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allochka39001 [22]
3 years ago
14

What is the value of x?

Mathematics
1 answer:
Paul [167]3 years ago
3 0

Answer:45

Step-by-step explanation:

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Linear systems that have infinite solutions have the same slope and they have the same line on the graph
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Does anyone know how to answer this?
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Given that
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2 years ago
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Convert 8 1/10 into an improper fraction
alexdok [17]

Answer:

\frac{81}{10}

(10 * 8) + 1 over 10

Step-by-step explanation:

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3 years ago
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Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
rjkz [21]

Given:

The explicit function is:

f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}

To find:

f(1)=?,r=? and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

f(n)=ar^{n-1}            ...(i)

Where, a is the first term and r is the common ratio.

We have,

f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}         ...(ii)

On comparing (i) and (ii), we get

a=1000

f(1)=1000

And,

r=\dfrac{1}{4}

For n=1,

f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}

f(1)=1000\left(\dfrac{1}{4}\right)^{0}

f(1)=1000(1)

f(1)=1000

For n=2,

f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}

f(2)=1000\left(\dfrac{1}{4}\right)^{1}

f(2)=1000\times \dfrac{1}{4}

f(2)=250

Similarly, substituting n=3,4,5, we get

f(3)=62.5

f(4)=15.625

f(5)=3.90625

Therefore, f(1)=1000,r=\dfrac{1}{4} and the first five terms are 1000,250,62.5,15.625,3.90625.

5 0
3 years ago
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Yossi used to have a square garage with 334ft^2 of floor space. He recently built an addition to it. The garage is still square,
vaieri [72.5K]

Answer:

Increase in the length of one side = 3.8 ft

Step-by-step explanation:

Yossi has garage whose area is 280 ft²

After rebuilt their is increment in area by 50%

New Area = 280 × 150% = 420 ft²

Also we know that Area of Square = (Length) × (Length)

⇒ Length of Newly built garage = √420 = 20.5 ft

and Length of Originally garage = √280 = 16.7 ft

⇒ Increase in the length of one side = 20.5 - 16.7 = 3.8 ft

-

4 0
3 years ago
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