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777dan777 [17]
3 years ago
9

Kay was walking along the bridge above the river. She accidentally lost her grip on her camera when she was trying to get it out

to photograph massive birds nest in the trees.The height of the camera above the water can be modeled by the equation y=-16t^2+400, where t represents the seconds after the camera is dropped. How long will it take before Kay sees the splash from the camera hitting the water.
Mathematics
2 answers:
nikklg [1K]3 years ago
8 0

Answer:

5 seconds it will hit the water.

Step-by-step explanation:

y=-16t²+400

add -16t² to both sides

-16t²=-400

divide both sides by 16

t²=-25

t=√25

t=5

devlian [24]3 years ago
3 0

Answer:

t=5

Step-by-step explanation:

t=√25=t=5

<h2>  ■   ■</h2><h2>I_____I</h2>
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A solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing
stepan [7]

Answer:

Step-by-step explanation:

Given that a solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol.

Let x gallons of 12% alcohol be mixed with y gallons of 4% alcohol.

Total gallons= x+y = 20

Alcohol content in the total mixture = 0.12x+0.04y =9% of x+y

0.12x+0.4y=0.09(20)\\12x+4y = 180

b) Two equations are

x+y = 20\\12x+4y = 180

c) This is of the form Ax = B

where A =\left[\begin{array}{ccc}1&1\\12&4\end{array}\right]

Inverse is \frac{1}{4-12} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\=\frac{-1}{8} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\

Solution set is A inverse *B

= x \    12.5\\y  \     7.5

7 0
3 years ago
what are the minimum first quartile median third quartile and the maximum of the data set? 9,20,4,18,4,18,20,9
den301095 [7]
<u>Answers</u>
1. Minimum = 4
2. First quartile = 6.5
3. Median = 13.5
4. Third quartile = 19
5. Maximum = 20

<u>Explanation</u>
To calculate the measure of central tendency, you first arrange the set of the data in ascending order.  
The set of data given will be;
4, 4, 9, 9, 18, 18, 20, 20.

Part 1:
The minimum value of the data is 4.

Part 2:
The first quatile is the median of the lower half which is comprised by:
4, 4, 9, 9

1st quartile = (4+9)÷2
                  = 13÷2
                  = 6.5

Part 3:
Median of the data is;

Median = (9+18)÷2
              =27÷2
            = 13.5

Part 4:
3rd quartile is the median of the upper half which comprises of; 
18, 18, 20, 20.

3rd quartile = (18+20)÷2
                  = 48÷2
                   = 19

Part 5
The maximum of the set of data is 20.
7 0
3 years ago
A satellite travels from Earth to the moon (238,905 miles), then from the moon to Mars (48,340,732 miles) and finally from Mars
hodyreva [135]

The total distance the satellite traveled in all is 120,528,469 miles

<h3>Calculating total distance</h3>

From the question, we are to determine how far the Satellite traveled in all

From the given information,

A satellite travels from Earth to the moon (238,905 miles),

and

It traveled from the moon to Mars (48,340,732 miles)

and

It finally traveled from Mars to Venus (71,948,832 miles)

The total distance the satellite traveled in all = 238,905 miles + 48,340,732 miles + 71,948,832 miles

∴The total distance the satellite traveled in all = 120,528,469 miles

Hence, the total distance the satellite traveled in all is 120,528,469 miles

Learn more on Calculating distance here: brainly.com/question/24295081

#SPJ1

8 0
11 months ago
What is the distance -4 and 7 on a number line?
andreev551 [17]
11 spaces :) 7 minus 11 is -4
3 0
3 years ago
Which statements are true about the place values in the number 88.888? Choose all answers that are correct. A. The 8 in the hund
Vadim26 [7]
<span>Answers:
______________________________________________________

</span><span>[B]:  The 8 in the tenths place is 10 times the value of the 8 in the hundredths place.
</span>______________________________________________________
<span>[C]:  The 8 in the hundredths place is 10 times the value of the 8 in the tenths place.
______________________________________________________</span>
6 0
3 years ago
Read 2 more answers
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