Answer:
Step-by-step explanation:
In logarithmic functions, if we have an exponent say the 
in 
, we can "pull it down" from the power and multiply it next to the log.
Anzelm wants to burn 540 calories while jogging. Jogging burns about 12 calories per minute.
he usually plans to stop and rest for about 5 minutes.
m represents the total minutes.
12 calories per minute.
for m minutes the calories burn is 12m
He stop and rest for about 5 minutes. so we need to subtract 5 from total minutes
So expression becomes 12(m-5)
He wants to burn 540 calories. So we set the calories = 540
The equation becomes ,
12(m-5) = 540
Now we solve for m , total number of minutes
12(m-5) = 540(divide by 12 on both sides)
m - 5 = 45
m = 50 ( add 5 on both sides)
Anzelm should plan to be out jogging for 50 minutes
Answer:
y + 1 = 4/3(x - 9)
Step-by-step explanation:
Point-slope form: y - y₁ = m(x - x₁)
Substitute the numbers into the equation:
y - (-1) = 4/3(x - 9)
y + 1 = 4/3(x - 9)
1. --> d
2. --> b
3. --> a
4. --> c
1 is d because that is the only piece of information that sounds like a given.
2 is b because we know that from the given, m∠1 is complementary to m∠2 and in the first problem, m∠1 + m∠2 = 90, they are added together. The definition of complementary angles is "Two angles with measures that, when added together, equal 90 degrees". Same thing with m∠3 and m∠2.
3 is a because since both of the problems equal 90 degrees, you can just take away the 90 and put an equal sign in between the two problems because they equal the same thing.
4 is c because you are subtracting m∠2 from the problems and ending up with just m∠1 = m∠3.
Hope this helps! :)
Answer: 0.12
Step-by-step explanation: Well since 5/5=1 and in this case 3/5 of 0.2 or
3/5 x 0.2 = 0.12miles of the bridge is finished. to check do 0.2*2/5 since 2/5+3/5=5/5 or the total 0.2miles. so 0.2*2/5 =0.8 and 0.8+0.12= 0.2
