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2 years ago

What is the definition of prime

Mathematics

2 answers:

just olya [345]2 years ago

6 0

Answer:

One of the following:

-of first importance; main.

-of the best possible quality; excellent.

-a state or time of greatest strength, vigor, or success in a person's life.

-a number that can only be divided by itself and 1

Step-by-step explanation:

rosijanka [135]2 years ago

4 0

Prime is a number evenly divisible by itself and one
for example: 2, 3, 5, 7, & 11

hope this helps!!!

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What is the distance between the following points?

likoan [24]

Answer:

11.

Step-by-step explanation:

9 right, and 2 up

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2 years ago

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Vsevolod [243]

Answer:

1.C

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Step-by-step explanation:

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3 years ago

Find percent notation<br> 0.488

In-s [12.5K]

Answer:

48.8%

Step-by-step explanation:

Just multiply this 0.488 by 100%, obtaining 48.8%.

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2 years ago

A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs

LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

$h=\frac{400}{\pi r^2}$

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: $h=\frac{400}{\pi r^2}$

Therefore:

$C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})$

$C(r)=0.12\pi r^2+\frac{24}{r}$

$C(r)=\frac{0.12\pi r^3+24}{r}$

The minimum cost occurs when the derivative of the Cost =0.

$C^{'}(r)=\frac{6\pi r^3-600}{25r^2}$

$6\pi r^3-600=0$

$6\pi r^3=600$

$\pi r^3=100$

$r^3=\frac{100}{\pi}$

$r^3=31.83$

r=3.17 cm

Recall that:

$h=\frac{400}{\pi r^2}$

$h=\frac{400}{\pi *3.17^2}$

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0

2 years ago

The mean height of plants is 18 inches. The height of seven plants are 12 inches, 13 inches, 15 inches, 15 inches, 17 inches, 23

ahrayia [7]

Answer:

25 inches

Step-by-step explanation:

i first started with 18×8=144 then i did 144-119 and got 25.

3 0

2 years ago