Answer:
![= 1.14 \times 10^{7}pounds](https://tex.z-dn.net/?f=%20%3D%201.14%20%5Ctimes%2010%5E%7B7%7Dpounds)
Step-by-step explanation:
If each whales weighed
![3.8 \times {10}^{5}](https://tex.z-dn.net/?f=3.8%20%5Ctimes%20%20%7B10%7D%5E%7B5%7D%20)
Then 30 whales weighed
![30 \times 3.8 \times {10}^{5}](https://tex.z-dn.net/?f=30%20%5Ctimes%203.8%20%5Ctimes%20%20%7B10%7D%5E%7B5%7D%20)
![=114 \times {10}^{5}](https://tex.z-dn.net/?f=%20%3D114%20%5Ctimes%20%7B10%7D%5E%7B5%7D%20)
![= 1.14 \times 10^{2} \times {10}^{10}](https://tex.z-dn.net/?f=%20%3D%201.14%20%5Ctimes%2010%5E%7B2%7D%20%20%5Ctimes%20%7B10%7D%5E%7B10%7D%20)
Applying the law of indices we obtain
![= 1.14 \times 10^{(2+ 5)}](https://tex.z-dn.net/?f=%20%3D%201.14%20%5Ctimes%2010%5E%7B%282%2B%205%29%7D)
![=1.14 \times 10^{7}pounds](https://tex.z-dn.net/?f=%20%3D1.14%20%5Ctimes%2010%5E%7B7%7Dpounds)
Answer:
Solving mathematics isn't as difficult as we think.All you have to do is follow the steps and practice more questions
practice makes perfection
Answer:
The answer is
![\huge \boxed{y = 3x - 10}](https://tex.z-dn.net/?f=%20%20%20%5Chuge%20%5Cboxed%7By%20%3D%203x%20-%2010%7D)
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20%20y_1%20%3D%20m%28x%20-%20%20x_1%29)
where
m is the slope
( x1 , y1) is the point
From the question the point is (2, 4) and the slope is 3
The equation of the line is
![y - 4 = 3(x - 2) \\ y + 4 = 3x - 6 \\ y = 3x - 6 - 4](https://tex.z-dn.net/?f=y%20-%204%20%3D%203%28x%20-%202%29%20%5C%5C%20y%20%2B%204%20%3D%203x%20-%206%20%5C%5C%20y%20%3D%203x%20-%206%20-%204)
We have the final answer as
![y = 3x - 10](https://tex.z-dn.net/?f=y%20%3D%203x%20-%2010)
Hope this helps you
Answer:
![w^{40}](https://tex.z-dn.net/?f=w%5E%7B40%7D)
Step-by-step explanation:
To simplify recall exponent rules:
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Use rule #3 to simplify inside the parenthesis first.
![\frac{w^{15}}{w^5} = w^{10}](https://tex.z-dn.net/?f=%5Cfrac%7Bw%5E%7B15%7D%7D%7Bw%5E5%7D%20%20%3D%20w%5E%7B10%7D)
Now simplify the exponent of 4 using rule 6.
![(w^{10})^4 = w^{40}](https://tex.z-dn.net/?f=%28w%5E%7B10%7D%29%5E4%20%3D%20w%5E%7B40%7D)
Walking 10 blocks consumes 75 calories so... You add another 75 wich is calories and then divide 75/2. 75+75+37.5=187.5 calories!