MATHEMATICS HIGH SCHOOL

Which choice is equivalent to the expression below?2^8.24

A. 2^8+2^2/10+2^4/100
B.2^82^2/102^4/100
C. 2^8*2^24/10
D.2^8+2/10+4/10

Answers

Answer 1

Answer:

Answer:

$2^(8)\cdot 2^{(2)/(10)}\cdot 2^{(4)/(100)}$

B is correct

Step-by-step explanation:

Given: $2^(8.24)$

Using exponent law,

$x^(a+b)=x^a\cdot x^b$

Expand exponent 8.24

Position of each digit:

8 ⇒ It is at tens place (1 x 8)

2 ⇒ It is at tenth place (1/10 x 2)

4 ⇒ It is at hundredth place (1/100 x 4 )

$8.24=8+.2+.04$

$8.24=8+(2)/(10)+(4)/(100)$

$2^(8.24)=2^{8+(2)/(10)+(4)/(100)}$

Using exponent law

$2^(8.24)=2^(8)\cdot 2^{(2)/(10)}\cdot 2^{(4)/(100)}$

Hence, The equivalent expressionis $2^(8)\cdot 2^{(2)/(10)}\cdot 2^{(4)/(100)}$

Answer 2

Answer: B is your answer because if you check each one in the calculator B is the same as the expression and also 2^8 makes up the first part and the second half makes up the .24

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What is a hard problem that equals to 44?

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Simplify the following quantity.
Then convert it to units of " Hz " :

- (88 π) cosine(180°) x (2π)⁻¹ cycles per second .

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The derivative is just the slope. So it's constant negative for the line up to x=-3. Then we have a parabola that will go linearly from a positive slope to zero at the origin to a negative slope at x=3. Then a constant positive slope.

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A square pond is to be built in a park. The pond is 50 meters long and 50 meters wide. There should be a tile sidewalk 5 meters wide all around the pond. The tile is sold in crates of 45 square meters of tile. What will the tile cost if the cost of each box of tile is $74

Answers

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14.4% of 72.5 is what

Answers

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Hope this helped :)

14.4% of 72.5 is 10.44

Determine the intercepts of the line. yy y y -intercept: (\Big( ( left parenthesis ,, , comma )\Big) ) right parenthesis xx x x -intercept: (\Big( ( left parenthesis ,, , comma )\Big) ) right parenthesis

Answers

Final answer:

To find the y and x intercepts of a line, set x and y to zero individually and solve the equation for y and x respectively. For example, in the equation y = 2x - 3, the y-intercept is (0, -3) and the x-intercept is (3/2, 0).

Explanation:

In Mathematics, when finding the intercepts of a line, we need to set y and x to zero individually and solve for x and y respectively. This will give us our x and y-intercepts. Let's say you have a line represented by the equation y = 2x - 3.

To find the y-intercept, you set x = 0 and solve for y. In that equation, if we substitute x with 0, we get y = 2*0 -3 which simplifies to y = -3. Thus, the y-intercept is (0, -3).

Similarly, to get the x-intercept, we set y = 0 and solve for x. In the equation, if we substitute y with 0, we get 0 = 2x -3. If we solve this, we find that x = 3/2. So, the x-intercept is (3/2, 0).

Learn more about Intercepts here:

brainly.com/question/14180189

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PLEASE HELP Write an equation in standard form of the line that passes through the given point
and has the given slope.
1. (2,-4); m= 2/3
2. (5, -3); m - 2
3. (6,0); m= 3/4
4. (-1, 2); m - 7
5. (-3,-5), m=13
6. (4,0); m - -5