A 4 inch by 6 inch picture is placed in a frame that creates a uniform border of x inches around the picture. The area of the entire frame (including where the picture is placed) is equal to 55.25 square inches.

The true statement is, The graph of y = log (x) + 4 is the graph of y = log (x) translated 4 units up.

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

Given function is,

y = log (x)

When the graph is translated 4 units down,

y = log (x) - 4

When the graph is translated 4 units left,

y = log (x + 4)

When the graph is translated 4 units up,

y = log (x) + 4

When the graph is translated 4 units right,

y = log (x - 4)

Hence the true statement is C.

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False.

The range value is not determined by a specific number such as 13 or 14, but rather by the difference between the maximum and minimum values of the variables or measurements in question. The range is a measure of the spread or dispersion of the data and can be used with both discrete and continuous variables. For example, if the maximum value of a variable is 20 and the minimum value is 5, the range would be 20 - 5 = 15. Therefore, the statement that the range value 13 works particularly well for variables with precisely defined upper and lower bounds and that another valid range value is 14, commonly used with measurements of a continuous variable, is false.

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The fraction of May's property that is left is 7/15.

A fraction is a value derived in such a way that it is a part of a given initial value. An example is one third of 12 is 4. In this case, 4 is a fraction of 12.

Considering the given question, we have;

let the total property of May be represented by 1, so that

fraction left after giving 1/5 to her son = 1 - 1/5

                             = (5 - 1)/ 5

                             = 4/ 5

The fraction left after giving 1/5 of her property to her son is 4/ 5.

So that;

the fraction left after she gave 1/3 to her daughter = 4/ 5 - 1/ 3

                                               = (12 - 5)/ 15

                                               = 7/ 15

Therefore, the fraction of her property left is 7/ 15.

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The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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Answer:

The value is -6.

Step-by-step explanation:

First, you use subsitution.

4(3) - 3(6)

Then, you multiply.

12 - 18

Do the subtraction and you're left with -6 as your answer.

The completed statement with regards to the importance of the nominal and real value of a statistic are presented as follows;

Generally, the real value is more important than the nominal value of a given statistic since it is more contextual

The nominal value of an item is the current or unadjusted price of the item, such that the effect of inflation on the price of the item are not included.

An item's real value, also known as the relative price of the item is obtained by adjusting the nominal value of the item for inflation, such that the value of the item is indicated based on a comparison to another item.

An example comparison of the nominal and real value of an item are presented as follows;

Let $50,000 represent the personal income of a person in the current year, let $53,000 represent the income of the person in the following year, and let the rate the inflation rate be 2.5%, therefore;

The nominal rate of increase or growth of the income is; (53,000 - 50,000)/(50,000) × 100 = 6%

The real growth of the income is therefore 6% - 2.5% =  3.5%

Therefore, for measurements of economic indices such as the Gross Domestic Product, GDP, the real values are more important as the real values form a more accurate indication of the economic parameters.

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Answer:

none of the above

Step-by-step explanation:

Answer:

Dominan is X.

Range is Y

Step-by-step explanation:

Answer:

Range is Y and Domain is x

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

if you divide both sides of -5x > 0 you get z > 0. This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get -30 > 0, which is not true

I put the answers in bold

hope this helps!

Step-by-step explanation:

Answer:

t=1

Step-by-step explanation:

16-2t = t + 9 +4t

combine like terms

16-2t = 5t + 9

add 2t to both sides

16-2t+2t = 5t+9+2t

combine like terms

16=7t+9

subtract 9 from both sides

16-9=7t+9-9

combine like terms

7=7t

divide both sides by 7

t=1

Answer:

16=t+9+4t+2t

16=9+7t

16-9=7t

7=7t

t=1

Answer:

0,8,5

Step-by-step explanation:

x+22 <32

Subtract 22 from each side

x+22-22 <32-22

x <10

The choices that fit

0,8,5

Answer:

Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.

Step-by-step explanation:

x + 22 < 32

This problem is fairly simple! All we need to do is substitute each number given for x and compute to find out if the equation will be true! First what we need to do is plug in each number given into our variable x. Our numbers are: 0, 10, 8, 71, 15, and 5

x = 0

0 + 22 < 32

22 < 32

Is 22 less than 32? It is! So it belongs to the solution set.

x = 10

10 + 22 < 32

32 < 32

32 is equal to 32, not less than 32. A number cannot be itself and less than itself, thus x = 10 does not belong to the solution set.

x = 8

8 + 22 < 32

30 < 32

Is 30 less than 32? Yes! Since the inequality is true (that's what these kinds of equations are called) it  belongs to the solution set.

x = 71

71 + 22 < 32

94 < 32

Is 94 less than 32? No. 71 does not belong to this solution set.

x = 15

15 + 22 < 32

37 < 32

37 is not less than 32. Therefore it doesn't belong to the solution set.

x = 5

5 + 22 < 32

27 < 32

Is 27 less than 32? Yes. Therefore, it belongs to the solution set.

Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.

Answer:

-4,-1

Step-by-step explanation:

So how I did it is, I made a mintale picture of it in my head. Then, I "counted" how much space I had to go for the next point. And that's how I got the answer of -4,-1.

Answer:

The question is not complete

As per the perimeter the length of the shorter side is 10.5 feet and the length of the longer side is 73.5 feet.

The perimeter of a rectangle is the sum of the lengths of all its sides. If we know the perimeter of a rectangle and some information about the relationship between its sides, we can use that information to find the lengths of the sides.

Let's call the length of the shorter side "x".

The other side is seven times as long, so it is 7x.

The perimeter of the rectangle is 168 feet, so we have

=> 2x + 14x = 168.

Simplifying the equation, we have

=> 16x = 168.

Dividing both sides of the equation by 16, we find

=> x = 10.5.

So, the length of the shorter side is 10.5 feet and the length of the longer side is

=> 7x = 7 * 10.5 = 73.5 feet.

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Answer:

Step-by-step explanation:

-2x + 7(1/2) =15

-4x +7 =30

-4x =23

x=-23/4

Answer:

Kerrie's solution is corrrect.

Step-by-step explanation:

Solving it separately is also the same solving it

together.

For each variable, the possible values are:

a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

c) U = {0, 1, 2, 3, 4, 5, 6}

d) Z = {0, 1, 2}

Item a:

In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:

T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Item b:

In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:

X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

Item c:

The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.

U = {0, 1, 2, 3, 4, 5, 6}

Item d:

Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.

Z = {0, 1, 2}

The question is incomplete. The complete question is:

"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)

a. T = the total number of pumps in use

b. X = the difference between the numbers in use at stations 1 and 2.

c. U = the maximum number of pumps in use at either station

d. Z = the number of stations having exactly two pumps in use"

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Answer:

s=4

Step-by-step explanation:

area of square is side*side

so that means s*s=16

so s = 4

here's the conversion :

The measure of other two sides of triangle is12cm and 17cm.

What is a triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane. In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.

If all of geometry is the Euclidean plane, then all triangles are enclosed in a single plane, however in higher-dimensional Euclidean spaces, this is no longer the case. Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

here it is given in the question

the base of the triangle is 10cm.

then the value of other two side is 12cm and 17cm.

Hence, The measure of other two sides of triangle is12cm and 17cm.

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Answer:

T' (-3,5)

U' (-4,3)

V' (-1,2)

Answer:

A. He will have to work 40 hours to buy the headphones

B.  1200 ≤ 10.25x ≤ 2000    where x is # of hrs worked

He can work anywhere between 118 and 196 hours.

Step-by-step explanation:

A. Divide 399.95 by 10.25 to get 39.01 hours. But since you cant work 0.01 of an hour, you have to round up to the next hour

B. You want to make more than or equal to 1200, so put that in the inequality. You want to make less or equal to 2000, so you put that in the inequality. In the middle, you put 10.25 an hour multiplied by the number of hours, which is a variable.

To solve, I made 10.25x = 1200, and x equaled 117.07, which rounds up to 118 hours because you cant work a 0.07 of an hour. 118 hours is the low number of the spectrum.

To solve for the highest number on the spectrum, you do 10.25x = 2000, and x equals 195.12, but since you cant work 0.12 of an hour, it rounds up to 196 hours.

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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Answer:Expand areaofthequadrilateralwithverticesat(2, - 4),(4, - 4),(2,1),and(4,1)

Step 1: Multiply (areaofthequadrilateralwithverticesat) * (2, - 4,)

Step 1.1: Multiply areaofthequadrilateralwithverticesat by each term in 2, - 4,

Step 1.1.1: Multiply areaofthequadrilateralwithverticesat * 2,

Group constants and powers by variable

(1 * 1)(a1 + 1 + 1 + 1 + 1 + 1r1 + 1 + 1 + 1e1 + 1 + 1 + 1 + 1o1f1t1 + 1 + 1 + 1 + 1h1 + 1q1u1d1i1 + 1 + 1l1 + 1w1v1c1s1)

a6r4e5oft5h2qudi3l2wvcs

Step 1.1.2: Multiply areaofthequadrilateralwithverticesat * -4,

Group constants and powers by variable

(1 * 1)(a1 + 1 + 1 + 1 + 1 + 1r1 + 1 + 1 + 1e1 + 1 + 1 + 1 + 1o1f1t1 + 1 + 1 + 1 + 1h1 + 1q1u1d1i1 + 1 + 1l1 + 1w1v1c1s1)

a6r4e5oft5h2qudi3l2wvcs

Step 1 answer = a6r4e5oft5h2qudi3l2wvcs + 1a6r4e5oft5h2qudi3l2wvcs

Group all like terms

2a6r4e5oft5h2qudi3l2wvcs

Step-by-step explanation:

The line of reflection of the given image is:

A reflection across y = -3

A line of reflection is a line that lies between two identical mirror images, so the distance of any point of one figure from the line will equal the distance of the same point of the mirror image (flipped figure).

The definition above tells us that if we are given two images, such as mirror images of each other, the line of reflection can be determined by calculating the midpoint from any two points of the figures.

Looking at the given image, the center point of the mirror images is seen as y = -3

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