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malfutka [58]
2 years ago
13

Find the volume of the prism. 3 ft 7 ft 5 ft

Mathematics
2 answers:
Phantasy [73]2 years ago
7 0

Answer:

105 ft

Step-by-step explanation:

length times width times height is the formula to find it.

Taya2010 [7]2 years ago
6 0

Answer:

105

Step-by-step explanation:

I am guess this prism is a rectangle

So 3 times 7 times 5 is 105

Thus the answer is 105

Hope this helps!

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for 3 weeks, you earn 1.05 per day for doing around the house . your parents give you a 7.50 bonus . how much money do you have
gladu [14]
Multiply 3 times 1.05= 3.15, that is who much he got in 3 weeks.now add 3.15 and 7.50 witch is 10.65
4 0
3 years ago
What is the coefficient of x2y3 in the expansion of (2x + y)5?
Zigmanuir [339]

Option C:

The coefficient of x^{2} y^{3} is 40.

Solution:

Given expression:

(2 x+y)^{5}

Using binomial theorem:

(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}

Here a=2 x, b=y

Substitute in the binomial formula, we get

(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}

                                                            $+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}

Let us solve the term one by one.

$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}

$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y

$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}

$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}

$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}

$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}

Substitute these into the above expansion.

(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}

The coefficient of x^{2} y^{3} is 40.

Option C is the correct answer.

5 0
2 years ago
Emma has some money. She spends 2/3 of her money on clothes. She spends some more money on school supplies. Which number is a re
Jlenok [28]
$2.00 cause imagine she has 6 dollar 2/3 is 4.00 so it's 2.00
8 0
3 years ago
Read 2 more answers
5. What is the value of the expression [(29 + 18) +<br>(17 - 8)] = 8?<br>S​
Vladimir [108]

Answer:

False ; the answer to that equation is 56

Step-by-step explanation:

6 0
3 years ago
Standard form for64x10 forth power
laila [671]
Standard form essentially means to not have any symbols such as "x","÷", or "power".

The equation would be written as:

(64 x 10) ^4
Then
(640) ^ 4

Which equals: <span>167772160000</span>

5 0
3 years ago
Read 2 more answers
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