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3 years ago

5

A cube number that is multiple of 24

2 answers:

vampirchik [111]3 years ago

8 0

The answer your looking for is 6

Gekata [30.6K]3 years ago

4 0

The cube of 24 is 13824 which is also a multiple of 24

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Through: (1,5), perp. to y=-1/10x + 3<br> pls help

Sedbober [7]

First to get the equation you knew to understand one thing about perpendicular lines. The slope of the line is the opposite reciprocal of the perpendicular lines or the new slope is m = 10.

Then you use the formula
y = mx + b
you plug in your values from the point and the new slope.
(1,5) with new slope m
5= 10(1)+b
5-10=b
-5 = b
then make your new equation
y = 10x -5
that's your line that goes through point (1,5) and is perpendicular to the line given

8 0

3 years ago

Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

$f(x)=2lnx$

We have to find the average value of function on the given interval [1,e]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

By Parts integration formula

$\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx$

u=ln x and v=dx

Apply by parts integration

$f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))$

$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

$f_{avg}=\frac{1}{e-1}(e-0-e+1)=\frac{1}{e-1}$

By using property lne=1,ln 1=0

$f_{avg}=\frac{1}{e-1}$

8 0

2 years ago

What are the domain restrictions of the expression g2−7g+10g3−6g2+8g ? Select each correct answer.

Sauron [17]

Answer with Step-by-step explanation:

We are given that an expression

$f(g)=\frac{g^2-7g+10}{g^3-6g^2+8g}$

We have to find domain restriction of the given function.

$f(g)=\frac{(g-5)(g-2)}{g(g-4)(g-2)}$

Domain restriction means : It is that value of x when substitute in function then function will not defined.

It means it is that values which makes denominator zero.

From given function we can see that

When substitute g=0 then it makes denominator zero.

Hence, the function is not defined at g=0

Substitute g=4

Then, it makes denominator zero.

Hence, function is not defined at g=4

Substitute g=2

Then,it makes denominator zero.

Hence, function is not defined at g=2

Therefore, the function is defined for all values of g except g=0, g=2 and g=4

5 0

3 years ago

A dealer bought an item for $20, sold it for $24, bought it for $25, and sold it for $28. How much profit did she make?

tatiyna

Her profit was around the amount of $7-$52

6 0

3 years ago

a car is traveling at a speed of 108 kilometers per hour. What is the cars speed in kilometers per minute? How many kilometers w

Naya [18.7K]

Answer: 10.8 km per min

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers