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horsena [70]
3 years ago
8

Math Help please! Evaluate the sum of the geometric series 4 +2+ 1 +1/2+ . . .

Mathematics
1 answer:
sertanlavr [38]3 years ago
4 0
7.5 it's is hat answer or if I'm wrong use photomath it's the best app
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pantera1 [17]

3 ^{ - 2}  =  \frac{1}{3 {}^{2} }  =  \frac{1}{9}
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3 years ago
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Find the volume of the rectangular prism. Express your answer as a simplified mixed number.
Vedmedyk [2.9K]

Answer:

414 9/16 m³

414\frac{9}{16}m^{3}

Step-by-step explanation:

The volume of a Rectangular prism is calculated as Length × Width × Height

From the attached diagram,we can see that

The length = 8 3/8 m

The width = 6 m

The height =8 1/4 m

Converting the mixed fraction to improper fraction in other to simplify it better

The length = 67/8 m

The height = 33/4 m

The volume of the rectangular prism =

67/8 m × 6m × 33/4m

= (13266/32)m³

= 6633/16 m³

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= 414\frac{9}{16}m^{3}

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3 years ago
Solving systems of equations using substitution p=q+2<br> 4p+3q= -27
GREYUIT [131]
Ok, so you are given the value of P=q+2

The substitution method tells us that we must insert the value we know, into the second equation, 4P+3q= -27


Doing so will give us 4(q+2)+3q= -27

For right now, lets just focus on the first part, 4(q+2)

We can simplify this by distributing(multiplying) the 4 to whats inside the variables.

This will give us 4q+8

now lets add this back to the rest of the equation >>>  4q+8+3q = -27

We can further simplify by adding like terms >>> 7q+8 = -27

subtract the 8 from both sides >>> 7q = -35

now divide both sides by 7 >>> q = -35/7

Therefor q = -5

EDIT* 

now that we know q = -5 we can put q into the equation for P !

we know that p=q+2

so lets put q in now >>> p=(-5)+2

and simplify>>> p = -3

I hope this helps:)
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It would take him 450 minutes to burn off the calories by sleeping

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