MATHEMATICS HIGH SCHOOL

What is the value of 3 to the power 2 over 3 to the power 4? A. 1 over 81 B. 1 over 27 C. 1 over 9 D. 1 over 3

Answers

Answer 1

Answer:

Answer:

Option C is correct.

Step-by-step explanation:

Given Expression:

$(3^2)/(3^4)$

We need to find Value of given expression.

Consider,

$(3^2)/(3^4)$

$\implies3^(2-4)$

$\implies3^(-2)$

$\implies(1)/(9)$

Therefore, Option C is correct.

Answer 2

Answer: One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do $3^((2-4))$ since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get $3^(-2)$ , which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.

Related Questions

One root of the quadratic equation x^2 − 2x + m = 0 is 9. If the other root is n, what is n−m?
Every 3 hours, a machine produces 150 baskets. What is the unit rate of this proportional relationship in basket per hour?50 baskets1 hour150 hours3 baskets50 hours1 basket150 baskets3 hours2.34
Graph the function. Identify the vertex and axis of symmetryf(x) = –x2 – x + 2
What is 2y+3=3 (y+7)
Which Statement is true?A. |-8| < |8|B. |-2| > 1C. |-7| = -7D. |12| > |-15|

There are 1,000 fish in a lake. Each year the population declines by 15%, but afterward, the lake is restocked with 500 aditional fish. Write a recursive rule to find the number of fish in the lake for any year

Answers

We begin with 1,000 fish in a lake.
Each year the population declines to 15%
Then they put back 500 fish in the lake.

The equation: (1000 * .85) +500

The question below refers to the selection “The Tyger from Songs of Experience” by William Blake.In “The Tyger” the stars probably symbolize —
a. the tiger
c. fellow poets
b. angels
d. humankind

Answers

Angels, because heaven is mentioned "When the stars threw down their spears/ And water'd Heaven with their tears" (Blake 17-18)

Is it ever possible for the domain and range in a function to have different numbers of entries (for example, 3 domain entries to 5 range entries, or 2 range entries to 7 domain entries)? What happens when this is the case?

Answers

No , & More Than Likely If It Is To Happen It's Because The Domain Entry Repeated A Number Mulitiple Times

Final answer:

The number of entries in the domain and range of a function can be different. Some inputs in the domain may have the same output in the range, or some outputs in the range may have no corresponding inputs in the domain.

Explanation:

In a function, the number of entries in the domain and range can be different. This happens when there are multiple inputs that map to the same output or when there are outputs with no corresponding inputs.

For example, consider the function f(x) = $x^2$ . The domain can be any real number, but the range is only non-negative real numbers (including zero). So, there are more entries in the domain than in the range.

When this is the case, it means that some inputs in the domain have the same output in the range, or some outputs in the range have no corresponding inputs in the domain.

Learn more about Domain and Range here:

brainly.com/question/36903938

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From a point p on level ground, the angle of elevation of the top of a tree is 60°. If the tree is 39m high, how far is its base from p

Answers

Hello,

tan 60°=√3
d/39=tan 60°==>d=39/√3=39√3/3=13√3=22,516660498... (m)

Solve for x
logx+log(x-4)=2log5

Answers

$\log{x} + \log{(x-4)} = 2 \log{5}\n\n\log{\big(x(x-4)\big)} = \log{5^2}\n\n\log{(x^2-4x)} = \log{25} \n\nx^2-4x = 25\n\nx^2-4x-25=0 \n\nx = (4 \pm√(16+100))/(2) \n\nx = (4\pm2√(29))/(2) \n\nx = 2 \pm √(29) \n\n\text{But } x > 0 \implies x = 2 + √(29)$

$D:x>0\wedge x>4\nD:x>4\n\n\log x+\log(x-4)=2\log5\n\log x(x-4)=\log25\nx(x-4)=25\nx^2-4x-25=0\nx^2-4x+4-29=0\n(x-2)^2=29\nx-2=√(29) \vee x-2=-√(29)\nx=2+√(29) \vee x=2-√(29)\n2-√(29)\not>4\n\Downarrow\n\boxed{x=2+√(49)}$

If two angles are supplementary, they must __________.add up to
add up to
be adjacent
be congruent

Answers

supplementary angles add up to 180

If two angles are supplementary, their sum is 180º and they can be expressed as x and 180-x. If they are congruent ,then the two angles are equal:
x=180-x
2x=180
x=90º and 180-x=90º
The 2 angles have to add to 180 degrees

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the length of side AB is twice the length of side AC. Write an expression for the perimeter of the triangle

Sean is trying to decide if a cell is a plant or animal cell. He studies the cell and is able to determine the function of many of the structures in it. Which notable structure can help him identify the cell?a structure that breaks down waste and other materials in the cell—only animal cells have structures with this functiona structure that breaks down sugar molecules to provide energy—only plant cells have structures with this functiona structure that converts energy from sunlight into chemical energy—only plant cells have structures with this functiona structure that can store water, waste, food, and other materials—only animal cells have structures with this function