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3 years ago

Explain why the exponents cannot be added in the product 12^3 x 11^3

1 answer:

4 0

1. Exponent in the given numbers cannot be added because in multiplication law of exponents, it is now allowed to add 3 exponents.
=> Given number 12^3 x 11^3
let’s show how it works
=> (12 x 12 x 12) x (11 x 11 x 11)
=> 1 728 x 1 331
=> 2 299 968
Now, let’s try adding the exponent if it will result to the same product
=> 12^3 x 11^3
=> 132^6
=> (132 x 132 x 132 x 132 x 132 x 132 )
=> 5 289 852 801 024 (the answer is wrong)

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What are the exact solutions of x^2 − 3x − 7 = 0?

bulgar [2K]

Given:

The given equation is $x^{2} -3x-7=0$

We need to determine the exact solutions of the equation.

Exact solution:

The exact solution of the equation can be determined by solving the equation using quadratic formula,

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

$x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}$

$x=\frac{3 \pm \sqrt{9+28}}{2}$

$x=\frac{3 \pm \sqrt{37}}{2}$

Thus, the exact solutions of the given equation is $x=\frac{3 \pm \sqrt{37}}{2}$

Hence, Option A is the correct answer.

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3 years ago

How to find the surface area of a prism

Anuta_ua [19.1K]

Answer:

If you are talking about the rectangular prism the equation is

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If you are talking about Triangular prism the equation is

B × H + L × S + L × B + L × C

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3 years ago

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil. What would one pencil and one

vladimir2022 [97]

It is given in the question that

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil.

Let the cost of pencil is $ x .

Therefore cost of pen is

$$(x+0.40)$

According to the question

$12(x+0.40)+20x =16$

Distributing 12 and combining like terms, we will get

$12x+4.8+20x=16\\32x = 11.2\\x = 0.35$

Therefore cost of pencil is $0.35 and cost of pen is

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4 years ago

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Deffense [45]

Answer:

Step-by-step explanation:

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3 years ago

You're pretty sure that your candidate for class president has about 55% of the votes in the entire school. but you're worried t

Pavlova-9 [17]

Part A:

A component is one voter's vote. An outcome is a vote in favour of our candidate.
Since there are 100 voters, we can stimulate the component by using two randon digits from 00 - 99, where the digits 00 - 54 represents a vote for our candidate and the digits 55 - 99 represents a vote for the underdog.

Part B:

A trial is 100 votes. We can stimulate the trial by randomly picking 100 two-digits numbers from 00 - 99. Whoever gets the majority of the votes wins the trial.

Part C:

The response variable is whether the underdog wants to win or not. To calculate the experimental probability, divide the number of trials in which the simulated underdog wins by the total number of trials.

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3 years ago