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3 years ago

Anyone know this one I’m kinda bad at math lol

Mathematics

2 answers:

swat323 years ago

8 0

Answer:

1/ 9^5

Step-by-step explanation:

When dividing exponents with the same base, subtract the exponents

9^2 / 9^7

9 ^ (2-7)

9^ -5

We know that a^ -b = 1/ a^b

1/ 9^5

jenyasd209 [6]3 years ago

8 0

You can rewrite it as: (using the law of dividing exponents)

9^(2-7) = 9^(-5) = 1/(9^5)

The fourth one

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What is the factorization of 729^15+1000?

igomit [66]

Answer:

The factorization of $729x^{15} +1000$ is $(9x^{5} +10)(81x^{10} -90x^{5} +100)$

Step-by-step explanation:

This is a case of factorization by sum and difference of cubes, this type of factorization applies only in binomials of the form $(a^{3} +b^{3} )$ or $(a^{3} -b^{3})$ . It is easy to recognize because the coefficients of the terms are perfect cube numbers (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of $729x^{15} +1000$ by using the sum and difference of cubes factorization.

1.) We calculate the cubic root of each term in the equation $729x^{15} +1000$ , and the exponent of the letter x is divided by 3.

$\sqrt[3]{729x^{15}} =9x^{5}$

$1000=10^{3}$ then $\sqrt[3]{10^{3}} =10$

So, we got that

$729x^{15} +1000=(9x^{5})^{3} + (10)^{3}$ which has the form of $(a^{3} +b^{3} )$ which means is a sum of cubes.

Sum of cubes

$(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})$

with $a= 9x^{5}$ y $b=10$

2.) Solving the sum of cubes.

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )$

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)$

8 0

2 years ago

Can someone help with an explanation? This is finding Surface Area.

Y_Kistochka [10]

The answer should be 95in^2

Explanation:

You’re essentially just finding the area of all the shapes on the triangle and adding them together.

Area of a triangle = 1/2•b•h
Area of a square = l•w or just s2

The area of the triangles given what we have in the diagram can be found with
1/2•5•7 = 17.5

There are 4 triangles so you multiply 17.5 by 4 which gives 70

The base of the triangle (the square) = 25

70+25=95

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2 years ago

can somebody please help my friend, she has asked everyone she knows and nobody knows how to solve it. please help ty

Nady [450]

Answer:

Step-by-step explanation:

First I'm going to assume that C and A are perpendicular.

Because its perpendicular, this creates a 90 degree angle which can be used to create the following equation.

$90 = 6x - 6 + 5x + 8$

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11x = 88

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We then plug in 8 into the equation 6x - 6 in order to solve for that angle.

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3 years ago

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3 years ago

Here are the ingredients for a cake. 0.225 kg butter 225 g sugar 225 g flour 0.2 kg eggs 250 g berries How much do the ingredien

viktelen [127]

Answer:

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Step-by-step explanation:

I'm going to work out the answer is grams.

1kg = 1000g

0.225kg of butter = 225g, 225g of sugar, 225g of flour, 0.2kg of eggs = 200g, 250g of berries.

225 + 225 + 225 + 200 +250 = 1125.

Hope that helps. x

5 0

2 years ago

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