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Talja [164]
3 years ago
10

-8+12e=-20 answer please

Mathematics
2 answers:
Nataly_w [17]3 years ago
7 0

Answer:

e=-1

Step-by-step explanation:

-8+12e=-20

12e=-20-(-8)

12e=-20+8

12e=-12

e=-12/12

e=-1

11Alexandr11 [23.1K]3 years ago
7 0

Answer:

The correct answer would be <em>False</em>.

Step-by-step explanation:

- 8 + (12)(2.718282) =(?) - 20

- 8 + 12e = 24.6182

24.6182 ≠ - 20

<em>False</em>

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The function h(t) = -16t^2 + 16t represents the height (in feet) of a horse (t) seconds after it jumps during a steeplechase.
Vladimir79 [104]
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.

h'(t) = -32t + 16

When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.

-32t + 16 = 0

-32t = -16

t = 0.5 seconds

b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.

h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet

If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.

c.) We know that the horse is in the air whenever h(t) is greater than 0. 

-16t^2 + 16t = 0

-16t(t-1)=0

t = 0 and 1

So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
7 0
3 years ago
find the slope of the line passing through each pair of points. if the slope is undefined, write undefined. (5,9) and (5,-3)
iren [92.7K]

Answer:

i believe undefined

Step-by-step explanation:

Slope

m= −3−9

5−5

-12/0

3 0
2 years ago
Divide. Give the quotient and the remainder<br> 1493/6
mrs_skeptik [129]

Answer:

248 with remainder 5

Step-by-step explanation:

thats it

6 0
2 years ago
Brandon spends $25.30 on 2 large containers of popcorn and 4 large drinks. A large container of popcorn costs $5.25. What is the
Paladinen [302]

Answer:

$3.70

Step-by-step explanation:

$25.30 = 2P + 4D. p for popcorn and d for drinks

P= $5.25

$25.30 = 2($5.25) + 4D

$25.30 = $10.50 + 4D

-10.50. -10.50

inverse operations

$14.80 = 4D

÷4. ÷4

Inverse operations

$3.70 = D

5 0
3 years ago
3 more than a number x
balu736 [363]
X+3 is the answer.zz
5 0
2 years ago
Read 2 more answers
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