On her way to visit Horace Mann University, Casey stopped by Mount Rushmore in South Dakota. The park ranger gave a talk that described the history of the monument and provided some interesting facts. Casey could not believe that the carving of George Washington’s face is 60feet tall from his chin to the top of his head!
However, when a tourist asked about the length of Washington’s nose, the ranger was stumped! Casey came to her rescue by measuring, calculating and getting an answer.
How did Casey get an answer?

Answer:

3/2

Step-by-step explanation:

Given y = 2x + 5, let's rewrite the equation in terms of x;

y = 2x + 5 => Bring 5 to the other side

2x = y - 5 => Divide either side by 2

x = (y - 5)/2

If we want to take the inverse, simply swap the variable's positions...

We have y = (x - 5)/2

Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1

f^-1(8) = (8 - 5)/2 = 3/2

Solution: 3/2

Answer: 12.9

Step-by-step explanation:

5.1 + 2 + 5.8 = 12.9

The perimeter of the triangle ABC is 12.9 units.

The perimeter of a triangle is the sum of length of three sides of the triangle.

Given, the triangle ABC is rotated by 135 degrees about point S to create the triangle A'B'C'.

We know, after rotation of a figure, the whole dimension of the figure remains the same.

Therefore, AB = A'B' = 5.1 units

BC = B'C' = 2 units

CA = C'A' = 5.8 units

Hence, the perimeter of the triangle ABC

= (5.1 + 2 + 5.8) units

= 12.9 units

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Answer: A) -1

Step-by-step explanation: Parallel slopes are always the same, therefore a slope that is -1 is parallel to another slope that is equal to -1.

Answer:

supplementary angles

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

From the question, we are informed that a basketball team played six games and that in those games, the team won by 9 points, lost by 18, won by 8, won by 11, lost by 3, and won by 5.

Thee mean difference in game scores over the six games will be calculated as the summation of the scores divided by 6. This. Will be:

= [9 + (-18) + 8 + 11 + (-3) + 5]/6

= 12/6

= 2

The mean difference in game scores over the six

games is; 2

We are given the points by which a basketball team either won or lost 6 games.

- Won by 9 points = +9

- Lost by 18 points = -18

- Won by 8 points = +8

- Won by 11 points = +11

- Lost by 3 points = -3

- Won by 5 points = +5

Thus;

Mean difference of the 6 games is;

(+9 - 18 + 8 + 11 - 3 + 5)/6

>> 12/6

>> 2

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Answer:

35 students total

Step-by-step explanation:

if there is 20 girls and 3 boys for every 4 girls, all you need to do is 20/4=5, then do 5*3=15, there is 15 boys and 20 girls, so do 15+20=35, or at least i think

Answer:

2,032.02 inches cubed of litter

Step-by-step explanation:

You have to multiply all of the numbers to find the area

Answer:

5

Step-by-step explanation:

Answer: D

Step-by-step explanation:

it equals 15/12

Answer:

The answer is d :)

Step-by-step explanation:

5 + 4 + 3 + 2 +1 = 15

so D would equal 15/12

Answer:

y = -2(4) -3

Step-by-step explanation:

y = mx + b

m in the equation means slope

x in the equation means x intercept

b in the equation means y intercept

y = -2(4) -3

plz mark brainliest if helpful

Answer:

Graph B is not a function, because the graph intersects the vertical  line more than one.

Step-by-step explanation:

Answer:

it was B

Step-by-step explanation:

cause i smart

Answer:

B

Step-by-step explanation:

Just took the test

Answer:

I'm pretty sure its 3/2

Step-by-step explanation:

if the rest of the sides are 3/2, and all of the angles are the same, then the other side is the same ratio, since the triangles are similar

example of absolute value

F( x )=| x |

Step-by-step explanation:

In mathematics, the absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x if x is positive, and |x| = −x if x is negative (in which case −x is positive), and |0| = 0. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.

Step-by-step explanation:

The numbers between the squares are the possible answers.

For example, 2/3 ÷ 3/4 is either 1/2 or 8/9.

2/3 ÷ 3/4

2/3 × 4/3

8/9

The answer is 8/9, so you'll move up to the next square.

Answer:

x=10

Step-by-step explanation:

5x-6=44

Add 6 to each side

5x-6+6 = 44+6

5x = 50

Divide by 5

5x/5 = 50/5

x=10

Answer:

big brain time

Step-by-step explanation:

2.2

dont quote me, im 2.

Answer:

G. The slope of the function in the table is the opposite of the slope of the function in the graph.

Step-by-step explanation:

Let's calculate the the slope of the function represented by values on a table and also the function represented on a graph.

Slope of the function represented by the table:

Use any two pairs. Let's use (1, 1) and (2, 4).

[tex] slope(m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{2 - 1} = \frac{3}{1} = 3 [/tex]

The slope of the linear function represented by the table of values is 3.

Slope of the function represented by the graph:

Use any the coordinates of any two points on the line graph. Let's use (0, 4) and (1, 1).

[tex] slope(m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 4}{1 - 0} = \frac{-3}{1} = -3 [/tex]

Therefore, the statement that is correct is:

"G. The slope of the function in the table is the opposite of the slope of the function in the graph."

3 is the opposite of -3.

Answer:

-4 < N < 6

Step-by-step explanation:

Given problem:

      Compound inequality to represent all of the numbers between  -4 and 6

Solution:

Problems with inequality gives a range of values for the solution:

      let the numbers between these extremes  = N

The inequality is;

                -4 < N < 6

Where N is a real number

Answer:

False.......................

Step-by-step explanation:

Please mark as brainlist answers

Answer:

21 + 5x = 36 or  5x + 21 = 36

Step-by-step explanation:

4(3) + 2(2) + 5(1) + 5x = 36

21 + 5x = 36

Answer:

Step-by-step explanation:

[tex]3\div\frac19=3\times\frac91=3\times9=27[/tex]

Answer:

4/5

Step-by-step explanation:

step 1: Divide 1/150 by 1/120. (You should get 0.8)

step 2: convert 0.8 into a fraction over 10. (8/10)

step 3: simplify that fraction by dividing 8/10 by 2, which will give you your final answer, 4/5.

The required square miles that Xavier mow 4 / 5. Option B is correct.

Given that,
For every 1/150 square mile Xavier mows, Boa mows 1/120square miles, how many square miles does Xavier mow for every 1 square mile is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Ration of Xavier to Boa = 1 / 150  /  1 / 120
                                       = 120 / 150
                                       = 12 / 15
                                        = 4 / 5

Thus,  the required square miles that Xavier mow 4 / 5. Option B is correct.

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Answer:

192 glasses of water

Step-by-step explanation:

32 : 1/6 =

32 * 6/1 =

192 glasses of water

Edited[36 * 6/1] to [32 * 6/1 ]

Answer:

True

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

(x, y) = (0, __) ⇒ x=0

y = 2(x - 5)² + 4

y = 2(0 - 5)² + 4

y = 2×25 + 4

y = 50 + 4

y = 54  ⇒  (0, 54)

Where is the graph I need to see the graph for the answer

Answer:

72 grams of tea leaves.

Step-by-step explanation:

288/24=12

12*6=72

Answer:

y= 17x/7 - 87/7

The answer would be C is the slope is positive so I'm assuming it's a typo

Step-by-step explanation:

1.) When a slope is perpendicular that means that you do an opposite reciprocal so -7/17 turns into 17/7

2.) Use point slope form and solve for y

y-y1= m(x-x1)

y-7= 17/7 (x-8)

y-7= 17x/7 - 136/7

y= 17x/7 - 87/7