The rule of scientifinc notation is that we can use number between 0 and 10, so here we can use 2.8. Lets do this
280 000 000 = 2.8 * 100 * 1 000 000
Now we can just multiply 2.8 by 10 to the power of number of 0 reapeted
So
- its the result
Answer:
b = -125/9
Step-by-step explanation:
1 + log5 ( -9b) = 4
Subtract 1 from each side
1 -1+ log5 ( -9b) = 4-1
log5 ( -9b) = 3
Raise each side to the base 5
5^ log5 ( -9b) = 5^3
This will cancel the log5
-9b = 125
Divide each side by 9
-9b/-9 = 125/-9
b = -125/9
If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.
Explanation:
- The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.
- To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor = = = 0.2777.
- So the red image is dilated by a scale factor of 0.2777 to produce the blue image.
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
4(x - 2) = 3x + 1
Step 2: Solve for <em>x</em>
- <u>Distribute 4:</u> 4x - 8 = 3x + 1
- <u>Subtract 3x on both sides:</u> x - 8 = 1
- <u>Add 8 to both sides:</u> x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
- <u>Substitute:</u> 4(9 - 2) = 3(9) + 1
- <u>Parenthesis (add):</u> 4(7) = 3(9) + 1
- <u>Multiply:</u> 28 = 27 + 1
- <u>Add:</u> 28 = 28
To answer this question first you have to count the difference between the highest number with the lowest number.
In this case, the difference is: 40-12=28
After that, you need to determine the leaps in the sequence. In this case, there are 4 leaps.
After that divide the difference with the leaps : 28:4=7
Therefore the sequence will be 12 , 19, 26, 33, 40