Factoring the difference of two squares x^2-1

Answers

Answer 1

Answer: difference of 2 perfect squres
if yo have
a^2-b^2 that equals (a-b)(a+b)

x^2-1^2=(x-1)(x+1)
tada

Answer 2

Answer: (X^2-1^2) (x-1)(x+1) I hope that is good!

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The figure shown is a rectangle. If you draw a new rectangle in which the dimensions are doubled, what is the relationship between the PERIMETERS of the two rectangles?A) The perimeter of the new rectangle is twice that of the original rectangle.
Eliminate
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D) The perimeter of the new rectangle is one-fourth that of the original rectangle.

Answers

the answer is A, sorry if you can't read it quite well

Situation: a 25 gram sample of a substance that’s used for drug research has a K-value of 0.1205N0(zero)= initial mass(at time t=0)
N= mass at time t
K= a positive constant that depends on the substance itself and on the units used to measure time
t= time, in days
Find the substances half-life, in days. Round your answer to the nearest tenths????

Answers

The decay model is given as

$N=N_0e^(-Kt)$

The substance's half-life is the time it takes for the substance to decay to half its original amount. In other words, it's the time $t$ such that $N=\frac{N_0}2$ . Substituting into the model, you have

$\frac12=e^(-Kt)$

You can solve for $t$ now.

$\frac12=e^(-Kt)$
$\implies\ln\frac12=\ln e^(-Kt)$
$\implies-\ln2=-Kt\ln e$
$\implies\frac{\ln2}K=t\approx5.7523\text{ days}$

What is 6.213 as a mixed number

Answers

6.213 as a mixed number would be 6 and 213/1000.

all you do to convert it to a mixed number is look at how many numbers are after the decimal.

since theres 3 numbers, that means it would be in the thousands place

A store pays $93 for a bicycle and marks it up by 58%. The final price is $146.94.True
False

Answers

false because when 146.94 of 58% is calculated it gives you $85 dollars which is less than $93 dollars ( the starting price )

Determine the smallest 6 digit number which is exactly divisible by 8,15,and21

Answers

Find the least common multiple of 8, 15, and 21. . . . . . It's 280 .

So all the numbers divisible by 8, 15, and 21 are all the multiples of 280.

The smallest 6-digit number is 100,000 .

100,000 / 280 = 357.1 , so the next whole-number multiple is the 358th one.

280 x 358 = 100,240 .

You can tell right away that this is the smallest one that qualifies,
because if you take away 280 and go to the next smaller multiple,
it won't have 6 digits anymore.

In a triangle, two of the angles measure 56° and 72°. Find the measure of the third angle.

Answers

In a triangle, the three interior angles always add to 180°.

56° + 72° + x° = 180°

128° + x° = 180° |subtract 128° from both sides

x° = 52°

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Angle 1 and angle 2 are a linear pair. Measure of angle 1 = x-36, and measure of angle 2 = x+84. Find the measure of each angle.

1x2(I572535x789)+345678x89/56