Write the number<br> five million four thousand three hundred<br> in standard form

Drupady [299]

h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8. This can be obtained by understanding the concepts of graph function.

<h3>What is the value of h(24)?</h3>

Given,

h(x) = -0.017x² + 1.08x + 5.8

Put h = 24,

h(24) = -0.017(24)² + 1.08(24) + 5.8

h(24) = -9.792 + 25.92 + 5.8

h(24) = 21.93

The height of the shot put above the ground is 21.93 feet when the shot is 24 feet horizontally from the start.

<h3>What is the value of the vertical intercept?</h3>

Vertical intercept, x = 0

h(0) = -0.017(0)² + 1.08(0) + 5.8

h(0) = 5.8

The height of the shot put above the ground is 5.8 feet at the start.

<h3>What is the values of the vertex coordinates?</h3>

vertex coordinates,

(h,k) = [(-b/2a),-(b²- 4ac)/4a]

(h,k) = [(-1.08/2(-0.017)),-((1.08)²- 4(-0.017)(5.8))/4(-0.017)]

(h,k) = [(1.08/0.034),(1.5608)/0.068)]

(h,k) = (31.76,22.95)

The maximum height attained by the shot is 22.95 feet when it is horizontally 31.76 feet away from the start.

<h3>How far from the start did the shot put strike the ground?</h3>

Put h(x) = 0,

-0.017x² + 1.08x + 5.8 = 0

Use quadratic formula for solving x,

x = (-b±√b²- 4ac)/2a

Here a = -0.017, b=1.08, c=5.8

x = [-1.08±√1.08²- 4(-0.017)(5.8)]/(2×-0.017)

x = [-1.08±√1.5608]/-0.034

x = [-1.08-1.2493]/-0.034 and x = [-1.08+1.2493]/-0.034

x = 68.509 and x = - 4.98

Distance between (68.509,0) and (- 4.98,0) = √[68.509 -(- 4.98)]² + (0-0)²

= √73.49²

= 73.49 feet

Hence h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8.

Learn more about graph:

brainly.com/question/14180189

#SPJ1

8 0

2 years ago

Write two fractions multiplication expressions that are equivalent to the expression 3/4X2/3

kolbaska11 [484]

Answer:

1st fraction =

2/6*3/2

2nd fraction =

3/6*2/2

Step-by-step explanation:

7 0

2 years ago

If y=x+2 were changed to y=x-1 how would the graph of the new function compare with the first one

Marizza181 [45]

Answer: C shifted down :)

8 0

3 years ago

Help resolve this please

Leokris [45]

Answer:

this is late but 1176?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help plsss!! I’d rlly appreciate it :]

Lena [83]

The volume of the Apple iPad Mini 2 is 12.561 in³.

The new volume of the Pear-Apple is 24.53 in³.

The new volume of the Pear-Apple is 5.3in³.

The scale factor to have a volume that is half that of the iPad Mini is 0.79.

The scale factor to have a volume that is double that of the iPad Mini is 1.26

<h3 /><h3>What is the volume of the Apple iPad Mini 2?</h3>

Volume = length x width x height

7.9 x 5.30 x 0.30 = 12.561 in³

<h3>What is the volume after the scale factors are applied?</h3>

Dimensions after the 1.25 scale factor is applied: (1.25 x 7.9) x (1.25 x 5.30) x (1.25 x 0.3)

= 9.875 x 6.625 x0.375 = 24.53 in³

Dimensions after the 0.75 scale factor is applied: (0.75 x 7.9) x (0.75 x 5.30) x (0.75 x 0.3)

= 5.925 x 3.975 x 0.225 = 5.3in³

Scale factor to have a volume that is double that of the iPad Mini : $2^{1/3}$ = 1.26

Scale factor to have a volume that is half that of the iPad Mini : $0.5^{1/3}$ = 0.79

To learn more about scale drawings, please check: brainly.com/question/26388230

#SPJ1

4 0

2 years ago

Write the number five million four thousand three hundred in standard form