Can someone please tell me the area of the square

The ordered pairs (1, 1), (2, 8), (3, 27), (4, 64), and (5, 125) represent a function. What is a rule that represents this funct

Zarrin [17]

The functions would be:

D. y=x³

We can check it out.

(1,1); x=1; y=1 ⇒1=(1)³=1*1*1=1
(2,8); x=2; y=8 ⇒8=(2)³=2*2*2=8
(3,27); x=3; y=27 ⇒27=3³=3*3*3=27
(4,64): x=4; y=64 ⇒64=4³=4*4*4=64
(5,125); x=5; y=125 ⇔ 125=5³=5*5*5=125

8 0

3 years ago

HELP

Reptile [31]

Answer:

The time it takes for the cannonball to hit the ground is 6.49 seconds.

Step-by-step explanation:

You know that the height of the cannonball above the ground, h, in meters, in time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t + 8.4. You want to calculate the time it takes for the cannonball to hit the ground, that is, the time it takes for the bullet to reach zero height. So, being h(t) = 0 you have:

0 = -4.9t² + 30.5t + 8.4

To solve a quadratic function 0=a*x² + b*x +c, the expression is applied:

$\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a}$

In this case, being a = -4.9, b =30.5 and c =8.4 you have:

$\frac{-30.5+-\sqrt{30.5^{2} -4*(-4.9)*8.4} }{2*(-4.9)}$

Solving you get:

t1= -0.26 seconds and t2=6.49 seconds

Since time does not have a negative value, then <u><em>the time it takes for the cannonball to hit the ground is 6.49 seconds.</em></u>

3 0

3 years ago

Burt's grandparents started a savings account for him when he was born. They invested

SashulF [63]

Answer:

4594.76 USD will be in the account on Burt's 18th birthday.

Step-by-step explanation:

Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:

$C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}$ (1)

Where:

$C_{o}$ - Initial amount, measured in US dollars.

$C$ - Current amount, measured in US dollars.

$r$ - Annual interest rate, measured in percentage.

$t$ - Time, measured in years.

If we know that $C_{o} = 1250\,USD$ , $r = 7.5$ and $t = 18$ , then the money in the savings account on Burt's 18th birthday is:

$C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}$

$C = 4594.76\,USD$

4594.76 USD will be in the account on Burt's 18th birthday.

5 0

3 years ago

ANSWER QUICKLYYY PLEASEE

stira [4]

Answer:

C

Step-by-step explanation:

6a^2 is the formula

plug in and solve

3 0

3 years ago

Last year, 12 hydrange bushes had a mean of 14 blooms each, with a standard deviation of 2. The dot plot shows the number of blo

Nataly_w [17]

Answer: The plant food produces more blooms on average, but the results aren't as consistent as before.

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

Explanation:

The dot plot leads to this data set

{8, 12, 12, 17, 17, 18, 18, 18, 19, 19, 20, 23}

Using pencil/paper, or using technology, you should find the following properties of this data set

mean = 16.75
sample standard deviation = 4.11

The second value is approximate. Both the mean and standard deviation are larger than their original counterparts (mean = 14 and std dev = 2).

Since the mean is larger, this means the data points have been shifted to the right further. The larger standard deviation tells us that the data is more spread out.

So it appears this new plant food has made the number of blooms increase overall, but it's also made the data more inconsistent. A smaller standard deviation would mean a more narrow set of points and therefore more consistent values (they'd all be clumped around the mean better).

6 0

3 years ago