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1 year ago

Which of the following shows the prime factorization of 36 using exponential notation?

Mathematics

1 answer:

Daniel [21]1 year ago

4 0

Answer:

The prime factorization of 36 using exponential notation is $2^2 \times 3^2$

Step-by-step explanation:

Given: number 36

We have to show the prime factorization of 36 using exponential notation.

Prime factorization is representing a number in form of products of its primes.

Consider the given number 36

36 can be written as 2 × 2 × 3 × 3

In exponential notation it can be written as $2^2 \times 3^2$

Thus, the prime factorization of 36 using exponential notation is $2^2 \times 3^2$

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Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign

ikadub [295]

Answer:

508.8 seconds

Step-by-step explanation:

The most accurate determination mathematically is to assume that Lola will maintain an average of 5.3 seconds per signature as she signs all 96 invitations.

Therefore, multiply the time it takes her to sign each invitation (5.3 seconds) by the total number of invitations there are (96 invitations) to get the projected total amount of time that it will take Lola to sign all 96 invitations: $96\cdot 5.3=\boxed{508.8\text{ seconds}}$

8 0

1 year ago

Read 2 more answers

A group of entomologists has determined that the population of ladybugs at a local park can be modeled by the equation y = − 1.4

Oksanka [162]

<h3>Answer:</h3>

A) 177.568 thousand.

B) 125.836 thousand.

<h3>Step-by-step explanation:</h3>

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

$y = -1.437 x + 197.686$

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

$y = -1.437 (14) + 197.686$

Now, we solve.

$y = -1.437 (14) + 197.686\\\\\text{Multiply -1.437 and 14}\\\\y=-20.118+197.686\\\\\text{Add}\\\\y=177.568$

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

$y = -1.437 (50) + 197.686$

Now, we solve.

$y = -1.437 (50) + 197.686\\\\\text{Multiply -1.437 and 50}\\\\y=-71.85+197.686\\\\\text{Add}\\\\y=125.836$

This means that the population of ladybugs in 2060 would be 125.836 thousand.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

7 0

2 years ago

The ceiling of Katie’s living room is a square that is 10 ft long on each side. Katie knows the diagonal of the ceiling from cor

CaHeK987 [17]

Answer:

Answer: 14 feet. a. The Pythagorean theorem is a^2 + b^2 = c^2, where a and b are the sides of a right angle. By plugging in the sides of the wall, and solving for c, you can find the answer. 10^2 + 10^2 = c^2

| 100 + 100 = c^2 | 200 = c^2 | c = sqrt 200 | c = 14. The other way to solve this would be using the trig functions. You know that the angle between the hypotenuse and the wall side is 45 degrees, so you can use Sine to determine the hypotenuse. Sine is equal to opposite over hypotenuse. Sin (45) = 10/h | Sin (45) * h = 10 | h = 10/Sin (45) | h = 14. Both of the methods result in 14.

Read more on Brainly.com - brainly.com/question/16274528#readmore

Step-by-step explanation:

5 0

1 year ago

En un campamento de refugiados, cada refugiado recibe la misma ración de comida si se van a repartir 162 paquetes de galletas 32

natali 33 [55]

Hay 162 refugiados en el campamento. Si hubiera mas de 162, ya no recivirian la misma racion de comida. Cada uno recive un paquete de galletas, dos paquetes de arroz y pienso k una botella y media de agua (aunque lo de el agua suene un poko ilogico).

8 0

2 years ago

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

wolverine [178]

<u>ANSWER</u>

$9\: < x \leqslant0$