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Tcecarenko [31]
3 years ago
8

A train travels 68 kilometers in 2 hours, and then 64 kilometers in 3 hours. What is its average speed

Mathematics
1 answer:
skad [1K]3 years ago
5 0
Average speed is the distance traveled by an object in total and divided by the amount of time an object covers the distance. The formula is -
Average speed = total distance traveled / total time taken
                         = 68km+64km / 2 hrs.+3hrs.
                         = 132km / 5hrs.
                         = 26.4km/hr.
Therefore, the train's average speed is 26.4km/hr.
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A population of bacteria is changing exponentially according to the function below. How can you describe the bacteria population
Hitman42 [59]
A, it's always positive because B(0) = 400
C, the population is growing. you can tell because the base is the rate of growth 1.4 > 1
3 0
3 years ago
Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0). Part A: Find the length of each side of the triangle. Sho
deff fn [24]

Answer:

(a) Side lengths

RS = \sqrt{5}     ST = \sqrt{17}    RT = \sqrt{18}

(b) Slope

RS = \frac{1}{2}      RT = 1      ST = -4

(c) Scalene triangle

Step-by-step explanation:

Given

R = (2,3)

S = (4,4)

T = (5,0)\\

Solving (a): Length of each side

This is calculated using distance formula

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

So, we have:

RS = \sqrt{(4 - 2)^2 + (4 - 3)^2}

RS = \sqrt{5}

ST = \sqrt{(5 - 4)^2 + (0- 4)^2}

ST = \sqrt{17}

RT = \sqrt{(5 - 2)^2 + (0 - 3)^2}

RT = \sqrt{18}

Solving (b): The slope of each side

This is calculated using:

m = \frac{y_2 - y_1}{x_2 - x_1}

So, we have:

RS = \frac{4- 3}{4- 2}

RS = \frac{1}{2}

RT = \frac{0 - 3}{5- 2}

RT = \frac{ - 3}{- 3}

RT = 1

ST = \frac{0 - 4}{5- 4}

ST = \frac{- 4}{1}

ST = -4

Solving (c): Classify the triangle

In (a), we have:

RS = \sqrt{5}

ST = \sqrt{17}

RT = \sqrt{18}

None of the sides are equal;

The triangle is scalene

5 0
3 years ago
Please help me !!!! and explain !
Vladimir [108]

Find the scale factor of the two cylinders:

Figure A has an r of 4 and figure B has an r of 2:

2 / 4 = 0.50, so Figure B is half the size of Figure A.


Since you want the volume, which is measured in cubic units, you need to cube the scale factor:

0.5^3 = 0.125

Multiply the volume of Figure A by the scale factor:

352 x 0.125 = 44 cubic feet.

8 0
3 years ago
What is the answer to <br> -x/4-2=x+3
lyudmila [28]

Answer:

-4

Step-by-step explanation:

6 0
3 years ago
Jan's average score after fifteen tests was 82. Her average on the next five tests was 90. What was her average score for all tw
Leokris [45]

Answer:

86

Step-by-step explanation:

82+90=172

172/2 (divided by two because thats how many numbers we added up to get 172)

172/2=86

86 is your answer

4 0
3 years ago
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