Which function has a vertex at the origin?
f(x) = (x + 4)²
f(x) = x(x-4)
f(x) = -x²
f(x) = (x-4)(x+4)

Using proportions, it is found that the floor space occupied by each machine is of 6.5 ft².

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, five identical machines cover a total of 32 1/2 ft² = 32.5 ft², hence the space occupied by each machine is given as follows, applying the proportion:

32.5 ft²/5 = 6.5 ft².

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The statement (C) the number of juice boxes must be an even number is correct.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a rule is “Multiply by 8"

Number of Packages:         3    5   6    8

Number of Juice Boxes:     24  40  48

The statements are:

Number of package starts from 3

Applying the rule: "Multiply by 8.

Number of Juice Boxes = 3×8 = 24

The statement should be the number of juice boxes will always be greater than and equal to 24.

When we multiply even with odd we get an even number.

8 is an even number.

Thus, the statement (C) the number of juice boxes must be an even number is correct.

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The number would you add to both sides of x² + 7x = 4 to complete the square option C 7²/2.

Suppose the considered quadratic equation is of the form

ax^2 + bx + c = 0

Then, completing the squares method tries to make a squared term in terms of x in the left side, so that x comes in linear form, instead of quadratic.

The given quadratic equation is

x² + 7x = 4

add  7²/2 to both sides of x² + 7x = 4 to complete the square

7²/2 = 49/4

x² + 7x + 49/4 = 4+ 49/4

(x + 7/2)² = 4+ 49/4

Thus, option C 7²/2 is correct.

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Answer:

No

Step-by-step explanation:

If a ordered pair is a solution for an equation, then it will satisfy the equation. That is, after substituting the x and y values in the equation, both sides of the equation will be same.

Here 29 ≠ 45.

So, (4,7) is not a solution

Answer: x=25, y=2

Step-by-step explanation:

use Pythagorean theorem to get that 1250= c^2. then sqaure root both sides. c= sqrt(1250). jailbreak to get c=(5 x 5 x 5 x 5 x 2), and take the fives out from under the square root to get 25 x sqrt2.

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

From the question, we are to calculate the surface area of each part of the composite figure

Surface area of a cube is given by

[tex]S = 6l^{2}[/tex]

Where [tex]l[/tex] is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = [tex]5l^{2}[/tex]

From the given information,

[tex]l = 6 \ feet[/tex]

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

The surface area of a square prism is given by the formula,

[tex]S = 2l^{2} + 4lh[/tex]

Where [tex]l[/tex] is the length of the sides and

[tex]h[/tex] is the height

But the square surfaces are not part of the surface of the figure

∴ Surface area of the square prism in the figure = [tex]2l^{2} + 4lh - 2l^{2}[/tex]

Surface area of the square prism in the figure = [tex]4lh[/tex]

From the given information,

[tex]l = 6 \ feet[/tex]

[tex]h = 20 \ feet[/tex]

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

The pyramid is a square pyramid

The surface area of a square pyramid is given by

[tex]S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }[/tex]

Where [tex]l[/tex] is the base length

and [tex]h[/tex] is the height of the prism

But the square base is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = [tex]l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})[/tex]

Surface area of the pyramid part of the figure = [tex]2l\sqrt{\frac{l^{2} }{4}+h^{2} }[/tex]

From the given information,

[tex]l = 6 \ feet[/tex]

[tex]h = 4 \ feet[/tex]

∴ Surface area of the pyramid part of the figure = [tex]2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }[/tex]

= [tex]12\sqrt{\frac{36 }{4}+16}[/tex]

= [tex]12\sqrt{9+16 }[/tex]

= [tex]12\sqrt{25}[/tex]

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

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Answer:

1: 60

2: 480

3: 180

4: 720

Step-by-step explanation:

plato answer :)

Answer:

u should subract those not add

The rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.

Volume is defined as the space occupied by a three dimensional figure.

It is given that

A cube's edge lengths are each 5 inches

A rectangular prism's length and width are also 5 inches, but its height is [tex]\rm 7\dfrac{1}{2}[/tex]

The volume of the cube is given by side * side * side

Volume of cube = 5 *5 * 5 = 125 cu. inches

The volume of cuboid = length * width * height

Volume of Cuboid = 187.5 cu.inches.

Therefore the rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.

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Answer:

i think the answer is A. 2x^3y^2

Answer:

The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine

Step-by-step explanation:

3p = three x a number

7p = seven x a number

3p+6 = sum of three x a number plus six

7p-9 = difference of seven x the number minus nine

(3p+6)/(7p-9) = sum of three times x number plus six, divided by the difference of seven x the number - nine

Answer:

1) 5
2) 0.8
3)  -1.3

4) -[tex]\frac{4}{9}[/tex]

5) ±10

6) ±[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

Answer: The correct answer is 13776.

Explanation: There are 3024 five-digit numbers that begin with the digit 4 with no repetition.

The solution set of the inequality −5 < 2x + 3 < 9 is (-4,3)

The compound inequality is given as:

−5 < 2x + 3 < 9

Expand the inequality

−5 < 2x + 3 or 2x + 3 < 9

Rewrite as:

2x + 3 > -5 or 2x + 3 < 9

Subtract 3 from both sides

2x > -8 or 2x < 6

Divide both sides by 2

x > -4 or x < 3

Rewrite as:

(-4,3)

Hence, the solution set of the inequality is (-4,3)

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Answer:

x = 7

Step-by-step explanation:

8*7 - 6 = 50

Answer:

40.5 inch²

Step-by-step explanation:

(((6×1.5)×4)+((1.5×1.5)×2) = 40.5

60.2 is the value of x in Trigonometric ratios

What are the trigonometric ratios?

Trigonometric ratios are used to describe the side ratios of a right triangle. The sine (sin), the cosine (cos), and the tangent are three popular trigonometric ratios (tan).

                      Greek is the language of measuring, "metric," and "trigon" is the language of triangles. It is possible to measure a right triangle specifically using its trigonometric ratios.

43 degree as reference angle

using tan rule

tan 43 = opposite / adjacent

0.93 = x / 56

x = 56/0.93

x = 60.21

x = 60.2

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Step-by-step explanation:

Ashley is the utilities manager at a paper mill. She's watching over one of her holding tanks. It takes 4/5 of an hour to fill 1/2 the tank

First we convert 4/5 of an hour in to

minutes

4/5 6048 minutes

In 48 minutes ----> 1/2 tank filled

In 60 minutes ----> 60 * 1/2 divide by 48

30 divide by 48=\frac{30}{48}

48

30

All 15%

Simplify the fraction by dividing top and

bottom by 6

30/48 = 5/8

Answer:

  D.  (2, 3)

Step-by-step explanation:

The equation will be true when the values of x and y are substituted and the result matches what you know about sums.

__

The values in each ordered pair are (x, y).

x = -2, y = -3

Substituted into the equation, we get ...

  -3 = -2 +1 . . . . . . false

__

x = 5, y = 4

Substituted into the equation, we get ...

  4 = 5 +1 . . . . . . false

__

x = 0, y = -1

Substituted into the equation, we get ...

  -1 = 0 +1 . . . . . . false

__

x = 2, y = 3

Substituted into the equation, we get ...

  3 = 2 +1 . . . . . . true

Answer:

Answer is C

Step-by-step explanation:

It's the same as the mapping diagram but the values are flipped. It's going backward instead of forwards.

Answer: [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

use probability

the chances of you getting heads on a coin is 50% therefore, flipping two coins is just

[tex]\frac{1}{2} * \frac{1}{2}= \frac{1}{4}[/tex]

Answer:

the probability of getting two heads is 1/4

Step-by-step explanation:

H = (HH) => n(H) = 1

n(S) = 4

P(E) = number of favourable outcomes/total number of outcomes = n(E) / n (S)

PH = n(H)/n(S)

= 1/4

Answer:

6.5m

Step-by-step explanation:

V=TTr²h

507TT=TTr²12

cancel TT on both sides

507=12r²

169\4=r²

r=13/2

Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 19000, \sigma = \sqrt{4000000} = 2000[/tex]

The probability that the life span of the monitor will be more than 20,179 hours is one subtracted by the p-value of Z when X = 20179, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20179 - 19000}{2000}[/tex]

Z = 0.59.

Z = 0.59 has a p-value of 0.7224.

1 - 0.7224 = 0.2776.

0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

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Answer:

5 × 10¹³

Step-by-step explanation:

(1.5 × 10¹⁰) ÷ (3 × 10⁻⁴) = 50,000,000,000,000

Answer:

2/3

Step-by-step explanation:

Answer:

20 I guess

Step-by-step explanation:

because maybe 1 is 9

Answer:

no

Step-by-step explanation:

3.5m=350cm

35cm<350cm