Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are the coordinates of E ?

Answer:

the answer is x=0 or x=6, hope this helps

We have a jumper that jumps from 1500ft above the ground, such that its height as a function of time is given by:

h(t) = -16*t^2 + 1500

The solutions are:

A) 5.59 seconds

B) 5.91 seconds

C) D = (0s, 9.68s)

    R = [0ft, 1500ft]

Notice that when t = 0, h = 1500, then at the initial time (t = 0) the height is 1500 (in ft), which means that the zero of the height is the ground.

a) How long is the jumper free fall if the parachute opens at 1000 ft?

Here we need to solve:

h = 1000 = -16*t^2 + 1500

Now we just need to solve this for t:

16*t^2 = 1500 - 1000 = 500

t^2 = 500/16 = 31.25

t = √31.25 = 5.59

So it takes 5.59 seconds to open the parachute.

B) similar to before, this time we need to solve:

h = 940 = -16*t^2 + 1500

16*t^2  =1500 - 940 = 560

t^2 = 560/16 = 35

t = √35 = 5.91

So it takes 5.91 seconds to open the parachute.

C) The domain is the set of inputs that we can use in the function.

The minimum of the domain is t = 0, when the jumper jumps.

To find the maximum of the domain we need to find the maximum time at which he could open the parachute, that is when h = 0ft, just in the ground.

Then we solve:

h = 0 = -16*t^2 + 1500

16*t^2 = 1500

t = √(1500/16) = 9.68

Then a reasonable domain is (0s, 9.68s)

And the range is the set of possible outputs, which will be all the possible heights of the jumper. We know that all of these are between 0ft and 1500ft, thus the range is [0ft, 1500ft]

If you want to learn more, you can read:

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Answer:

250 feet

Step-by-step explanation:

Answer:

1)"rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing

2)slope is the change in height, the vertical change, divided by the change in horizontal distance

3)2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot

4)slope = 1/18 = (1/2)/9  

5)the door is 2 feet higher than the ground level,  1.5 + .5 = 2 feet change vertically

Answer:

7

Step-by-step explanation:

Answer: 3,583.32

Step-by-step explanation:

Use money chimp calculator

Answer:

See below

Step-by-step explanation:

[tex]( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS[/tex]

Thus proved

Answer:

Your answer is: The x-intercept is [tex](1 , 0)[/tex] and your y-intercept is[tex](0 , 1 )[/tex].

Your vertex is [tex](1 , 0)[/tex]

Step-by-step explanation:

In order to find the y-intercept you had to to find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y.

In order to find the vertex you had rewrite the equation in vertex form and use this form to find the vertex [tex](h , k)[/tex].

Hope this helped : )

Answer:

d.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

15/10 goes down to 3/2 divide 15 by 5

21/14 goes down to 3/2 divide 21 by 7

Answer: Hope this helps.

Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. So A.

Step-by-step explanation:

We don't actually know what it was that Luis was estimating. Assuming he was estimating the cost of the apples he wants to buy, rounding up both the price and quantity will give an estimate of $2/lb × 7 lb = $14, which is more than he has to spend.

Luis could refine his estimate by realizing the actual price is 10% less than the vaue he used, and the actual quantity is not quite 6% less than the value he used. The amount Luis has is about 14% less than the cost he estimated, so considering estimation errors, he probabaly has enough money.

The best choice among the answers is the one shown above.

Your equation for the first point will be y=x+50

Explanation...

The x is zero so we just only put x. The y is 50 so we input a 50 giving us y=x+50.

Your equation for the second point will be y=2x+100.

Explanation...

Your slope is 2 so we input that and the y intercept is 100 giving us the equation y=2x+100.

Your equation for the third point will be y=4x+150

Explanation...

Your slope is 4 so we input that. Your y intercept is 150 so we input that. It gives us the equation y=4x+150.

Answer:

y = -2x + 5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define given

y-intercept b = 5

Slope m = -2

Step 2: Write function

y = -2x + 5

Answer:

25% reduced

Step-by-step explanation:

45/60= .75

1-.75=.25

Answer:

$9000

Step-by-step explanation:

110 x 90 = 9900

90 x 10 = 900

9900 - 900 = 9000

Answer:

9:5

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

the answe is a

Step-by-step explanation:

Answer:

168,439,267,742,187,520,000,000

Step-by-step explanation:

40*52=2080

2080^7=168,439,267,742,187,520,000,000

x = 2

5(2 • 2 - 6) + 20

5(2x - 6 )+ 20 = 10

10x - 30 + 20 = 10

10x - 10 = 10

+10 +10

10 / 10x = 20 / 10

x = 2

Answer:

7.64 in.

Step-by-step explanation:

The diameter of the circle whose circumference is 24 inches is 7.654 inches.

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The circumference of the circle, C = 24 inches,

Calculate the radius of the circle as shown below,

Circumference = [tex]2\pi r[/tex]

C = 2 × π r

r = 24 / 2π

r = 3.819

r = 3.82 inches

Calculate the diameter as shown below,

Diameter = 2 × r

Diameter = 2 × 3.82

Diameter = 7.639 inches

Thus, the diameter is 7.64 inches.

To know more about circle:

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Answer:

The dimensions of rectangle are:

Step-by-step explanation:

Let 'l' be the length and 'w' be the width of the rectangle

so

[tex]l=2w-3[/tex]

Also, the area of the rectangle is 27ft^2.

[tex]A=27\:ft^2[/tex]

As the area of the rectangle has the formula:

[tex]\:A\:=\:l\times w[/tex]

so

[tex]27=\:l\times w[/tex]

so the equation becomes

[tex]27=\left(2w-3\right)\times \:w[/tex]

[tex]27=2w^2-3w[/tex]

[tex]2w^2-3w-27=0[/tex]

[tex]\left(w+3\right)\left(2w-9\right)=0[/tex]

if   [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]w+3=0\quad \mathrm{or}\quad \:2w-9=0[/tex]

[tex]w=-3,\:w=\frac{9}{2}[/tex]

as the width can not be negative, so

[tex]w=\frac{9}{2}=4.5[/tex] ft

As

[tex]l=2w-3[/tex]

[tex]l=2\left(4.5\right)-3[/tex]

[tex]l=9-3[/tex]

[tex]l=6[/tex]

So the dimensions of rectangle are:

Answer:

Bro, are you trying to break into someone's house of somethin?

Step-by-step explanation:

Answer/Step-by-step explanation:

✍️Slope of the line using two points, (2, 2) and (6, 10),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 [/tex]

✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).

Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.

2 = (2)(2) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

Substitute m = 2 and b = -2 in y = mx + b.

✅The equation would be:

[tex] y = 2x + (-2) [/tex]

[tex] y = 2x - 2 [/tex]

✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.

[tex] 8 = 2(a) - 2 [/tex]

[tex] 8 = 2a - 2 [/tex]

Add 2 to both sides

[tex] 8 + 2 = 2a [/tex]

[tex] 10 = 2a [/tex]

Divide both sides by 2

[tex] \frac{10}{2} = a [/tex]

[tex] 5 = a [/tex]

a = 5

✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.

[tex] b = 2(4) - 2 [/tex]

[tex] b = 8 - 2 [/tex]

[tex] b = 6 [/tex]

Complete Question

The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected.

Required:

a) Find the probability that the drink is less than 11.9 fluid ounces

b) Find the probability that the drink is between 11.6 and 11.9 fluid ounces

c) Find the probability that the drink is more than 12.6 fluid ounces. Can this be considered an unusual​ event? Explain your reasoning.

Answer:

a

  [tex] P(X < 11.9 ) =  0.25239  [/tex ]  

b

  [tex]P(  11.6 < X < 11.9 ) =  0.20463 [/tex]

c

  [tex] P(X > 12.6 ) =  0.047757  [/tex ]  

Yes  It is an unusual event

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 12.1[/tex]

   The standard deviation is  [tex]\sigma =0.3[/tex]

Generally the probability that the drink is less than 11.9 fluid ounces is mathematically represented as

      P(X < 11.9 ) =  P(\frac{X -\mu}{\sigma } < \frac{11.9 - 12.1}{0.3} )

   [tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

      [tex] P(X < 11.9 ) =  P(Z< -0.667 ) [/tex ]

From the z table  the area under the normal curve to the left corresponding to -0.667  is

P(Z< -0.667 ) = 0.25239

So

[tex] P(X < 11.9 ) =  0.25239  [/tex ]  

Generally the  probability that the drink is between 11.6 and 11.9 fluid ounces is mathematically represented as

[tex] P(  11.6 < X < 11.9 ) =  P(  \frac{11.6 -12.1}{0.3} < \frac{X -\mu}{\sigma } < \frac{11.9 - 12.1}{0.3} ) [/tex]

   [tex]P(  11.6 < X < 11.9 ) =  P( -1.667 < Z < -0.667 ) [/tex]

=> [tex]P(  11.6 < X < 11.9 ) =  P( Z < -0.667) -  P ( Z < -1.667 ) [/tex]

From the z table  the area under the normal curve to the left corresponding to  -1.667  is

  P(Z< -1.667 ) = 0.047757

So

       [tex]P(  11.6 < X < 11.9 ) =  0.25239  - 0.047757 [/tex]

=>      [tex]P(  11.6 < X < 11.9 ) =  0.20463 [/tex]

Generally the probability that the drink is more than 12.6 fluid ounces is mathematically represented as

         P(X > 12.6 ) =  P(\frac{X -\mu}{\sigma } > \frac{12.6 - 12.1}{0.3} )

      [tex] P(X >12.6 ) =  P(Z> 1.667 ) [/tex ]

From the z table  the area under the normal curve to the right corresponding to 1.667  is

P(Z> 1.667 ) = 0.047757

So

[tex] P(X > 12.6 ) =  0.047757  [/tex ]        

Given that this probability is less than 0.05 , it mean it is an unusual​ event

Answer:

Hey there! Thanks for asking your question.

We can multiply the numerators and denominators by any number.

Either way, you will have the same equivalent fraction.

Let's do a practice problem:

[tex]\frac{1}{2} = ?[/tex]

We can multiply the numerator & denominator by 2.

We get the number [tex]\frac{2}{4}[/tex].

So, [tex]\frac{1}{2} = \frac{2}{4}[/tex].

Best of Luck!

Answer:

(4x−3)(x−2)=0

Step-by-step explanation:

Step-by-step explanation:

4x²-11+6=0

4x²-5=0

x²=5

4

x=√5

4

hope it help u

Answer:

you need yarn

Step-by-step explanation:

3fts times 12 is equal to=kuha ka calculator

Answer: 12 yd/min = 0.6 ft/seconds.

Because: 36/60 = 36  1/60 = 6  1/10 = 3/5 = 0.6

Answer:

I+I = Window

Step-by-step explanation:

Or 2

:|

I'm not too sure

Answer:

i think it's 4

Step-by-step explanation:

maybe 2

Answer:

1. 23

2. 17

Step-by-step explanation:

perimeter is the sum of length of all sides of a figure so if you add up the lengths of the sides you get 23 and 17 respectively.

Answer:

Isosceles triangle

Step-by-step explanation:

all sides the same=scalene triangle

2 sides the same=isosceles triangle

all sides the same=equilateral triangle

Answer:THXXXXXXXSSSSS FOR THE POINTS

Step-by-step explanation:

Answer:

***T O O T***