Answer:
x = 84 , y = 168
Step-by-step explanation:


Answer:
The velocity function is the particle is
.
Step-by-step explanation:
The acceleration function of a moving particle is

The initial conditions are v(0) = −3, s(0) = 5.
Integrate the acceleration function with respect to time to find the velocity function.


Use the initial condition v(0) = −3 to find the value of C₁.





So the velocity function is the particle is

Integrate the acceleration function with respect to time to find the position function.


Use the initial condition s(0) = 5 to find the value of C₂.




So, the position function is the particle is
.
Answer:
<h3>The answer is option F</h3>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To calculate the equation of the line first find the slope
Slope of the line using points
(0 , 0) and (4 , -2) is

Now use the formula
y - y1 = m(x - x1) to find the equation of the line using any of the points
Using point (0,0)
That's

The final answer is

Hope this helps you
Answer:
<em>2 scoops of fruity powder:6 cups of water will not test the same as Amar's recipe</em>
Step-by-step explanation:
<u>Ratios</u>
The proportion or ratios between variables measure the relative quantities of them by doing a division, usually expressed as fractions or a colon-separated pair of numbers.
To make fruit punch, Amar mixes 1 scoop of fruity powder with 5 cups of water. The ratio of fruity powder to water is 1:5.
We must select which recipe from the list won't produce the same ration and therefore will not taste the same as Amar's:
2 scoops of fruity powder:6 cups of water gives a ratio of 2:6. Simplifying by 2, the ratio is 1:3. This recipe will not test the same as Amar's.
2 scoops of fruity powder:10 cups of water gives a ratio of 2:10. Simplifying by 5, the ratio is 1:5. This recipe will test the same as Amar's.
0.5 scoop of fruity powder:2.5 cups of water gives a ratio of 0.5:2.5. Multiplying by 2, the ratio is 1:5. This recipe will test the same as Amar's.
5 scoops of fruity powder:25 cups of water gives a ratio of 5:25. Dividing by 5, the ratio is 1:5. This recipe will test the same as Amar's.
Answer:
2 scoops of fruity powder:6 cups of water will not test the same as Amar's recipe
x= -623/18
Hope it helps for you,buddy!