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astra-53 [7]
3 years ago
15

Spencer wants to burn 450 calories while biking. Biking burns about 10 calories per minute. When Spencer goes biking, he usually

plans to stop and rest for about 15 minutes. Complete the equation below to find the total number of minutes (including rest) that Spencer shold plan to be out biking. Use m to represent the total minutes.
Mathematics
1 answer:
alexdok [17]3 years ago
3 0
It's 60 minutes because 450÷10 is 45 so he has to bike for 45 minutes and a 15 minute break would make it 60 minutes
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Question 26 Comparing Powers
marysya [2.9K]
3^y power because it was stated that y is greater than x so a number to the power of y will always be greater than a number to the power of x. Btw that looks a lot like the one I have lol
8 0
4 years ago
Prove that n is odd if and only if 3n + 6 is odd by contradiction.
Reil [10]

Step-by-step explanation:

o - odd number

e - even number

n + e =o, if n is odd...rule 1

n + e = e, if n is even...rule 2

n × o = o, if n is odd...rule 3

n × o = e, if n is even...rule 4

thus if 3n +6 = o,

then 3n must be odd, following rule 1

=> 3n = o, then n is an odd number, following rule 3

4 0
3 years ago
3
Marianna [84]

The expression into a single logarithm is log[(x)^{10}][(2)^{30}]

Step-by-step explanation:

Let us revise some logarithmic rules

  • log(a)^{n}=nlog(a)
  • log(ab)=log(a)+log(b)
  • nlog(a)+mlog(b)=log[(a)^{n}][(b)^{m}]

∵ 10 log(x) + 5 log(64)

- At first re-write 10 log(x)

∴  10 log(x) = log(x)^{10}

- Then re-write 5 log(64)

∴  5 log(64) = log(64)^{5}

∴ 10 log(x) + 5 log(64) = log(x)^{10} + log(64)^{5}

- Use the 3rd rule above to make it single logarithm

∵ log(x)^{10} + log(64)^{5} = log[(x)^{10}][(64)^{5}]

∴ 10 log(x) + 5 log(64) = log[(x)^{10}][(64)^{5}]

∵ 64 = 2 × 2 × 2 × 2 × 2 × 2

∴ We can write 64 as 2^{6}

∴ (64)^{5}=(2^{6})^{5}

- Multiply the two powers of 2

∴ (64)^{5}=(2)^{30}

∴ 10 log(x) + 5 log(64) = log[(x)^{10}][(2)^{30}]

The expression into a single logarithm is log[(x)^{10}][(2)^{30}]

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

6 0
3 years ago
When you make the circle smaller which number in the standard equation for a circvle cnetered at the origin decreases?
melomori [17]
The radius changes which is the constant when the circle decreases in size and remains at the same center point.
4 0
3 years ago
Read 2 more answers
7/8m^3 +3-1/2m^3. can u please help me solve this
user100 [1]

Answer:

3m^3/8 + 3

Step-by-step explanation:

It can't be solved but that's the most simplified version.

3 0
3 years ago
Read 2 more answers
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