Find the measurement indicated in each parallelogram.

Answer:

Solutions in Attached Photo.

Step-by-step explanation:

To find the inverse of a function , we first solve for x in terms of y, then swap back x and y to get the inverse.

Answer:

-3x+14

Step-by-step explanation:

Given : a = -10 and b = -4

To prove : a - b ≠ b - a

Proof : To put the values according to question,

Hence verified

Answer:

(a) 6 choices

(b) 3 Choices

Step-by-step explanation:

Given:

3 Colors

Order of choice : Red, Blue, Green

(a) Order of the choices taken into consideration :

When we are picking  the first colour there are 3 color choice.

When we are picking second colour there are 2 choice and so on.

Therefore, total choices are = 3*2 = 6 choices

(b) Order of the choices not taken into consideration :

When to take this option we choose as  and the remove the duplicates

Therefore, choices are = = = 3 Choices

Answer:

  14.47 . . . units

Step-by-step explanation:

Given the vertices of triangle XYZ are (-1, 3), (3, 0) and (-1, -2), you want the perimeter rounded to hundredths.

The perimeter of a polygon is the sum of the lengths of the sides. When the points defining a side are on a vertical line, as with segment XZ, the length is the difference of y-coordinates.

When the points are not on a horizontal or vertical line, the distance between them can be found using the distance formula.

The distance between (x1, y1) and (x2, y2) is given by the formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

The length of segment XY is ...

  d = √((3 -(-1))² +(0 -3)²) = √(4² +(-3)²) = √25 = 5

The length of segment YZ is ...

  d = √((-1 -3)² +(-2-0)²) = √((-4)² +(-2)²) = √20 ≈ 4.47

Side XZ has length (3 -(-2)) = 5, the difference of y-coordinates. Then the perimeter is ...

  P = XZ +XY +YZ = 5 +5 +4.47

  P = 14.47 . . . . units

The perimeter of the triangle is about 14.47 units.

The cost of the each stamp is a 4$ and the 9$.

According to the statement

We have to find that the cost of the each stamp.

So, For this purpose, we know that the

The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.

From the given information:

Neil needs to mail a USB drive to a friend. He uses 43-cent stamps and 8-cent stamps to pay $2.01 in postage.

Then

48x + 7y = 255

let the value of the two unknowns.

Then

If x = 1, then y = 29.57, which is not a whole number.

If x = 2, then y = 122.71, which is not a whole number.

If x = 3, then y = 15.86, which is not a whole number.

If x = 4, then y = 9, which a a whole number.  This is a solution

And we know that the answer will be in a whole number.

So, The cost of the each stamp is a 4$ and the 9$.

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Answer:

B

Step-by-step explanation:

The photo is unclear but based on what I saw, -61 is smaller than +61.

Answer:0.428

Step-by-step explanation:

322 cans of soda were sold by the grocery store in all.\

Concept: Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.

Given: 52 cans of cherry soda, 194 cans of orange soda, and 76 cans of grape soda.

The total no. of total soda cans sold by the local grocery store is 52+194+76 = 322

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Answer: i think 16

Step-by-step explanation:

The best way to reduce the labor costs is to eliminating overtime. Thus option C is correct.

According to the statement

We have to find that the correct option.

So, For this purpose, we know that the

The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.

From the given information:

We have to find the method to reduce labor costs.

Then

Option a is not correct because Reducing food waste is not control this

and Getting produce directly from a farm is also not correct and Multiply costs by 0.30 or 30% and Using energy efficient light bulbs is a wrong option.

then

By eliminating the overtime of the labor from the labor cost we reduce the labor costs.

So, The best way to reduce the labor costs is to eliminating overtime. Thus option C is correct.

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The values of trigonometric function are tanθ = -1 and cotθ = -1.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

We have been given that trigonometric function

⇒ sinθ = √2/2

⇒ cosθ = -√2/2

We have to determine the function of tanθ and cotθ

Since tanθ = sinθ/cosθ

Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get

⇒ tanθ = (√2/2)/(-√2/2)

⇒ tanθ = (√2/2)×(-2/√2)

⇒ tanθ = -1

Since cotθ = cosθ/sinθ

Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get

⇒ cotθ = (-√2/2)/(√2/2)

⇒ cotθ = (√2/2)×(-√2/2)

⇒ cotθ = -1

Therefore, the values of trigonometric function are tanθ = -1 and cotθ = -1.

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Answer:

The answer is given in attached file.

Step-by-step explanation:

Using the z-distribution, the 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is: (0.61, 0.65).

A confidence interval of proportions is given by the following rule:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

For this problem, we have a 95% confidence level, hence the [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate and the sample size are given as follows:

[tex]\pi = 0.63, n = 2815[/tex]

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.63 - 1.96\sqrt{\frac{0.63(0.37)}{2815}} = 0.61[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.63 + 1.96\sqrt{\frac{0.63(0.37)}{2815}} = 0.65[/tex]

Hence the 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is: (0.61, 0.65).

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Account balance of Ginny after withdrawal = $ 20 .

Given : Ginny's account balance before withdrawal ie . $ 40

            Her withdrawal amount ie . $ 20

To find : account balance after withdrawal

Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .

After withdrawal ( taking out ) of $ 20 ,

Ginny has 40 - 20 = $ 20 left .

After adjustment , final amount = $ 20 .

Therefore , account balance of Ginny after withdrawal = $ 20 .

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Answer:

yes.

Step-by-step explanation:

Answer:

i'm pretty sure it's C.

Step-by-step explanation:

Using translation concepts, the graph of f(x) is given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent absolute value function is given by:

f(x) = |x|

Which has the graph in the format of a V centered at the origin.

The translated function is given by:

g(x) = -1/2|x + 4| + 2.

The translations are as follows:

Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.

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The final image is the same as Translate 5 units down, and then reflect over the y axis.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

Translation is the movement of a point up, down, left or right.

Transformation is the movement of a point from its initial location to a new location.

The final image is the same as Translate 5 units down, and then reflect over the y axis.

Therefore the coordinates remains same as previous figure.

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The value of x in the isosceles trapezoid is 7.

An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.

The base angles of an isosceles trapezoid are the same.

Therefore,

8x - 12 = 5x + 9

subtract 5x from both sides of the equation

8x - 12 = 5x + 9

8x - 5x - 12 = 5x - 5x + 9

3x - 12 = 9

add 12 to both sides of the equation

3x - 12 = 9

3x - 12 + 12 = 9 + 12

3x = 21

divide both sides by 3

x = 21 / 3

x = 7

Therefore, the value of x in the isosceles trapezoid is 7.

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The expression using factoring is 4 * (33 + 57)+ 8)

The expression is given as

(132 + 228)

Factor out 2 from the expression

So, we have

(132 + 228) = 2 * (66 + !14)

Factor out 2 from the expression

So, we have

(132 + 228) = 2 * 2 * (33 + 57)

This gives

(132 + 228) = 4 * (33 + 57)

Hence, the expression using factoring is 4 * (33 + 57)+ 8)

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The intersection between A and B gives the empty set, so we can conclude that there are no common elements between the sets A and B.

Here we only know that:

A ∩ B = ∅

First, the intersection between two sets (defined by the symbol ∩ ) is the set of all the common elements between the two sets.

In this case we can see that the intersection between A and B gives the empty set, this means that there are no common elements between the sets A and B.

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The mean and the variance of the given discrete distribution are as follows:

The distribution of waiting times is missing, and is given by the image at the end of the answer.

The question is also incomplete, but it asks for the mean and the variance of the distribution.

Hence, from the distribution off the image, considering the percentages as the probabilities, the mean is given by:

E(X) = 0.0299 x 1 + 0.1026 x 2 + 0.1496 x 3 + 0.2265 x 4 + 0.1581 x 5 + 0.1368 x 6 + 0.0769 x 7 + 0.0214 x 8 + 0.0299 x 9 + 0.0299 x 10 + 0.0385 x 15 =  5.0563 minutes.

Then, considering the mean found above, and it's formula, the variance is given as follows:

V(X) = 0.0299 x (1 - 5.0563)² + 0.1026 x (2 - 5.0563)² + 0.1496 x (3 - 5.0563)² + 0.2265 x (4 - 5.0563)² + 0.1581 x (5 - 5.0563)² + 0.1368 x (6 - 5.0563)² + 0.0769 x (7 - 5.0563)² + 0.0214 x (8 - 5.0563)² + 0.0299 x (9 - 5.0563)² + 0.0299 x (10 - 5.0563)² + 0.0385 x (15 - 5.0563)² = 7.9365 minutes².

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Answer:

x| = 78.7 is satisfied by both x = 78.7 and x = -78.7.

Step-by-step explanation:

Answer: 10 ways

Step-by-step explanation:

5! / (3! * 2!)=

1*2*3*4*5/(1*2*3*1*2)=

4*5/(1*2)=

20/2=10 ways

Answer:

Surface area is also 384.

Step-by-step explanation:

A = 12 × 12 + 12 × √(12/2)² + 8² + 12 × √(12/2)² + 8² = 384