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adoni [48]
2 years ago
12

The moon is about 240,000 miles from earth . What is the distance written as a whole number multiplied by a power of ten

Mathematics
1 answer:
Murrr4er [49]2 years ago
6 0
240,000 is a whole number. Now do the power of ten lol. Use a calculator. Remember don't do it all at once. The powers mean multiplying separate for example: 10×10 equals 100. I hundred times10 equals 1000. That is powered by three because it is multiplying 1030 different times which makes it the power. Simple math these days ha ha
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Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4
shutvik [7]

Answer

The answer is C. Trina is not correct because the two sides of the equation are equivalent.

Step-by-step explanation:

1.  solve for x

-8(x - 4) + 2x = -4(x - 8) -2x

-8x + 32 + 2x = -4x + 32 -2x

-6x + 32 = - 6x + 32

0 = 0

This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.

Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

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<u><em>Hope This Helps :p</em></u>

8 0
2 years ago
Read 2 more answers
What are the possible polynomial expression for dimensions of the cuboid whose volume is 12y2 + 8y -20
bogdanovich [222]

Answer:

The answer is below

Step-by-step explanation:

The volume of a cuboid is the product of its length, height and breadth. It is given by:

Volume = length × breadth × height

Since the volume is given by the expression 12y² + 8y - 20. That is:

Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]

Volume = 4(y-1)(3y+5)

Or

Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]

Volume = 2(y-1)(6y+10)

Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10

3 0
2 years ago
Read 2 more answers
The area of Kamila’s rectangular living room is 2.5 times the area of her square bedroom. The length of the living room is 18 fe
Archy [21]
Let L be the length of one side of Kamila's bedroom (since her bedroom is square, the area would be L x L). Then the width of her living room is 1.25L. So:
18*1.25L=2.5(L)²
22.5L=2.5L²
L=22.5/2.5=9
Kamila's bedroom is 9'x9'; her living room is 11.25'x18'. ☺☺☺☺
4 0
2 years ago
Read 2 more answers
A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. When spring arrives, the ice starts to
hichkok12 [17]

Answer: 1.5 meters


Step-by-step explanation:

Given: A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. S

S(t) models the ice sheet's thickness (in meters) as a function of time t (in weeks) S(t)=-0.25t+4

if we put x=0, then

S(0)=-0.25(0)+4\\=4\ meters

So 4 meters is the initial thickness

To find the thickness after 6 weeks, put x=6 we get

S(6)=-0.25(6)+4\\=-1.5+4=2.5\ meters

Decrease in thickness every 6 weeks= 4-2.5=1.5\ meters


3 0
2 years ago
Read 2 more answers
A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-
sergiy2304 [10]

Answer:

The <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

Step-by-step explanation:

The confidence interval formula for mean difference for a paired data is as follows:

CI=\bar x_{d}\pm t_{\alpha/2, (n-1)}\times \frac{s_{d}}{\sqrt{n}}

Here,

\bar x_{d} = sample mean of the difference,

s_{d} = sample standard deviation of the difference,

<em>n </em>= sample size (both samples are of same size).

t_{\alpha/2, (n-1)} = critical value of <em>t</em>

(<em>n</em> - 1) = degrees of freedom

The information provided is:

<em>n</em> = 5

Confidence level = 95%

The critical value of <em>t</em> is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (5-1)}

               =t_{0.025, 4}

               =2.776

*Use a <em>t</em>-table for the critical value of <em>t</em>.

Thus, the <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

4 0
2 years ago
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