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kati45 [8]
3 years ago
13

Mo had 14 tutoriang session. each session was 35 minutes long. How many minutes did Mo spend in the 14 session Combined?

Mathematics
1 answer:
ddd [48]3 years ago
5 0

Answer:

430 minutes total

Step-by-step explanation:

Mo had 35 minutes sessions 14 times. You have to multiply 35 by 14 to get the answer which is 430 minutes.

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The area of a circle is 9π in². What is the circumference, in inches? Express your answer in terms of \piπ
dangina [55]

Answer:

6\pi in

Step-by-step explanation:

The formula to find the area of a circle: \pi r^{2}, where r is the radius.

The formula to find the circumference (perimeter) of a circle: 2\pi r, where r is the radius.

1) To find the circumference of the circle, we need to find the radius (r) first. Since the area of the circle is given to us, we need to equate this to the formula to find the area of a circle.

9\pi =\pi r^2

Cancel the \pi by bringing it to the other side.

9 =\pi r^2 ÷ \pi

9 = r^2\\\sqrt{9} = r\\3 = r

2) Find the circumference of the circle by using the formula, 2\pi r.

=  2*\pi *3

= 6\pi in

3 0
2 years ago
Solve by Elimination<br> 2x+5y=9<br> 3x-5y=11
shepuryov [24]

Answer:

x = 4 , y = ⅕

Step-by-step explanation:

2x + 5y = 9 (1)

3x - 5y = 11 (2)

Add (1) and (2)

5x = 20

x = 4

Using (1), find y

2(4) + 5y = 9

5y = 1

y = ⅕

8 0
3 years ago
Read 2 more answers
Find the inverse of each function. Is the inverse a function? f(x)=x⁷
Luda [366]

The inverse of the function x^7 is x^-7 and it is also a function.

An inverse function or an anti function is defined as a function, which can reverse into another function.

A standard method to find inverse of a function is to set y=f(x)

let y= f(x)=x^7

thus

\sqrt[7]{y}=x

thus f^{-1}(y)=\sqrt[7]{y}

thus f^{-1} (x)=\sqrt[7]{x}

(To verify this if a function is inverse or not we are required to check for the identity)

f(f^{-1}(x))=f^{-1}(f(x))=x

Therefore, The inverse of the function x^7 is x^-7 and it is also a function.

For further reference:

brainly.com/question/2541698?referrer=searchResults

#SPJ4

3 0
1 year ago
Determine what type of model best fits the given situation:
lilavasa [31]

Answer:

I believe it is linear

Step-by-step explanation:

because if you are talking about percentage then it should be done on a linear graph so therefore i believe the answer is linear..................if i am incorrect i am very sorry but i believe i am correct.

7 0
3 years ago
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
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