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andreyandreev [35.5K]
2 years ago
14

A student bikes 1/4 miles to school. After school, the student bikes 1/3 miles to a cousin’s house. Finally, the student bikes 7

/12 miles home. If the student bikes the same path every day, Monday through Friday, and does not bike on the weekends, how many miles does the student bike in 2 weeks? A11 2/3 miles B5 5/6 miles C2 1/3 D1 1/6 miles
Mathematics
1 answer:
lorasvet [3.4K]2 years ago
7 0

Answer:

1/4+1/3+7/12=1 1/6

1 1/6 times 10 =

11 4/6 or 11 2/3 A

Hope This Helps!!!

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Answer:

Your final answer is $528.92

Step-by-step explanation:

499 + 8\% = 538.92

538.92 - 10 = 528.92

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p-value = 0.0063

Step-by-step explanation:

PLEASE CHECK ATTACHMENT FOR COMPLETE SOLUTION AND STEP BY STEP EXPLANATION

7 0
3 years ago
(a) The function k is defined by k(x)=f(x)g(x). Find k′(0).
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Answer:

(a) k'(0) = f'(0)g(0) + f(0)g'(0)

(b) m'(5) = \frac{f'(5)g(5) - f(5)g'(5)}{2g^{2}(5) }

Step-by-step explanation:

(a) Since k(x) is a function of two functions f(x) and g(x) [ k(x)=f(x)g(x) ], so for differentiating k(x) we need to use <u>product rule</u>,i.e., \frac{\mathrm{d} [f(x)\times g(x)]}{\mathrm{d} x}=\frac{\mathrm{d} f(x)}{\mathrm{d} x}\times g(x) + f(x)\times\frac{\mathrm{d} g(x)}{\mathrm{d} x}

this will give <em>k'(x)=f'(x)g(x) + f(x)g'(x)</em>

on substituting the value x=0, we will get the value of k'(0)

{for expressing the value in terms of numbers first we need to know the value of f(0), g(0), f'(0) and g'(0) in terms of numbers}{If f(0)=0 and g(0)=0, and f'(0) and g'(0) exists then k'(0)=0}

(b) m(x) is a function of two functions f(x) and g(x) [ m(x)=\frac{1}{2}\times\frac{f(x)}{g(x)} ]. Since m(x) has a function g(x) in the denominator so we need to use <u>division rule</u> to differentiate m(x). Division rule is as follows : \frac{\mathrm{d} \frac{f(x)}{g(x)}}{\mathrm{d} x}=\frac{\frac{\mathrm{d} f(x)}{\mathrm{d} x}\times g(x) + f(x)\times\frac{\mathrm{d} g(x)}{\mathrm{d} x}}{g^{2}(x)}

this will give <em>m'(x) = \frac{1}{2}\times\frac{f'(x)g(x) - f(x)g'(x)}{g^{2}(x) }</em>

on substituting the value x=5, we will get the value of m'(5).

{for expressing the value in terms of numbers first we need to know the value of f(5), g(5), f'(5) and g'(5) in terms of numbers}

{NOTE : in m(x), g(x) ≠ 0 for all x in domain to make m(x) defined and even m'(x) }

{ NOTE : \frac{\mathrm{d} f(x)}{\mathrm{d} x}=f'(x) }

4 0
3 years ago
A women buys 23 pounds of potatoes. She gives 10% of them to a neighbor and 15% of them to her mother. How many pounds dose she
vlabodo [156]

Answer:

= 17.25 pounds (Answer)

Step-by-step explanation:

Potatoes she bought = 23 pounds

Amount she gave outsiders= 10+15=25%

= 23×25/100= 23/4=5.75 pounds

Potatoes left with her= 23 — 5.75

= 17.25 pounds (Answer)

4 0
2 years ago
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Anyone know this I’m stuck?
alexandr1967 [171]

Answer:

The answer is B.

Step-by-step explanation:

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3 years ago
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