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
Effectus [21]
3 years ago
7

bowl of soup is heated to 50 degrees above room temperature. The soup drop about 5 degrees every minute. About how much time wil

l it take for the temperature of the soup to return to room temperature?
Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer: it will take 10 minutes to get back to room temperature.

Step-by-step explanation:

Let us assume that the room temperature is 25 degrees. The current temperature of the soup before the decrease would be 25 + 50 = 75 degrees.

The soup drop about 5 degrees every minute. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 75 degrees

d = - 5 degrees (it is decreasing)

n = t

We want to determine how long it will take to get back to 25 degrees, . Therefore,

25 = 75 -5 (t - 1) = 75 - 5t

5t = 75 - 25 = 50

t = 50/5 = 10 minutes

You might be interested in
Pythagorean theorem digital escape, can you find the length and area and type the correct code?​
matrenka [14]

Answer:

A=13825

Step-by-step explanation:

5 0
2 years ago
The area of the rectangle as a single expression
Ne4ueva [31]

Answer: A=15x^2+6x-48

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

A=l*w

Where "l" is the length and "w" is the width.

You can identify from the figure that the length and the width of this rectangle are:

length=3(x+2)\\width=5x-8

Then, you need to substitute this lenght and this width into A=l*w:

A=3(x+2)(5x-8)

Now, apply Distributive property:

A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48

Finally, you need to add the like terms. Then, you get:

A=15x^2+6x-48

5 0
3 years ago
Please help IM OFFERING ALOT OF POINTS !!!!
VMariaS [17]

Answer:

cos 2Ф = - 161/289 , tan 2Ф = - 240/161

Step-by-step explanation:

* Lets explain how to solve the problem

∵ cos Ф = - 8/17

∵ Ф lies in the 3rd quadrant

- In the 3rd quadrant sin and cos are negative values, but tan is

 a positive value

∵ sin²Ф + cos²Ф = 1

∴ sin²Ф + (-8/17)² = 1

∴ sin²Ф + 64/289 = 1

- Subtract 64/289 from both sides

∴ sin²Ф = 225/289 ⇒ take √ for both sides

∴ sin Ф = ± 15/17

∵ Ф lies in the 3rd quadrant

∴ sin Ф = -15/17

∵ cos 2Ф = 2cos²Ф - 1 ⇒ the rule of the double angle

∵ cos Ф = - 8/17

∴ cos 2Ф = 2(-8/17)² - 1 = (128/289) - 1 = - 161/289

* cos 2Ф = - 161/289

∵ tan 2Ф = sin 2Ф/cos 2Ф

∵ sin 2Ф = 2 sin Ф × cos Ф

∵ sin Ф = - 15/17 and cos Ф = - 8/17

∴ sin 2Ф = 2 × (-15/17) × (-8/17) = 240/289

∵ cos 2Ф = - 161/289

∴ tan 2Ф = (240/289)/(-161/289) = - 240/161

* tan 2Ф = - 240/161

3 0
3 years ago
You have 5,814 feet of rope that you need to cut into 27-foot sections. How many sections of rope will you have?
natta225 [31]

5814/27 = 215.33

215 x 27 = 5805

5814-5805 = 9

 Answer is B 215 sections with 9 feet left over

8 0
2 years ago
Solve 4(5)^x= 500.<br> help please
sladkih [1.3K]

Answer:

x=3

Step-by-step explanation:

Isolate x.

4(5)^x=500 Divide both sides by four

5^x=125 Take log_{5} of both sides. In other words, what power must you raise 5 to in order to get 125? (5^3=125)

x=3

7 0
2 years ago
Other questions:
  • Keisha bought cups of coffee and bagels for the people in her office. Each bagel cost $2 and each cup of coffee cost $1.50. Keis
    5·1 answer
  • Which of the statements about the following quadratic equation is true?
    15·2 answers
  • People tend to evaluate the quality of their lives relative to others around them (Frieswijk et al., 2004). In one study, resear
    10·1 answer
  • For the point Pleft parenthesis 5 comma 2 right parenthesis and Qleft parenthesis 12 comma 7 right parenthesis​, find the distan
    9·1 answer
  • Shana ran 6miles in 1 week. this is one third of what she ran in the month. let m represent the number of miles shana ran in a l
    14·1 answer
  • para ayudar a una fundación, algunos estudiantes de grado séptimo decidieron reunir alimentos y donarlos. Andrea aporto 2,5 hg d
    12·1 answer
  • What is the total surface area??? HELP IM CONFUSED
    6·1 answer
  • Look at the image. The School PTA spent 54% of its annual budget on sixth-grade
    7·1 answer
  • The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the
    12·2 answers
  • Aaden has a points card for a movie theater.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!