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
Whitepunk [10]
3 years ago
11

A thermometer is taken from a room where the temperature is 23oC to the outdoors, where the temperature is −9oC. After one minut

e the thermometer reads 15oC.
(a) What will the reading on the thermometer be after 4 more minutes?
(b) When will the thermometer read −8oC?
Mathematics
1 answer:
Helga [31]3 years ago
3 0

Answer:

(a)\ 15\textdegree C\\(b)\ After\ 3\ minutes\ and\ 52.5\ Seconds\ from\ start

Step-by-step explanation:

Temperature in the room =23\textdegree C

Decrease in the temperature(outdoors)=23-15=8\textdegree C in 1\ minute.

Rate of decrease=8\textdegree C/minute

Let\ after\ x\ minutes\ temperature\ is\ y\\y=23-8x\ \ \ \ y\geq -9\textdegree C

(a) After 4\ more\ minutes\ total\ time\ is=1+4=5\ minutes

y=23-5\times 8\\y=-17\\

But it is not possible as outdoor temperature is -9\textdegree C so after -9\textdegree C temperature decrease will not occur.

Hence after 4 more minutes temperature=-9\textdegree C

(b) Let after t\ minutes temperature is -8\textdegree C

Here x=t,\ y=-8\textdegree C

-8=23-8x\\8x=23+8\\8x=31\\x=\frac{31}{8}\\x=3.875\ minutes=3\ minutes\ and\ 52.5\ seconds

You might be interested in
Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4
slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 48, \sigma = 4.

Which interval describes how long it takes for passengers to board the middle 95% of the time?

This is between the 2.5th percentile and the 97.5th percentile.

So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975

Lower Limit

Z has a pvalue of 0.025 when Z = -1.96. So

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 48}{4}

X - 48 = -1.96*4

X = 40.16

Upper Limit

Z has a pvalue of 0.975 when Z = 1.96. So

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 48}{4}

X - 48 = 1.96*4

X = 55.84

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

7 0
3 years ago
The rapper NFL Oldgeezer has released some details about one of his upcoming albums. He states that the album is 39 minutes long
MissTica

Answer:

13 songs

Step-by-step explanation:

If you divide the 39 minutes by the 3 minutes you will find how many songs are on the album.

39/3 = 13

So, there are approximately 13 songs on the album.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

5 0
3 years ago
Need help with question a
SVEN [57.7K]

Answer:

1.8 cm

6.3 cm²

Step-by-step explanation:

AC⊥BC

BD=BC=x

  • (x+5)²+x²=7²
  • x²+10x+25+x²=49
  • 2x²+10x- 24=0
  • x²+5x-12=0
  • x=1.8

BC= 1.8 cm

Area of ABC= 1/2*1.8*7= 6.3 cm²

4 0
3 years ago
Wee-Mobile is offering a cell phone family plan for its users. The breakdown of the cost of the plan per month is given below.
Stells [14]

The total cost for a 6-month plan for n lines is represented by the equation:

Cost = 660n + 100

This equation is in the slope intercept form. The coefficient of n represents the slope here.

In the given scenario the slope can be interpreted as the total variable cost for one line for a period of 6 months.

The variable costs are associated with a line are:

1) Unlimited data cost ($40 per month). So for 6 months this cost will be $240

2) Unlimited Call cost ($10 per month). So for 6 months this cost will be $60

3) Unlimited Text Message Cost ($10 per month). For 6 months this cost will be $60.

4) Cost of Phone ($300 per line)

Adding these costs up we get: 240 + 60 + 60 + 300 = $660

Thus, 660 represents the total cost per line for unlimited data, calls, text message and one phone for 6 months. Therefore, option A gives the correct answer.

8 0
3 years ago
What is the perimeter of rectangle JKLM?
egoroff_w [7]

Answer:

16

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • If a store credit account charges 1.5% interest each<br> month, what is the APR?
    8·2 answers
  • I really need help on this
    6·1 answer
  • The perimeter of parallelogram ABCD is equal to 10 cm. Find the length of diagonal BD if you know that the perimeter of △ABD is
    12·1 answer
  • (8n+1)(6n-3) please solve in quadratic formula
    8·1 answer
  • . A box in a certain supply room contains four 40-W lightbulbs, five 60-W bulbs, and six 75-W bulbs. Suppose that three bulbs ar
    11·1 answer
  • Write an expression with an exponent that has a value between 0 and 1
    10·1 answer
  • What’s the answer to. -4w &gt; 12*
    7·1 answer
  • Please help its algebra:(((
    13·1 answer
  • 1. Will has a spinner with eight equal sections numbered one through eight. If Will spins the spinner 240 times, how many
    6·2 answers
  • ANSWER ASAP PLEASEEE
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!