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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:

You might be interested in
The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard d
Ad libitum [116K]

Answer: a. 0.14085

b. 3.826 x 10^{-3}

c.  0.5437

d. 0.0811  

Step-by-step explanation:

Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 , \mu = $527

Given standard deviation , \sigma = $160

Let X = amount spent on a randomly selected child

Also Z = \frac{X-\mu}{\sigma}

a. Probability(X>$700) = P(\frac{X-\mu}{\sigma} > \frac{700-527}{160}) = P(Z>1.08125) = 0.14085 {Using Z % table}

b. P(X<100) = P( Z < \frac{100-527}{160}) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x 10^{-3}

c. P(450<X<700) = P(X<700) - P(X<=450)

   P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592

   P(X<=450) = P(Z<= \frac{450-527}{160}) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155

   So final   P(450<X<700) =  0.8592 - 0.3155 = 0.5437

d. P(X<=300) = P(Z<= \frac{300-527}{160}) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811                                                                        

All the above probabilities are calculated using Z % table along with interpolation between two values.

7 0
3 years ago
The map is going to be painted at the entrance of the campsite. It will be enlarged by a scale factor of 4. How many square inch
Maurinko [17]

I need a picture of the map duh.

- Chilio

7 0
2 years ago
Can someone help please?!?! Quickly
Yanka [14]

Part 1) Finding x

Note the double tickmarks for segments XY and YZ. This indicates the segments are the same length, which leads to point Y being the midpoint of segment XZ.

Therefore, XZ is twice as long as XY

XZ = 2*( XY )

XZ = 2*( 2x-1 )

XZ = 4x - 2

We also know that XZ = 2(3x-4) = 6x-8. Let's equate 4x-2 and 6x-8 and solve for x

6x-8 = 4x-2

6x-4x = -2+8

2x = 6

x = 6/3

x = 3

<h3>Answer is 3</h3>

=====================================

Part 2) Finding the length of YZ

The resut of part 1 (x = 3) is plugged into the equation for XY to get

XY = 2*x-1

XY = 2*3-1

XY = 6-1

XY = 5

Segment XY is 5 units long. So is segment YZ as these two segments are the same length (aka congruent).

<h3>Answer: 5</h3>

=====================================

Part 3) Finding the length of segment XZ

The answer from the previous part was 5. This doules to 5*2 = 10

-----

A longer way to get the same answer is to plug x = 3 into the XZ equation and we get...

XZ = 2*(3x-4)

XZ = 2*(3*3-4)

XZ = 2*(9-4)

XZ = 2*5

XZ = 10

and we get the same answer

<h3>Answer: 10</h3>
5 0
3 years ago
Solve the polynomial: 2x³-11x²+18x-8=0
kotykmax [81]

Answer:

2/0.74

Step-by-step explanation:

To solve the polynomial, factorize it.

2x³-11x²+18x-8=0

After factorizing:

(x-2)(2x^2 - 7x +4) = 0

now, solve each bracket one by one:

x-2 = 0

x = 2

Then

2x^2 - 7x + 4 = 0

use quadratic formula t get 0.74

7 0
3 years ago
Poppy, felix and Alexi sell 700 raffle tickets between them. Poppy sells twice as many tickets as Felix, and Alexi sells 25 more
slavikrds [6]
Let give Poppy = P, Felix = F, Alexi = A
so P+ F + A = 700 ----(1)
P = 2F ----(2)
A = 25 + P ---(3)
we will think in term of P

from (2) F = P/2

from (1) P + F + A = 700
P + P/2 + 25 + P = 700 ---(4)
(4) multiplied by 2
2P + P + 50 + 2P = 1400
5P + 50 = 1400
5P = 1350
so P = 270

so Poppy sold 270 tickets
Felix sold 135 tickets
and Alexi sold 295 tickets //
3 0
3 years ago
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