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Evgesh-ka [11]
3 years ago
9

There's a one time fee of $27 to join the gym the monthly cost of using the gym is $18 write an equation for the relationship th

at gives the total cost Y in dollars of joining the gym and using it for X months
Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

y = 18x + 27
with y equaling the total and x equaling the number if months
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In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment t
GaryK [48]

Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:

A(t) = A(0)(1 - r)^t

A(t) = 500(1 - 0.08)^t

A(t) = 500(0.92)^t

At the 13th day, the mass is given by:

A(13) = 500(0.92)^{13} = 169.1

More can be learned about exponential functions at brainly.com/question/25537936

5 0
2 years ago
Please help me !
Alik [6]
Solve for x in the second equation first

8 0
3 years ago
Read 2 more answers
if you subtract 17 from my number and multiply the difference by -6 the results is -138 what is Sarah's number
likoan [24]

Answer:

40

Step-by-step explanation:

let the unknown be y (x is used as times(multiplication) )

(y-17)x-6=-138

add /-6 to both sides

y-17x-6/-6=-138/-6

y-17=23

make y independent/add 17 to both sides

y-17+17=23+17

y=40

or in an easier way

-138/-6 =23

23+17=40

simply reversing the question to get the answer

7 0
3 years ago
Suppose you need to know an equation of the tangent plane to a surface S at the point P(4, 1, 4). You don't have an equation for
Alex777 [14]

Answer:

15x-8y+9z=88

Step-by-step explanation:

We are given that

Equation of curves

r_1(t)=

r_2(u)=

Both curves lie on S.

We have to find the equation of tangent plane at P(4,1,4).

r'_1(t)=,r'_2(u)=

r_1(0)=, r_2(1)=

Hence, t=0 and u then it satisfied the given point.

Substitute the values in the derivatives

r'_1(0)=,r'_2(1)=

r'_1(0)\times r'_2(1)=\times =

The equation of tangent at point P(4,1,4) is given by

30(x-4)-16(y-1)+18(z-4)=0

30x-120-16y+16+18z-72=0

30x-16y+18z=176

15x-8y+9z=88

5 0
3 years ago
Write an inequality that represents eight less than 3 times a number is more than 22​
SCORPION-xisa [38]

Answer:

3x-8>22

Step-by-step explanation:

3 times a number = 3x

8 less = -8

more than 22 = >22

Put them together and you get:

3x-8>22

8 0
3 years ago
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