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omeli [17]
3 years ago
10

How long would it take for an egg dropped from a helicopter to fall 256 feet to the ground? d=16t^2

Mathematics
1 answer:
schepotkina [342]3 years ago
7 0
Well the position function is:

h(t)=-16t^2+256

It will hit the ground when h(t)=0

-16t^2+256=0  factor out -16

-16(t^2-16)=0  factor difference of squares...

-16(t+4)(t-4)=0, since t>0

t=4 seconds


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Factor 42v^3 – 21v^2 + 34v – 17
BartSMP [9]

Answer:

(2v-1)(21v^2+17)

Step-by-step explanation:

add and subtract the second term to the expression and factor by "grouping"

answer should be:

(2v-1)(21v^2+17)

4 0
3 years ago
The brand name of a certain chain of coffee shops has a 54% recognition rate in the town of Coffleton. An executive from the com
malfutka [58]

Answer:

0.156

Step-by-step explanation:

Using binomial probability formula, we have :

P( a out of n ) =ⁿCₐ x pᵃ x qⁿ⁻ᵃ  ------------------------------------------------- (1)

Where n = total number of sample

           a = number of success

            p = probability of success

            q = probability of failure

            n-a = number of failures

From the question:

n =10 , a = 7, p=0.54, q = 1-p = 0.46

Substituting into equation (1) we have:

P (7 out of 10) =  ¹⁰C₇ x (0.54)⁷x (0.46)¹⁰⁻⁷

                      = 0.1563

                     ≈ 0.156

                   

8 0
3 years ago
Harrison went out to buy coffee for his classmates. There are 23 students in his class, counting Harrison himself. Some wanted m
NemiM [27]

Step-by-step explanation:

Let's represent the number of mochas bought with the variable M, and the number of lattes bought with the variable L.

Since there are 23 students, the total number of mochas and lattes bought must be 23. This can be represented with the following equation:

M + L = 23

We can also set up another equation based on the total amount spent on the coffe:

4.30M + 3.50L = 87.70

If we rearrange the first equation, we can solve for M:

M = 23 - L

If we substitute this into the second equation, we can solve for L:

4.30(23 - L) + 3.50L = 87.70

98.9 - 4.3L + 3.5L = 87.7

98.9 - 0.8L = 87.7

0.8L = 11.2

L = 14

Subtituting this back into the original equation, we can solve for M:

M + L = 23

M + 14 = 23

M = 9

Therefore, 9 mochas and 14 lattes were bought.

3 0
3 years ago
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The table shows some information about the five great Lakes of North America
Fynjy0 [20]

Answer:

add me on snap kingmadness7062

Step-by-step explanation:

7 0
3 years ago
Angles T and V are country that angle T has a measure of (2X +10) angle B has a measure of 48° what is the value of X
enyata [817]
If T and V are complementary angles, their sum is 90°.

   V + T = 90°
   48° + (2X+10)° = 90° . . . . . . . substitute given information
   2X + 58 = 90 . . . . . . . . . . . . .. collect terms
   2X = 32 . . . . . . . . . . . . . . . . .. subtract 58
   X = 16 . . . . . . . . . . . . . . . . . .. divide by 2

The value of X is 16.
4 0
3 years ago
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