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2 years ago

The area and the circumference of a circle whit radius 7 feet.

Mathematics

1 answer:

slega [8]2 years ago

5 0

Answer:

Area= 49 ft

π × 7 2 π × 49

49 π feet

Circumference = 14 ft

2× π × 7

14 π feet

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Use these functions to answer the questions.

Elenna [48]

Part A
We have $f\left(x\right)=\left(x+3\right)^2-1$ . To solve for the x-intercept, we set f(x) equal to 0. That is
$\left(x+3\right)^2-1=0$

$\left(x+3\right)^2=1$

Take the square root of both sides,
$x+3=1$

$x=-2$

The x-intercept is (-2,0).

To solve for the y-intercept, we set x=0. That is
$y=\left(0+3\right)^2-1=3^2-1=9-1=8$

The y-intercept is (0, 8)

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have $g\left(x\right)=-2x^2+8x+3$ .
Factor out -2
$=-2\left(x^2-4x\right)+3$

Complete the square
$=-2\left(x^2-4x+4\right)+3-2\left(4\right)$

Simplify
$g(x)=-2\left(x-2\right)^2-5$

Part C
We have $h\left(t\right)=-16t^2+28t$ .
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.

4 0

3 years ago

The sum of two numbers is 22 and their difference is 12 what are the numbers

nlexa [21]

Answer:

The numbers are 17 and 5

Step-by-step explanation:

x + y = 22

x - y = 12

Add y to both sides of the equation

x = 12 + y

Substitute new value for x into first equation

12 + y + y = 22

Add the y's

12 + 2y = 22

Subtract 12 from both sides

2y = 10

y = 5

22 - 5 = 17

The numbers are 17 and 5

Hope this helps :)

8 0

3 years ago

The Students' Union needs to order some pens and notebooks. How much does it cost to order 1000 pens and 2000 notebooks? $ Cost

NeX [460]

Answer:

Then, it costs $2120 to order 1000 pens and 2000 notebooks.

Step-by-step explanation:

The Students' Union needs to order 1000 pens and 2000 notebooks. The price per pen when buying 1000 of them is 60c. The price per notebook when buying 2000 of them is 76c.

Then the total of money needed to order 1000 pens and 2000 notebooks is:

Total Money = 1000 × 0.60 + 2000 × 0.76 = $2120

Then, it costs $2120 to order 1000 pens and 2000 notebooks.

6 0

3 years ago

The sales-tax rate was 8%.Benito bought a model train for $8.29. How much was the tax on the train?

astraxan [27]

T= 8/100 × $8.29

t= $66.32/100

t= $0.66 rounded to the nearest penny

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2 years ago

The graph shows the value of a certain model of car compared with its age. Which statement is false?

uranmaximum [27]

Answer: Choice B

===================================

A more in depth look

Choice A is true because the points are going downward as you read from left to right. The points aren't all on the same line but they are close to one. We can cross choice A off the list.

Choice B is false. So this is the answer. The fact that the points are close to the same line indicates that the r value is close to -1 rather than 0. If the points were randomly scattered about, or if they fell on a curve such as a parabola, then the linear correlation coefficient r would be (closer to) zero.

Choice C is true. The explanatory variable is the independent variable x. We can cross choice C off the list.

Choice D is true. The points are fairly close to the same straight line. It's not perfect but it's good enough. We can cross choice D off the list.

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3 years ago

Read 2 more answers