Which of the following statements are true? Select all that apply.

9514 1404 393

Answer:

  C  The cost of living will increase by approximately 5% each year

Step-by-step explanation:

If we assume your function is ...

  [tex]f(x)=34000(1.05)^x\qquad\text{x is years}[/tex]

Then the growth factor 1.05 represents a growth rate of 1.05 -1 = .05 = 5% per year. The positive growth rate means the cost of living is increasing.

Noah's cost of living is increasing about 5% per year.

Answer:

what was c?

Step-by-step explanation:

Answer:

Domain → (-∞, -1)∪(-1, ∞)

Range → (-∞, ∞)

Step-by-step explanation:

Given function is,

[tex]\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}[/tex]

This function is not defined when the denominator is zero.

2x + 2 = 0

2x = -2

x = -1

Therefore, x = -1 is not in the domain of this function.

And the domain will be,

(-∞, -1)∪(-1, ∞)

For all values of x (except x = -1) we get some output values (value of [tex]\frac{f(x)}{g(x)}[/tex]).

Therefore, range of the function will be (-∞, ∞).

Answer:

48 drops

Step-by-step explanation:

32/8 = 4 x 12 = 48 drops

Answer:

48 drops

Step-by-step explanation:

you see that for every 8 drops of yellow there's 12 drops of red and there ends up being 32 drops of yellow and 32/8=4 so you take 12x4 to get how many drops of red.

Answer:

8.7

Step-by-step explanation:

Answer:

0.63043

Step-by-step explanation:

Given that :

Mean = 225

Standard deviation = 45

P(x > 210) : (x - mean) / standard deviation

P(x > 210) = (210 - 225) / 45

P(x > 210) = - 0.333

P(Z > - 0.333) = 0.63043 (Z probability calculator)

Answer:

7.07

Step-by-step explanation:

Find vertices D with desmos (it's 2,-4).

Use the distance formula or diagonal=a√2 (d=5√2)

Multiply them and get 7.07.

Since the vertices forms a square, all sides are the same length which is 5.

Also you bca kid rt?

The median of the data is 2 and total number of people participated is 13.

The earth day celebration this year. The line plot below shows the number of points of berries collected by the people participating in the contest.

median is the median is the middle value in the set.

number of frequencies are 2,2,1,2,3,1,2
arrange the frequencies in ascending order - 1,1,2,2,2,2,3
median = (n+1/2)th term

= 7+1/2
= 8/2=4th term is the median

median = 2
number of people participated is 13.

Thus,The median of the data is 2 and total number of people participated is 13.

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Answer:

Let the numbers be

[tex]x \: and \: 3x[/tex]

Then,

ATQ

[tex]3x - x = 26[/tex]

[tex]2x = 26[/tex]

[tex]x = 13[/tex]

[tex]3x = 39[/tex]

Answer:

$650

Step-by-step explanation:

Interest = amount of the loan x interest rate x time

Amount of the loan = price of the car - cash payment

$18,000 - $5,000 = $13,000

interest rate = 5%

time = 1 year

$13,000 x 0.05 x 1 = $650

Answer:

Corresponding angles: 6∠2

Alternate Exterior Angles: 2∠8

Alternate Interior Angles: 4∠6

Step-by-step explanation:

Hope this helped, Please mark me brainliest, thank you!

Answer:

10x+6

Step-by-step explanation:

simplify step-by-step.

−5x+3+15x+3

Combine Like Terms:

=−5x+3+15x+3

=(−5x+15x)+(3+3)

=10x+6

Answer:

A) 10x +6

Step-by-step explanation:

Add -5 and 15x.

Add 3 and 3

10x +6

Answer:

a) K3050 and b) K1150

Step-by-step explanation:

a) Add all his expenditures

i.e: K300+K150+K100

=K3050

b) Subtract the remaining of his spendings from the total

i.e: K4209 - K3050

=K1150

Answer:

A

Step-by-step explanation:

because the sky is blue

The length of AC after dilation will be 20. Then the measure of the angle ∠A' will be 37°.

We have given that,

AABC is dilated by a factor of 4 to produce AA'B'C'.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The triangle ΔABC is dilated by a factor of 4 to produce the triangle ΔA'B'C'.

Then the length of AC after dilation. We have

A'C' = scale factor x AC

A'C' = 4 x 5

A'C' = 20

Then the measure of the angle ∠A' will be

There is no effect of dilation on the angle.

∠A = ∠A' = 37°

Thus, the correct option is A.

More about the dilation link is given below.

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Answer:

I hope I didn't make mistakes, because I solved it without calculator

Step-by-step explanation:

[tex] \frac{5}{3} s + \frac{19}{15} = - \frac{3}{5} \\ \frac{5}{3} s = - \frac{3}{5} - \frac{19}{15} \\ \frac{5}{3} s = \frac{ - 9 - 19}{15} \\ \frac{5}{3} s = \frac{ - 28}{15} \\ s = - \frac{28}{15} \times \frac{3}{5} [/tex]

[tex]s = - \frac{28}{25} [/tex]

Answer:

120

Step-by-step explanation:

boys : girls

8 : 5

x : 75

to find x, take 75 and divide it by 5:

75 ÷ 5 = 15

(you do this to determine how you can go from 5 to 75)

take the qoutient and multiply it by 8:

15 × 8 = 180

Answer:

since the sum of interior angles of hexagon is 720 °

you add the known angles

ie 115 +90+145+160

you get 510

subtract it from 720

you get 210

divide 210 by 3

you get 70

angle cde is 140

Answer:

∠ CDE = 140°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let ∠ DEF be x then ∠ CDE = 2x

sum the interior angles and equate to 720

160 + 90 + 145 + 115 + 2x + x = 720 , that is

510 + 3x = 720 ( subtract 510 from both sides )

3x = 210 ( divide both sides by 3 )

x = 70

Then

∠ CDE = 2x = 2 × 70 = 140°

Answer:

16 inches

Step-by-step explanation:

The length of the side AC is 16 inches.

Since

we know that two side lengths of a triangle as x and y (x greater than y), the third side z should  satisfy the inequality

So, it can be like

x - y ≤ z ≤ x + y

Also,

The side lengths are x=17 and y=10,

So,

17 - 10 ≤ z ≤ 17 + 10

7 ≤ z ≤ 27

Therefore, the AC should be 16 inches.

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Answer:

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.

Hope it helps..

Have a great day : P

Answer:

A prism that has 3 rectangular faces and 2 parallel triangular bases, is a triangular prism (refer to the attached picture). This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.

This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.The surface area of a triangular prism is nothing but the amount of space on the outside.

This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.The surface area of a triangular prism is nothing but the amount of space on the outside.The Surface area of a triangular prism is given as:

[tex]ab \: + 3bh[/tex]

Answer:

8

Step-by-step explanation:

[tex]x = 4 \times 2 \\ x = 8[/tex]

Answer:

X=4x 2

x=8

I hope this help you

Thea are a of rectangle is base times the height of the rectangle

x + 83° = 180°

x = 180° - 83°

x = 97°

Answer: 6 feet and 10 inches

Step-by-step explanation:

Each foot has 12 inches in it

You can either divide 82 by 12 or

1 foot: 12 inches

2 foot: 24 inches

3 foot: 36 inches

4 foot: 48 inches

5 foot: 60 inches

6 foot: 72 inches

7 foot: 84 inches

Since 7 foot is too much you can now take 6 feet (72 inches) and subtract it from 82

82-72=10

10 meaning 10 inches

6 feet and 10 inches

You may also divide but you will get a decimal like this:

6.83333333

Unit conversion is a way of converting some common units into another without changing their real value. The length of the table cloth is 6 ft 10 inches.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

In terms of measurement, one foot is 12 inches.

1 ft = 12 inches

Given that the table cloth is 82 inches long. Therefore, the length in feet and inches are,

Length = 82 inches

            = 82 / 12 foot

            = 6 10/12 foot

            = 6 ft 10 inches

Hence, the length of the table cloth is 6 ft 10 inches.

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Answer:48

Step-by-step explanation:

Answer:

Step-by-step explanation:

An equation in point-slope form of the line that passes through the point (x₁,y₁) and has a slope of m:

y - y₁ = m(x - x₁)

m = -3

(5, 1)     ⇒       x₁ = 5,  y₁ = 1

Therefore:

y - 1 = -3(x - 5)