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Vladimir79 [104]
2 years ago
9

Match the following items by evaluating the expression for x = -7. x-2 x-1 x0 x1 x2

Mathematics
1 answer:
frosja888 [35]2 years ago
7 0

Answer:

{x}^{ - 2}  =  \frac{1}{ {x}^{2} }  \:  \: –> {7}^{ - 2}  =  \frac{1}{ {7}^{2} }  =  \frac{ 1}{49}  \\  \\  {x}^{ - 1}  =  \frac{1}{ {x}^{1} }   \: –>  {7}^{ - 1}  =  \frac{1}{ {7}^{1} } =  \frac{1}{7}  \\  \\  {x}^{0} –> {7}^{0}   = 1 \\  \\  {x}^{1}  –> {7}^{1}  = 7 \\  \\  {x}^{2}  –> {7}^{2}  = 49

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In the equation x=−3y, what is the unit rate?
Paul [167]
The unit rate is -1/3.

In direct variation, y varies directly to x by a constant ratio k.

Its equation looks like this: y = kx ; where k stands for the constant ratio.

In the above equation. x = -3y, it should be converted to the proper equation. both sides must be transferred and its accompanying sign must be changed.

3y = -x
3y/3 = -x/3
y = (-1/3)x
where: y is the total value; -1/3 is the unit rate; and x is the number of units


 
6 0
3 years ago
Big chungas was hungry he saw 5 fries at wend'y and 10 at mcdonalds where should he go
IrinaK [193]

Answer:

Chick-Fil- A

Step-by-step explanation:

They got waffle fries there

3 0
3 years ago
Hope you can answer quickly
Vikentia [17]

Answer:

Scalene

Step-by-step explanation:

The sizes of all the sides are different!

7 0
3 years ago
A national manufacturer of unattached garages discovered thatthe distribution of the lengths of time it takes two constructionwo
statuscvo [17]

Answer:

D. 68.00%

Step-by-step explanation:

Population mean time (μ) = 32 hours

Standard deviation (σ) = 2 hours

Assuming a normal distribution, for any given number of hours 'X', the z-score is determined by:

z=\frac{X-\mu}{\sigma}

For X=30

z=\frac{30-32}{2}\\z=-1

For a z-score of -1, 'X' corresponds to the 15.87-th percentile of a normal distribution.

For X=34

z=\frac{34-32}{2}\\z=1

For a z-score of 1, 'X' corresponds to the 84.13-th percentile of a normal distribution.

The percentage of the garages that take between 30 and 34 hours to erect is:

P(30 \leq X \leq 34) = 84.13\% - 15.87\%= 68.3\%

The percentage is roughly 68%.

6 0
3 years ago
Mateo wants to make a toy sailboat. He has two pieces of wood to choose from. His first piece of wood is a block that measures 1
Virty [35]

Step-by-step explanation:

2a. The block of wood has the shape of a rectangular prism.  The log has the shape of a cylinder.

2b. Density is mass divided by volume.  We know the mass, but we need to find the volume.

Volume of a rectangular prism is:

V = whl

where w is the width, h is the height, and l is the length

V = (18)(10)(8)

V = 1440 in³

So the density is:

d = 46.65 lbs / 1440 in³

d = 0.0324 lb/in³

2c.  Volume of a cylinder is:

V = πr²h

where r is radius and h is height.

The circumference is C = 2πr, so r = C / (2π).

r = 25.12 / (2*3.14)

r = 4.00

V = 3.14 (4.00)² (21)

V = 1055.04 in³

So the density is:

d = 39.25 lb / 1055.04 in³

d = 0.0372 lb/in³

2d.  The block is less dense than water; the log is more dense than water.  So he should make the boat out of the block.

3 0
3 years ago
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