MATHEMATICS HIGH SCHOOL

A 65.0 gram sample of some unknown metal at 100.0° C is added to 100.8 grams of water at 22.0° C. The temperature of the water rises to 27.0° C. If the specific heat capacity of liquid water is 4.18 J/ (°C × g), what is the specific heat of the metal?2.25 J/ (°C × g).
1.75 J/ (°C × g).
0.444 J/ (°C × g).
0.324 J/ (°C × g).

Answers

Answer 1
Answer: heat gained by the metal = heat lost by the water
65.0* Cs * (100.0°C - 27.0°C) = 100.8 g * 4.18 J/(°Cxg) * (27.0°C - 22.0°C)

Cs = 100.8 * 4.18 * 5.0 / (65.0 * 73) J/(°Cxg) = 0.444J/(°Cxg)

Answer: the fhird option, 0.444 J/(°Cxg)

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The length of a rectangle is twice the width.The perimeter of the rectangle is 24.What is the value of the width?

Answers

Hope it helped

ThankYou

The water level drops 6 inches over 2 an a half days by how much did it change each day?

Answers

Answer:

2.4

Step-by-step explanation:

6/2.5=2.4

A quarterly telephone bill consist of N$79.15 rental plus 4.7 cents for each dialled unit. Sales tax is added at 15%. What is the total bill for Mrs. Jones who used 915 dialled units?

Answers

Answer:

$140.48

Step-by-step explanation:

Let x represent dialed units.

We have been given that a quarterly telephone bill consist of $79.15 rental plus 4.7 cents for each dialed unit.

4.7 cents = $0.047

Cost of dialing x units would be 0.047x.

Total cost of dialing x units would be 0.047x+79.15.

Let us find cost of dialing 915 units by substituting x=915 in above expression.

0.047(915)+79.15

43.005+79.15

122.155

Now, we will find 15% of sales tax as:

122.155* (15)/(100)

122.155* 0.15

18.32325

Total bill: 18.32325+122.155=140.47825\approx 140.48

Therefore, Mrs. Jonas's bill would be $140.48.
$4.7 × 915 = 4300.5
$4300.5 + 79.15 = 4379.65
15% of 4379.65 = 656.9475
4379.65 + 656.9745 = 5036.6245
Mrs. Jones' Bill was $5036.63
(Rounded to the nearest 1/10)

Check all that apply. The center of gravity of a triangular solid with uniform thickness and density is... A. The point at which one can balance the triangle.
B. The point shared by a triangle's altitudes.
C. The centroid.
D. The orthocenter.

Answers

The answers are options A and C. The center of gravity of a triangular solid with uniform thickness and density is the centroid which is the point at which one can balance the triangle. It is the center of mass of an object with uniform density.

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?2x + 3x + 9
2x + 3 + 9
2x + 3x + 9x
2 + 3x + 9

Answers

Answer:

2x+3x+9

Step-by-step explanation:

In first half,

Let number of 2-point shots=x

Points scored on free throws=9

Point scored in x number of 2-point shots=2x

In second half,

Number of 3-point shots=number of 2-point shots in first half=x

Point scored in x number of 3-point shots=3x

Therefore, the player scored total number of points in the game is given by

2x+3x+9

Hence, the expression which represents the total number of points scored by player in the game is given by

2x+3x+9

Answer:A

Step-by-step explanation:

2x + 3x + 9

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B. draw a diagram of the flag marking in the diagonal. mark the length and the width in terms of x.
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Answers

A. 2x B. draw a rectangle with a line ad label accordingly C. W^2 + D^2 =L^2

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