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2 years ago

Slope of a line that contains j(1,-4) k(3,-1)

Mathematics

1 answer:

Sauron [17]2 years ago

6 0

M=(y2-y1)/(x2-x1)
=[-1-(-4)] / (3-1)
=(-1+4) / 2
=3/2

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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

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

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

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

7 0

2 years ago

Find the solution 4x<8

Nataliya [291]

x=1

...................

7 0

2 years ago

How do you find the vertex of this parabola? I just plotted the points down on a graphing calculator, but I figure there's a bet

Sergio039 [100]

When you look at the table, find the y value that has equivalent values on both sides. For example, the y value for the vertex here is 10. After it, the values are 7,-2, and 17, and above it, the values are 7 and -2. This value should also be either the largest y value or smallest y value (depending on whether the parabola opens up or down).

3 0

3 years ago

Help!!! Two customers took out car loans from a bank.

Nikitich [7]

Answer:

Susan paid $2220 more

Step-by-step explanation:

Use the interest formula:

I = Prt, where P - amount of loan, r- interest rate, t- time in years

Robert:

I = 30000*(4.9/100)*4 = 5880

Susan:

I = 30000*(4.5/100)*6 = 8100

Difference in amounts of interest:

8100 - 5880 = 2220

Susan paid $2220 more

8 0

2 years ago

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615.44 rounded to the nearest tenth

Whitepunk [10]

The answer is 615.4

Hope this helps :)

5 0

3 years ago

Read 2 more answers