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Inga [223]
2 years ago
10

The expression 200 - 16t2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after

being dropped. Find the height of the object after 0.75 seconds. Make sure and include the units of feet in your answer for full credit. Round your answer to the nearest hundredth place.
Mathematics
1 answer:
suter [353]2 years ago
7 0

Answer:

Concept: Modeling expressions

  1. We are given the equation
  2. 200 - 16 {t}^{2}
  3. We want to find the time after 0.75 seconds given that t is represented in seconds.
  4. Hence we do
  5. 200 - 16(0.75)^{2}
  6. Hence we get the answer to 191 feet
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crimeas [40]
Look at the picture.

The polygon is a right-angled trapezoid.

The area is:
A=\frac{a+b}{2} \times h

The points (-2,-1) and (6,-1) lie on the same horizontal line, so the distance between them is 6-(-2)=6+2=8. The length of a is 8 units.
The points (-2,5) and (3,5) lie on the same horizontal line, so the distance between them is 3-(-2)=3+2=5. The length of b is 5 units.
The points (-2,5) and (-2,-1) lie on the same vertical line, so the distance between them is 5-(-1)=5+1=6. The length of h is 6 units.

A=\frac{8+5}{2} \times 6=\frac{13}{2} \times 6=13 \times 3=39

The area is 39 square units.

5 0
3 years ago
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Given the set of ordered pairs: {(1,3), (2,7), (x,5), (6,4)}.
MrMuchimi

Answer:

2

Step-by-step explanation:

2 is a value of x that would not make the set a function because a function can't have multiple coordinates wit hthe same domain (x-coordinate). 2 is a domain that has already been used in the point (2,7). If this is used in (x,5), the point would become (2,5) and repeat a domain.

Note:

The x-coordinate could also be 1 or 6 because they have been used as domains as well.

Hope it helps!

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Answer:

x^2-7x+12

Step-by-step explanation:

(x-3)(x-4)=\\x \cdot x + x \cdot -4 +x \cdot -3 + -3 \cdot -4=\\x^2-4x-3x+12=\\x^2-7x+12

Hope this helps!

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3 years ago
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kap26 [50]

Answer:

Step-by-step explanation:

When,x= -1

Now,

f(-1)=-(-1)^2+6

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=7

Hope it helped you.

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