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babymother [125]
3 years ago
15

21. Choose the correct solution and graph for the inequality. (1 point)

Mathematics
1 answer:
Ilya [14]3 years ago
4 0
Solve for X on both equations

2x - 2 < -12

Add two on both sides
2x < -10

Divide by two on both sides
2 < -5

2x + 3 > 7

Subtract three on both sides
2x > 4

Divide by two on both sides
x > 2


A. x < -5 or x > 2
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Marrrta [24]
I would divide the 18000 by 13.26 to get the number of hours needed.
18000/13.26~169.7 days with 8 hour shifts.
7 0
3 years ago
Read 2 more answers
A regular hexagonal prism has a volume of 160 cubic meters. Its base has a perimeter of 30 meters and an area of 64 square meter
valkas [14]
We know that

[volume of a <span>regular hexagonal prism]=[area of the base]*height
height=volume/area of the base
h=160/64-----> 2.5 m

[surface area </span><span>hexagonal prism]=2*[area of the base]+[perimeter of base]*h
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the answer is
203 m²
5 0
3 years ago
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.

8 0
3 years ago
Evaluate the expression if x = −4, y = 10, z = −9. Expression: x - y - z *
Citrus2011 [14]

Answer:

Step-by-step explanation:

-4 - 10 + 9 = -14 + 9 = -5

8 0
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tankabanditka [31]

Answer:

add all together

Step-by-step explanation:

7 0
3 years ago
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