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Galina-37 [17]
3 years ago
6

A projectile is fired upward from the ground with an initial velocity of 300 feet per second. Neglecting air resistance, the hei

ght of the projectile at any time t can be described by the polynomial function P(t) = ­16t 2 + 300t
Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer: The polynomial that describes the projectile's height is:

P(t) = - ­16t*2 + 300t

For t = 1 second we have:

P(1) = - 16*1^2 + 300*1

P(1) = 284 ft

The height of the projectile after 1 second is 284 feet.

Step-by-step explanation:

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An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o
Gnoma [55]

Answer:

C

Step-by-step explanation:

In general for arithmetic sequences, recursive formulas are of the form

aₙ = aₙ₋₁ + d,

and the explicit formula (like tₙ in your problem), are of the form

aₙ = a₁ + (n - 1)d,

where d is the common difference. So converting between the two of these isn't so bad. In this case, your problem wants you to have an idea of what t₁ is (well, every answer says it's -5, so there you are) and what tₙ₊₁ is. Using the formulas above and your given tₙ = -5 + (n - 1)78, we can see that the common difference is 78, so no matter what we get ourselves into, the constant being added on at the end should be 78. That automatically throws out answer choice D.

But to narrow it down between the rest of them, you want to use the general form for the recursive formula and substitute (n + 1) for every instance of n. This will let you find tₙ₊₁ to match the requirements of your answer choices. So

tₙ₊₁ = t₍ₙ₊₁₎₋₁ + d ... Simplify the subscript

tₙ₊₁ = tₙ + d

Therefore, your formula for tₙ₊₁ = tₙ + 78, which is answer choice C.

6 0
3 years ago
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A sport jacket that sells for $165 has a markup of $85. Find the wholesale price.
olganol [36]
I'm not 100% sure but I believe it's $250 
7 0
3 years ago
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(-6)-(-2)<br> anyone know this?
umka21 [38]
-4 is your answer hope this helps
8 0
3 years ago
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8x+3y=18
Minchanka [31]

Step-by-step explanation:

8x+3y=18

subject y according y=mx+c

y=8/3x-6

(-9,-13)

substitute -9 to y=8/3x-6

-13=8/3×(-9)+c

11=c

y=8/3x+11

3 0
3 years ago
-4x = 16<br><br> a -64<br><br><br><br><br> b 4<br><br><br><br><br> c 20<br><br><br><br><br> d-4
cricket20 [7]

-4× = 16 answer: -4

Step-by-step explanation:

-4 × -4 = 16

4 0
3 years ago
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