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2 years ago

Estimate 5171 / 17 by first rounding each number so that it has only 1 nonzero digit.

Mathematics

2 answers:

padilas [110]2 years ago

8 0

Answer:

250

Step-by-step explanation:

5171/17

Estimate: 5000/20 = 500/2 = 250

german2 years ago

7 0

Answer:

250

Step-by-step explanation:

round first to 5000/20 = 250

please give a brainiest

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Pavel [41]

the local maximum is at x = -2.2 and has a value of 72.576

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2 years ago

A health food store was charging $4.10 for a small salad but raised the price 8%. The new price after the increase is $4.43.Ente

Otrada [13]

Answer: $4.10*0.08%=0.33

Step-by-step explanation:

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3 months 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

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

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2 years ago

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nataly862011 [7]

Replace the variables with numbers to find the expression

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2 years ago

What are the coordinates of the point where the total costs for both companies are the same? Question 1 options: (2, 60) (0, 0)

Molodets [167]

Answer:

0,0

Step-by-step explanation:

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2 years ago