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BartSMP [9]
2 years ago
13

When a baseball is hit by a batter the height of the ball age of T at time TT equals zero is determined by the equation age of T

equals -16 T squared +64 2+ 4FT is in seconds for which interval of time is the height of the bar greater than or equal to 52 feet
Mathematics
1 answer:
Luda [366]2 years ago
5 0

Answer:

1 ≥ t ≤ 3

Step-by-step explanation:

Given

h(t) = -16t² + 64t + 4

Required

Determine the interval which the bar is at a height greater than or equal to 52ft

This implies that

h(t) ≥ 52

Substitute -16t² + 64t + 4 for h(t)

-16t² + 64t + 4 ≥ 52

Collect like terms

-16t² + 64t + 4 - 52 ≥ 0

-16t² + 64t - 48 ≥ 0

Divide through by 16

-t² + 4t - 3 ≥ 0

Multiply through by -1

t² - 4t + 3 ≤ 0

t² - 3t - t + 3 ≤ 0

t(t - 3) -1(t - 3) ≤ 0

(t - 1)(t - 3) ≤ 0

t - 1 ≤ 0 or t - 3 ≤ 0

t ≤ 1 or t ≤ 3

Rewrite as:

1 ≥ t or t ≤ 3

Combine inequality

1 ≥ t ≤ 3

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8 less than the product of 6 and -16
Pachacha [2.7K]

Answer:

-104

Step-by-step explanation:

Step 1: Write out expression

6(-16) - 8

Step 2: Evaluate

-96 - 8

-104

3 0
3 years ago
Solve the equation 4s2+32s=60 by completing the square
lord [1]

Answer:

s = -4 ± √31

Step-by-step explanation:

Given 4s^{2} + 32s = 60

divide by 4 throughout

s^{2}  + 8s = 15\\s^{2} + 8s + (\frac{8}{2}) ^{2}  = 15 + (\frac{8}{2}) ^{2}

 (s + 4)^{2}  = 31\\s + 4 = \sqrt{31}

s = -4 ± √31

7 0
3 years ago
NEED ANSWER QUICK WITH STEP BY STEP!!!
Elden [556K]
Y-y(1) = m(x - x(1))

y - 1 = (-3/4)(x + 8)
3 0
3 years ago
Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on th
ivanzaharov [21]

Answer:

ANSWER: Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Step-by-step explanation:

convert all % to decimals

0.06 x 21 = $1.26 tax

0.15 x 21 = $3.15 tip

1.26 + 3.15 = $4.41 added payment

4.41 + 21 = = $25.41 total bill

(yes i am aware i did the method differently since i learned it another way but the answer should till be correct.)

4 0
3 years ago
Read 2 more answers
Kimberly is measuring the temperature fluctuations of a city
VladimirAG [237]

Answer:

Easy Peasy!

Step-by-step explanation:

First we have to set up our equation:

(Let x= Temp. after 5 days)

Sorry, have to define variables. If I didn't do it in Middle School Tests, I get an automatic 0 for that question.

50-2(3.1)+3(4.8)=x

So, let's solve!

(If you didn't know what I did there, I just multiplied the rate of the decreasing and increasing temperature by the number of days it was in effect)

50-6.2 +14.4=x\\58.2=x

So, the temperature during the fifth day is 58.2 degrees.

Hope this helps!

P.S. Stay Safe!

7 0
3 years ago
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