MATHEMATICS HIGH SCHOOL

Which expression is equivalent to 24 1/3?
A. 2√3
B. 2^3√3
C. 2√6
D. 2^3√6

Answers

Answer 1
Answer: x^(m/n)=\sqrt[n]{x^(m)}
x^(1/3)=\sqrt[3]{24^(1)}
∛24=(∛8)(∛3)=2∛3
Answer 2
Answer:

Answer:

hi thereee,

the answer is

b. 2\sqrt[3]{3}

hope this helps, have a good day :)

Step-by-step explanation:

j took the quiz

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A step function h(x) is represented by y = –2⌊x⌋. Which phrase best describes the range of the function h(x)?

Answers

Answer:

The range of the function h(x) is all even integers.

Step-by-step explanation:

Range is the set of outputs and y values.

It is given that the function h(x) is represented by y = –2⌊x⌋.

Here, ⌊x⌋ represent the greatest integer function.

The greatest integers function is

f(x)=\begin{cases}-1 & \text{ if } -1\leq x<0 \n 0 & \text{ if } 0\leq x<1 \n1 & \text{ if } 1\leq x<2\n... & \text{ if } ... \nn & \text{ if } n\leq x<n+1 \end{cases}

Range of a greatest integer function is all integers.

The function is 2 times of greatest integer function.

h(x)=\begin{cases}2(-1) & \text{ if } -1\leq x<0 \n 2(0) & \text{ if } 0\leq x<1 \n2(1) & \text{ if } 1\leq x<2\n... & \text{ if } ... \n2(n) & \text{ if } n\leq x<n+1 \end{cases}

Therefore the range of h(x) is all even integers.
The value of step function is an integer number from negative infinity to positive infinity. So the phrase is "all the integer numbers, Z".

If f(x)=x/2+8, what is f(x) when x=10

Answers

13 because 10/2=5 then +8=13
F(X)=13 Just Plug 10 into the X in the equation

Help please?(3.5×10^−5)(3×10^−10) Express your answer in scientific notation.

1.05×10^−15
1.05×10^−14
1.05×10^−13
1.05×10^15

Answers

(3.5 x 10^-5)(3 x 10^-10) = (3.5 x 3) x 10^(-5 - 10) = 10.5 x 10^-15 = 1.05 x 10(1 - 15) = 1.05 x 10^-14
B . 1.05 x 10^-14
hope i helped

A 26-foot ladder is placed against a house and reaches the 24-foot roof. If you want to find the distance between the base of the ladder and the base of the house, which of the following triangles could you use to model the problem?PLEASE HELP! IT'S FOR A QUIZ!!! D:

Answers

Option B is correct, the second triangle would be used to find the  distance between the base of the ladder and the base of the house

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that a 26-foot ladder is placed against a house and reaches the 24-foot roof.

We have to find the distance between the base of the ladder and the base of the house.

The second triangle would be used to find the  distance between the base of the ladder and the base of the house

Hence, option B is correct, the second triangle with opposite side 24 ft and hypotenuse 26 ft is used to find the distance between the base of the ladder and the base of the house

To learn more on trigonometry click:

brainly.com/question/25122835

#SPJ3

Answer:

b or the second one

Step-by-step explanation:

What is 42/4 as a mixed number

Answers

42/4

DIVIDE THE TOP BY THE BOTTOM NUMBER. 42/4= 10 WITH 2 LEFT OVER
10 2/4 REDUCE BY DIVIDING BY 2

THE ANSWER IS 10 1/2

SORRY IT WOULD NOT LET ME EDIT
if you divide 42 and 4 you will get 10 remainder 2 the 2 turns into 2/4 so it's 10 and 2/4

Simplify. 5^-1(3^-2) (1 point)

Answers

5^-1x3^-2=1/5x1/3^2=1/5x1/9=1/(5x9)=1/45

Answer:

1/45

Step-by-step explanation:
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