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sattari [20]
3 years ago
13

Sandra throws an object straight up into the air with an initial velocity of 38 ft/s from a platform that is 30 ft above the gro

und. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?
A. 1 s

B. 2 s

C. 3 s

D. 4 s
Mathematics
2 answers:
Makovka662 [10]3 years ago
6 0

Answer:

The answer is C.

Step-by-step explanation:

Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.

In this case, the initial postion is a platform 30ft above ground so h0=+30

The initial velocity is 38 ft/s straight up into the air so v0=+38

h(t)=-16t2+38t+30

When the object hits the ground, h=0.

h=-16t2+38t+30=0

Simplifying 8t2-19t-15=0

(8t+5)(t-3)=0

t=-5/8 or 3

As time cannot be -ve, t=3s. The answer is C.

Vikentia [17]3 years ago
4 0

Answer:

C

Step-by-step explanation:

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Dimas [21]

Answer:

1/7 ;

0.0034

Step-by-step explanation:

Given that:

X = 1/14, 1/7, 3/14

n = number of observations = 3

Since, probability of X is equally likely ;

P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3

The mean, m ;

Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)

= 1/42 + 1/21 + 3/42

= (1 + 2 + 3) / 42

= 6 / 42

= 1/7

The variance :

Σx²*p(x) - m²

((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2

= 0.0238095 - 0.0204081

= 0.0034014

= 0.0034

6 0
3 years ago
Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19.
vlada-n [284]
Y = 5(x+4)-6 
x = 5(y+4)-6 
x = 5y +20 - 6 
x= 5y +14 
5y = x-14 
y = (x-14)/5 
<span>
when x = 19, y = (19-14)/5 </span>
y = 5/5 
<span>y=1

In short, Your Answer would be Option 2

Hope this helps!</span>
4 0
4 years ago
Read 2 more answers
Rebecca needs 10 1/2 yards of fabric to make a quilt. She has one piece of fabric that is 2 1/2 yards and another piece of fabri
yan [13]

Answer:

she needs 3 3/4 yards more to make a quilt

Step-by-step explanation:

Total cloth needed = 10 1/2 yards

she has  a total of = 2 1/2 + 4 1/4

= 2+4 + 1/2 +1/4

=6 + 2+1/4

=6 3/4 yards

she needs more = 10 1/2- 6 3/4

=  21/2- 27/4

= 42-27/4

=15/4= 3 3/4 yards

4 0
3 years ago
What is an equation of a parabola with vertex at the origin and focus (0, 7)
MakcuM [25]
<h3>Answer: B)  y = (1/28)x^2</h3>

Explanation:

p = focal distance = 7

the focal distance is from the vertex to the focus

The parabola opens upward (since the vertex is below the focus) so 'a' is positive and a = 1/(4p) = 1/(4*7) = 1/28

The vertex is (h,k) = (0,0)

Put this all together into the formula below and simplify

y = a(x-h)^2 + k

y = (1/28)(x - 0)^2 + 0

y = (1/28)x^2

8 0
4 years ago
i will rate you brainliest// What is the interquartile range (IQR) of {5.8, 8.5, 9.9, -0.8, -1.3, 2.3, 7.4, -1.9}?
Ipatiy [6.2K]

Answer

arrange the element in increasing order

-1.9, -1.3, -0.8, 2.3, 5.8, 7.4, 8.5, 9.9

interquatile = Q3 - Q1

=  \frac{7.4 + 8.5}{2} -  \frac{ - 1.3 - 0.8}{2}

= 7.95  + 1.05

= 9

3 0
4 years ago
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