Question
The quotient of a number and 5 has a result of 2. What is the number

Answer:

9.7959 sec

Step-by-step explanation:

For the arrow to reach the same height as the bow again, - 4.9x^2+48x=0, 48=4.9x, x=48/4.9=9.7959

The time arrow take to come back to a height even with his bow height is 9.79 seconds.

We have an equation of the height of the arrow with respect to time -[tex]y = -4.9x^{2} +48x[/tex] where y is the height of the arrow in meters above Andrew's bow and x is the time in seconds since Andrew shot the arrow.

We have to find out - how long it takes the arrow to come back to a height even with his bow height.

It is an example of two - dimensional Projectile motion.

We have the function that depicts the variation of height of the arrow with respect to time given by -

[tex]y=-4.9x^{2} +48x[/tex]

To find the time taken by the arrow to come to a height even with his bow height, we should equate y = 0.

[tex]y=-4.9x^{2} +48x=0\\-4.9x(x-9.79)=0\\-4.9x=0\;\;\;and\;\;\;x-9.79=0\\x =0\;\;\;and\;\;\;x=9.79[/tex]

Time cannot be 0, hence the time arrow take to come back to a height even with his bow height is 9.79 seconds.

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Answer:

Step-by-step explanation:

30

Answer:

(8,7)

Step-by-step explanation:

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

(10+6)/2 = 16/2 = 8

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

(5+9)/2 = 14/2 = 7

The coordinate of the midpoint is (8,7)

Answer:

y = 1/3x + 2

Step-by-step explanation:

9 in 8956 = 900

9 in 95675 = 90000

9 = 9 in 124569

9 in 68795 = 90

90000 = 9 in 2549652.........

hope it helps...

Answer:

2.07648468018

Step-by-step explanation:

Answer:

x=5.9

Step-by-step explanation:

tan(26)=x/12. x=12*tan(26)=5.9

Answer:

B and C

Step-by-step explanation:

25% of 60 = 15

B. 25/100*60 = 15

C. 0.25*60 = 15

Answer:

x = -1

Step-by-step explanation:

-Subtract 1 from both sides of the equation

x + 1 = 0

x + 1 - 1 = 0 - 1

-simplify

x = -1

Step-by-step explanation:

am not seeing it is not clear capture another video

Answer:

It is the diagram A

Answer:

A= 5 8 11

     7 10 13

     11 14 17

x=3 y=2 z=-1 w=1/2

Step-by-step explanation:

Let matrix A= a11 12 13

                      a21 a22 a23

                      a31 a32 a33

aij=2^i+3j

When i=1 and j=1,

aij=2^1+3*1=2+3=5

Solve for all the elements and you'll get,

A= 5 8 11

     7 10 13

     11 14 17

For no 7,

x+y  0           =       5    2w-1

1       x-y               z+2      1

Equating,

x+y =5       z+2=1     2w-1=0    x-y=1

x=5-y         z=-1        w=1/2      From 1st 5-y-y=1   -2y=-4 y=2

x=5-2(from last)

x=3

Answer:

1011

Step-by-step explanation:

3x^2 + 2y^2 x^2 - 2y^2

3(7)^2 + 2(3)^2 3^2 - 2(7)^2

3(7^2 + 2 x 3 x 7^2 - 2 x 3)

3(7^2 +6 x 7^2 - 6)

3(7 x 7^2 - 6)

3(7^3 - 6)

3(343 - 6)

3(337) = 1011

​

Answer:

9.8 units

Explanation:

According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.

Let the third side be x units.

Then,

x² + 10² = 14²

=> x² + 100 = 196

=> x² = 196 - 100

=> x² = 96

=> x = √96

=> x = 4√6

=> x = 9.79....

=> x = 9.8 (Rounding to the nearest tenths)

So, the length of the third side is 9.8 units.

Answer:

x=24,y=33

hopefully this answer can help you to answer the next question

Answer:

6

Step-by-step explanations:

The remainder is what is left over after dividing whatever from d. So if you add one to d, then the remainder would increase from 5 to 6.

Hope this helps.

Answer:

1. y=18

2. x=5

3. y=2

Step-by-step explanation:

y=2x

1.

As you have x, substitute (replace) x for 9 to find y.

2×9=18 (We times 2 by 9 because, in algebra, when a number is next to a letter, it means to times).

So, y=18

2.

As we know that y=10, do the same thing and substitute.

10=2x

Isolate x by dividing:

10÷2=5

So, x=5

3.

Substitute x:

2×1=2

So, y=2

Hope this helps :)

Answer:

864 ft³ is the volume

Step-by-step explanation:

Volume = width · height · length

= 12 · 9 · 8

= 864

Answer:

Step-by-step explanation:

Volume of rectangular solid = length * width * height

                                              = 9 * 12 * 8

                                              = 864 ft³

Answer:

L={∅}

Step-by-step explanation:

Answer: 75%

Step-by-step explanation:

Only 9 students have taken fewer than 21 courses

9/12 = 0.75 or 75%

Answer:

If you want to turn a percentage into a fraction divide by 100:

20%/100 = 0.2

0.2*16 = 3.2$

and if you want to turn a decimal into a fraction multiply by 100.

His discounted price will be 3.2$.

Have a nice day! :-)

and if you have questions please ask!

Percentage is the part of a whole given as a fraction of the hundred. The discounted price of the CD is $12.8.

Andrew has a coupon for 20 % off of the price of any CD.

The price of the CD purchased by the Andrew is $16.

Percentage is the part of a whole given as a fraction of the hundred.

As the Andrew has a coupon of 20 percent, the 20 percent will be off whatever he buys. Now the discount price for the $16 priced CD is equal to the 20 percent of the 16. Thus the discount is,

[tex]d=\dfrac{16\times20}{100} \\ [/tex]

[tex]d=3.2[/tex]

Thus the discount on the CD is 3.2.

Now the discounted price of the CD is equal to the difference of the price of the CD and the discount. Thus the discounted price of the CD is,

[tex]P=16-3.2[/tex]

[tex]P=12.8[/tex]

Thus the discounted price of the CD is $12.8.

Learn more about the percentage here;

https://brainly.com/question/1691136

Answer:

3.398

Step-by-step explanation:

log(10) 2500 = log(10) (5^2*10^2) = log(10) 5^2 + log(10) 10^2 = 2*log(10) 5 + 2=3.398

Answer:

Step-by-step explanation:

Answer:

Extraneous Solutions An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x, 1 x − 2 + 1 x + 2 = 4 (x − 2) (x + 2).

Answer: x = 52

Step-by-step explanation:

You'd first deal with the 4 outside the parentheses, multiplying 10x-20 by 4. This would result in 40x - 80 = 200.

You'd then further isolate x, adding 80 on both sides, resulting in 40x = 2080. Divide by 40 on both sides and You'd get your answer of x = 52.

Answer:

Step-by-step explanation:

8) [tex]\sqrt{x^{3}} = x\sqrt{x}[/tex]

9) [tex]\sqrt[3]{3^{6} } = 3^{2} = 9[/tex]

10) [tex](x^{\frac{1}{2} } )^{9} = x^{2} \sqrt{x}[/tex]

11) [tex]7^{2} = 49[/tex]

12) [tex]27^{\frac{2}{3} } = \sqrt[3]{27} ^{2} = 9[/tex]

13) 9x[tex]\sqrt[3]{3xy^{2} }[/tex]

4x -8 > -40

Add 8 to both sides:

4x > -32

Divide both sides by 4:

X > -8

Answer: x > -8