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Ilia_Sergeevich [38]
3 years ago
15

Which expression is equivalent to the one below?

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

B. 5*\frac{1}{7}

Step-by-step explanation:

5÷7 is also \frac{5}{7}--that divided sign is what the fractional bar represents in a fraction.

now multiply 5*\frac{1}{7}=\frac{5}{1}*\frac{1}{7}=\frac{5*1}{1*7}=\frac{5}{7}

both are the same result, so your answer is Choice B.

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Find the sum of the first 9 terms of the geometric series:<br> 3 + 21 + 147 + …
grin007 [14]

Answer:

  20,176,803

Step-by-step explanation:

This geometric series has a first term of 3 and a common ratio of 21/3 = 7. The formula for the sum of n terms of a series with first term a1 and common ratio r is ...

 Sn = a1·(r^n -1)/(r -1)

For a1=3, n=9, and r=7, the sum is ...

  S9 = 3·(7^9 -1)/(7 -1) = 3·40353606/6 = 20,176,803

The sum of the first 9 terms is 20,176,803.

_____

The first 9 terms are ...

  3 +21 +147 +1029 +7203 +

  50,421 +352,947 +2,470,629 +17,294,403

8 0
3 years ago
30 divided by<br> 4,800
DedPeter [7]

30/4800 = 3/480

 = 1/160 in fraction form

 = 0.00625 in decimal form

8 0
3 years ago
Read 2 more answers
Write the equation of the line in slope-intercept form using y=mx+b​
victus00 [196]

The slope is given as m = 7m=7 and the yy-intercept as b = - \,4b=−4. Substituting into the slope-intercept formula y = mx + by=mx+b, we have

since m=7 and b=-4, we can substitute that into the slope-intercept form of a line to get y=mx+b → y=7x-4

The slope is positive thus the line is increasing or rising from left to right, but passing through the yy-axis at point \left( {0, - \,4} \right)(0,−4).

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Divide.<br><br> 3/5 ÷ 1 1/4<br><br><br> A.) 1/4<br><br> B.) 12/25<br><br> C.) 3/4<br><br> D.) 2 2/5
daser333 [38]

Answer:

the answeer is d i got it right

Step-by-step explanation:

no need it d

6 0
2 years ago
Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease
Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

\frac{2}{3}

Now,

First year =570000

Second year is given by

570000\times (\frac{1}{3})

Third year is given by

570000(\frac{1}{3})^2

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6

a=570000

common ratio is given by

r=\frac{a_2}{a_1}=\frac{1}{3}

number of terms = 6

Sum of terms will be given by

S_n=\frac{a(1-r^n)}{(1-r)}

We'll put this value in this formula,

S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16

So, there are approximately 853827 new cases in 6 years.

6 0
2 years ago
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