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3 years ago

The graph below shows the velocity f(t) of a runner during a certain time interval:

Mathematics

2 answers:

Serga [27]3 years ago

7 0

First you draw the graph described by the problem to see a better picture of the situation. From the problem the points on the graph are (0,6), (6,8) and (8,0). The first point meant that at time zero the velocity is 6m/s. Then when time is at 8 sec the velocity is zero. The answer to the question is the last choice.

Snezhnost [94]3 years ago

3 0

When graphs are plotted, graphs as in the .jpeg image in attachment are obtained.
First graph is line going through ordered pair (point) (0,6) and pair (6,8).
The second graph is line going through ordered pair (6,8) and pair (8,0).
Intercept of these graphs is point (ordered pair) (6,8).
You see from the .jpeg image that the following is true:
Initial velocity of the runner is 6 meters per second (runner starts with this velocity), for a while he runs, velocity grows, then in the 6th second (time=6), runner starts to slow down and velocity starts to decrease, and runner stops totally at time = 8.
So runner stops after 8 seconds.
The 4th claim (sentence) is correct.

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Which term is the constant in the following equation 17x+5=-3x? *

evablogger [386]

Answer:

5 is the constant. A constant is a number that does not change throughout the equation.

Step-by-step explanation:

Step 1:

17x + 5 = - 3x Equation

Step 2:

17x = - 3x - 5 Subtract 5 on both sides

Step 3:

20x = - 5 Add 3x on both sides

Step 4:

- 5 ÷ 20 Divide

Answer: ( To Equation )

- 1/4

Hope This Helps :)

6 0

4 years ago

A certain forest covers an area of 8.25%. Suppose that each year this area decreases by 4800km^2. What will the area be after 5

Varvara68 [4.7K]

<h3>The area after 5 years is 3120.841 square kilometer</h3>

Solution:

The decreasing function is given as:

$y = a(1-r)^t$

Where,

y is future value

a is initial value

r is decreasing rate

t is number of years

From given,

a = 4800

t = 5

$r = 8.25 \% = \frac{8.25}{100} = 0.0825$

Therefore,

$y = 4800(1 - 0.0825)^5\\\\y = 4800 \times 0.9175^5\\\\y = 4800 \times 0.6501\\\\y = 3120.841$

Thus the area after 5 years is 3120.841 square kilometer

8 0

3 years ago

A single, standard cube is tossed. What is the probability of getting a number greater than 3?

sertanlavr [38]

Answer:

1/2 or 50%

Step-by-step explanation:

numbers on a dice:
1, 2, 3, 4, 5, 6

4 5 and 6 are above 3
therefore, there are 3 numbers that are greater than 3 on a standard dice

3/6 can be simplified to 1/2 which is also the same as 50%.

7 0

3 years ago

Can someone please help me Choose 1 answer what is it A B C OR D ? Please help me

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In the accompanying diagram of right triangle ABC, the hypotenuse if AB, AC = 3, BC = 4, and AB = 5. Sin B is equal to

Trava [24]

Answer: $sin(B)=\frac{3}{5}$

Step-by-step explanation:

We are given that a triangle ABC is a Right Angled Triangle. The side AB is hypotenuse, so the angle opposite to side AB which will be angle C is a Right Angle (measures 90 degrees)

We have the side length of all 3 sides. Based on this information, we can construct a triangle with given measures. The triangle is shown in the attached image.

We have to find the value of Sin(B). Sin of an angle is defined as:

$sin(\theta)=\frac{\text{Opposite Side}}{\text{Hypotenuse}}$

The side opposite to angle B is AC with a length of 3 and hypotenuse is side AB with length 5. So Sin of angle B would be:

$sin(B)=\frac{3}{5}$

8 0

3 years ago