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2 years ago

9. The function h(t) = 150 - 4t represents the height of a person repelling down

Mathematics

2 answers:

Kisachek [45]2 years ago

8 0

Answer:

30 feet

Step-by-step explanation:

Hello!

Half an hour is 30 minutes, so that means we are asked to find h(30).

Solve for h(30):

h(30) = 150 - 4(30) $\implies$ Substitute 30 for t
h(30) = 150 - 120 $\implies$ Simplify
h(30) = 30

The person would be 30 feet above the ground in half an hour.

Dvinal [7]2 years ago

8 0

Answer:

30 ft

Step-by-step explanation:

Half an hour is equivalent to 30 minutes.

Thus, h(t) = 150 - 4t becomes h(30 min) = 150 ft - 4(ft/min)(30 min) = 30 ft

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Simplify 3m4-2+8 A.8m4 B.9m4 C.3m+244 D.3m+284

stiv31 [10]

Answer:

$3m^4 - 2 + 8 = 3(m^4 + 2)$

Step-by-step explanation:

Given

$3m^4 - 2 + 8$

Required

Simplify

$3m^4 - 2 + 8$

Subtract 2 from 8

$3m^4 - 2 + 8 = 3m^4 + 6$

Factorize

$3m^4 - 2 + 8 = 3(m^4 + 2)$

The expression cannot be further simplified;

Hence;

$3m^4 - 2 + 8 = 3(m^4 + 2)$

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2 years ago

Marissa deposited $3,900 into a savings account. How much will Marissa have in her account after 7 years and 6 months at a yearl

REY [17]

Marissa wants to know how much she would make using the simple interest calculation.

She will have $4,432.35

Given data

Principal = $3,900

Time = 7 years 6 months = 7.5 years

Rate = 1.82%

I = A - P = $532.35

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 1.82%/100 = 0.0182 per year.

Solving our equation:

A = 3900(1 + (0.0182 × 7.5)) = 4432.35

A = $4,432.35

The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.

Learn more about simple interest here:

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2 years ago

The formula s= √SA/6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube w

amm1812

Surface area of cube = 6 * (side)^2
side^2 = surface area / 6
side = sqrt (surface area / 6)

For the cube with area 1200 square inches:
side = sqrt(surface area / 6)
side = sqrt(1200 / 6)
side = 14.1421 inches

For the cube with area 768 square inches:
side = sqrt(surface area / 6)
side = sqrt(768 / 6)
side = 11.3137 inches

difference between the two lengths = 14.1421 - 11.3137 = 2.8284 inches

Based on the above calculations, the side of the cube with surface area 1200 square inches is 2.8284 inches longer than the side of the cube with surface area 768 square inches

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2 years ago

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RideAnS [48]

Answer:

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Step-by-step explanation:

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