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Virty [35]
3 years ago
15

3. A driver's path when diving off of a platform is given by h(t)=-5t^2+10t+20, where h(t) is the distance above water, in feet,

and t is the time from the beginning of the dive, in seconds.
3a. How high is the diving platform?
3b. After how many seconds is the diver 25 feet above water?
3c. When does the diver enter the water?
Mathematics
1 answer:
agasfer [191]3 years ago
5 0

Answer:

3a.=20ft  3b.=1 second 3c.=3.25seconds

Step-by-step explanation:

Hello, Courtney!

h(t)=-5t^2+10t+20

20 would be the height so 3.a would be 20ft

3b.  25=-5t^2+10t+20

-5t^2+10t-5 then divide by greatest factor the answer would 1 second

3c.    0=-5t^2+10t+20 divide by greatest factor and would get 3.25 and -1.25 but can't have negative so the answer is 3.25.

I hope this helps

best you know who!

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4 0
3 years ago
F(x)=-2x^2+3x+7 find f(3)
Inessa [10]

Answer:

f(3) = -2

Step-by-step explanation:

Given the f(x) = -2x² + 3x + 7, to find f(3):

We can substitute 3 as the value of x in the given function:

f(x) = -2x² + 3x + 7

f(3) = -2(3)² + 3(3) + 7

f(3) = -2(9) + 9 + 7

f(3) = -18 + 9 + 7

f(3) = -9 + 7

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3 0
2 years ago
The following histogram shows the exam scores for a Prealgebra class. Use this histogram to answer the questions.Prealgebra Exam
Contact [7]

Answer:

The number of the class containing the  largest score can be found in frequency  24 and the class is  98 - 103

For the third class 78 - 83 ; the upper limit = 83

The class width for this histogram 5

The number of students that took the exam simply refers to the frequency is  84

The percentage of students that scored higher than 95.5 is 53%

Step-by-step explanation:

The objective of this question is to use the following histogram that shows the exam scores for a Pre-algebra class to answer the question given:

NOW;

The table given in the question can be illustrated as follows:

S/N           Class                Score          Frequency

1                 68  - 73            70.5           0

2                73 - 78             75.5           4

3                78 - 83             80.5           8

4                83 - 88             85.5           12

5                88 - 93            90.5           16

6                93 - 98            95.5           20

<u>7                98 - 103           100.5          24                            </u>

TOTAL:                                                 84

<u>                                                                                             </u>

<u />

a) The number of the class containing the  largest score can be found in frequency  24 and the class is  98 - 103

b) For the third class 78 - 83 ; the upper limit = 83  ( since the upper limit is derived by addition of  5 to the last number showing  in the highest value specified by the number in the class interval which is 78 ( i.e 78 + 5 = 83))

c)   The class width for this histogram 5 ; since it  is the difference  between the upper and lower boundaries  limit of the given class.

So , from above the difference in any of the class will definitely result into 5

d) The number of students that took the exam simply refers to the frequency ; which is (0+4+8+12+16+20+24) = 84

e) Lastly; the percentage of students that scored higher than 95.5 is ;

⇒\dfrac{20+24}{84} *100

= 0.5238095 × 100

= 52.83

To the nearest percentage ;the percentage of students that scored higher than 95.5 is 53%

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