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3 years ago

What is 70 over 9 in simplest form

1 answer:

5 0

To get 70/9 in simplest form you would have to divide 70 by 9. 9 goes through 70 seven times, which is 63. So 70-63= 7 which is the leftover. So the mixed number would be
7 7/9.

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What is the next term of the geometric sequence?<br>189,63,21<br>

Nikitich [7]

Answer:

Next term is 7. Sequence generator is 3.

Step-by-step explanation:

8 0

3 years ago

(2,0) (3,9) equation

valkas [14]

Answer: if ur trying to do the equation for coordinate planes its

Y2-y1.

X1-x2

Step-by-step explanation:

That's what i was taught I'm in 8th grade tho so

6 0

3 years ago

The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f

Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

$h(t)=-16t^{2}+25t+5$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

$h(t)=-16(t^{2}-\frac{25}{16}t)+5$

Complete the square

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}$

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}$

Rewrite as perfect squares

$h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

The vertex is the point $(\frac{25}{32},\frac{945}{64})$

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

$0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

$16(t-\frac{25}{32})^{2}=\frac{945}{64}$

$(t-\frac{25}{32})^{2}=\frac{945}{1,024}$

square root both sides

$(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}$

$t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}$

the positive value is

$t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec$

8 0

3 years ago

Find the solution to the system of equations by using either graphing or substitution.

Minchanka [31]

Answer: The answer is (-7,12)

Step-by-step explanation:

5 0

3 years ago

Find the domain of the following expression 15 - √(x+2)

ipn [44]

Answer:

[-2, ∞]

Step-by-step explanation:

15 - √(x+2)

domain is any value as long as (x+2) is not-negative, since √ of a negative number has no Real solution.

x+2 ≥ 0 ⇒ x ≥ -2

6 0

3 years ago