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Reika [66]
3 years ago
11

Given the functions m(x)=4x-11 and n(x)=x-10, solve m[n(x)] and select the correct answer

Mathematics
1 answer:
LekaFEV [45]3 years ago
8 0
M[n(x)] = 4(x - 10) - 11 = 4x - 40 - 11 = 4x - 55
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The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is:
jolli1 [7]

Answer:

Yes, F is a continuous function of r

Step-by-step explanation:

We are given that

When r<R

F(r)=\frac{GMr}{R^3}

r\geq R

F(r)=\frac{GM}{r^2}

Where M=Mass of the earth

R=Radius of earth

G=Gravitational constant

We have to find the function is continuous of r or not.

LHL

\lim_{r\rightarrow R-}\frac{GMr}{R^3}=\frac{GMR}{R^3}=\frac{GM}{R^2}

RHL

\lim_{r\rightarrow R+}\frac{GM}{R^2}=\frac{GM}{R^2}

F(R)=\frac{GM}{R^2}

When a function is continuous at x=a

Then, LHL=RHL=f(a)

RHL==LHL=F(R)

Hence, the function is continuous of r.

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3 years ago
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kozerog [31]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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Sam bought 8 pounds of rice for $5 . How many pounds of rice did he get per dollar? round to nearest hundredth
DIA [1.3K]

Answer:

The answer is $0.63 per pound of rice.

Step-by-step explanation:

5 ÷ 8 = 0.625

Convert 0.625 to hundredths place

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3 years ago
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What ratios can we say are equivalent to 2:9?​
faust18 [17]

Answer:

4:18, 6:27, etc

Step-by-step explanation:

Basically, anything x 2 and x 9 would be equivalent as a ratio

5 0
3 years ago
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atroni [7]

Answer:

y=(1/5)x-5

Step-by-step explanation:

The given equation is

y=(1/5)x+4

This is of the form

y=mx+b

which is called the slope-intercept form because

m is the slope

b is the y intercept.

In this case,

m=1/5

b=4

you can see from the chart that this matches the red line.

If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5.  So, now we know that

y=(1/5)x+b

Since the line must go through the point (5,-4), we have

-4=(1/5)(5)+b

-4=1+b

b=-5

So, the desired line is

y=(1/5)x-5

7 0
3 years ago
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