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Shalnov [3]
2 years ago
15

MARY is making pillows for her new office. She bought 2 1/2 yards of fabric. Her

Mathematics
1 answer:
storchak [24]2 years ago
3 0
17 / 2.5 = 6.80 a yard
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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
40 - 2 to the second power•9+17 can you please show me how you got this answer and tell me what it is please I will mark brainie
ollegr [7]
Use orders of operations.
40 -  {2}^{2}  \times 9 + 17 \\ 40 - 4 \times 9 + 17 \\ 40 - 36 + 17 \\ 4 + 17 \\  = 21
5 0
3 years ago
Read 2 more answers
A radio station requires DJs to play 3 commercials for every 18 songs they play. What is the unit rate of songs to commercials?
bulgar [2K]
6 songs

The way to find this answer is to divide 18 by 3, which is six, which means that after every six songs a commercial is played. 

Hope this was helpful and that I explained it correctly. 
3 0
3 years ago
Solve by any method from this unit. y2 - 5y = 3 Please help
ExtremeBDS [4]

Answer:

-1

Step-by-step explanation:

First we combine like terms, so y2 - 5y = - 3y

Now we get - 3y = 3

Then we divide both sides by - 3

Now we get y =-1

7 0
2 years ago
What is the value of X?
Bad White [126]
X=12sin(60). X=10.3923...X=6rad3
5 0
3 years ago
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