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3 years ago

Select the correct answer.

Mathematics

1 answer:

vredina [299]3 years ago

8 0

B this is because the hypotenuse is 8 and during the special right triangle(45,45,90) to find the hyp is xv2

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Simplify 2 to the fifth power over 3 squared all raised to the fourth power. 2 to the twentieth power over 3 to the eighth power

Murrr4er [49]

2 to the fifth power over 3 squared all raised to the fourth power

$\left(\dfrac{2^5}{3^2}\right)^4=\dfrac{(2^5)^4}{(3^2)^4}=\dfrac{2^{5\cdot4}}{3^{2\cdot4}}=\dfrac{2^{20}}{3^8}$

Answer: 2 to the twentieth power over 3 to the eighth power

Used:

$\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\(a^n)^m=a^{n\cdot m}$

7 0

3 years ago

2) Consider the quadratic sequence 72, 100, 120, 132

valina [46]

9514 1404 393

Answer:

Tn = -4n² +40n +36

Step-by-step explanation:

A graphing calculator readily performs the quadratic regression, yielding the formula ...

Tn = -4n² +40n +36

The first and second differences of the given sequence terms are ...

28, 20, 12 and -8, -8

The coefficient of the squared term is half the second difference, so is -4. Then the sequence of squared terms is -4n²:

-4, -16, -36, -64

Subtracting these values from the original sequence gives the linear sequence ...

76, 116, 156, 196

which has first term 76 and common difference 40. The equation for the n-th term of this is ...

an = 76 +40(n -1) = 36 +40n

Adding this linear sequence to the sequence of squared terms, we get ...

Tn = -4n² +40n +36

3 0

3 years ago

What is the simplified form of the expression

kirza4 [7]

1.First multiply 4(2y) and 4(6) which gives you (8y-24).
2.Then write out the whole problem: (15y-8y-24).
3.Subtract 15y-8y first since they have equal terms. That will give you 7y.
4.Now you have (7y-24).
Hoped this helps!!:-)))

6 0

3 years ago

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You want to put some money in a simple interest account. it pays 8% interest annually for 2 years. you would like to earn $500 i

kicyunya [14]

P=i/rt
P=500/(0.08*2)
P=3,125

7 0

4 years ago

Someone please help me! I'm stuck on the question.

Alexeev081 [22]

Answer:what’s the question asking?

Step-by-step explanation:

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3 years ago