Find the percent increase from 15 to 18

Answer:

For a function f(x) = y.

The independent variable is the one that we chose to input in the function, in this case, is x, and the dependent variable is the variable that changes in response to the independent variable, in this case, is y.

In this problem we have:

"Sammy has $180 in her savings account and plans to deposit $20 each month."

We can define:

y = money in her savings account

x = number of months that have been passed since she started saving.

Originally, she has $180, and she saves $20 per month, so if x months have been passed, the total amount of money in her savings account is:

y = f(x) = $180 + $20*x

Now we want to know if this function is continuous or discrete, to see this we need to look at the possible values of x.

x represents the number of months that have been passed, then the values that x can take are:

x = 0, 1, 2, 3, 4, ...

So x can only take the values of positive integers, this means that the domain of x is discrete, then the function f(x) is a discrete function.

Answer:

C) It is one-half the area of a rectangle of length 4 units and width 5 units.

The total area of the triangle is 10, which we get by multiplying the height (5) times the base (4), which will be 20, and then dividing by 2, which is 10!

Given this information, we can start eliminating answers.

A) It is twice the area of a rectangle of length 4 units and width 5 units. This is answer is wrong, as the area of a rectangle with a length of 4, and a width of 5, is 20. Meaning that in order for this to be true, the area of the rectangle must be 40, which it is not.

B) It is one-half the area of a rectangle of length 4 units and width 5 units.

This is answer is right, as the area of a rectangle with a length of 4, and a width of 5, is 20, and half of that would be 10, which is half of the area of the triangle!

C) It is twice the area of a square of side length 5 units.

This answer is also wrong because the area of a square with side lengths of 5 would be 25, which is not half of the area of the triangle. In order for this to be true, the area of the rectangle must be 50, which it is not.

D) It is one-half the area of a square of side length 5 units.

This answer is wrong because the area of a square with side lengths of 5, would be 25, which is not twice the the area of the triangle. In order for this to be true, the area of the rectangle must be 12.5, which it is not.

Answer:

-10 gal/h

Step-by-step explanation:

   Rate of change for the number of gallons of fuel remaining and the number of hours the truck has driven is (-10) gallons per hour.

 Option (2) will be be the answer.

  Average rate of change of a function is given by the expression,

Average rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Two points are (0, 200) and (2.5, 175),

Average rate of change = [tex]\frac{175-200}{2.5-0}[/tex]

                                        = [tex]-\frac{25}{2.5}[/tex]

                                        = -10 gallons per hour

  Therefore, average rate of change for the given table will be Option 2. (-10) gallons per hour.                  

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Answer:

In 2008.

Step-by-step explanation:

The function:

[tex]y=4.2\sqrt{0.28x-1}[/tex]

Models the annual number of visitors to an amusement park, where y is the number of visitors (in millions) and x is the number of years since 1975.

We want to determine the first year in which the amusement park had 12 million visitors.

So, we will set y equal to 12 and solve for x. This yields:

[tex]12=4.2\sqrt{0.28x-1}[/tex]

By dividing both sides by 4.2, we acquire:

[tex]\displaystyle \frac{12}{4.2}=\frac{120}{42}=\frac{20}{7}=\sqrt{0.28x-1}[/tex]

And by squaring both sides:

[tex]\displaystyle \frac{400}{49}=0.28x-1[/tex]

Adding 1 to both sides produces:

[tex]\displaystyle \frac{400}{49}+1=\frac{449}{49}=0.28x[/tex]

And finally, dividing both sides by 0.28 gives us the approximation:

[tex]\displaystyle x=\frac{449}{49}\cdot \frac{1}{.28}=\frac{11225}{343}\approx32.72\approx33[/tex]

So, 33 years after 1975, the amusement park will have 12 million annual visitors.

Therefore, the first year in which the amusement park will have 12 million annual visitors is in the year 2008.

Answer:

this angle is a right angle(90°)

and one of the 2 angles is 30

3x+30=90

3x=90-30

3x=60

x=20

==> B

Answer::> ah free points wonderful-

Answer:

value of y in triangle is D. 36° okay

Answer:

3people/minute

Step-by-step explanation:

75/25=3

Answer:

1 1/3 - miles per hour.

Step-by-step explanation:

(1/3) / (1/4) =

(1/3) x (4/1) =

4/3 = 1 1/3

Answer:

negative trend because the values are decreasing

Answer:

f(1) = 1

Step-by-step explanation:

To go 1 on the x-axis and check to see where it is on the y-axis. In this case, when x = 1, y = 1.

Therefore, f(1) = 1.

Answer:

a3=15 , n=3

a8=0, n=8

a5 = ?

an = a1+ (n-1)d

a3 = a1 + (3-1) d

a3=a1+2d

and a8 = a1 + (8-1 )d

a8= a1+ 7d

15 = a1 + 2 d-------1

0= a1 +7 d----------2

substacting eq 2 from eq 1

15= - 5d

- 5d = 15

divide by - 5

d = -3

putting the value of d in eq 1

15 = a1 + 7 (-3)

15 = a1 -21

adding 21 on both sides

a1-21+21= 15+21

a1 = 36

a5 = ?, n=5, d= -3, a1=36

a5 = 36 + (5-1) (-3)

= 36+(4)(-3)

= 36-12

= 24

Answer:

B. 21.2 units

Step-by-step explanation:

10.6 x 2 = 21.2

Answer:

This is a vertical line; there is no change in the x coordinate value; and since the slope is defined to be change in y any attempt to corresponding change in x evaluate the slope would result in an attempt ot divide by zero.

Step-by-step explanation:

There your answer hope it helps.

Answer:

1 7/12

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

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

64  because its real :)

Answer:

C. 90

Step-by-step explanation:

I think this is right lol idrk

Answer:

a

Step-by-step explanation:

here

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Answer: a class project. Elise's slideshow starts with a verbal introduction that is 14 sec… ... Elise's slideshow starts with a verbal introduction that is 14 seconds long, and then each slide is left up for 4 seconds. Kenji leaves each slide onscreen for 7 seconds, and his introduction lasts 5 seconds. Elise and Kenji ...

Step-by-step explanation: Elise's slideshow starts with a verbal introduction that is 14 seconds long, and then each slide is left up for 4 seconds. Kenji leaves each slide onscreen for 7 seconds, and his introduction lasts 5 seconds. Elise and Kenji notice that their ... slides and the same duration. How long is each presentation? How

Answer:

A

Step-by-step explanation:

Multiply:

[tex](\frac{5}{5+\sqrt{10x} } )(\frac{5+\sqrt{10x} }{5+\sqrt{10x} } )[/tex]

Simplify:

[tex]\frac{5(5-\sqrt{10x}) }{(5+\sqrt{10x})(5-\sqrt{10x} ) }[/tex]

Factor:

[tex]\frac{5(5-\sqrt{10x}) }{25-10x}[/tex]

Reduce:

[tex]\frac{5(5-\sqrt{10x}) }{5(5-2x)}[/tex]

Solution:

[tex]\frac{5-\sqrt{10x} }{5-2x}[/tex]

Answer:

9 cups of batter

Step-by-step explanation:

laquisha uses two cups of milk for every three cups of pancake batter to make about 20 pancakes. Which ratio could she solve to find the number of cups of pancake batter, x ,needed if she uses 6 cups of milk

The ratio is given as:

2 cups of milk = 3 cups of batter

6 cups of milk = x

x = 6 × 3/2

x = 9 cups of batter

you got an equation or a pic?

Answer:

[tex] 2 \frac{3}{5} [/tex]

Step-by-step explanation:

13 = 5 + 5 + 3

[tex] \dfrac{13}{5} = [/tex]

[tex] = \dfrac{5 + 5 + 3}{5} [/tex]

[tex] = \dfrac{5}{5} + \dfrac{5}{5} + \dfrac{3}{5} [/tex]

[tex] = 1 + 1 + \dfrac{3}{5} [/tex]

[tex] = 2 \frac{3}{5} [/tex]

Answer:

[tex]2\frac{3}{5}[/tex]

The fraction consists of two numbers and a fraction bar: 13/5 The number above the bar is called numerator: 13 The number below the bar is called denominator: 5 The fraction bar means that the two numbers are dividing themselves. To get fraction's value divide the numerator by the denominator: Value = 13 ÷ 5

To calculate the greatest common factor, GCF: 1. Build the prime factorizations of the numerator and denominator. 2. Multiply all the common prime factors, by the lowest exponents. Factor both the numerator and denominator, break them down to prime factors: Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 13 is a prime number, it cannot be factored into other prime factors; 5 is a prime number, it cannot be factored into other prime factors; * Positive integers that are only dividing by themselves and 1 are called prime numbers. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself. Multiply all the common prime factors, by the lowest exponents. But, the numerator and denominator have no common factors. gcf (13; 5) = 1Fraction 13/5 is a positive improper fraction (numerator > denominator).Mixed number = a whole number and a proper fraction, of the same sign. Proper fraction = numerator smaller than denominator.

13 ÷ 5 = 2 and remainder = 3 =>

13 = 2 × 5 + 3 =>

13/5 =

(2 × 5 + 3) / 5 =

2 + 3/5 =

2 3/5

Answer: why do you have so many files

Step-by-step explanation: plz tell me lol

Answer:

b and e

Step-by-step explanation:

Answer:

2 and 5 or B and E

Step-by-step explanation:

on edge

Step-by-step explanation:

30% of lightbulbs = 45 lightbulbs

100% of lightbulbs

= 45 * (100/30) = 150 lightbulbs.

Hence there are 150 lightbulbs in the batch.