All categories

3 years ago

Please help will brainlest

Mathematics

2 answers:

Ahat [919]3 years ago

4 0

Answer:

1) 8zs² × 4z³s^5

= 32z⁴s^7

2) 5w^5 × 4w⁴

= 20w^9

3) 3r × 5r^5

= 15r^6

4) cz × 9c^5z²

= 9c^6z³

5) (1/r)⁴ × (1/r)^7 × (1/r)^6

= r^-4 × r ^ -7 × r^ -6

= r^ -17

6) 4h^6 × 2h³c²

= 8h^9c²

Hope this helps.

liubo4ka [24]3 years ago

3 0

Answer:

1. = 32z4s7 2.= 20w9 3.= 15r6 8.= 9c6z3 (i don't know 9 sorry) 10.= 8h9c2

Step-by-step explanation:

the numbers that come AFTER the letters are the powers.

You might be interested in

Kent invested $5000 in a retirement plan. He allocated x dollars of the money to a bond account that earns 4% interest per year

eduard

Answer: The answers are given below.

Step-by-step explanation: Given in the question that Kent invested $5000 in a retirement plan. He allocated x dollars of the money to a bond account that earns 4% interest per year and the rest to a traditional account that earns 5% interest per year.

(A) Let, '$y' be the amount of money Kent invested in the traditional account, then we have

$y=5000-x.$

This is the required expression.

(B) After 1 year, total money in the bond account will be

$M_b=x+\dfrac{1\times 4\times x}{100}=x+\dfrac{x}{25}=\dfrac{26}{25}x,$

and amount of money in the traditional account will be

$M_t=(5000-x)+\dfrac{1\times 5\times (5000-x)}{1000}=(5000-x)+\dfrac{5000-x}{200}\\\\\\\Rightarrow M_t=\dfrac{201(5000-x)}{200}.$

Therefore, total amount invested after 1 year will be

$M=M_b+M_t=\dfrac{26}{25}x+\dfrac{201(5000-x)}{200}=\dfrac{208x+1005000-201x}{200}\\\\\\\Rightarrow M=\dfrac{7x+1005000}{200}.$

(C) If x = $500, then we have

$M=\dfrac{7\times 500+1005000}{200}=\dfrac{1008500}{200}=\dfrac{10085}{2}=5042.5.$

Thus, Kent will have $5042.5 in his retirement plan after 1 year.

4 0

3 years ago

a cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. the material for the sides of the can costs

fredd [130]

The dimensions of the can are radius of can = 4cm and

height of can = 78.6cm

What is the volume of cylinder?

A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. In order to calculate the space occupied by a cylinder, we calculate the space occupied by each disk and then add them up.

Thus, the volume of the cylinder can be given by the product of the area of base and height.

Volume of cylinder = πr²h

According to the given question:

We have V cylinder = V = 400cc

We will first find the areas involved

Let x = radius of base then area of the base = π*x² and this is the area of the top too

For lateral area we need to get h the height of the cylinder as function of x

V = πx²h ⇒ h= v/πx² ⇒ h = 400/πx²

Now the total area of the cylinder is:

A(x) = Area of the base + area of the top + lateral area

A(x) = 2*π*x² + 2πx h ⇒ A(x) = 2*π*x² + 2πx (V/πx² )

A(x) = 2*π*x² + 800/x