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3 years ago

Find each percent change 40 to 2

Mathematics

1 answer:

Nostrana [21]3 years ago

3 0

The question we need to ask is what percent of 2 is 40?

40 is 20 times 2 so 20 would be 2,000%

We need to subract 100% from any percent change:

2,000% - 100% = 1,900%

ANSWER: 1,900%

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Prove that the difference between 9th square number and 5th square number is a multiple of 8?

Yuki888 [10]

Answer:

Step-by-step explanation:

9th square number = 81

5th square number=25

81-25=56

56 is a multiple of 8 as 8 x 7=56

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3 years ago

Exponential Equation WITHOUT CALCULATOR

Alborosie

Multiply both sides of the first equation by $2^x$ :

$2^x-2^{-x}=4\implies 2^{2x}-1=4\cdot2^x\implies 2^{2x}-4\cdot2^x-1=0$

This is quadratic in $2^x$ ; to make this clear, substitute $y=2^x$ . Then

$y^2-4y-1=0\implies y=2\pm\sqrt5$

One of these solutions for $y$ is negative. But, if $x$ is real, then $y=2^x$ is always supposed to be positive, so we can throw out the negative root, leaving $y=2+\sqrt5$ .

We actually don't have to solve for $x$ exactly. We can just rewrite the next two equations in terms of $y$ .

$2^{2x}+2^{-2x}=(2^x)^2+(2^{-x})^2=y^2+\dfrac1{y^2}$

$2^{3x}-2^{-3x}=y^3-\dfrac1{y^3}$

Since $y=2+\sqrt5$ , we get

$(2+\sqrt5)^2+\dfrac1{(2+\sqrt5)^2}=18$

$(2+\sqrt5)^3-\dfrac1{(2+\sqrt5)^3}=76$

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4 years ago

What is a positive minus a positive

avanturin [10]

Answer:

Subtracting a positive number from a positive number......this is normal subtraction

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3 years ago

What is 15680 rounded to the nearest thousand

Lesechka [4]

N exact answer can not be obtained with these numbers. Sometimes an exact answer is not required. To round numbers to the nearest thousand, make the numbers whose last three digits are 001 through 499 into the next lower number that ends in 000. For example, 6424 rounded to the nearest thousand is 6000.

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3 years ago

Read 2 more answers

Consider the following triangle side lengths and determine if the triangle could exist. Justify your answer. Part A: 21,18,17 Pa

Misha Larkins [42]

Answer:

A yes, B no

Step-by-step explanation:

The triangle inequality states that the sum of any 2 sides of the triangle must be greater than the third side.

A Given 21, 18, 17 , then

21 + 18 = 39 > 17

21 + 17 = 38 > 18

18 + 17 = 35 > 21

Thus the triangle could exist

B Given 3, 12, 8 , then

3 + 12 = 9 > 8

3 + 8 = 11 < 12 ← fails the test

Thus the triangle does not exist

7 0

3 years ago