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IrinaVladis [17]
3 years ago
6

If you run a 10 kilometer race in 43 minutes 30 seconds, what is your average time per mile? what is your average speed in miles

per hour?
Mathematics
1 answer:
PtichkaEL [24]3 years ago
3 0
<span>((10 / 1.61) / (43.5 / 60), 2), 'mph' # (distance in miles)/(time in hours) rounded to 2 places 8.57 mph</span>
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Molly had 8 apples jim has 8 how many do they have all together
Norma-Jean [14]

Answer:

16

Step-by-step explanation:

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3 years ago
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
devlian [24]

Answer:

The rocket will reach its maximum height after 6.13 seconds

Step-by-step explanation:

To find the time of the maximum height of the rocket differentiate the equation of the height with respect to the time and then equate the differentiation by 0 to find the time of the maximum height

∵ y is the height of the rocket after launch, x seconds

∵ y = -16x² + 196x + 126

- Differentiate y with respect to x

∴ y' = -16(2)x + 196

∴ y' = -32x + 196

- Equate y' by 0

∴ 0 = -32x + 196

- Add 32x to both sides

∴ 32x = 196

- Divide both sides by 32

∴ x = 6.125 seconds

- Round it to the nearest hundredth

∴ x = 6.13 seconds

∴ The rocket will reach its maximum height after 6.13 seconds

There is another solution you can find the vertex point (h , k) of the graph of the quadratic equation y = ax² + bx + c, where h = -\frac{b}{2a} and k is the value of y at x = h and k is the maximum/minimum value

∵ a = -16 , b = 196

∴ h=-\frac{196}{2(-16)}

∴ h = 6.125

∵ h is the value of x at the maximum height

∴ x = 6.125 seconds

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4 0
3 years ago
Slove the following <br>equation without with out transporting I)5y +10=4y-10​
Katen [24]
The answer is y= -20
7 0
3 years ago
A farmer grows corn, tomatoes, and sunflowers on a 320-acre farm. This year, the farmer wants to plant twice as many acres of to
svet-max [94.6K]
Set it up with variables; tomatoes=t, sunflowers=s, corn=c

320=t+s+c

This year;
t=2s   
c=t+40

so, replace 2s for t; c=2s+40 

now we can put those factors in for 320=t+c+s

320= 2s+2s+40+s
(SIMPLIFY)---> 320=5s+40----> 5s+280----> s=56 

now incorporate the s value into the other equations. 

c=2s+40----> c=56(2)=40 ----> c=152 
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TOMATOES= 112 acres
CORN= 152 acres
SUNFLOWERS= 56 acres

To check your work: 320=t+s+c ----> 320=112+156+56 

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What would be the value of x in x+5=-3x-9
9966 [12]
-3 because it shows the value right there
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