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castortr0y [4]
3 years ago
13

Solve by quadratic formula: 3x^2 - 10x - 20= 0

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

this is your answer, i hope this helps you

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Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 4000/ 3 * π in 3. One day, her sink clogged.
givi [52]

Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in

The volume of the cone (cup) is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=4/2=2\ in ----> the radius is half the diameter

h=8\ in

assume

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

\frac{4,000}{33.49}= 119\ cups

Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=8/2=4\ in ----> the radius is half the diameter

h=8\ in

assume

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

\frac{4,000}{133.97}= 30\ cups

7 0
3 years ago
We either walk 5 miles/day or ride a bike 10 miles/day. How many days will it take to cover a distance of at least 150 miles?
g100num [7]

Answer:

30 for walking, 15 for biking

Step-by-step explanation:

150 divided by 5

150 divided by 10

5 0
3 years ago
Find an equation in slope-intercept form for the line with slope -12 and y-intercept = 1/2
Kruka [31]
M = -12
point = (0, 1/2)

Find the slope-intercept equation
y - y₁ = m(x - x₁)
y - 1/2 = -12 (x - 0)
y - 1/2 = -12x
y = -12x + 1/2
4 0
2 years ago
Janet is 48 in tall and Lucy her younger sister is 32 in tall at 2:30 in the afternoon Lucy's Shadow extends 34 in how far does
Elis [28]
Janet is 50inches tall.
5 0
3 years ago
The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 54 -3. What is the point slope
dangina [55]

Answer:

y+13=5(x+2)

Step-by-step explanation:

<u><em>The correct question is</em></u>

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x -3. What is the point slope  form of the equation for this line?

we have

y=5x-3

This is the equation of the line in slope intercept form

where

the slope is m=5

the y-intercept is b=-3

Remember that

The equation of the line in point-slope form is equal to

y-y1=m(x-x1)

we have

m=5

point\ (-2,-13)

substitute

y-(-13)=5(x-(-2))

y+13=5(x+2)

3 0
3 years ago
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