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jasenka [17]
3 years ago
5

The height of a ball thrown directly up with a velocity of 10 feet per second from a initial height of of 100 feet is given by t

he equation , where t is the time in seconds and h is the ball’s height, measured in feet. When will the ball hit the ground? Round your answer to the nearest tenth.

Mathematics
1 answer:
Artemon [7]3 years ago
4 0

Answer:

2.8 seconds

Step-by-step explanation:

Given that a ball is thrown directly up

Initial velocity u = 10 ft/sec INitial height = 100 ft

t = time from time of throw

The equation as

h(t) =-16t^2+10t+100

Since h(0) =100 we find that h is measured from earth

When the ball hits the ground h=0

So we have

h(t)=0 =-16t^2+10t+100

Use binomial formulae to solve this to get

t=2.832 or t =-2.207

Since time cannot be negative

we get t=2.832

At 2.8 seconds ball hits the ground


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Sergio039 [100]

Answer:

0.3

Step-by-step explanation:

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I really need to understand this question! Please answer
mars1129 [50]

Answer:

- 3

Step-by-step explanation:

Using the law of logarithms

log_{b} x = n ⇔ x = b^{n}

let log_{b}( \frac{1}{b^3}) = n

log_{b}( b^{-3}) = n, then

b^{-3} = b^{n}

Since bases are the same on both sides then equate the exponents

⇒ n = - 3 → (4)

4 0
2 years ago
-5/7÷30/-4<br> What is the full explanation on how to work out this problem?
jasenka [17]

Answer:

1/168

Step-by-step explanation:

First, solve for the numerator.

-5/7÷30

-5/7÷30/1

(use keep, change flip)

-5/7x1/30=-5/210

-5/210=-1/42

Now use keep change flip again

-1/42÷-4/1

-1/42*-1/4=1/168

8 0
3 years ago
Luke and isabella make scale drawings of a fountain. the scale from the fountain to isabella's drawing is 6 m to 3 cm. the heigh
alina1380 [7]

In Luke's drawing, the height of the fountain is 4 cm. It is obtained after finding the real height of the fountain using the scale used by Isabella.

<h3>What is a scale?</h3>

A scale, in mathematics, is a ratio of the dimensions in a drawing to the actual dimensions. The formula is

<em>Scale = dimension in the drawing : actual dimension</em>

Given

  • The scale from the fountain to Isabella's drawing is 6 m to 3 cm
  • The height in Isabella's drawing = 5 cm
  • The scale from the fountain to Luke's drawing is 5 m to 2

What is the height of the fountain in Luke's drawing?

The scale used by Isabella

= 3 cm : 6 m

= 3 cm : 600 cm

= 1 : 200

The actual height of the fountain

= dimension in the drawing × scale

= 200 × 5

= 1.000 cm

The scale used by Luke

= 2 cm : 5 m

= 2 cm : 500 m

= 1 : 250

The height in Luke's drawing

= the actual height ÷ scale

= 1.000 ÷ 250

= 4 cm

Hence, in Luke's drawing, the height of the fountain is 4 cm.

Learn more about scale here:

brainly.com/question/16870997

#SPJ4

7 0
11 months ago
Year 8 maths Finding the rule using a table of values
Aleksandr [31]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)

m = \frac{b-a}{1-0} = b - a

y = (b - a)x + c

(a)

with coefficient of x being b - a

(b)

The line crosses the y- axis at (0, a ) ⇒ c = a

y = (b - a)x + a

3 0
3 years ago
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