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ivann1987 [24]
3 years ago
8

The radius of the cone is 1.5 inches, and its height is 3 inches. If the diameter of the bubble gum ball is 0.5 inches, what is

the closest approximation of the volume of the cone that can be filled with flavored ice? (4 points)
Mathematics
1 answer:
Korolek [52]3 years ago
3 0

7 cubic inches of ice cream can be filled in the cone.

Step-by-step explanation:

Radius= 1.5 inches

Height= 3inches

Volume= (1/3) π r(r) h

= (1/3) π (1.5) (1.5) (3)

= π(1.5) (1.5)

=2.25π

= 7 cubic inches

7 cubic inches of ice cream can be filled in the cone

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Sergeu [11.5K]

Using linear function concepts, it is found that he can correctly determine the hourly rate as follows:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, which can also be interpreted as the initial value of a function that is valid only for x \geq 0, such as is the case in this problem.

The flat fee is of $15, hence b = 15, then:

y = mx + 15

Philip uses the service for 3.5 hours for his spring cleaning, and his total is $232, hence when x = 3.5, y = 232, so we use it to find the hourly rate m.

y = mx + 15

232 = 3.5m + 15

m = \frac{232 - 15}{3.5}

Hence, the correct option is:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

You can learn more about linear function concepts at brainly.com/question/24808124

7 0
2 years ago
Find the unit rate $72 in 4 hours
shepuryov [24]

Answer:

72 dollars ÷ 4

4 hours ÷ 4

=  

18 dollars

1 hour

=  

18 dollars

hour

= 18 dollars per hour

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the second term in the binomial expansion of (2r-3s)12?
Reptile [31]
(a+b)^n=\displaystyle\sum_{k=0}^n\binom nka^{n-k}b^k

where \dbinom nk=\dfrac{n!}{k!(n-k)!}. The second term of the expansion occurs when k=1.

So the second term of the expansion of (2r-3s)^{12} is

\dbinom{12}1(2r)^{12-1}(-3s)^1=12(2r)^{11}(-3s)=-73728r^{11}s
5 0
3 years ago
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SHOW YOU WORK AND EXPLAIN PLS I WILL MARK YOU BRAINLIEST PLEASE.
KatRina [158]

Answer:

a) 1.8 cm^2

b) 3.6 feet^2

Step-by-step explanation:

Conversion and calculation of areas

The area of a rectangle is A=wh, where w is the width and h is the height. There are 3 feet in one yard

a)

We are told Kalie put 6 stickers, each one of 1/2 centimeters (0.5 cm) wide by 3/5 (0.6 cm) centimeter long. The area of one sticker is

A=(0.5)(0.6)=0.3 cm^2

Assuming there is no overlapping, the 6 stickers have a total area

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b)

Each of Elana's wrapping papers measures 2/5 yards long and 1/4 yard wide. Converting them to feet we have

long=2/5*3=1.2 feet

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3 years ago
What is (3xy^2)(-6xy^4)
krok68 [10]

Answer:

-18x^2y^6

Step-by-step explanation:

we have

(3xy^2)(-6xy^4)

Applying property of exponents

x^{m} x^{n}=x^{m+n}

(3xy^2)(-6xy^4)=(3)(-6)(x^{1+1})(y^{2+4})=(-18)(x^{2})(y^{6})=-18x^2y^6

5 0
3 years ago
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