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kondor19780726 [428]
2 years ago
12

Check-Ins 2 NC Math 1

Mathematics
1 answer:
fomenos2 years ago
5 0

The maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,

<h3>How to determine the difference?</h3>

The function is given as:

f(x) = -0.5x^2 + 5x - 6

Differentiate the function

f'(x) = -x + 5

Set to 0

-x + 5 = 0

Make x the subject

x = 5

Substitute x = 5 in f(x)

f(5) = -0.5 * 5^2 + 5 * 5 - 6

f(5) = 6.5

The table is not given.

Hence, the maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,

Read more about quadratic functions at:

brainly.com/question/18797214

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How much longer is the hypotenuse of the triangle than its shorter leg?
RUDIKE [14]

This is an incomplete question, here is a complete question and image is also attached below.

How much longer is the hypotenuse of the triangle than its shorter leg?

a. 2 ft

b. 4 ft

c. 8 ft

d. 10 ft

Answer : The correct option is, (b) 4 ft

Step-by-step explanation:

Using Pythagoras theorem in ΔACB :

(Hypotenuse)^2=(Perpendicular)^2+(Base)^2

(AB)^2=(AC)^2+(BC)^2

Given:

Side AC = 6 ft

Side BC = 8 ft

Now put all the values in the above expression, we get the value of side AB.

(AB)^2=(6)^2+(8)^2

AB=\sqrt{(6)^2+(8)^2}

AB=10ft

Now we have to calculate the how much longer is the hypotenuse of the triangle than its shorter leg.

Difference = Side AB - Side AC

Difference = 10 ft - 6 ft

Difference = 4 ft

Therefore, the 4 ft longer is the hypotenuse of the triangle than its shorter leg.

5 0
3 years ago
Read 3 more answers
If an atom has a radius of 65pm, what is its circumference
SOVA2 [1]
To calculate circumference, you must use the equation (65)(2)(Pi) which would be 408.2pm. (IF YOU COUNT PI AS 3.14)
3 0
3 years ago
5. The point (-7, 4) is reflected over the line x = -3. Then,
Genrish500 [490]

Answer:

(4,1)

Step-by-step explanation:

Reflected over x = -3, new point : (1,4)

Reflected over y=x, new point = (4,1)

6 0
3 years ago
If m&lt;7 is 2x + 30 and m&lt;28 is 3x - 10, find the<br> following:
topjm [15]

Answer:

x = 32

m∠7 = 94

m∠8 = 86

m∠3 = 94

Step-by-step explanation:

(2x + 30) + (3x - 10) = 180

5x + 20 = 180

5x = 160

x = 32

m∠7 = 2(32) + 30 = 94

m∠8 = 3(32) - 10 = 86

<u>or</u>

m∠8 = 180 - 94 = 86

<u>m∠3 ≈ m∠7</u> (corresponding angles)

3 0
3 years ago
Which of the following are ordered pairs for the equation y = 1/8x + 11
Anna11 [10]

Answer:

(0, 11) is a solution.

(8, 12)  is a solution.

(16, 13) is a solution

(1, 89/8)  

(2,  45/4)

Step-by-step explanation:

y = 1/8x + 11

for this equation....

y = (1/8) x + 11

let x = 0  get

y = 0 + 11 = 11

(0, 11) is a solution.

(8, 12)  is a solution.

(16, 13) is a solution

(1, 89/8)   because    y = 1/8 + 11 = 1/8 + 88/8 = 89/8

(2,  45/4)

3 0
3 years ago
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