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Sveta_85 [38]
3 years ago
13

Find each function value.

Mathematics
1 answer:
Levart [38]3 years ago
5 0

Put the values of x to the equations of the functions:

1. f(9) → x = 9; f(x) = -3x + 10

f(9) = -3(9) + 10 = -27 + 10 = -17

2. f(-2) → x = -2; f(x) = 4x - 1

f(-2) = 4(-2) - 1 = -8 - 1 = -9

3. f(-5) → x = -5; f(x) = -2x + 8

f(-5) = -2(-5) + 8 = 10 + 8 = 18

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The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Ni
Yanka [14]

The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

<h3>How to interpret Cycle Graphs?</h3>

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

⇒ (3.084, 3.666)

Read more about Cycle Graphs at; brainly.com/question/24461724

#SPJ1

4 0
2 years ago
Mr. Nelson lost one of his students' test
amid [387]

Complete question :

Mr. Nelson lost one of his students' test papers. He knows that the other 4 students scored as follows: 60, 62, 56, 57. He also knows that the average score is 59.2. What is the score on the missing paper?

Answer:

61

Step-by-step explanation:

Given the following :

Total number of students = 4 + 1 missing = 5

Score on the four avaliable papers = 60, 62, 56, 57

Average score of the 5 papers = 59.2

Score on missing paper :

Sum of each score / number of papers

Sum of each score = sum of available scores + missing score

Let missing score = m

(60 + 62 + 56 + 57 + m) = 235 + m

Recall:

Average = total sum / number of observations

Hence,

59.2 = (235 + m) / 5

59.2 × 5 = 235 + m

296 = 235 + m

m = 296 - 235

m = 61

Missing score = 61

6 0
3 years ago
Which expression is equivalent to 2(3 - x) - 12 + 4x<br><br> 3x - 6<br> 3x - 7<br> 2x - 7<br> 2x - 6
Nadya [2.5K]
The answer is b. 3x-6
5 0
3 years ago
What Is 3,552,308,725 In Word Form
Liono4ka [1.6K]
3, 552, 308, 725 in word form is:

Three billion, five hundred fifty-two million, three hundred eight thousand, seven hundred twenty-five.

7 0
3 years ago
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Descubra a lei ou regra da função do tipo f(x) = ax + bx + c no gráfico
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