4^(12-4x)=256 realize that 256 is 4^4 so we really have:
4^(12-4x)=4^4 taking the natural log of both sides
(12-4x)ln4=4ln4 dividing both sides by ln4
12-4x=4 subtract 12 from both sides
-4x=-8 divide both sides by -4
x=2
Scientific notation is the representation of a number in a power of ten, with a sequence of digits placing the comma after the first digit, and the power or then that is mathematically consistent with the number. For example 400 is 4.00 * 10^2; 3100 is 3.100 * 10^4; 13421 = 1.3421 * 10 ^4. It is important that you have only one digit before the comma. So, 5,098,00 is 5.098 * 1,000,00 = 5.098 * 10^6. <span>The answer is the option c. 5.098 * 10^6.</span>
Answer:
x=3
Step-by-step explanation:
....................
Answer:
- The diagram bar is attached.
- Addition equation: 
- Multiplication equation: 
- How are the equation related? Each equation shows 3 groups of 7.
Step-by-step explanation:
We know that Jan buys 3 bags of beads and each bag contains 7 beads, then, you can draw the bar diagram shown attached.
Observe that the diagram has 3 blocks (each block represents a bag of bead) and there is a number 7 inside of each block (which is the number of beads contained in a bag).
Therefore:
- Add the numbers inside the blocks in order to get the addition equation that shows the number of beads Jan buys. This is:
- Multiply 3 blocks by 7 in order to get multiplication equation that show the number of beads Jan buys:
The equations are related. Each one shows 3 groups of 7.
Answer:
y=x+1
Step-by-step explanation:
1) <u>Find the </u><u>slope</u>
m=-3-4/-4-3
m=-7/-7
m=1
2) <u>Use </u><u>y</u><u>=mx+</u><u>c</u>
<u>by </u><u>using </u><u>the </u><u>point </u><u>(</u><u>3</u><u>,</u><u>4</u><u>)</u>
<u>4</u><u>=</u><u>1</u><u>(</u><u>3</u><u>)</u><u>+</u><u>c</u>
<u>4</u><u>=</u><u>3</u><u>+</u><u>c</u>
<u>c=</u><u>1</u>
3) <u>The </u><u>answer</u>
y=x+1
