Find the square of the given algebraic expression (p+9).




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Answer:

72 min

Step-by-step explanation:

288 / 4 = 72

Gilbert walked 288 minutes which is 4 times more than Eileen walk, then total minutes walked by Eileen will be 72 minutes.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data mentioned in the question,

Total minutes walked by Gilbert = 288 minutes

Gilbert walks 4 times than Eileen, then number of minutes walked by Eileen will be,

4x = 288 minutes

x = 288/4

x = 72 minutes, here x is a number of minutes walked by Eileen.

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Answer:

y = 1/4 x - 2

Step-by-step explanation:

y = mx + b

m = 1/4 *rise/run --> rises 1 square then runs 4 squares to the left indicating it's positive

x = x

b = y-intercept --> (0,-2) --> -2

8

In this pattern, we have 4 12 then 20.

We can see that the difference 4 and 12 is 8.

Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.

Answer:

40

Step-by-step explanation:

plugging in a and b will get us:

\(2^{2} + 6^{2} = c^{2}\)

4 + 36 = \(c^{2}\)

40 = \(c^{2}\)

c= \(\sqrt{40\\\)

A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.

Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.

Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.

Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.

We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.

The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.

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Answer:

Step-by-step explanation:

Answer:

$83,781.90

Step-by-step explanation:

Dividend received each year is $83781.9

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

Number of shares= 5715

Yearly dividend of each share= $14.66

Now,

Total dividend of all shares

=5715*14.66

=83781.9

Therefore, by algebra the dividend will be $83781.9

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1) Dividing it

Is that 9 ÷ 4000?

yes

Is there any option 2.25 x 10^-³ or 9/4000?

ghskkj?

9 / 4000 = 0.00225 or 2.25 x 10^-³ o

End behavior: f. As x -> 2, f(x) -> ∞; As x -> ∞, f(x) -> -∞

x-intercept: a. (3, 0)

Range: p. (-∞, ∞)

The range is the set of all possible y-values

Asymptote: x = 2

Transformation: l. right 2

with respect to the next parent function:

Domain: g. x > 2

The domain is the set of all possible x-values

Answer:

option A is correct.

given integer:

109, 60, 77, 54, 63, 84, 93, 65, 58, 97, 113

arrange them in ascending order:

54, 58, 60, 63, 65, 77, 84, 93, 97, 109, 113

Stem            Leaf

5                 4    8

6                 0  3  5

7                    7

8                    4

9                  3  7

10                   9

11                    3

Answer:

Step-by-step explanation:

As per graph the lines B and C intersect at point (2, 2) so it the solution of system with those lines

9514 1404 393

Answer:

  1

Step-by-step explanation:

The third term is g. It is equivalent to 1g. (A coefficient of 1 is rarely shown.) The coefficient is the constant multiplier of the variable expression. In the third term, the coefficient is 1.

The dimensions of the enclosure that is most economical to construct will be 3 feet and 86.67 feet.

For the maximum value of the function if f''(x) < 0 and for the minimum value of the function if f''(x) > 0.

The maximum and minimum value of the function is at f'(x) = 0.

A wall is to be worked to encase a rectangular area of 260 square feet. The wall along three sides is to be made of material that costs 3 bucks for every foot, and the material for the fourth side costs 15 bucks for each foot.

LW = 260

L = 260 / W

Then the minimum cost is given as,

y = 3L + 3W + 3L + 15W

y = 18W + 6L

y = 18W + 6(260 / W)

y = 18W + 1560 / W

Differentiate with respect to W and put it zero, then we have

y' = 0

18 - 1560/W² = 0

W² = 1560 / 18

W = 86.67 feet

Then the length is given as,

L = 260 / 86.67

L = 3 feet

The dimensions of the enclosure that is most economical to construct will be 3 feet and 86.67 feet.

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Answer:

the margin of error for this interval is 0.049

Step-by-step explanation:

The computation of the margin of error for this interval is shown below;

Given that

n = 400

x = 200

Now

p = x ÷ n = 200 ÷ 400 = 0.5

Now the margin of error is

= \(z \times \sqrt{\frac{p(1-p)}{n}} \\\\1.96 \times \sqrt{\frac{0.5 \times 0.5}{400} }\)

= 0.049

Hence the margin of error for this interval is 0.049

Answer:

the answer is y-4

Step-by-step explanation:

variable cone first

Answer:

1.62i

Step-by-step explanation:

Collect like terms by subtracting their coefficients.

(6.29-5.3) x i

Subtract the numbers.

1.62i

Was this the answer you were looking for?

False, the coefficient of multiple determination, adjusted r square, reports the proportion of the variation in y that is explained by the variation in the set of independent variables.

What is measured by the R-squared coefficient of multiple determination?

How accurately a statistical model predicts a result is measured by the coefficient of determination (R2).

                        The dependent variable in the model is a representation of the result. R2 can take on a range of values between 0 and 1, with 1 being the maximum.

What is an example of an independent variable?

It is an independent variable that doesn't alter as a result of the other variables you're attempting to assess. Age, for instance, could be an independent variable.

                    Other elements (such as what they consume, how much they attend school, and how much television they watch) won't alter a person's age.

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Answer: Choice A

Step-by-step explanation: You are given the above statement.

1/5= 0.20

3/5= 0.60

You add 2 to both of these and you get 2.20 and 2.60. Notice that 2.60 is greater than 2.20. All choices have the word "vertical" in it meaning going from east to west. Choices D and C, you can eliminate because choice D says they lie below zero and in this case, both points are above zero. Choice C says they lie on the same points. Although close but they're 2 different figures. Choice B says 2.60 is below 2.20 which is false. Therefore, choice A is the answer which says that 2.20 is located below 2.60 which makes sense.

I hope this explanation helps you out.

Best to you!

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer:

The first three

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{15}{7} or \frac{26}{9}\)

Since the square has a diagonal length 9 m, the side length of the square is equal to 636 centimeters.

In Mathematics and Geometry, the area of a square can be calculated by using this mathematical equation (formula);

A = x²

Where:

In Mathematics and Geometry, the side length of a square can be calculated by using this mathematical equation (formula);

Diagonal, d = √2x

Solving for x, we have:

x = d/√2

x = 9/√2

x = 6.3640 meters.

Conversion:

1 meter = 100 centimeters

6.3640 meters = 636.4 ≈ 636 centimeters.

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Answer:

75.0001

Step-by-step explanation:

Used a calculator

Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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Step-by-step explanation:

vii. there is 9x² instead of 3x² in right hand side

ix.there must be 4a²& 12a instead of 2a²and 6a respectively.

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

There are 6 rock songs on Fernando's road trip playlist.

Step-by-step explanation:

Given that he keeps the ratio same

This means that the ratios for both summer playlist and trip playlist will be the same

Let

c1 be the country songs in summer playlist

r1 be the rock songs in trip playlist

Similarly,

c2,r2 will be the country and rock songs in trip playlist

Both will be equal so

\(\frac{c_1}{r_1} = \frac{c_2}{r_2}\)

Putting the values

\(\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6\)

Hence,

There are 6 rock songs on Fernando's road trip playlist.

Answer:

6 songs

Step-by-step explanation: