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Sholpan [36]
3 years ago
14

You drop a feather from a height of 160 centimeters. The function h= -16x^2 + 160 represents the height H (in centimeters) of th

e feather after x seconds. How long does it take the feather to touch the ground?
Mathematics
1 answer:
natka813 [3]3 years ago
8 0

Answer:

3.16

Step-by-step explanation:

At the ground, h = 0.

h = -16x^2 + 160

0 = -16x^2 + 160

16x^2 = 160

x^2 = 10

x = +\- sqrt(10)

Since we cannot have a negative time, we discard the negative answer.

Answer: 3.16 seconds

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What is 14/74 in simplest form
charle [14.2K]
14/74 in the simplest form is 7/37
5 0
3 years ago
A landscaper is planting a row of 10 shrubs along the walkway shown below. There must be one shrub at the very beginning and one
rewona [7]

Answer:

9d = 36

Step-by-step explanation:

See attachment for complete question

Length = 36ft

n = 10

From the question, we understand that one shrub must be at both ends.

Taking the first as a point of reference, we're left with:

(n - 1) * distance = 36

Substitute 10 for n and d for distance

(10 - 1) * d = 36

9 * d = 36

9d = 36

Hence:

9d = 36 answers the question

4 0
4 years ago
Which property is used in the first step to solve this equation?
melomori [17]

Answer:

distributive property

Step-by-step explanation:

we know the distributive property states that the multiplication of a number (in this case, the number 4) by a sum (in this case is a subtraction:  x-6) is equal to the sum of the multiplications of that number for each of the terms that belong to the sum:

we have: 4(x-6)

we apply the distributive property, so we have

4(x-6)=4*x-4*6

4(x-6)=4x-24

7 0
3 years ago
Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that? ___minutes How many laps per minute is that? ___
snow_lady [41]

Answer:

a. 1.2 minutes

b. 0.83 laps

c. 25.2 minutes

Step-by-step explanation:

Lin runs 5 laps around a track in 6 minutes.

a. How many minutes per lap is that?

5 laps = 6 minutes

1 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 1 laps

x minute = 6 minutes × 1 laps/5 laps

x laps = 1.2 minutes

Hence, it is 1.2 minutes per lap

b. How many laps per minute is that?

6 minutes = 5 laps

1 minute = x laps

Cross Multiply

6 minutes × x laps = 1 minute × 5 laps

x laps = 1 minute × 5 laps/6 minutes

x laps = 0.8333333333 laps

Hence, it is 0.83 laps per minute.

c. If Lin runs 21 laps at the same rate,

5 laps = 6 minutes

21 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 21 laps

x minute = 6 minutes × 21 laps/5 laps

x laps = 25.2 minutes

Hence, it takes her 25.2 minutes

3 0
3 years ago
Can you Solve. 3x^2+10x+3
Alika [10]
You cannot solve for x but you can factor

to solve in ax^2+bx+c form you must find
b=x+y
a times c=x times y

so solve

3 times 3=9

what 2 number multily to get 9 and add to get 10
9=x times y
the numbers are 9 and 1 so

3x^2+1x+9x+3
(3x^2+1x)+(9x+3)
factor
(x)(3x+1)+(3)(3x+1)
reverse distribute
ab+ac=a(b+c)

(x)(3x+1)+(3)(3x+1)=(x+3)(3x+1)
factored out form is (x+3)(3x+1)

6 0
4 years ago
Read 2 more answers
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