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 = 
and k is the value of y at x = h and k is the maximum/minimum value
∵ a = -16 , b = 196
∴ 
∴ h = 6.125
∵ h is the value of x at the maximum height
∴ x = 6.125 seconds
- Round it to the nearest hundredth
∴ x = 6.13 seconds
Divide the number of quarts of beef soup by the number of cups of vegetables.
1000 / 510
you should get 1.96
If your teacher wants you to round up you should try 2.
The digit 7 would be ten times greater than the digit 7 in number 0.9750 in any number with 7 in the tenths place, for example
0.723
0.7669
0.775
1.7899
Answer:
A)30705
Step-by-step explanation:
3* 10^4 + 7 x 10^2 + 5 x 10^0
Evaluate the exponent
3⋅10^4+7⋅10^2+5⋅10^0
3⋅10000+7⋅10^2+5⋅10^0
Multiply the numbers
3⋅10000+7⋅10^2+5⋅10^0
30000+7⋅10^2+5⋅10^0
Evaluate the exponent
30000+7⋅10^2+5⋅10^0
30000+7⋅100+5⋅10^0
Multiply the numbers
30000+7⋅100+5⋅10^0
30000+700+5⋅10^0
Evaluate the exponent
30000+700+5⋅10^0
30000+700+5⋅1
Multiply the numbers
30000+700+5⋅1
30000+700+5
Add the numbers
30000+700+5
30705
3 and 2/5 ÷ 4 and 1/3
The first step before you can divide these is that you must make them improper fractions, they cannot be mixed numbers.
3 = 3/1 = 15/5
15/5 + 2/5 = 17/5
3 and 2/5 = 17/5
4 = 4/1 = 12/3
12/3 + 1/3 = 13/3
4 and 1/3 = 13/3
Now you can divide 17/5 and 13/3.
Step 1- Turn the fraction you are dividing by into its reciprocal.
13/3 reciprocal equals 3/13
Step 2- Multiply.
17/5 • 3/13
17 • 3 = 51
5 • 13 = 65
Answer: 51/65
Step 3- Simplify if possible.
51/65
This is already in simplest form so there is no need to simplify.
So the answer is 51/65.
