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Dmitry [639]
4 years ago
15

H=3+14t-5t^2 What is its maximum height

Mathematics
1 answer:
timurjin [86]4 years ago
5 0

Answer:

12.8

Step-by-step explanation:

Given a parabola in standard form , ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

h = 3 + 14t - 5t² ← is in standard form

with a = - 5 and b = 14, thus

x_{vertex} = - \frac{14}{-10} = 1.4

Substitute t = 1.4 into h for maximum height

h = 3 + 14(1.4) - 5(1.4)²

   = 3 + 19.6 - 9.8 = 12.8

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Ted has a shelf that is 75/4 inches wide.How many books can Ted arrange on the shelf if each book is 5/4 inches thick?
Mumz [18]
Hello!

You have to divide \frac{75}{4} by \frac{5}{4}

\frac{75}{4} ÷ \frac{5}{4} = 15

Ted can arrange <u>15 books</u>
6 0
3 years ago
!!!URGENT!!! ASAP
stellarik [79]

Answer:

i think the first one?

Step-by-step explanation:

i dont think its the second or fourth, so most likely the first one, a line joining points

8 0
3 years ago
Read 2 more answers
Ryan the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the ot
Ivahew [28]

Answer:

Both plans last for 1.25 hours (1 hour 15 minutes)

Step-by-step explanation:

Let x hours be the time needed for plan A and y hours be the time needed for plan B.

On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. Thus, 5x+3y=10.

On Thursday there were 2 clients who did Plan A and 6 who did Plan B. Thus, 2x+6y=10.

Solve the sytem of two equation. Multiply the first equation by 2, the second by 5 and subtract them:

10x+6y-10x-30y=20-50,\\ \\-24y=-30,\\ \\y=\dfrac{30}{24}=\dfrac{5}{4}=1.25\ hours.

Therefore,

5x+3\cdot 1.25=10,\\ \\5x=10-3.75=6.25,\\ \\x=1.25\ hours.

8 0
4 years ago
The triangles below are not drawn to scale or to proper proportions.
Lesechka [4]

Answer/Step-by-step explanation:

Given:

m<A = 115,

m<B = 78,

m<C = 35,

✔️m<1 = 180 - m<A (angles on a straight line/supplementary angles)

m<1 = 180 - 115 (substitution)

m<1 = 65°

✔️m<2 + m<1 + m<B = 180° (sum of interior angles of a triangle)

m<2 + 65 + 78 = 180

m<2 + 143 = 180

m<2 = 180 - 143 (substitution property of equality)

m<2 = 37°

✔️m<3 = 180° - m<B (supplementary angles)

m<3 = 180 - 78

m<3 = 102°

4 0
3 years ago
Can someone help me with this?
andrew-mc [135]
There are 5 equal sections on a spinner. Buzz wants to try to get the Letter D, which is 1/5 of the equal sectioned spinners.

In a 6 sided cube, 2, 4, & 6, are the even numbers, or 3/6 or 1/2 of the numbers are even.

Multiply the two fractions together:

1/5 x 1/2 = 1/10

C) 1/10 is your answer

hope this helps
6 0
4 years ago
Read 2 more answers
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