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Ivanshal [37]
3 years ago
5

Jake completed a marathon race in 3 hours and 12 minutes. What would be Jake's running time as a decimal?

Mathematics
1 answer:
VikaD [51]3 years ago
4 0

\text{Given that Jake completed a marathon race in 3 hours and 12 minutes.}\\
\\
\text{we need to find this time in decimals. so we will convert 12 minutes into hours}\\
\\
\text{We know that there are 60 minutes in 1 hour. }\\
\\
\text{so in 1 minute there will be}=\frac{1}{60 }\text{ hour}

\text{hence in 12 minutes we have}=\frac{1}{60}\times 12=\frac{1}{5}=0.2 \text{ hours}\\
\\
\text{hence the Jake's running time is}=3\text{hours + 12 minute}\\
\\
=3\text{ hours}+0.2 \text{ hours}\\
\\
=3.2 \text{ hours}

Hence, Jake's running time in decimal is: 3.2 hours

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5/8+1/12 in the lowest terms
VladimirAG [237]

Answer:

17/24 i believe

Step-by-step explanation:

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Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper a
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Answer:

0.0032

Step-by-step explanation:

We need to compute e^{0.4} by the help of third-degree Taylor polynomial that is expanded around at x = 0.

Given :

e^{0.4} < e < 3

Therefore, the Taylor's Error Bound formula is given by :

$|\text{Error}| \leq \frac{M}{(N+1)!} |x-a|^{N+1}$   , where $M=|F^{N+1}(x)|$

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Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B?
tatyana61 [14]

Answer:

A ∩ B = {2, 4}

Step-by-step explanation:

Definition: The intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B.

For example:

If x∈A and x∈B

then;

x∈ A ∩ B

Given the sets:

A = {1, 2, 3, 4, 5} and B = {2, 4}

We have to find  A ∩ B.

By definition we have;

A ∩ B = {2, 4}

Therefore, the value of  A ∩ B is, {2, 4}

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2 years ago
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