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3 years ago

Why is (5+2) to the second power is not equal to 5 to the second power plus 2 to the second power is not equal

2 answers:

7 0

This answer is a lot easier to find if you write out the math. 5 to the second power (or 5X5) is 25 and 2 to the second power (or 2X2) is 4, so they add together for a sum of 29 (25+4=29). As for (5+2) to the second power, both five and two are taken to the second power, however when you distribute there are middle terms that result as well. A good way to approach it is to use the foil method, which stands for First, Outter, Inner, Last.
So (5+2) to the second power can also be written:
(5+2)(5+2)
First: 5X5 =25
Outter: 5X2 =10
Inner: 2X5 = 10
Last: 2X2 =4
And all of that adds up for a total of 49.

Olin [163]3 years ago

3 0

Because 5 +2 is 7 and seven to the second power is 49. On the other hand 5 squared is 25 and 2 to the second power is 4 when you ad them together you get 29 you are taking to completely different numbers to the power of two and that’s why they aren’t equal

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Which of the following functions is graphed below.

Valentin [98]

Answer: Option A

$y=\left \{ {{x^2 +2;\ \ x$

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is $y = x ^ 2 +2$

Then we have an equation line $y = -x + 2
$

Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

(this is $x< 1$ )

Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

(this is $x\geq 1$ )

Then the function is:

$y=\left \{ {{x^2 +2;\ \ x$

7 0

3 years ago

Paul has an eight-year loan with a principal of $26,900. The loan has an interest rate of 8.18%, compounded quarterly. If Paul p

babymother [125]

Answer:

The answer is "option b"

Step-by-step explanation:

Amount = $26,900

r= 0.0818 %

$i=\frac{r}{4}\\\\$

$=\frac{0.0818}{4}\\\\=0.02045$

t= 8 years

$n= 8 \times 4$

$=32$

$D=\frac{1-(1+i)^{-n}}{i}\\$

$=\frac{1-(1+0.02045)^{-32}}{0.02045}\\\\=\frac{1-(1.02045)^{-32}}{0.02045}\\\\=\frac{1-0.52319627}{0.02045}\\\\=\frac{0.47680373}{0.02045}\\\\=23.3155858$

$Q= \frac{Amount}{Discount \ factor }\\$

$=\frac{26900}{23.3155858} \\\\=1153.73468$

Payment $=1153.73468 \times 32\\\\$

$= \$ 36919.5098\\$

$\text{Total interest = Payment - amount}$

$= \$ 36919.5098 - \$ 26900 \\\\ = \$ 10019.5098$

$\text{Finance charge = Total interest + service charge}$

$= \$ 10019.5098 + \$ 1527\\\\ = \$ 11546.5098$

3 0

3 years ago

PLEASE ANSWER ASAP!!!

qwelly [4]

Answer:

D, E

Step-by-step explanation:

It’s not A because the equation can not be any pair of numbers.

It’s not B because that is stupid logic.

It’s not C because (3,4) and (10,8) don’t work

It’s not F because there is 1 solution

5 0

3 years ago

Please help me 1 through 9

8_murik_8 [283]

Answer:

1) the angles are congruent, or the same

2) the angles are complementary, or add up to 90 degrees

3) the angles add up to 180 degrees

4) the angle is a right angle

5) they are congruent

6) they are complementary angles, or add up to 90 degrees

7) they are supplementary angles, or add up to 180 degrees

8) angle 1 is congruent to angle 4

9) angle K is supplementary to angle L

Step-by-step explanation:

8 and 9 are transitivity

The other statements correspond with the sentence starters.

5 0

3 years ago

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st

cluponka [151]

Answer:

12.3

Step-by-step explanation:

Step 1

We find the mean

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100

Mean = Sum of terms/Number of terms

Number of terms = 10

Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10

Mean = 844/10

Mean = 84.4

Step 2

Standard deviation

The formula for sample standard deviation =

√(x - Mean)²/n - 1

= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1

=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1

= √1364.4/9

= √151.6

= 12.31259518

Approximately to the nearest tenth = 12.3

The standard deviation = 12.3

6 0

2 years ago