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s344n2d4d5 [400]
3 years ago
15

A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a func

tion of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?
1.75 seconds B) 2.50 seconds C) 2.75 seconds D) 3.50 seconds
Mathematics
1 answer:
siniylev [52]3 years ago
8 0

Answer:

1.75

Step-by-step explanation:

h(t) = -16t² + 56t

h'(t) = -32t + 56

To find time at max height equate h' to 0

0 = -32t + 56

t = 56/32 = 1.75 s

It takes 1.75 s to reach max highest point

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You make 10 cups of pudding and pour it into 6 containers how many cups of pudding are in each container
masya89 [10]
1.67 cups.
10 divided by 6, then round.
7 0
3 years ago
Y=2x-10 substitution <br> Y=4x
Arada [10]
X=5
 Work:

y=2x-10
4x=2x-10
2x=10, then divide 2x on each side
x=5
4 0
3 years ago
A local bank in town offers two types of savings plan with different interest rates to customers. Plan A offers an annual intere
scoray [572]
Assuming he had not dealt with the bank offering plan B before, he has nothing deposited two years back.  Hence plan B only gives him only 0.2% annual interest for his deposit.
Plan A gives 0.25% for his deposit all the time.
So plan A is more advantageous.

For durations, 
To reach $1,000,000 from $100,000, the money needs to grow 10 fold, or
(1+i)^n=10
n=log(10)/log(1+i).

So for plan A:
n=log(10)/log(1.0025)=922.18 years, while for

plan B
n=log(10)/log(1.0020)=1152.44 years.
 
Hope the bank(s) still exist at that time.
6 0
3 years ago
On a coordinate plane, a line is drawn from point a to point b. point a is at (negative 8, negative 13) and point b is at (4, 11
vladimir2022 [97]

The coordinate for point P which is one-third the length of the line segment from a to b is (-4, -5)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Point a is at (-8, -13) and point b is at (4, 11). Hence the coordinates for point p(x, y) which is one-third the length of the line segment from a to b is:

x=\frac{1}{3}(4-(-8))+(-8)=-4\\ \\y=\frac{1}{3}(11-(-13))+(-13)=-5

The coordinate for point P which is one-third the length of the line segment from a to b is (-4, -5)

Find out more on equation at: brainly.com/question/2972832

#SPJ4

7 0
2 years ago
Lizzie has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Algebraically determine how many of each t
Gnom [1K]

Lizzie has 18 dimes and 12 quarters

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

Given that LIzzie has 30 coins

number of dimes + number of quarters = 30

d + q = 30 ---- eqn 1

Also given that the coins total $ 4.80

number of dimes x  value of 1 dime + number of quarters x  value of 1 quarter = 4.80

d \times 0.10 + q \times 0.25 = 4.80

0.1d + 0.25q = 4.8 ------ eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 30 - q ---- eqn 3

Substitute eqn 3 in eqn 2

0.1(30 - q) + 0.25q = 4.8

3 - 0.1q + 0.25q = 4.8

0.15q = 1.8

<h3>q = 12</h3>

From eqn 3,

d = 30 - 12

<h3>d = 18</h3>

Thus she has 18 dimes and 12 quarters

6 0
3 years ago
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