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Vikentia [17]
4 years ago
10

Simlify using the law of exponents. (x^2) (x^2 y^3)

Mathematics
1 answer:
uysha [10]4 years ago
7 0

The answer is (x^4)(y^3)

Written as shown in the picture...

Hope this helps!

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Match the three dimensional figure to its volume based on the given dimensions assume n= 3,14.
stepan [7]

Answer:

Volume of right cylinder= 150.72 cu cm

Volume of cone= 314.159 cu cm

Volume of pyramid with base area 16= 160 cu cm

Volume of pyramid with length 3 =48 cu cm

Step-by-step explanation:

Volume of right cylinder = πr²h= 22/7 (4)²3=  150.72 cu cm

Volume of a cone = 1/3 πr²h= 1/3 (22/7) (5)²(12)= 314.159 cu cm

Volume of a pyramid = 1/3 ah= 1/3(16) (30)= 160 cu cm  (where a= area and h= height)

Volume of pyramid= 1/3 (3*3)(16)= 48 cu cm

6 0
4 years ago
Sara goes to a furniture store to buy a dining set, end tables, and a loveseat. She sees a lamp for $40 and an end table for $62
BaLLatris [955]

Answer:

$1191.60

Step-by-step explanation:

<u>Option 1:</u>

Leather Loveseat

1200 plus 2% extra charge and NO TAX

What is 2% of 1200??

0.02 * 1200 = 24

So total price = 1200 + 24 = $1224

<u>Option 2:</u>

Lush Blue Loveseat and Lamp

Lush Blue loveseat is 980 + 17% tax, that would be worth 980 + (0.17)(980) = $1146.6

and

lamp is worth 40 with 12.5% tax, that would be worth 40 + (0.125)(40) = $45

Total cost = 1146.6 + 45 = $1191.6

2nd option is cheaper, so that would cost $1191.60

3 0
3 years ago
How many solutions are there to the equation 10= a + b + c with each of a, b, and c a whole number greater than or equal to zero
djverab [1.8K]
If <em>a</em> is fixed and <em>b</em>,<em>c</em> are unknowns then the equation <em>b</em>+<em>c</em>=10-<em>a</em> has 11-<em>a</em> solutions. They are pairs (b,c): (0,10-a), (1,9-a), (2,8-a), ... (10-a,0). As <em>a</em> runs from 0 to 10 we have total number of solutions (11-0)+(11-1)+...(11-1)=11+10+...+1=(1+11)*11/2=66.
4 0
4 years ago
Mrs. Wright bought some notebook paper for her class. She decided to keep 3/4 of the paper for her own use. How much paper did s
larisa [96]
So the total amount of paper is 4/4 right?
And she kept 3/4.
So we have to minus 3/4 from 4/4.
Because it has the same denominator we need not change it to similar one.So 4-3 is one.
So answer is 1/4
5 0
3 years ago
write and solve an equation to determine the length of a rectangular prism with a width of 4 feet ,a height of 6 feet ,and a vol
Tasya [4]

Answer:

3.5ft

Step-by-step explanation:

To calculate the volume of something, you need to know the formula. Length x width x height. You already know the width, and the height, so you need to find the length.

4ft x 6ft x 3.5ft = 84ft^3

3 0
3 years ago
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