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Dmitry [639]
3 years ago
15

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

Mathematics
1 answer:
timurjin [86]3 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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Of the songs in Brianna's music library, 1/3 are rock songs. Of the rock songs, 7/10 feature a guitar solo. What fraction of the
Marat540 [252]

Answer:

7/30 of her music library

Step-by-step explanation:

We are looking for 7/10 of 1/3. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply

top × top

and

bottom × bottom

1/3 × 7/10

is 1×7 on top, and

3×10 on the bottom.

= (1×7)/(3×10)

= 7/30

7/30 cannot be simplified, so that is the answer.

6 0
2 years ago
Suppose Johnny invests $2,745 into an account, which has been earning interest for many years and he now has a total of $39,974.
Doss [256]
A negative number in this wouldn't be applicable.
Johnny started out with $2,745 in the beginning, EARNING (This being the key word) interest each year. Therefore, he comes out with $39,974, not being a negative number. 

Hope I helped! ^-^
5 0
4 years ago
You bought a video game for
Temka [501]

Answer: $0

Step-by-step explanation:

every six months means the game loses 25%*2 per year = 50%

2 years would be 50%*2 = 100%

Therefore, if the game loses 100% of its value in 2 years, it will be free.

7 0
3 years ago
Pleaseeee help me. I'm stuck on a math question.
lozanna [386]

The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.

7) The given function that represents the speed of the pronghorn is

y = 60.78x - 5.4

Comparing this function with the general equation of a straight line

y = mx + c we can conclude that the slope of the function is 60.78 .

So the Pronghorn's rate of speed is 60.78 miles per hour.

8) Now the speed of the cheetah is given in the form of a table.

Let us take any two points on the graph

(0.5,21.85) and (2,118.60)

Slope of the line passing through these two points

= (118.6-21.85)/(2-0.5)

=64.5

So the slope of the graph is 64.5 and the average rate of speed of the Cheetah is 64.5 miles per hour.

9) From the above two slopes and the rate of speed we can conclude that the speed of the cheetah is 64.5 mph which is greater than that of the pronghorn 's speed of 60.78 miles per hour.

To learn more about slope visit:

brainly.com/question/13281781

#SPJ1

6 0
2 years ago
Kim purchased white vases, red vases, and flowers to create centerpieces for an event. The flowers cost a total of $336 and each
laiz [17]

Option A:

I and III only the answers.

Solution:

Let white vases be "w" and red vases be "r".

Cost of total flower = $336

Cost of each vase = $11

Total cost of the centerpieces

                = Cost of (white vases + red vases)  + Cost of flowers

                = 11(w + r) + 336

                = 11w + 11r + 336

Total cost of the centerpieces = 11w + 11r + 336 = 11(w + r) + 336

Therefore I and III only the answers.

Option A is the correct answer.

4 0
3 years ago
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