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Masteriza [31]
3 years ago
9

PLEASE HELP FAST SEE BELOW

Mathematics
1 answer:
Papessa [141]3 years ago
8 0
From the table, you know that Jupiter is further away from the sun. So if you subtract the distance of the shorter one, which is Mars, from the distance of the longer one, which is Jupiter, you woould get the distance of Jupiter from Mars.

4.84 x 10^8 - 1.42 x 10^8
= (4.84 - 1.42) x 10^8
= 3.42 x 10^8

Therefore the distance is 3.42 x 10^8

Hope this helped, if you don't understand what I was doing in the working, you can just imagine substituting a = 10^8, things will make more sense. As for what I was talking about in the huge paragraph above, if you're confused you can also draw it out.
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Which of the following is not a valid probability?
Marta_Voda [28]

Answer:

D

Step-by-step explanation:

Probability cannot be greater than 1 so the answer is D.

8 0
3 years ago
Any help with this would be greatly appreciated
lesya692 [45]

Answer:

45

Step-by-step explanation:

using similar triangles

Let x be the boy's height

\frac{x}{27}=\frac{72}{43.2}

cross multiply to get 43.2x=1944

then divide by 43.2 both sides

to get x=45

3 0
3 years ago
What is the x intercept of the line 6x-3y=24
Archy [21]
At x intercept , y = 0 so we have

6x - 3(0) = 24

6x = 24

x =  4  Answer
5 0
3 years ago
What is Limit of StartFraction x minus 1 Over x squared minus 1 EndFraction as x approaches negative 1?
zvonat [6]

Answer:

D

Step-by-step explanation: :)

7 0
3 years ago
A bank wishes to invest a $100, 000 trust fund in three sources: bonds paying 8%; certificates of deposit paying 7%; and first m
Nuetrik [128]

Answer:

It is not possible to make the investment under the given conditions.

Step-by-step explanation:

Let x, y and z be the amounts invested in bonds, certificates of deposit and mortgages respectively.

<u>1st equation </u>

<em>“A bank wishes to invest a $100, 000 trust fund in three sources” </em>

x + y + z = 100,000

<u>2nd equation </u>

<em>“The bank wishes to realize an $8, 000, annual income from the investment and bonds paying 8%; certificates of deposit paying 7%; and first mortgages paying 10%” </em>

<em> </em>

0.8x + 0.7y + 0.1z = 8,000

3rd equation

<em>“the total amount invested in bonds and certificates of deposit must be triple the amount invested in mortgages” </em>

<em> </em>

x+y = 3z

and we have a <em>linear system of 3 equations with 3 unknowns </em>

    x +      y +      z = 100,000

0.8x + 0.7y + 0.1z = 8,000

    x +      y      -3z = 0

This system has a unique solution given by

x = -470,000  

y = 545,000

z = 25,000

Since x is negative, we deduct there is no way to do such an investment.

7 0
4 years ago
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