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3 years ago

11

A(r) is a function that gives the area of a circle with radius r. It can be written in equation form as A(r) = 3.14r2. What is t

he value of A(3)?

1 answer:

vlada-n [284]3 years ago

4 0

Sub in 3 for r
A(3) = 3.14 * 3^2
A(3) = 3.14 * 9
A(3) = 28.26

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One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table i

Mkey [24]

Answer:

Table C

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Find the value of the constant of proportionality in each table

Table A

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-3$ ------> $k=-3/-1=3$

This table has different values of k

therefore

the table A does not represent a proportional relationship

Table B

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=3$ ------> $k=3/1=3$

This table has different values of k

therefore

the table B does not represent a proportional relationship

Table C

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=2$ ------> $k=2/1=2$

For $x=2, y=4$ ------> $k=4/2=2$

This table has the same value of k

therefore

the table C represent a proportional relationship

Table D

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=2$ ------> $k=2/1=2$

For $x=2, y=6$ ------> $k=6/2=3$

This table has different values of k

therefore

the table D does not represent a proportional relationship

3 0

3 years ago

Read 2 more answers

The graph below shows three functions: Graph of function f of x equals 0.5 to the power x. Graph of function g of x is a line se

Phantasy [73]

Answer: f(x)= $0.5^x$ has all real value as its domain.

Explanation: since, we have three functions f(x)= $0.5^x$ ,

while g(x) and p(x) are line segments.

Now, g(x) is a function by a line segment which passes through two points (-1.8,-3) and ( 1,3.8).

Thus it is clear that its domain will be the ends points. so domain of the function g(x) will be [-1.8, 3.8] which is the subset of real numbers set (R).

Similarly, domain of function p(x) will be [1.7, 1], which is also the subset of R.

But, when we talk about f(x) it contains all the possible value of x. Thus we can say that $f(x)= 0.5^x$ has R as its domain.

8 0

3 years ago

Read 2 more answers

The price of a watch was increased by 7% to £1350. What was the price before the increase? Give your answer to the nearest penny

frutty [35]

Answer:

1261.68

Step-by-step explanation:

1350 = the increased watch price= 107% of the original

1350= 1.07x

1261.68224299

Check:

7% of 1261.68224299 is 88.317757

1261.68224299 + 88.317757 = 1349.9 = 1350

Round:

1261.68224299

To the penny= to the hundreth= 1261.68

3 0

3 years ago

Simplify: (7x4 – 7x3 + 7x2 + 2x) + (-5x4 + 7x3 + 5x2 – 9)

ikadub [295]

Answer:

Step-by-step explanation:

8 0

3 years ago

What is 5/8 + 3/4 divided by -2 /3 - 5/6

pentagon [3]

$\text{Hey there!}$

$\frac{5}{4}+\frac{3}{4}\div-\frac{2}{3}\ -\ \frac{5}{6}$

$\frac{5}{8} +\frac{3}{4}=\frac{11}{8}$

$\frac{-2}{3}-\frac{5}{6}=\frac{-3}{2}$

$\text{Problem becomes:}\frac{11}{8}\div\frac{-3}{2}$

$\frac{11}{8}\div\frac{-3}{2}=\frac{-11}{12}$

$\boxed{\boxed{\bf{Answer:\frac{-11}{12}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

5 0

3 years ago