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pentagon [3]
3 years ago
5

What is the prime factorization of 9

Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:3^2

Step-by-step explanation:

Find prime numbers that go into nine.

3 goes into to 9 3 times. 3 is a prime number so the prime factorization for nine is

3*3=3^2

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can someone give me a good explanation of scientific notation. simple but smart. i’m in algebra 1 honors
Kaylis [27]

Answer:

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form in the UK.

3 0
2 years ago
Find the 50th term of 0,3,6,9
nalin [4]

\text{a}_1=0 \ \text{and} \ \text{a}_2=3\\\\\text{r}=\text{a}_2-\text{a}_1=3-0=3\\\\\text{a}_{50}=\text{a}_1+49\text{r}=0+49\cdot3=0+147=147\\\\\huge\boxed{\text{a}_{50}=147}

7 0
3 years ago
The profit function for the first version of the device was very similar to the profit function for the new version. As a matter
NeTakaya

Answer:

a) - Compressing the P(new) function by a scale of 0.5 about the y axis.

- Moving the P(new) function down by 104 units.

b) The two simplified functions for P(original)

-0.08x² + 10.8x – 200.

-0.16x² + 21.6x – 504.

Step-by-step explanation:

Complete Question

An electronics manufacturer recently created a new version of a popular device. It also created this function to represent the profit, P(x), in tens of thousands of dollars, that the company will earn based on manufacturing x thousand devices: P(x) = -0.16x² + 21.6x – 400.

a. The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.

b. Write the two possible functions from part a in simplified form.

Solution

The equation for the new profit function is

P(x) = -0.16x² + 21.6x – 400

At x = 40, the original profit function is half the size of the new profit function

First, we find the value of the new profit function at x = 40

P(x) = -0.16(40)² + 21.6(40) – 400 = 208

Half of 208 = 0.5 × 208 = 104

P(original at x = 40) = P(new at x = 40) ÷ 2

Since we are told that P(original) is a simple transformation of the P(new)

P(original) = P(new)/2 = (-0.16x² + 21.6x – 400)/2 = -0.08x² + 10.8x – 200 ... (eqn 1)

Or, P(original) = 104

-0.16x² + 21.6x – 400 = 104

P(original) = -0.16x² + 21.6x – 400 - 104 = -0.16x² + 21.6x – 504.

So, the two functions that are simple transformations of P(new) to get P(original) are

-0.08x² + 10.8x – 200

Obtained by compressing the P(new) function by a scale of 0.5 about the y axis.

And

-0.16x² + 21.6x – 504.

Obtained by moving the P(new) function down by 104 units.

Hope this Helps!!!

4 0
3 years ago
James has a balance of $1,230 on his credit card that has an APR of 24%. He currently pays the minimum monthly payment of $30.75
Gnom [1K]

Answer:

B

Step-by-step explanation:

James can eliminate $25 from Food/Clothes and $27 from Entertainment

5 0
3 years ago
Read 2 more answers
Which is another way to check the sum of 104 + 34 + 228 + 877?
weqwewe [10]

By adding 104+34 and then 228+877, Then adding both of the results and finally subtracting the answer by one of the factors.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Explanation:

Which will be...

104+34=138

228+877=1,105

Then add them...

138+1,105=1,243

Finally, subtract your answer by one of the factors...

1,243-1,105

Which will result as 138. Which is also one of the factors you added earlier, that's basically what your looking fro when checking and subtraction and/or addition problem.

5 0
3 years ago
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