Given m|n, find the value of x.
t
xo
>m
53°

Answer:

The projectile will reach a height of 200 ft after 1.910 seconds and 13.090 seconds of being launched.

Step-by-step explanation:

This projectile is experimenting a free fall, that is, an uniform accelerated motion of the projectile due to gravity and in which effects of air friction and Earth's rotation are neglected. Given that initial and final heights, initial velocity and gravitational acceleration are known, we need to calculate time by solving the appropriate equation of motion described below:

[tex]y = y_{o} +v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}[/tex] (Eq. 1)

Where:

[tex]y_{o}[/tex] - Initial height of projectile, measured in feet.

[tex]y[/tex] - Final height of projectile, measured in feet.

[tex]v_{o}[/tex] - Initial velocity of projectile, measured in feet per second.

[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.

As we must remember, quadratic functions have two roots and if we get that [tex]y_{o} = 0\,ft[/tex], [tex]y = 200\,ft[/tex], [tex]v_{o} = 120\,\frac{ft}{s}[/tex] and [tex]g = -16\,\frac{ft}{s^{2}}[/tex], then, the quadratic function is:

[tex]-8\cdot t^{2}+120\cdot t -200 = 0[/tex]

Roots are found by the Quadratic Formula:

[tex]t_{1,2} = \frac{-120\pm \sqrt{120^{2}-4\cdot (-8)\cdot (-200)}}{2\cdot (-8)}[/tex]

Whose solutions are:

[tex]t_{1} \approx 13.090\,s[/tex] and [tex]t_{2} \approx 1.910\,s[/tex].

Both roots are physically reasonable, first root represents the instant when the projectile reaches 200 feet when it is moving downwards, whereas second root represents the projectile moving upwards. Therefore, the projectile will reach a height of 200 ft after 1.910 seconds and 13.090 seconds of being launched.

Answer:

It will take 2.5 s to reach a height of 200ft.

Step-by-step explanation:

Answer:

y-int = -10, x-int = 15/2

Step-by-step explanation:

y int:

-4(0)+3y=-30

3y=-30

y=-10

x int:

-4x+3(0)=-30

-4x=-30

x=30/4=15/2

Answer:

60 is your answer :)

Step-by-step explanation:

hope this helps :)

Answer:

90

Step-by-step explanation:

Answer:

x=0 is the solution

Step-by-step explanation:

Notice that the graph is that of a parabola with vertex at the point (0, 0).

When we solve for x in the equation:

- x^2 = 0

then we divide by -1 both sides an get: x^2 = 0/(-1) = 0

and finally use the square root property to find the answer and we get:

[tex]x=+/- \sqrt{0} = +/- 0 = 0[/tex]

Since +0 = - 0 (this is the null value), there is only one solution: x = 0.

Answer:the equation would be

8.4x=23.94

Step-by-step explanation: I know my math :)

Answer:

true

Step-by-step explanation:

because the ratios are both 60 miles in 1 hour

Answer:

Step-by-step explanation:

The purpose of the experiment is to find the average or mean amount of household income in America.

Household Income simply means the total income of a household - which is the sum of income earned by each member of the household. This study aims to find the average of this household, across the Americas.

For your analysis, you pick 10 households from each state of the country (or continent). A total of 500 households implies 500/10 = 50 states

WHAT IS THE POPULATION?

The population in this study is:  the total population of American households OR the total number of households in America. The sample on the other hand, is the 500 households directly involved in the study.

WHAT IS THE PARAMETER YOU WISH TO FIND?

The parameter you wish to find is:  mean (or average) household income in America.

Answer:

249.5 (Note: I am not really sure of my answer so sorry)

Step-by-step explanation:

Let 'x' be the population in 1990.

The population in 2015 is 321.9 million.

The increase in x by 29% = 321.910^6

129% of x = 321.910^6

1.29x = 321.910^6

x = 321.910^6/1.29

x = 249.510^6

x = 249.5 million.

249.5 is the answer

i used siri

Answer:

D) ∠KLO ≅ ∠MNO

Step-by-step explanation:

the answer is 63

Step-by-step explanation

18 x 3.5=63

Answer: 63 pages

Explanation: 18 times 3 equals 54 and then for half an hour that's 9 minutes added to 54 which is 63 pages.

Answer:

1.6

Step-by-step explanation:

1 x 20

6 x 1

=

20

6

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 20 and 6 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

20/2 = 10

6/2 = 3

10/3

The complete and simplified answer to the question what is 1/6 of 20 is:

3 1/3 = 1.6

so basically what i did is convert 3 1/3 as a simplified fraction and got 1.6

Answer: C. 3 cups

Step-by-step explanation:

Given: In recipe for 5 people, Required Gulf shrimp = [tex]1\dfrac14[/tex] cups

Since, [tex]1\dfrac14=\dfrac{5}{4}[/tex]

Required Gulf shrimp = [tex]\dfrac54[/tex] cups

Then, for 1 people Gulf shrimp required = [tex]\dfrac{5}{4}\div 5[/tex]

[tex]=\dfrac54\times\dfrac{1}{5}[/tex]

[tex]=\dfrac14[/tex] cup

For 12 people, it is required = [tex]12\times\dfrac14 = 3\text{ cups}[/tex]

Hence, 3 cups of gulf shrimp is required for new recipe.

So, correct option is C. 3 cups

Answer:

6.333

Step-by-step explanation:

Our triangle vertices are

(1,1)(5,1)(2,9)

We are to perform interpolation at point(3,5)

x and y values are interpolated

On vertices (5,1)(2,9)

x = 3

x1 = 5

X2 = 2

Y1 = 1

Y2 = 9

Formula for interpolation

Y = [y1+(x-x1)(y2-y1)]/x2-x

Y = 1+(3-5)(9-1)/2-5

Y = 1+[-2*8/-3]

Y = 1+16/3

From here we use use LCM to get:

19/3 = 6.333

Answer:

A

Step-by-step explanation:

Answer:

a) He will take 76 minutes in the triathlon

Step-by-step explanation:

He runs  1/5 of a mile in 1/20 f hour then, by simple inspection

1/5    ⇒    1/20       then    1/5 miles* 10    = 2 miles

                                        1/20*hours*10    = 1/10 hours

10/10 of an hour is 60 minutes

1/10 of an hour is 6 minutes

swimming

1/3 of a mile in 1/9 of hours then

1/3mile *6   = 2 miles

1/9 of an hour * 6 = 6/9 hours  or 2/3 of an hour

3/3 of an hour is 1 hour   = 60 minutes

2/3 of an hour is    =  40 minutes

In bike

4 miles  in  1/4 hour   then

4 miles *2   = 8 miles

1/4 hour* 2  =  1/2 hour = 30 minutes

Then he will do the triathlon in:

6 minutes running

40 minutes swimming

30 minutes in bike

Total 76 minutes

Answer:

(2,-2)

Step-by-step explanation:

Answer:

-12/3

Step-by-step explanation:

Whole numbers can't be negative!

Answer:

d. your welcome

Step-by-step explanation:

Answer:

ok639010 is the answer of the day when I am in the toilet

Step-by-step explanation:

The measure of CED is p degree.

In triangle ABC and EDC,(Given)(Vertical opposite angles)

By AA rule of similarity,

Corresponding angles of similar triangles are same.

Therefore the measure of CED is p degree.

pls give brainest

Answer:

Yes its less than 0

Step-by-step explanation:

it would go behind the 0 on a number line

Answer:

1.4

Step-by-step explanation:

Answer:

a) 20 - 3^2 = 11

b) 5th, 20 - 5^2 = -5

Step-by-step explanation:

The answer assumes your terms begin at 1. If the terms begin at zero

a) 16

b) 6th term

if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers

Answer:

a)11

b)5th term

Step-by-step explanation:

Answer: 0.038

Step-by-step explanation:

Given: Total games : n= 375

Number of games won by  the team that was winning the game at the end of the third quarter. = 300

The proportion (p) of the team that was winning the game at the end of the third quarter: [tex]p=\dfrac{300}{375}=0.8[/tex]

Critical z-value for 90% confidence: z* = 1.645

Margin of error =[tex]z^*\sqrt{\dfrac{(1-p)p}{n}}[/tex]

The margin of error in a 90% confidence interval estimate of p [tex]=1.645\sqrt{\dfrac{0.2\times0.8}{300}}\\= 1.645\times\sqrt{0.00053333}\\\\=1.645\times0.0231\\\\=0.0379995\approx$$0.038[/tex]

Hence, the required margin of error = 0.038