDF over the range of X and Y.

Performing these integrations using the given joint PDF will yield the specific values for each of the statistics mentioned above.

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Answer:

x=19.5cm

Step-by-step explanation:

15÷10= 1.5

13x1.5

=19.5cm

Answer:

$93000

Step-by-step explanation:

Answer:

7

Step-by-step

on 2x-14 you got to divide by 2 on both sides and 2x/2 is 0 so that is how it is 7

To find a reduction formula for the given integral ∫ sec^n(x)dx, we can start by using integration by parts.
Here are the steps:

Step 1: Let u = sec^(n-2)(x) and dv = sec^2(x)dx.
Then, du/dx = (n-2)sec^(n-3)(x)tan(x) and v = tan(x).
Step 2: Using the formula for integration by parts, we have:
\(∫ sec^n(x)dx = sec^(n-2)(x)tan(x) - ∫ (n-2)sec^(n-3)(x)tan^2(x)dx\)
Step 3: Next, we substitute 1 + tan^2(x) for sec^2(x)
and simplify the expression to get:
\(∫ sec^n(x)dx = sec^(n-2)(x)tan(x) - (n-2)∫ sec^(n-2)(x)dx + (n-2)∫ sec^n(x)dx\)
Step 4: Rearranging the equation to solve for ∫ sec^n(x)dx, we get:
\(∫ sec^n(x)dx = (1/n-1)sec^(n-2)(x)tan(x) + (n-2)/(n-1)∫ sec^(n-2)(x)dx\)
The base case for this reduction formula is
∫ sec(x)dx = ln|sec(x) + tan(x)|.
Therefore, we can use this formula to find integrals of higher powers of sec(x) by repeatedly applying the reduction formula until we reach the base case.

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Answer:

1000000 is the smallest 7-digit number