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3 years ago

How long would it take for an egg dropped from a helicopter to fall 256 feet to the ground? d=16t^2

1 answer:

7 0

Well the position function is:

h(t)=-16t^2+256

It will hit the ground when h(t)=0

-16t^2+256=0 factor out -16

-16(t^2-16)=0 factor difference of squares...

-16(t+4)(t-4)=0, since t>0

t=4 seconds

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What is the result of dividing x3−7 by x + 2?

Leni [432]

Answer :
x^2 -2x + 4 and rest -15

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3 years ago

The price of a pair of pants is $29.95 and the sales tax is 5%.

Vika [28.1K]

Answer: $31.45

Step-by-step explanation:

Given : The price of a pair of pants is $29.95.

The sales tax is 5% = 0.05

Required formula :

Total cost = Price + sales tax percent × Price

Total cost= Price (1+Sales tax percent)

i.e. Total cost of the pair of pants= 29.95 (1+0.05) =29.95(1.05)=31.4475 ≈ 31.45

Hence, the total cost of the pair of pants = $31.45

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2 years ago

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8 equal sized boxes of trinkets are delivered to Jess home and all the trinkets are unloaded into one pile. Jess adds 14 of her

andreyandreev [35.5K]

Answer:

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2 years ago

You have a gift card for a coffee shop worth $90. Each day you use the card to get a coffee for $4.10. Write an explicit formula

Fiesta28 [93]

Answer: The value of the card after you buy your 8th coffee will be $61.3

Step-by-step explanation:

The worth of the gift card for the coffee shop is $90. Each day you use the card to get a coffee for $4.10. This means that the worth of the gift card is reducing by $4.10 each day. This rate is in arithmetic progression.

The formula for the nth term of an arithmetic sequence, Tn is expressed as

Tn = a + (n-1)d

Where a is the first term

d is the common difference

n is the number of days

From the information given,

a = $90

d = - $4.1

The explicit formula representing the amount of money available will be

Tn = 90 - 4.1(n - 1)

The value of the card after you buy your 8th coffee will be

T8 = 90 - 4.1(8 - 1) = T8 = 90 - 4.1×7

T8 = 90 - 28.7

T8 = $61.3

7 0

3 years ago

Allen started his homework at 8:10 p.M. And worked for 45 minutes. Then he phoned a friend and talked for 20 minutes He went to

Luba_88 [7]

Answer:

Allen go to bed at <u>9:15 p.m</u>.

Step-by-step explanation:

Given:

Allen started his homework at 8:10 p.M. And worked for 45 minutes. Then he phoned a friend and talked for 20 minutes. He went to bed when he finished the call.

Now, to find the time Allen go to bed.

Allen started his homework at 8:10 p.m.

And worked for 45 minutes.

So, to get the time when he finished homework is by adding 45 minutes and the time when he started homework:

$8.10+45$

$=8.55\ p.m.$

Thus, he finished his homework at 8:55 p.m.

Then he phoned a friend and talked for 20 minutes and went to bed when he finished the call.

<em>As, 1 hour = 60 minutes.</em>

Now, to get the time when he go to bed by adding 20 minutes and the time when he finished homework:

$8.55+20=9.15\ p.m.$

Therefore, Allen go to bed at 9:15 p.m.

7 0

2 years ago