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bonufazy [111]
3 years ago
8

What graph below shows the solution for the linear inequality y ≥ -1/3x+1?

Mathematics
2 answers:
romanna [79]3 years ago
8 0

Answer:

D

I can suggest some insight how to analyze this type of problem...

1) the y intercept has to be 1... they all are so no help

2) the slope is negative, they all are so no help

3) the sign is ≥ so the "fill" goes up ... A or D

4) the ≥ means that the line has to be SOLID not a dash ONLY D left.

Step-by-step explanation:

galina1969 [7]3 years ago
6 0

Answer:

b

Step-by-step explanation:

i just answered it

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The density of gold is about 20 g/ cm^3 . The density of sand can be estimated at 2.5 g/cm^3. The gold statue can be modeled as
pantera1 [17]

Answer:

The mass of the bag of sand must be equal to  m=12,000\pi\ g

Step-by-step explanation:

<u><em>The complete question is</em></u>

In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platform on which the statue is placed is designed to detect the mass of the statue. If the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues.

The density of gold is about 20 g/ cm^3 . The density of sand can be estimated at 2.5 g/cm^3. The gold statue can be modeled as a cylinder with height 25 cm and radius 8 cm.

In terms of pi, what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?

step 1  

Find the volume of the gold statue

The volume of a cylinder is equal to

V=\pi r^{2}h

substitute the given values

V=\pi (8)^{2}(25)

V=600\pi\ cm^3

step 2

Find the mass of gold

Remember that the mass is equal to multiply the density by the volume

so

m=(20)600\pi\\m=12,000\pi\ g

step 3

what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?

we know that

The mass of the bah of sand must be equal to the mass of the statue

therefore

The mass of the bag of sand must be equal to

m=12,000\pi\ g

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3 years ago
What is the simplest form of 67/100?
Dafna1 [17]
That's the simplest lololol
3 0
3 years ago
A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3
puteri [66]

Answer:

5c + 3(8 - c) = 36

Step-by-step explanation:

A restaurant freezes a cherry and lime juice mixture to create slashes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice.  

Therefore, if there are c quart of cherry juice, then the number of lime juice is (8 - c) quart as the total number of quarts is 8.

Now, the total cost is $36 and therefore, we can write the equation to find the number of quarts of cherry juice is  

5c + 3(8 - c) = 36 (Answer)

3 0
3 years ago
Read 2 more answers
What is the equation of the line?
Ivahew [28]

Answer:

x=0

Step-by-step explanation:

The line is perpendicular to y axis and passes through origin. Thus it's x=0

3 0
3 years ago
[30 POINTS] Please help!!!
Len [333]

Answer:

Part 1) y=1.5x+5  

Part 2) y=-(2/3)x-(11/3)

Part 3) y=0.25x+2.75    

Part 4) y=-2x+5  

Part 5) y=0.5x-1  

Part 6) The graph in the attached figure

Step-by-step explanation:

Part 1) we have

m=3/2=1.5

point(-2,2)

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-2=1.5(x+2)

y=1.5x+3+2

y=1.5x+5

Part 2) we know that  

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

m1*m2=-1

the slope of the line 1 is equal to

m1=1.5

Find the slope m2

1.5*m2=-1

m2=-2/3

Find the equation of the line 2  

we have

m2=-2/3

point(-7,1)

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-1=(-2/3)(x+7)

y=-(2/3)x-(14/3)+1

y=-(2/3)x-(11/3)

Part 3) we have

m=1/4=0.25

point(1,3)  

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-3=0.25(x-1)

y=0.25x-0.25+3

y=0.25x+2.75

Part 4) we have

m=-2

b=5 -----> y-intercept

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

substitute the values

y=-2x+5

Part 5) we have that

The slope of the line 4 is equal to -2

so

the slope of the line perpendicular to the line 4 is equal to

-2*m=-1\\m=(1/2)=0.5

therefore

in this problem we have

m=0.5

point(-2,-2)

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y+2=0.5(x+2)

y=0.5x+1-2

y=0.5x-1

Part 6)

using a graphing tool

see the attached figure

3 0
3 years ago
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