1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
castortr0y [4]
2 years ago
10

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

Mathematics
1 answer:
Finger [1]2 years ago
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
A research center is interested in investigating the height and age of children who are between 5 to 9 years old. In order to do
Rashid [163]

Answer:

0.940

Step-by-step explanation:

Given the data:

Age in years(X) _____Height(Y)

7 _________ 47.3

8 _________48.8

5 __________41.3

8 _________ 50.4

8 ___________51

7 __________47.1

7 __________46.9

7 ___________48

9 __________51.2

8 __________51.2

5 __________40.3

8 __________48.9

6 __________45.2

5 __________41.9

8 __________49.6

The proportion of Variation explained by the line of best fit in a regression model can be determined by calculating the Coefficient of determination (R²) of the model.

Using the online R² calculator, the variation in the sample values of height which is estimated by the model is 0.9696² = 0.94012416.

Hence about 0.94 or 94% variation in sample values of height is estimated by the model while (1 - 0.94 = 0.06 or 6%) is explained by other factors.

5 0
3 years ago
Please help me branniest
sweet [91]
I dont know if I'm right or not but I believe the answer is b, because you cant solve for x with only these numbers.
4 0
3 years ago
Evaluate the expression <br><br> 8z + 3; z=8
weqwewe [10]
<span>Simplifying 8z + 3z = 8 Combine like terms: 8z + 3z = 11z 11z = 8 Solving 11z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '11'. z = 0.7272727273 Simplifying z = 0.7272727273</span>
3 0
4 years ago
Which set represents the domain of function shown? {(-3,6),(0,2),(4,7),(11,15)}
ValentinkaMS [17]

Answer:

{-3,0,4,11}

Step-by-step explanation:

{(-3,6),(0,2),(4,7),(11,15)}

The domain is the input values, or x coordinates

{-3,0,4,11}

8 0
3 years ago
12 yds
Anton [14]

Answer:

176 square yards

Step-by-step explanation:

<u><em>The picture of the question in the attached figure N 1</em></u>

we know that

The area of the walkway around the rectangular pool, is equal to the area of two trapezoids (#1 and #2), plus the area of two smaller rectangles (#3 and #4)

see the attached figure N 2 to better understand the problem

step 1

Find the area of the two trapezoids (#1 and #2)

A=2[\frac{1}{2}(b_1+b_2)h]

simplify

A=(b_1+b_2)h

we have

b_1=12\ yd\\b_2=4+12+4=20\ yd\\h=4\ yd

substitute

A=(12+20)(4)=128\ yd^2

step 2

Find the area of the two smaller rectangles (#3 and #4)

A=2[LW]

we have

L=4\ yd\\W=6\ yd

substitute

A=2[(4)(6)]=48\ yd^2

step 3

Find the area of the walkway around the rectangular pool

128+48=176\ yd^2

8 0
4 years ago
Read 2 more answers
Other questions:
  • Which incondicional is not a good definition
    13·1 answer
  • Solve for x<br> 5+x+(−2)=−8
    14·2 answers
  • What is the range of the given function?
    5·1 answer
  • The slope of the point (-2,3) and (1,-1) on the graph ​
    14·1 answer
  • Townsend Office Supplies received an order for 1,599 tacks. If each box in the shipment contains 39 tacks, how many boxes do the
    6·1 answer
  • The top portion of the Washington Monument is a square pyramid. The dimensions are shown in the net to the nearest foot.
    8·2 answers
  • Please help!! due soon, if explained i’ll give brainlest thanks! please be serious!!
    5·2 answers
  • To factor a<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle" class="la
    6·2 answers
  • Choose all options that apply.
    9·2 answers
  • Maxden wanted to measure the length of the objects below.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!