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3 years ago

Simplify the expression

Mathematics

1 answer:

Crank3 years ago

6 0

Answer:

First awnser

Step-by-step explanation:

4x(7-v2)+v7(7-v2)

28-4v2+7v7-v14

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Draw a factor tree the prime factorization of 45 and 90 in the space provided below

Ann [662]

45 90
/ \ / \
5 9 45 2
/ \ / \
3 3 5 9
5x3x3 / \
3 3
2x5x3x3

3 0

3 years ago

Marlon asks a friend to think of a number from 5-11. What is the probability that marlins friend will think of the number 9

Tju [1.3M]

Answer:

14.29% probability that Marlon's friend will think of the number 9

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

There are 7 numbers from 5 to 11(5,6,7,8,9,10,11)

9 is one of them

$p = \frac{1}{7} = 0.1429$

14.29% probability that Marlon's friend will think of the number 9

4 0

3 years ago

Glasper -U. Hector recorded the amount of coffee he drank (in milliliters) and the duration of his drive (in minutes) over five

AVprozaik [17]

Answer:

thanks if u need help let me know

Step-by-step explanation:

3 0

2 years ago

Use differentials to estimate the amount of metal in a closed cylindrical can that is 26 cm high and 10 cm in diameter if the me

Afina-wow [57]

Answer:

The estimated amount of metal in the can is 87.96 cubic cm

Step-by-step explanation:

We can find the differential of volume from the volume of a cylinder equation given by

$V= \pi r^2 h$

Thus that way we will find the amount of metal that makes up the can.

Finding the differential.

A small change in volume is given by:

$dV =\cfrac{\partial V}{\partial h} dh + \cfrac{\partial V}{\partial r} dr$

So finding the partial derivatives we get

$dV =\pi r^2 dh + \pi 2r h dr$

$dV =\pi r^2 dh + 2\pi r h dr$

Evaluating the differential at the given information.

The height of the can is h = 26 cm, the diameter is 10 cm, which means the radius is half of it, that is r = 5 cm.

On the other hand the thickness of the side is 0.05 cm that represents dr = 0.05 cm, and the thickness on both top and bottom is 0.3 cm, thus dh = 0.3 cm +0.3 cm which give us 0.6 cm.

Replacing all those values on the differential we get

$dV =\pi 5^2 (0.6) + 2\pi (5) (26) (0.05)$

That give us

$V= 28 \pi \, cm^3$

Or in decimal value

$\boxed{dV= 87.96 \, cm^3}$

Thus the volume of metal in the can is 87.96 cubic cm.

6 0

3 years ago

Equation with a slope of -2 and point of (4,7)

s344n2d4d5 [400]

Answer:

y=-2x+15

Step-by-step explanation:

So first we can write it in point slope form.

That is y-y1=m(x-x1)

y1 is the y coordinate

m is the lope

x1 is the x coordinate

This means that the equation is:

y-7=-2(x-4)

We can then convert it to slope intercept form which is

y=mx+b

y-7=-2x+8

y=-2x+15

3 0

3 years ago

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