m = number of months;
Which of the following statements is true?
O A. The total cost will increase by $40 for every 10 months that pass.
B. The total cost will increase by $10 for every 40 months that pass.
C. The total cost will increase by $10 for every month that passes.
D. The total cost will increase by $40 for every month that passes.
6x3 + 9x + 30
6x3 − 24x2 + 9x + 30
6x3 − 24x2 + 39x + 30
Answer:
Option 3rd is correct
Step-by-step explanation:
Given the expression:
Multiply the first term of the first expression with second expression and second term of the first expression with second expression we have;
using distributive property we have;
Combine like terms we have;
therefore, the correct simplification of the given expression is,
Answer:
B
Step-by-step explanation:
What is the lower bound?
The lower bound of the number 6358 when rounded to the nearest one (nearest whole number) remains 6358 since it is already a whole number.
Rounding a number to the nearest one implies that we are rounding it to the nearest whole number or integer. In this case, the number 6358 was rounded to the nearest whole number, which means we want to find the lower bound of this rounded value.
When we round 6358 to the nearest whole number, we find that it becomes 6358 itself because it is already a whole number. Therefore, the lower bound of the rounded value is the same as the original value, which is 6358.
In summary, when 6358 is rounded to the nearest one (nearest whole number or integer), the lower bound of the rounded value is also 6358 because the original number is already a whole number. There is no change in the value when rounding to the nearest one in this case.
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Solving quadratic equation 16 t² -60t -100=0 formed by Projectile Motion Formula and given conditions it is found that it takes t = 5 seconds to fall from 1000 feet to 900 feet before the parachute opens.
Quadratic equation is an equation which contains one unknown variable and the highest power of this unknown variable is 2. Let x be the unknown variable then the standard quadratic equation in x is given by
ax²+bx+c =0, where a, b, c are constants and a≠0
We can solve this equation by factorizing ax²+bx+c and putting those factors equal to zero to solve for x.
Projectile Motion Formula h = -16 t² + v t + s,
where t = time in seconds
h = height of the projectile
v = initial velocity
s= starting height of fall
Given s = 1000 feet, v= 60 feet per second, h = 900 ft
And t we have to find.
Projectile motion equation becomes:
900 = -16 t² + 60 t + 1000
⇒16 t² -60t + 900-1000=0
⇒16 t² -60t -100=0, which is a quadratic equation in variable t
Factorizing this quadratic equation
⇒ 16t² - 80t + 20t -100 =0
⇒16t(t -5) + 20( t - 5 ) =0
⇒ (16t +20) ( t-5)=0
Putting these factors equal to zero
16t +20 =0 ⇒ t = -20/16, which is neglected as time cannot be negative.
t-5 = 0⇒ t =5
Therefore it takes 5 seconds to fall from 1000 feet to 900 feet before the parachute opens.
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Answer:It will take 5 sec for a parachute to open.I did it on a piece of paper for u to show u more information
Step-by-step explanation: