All categories

2 years ago

The table shows the temperature of a cooling cup of coffee.

1 answer:

6 0

Based on the given table, the common ratio, explicit formula and temperature of the coffee after 15 minutes is 0.98, Tn = 97 × 0.98^(n-1) and 73.1°C

<h3>Geometric sequence</h3>

Common ratio, r = second minutes / first minutes

= 95.1 / 97

= 0.98041237113402

Approximately,

r = 0.98

nth term of the sequence, Tn = ar^n -1

Tn = 97 × 0.98^(n-1)

Temperature of the coffee after 15 minutes, T15 = 97 × 0.98^(n-1)

= 97 × 0.98^(15-1)

= 97 × 0.98^14

= 97 × 0.7536419414749019520643907584

= 73.1032683230654893502459035648

Approximately,

T15 = 73.1°C

Learn more about common ratio:

brainly.com/question/1509142

#SPJ1

You might be interested in

(-6.7x 2 + 2.3x y + 5.2) - (-14.9x 2 - 3.5x y + 7.1)

zloy xaker [14]

(13.4 + 2.3y + 5.2) - (29.8 - 3.5y + 7.1)
(18.6 + 2.3y) - ( -29.8 - 3.5y)
18.6 + 2.3y + 29.8 + 3.5y
18.6 + 29.8 + 2.3y + 3.5y
41.3 + 5.8y

5 0

3 years ago

1 Batch Fruit Salad contains : 1 1/2 c apples, 1 3/4 c grapes, 1/2 c raisins, 2 2/4 c bananas, 3/4 c coconut, 1 2/4 c cherries a

rosijanka [135]

The batch of fruit salad has an equal amount of apples and cherries. This is because there are 1 1/2 c of apples and 1 2/4 c of cherries. the 1 1/2 is already simplified but the 1 2/4 is not. 1 2/4 is the same as 1 1/2, therefore apples and cherries have equal amounts.

3 0

3 years ago

Juan told Sylvia he got a $0.50 raise this week and his new hourly rate will be $10.25 an hour. Sylvia wants to know what Juan’s

zhenek [66]

Answer:

The correct answer is:

r + 0.50 = 10.25: Subtract .50 from both sides. The answer is $9.75.

This is because Juan got a $0.50 raise which means that his new rate will be $0.50 more than his original rate (r).

6 0

3 years ago

Read 2 more answers

Suppose 7x+14 ice cream cones were sold on Saturday and 6x-8 were sold on sunday what is the total number of ice cream cones sol

IrinaVladis [17]

The answer would be 13x+6.
(7x+14)+(6x-8)
Combine like terms to get 13x+6

4 0

4 years ago

Use green's theorem to find integral subscript c left parenthesis y space plus space e to the power of square root of x end expo

Flauer [41]

My best interpretation of the math here is that you're talking about the line integral,

$\displaystyle \int_C \left(y+e^{\sqrt x}\right) \, dx + \left(2x + \cos\left(y^2\right)\right) \, dy$

I won't bother trying to decipher what look like multiple choice solutions.

By Green's theorem, the line integral above is equivalent to

$\displaystyle \iint_D \frac{\partial\left(2x+\cos\left(y^2\right)\right)}{\partial x} - \frac{\partial\left(y+e^{\sqrt x}\right)}{\partial y} \, dx \, dy$

where D is the set

$D = \left\{ (x, y) : 0 \le x \le 1 \text{ and } 0 \le y \le x^2 \right\}$

Compute the double integral:

$\displaystyle \int_0^1 \int_0^{x^2} \left(2 - 1\right) \, dy \, dx = \int_0^1 \int_0^{x^2} dy \, dx = \int_0^1 x^2 \, dx = \boxed{\frac13}$

7 0

3 years ago