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2 years ago

11

A local gym offers a trial membership for 3 months. It discounts the regular monthly fee x by $25. If the total cost of the tria

l membership is less than $100, you will consder signing up. What inequality can yu use to determine whether you should sign up?

1 answer:

kati45 [8]2 years ago

8 0

3(x - 25) < $100. We're not req'd to solve this.

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Water whose temperature is at 100∘C is left to cool in a room where the temperature is 60∘C. After 3 minutes, the water temperat

Tju [1.3M]

Answer:

21.68 minutes ≈ 21.7 minutes

Step-by-step explanation:

Given:

$T=60+40e^{kt}$

Initial temperature

T = 100°C

Final temperature = 60°C

Temperature after (t = 3 minutes) = 90°C

Now,

using the given equation

$T=60+40e^{kt}$

at T = 90°C and t = 3 minutes

$90=60+40e^{k(3)}$

$30=40e^{3k}$

or

$e^{3k}=\frac{3}{4}$

taking the natural log both sides, we get

3k = $\ln(\frac{3}{4})$

or

3k = -0.2876

or

k = -0.09589

Therefore,

substituting k in 1 for time at temperature, T = 65°C

$65=60+40e^{( -0.09589)t}$

or

$5=40e^{( -0.09589)t}$

or

$e^{( -0.09589)t}=\frac{5}{40}$

or

$e^{( -0.09589)t}=0.125$

taking the natural log both the sides, we get

( -0.09589)t = ln(0.125)

or

( -0.09589)t = -2.0794

or

t = 21.68 minutes ≈ 21.7 minutes

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3 years ago

In the figure, AE = 2, CE = 3, and DE = 4. What is the length of BE?

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The answer is c 5 welcome

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Read 2 more answers

There are 9 students in a service club. The club is making gift baskets for children in a hospital. Each club member donated 4 c

VladimirAG [237]

Answer:

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

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If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

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ehidna [41]

Y=x+3 because when x=0 y=3

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3 years ago

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Anna [14]

H’(-7,4) I’:(-7,8) J’:(-3,10) K’:(-3,4)

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3 years ago