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3 years ago

The number 10^100 is called a googol. What kind of number is a googol? Select all correct answers.

Mathematics

1 answer:

lana66690 [7]3 years ago

7 0

Answer: a, b, c, d

Step-by-step explanation: its not a fraction, its a integer, its positive, and is rational (every integer is rational).

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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

2 years ago

Make up your own problem and solve it

Gennadij [26K]

Answer:

= $ (x + 145 + 145)

= $ (x + 290)

So in this way end of every week her salary will increase by $ 145.

Step-by-step explanation:

8 0

2 years ago

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What is 8% of 37...........

docker41 [41]

Answer:

2.96

Explanation:

37/x=100/8

(37/x)*x=(100/8)*x - we multiply both sides of the equation by x

37=12.5*x - we divide both sides of the equation by (12.5) to get x

37/12.5=x

2.96=x

x=2.96

7 0

2 years ago

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Alexis washes 10 1/2 windows in 3/4 hours. At this rate, how many windows can she wash in an hour

torisob [31]

Answer:

13 windows

Step-by-step explanation:

10 1/2 divided by 3/4=13.6666666667

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3 years ago

Suppose the population of a certain city is 4251 thousand. It is expected to decrease to 3360 thousand in 50 years. Find the per

jonny [76]

Answer:

22.77%

Step-by-step explanation:

4351-3360 / 4351 x 100 = 22.77%

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2 years ago