Answer:
104.7 in^3
Step-by-step explanation:
Step one:
given data
The ball has a radius of 5 inches and
the cylinder has a height of 8 inches
Step two:
The volume of the cylinder
substitute our data
The volume of the ball
substitute our data
The space will have a volume of
=628.4-523.7
=104.7 in^3
Based on the given problem above, this would appear that,
one pound of peanuts = 0.60*2 = $1.2
one pound of cashews = $2
Therefore, the cost of one pound of peanuts is $1.2.
The total cost of two pounds of peanuts and one pound of cashews would be this: 1.2 + 1.2 + 2 = $4.4
Hope this answers your question.
He can give at most 2 adult haircuts with the remaining time
<h3>How many adult haircuts at most can he give with the remaining time? </h3>
The inequality is given as:
0.75C + 1.25A <= 7
Also, we have
C = 5
Substitute C = 5 in 0.75C + 1.25A <= 7
0.75 * 5 + 1.25A <= 7
Evaluate the product
3.75 + 1.25A <= 7
Evaluate the like terms
1.25A <= 3.25
Divide by 1.25
A <= 2.6
Rewrite as
A < 3
Hence, he can give at most 2 adult haircuts with the remaining time
Read more about inequalities at:
brainly.com/question/15010638
#SPJ1
<u>Complete question</u>
Horace is a professional hair stylist. Let C represent the number of child haircuts and A represent the number of adult haircuts that Horace can give within 7 hours. 0.75C + 1.25A <= 7
Horace gave 5 child haircuts.
How many adult haircuts at most can he give with the remaining time?
To get the difference we proceed as follows:
<span>3n^2(n^2+4n-5) - (2n^2-n^4+3)
open the parenthesis
3n</span>²×n²+3n²×4n-3n²×5-2n²+n⁴-3
this will give us:
3n⁴+12n³-15n²-2n²+n⁴-3
putting like terms together
3n⁴+n⁴+12n³-15n²-2n²-3
simplifying further we obtain
4n⁴+12n³-17n²-3
b] The highest degree of the the result will be obtained by considering the term with the highest power. The highest power is 4, thus the result will be classified as polynomial of degree 4.
To find a,construct a line that parallel to AB and DE cutting c, which you could refer to the photo((sorry for my terrible diagram ^^;;
from the photo,we can see that
a= <BCG + <GCE
<BCG=44° (alt.<, AB//FG)
<GCE=20° (alt<, FG//DE)
thus,a= 44°+20° =64°
hope it helps!