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bulgar [2K]
3 years ago
9

Scientific Notation: what’s (2.2 x 10 to the -4) - (3 x 10 to the 2)

Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

2.23\times10^4

Step-by-step explanation:

In order to get the answer to this question you need to turn the scientific notations into standard form then subtract the two standard forms.

(2.2\times10^{-4})-(3\times10^2)

Turn the notations into standard form:

2.2\times10^{-4} = .00022

3\times10^2=300

.00022-300=22300

=22300

Turn into notation form:

22300 = 2.23\times10^{4}

Hope this helps.

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PLEASE HELP!!<br><br> Question in picture below
Oksanka [162]

Step-by-step explanation:

Absolute error = 300-286

=14 pounds

Percentage error = 14/286 x 100%

=4.8951

=4.9%

4 0
3 years ago
Read 2 more answers
16x^2 - 49 when factored is ?
vaieri [72.5K]

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

This is called the Difference of Two Squares (DOTS).

These are the conditions that must be met for DOTS to work:

•There must be 2 terms.

•They must be separated by a negative sign.

•Each term must be a perfect square.

First, you have to find 2 square numbers that times together to make 16.

4×4=16

As we want 16x², you just need to make the 4 become 4x:

4x times 4x equals 16x²

Then, find 2 squares that times together to make 49.

7×7=49

You can put the two squares into a bracket with the x variable first, then the number:

(4x-7)(4x+7)

In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.

You can double check your answer by expanding it back out again using FOIL:

F-First

O-Outer

I-Inner

L-Last

Times the First two in the two brackets:

4x times 4x equals 16x²

Times the Outer two:

4x times 7 equals 28x

Times the Inner two:

-7 times 4x equals -28x

Times the Last two:

-7 times 7 equals -49

Form an equation:

16x²+28x-28x-49

The 28x cancel out to leave:

16x²-49

Hope this helps :)

3 0
3 years ago
The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the deale
marusya05 [52]

The number of cars that sold on the third week is (P3=26)

The number of cars that sold on the first week is (P4=33)

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

<u>Given:</u>

  • The number of cars that sold on the first week is (P0=7)
  • The number of cars that sold on the second week is (P0=12)

We have to find the number of cars being sold on the upcoming week

From the data given above, frame the equation

Pn = Pn −1+7   ( 12-5=7  it denotes the cars sold in the first and the second  week)

Pn=5+7n (cars in the first week and the cars sold in the second week into "n" n is used to find the cars sold in the upcoming weeks)

(If n=3)

Pn=5+7(3)

Pn=26

The number of cars that sold on the third week is (P3=26)

(If n=4)

Pn=5+7(4)

Pn=33

The number of cars that sold on the first week is (P4=33)

5 0
3 years ago
Like terms 4x + 2x + 7x
nasty-shy [4]
Since the 3 of them are like terms, we have to ADD all 3 of them.

4x+2x+7x= 13x
4 0
3 years ago
Read 2 more answers
Kyle received the following course grades for 10​ (three-credit) courses during his freshman​ year:
timofeeve [1]

Answer:

(a) The average grade point is 2.5.

(b) The relative frequency table is show below.

(c) The mean of the relative frequency distribution is 0.3333.

Step-by-step explanation:

The given data set is

4, 4, 4, 3, 3, 3, 1, 1, 1, 1

(a)

The average grade point is

Average=\frac{\sum x}{n}

Average=\frac{4+4+4+3+3+3+1+1+1+1}{10}

Average=2.5

Therefore the average grade point is 2.5.

(b)

\text{Relative frequency}=\frac{\text{Frequency of number}}{\text{Total frequency}}

The relative frequency table is show below:

x                 f                  Relative frequency

4                3                 \frac{3}{10}=0.3

3                3                 \frac{3}{10}=0.3

1                 4                 \frac{4}{10}=0.4

(c)

Mean of the relative frequency distribution is

Average=\frac{0.3+0.3+0.4}{3}

Average=0.3333

Therefore the mean of the relative frequency distribution is 0.3333.

4 0
3 years ago
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