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Step-by-step explanation:

T  |  0   |   1    |  2   |  3   |

C  | 24  |  21  |  18  |  15  |

Rule:

To find a rule, we need to find 2 things- what T is multiplied by and what is added.

To find what it is multiplied, we need to see the increase or decrease in C for every T. In this equation, there is a decrease of 3, so we multiply T by -3.

To find what is added, we go to 0 T and find the corresponding number. When T is 0, C is 24 so we add 24.

We write a rule as:  y = mx + c, or in this case, c = mt + a

So the rule is c = -3x + 24

Use rounding to get -6(0.2), and then multiply.

Use compatible numbers, such as -6(0.5), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Estimate -6.1(0.22)

Answer:

Use rounding to get -6(0.2), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Round the factors to the nearest whole number, and then multiply.

Step-by-step explanation:

Actual answer:

-6.1(0.22) = -1.342

Estimate answer:

-6 (.2) = 1.2

Answer:

A B D

Step-by-step explanation:

Answer:

Yes. 34.79 is a rational number because it can be written as a fraction.

Step-by-step explanation:

Hoped this helped.

Answer: y = -66x + 201

Step-by-step explanation:

A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.

In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.

Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.

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Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation: Hope it helps!!!!

The correct value of ''n'' in this equation will be -9

In order to find the value of ''n'' in this equation of the first degree, just isolate ''n'', and divide the right side into the left side of the equation:

[tex]\large \sf 4n= -36[/tex]

[tex]\large \sf n= -36\div4[/tex]

[tex]\large \sf n= \dfrac{-36}{4}[/tex]

[tex]\boxed{\boxed{{\large \sf n=-9}}}[/tex]

So we can conclude that the value of ''n'' in this equation will be -9

Answer:

20

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] = 40

[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]

40 ÷ [tex]\frac{2}{1}[/tex] = 20

Answer:

2nd option is correct

.........................

Answer:

1 1/9 ft^3

Step-by-step explanation:

5/3*1*2/3=10/9*1=10/9

10/9=1 1/9

Answer:

10 times

Step-by-step explanation:

The 8 in 1,857 is in the hundreds place and the 8 in 3,083 is in the tens place.

Answer:

first one is -3/4a^3b^2

Step-by-step explanation:

i dont know the second one and i need help on that one too im sorry

The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

the expression are;

1. - 27/64 a⁹b⁶

2. - 0.001 a³n³ⁿ⁺³

Now,

Solve the expression as;

1. - 27/64 a⁹b⁶

Take cube root, we get;

∛- 27/64 a⁹b⁶ = ∛ - 3 × - 3 × - 3/4×4×4 a³a³a³ b²b²b²

                     = - 3/4 a³b²

And,  - 0.001 a³n³ⁿ⁺³

∛ - 0.001 a³n³ⁿ⁺³ = ∛-0.1×0.1×0.1 aⁿ⁺¹ aⁿ⁺¹ aⁿ⁺¹

                         = - 0.1 aⁿ⁺¹

Thus, The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

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Answer:

$31.92

Step-by-step explanation:

28.50 x .12 = 3.42

3.42 + 28.50 = $31.92

The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.

Let’s set up a proportion. We can substitute the amounts we know into the proportion.  

Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.  

Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.

Answer:Answered 2 years ago. The total of the sum of the measures of any triangle has been proven to be 180 degrees. If the ratio of angle measure is 1:3:6.

Step-by-step explanation:

Answer:

1: 18 3: 54 6: 108

Step-by-step explanation:

A triangle has 180 degrees.

You need to add up all the ratios 1+3+6

Then divide that by 180----> 180/10=18

Then multiply all the ratios by but answer(18)

1*18=18

3*18=54

6*18=108

Answer:

x-12

Step-by-step explanation:

let us say that the other number is n. then we have n+12=x or n=12-x

Answer:  33 gallons

Step-by-step explanation:

The water tank is a cube, with one dimension of x meters. Its volume will be x^3.

X^3 = 729m^3

x = 9 meters.  The cube has 4 side walls and a top and bottom, for a total of 6 interior walls.  Each wall has an area of x^2, or 81 m^2.

(6 walls)*(81 ft^2) = 486 m^2

One gallon of paint will cover 15 m^2.  The conversion factor is (1 gallon/15 m^2)

(486 m^2)*(1 gallon/15 m^2) = 32.4 gallons, rounded up to 33 gallons

Answer:

The right answer is 32

Step-by-step explanation:

3/4 × 32 = 24

Answer:

18

Step-by-step explanation:

divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18

Answer:

$ 68 $ 58

Step-by-step explanation:

I'm not sure answer is $ 68 $ 58

Answer:

x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}

Step-by-step explanation:

(x-50)^2 is x^2+2500-100x*.0048 is .0048x. 2500*0.0048 is 12, and -100*0.0048=-.48.

So, we have .0048x^2+12-.48x+6, which is

.0048x^2+18-.48x=10. USing the quadratic formula, we get

x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}

(Enter into symbolab.com to see theanswer)

Since the question doesnt give the amount of players on the team we can just say that each player was given 548/p dollars.

Answer:

$243

Step-by-step explanation:

Answer:

_16,-13,-9,0

Step-by-step explanation:

hope this helps u out!!

Answer:

B and D

Step-by-step explanation

Answer:

D

Step-by-step explanation:

Answer:

The surface area of the given triangular prism = 920 square cm.

In the given triangular prism

S1 = 25 cm

S2 = 25 cm

S3 = 14 cm = base

Height = 24 cm

length = 10 cm

Perimeter = S1 + S2+ S3

                 = 25+25+14

                 = 64 cm

Area of base =  length x base

                      = 10x14

                       = 140 square cm

Since we know that,

Surface area of triangular prism = (Perimeter × Length) + (2 × Base Area)

                                                     = (64x10) + 2x140

                                                     = 640 + 280

                                                     = 920 square cm

Hence,

The required surface area =  920 square cm.

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Answer:

A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F

B) [tex]f(x)=-0.4x+88[/tex]

Step-by-step explanation:

A)

In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.

So we have:

x = minutes after the air conditioner started to cool the house

f(x) = temperature

Here we want to find what is the meaning of

[tex]f(30)=76[/tex]

Which implies that:

[tex]x=30[/tex], which means that 30 minutes have passed after the conditioner has started to cool the house

[tex]f(x)=76[/tex], which means that the temperature of the room at that time is 76°F

So, the interpretation of f(30) =76 is that:

"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"

B)

Here we want to write explicitly a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.

We know the following information:

- At time x = 0, the temperature inside the house is 88°F

- At time x = 30 min, the temperature inside the house is 76°F

We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:

[tex]f(x)=mx+q[/tex]

where

[tex]q[/tex] is the value of the temperature at x = 0, so q = 88

m is the rate of change of the temperature

The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:

[tex]m=\frac{76-88}{30-0} =-0.4[/tex]

which means that the temperature decreases by 0.4°F every minute. So, the function can be written as

[tex]f(x)=-0.4x+88[/tex]

Answer:

3.0233088 x 10 raise to power 7

Answer:

Line 1 : y = -2x - 5

Line 2 : y = -3x + 3

Step-by-step explanation:

note the slope, and then note the y intercept

Answer:

y = - 2x - 5 and y = - 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = - 2, - 1) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line

m = [tex]\frac{-5-(-1)}{0-(-2)}[/tex] = [tex]\frac{x- 5+1}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = - 2x - 5 ← equation of line 1

Repeat with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 0) ← 2 points on line 2

m = [tex]\frac{0-3}{1-0}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 3x + 3 ← equation of Line 2

Answer:

Step-by-step explanation:

(a) 2x + 4 (x - 1) = 2 + 4x

 2x +4x - 4 = 2 + 4x

 6x -4 = 2 + 4x

 2x = 6

   x = 3  One solution

(b) 25 - x = 15 - (3x + 10)

 25 - x = 15 - 3x - 10

2x = 15 - 25 - 10

2x = -20

 x = -10  One solution

(c) 4x = 2x + 2x + 5 (x - x)

 4x = 4x + 5x - 5x

  0 = 0

No solutions

Answer:

11/20

Step-by-step explanation: