Answer:
1 / ( 243s^40 )
Step-by-step explanation:
For this problem, we need to know that a negative exponent simply can be rewritten in the opposing part of the fraction, for this case, the denominator. So we can simplify as shown:
(3s^8)^-5
= 1 / (3s^8)^5
= 1 / 3^5 * s^8^5
= 1 / 243 * s^40
= 1 / ( 243s^40 )
Cheers.
Answer:
y= 2x -3
Step-by-step explanation:
The first thing you should know is that the slope of a perpendicular line is the opposite reciprocal. So, this is your current equation: y= 2x + b. Next, substitute your point into the equation to get the y-intercept. It should look like this: 9=2(6) + b. 6 times 2 equals 12. Now, this is what it should look like: 9=12 + b. Subtract 12 from both sides to get -3 = b. Go back to your original equation and plug in -3 to b. This is your final equation: y= 2x -3. Hope this helped!
Answer:
He needs 16 ounces of raisins and 8 ounces of nuts
Step-by-step explanation:
Let
x -----> the number of ounces of raisins
y -----> the number of ounces of nuts
we know that
x+y=24 -----> equation A
x=2y -----> equation B
Solve the system by substitution
Substitute equation B in equation A and solve for y
(2y)+y=24
3y=24
y=8 ounces of nuts
Find the value of x
x=2(8)=16 ounces of raisins
therefore
He needs 16 ounces of raisins and 8 ounces of nuts
Answer: 135 pounds
Step-by-step explanation:
600-60=540
540/4=135
