The rectangles shown above are similar.
What is the measure of x?

A. 44 millimeters

B. 46 millimeters

C. 55 millimeters

D. 66 millimeters

Answer:

Cómo se vería si estuviera graficado:

2x−y=−2

3x−3y=15

Cómo se vería si lo resolviera graficando:

(−7,−12)

Answer:

Step-by-step explanation:

2x - y = -2

3x - 3y = 15

-6x + 3y = 6

3x - 3y  = 15

-3x = 21

x = -7

2(-7) - y = -2

-14 - y = -2

-y = 12

y = -12

(-7, -12)

The equation for the line is:

3y - x = 14

Given the line:

x - 3y = 7

This line can be written as:

y = (1/3)x - 7/3

The slope is 1/3

The y-intercept is -7/3

A line parallel to this has the same slope but different y-intercept, written as:

y = (1/3)x + b

Using the given point (-2, 4), with x = -2 and y = 4, we can obtain the value of b

4 = (1/3)(-2) + b

b = 4 + 2/3

= 14/3

Therefore, the line is:

y = (1/3)x + (14/3)

or

3y - x = 14

Answer:

A

Step-by-step explanation:

A linear regression model of the form Y = β0 + β1X + ε can be written as:

Yi = β0 + β1Xi + ei .

A linear regression model of the form Y = β0 + β1X + ε can be written as:

Yi = β0 + β1Xi + ei

Where ei is the residual for observation i. The plot of ei against Xi is known as a residual plot. The purpose of a residual plot is to check for non-linearity, unequal error variances, and outliers.

In this case, it appears that there is non-linearity present in the data. There appears to be a curved pattern in the residuals, suggesting that a linear regression model may not be the best approach to analyzing the relationship between Y and X. A transformation of the data, such as taking a logarithm of the variables, could potentially alleviate the non-linearity in the data.  This could potentially improve the fit of the linear regression model.

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Answer:

Step-by-step explanation:

Given expression

Solving for x

Value of x when p= - 5

Answer:hdhdh

Step-by-step explanation:

When both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.

Based on the given production alternatives for countries A and B, the correct statement regarding their production of computers and steel at full employment is:

"Country A has a comparative advantage in producing computers, while Country B has a comparative advantage in producing steel."

Here's a step-by-step explanation:

1. Calculate the opportunity cost for each country:
- Country A: To produce 1 computer, they give up 1 unit of steel (100 computers = 100 units of steel).
- Country B: To produce 1 computer, they give up 4 units of steel (20 computers = 80 units of steel).

2. Identify the comparative advantage:
- Country A has a lower opportunity cost for producing computers (1 unit of steel), so they have a comparative advantage in computer production.
- Country B has a higher opportunity cost for producing computers but a lower opportunity cost for producing steel, so they have a comparative advantage in steel production.

Thus, when both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.

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Answer:

Hi! The correct answer is o {(-4,5), (0, 2), (2,5)}!

Step-by-step explanation:

~To find a function look at the x values, if the x values don't repeat then it is a function~

Answer:

22

Step-by-step explanation:

4x² + 3x = 4(2)² + 3(2) = 4(4) + 6 = 16 + 6 = 22

Answer: 22

Answer:

7. 2s^7

8. 2s^4/5s^2

9. 108s^9

10. h^7

Step-by-step explanation:

7) (2s^3)^4

= 2s^(3+4)

= 2s^7.

8) (2s^2/5s)^2

= (2s^4/5s^2)

= 2s^4/5s^2.

9) 3s^5 × 4s^-2 × 9s^6

= 12s^{5+(-2)} × 9s^6

= 12s^3 × 9s^6

= 108s^9.

10) h^5/h^-2

= h^{5-(-2)}

= h^7.

if it helps don't forget to like and mark me

Answer:

18 miles per gallon

90/5=18

Step-by-step explanation:

Answer:

18 miles per gallon of gas

Step-by-step explanation:

because \(18*5=90\)

The interval of increase for the function f(x) = ex x8 is (0, ∞).

To determine the intervals of increase or decrease for the given function, we need to analyze the sign of the derivative.

Let's find the derivative of f(x) with respect to x:

f'(x) = (ex x8)' = ex x8 (8x7 + ex)

To determine the intervals of increase, we need to find where the derivative is positive (greater than zero).

Setting f'(x) > 0, we have:

ex x8 (8x7 + ex) > 0

The exponential term ex is always positive, so we can ignore it for determining the sign. Therefore, we have:

8x7 + ex > 0

Now, we solve for x:

8x7 > 0

Since 8 is positive, we can divide both sides by 8 without changing the inequality:

x7 > 0

The inequality x7 > 0 holds true for all positive values of x. Therefore, the interval of increase for the function is (0, ∞), which means the function increases for all positive values of x.

The function f(x) = ex x8 increases in the interval (0, ∞).

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Answer:

y = 3/2x + 2

Step-by-step explanation:

first things first write the equation is y = mb+b form which would be 2y  = 3x + 14 then divide everything by 2 to get y by itsself --> 3/2x + 7  for an equation to be paralle the equation needs the same slope which is -6 so 3/2(-6) = -9 so the next equation would also start with 3/2x,  so you would then do this:

-11 = -9 + b (y = mx+b)

b = -9 + 11 --> b = 2

so the equation is

y = 3/2x + 2

To find the "absolute-maximum" and "absolute-minimum" over an interval, first find critical point, evaluate function at critical points and the largest is max and smallest min.

The "Absolute" maximum and minimum values of a "function-f(x)" over an interval [a, b] are defined as the largest and smallest values of function over entire interval, respectively.

To find the absolute maximum and minimum values of a function over an interval, we can use the following steps:

(i) Find the "critical-points" of function within interval. These are points where the derivative of function is equal to zero or undefined.

(ii) "Evaluate" function at critical points and at "end-points" of the interval.

(iii) The largest value is the "absolute-maximum" value, and the smallest of these values is the "absolute-minimum" value.

It is possible for the absolute maximum or minimum value to occur at an endpoint of the interval, or at a critical point within the interval.

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find slope

5-4/3-2 = 1/1 = 1

choose a point

(y - 4) = 1(x-2)

The sample in this example is D) the small group of college students who are observed. The correct option is D.

The researcher has identified college students as her group of interest, but it is not feasible or practical to observe or study all college students. Therefore, she needs to select a subset of college students, which is known as a sample. In this case, she has chosen to observe a small group of local college students, which is the sample. It is important to note that the sample needs to be representative of the larger population of interest, in this case, all college students, in order for the results to be applicable to the larger group.

While the sample in this example is only a small group of local college students, the researcher would need to ensure that they are representative of all college students in order for the results to be generalizable.

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The lengthof the rectangle is 23 cm and width of the rectangle is 25cm.

Consecutive odd integers are odd integers that follow each other and they differ by 2.

Given that Length and width are consecutive odd integers then

Let length be x so width will be x+2.

The \(Perimeter \ of \ Rectangle = 2 (Length \ + \ Width)\)

Perimeter of Rectangle= 96cm

\(96 = 2 (Length \ + \ Width)\\(Length \ + \ Width) = 48\\x + x + 2 = 48\\2x = 46\\x = 23\)

So, length = x = 23cm

therefore, width = x+2 = 25cm

Therefore, Length of the rectangle is 23 cm and the Width of the rectangle is 25 cm.

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Answer:

8/17

Step-by-step explanation:

SohCahToa

Cos = adj/hypo

Cos C = 24/51

Simplify common denominator is 3

Cos C = 8/17

The linear function f(x) and g(x) have different intercept and slope.

To find what true or false about the given statements, we need to write out the equations for both functions.

f(x) = x + 9

To find the function g(x), we need to find the slope and y-intercept.

The slope of the function is given as;

m = y₂ - y₁ / x₂ - x₁

Taking two points from the table;

m = 14 - 10 / 3 - 1

m = 4 / 2

m = 2

Using the slope, we can find the y - intercept with any one point;

y = mx + c

10 = 2(1) + c

10 = 2 + c

c = 10 - 2

c = 8

The equation is y = 2x + 8

Now, we can write out the functions again;

f(x) = x + 9

g(x) = 2x + 8

Let's observe each of the given statements;

a. f(x) has a greater y - intercept than g(x) which is true because f(x) has intercept at 9 and g(x) has intercept at 8.

b. f(x) has greater x -intercept than g(x). This is false as f(x) has a lower x-intercept than g(x)

c. f(x) has a greater slope than g(x). This is also false as g(x) has a slope of 2 and f(x) has a slope of 1

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Answer:

90

Step-by-step explanation:

There are 12 inches in a foot.

So you will take the 7 feet and multiply it by 12

This gives you 84 inches

You then take the 6 inches over the 7 feet and add to the 84 inches

Thus you get 90 inches.

Answer: First off, tall guy. Second, the answer is 90, or D.

Step-by-step explanation:

there are 12 inches in a foot. Take the 12 and multiply it by 7. then add the 6 remaining inches to the 84.

JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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Answer:

To find the inverse, interchange the variables and solve for y

.

f^−1(x)=x/5−3/5

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

you just have to plug in 2 for x.

f(2)= 5(2)+3

=13

Using proportions, the costs are given as follows:

a) Total Labor Cost: $2,505,600.

b) Total Product Cost: $1,950,000.

c) Total Cost = $4,455,600.

d) Cost per home = $461.77.

e) Cost per week = $99,013.33.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item a, the labor cost is found using the earnings of the workers, as follows:

45 weeks x 5 days x 8 hours x 58 per hour x (12 + 8 + 4 workers)

Hence:

Total Labor Cost = 45 x 5 x 8 x 58 x 24 = $2,505,600.

For item b, the product cost is the cost of the boards, hence:

(175 + 150 + 50 boards) x 5,200

Total Product Cost = 375 x 5,200 = $1,950,000.

For item c, the total cost is the sum of the product cost and the labor cost, hence:

Total Cost = 2,505,600 + 1,950,000 = $4,455,600.

For item d, the cost per home is found dividing the total cost by the 9,649 homes, hence:

Cost per home = 4455600/9649 = $461.77.

For item e, the cost per week is found dividing the total cost by the 45 weeks, hence:

Cost per week = 4455600/45 = $99,013.33.

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The volume of the tent is approximately 700 cubic feet. To find the volume of the tent, we need to use the formula for the volume of a pyramid, which is:

Volume = (1/3) x Base Area x Height

Since the base of the pyramid is a square with sides measuring 60 inches, the base area is:

Base Area = 60 inches x 60 inches = 3600 square inches

The height of the pyramid is given as 84 inches.

Now, we can plug these values into the formula:

Volume = (1/3) x 3600 square inches x 84 inches
Volume = 1,209,600 cubic inches

To convert cubic inches to cubic feet, we need to divide by 12^3, which is 1728:

Volume = 1,209,600 cubic inches ÷ 1728 cubic inches per cubic foot
Volume = 700 cubic feet (rounded to the nearest cubic foot)

Therefore, the volume of the tent is approximately 700 cubic feet.

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Answer:

18

Step-by-step explanation:

\( \{{2}^{3} (4 \div 2) \}+ 2 \\ \\ = \{{2}^{3} \times 2 \} + 2 \\ \\ = {2}^{3 + 1} + 2 \\ \\ = {2}^{4} + 2 \\ \\ = 16 + 2 \\ \\ = 18\)

Answer:

10x^2-29x+10 is the answer of the question..Please use distributive property to solve it

Thank you

(a) 732321847343 is not a valid UPC code.

(b) 726412175425 is a valid UPC code.

(c) 012345678903 is not a valid UPC code.

To determine whether a string of 12 digits is a valid UPC code, we need to check whether it satisfies the following conditions:

(a)  732321847343

This string has 12 digits, so it satisfies condition 1. However, the first digit is 7, which is not a valid number system digit.

Therefore, this is not a valid UPC code.

(b) 726412175425

This string has 12 digits, so it satisfies condition 1. The first digit is 7, which is a valid number system digit.

The next five digits (26412) are the manufacturer code, and the following five digits (17542) are the product code. The last digit (5) is the check digit.

Therefore, this is a valid UPC code.

(c) 012345678903

This string has 12 digits, so it satisfies condition 1. The first digit is 0, which is a valid number system digit.

However, the manufacturer code and product code (12345 and 67890, respectively) are not valid, as they do not correspond to any known manufacturer or product.

Therefore, this is not a valid UPC code.

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Answer:

Step-by-step explanation:

base b = 3 cm

height h = 5 cm

volume = (⅓)b²h = 15 cm³