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Marysya12 [62]
3 years ago
10

A can of soda is placed inside a cooler. As the soda cools, its temperature T (x) in degrees celsius is givien by the following

function, where x is the number of minute since the can was placed in the cooler.T(x)=-6+24e^-0.038xFind the intial temperature of the soda and its temperature after 20 mintues. Round your answers to the nearest degrees as necessary.Initial temperature:___ celsius.Temperature after 20 minutes:__celsius.
Mathematics
1 answer:
wel3 years ago
8 0

Answer:

Initial 18 degrees Celsius

After 20 minutes, 5 degrees Celsius

Step-by-step explanation:

It’s initial temperature can be calculated as at the time when x = 0

When x = 0, the temperature is -6+24 = 18 degrees Celsius

This is because the exponent part equals 1 since anything raised in to the power of zero is one.

After twenty minutes,

T(x) = -6 +24e^-0.038(20)

T(x) = -6 + 11.224 = 5.224

And that is approximately 5 degrees Celsius to the nearest degree

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An introductory psychology class has 9 freshman males, 15 freshman females, 8 sophomore males, and 12 sophomore females. A rando
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Answer:

The probability is \frac{16}{43}

Step-by-step explanation:

The psychology class has 9 freshman male, 15 freshman females, 8 sophomore male and 12 sophomore female.

Total population constitution of the class=

17 males and 27 females and 44 students in total.

If on selecting on the first attempt, a male has been picked up then the number of males for the picking up in the second attempt has to decrease by one.

Also, the total number of students from which it has to be selected also decreases by 1, because one child has already been selected.

Therefore for Second Attempt, Total 43 students and 16 males.

Probability=\frac{No.OfFavorableOutcomes}{TotalNo.OfOutcomes}

Probability=\frac{16}{43}

8 0
3 years ago
For what value of x is the rational expression below equal to zero?
pentagon [3]

Answer:

A.-10 should be the answer to the question..

6 0
3 years ago
dwight bought 10 acres of land and built a house on 2.0 acres. dwight wanted to plant beets on the remaining 8.0 acres. if it ta
aleksklad [387]

Using mathematical operations and unit conversions, the number of beets that Dwight can grow on the 8 acres is <u>3,885 beets</u>.

<h3>What are mathematical operations?</h3>

Mathematical operations include the use of basic math operators to calculate the values of mathematical statements.

The math operators include addition, multiplication, division, subtraction, exponentiation, and modulus.

<h3>Data and Calculations:</h3>

The measurement of the land = 10 acres

The measurement of the house on the land = 2 acres

The remaining space on the land = 8 acres

The number of beets on 1/8 (0.125) hectare = 150 beets

1 hectare = 2.47105 acres

8 acres = 3.23749 hectares (8/2.47105)

If 0.125 hectares = 150 beets

3.23749 hectares = 150/0.125 x 3.23749

= 3,885 beets

Thus, the number of beets that Dwight can grow on the 8 acres is <u>3,885 beets</u>.

Learn more about mathematical operations at brainly.com/question/20628271

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3 0
1 year ago
The bill for dinner was $34. You left $50 to pay for the meal and tip the server. What percent of the meal did you leave as a ti
9966 [12]

Answer:

16

Step-by-step explanation:

50 - 34 = 16

6 0
3 years ago
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give
goldfiish [28.3K]

Answer:

The given line segment whose end points are A(2,2) and B(3,8).

Distance AB is given by distance formula , which is

if we have to find distance between two points (a,b) and (p,q) is

=  \sqrt{(p-a)^2+(q-b)^2}

AB= \sqrt{(3-2)^2+(8-2)^2}=\sqrt{1+36}=\sqrt{37} = 6.08 (approx)

Line segment AB is dilated by a factor of 3.5 to get New line segment CD.

Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)

Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)

CD = AB × 3.5

CD = √37× 3.5

     = 6.08 × 3.5

= 21.28 unit(approx)

2. Slope of line joining two points (p,q) and (a,b) is given by

m=\frac{q-b}{p-a}

m= \frac{8-2}{3-2}=6

As the two lines are coincident , so their slopes are equal.

Slope of line AB=Slope of line CD = 6




6 0
3 years ago
Read 2 more answers
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