A ball is kicked from a height of 3 feet above ground the height of the ball is h(t) is given by h(t) = 5t raised to the 2 power +14t+3 where t is the time in seconds after the ball is kicked. How long will it take the ball to hit the ground after kicked?

Answers

Answer 1

Answer:

t = -2.566s and -1.169s

Step-by-step explanation:

Given the height of the ball expressed at

h(t) = 5t²+14t+3

The ball will hit the ground at h(t) = 0

Substitute and get t

0 = 5t²+14t+3

Use general formula

t = -14+/- √14²-4(5)(3)/2(5)

t = -14+/- √196-60)/10

t = -14+/- √136/10

t =-14+/- 11.66/10

t = -25.66/10 and -2.338/2

t = -2.566s and -1.169s

Hence the ball will hit the ground at these times


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Simplify and can you explain how to simplify

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Answer:

[tex]\frac{1625z^{10}}{x^5}[/tex]

Step-by-step explanation:

[tex]\frac{13\cdot \:1\cdot \:x^{-5}}{5^{-3}z^{-10}}[/tex]

[tex]\frac{13x^{-5}}{\frac{1}{125z^{10}}}[/tex]

[tex]\frac{\frac{13}{x^5}}{\frac{1}{125z^{10}}}\\[/tex]

[tex]=\frac{13\cdot \:125z^{10}}{x^5\cdot \:1}[/tex]

refine: [tex]\frac{13\cdot \:125z^{10}}{x^5}[/tex]

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[tex]=\frac{1625z^{10}}{x^5}[/tex]

Answer:

multiply the numbers: 12 x 125 =1625

Step-by-step explanation:

Write 5.6382 correct to 2 decimal places.

Answers

5.64 is the answer
.

Answer for this:

5.64

Which equations have no real solution but have two complex solutions?
A 3x>2-5=-8
b 2x>2=6x-5
c 12x=9x>2 +4
d -x>2 - 10x =34

Answers

Answer:

see details below

Step-by-step explanation:

First, assume >2 was meant to be &super;. or square.

then the given equations are:

A 3x^2-5=-8

b 2x^2=6x-5

c 12x=9x^2 +4

d -x^2 - 10x =34

In all cases, rearrange equation to identify parameters a, b and c, then calculate determinant using D=b^2-4ac.

A 3x^2x-5=-8

   3x^2-5x+8=0, a=3, b=-5, c=8

   D=b^2-4ac = (-5)^2-4*3*8 = 25 - 96  = -71  < 0   => 2 complex solutions

B 2x^2=6x-5

   2x^2-6x+5, a=2, b=-6, c=5

   D=b^2-4ac = (-6)^2-4*2*5 = 36 - 40 = -4  < 0   => 2 complex solutions

C 12x=9x^2 +4

   9x^2-12x+4, a = 9, b=-12, c=4

   D=b^2-4ac = (12)^2-4*9*4 = 144 - 144 = 0   => 2 real coincident solutions    

D -x^2 - 10x =34

   -x^2-10x-34, a = -1, b=-10, c=-34

    D=b^2-4ac = (-10)^2-4*(-1)*(-34) = 100 - 136 = -36   <0  => 2 complex  solutions    

The Venn diagram below shows survey results of the cities visited by a group of people on a recent trip to Europe.

Answers

Answer:

A. 27

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C. 19

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Answers

r=6cm and h=7cm

Volume of right circular cone =31πr2h

                                                 =31×722×(6)2×7

                                                 =31×22×36

                                                 =264cm3

dunno whether the formula is correct or not!

Help plz
6(2x - 11) + 15 = 3x + 12​

Answers

Answer:

x = 7

Step-by-step explanation:

Lets do the brackets first,

6 × 2x = 12

6 × -11 = -66

------

Calculate the x constant:

12x - 3x = 9x

-------

Then the ones with no x:

-66 + 15 = -51

51 + 12 = 63

-------

Lastly, divide

63 ÷ 9 = 7

-------

Have a good day :)

x = 7


hope this helps you out!

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Answer:

using Pythagoras theorem

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Answers

Answer:

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Step-by-step explanation:

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A line segment has endpoints at (-7, 2) and (8,8). What is the x-coordinate of the point on the line segment that is the distance from (-7, 2) to (8,8)?​

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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See below

Step-by-step explanation:

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Points or lines are coplanar if they all fall on the same plane.

Line segments are a line with two endpoints on each end of the segment, which have a definite length.

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Answer:

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Step-by-step explanation:

Of course I'll do very simple explanation!

every time you see a straight line (nondiagonal) it measures 180°.

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Then use the statement to solve for x

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