The nth term of a number sequence is 7nFind the first three terms.

Answer:

-9. 125

Step-by-step explanation:

.

Answer:

  1024

Step-by-step explanation:

1 division: 2

2 divisions: 2×2 = 4

3 divisions: 2×(2×2) = 8

The number of viruses is 2^n, where n is the number of divisions.

After 10 divisions, there are 2^10 = 1024 viruses.

Answer:

33 7/9

Step-by-step explanation:

Therefore, the answer is 33 7/9.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

I'm pretty sure 10% of 82 is 8.2 and 60% of 82 is 49.2

If I'm wrong I'm sorry.......

Step-by-step explanation: I hope you have/had an amazing day<3

Answer:

p = 11.75 - 2 = 9.75

Explanation:

2 + 9.75 = 11.75, which was the original length of the plank, therefore:

11.75 - 2 = the correct and current length of the plank

Answer:

0.064

Step-by-step explanation:

  25000(1-0.8)^8

= 25000(0.2)^8

= 0.064

Answer:

Step-by-step explanation:

0.064

Answer:

16

Step-by-step explanation:

Total length=3.2mile

Trashcans length=0.2mile

3.2 / 0.2 =16

Answer:

m∠C = 107°

Step-by-step explanation:

there are 4 sides so we first need to find the total interior angle:

m∠C = 360° - 90° - 90° - 73°

         = 107°

Answer:

Step-by-step explanation:

Equation: 82.5 + 2x = 338.5

--------------------------------------------------

2x ÷ _2__ = 256 ÷ _2__

x = _128__

Answer:

x ≤ 1 and x ≥ −15

Step-by-step explanation:

Solving Absolute Value

Condition 1:

Step 1: Subtract 7 from both sides.

Condition 2:

Step 1: Subtract 7 from both sides.

Therefore, the answer is x ≤ 1 and x ≥ -15.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

21 pints

Step-by-step explanation:

In the paint, the ratio of yellow to blue is 7:3

7:3

x : 9

To find maintain the equivalent ratio and find x, we multiplied both sides of 7:3 by 3

21 : 9

The answer should be 21 pints

Hope this helps :)

Have an awesome day!

for a triangular prism, that'd be the area of its traigular face times its length, let's notice that this one if we have it sitting on its 3cm side, it has a height of 4 and a base of 3, so

[tex]\stackrel{\textit{area of its triangle}}{\cfrac{1}{2}(3)(4)}\times \stackrel{length}{10}\implies 60[/tex]

Answer:

7:10

Step-by-step explanation:

1) to determine the equation of the line with the given points (-2;3) and (4;5):

[tex]\frac{x+2}{4+2} =\frac{y-3}{5-3}; \ => \ \frac{x+2}{3} =\frac{y-3}{1}; \ <=> \ x-3y=-11.[/tex]

2) to calculate the coordinates of intersection point:

[tex]\left \{ {{4x+5y=21} \atop {x-3y=-11}} \right. \ <=> \ \left \{ {{y=\frac{65}{17}} \atop {x=\frac{8}{17}}} \right.[/tex]

3) to calculate the required ratio:

[tex]\frac{d_1}{d_2}=\frac{\sqrt{(-2-\frac{8}{17} )^2+(3-\frac{65}{17} )^2}}{\sqrt{(4-\frac{8}{17} )^2+(5-\frac{65}{17} )^2}}=\frac{7}{10}.[/tex]

Answer:

length = 20 inches

width = 10 inches

Step-by-step explanation:

Perimeter = twice the length plus twice the width

60 = 2(2x) + 2(x)

60 = 4x + 2x

60 = 6x

x = 10

2x = 20

Answer:

length = 20 inches

width = 10 inches

Step-by-step explanation:

Perimeter = twice the length plus twice the width

60 = 2(2x) + 2(x)

60 = 4x + 2x

60 = 6x

x = 10

2x = 20

Scale factor is the ratio of representation measurement of the figure to the original figures.

The actual dimensions of the kitchen is 12 ft by 14 ft.

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

Given information-

Dimensions of the balcony of the apartment is 4 ft by 7 ft or 48 in by 84 in (multiplying it by 12 to convert in inches).

Dimensions of the balcony of the apartment is 0.8 ft by 1.4 in on the scale of drawing.

Dimensions of the kitchen is 2.4 inches by 2.8 inches on the scale of drawing.

The scale factor of the width of the balcony is the ratio of scale dimension of width and the actual dimension of the width . Thus,

[tex]r=\dfrac{0.8}{48} \\r=\dfrac{1}{60}[/tex]

The scale factor of the length of the balcony is the ratio of scale dimension of length and the actual dimension of the length . Thus,

[tex]r=\dfrac{1.4}{84} \\r=\dfrac{1}{60}[/tex]

Thus the scale factor of the length and width of the scale is same which is 1/60.

As the scale is same for the balcony and the kitchen. Thus the scale factor would also be same.

The scale factor of the width of the  kitchen is the ratio of scale dimension of width and the actual dimension of the width .

Let the width of the kitchen is x in.Thus

[tex]\dfrac{1}{60}=\dfrac{2.4}{x} \\x=144\rm in[/tex]

Thus the width of the kitchen is 144 in or 12 ft.

The scale factor of the length of the  kitchen is the ratio of scale dimension of length and the actual dimension of the length .

Let the length of the kitchen is y in. Thus

[tex]\dfrac{1}{60}=\dfrac{2.8}{y} \\y=168\rm in[/tex]

Thus the length of the kitchen is 168 in or 14 ft.

Hence, the actual dimensions of the kitchen is 12 ft by 14 ft.

Learn more about the scale factor here;

https://brainly.com/question/10253650

The solution to the given inequality is x ≥ 6

Given the inequality expression

Subtract 2 from both sides

2 - 3x -2 ≤ - 16 - 2

-3x ≤ - 18

Divide both sides by -3

-3x/-3  ≥ - 18/-3

x ≥ 6

Hence the solution to the given inequality is x ≥ 6

Learn more on inequality here: https://brainly.com/question/24372553

Answer:

35h + 85 = 225

Step-by-step explanation:

Since the shop charges $35 per hour, multiply h by 35 like this: 35h

$85 is already added on top of that, so add 85 to it like this: 35h + 85

All of this has to equal 225 since Amelia paid $225

35h + 85 = 225

Answer:

The minimum is y=-5. The max would be y=1

Step-by-step explanation:

because y=5  and the max would be y=1

Answer:

its -4

Step-by-step explanation:

i took the test :)

Answer:

c brainliest

Step-by-step explanation:

Answer:

y=3/2x+2

Step-by-step explanation:

y=slope*x+y intercept, slope=Rise/run, slope=3/2 y intercept= x=0 y=2

Answer:

155

Step-by-step explanation:

11+11*12+12=155

Answer:

46

Step-by-step explanation:

the formula is 2(l+w)

Answer:

55 degrees

Step-by-step explanation:

angle adds up to 360. your equation would be 360 = 2(125) + 2(angleN)

Answer:

m = 903

Step-by-step explanation:

99+m=1002

Subtract 99 from both sides.

m=1002−99

Subtract 99 from 1002 to get 903.

m=903

Answer:

M=903 pls mark brainliest(little crown)

Step-by-step explanation:

Subtract 99 from both sides.

m=1002−99

Subtract 99 from 1002 to get 903.

m=903

Answer:

70 tables

Step-by-step explanation:

5 table=10%

Answer:

8.6

Step-by-step explanation:

5.16 x 10 = 51.6 , 0.6 x 10 = 6,      6  divided by 51.6 = 8.6

Answer:

5.16 ÷ 0.6 = 8.6 Its easier in the algorithm way

I believe the answer would be A

The inverse of the function for square feet, gives the area in square yard

from which the cost of the flooring is calculated as $539.7.

Response:

a. The inverse [tex]\underline{f^{-1}(x) = \dfrac{x}{9}}[/tex] can be used by the Clearys to calculate the cost if the flooring.

b. $539.7

Given:

The dimensions of the flooring = 15 foot by 18 foot

Cost of the new flooring =  $17.99/yd.²

The formula that converts square yards to square feet is f(x) ≈ 9·x

a. The inverse function gives the x-values as an output from an input of

the y-value.

The inverse of the function, f⁻¹(x), is the function that converts square

feet to square yards, which is given as follows;

The significance of f⁻¹(x) for the Clearys is that it gives the number of

square yards required for the flooring from the square feet, from which

the cost of the flooring can be calculated.

b. The cost of the new flooring is therefore;

[tex]Cost = \$17.99/yd.^2 \times f^{-1}(x) = \$17.99/yd.^2 \times \dfrac{15 \, ft. \times 18 \, ft. }{9} = \mathbf{\$539.7}[/tex]

Learn more about inverse functions here:

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ATQ

[tex]\\ \tt\hookrightarrow 12+2.5r=95.75[/tex]

[tex]\\ \tt\hookrightarrow 2.5r=95.75-12=83.75[/tex]

[tex]\\ \tt\hookrightarrow r=83.75/2.5[/tex]

[tex]\\ \tt\hookrightarrow r=33.5[/tex]

Answer: 2.5

Step-by-step explanation: you have to find the unit rate so you want to know what the constant rate is which if you divide 5 by 2 you get 2.5 and if you multiply 2.5 times 2 you get 5