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Sunny_sXe [5.5K]
3 years ago
12

Michael is training for a marathon. In his first week he plans to run 8 miles. Which path should he take?

Mathematics
2 answers:
slega [8]3 years ago
8 0

Answer:

Is there more information in the problem?

Step-by-step explanation:

Vinvika [58]3 years ago
8 0

Answer:

c

Step-by-step explanation:

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a beauty salon buys bottles of styling gel for $4.50 per bottle and marks up the price by 40%. for what price does the salon sel
I am Lyosha [343]
40%=0.4
0.4+1=1.4

4.5(1.4)=6.3

The answer is $6.30
7 0
3 years ago
Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p
Maksim231197 [3]
If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:

p ... profit
g ... glasses of lemonade

f(g) = p = g * $1 - $50

The correct result would be f(g)<span> = g * $1 - $50.</span>
5 0
3 years ago
Read 2 more answers
Write the word sentence as an inequality. Then solve the inequality.
aleksley [76]
The answer is 4x>_-12. the underscore is the line under the “>”
6 0
3 years ago
Read 2 more answers
Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4
arsen [322]

we are given

R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k

now, we can find x , y and z components

x=cos(8t),y=sin(8t),z=8ln(cos(t))

Arc length calculation:

we can use formula

L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt

x'=-8sin(8t),y=8cos(8t),z=-8tan(t)

now, we can plug these values

L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt

now, we can simplify it

L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8sec(t) dt

now, we can solve integral

\int \:8\sec \left(t\right)dt

=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|

now, we can plug bounds

and we get

=8\ln \left(\sqrt{2}+1\right)-0

so,

L=8\ln \left(1+\sqrt{2}\right)..............Answer

5 0
2 years ago
11 + 5 + 22 × 12 − 10
Masteriza [31]
Follow PEMDAS

22 x 12 = 264

11 + 5 = 16

264 + 16 = 280

280 - 10 = 270

270 is your answer

hope this helps
6 0
3 years ago
Read 2 more answers
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