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fiasKO [112]
3 years ago
9

A juice stand sells smoothies in cone-shaped cups that are 8 in. tall. The regular size has a 4 in. diameter. The jumbo size has

an 8 in. diameter. Find the volume of the regular size and the jumbo size to the nearest tenth of a cubic inch.
Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0
All cone-shaped cups have the same height in 8 inches. They just differ in their diameters. To solve for the volume of the regular and jumbo sizes, let's use the formula for the volume of cone

V = (1/3)*pi*(r^2)*h

r is just the half of the diameter, h is the height which is equal to 8

Regular size:
V = (1/3)*pi*((4/2)^2)*8
V = 33.5 cube inches

Jumbo size:
V = (1/3)*pi*((8/2)^2)*8
V = 134.0 cube inches
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slega [8]

Answer:

For t=3 sec the velocity change from positive to negative

Step-by-step explanation:

we have

s(t)=-16t^2+96t+100

This is the equation of a vertical parabola open downward (the leading coefficient is negative)

where

s(t) is the distance in feet

t is the time in seconds

We know that

To find out when the velocity change from positive to negative, we need to determine the turning point of the quadratic equation

The turning point of the quadratic equation is the vertex

so

Convert the quadratic equation into vertex form

s(t)=-16t^2+96t+100

Factor -16

s(t)=-16(t^2-6t)+100

Complete the square

s(t)=-16(t^2-6t+9)+100+144

s(t)=-16(t^2-6t+9)+244

Rewrite as perfect squares

s(t)=-16(t-3)^2+244

The vertex is the point (3,244)

therefore

For t=3 sec the velocity change from positive to negative

8 0
3 years ago
5/8 + 3/8 simplified
shtirl [24]

you add them together to get 8/8 and that simplifies to 1

5 0
3 years ago
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on Saturday Leo and his brother drove into town to visit their mom Leo is trying to remember how much he spent on gas and tolls
Gwar [14]

Let t be the number of tolls they crossed.

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Let C be the total amount they spent on gas and tolls.

If they crossed 1 toll, then

C = 28 + 1.75(1).

If they crossed 3 tolls, then,

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If they crossed t tolls, then,

C = 28 + 1.75t

Here, the terms are 28 and 1.75t and the factors are 1.75 and t.

8 0
3 years ago
Jeany bought 12 postcards which was twice as many postcards as joe bought. Ruth bought 3 times as many postcards as joe. How man
nasty-shy [4]

Answer:36 postcards

Step-by-step explanation:

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joe bought half of the postcards jenny bought = 12/2 = 6

ruth bought 3 times the postcards joe bought = 3 x 6 = 18

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8 0
3 years ago
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Quadratic Equations<br> How do I solve a quadratic equation?
malfutka [58]
There are different ways to solve a quadratic equation, the main ones that i'm thinking about right now are:
1) factor the equation as a product:
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2) The other way to solve a quadratic function is by using a formula:
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now there are 2 possibilities: x= (-4+</span><span>√40) /6
                                                        and
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I hope the examples were clear enough also if i did't get very nice numbers. Look closely to the sings + and -, they are very important</span>
5 0
3 years ago
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