Simplify the product. <br><br> 8x^2(4x^2 + 4y^6)

WARRIOR [948]

3)

$~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{-7}~,~\stackrel{y_2}{7}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -7 -2}{2}~~~ ,~~~ \cfrac{ 7 + 9}{2} \right)\implies \left( \cfrac{-9}{2}~~,~~\cfrac{16}{2} \right)\implies \left( -4\frac{1}{2}~~,~~8 \right)$

6 0

2 years ago

Greta must volunteer 225 hours for a community service project. She plans to volunteer for 6 hours

klemol [59]

Answer:

A. "an arithmetic sequence with a common difference (d) of -6."

B. 33 hours

C. $a_n=a_1+(n-1)d$

D. See below

Step-by-step explanation:

A.

Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.

B.

The formula for term of arithmetic sequence is:

$a_n=a_1+d(n-1)$

Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:

$a_{33}=225 + (-6)(33-1)\\a_{33}=33$

She will have left 33 hours

C.

We will use the arithmetic sequence term formula written above, that is:

$a_n=a_1+(n-1)d$

THis gives us the amount of hours left after a certain number of weeks.

D.

We plug in 40 into n and find the hours left:

$a_{40}=225+(40-1)(-6)\\a_{40}=225-234\\a_{40}=-9$

THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.

6 0

3 years ago

“Write five sentences about proportional relationships”

ivolga24 [154]

Answer:

Now, we’re going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we’ll pay.

Step-by-step explanation:

hope this helps

7 0

2 years ago

Read 2 more answers

Gary is 61 1/8 inches tall. His friends Gino and Gilbert are 56 1/2 inches tall and 63 1/8 inches tall. What’s the average heigh

Step2247 [10]

61 1/8 + 56 4/8 + 63 1/8 = 180 6/8

<span>180 6/8 / 3 = 60 2/8 = 60 1/4 incbes</span>

8 0

3 years ago

Read 2 more answers

At Palermo Pizzeria pizzas are sold by their diameter. Rihanna orders a 14-inch pizza. Which is closest to the area of the piz

Yuliya22 [10]

To get the Area you need the Radius to get the Radius you need to divide 14 by 2 14/2=7

The Radius is 7 now to get the area we need to multiply 7 by 7 but also add pi 3.14

7*7*3.14=153.86

4 0

3 years ago

Simplify the product. 8x^2(4x^2 + 4y^6)