To pass inspection, a new basketball should bounce back to between 68% and 75% of the starting height. A new ball is dropped from 6 feet and bounces back 4 feet 1 inch. Does the ball pass inspection? Explain

Answers

Answer 1

Answer: I think the answer is yes it will pass hope this helps you

Answer 2

Answer: the answer, is yes. it does pass.

68 percent of 6 = 4.08
75 percent of 6 = 4.5

68 x cross multiply and divide. then add.
---- = -----
100 6

75 x cross multiply dive, and add.
----- = ------
100 6

the answer is yes. it passes.

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Why is 6 is greater than 5/8 but less than 70

Answers

6 is a whole number and 5/8 is a fraction
Fractions are parts of a whole number
So a fraction is smaller than any whole number
Thats why 6 is greater than 5/8
6 is a number that is in the ones place
Once the ones place is full up the number 9 and is about to go to 10 it goes to the tens place
So anything that is in the tens place is greater than a number in the ones place
6 is in the ones place
70 is in the tens place
Thats why 6 is less than 70

6 is greatwr than5/8 but less than 70 because 5/8 isn't a whole number like 6 and is less than 70 because 7 is more than 5 and since 5/8 isn't a whole number it is less than 70

What is 2×(3×3)÷3-5 and why

Answers

1 because if you use order of operations you would:
parenthesis
then multiplication
then division
the subtraction

jasmines cd collection is 3/8 jazz 1/4 rap and the rest is rock music what is the fraction of rock music

Answers

rap - 1/4
jazz - 3/8
rock - x
all - 1

jazz + rap + rock = all

3/8 + 1/4 + x = 1
3/8 + 2/8 + x = 1
5/8 + x = 1
x = 1 - 5/8
x = 3/8

answer: rock - 3/8

$a- all\n j-jazz\n r_a-rap\n r_c-rock\n\n a=j+r_a+r_c\Rightarrow r_c=a-j-r_a\n\n r_c=1-(3)/(8)-(1)/(4)\n\n r_c=1-(3)/(8)-(2)/(8)\n\n r_c=(8)/(8)-(3)/(8)-(2)/(8)\n\n r_c=(3)/(8)$

SymmetryFor 1 through 4, tell if the figure has line symmetry, rotational
symmetry, or both. If it has line symmetry, how many lines of
symmetry are there? If it has rotational symmetry, what is the
smallest rotation that will rotate the figure onto itself?

Answers

Answer:

figure 2

Step-by-step explanation:

The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain? A. {5, 8} B. {-5, -8} C. {3, 8} D. {4, 7} E. {4, 8}

Answers

Answer:

Option D

The domain of the function is: {4, 7}

Step-by-step explanation:

We know that for polynomial functions like $f(k) = k^2 + 2k + 1$ its domain and its rank are all real numbers. However, for this case we are told that the function range is: the set {25, 64}

This means that the function is bounded.

Then the domain of f(k) are all possible values of k such that f(k) belongs to the interval {25, 64}.

To find the limit values of k then we do f(k) = 25

$k^2 + 2k + 1 = 25$

$k^2 + 2k -24 = 0$

Now we factor the expression:

$(k + 6)(k-4) = 0$

Then k = 4 and k = -6.

Now we do f(k) = 64

$k ^ 2 + 2k +1 = 64\n\nk ^ 2 + 2k -63 = 0$

We factor the expression:

$(k + 9)(k-7) = 0$

k = -9 and k = 7.

Finally we search between the options given an interval that matches.

The option that matches is option D {4, 7}

Finally, the domain of the function is: {4, 7}

Ellen drove 357.9 miles. Her car gets about 21 miles per gallon. Which is the best estimate of how many gallons of gas Ellen used?

Answers

The best thing to do is to divide the amount she has driven (357.9) by the miles (21)
As you're looking for an estimate, you have to round them.
357.9 rounds to 360
21 rounds to 20
Therefore, you've got to divide them
360/20= 18
Therefore, Ellen has driven approximately 18 miles
Hope this helps :)

When looking for an estimate, you have to round your numbers 21 rounded would become 20 and 357.9 would become 360. So next you would divide the numbers.

360 ÷ 20 = 18

So, Ellen would have used approximately 18 gallons of gas.

Hope this helps you. :-)

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