Answer:
Max exercises 13 hours a week, and Sasha 7.
Step-by-step explanation:
To find the number of hours each of them exercises during the week, we solve the system of equations.
In the second equation:
Replacing in the first equation:
So Sasha exercises 7 hours per week.
Max:
Max exercises 13 hours a week.
Answer:
84
Step-by-step explanation:
<u>Order of operations (Parentheses first, exponents next, then multiplication, etc.)</u>
-3 * -2 = 6
<u>Multiply</u>
7 * 6 = 42
42 * 2 = 84
Answer:
maximum height is 4.058 metres
Time in air = 0.033 second
Step-by-step explanation:
Given that the equation height h
h = -212t^2 + 7t + 4
What is the toy's maximum height?
Let us assume that the equation is a perfect parabola
Time t at Maximum height will be
t = -b/2a
Where b = 7 and a = - 212
t = -7/ - 212 ×2
t = 7/ 424 = 0.0165s
Substitute t in the main equation
h = - 212(7/424)^2 + 7(7/424) + 4
h = - 0.05778 + 0.115567 + 4
h = 4.058 metres
Therefore the maximum height is 4.058 metres
How long is the toy in the air?
The object will go up and return to the ground.
At ground level, h = 0
-212t^2 + 7t + 4 = 0
212t^2 - 7t - 4 = 0
You can factorize the above equation and pick the positive time t since time can't be negative
Or
Since we have assumed that it's a perfect parabola,
Total time in air = (-b/2a) × 2
Time in air = 0.0165 × 2 = 0.033 s
By Question it's given that the sum of two numbers is 15 . And we need to find out the numbers. So ,
<u><em>Let </em><em>us </em><em>take</em><em> </em><em>:</em><em>-</em><em> </em></u>
- First number = x
- Second number = x + 1
<em><u>According</u></em><em><u> to</u></em><em><u> the</u></em><em><u> Question</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
<em><u>Therefore</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
- First number = 7
- Second number = 8
<u>Hence</u><u> the</u><u> </u><u>two </u><u>numbers</u><u> </u><u>are </u><u>7</u><u> </u><u>and </u><u>8</u><u>. </u>
Answer:
14
Step-by-step explanation:
Divide the number of laps by the number of swimmers for one of the rows. I did 108/9. You can double check by doing a second row. I did it wrong the first time sorry. That’s why you double check