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3 years ago

14

I have a homework question where I have to estimate the number of dentists in the UK. There is roughly 65,000 people in the UK a

nd they 90% probably visit every 4-6 months.

1 answer:

kozerog [31]3 years ago

4 0

I thought I had the answer srry

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Inequality for thirty is no greater than the sum of a number and -8

Alecsey [184]

Answer:

30≤-8+x

Step-by-step explanation:

The wording no greater then lets us know that the inequality is less than or equal to. The wording sum means the its adding the number and negative 8. Lets have x represent the unknown number.

30≤-8+x

7 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

so

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

Through:(-1, 2) and (0,2)

Elis [28]

What are you asking for exactly ?

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2 years ago

Larry won an award because he wrote 40 popular songs. However, he also wrote 32 songs that weren't popular. How many songs did L

Vsevolod [243]

Add 40 plus 32, it equals 72 because he wrote 40 popular songs and 32 songs.

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2 years ago

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Brett takes a cab from home to Disneyland. The cabs flat rate is $2.05 and then $0.90 per mile. The total cost of the cab ride w

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Brett is 4 miles away from Disneyland.

0.90 x 4 = 3.60 + 2.05 = 5.65

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3 years ago

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