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4 years ago

What is the sum of the first 250 consecutive odd numbers

Mathematics

2 answers:

Katena32 [7]4 years ago

8 0

Answer:

125 is your answer because Sum(1+3+5+7...n)= (number)^2 = 125^2

Oduvanchick [21]4 years ago

4 0

Answer:

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Step-by-step explanation:

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What is the exact volume of the cylinder? height 9 in. width 6 in.

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Miguel runs 4 miles in 30 minutes. At the same rate, how many minutes would he take to run 10 miles?

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Step-by-step explanation:

Use a proportion.

4 miles is to 30 minutes as 10 miles is x minutes.

4/30 = 10/x

2/15 = 10/x

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3 years ago

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What is n (6.5=-3+n) plz help

Tresset [83]

Answer:

n=−0.545455

Step-by-step explanation:

n(6.5)=−3+n

Simplify both sides of the equation.

n(6.5)=−3+n

6.5n=−3+n

6.5n=n−3

Subtract n from both sides.

6.5n−n=n−3−n

5.5n=−3

Divide both sides by 5.5.

5.5n

5.5

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5.5

3 0

3 years ago

Pls help these are my teachers instructions

Yanka [14]

The mistake he did, was in calculating powers, when 12 is taken to numerator it becomes -12 and 6-12 is -6 and not 6 so power of x should be -6 i.e x^-6 and not x^6

So, the correct answer is $=\frac{27}{4x^{6}y^{8}}$

Step-by-step explanation:

We need to simplify:

$\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

Solving:

$\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

Multiplying power with the terms inside the bracket.

$=\frac{4(3^3x^6y^{12})}{2^4x^{12}y^{20}}\\=\frac{4(27x^6y^{12})}{16x^{12}y^{20}}\\=\frac{108x^6y^{12}}{16x^{12}y^{20}}$

Now combining powers of same variable i.e if $\frac{x^a}{x^b}=x^{a-b}$

Solving:

$=\frac{108x^{6-12}y^{12-20}}{16}\\=\frac{108x^{-6}y^{-8}}{16}\\Divide\,\,by\,\,4:\\=\frac{27x^{-6}y^{-8}}{4}$

The exponent rule says: if $x^{-1} \,\,then\,\, \frac{1}{x}$

$=\frac{27}{4x^{6}y^{8}}$

The mistake he did, was in calculating powers, when 12 is taken to numerator it becomes -12 and 6-12 is -6 and not 6 so power of x should be -6 i.e x^-6 and not x^6

So, the correct answer is $=\frac{27}{4x^{6}y^{8}}$

Keywords: Exponents

Learn more about Exponents at:

#learnwithBrainly

3 0

3 years ago