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OleMash [197]
3 years ago
15

A construction crew is using heavy equipment to dig a hole in which the foundation of a house will be built. The hole

Mathematics
1 answer:
Alona [7]3 years ago
5 0
The answer is 5. Hope I helped sorry if I got it wrong
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g (3 points)Set up but do no solve the integral required to calculate the volume formed by rotating the region bounded by f(x) =
Nikitich [7]

Answer:

Hello,

Step-by-step explanation:

\displaystyleV=2*\pi*\int\limits^4_2 {(\dfrac{1}{x}-\dfrac{1}{x^3} )*x } \, dx \\=2*\pi*\int\limits^4_2 {(1-\dfrac{1}{x^2} ) } \, dx \\=2*\pi* [x+\dfrac{1}{x}]^4_2\\\\\boxed{V=\dfrac{7\pi}{2}}\\

3 0
3 years ago
You start a chain email and send it to six friends. The next day, each of your friends forwards the email to six people. The pro
Elina [12.6K]

Solution:

The following information about the chain email can be Written as follows:

1 Person Email →→6 Persons (E-mail) →6² Persons  (E-mail)→6³ Persons  (E-mail)+.........few Days

As you can see the number of email sent starting from person 1 to 6 persons to 36 persons to 216 persons, forms a Geometric pattern.

So, Sum of the Series = 1 + 6 + 36 + 216 + 1296 +......+  for n days

        = 1+6^1+6^2+6^3+6^4 +6^5 +6^6+..........+ 6^n

Formula for n terms of a geometric series

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

For, Common ratio (r)≥1

Sum of above geometric series up to n terms =\frac{6^n-1}{6-1}=\frac{6^n-1}{5}

3 0
3 years ago
The table shows the price of strawberries this week at the produce place
faust18 [17]

Answer: 1.50

Step-by-step explanation:

because i said so

3 0
4 years ago
Read 2 more answers
Help pleaseeeeeeeeeee
frozen [14]
Yeah you Are right
g= 12
because
3 times 12 = 36
7 0
3 years ago
Read 2 more answers
write the product of the expression 5^4 * 5^-7 using a positive exponent, then write the product using a negative exponent
pav-90 [236]

Answer with positive exponent = \left(\frac{1}{5}\right)^3 or  \frac{1}{5^3}

Answer with negative exponent = 5^{-3}

===========================================================

Explanation:

The rule we use is

a^b*a^c = a^{b+c}

If we multiply two exponential expressions with the same base, then we add the exponents.

The base for each is 5. The exponents 4 and -7 add to -3.

This means

5^4*5^{-7} = 5^{4+(-7)} = 5^{-3}

To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.

So, 5^{-3} = \left(\frac{1}{5}\right)^3 = \frac{1^3}{5^3} = \frac{1}{5^3}

3 0
3 years ago
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