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Sedaia [141]
3 years ago
13

The equation h=-16t^2 , HELP! ID APPRECIATE IT!

Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer:

37.52 feet

Step-by-step explanation:

Given in the question the equation

h = -16t² + 47t + 3

<em>where h is height in feet </em>

<em>             t is time in minutes</em>

<em />

a = -16

b = 47

c = 3

To find the maximum height of the football

  1. If a, the coefficient of the x² term, is positive, then the parabola opens upward. If a is negative, then the parabola opens downward. In this case it is -16 which is negative so it open downward.
  2. The value of -b/2a tells you the x value of the vertex of the curve at which it is maximum
  3. Plug this value in the equation to find h, maximum height.

t = -b / 2a

 = -47 / 2(-16)

 = 1.47 sec  

h = -16(1.47)² + 47(1.47) + 3

  = 37.52 feet

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The table shows the temperature (y) at different altitudes (x).
Shtirlitz [24]

Answer/Step-by-step explanation:

2. Using two pairs of values, (0, 59) and (2,000, 51),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{51 - 59}{2,000 - 0} = \frac{-8}{2,000} = -\frac{1}{250}

3. The y-intercept is the value of y when x = 0. Thus, x = 0, when y = 59. Therefore,

y-intercept (b) = 59

4. To write an equation in slope-intercept form, simply substitute m = -¹/250, and b = 59, in y = mx + b

✅y = -\frac{1}{250}x + 59

5. Substitute x = 5,000 in y = -\frac{1}{250}x + 59.

y = -\frac{1}{250}(5,000) + 59

y = -20 + 59

y = 39

At an altitude of 5,000 ft, temperature would be 39°F

3 0
3 years ago
Lesson 13.3 Checkpoint
Arte-miy333 [17]

Answer:

a. LK = 4√3, JL= 4√6

b.  PQ = 10√3, RP = 5√3

Step-by-step explanation:

a. LK =4√3,

LK=KJ= 4√3

sin(45°) = opposite/hypotenuse

hypotenuse (JL)= opposite/sin 45° = 4√3/√2/2 = 8√3/√2 = 8√3√2/2 = 4√6

b.

cos 30° = adjacent/hypotenuse = QR/PQ = 15/PQ

cos 30° = 15/PQ

PQ = 15/cos 30° = 15/√3/2)= 30/√3 = 30√3/3 = 10√3

tan 30° = opposite/adjacent = RP/QR

√3/3 = RP/QR

√3/3 = RP/15

RP = √3*15/3 = 5√3

3 0
3 years ago
How much would you be willing to rent an additional oven when the order size is 1 dozen cookies
Kamila [148]

The amount that you should be willing to rent an additional oven when the order size is 1 dozen cookies is the amount that is less than the profit of producing those cookies.

<h3 /><h3>What amount should be paid to rent an additional oven?</h3>

The dozen cookies that Kristen’s Cookie Company are about to make are an additional order which means that they do not have the ovens to make it.

They will therefore have to rent an additional oven. If they did this, the amount they pay for the additional oven should not give them losses. They should therefore rent the oven at a cost that is less than the profit they will get for the additional 1 dozen cookies.

Find out more on accepting additional orders at brainly.com/question/25811981.

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2 years ago
The scale on a map is 1 in. : 15 mi. The distance between two cities is 25 mi. Find the distance in inches between the cities on
fgiga [73]
Create a proportion:

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8 0
3 years ago
Simplify the sum.<br> (4u3 + 4u2 + 2) + (6u3 – 2u + 8)
Elan Coil [88]

Answer:

10u^{3}+4u^{2}-2u+10 or 2(5u^{3}+2u^{2}-u+5)

Step-by-step explanation:

we have

(4u^{3}+4u^{2} +2)+(6u^{3}-2u+8)

step 1

Group terms that contain the same variable

(4u^{3}+6u^{3})+(4u^{2})+(-2u)+(2+8)

step 2

Combine like terms

(10u^{3})+(4u^{2})+(-2u)+(10)

step 3

Eliminate parenthesis

10u^{3}+4u^{2}-2u+10

step 4

Factor the number 2

2(5u^{3}+2u^{2}-u+5)

8 0
3 years ago
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