While on the golf course last weekend Marc hit into the rough landing the ball behind a tall tree. His best option was to get it high enough to get over the tree and hopefully come down in the fairway for his next shot. So with a mighty swing he hit the ball into the air and was surprised to see the ball hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is: h(x)= -16x^2+120 where h is the height of the ball and x is the number of seconds the ball is in the air.

Question 1. How high did Marc actually hit the ball?

Later during that same golf outing, Marc decided to show off by trying to hit the green in one shot. So with his macho swing, he said he hit the green as the ball hung in the air for 15 seconds. The formula for this shot is: h(x)= -16x^2+200x

Question 2. How long did the ball actually hang in the air?

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

cos(x) cos(-x) - sin(x) sin(-x) = 1

Hint: | Cosine is an even function.

Use the identity cos(-x) = cos(x):

cos(x) cos(x) - sin(-x) sin(x) = ^?1

Hint: | Sine is an odd function.

Use the identity sin(-x) = -sin(x):

cos(x) cos(x) - -sin(x) sin(x) = ^?1

Hint: | Evaluate cos(x) cos(x).

cos(x) cos(x) = cos(x)^2:

cos(x)^2 - ( - sin(x) sin(x)) = ^?1

Hint: | Evaluate -(-sin(x)) sin(x).

-(-sin(x)) sin(x) = sin(x)^2:

cos(x)^2 + sin(x)^2 = ^?1

Hint: | Use the Pythagorean identity on cos(x)^2 + sin(x)^2.

Substitute cos(x)^2 + sin(x)^2 = 1:

1 = ^?1

Hint: | Come to a conclusion.

The left hand side and right hand side are identical:

Answer: (identity has been verified)

Answer:

4

Step-by-step explanation:

you must scale down to size- 1 m in real life = 5 (unit) in the model

20/5= 40

hope this helps :)

Answer:

4m

Step-by-step explanation:

1/5 of 20

Answer:

177.82397947 ft

Step-by-step explanation:

to find height of of the pole:

tan(44 degrees)=x/180

add the height of the person

x=(180tan(44 degrees) )+4

x=177.82397947 ft

now, round to what point you need to

Answer:

c

Step-by-step explanation:

25% = 15$ so 15+15+15+15=60

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

[tex]5x-y+150=180[/tex]       ...........(1)

[tex]5x-y=180-150[/tex]

[tex]5x-y=30[/tex]      ............(2)

[tex]5x+y+130=180[/tex]       ...........(3)

[tex]5x+y=180-130[/tex]

[tex]5x+y=50[/tex]        ...........(4)

Now we adding equation 2 and 4, we get the value of x.

[tex]5x-y+5x+y=30+50[/tex]

[tex]10x=80[/tex]

[tex]x=8[/tex]

Now we are putting the value of x in 4, we get the value of y.

[tex]5x+y=50[/tex]

[tex]5(8)+y=50[/tex]

[tex]y=50-40[/tex]

[tex]y=10[/tex]

Therefore, the value of x and y is 8 and 10 respectively.

Answer: D

Step-by-step explanation:

72/150 x 100 = 48%

Answer:

[tex]1/9[/tex]

Step-by-step explanation:

when you divide a exponents, you subtract them. 4 - 0 = 4

3 to the power of 4 to the power of 2 = 3 to the power of 8, since exponents multiply.

3 to the power of negative 6 * 3 to the power of 8 = 3 to the power of negative 2, since multiplication adds the exponents when the base is equal.

3 to the power of negative 2 is 1/9

Answer:

Not possible

Step-by-step explanation:

if you simplify it becomes

-34 = 3

with no variables, its undifined

Answer:

The answer is False

-34 = 3

Step-by-step explanation:

[tex](5 + 1)2 - (12 +34) = 3.\\(6)2 - (46) = 3\\12-46 = 3\\- 34 = 3\\False \\[/tex]

Answer:

b = -5

Step-by-step explanation:

You needy to calculate the Discriminant = b² - 4ac

If D is zero there is one real solution,

If D less then zero there are no real solutions

Only if D is bigger then zero, there are two real solutions.

x² - 5x + 5 D > 0 so 2 real solutions

see attachment.

x² - 3x + 5 D < 0 so no real solutions

x² + 3x + 5 D < 0 so no real solutions

x² + 4x + 5 D < 0 so no real solutions

Answer:

-5

Step-by-step explanation:

It's A on edge I'm doing the assignment rn

Answer:

1.41

Step-by-step explanation:

3/4 = 75/100 = 0.75

0.75 + 0.66 = 1.41

Answer:

1.41

Step-by-step explanation:

4 divided by 3 = 0.75

0.66 + 0.75 = 1.41

Answer:

Simplified equation: 25 - 16=9

Step-by-step explanation:

Evaluate the power

25 - 4 * 4

Multiply the numbers

25 - 16

Subtract the numbers

9

Answer:

D

Step-by-step explanation:

1/4 x -36 = -9

1/4 x 4/3 = 1/3

1/4 x 12 = 3

But...

1/4 x 0.444444... = 0.111111...

So A is the answer

√12  produces an irrational number when multiplied by 1/4

A real number that cannot be expressed as a straightforward fraction is referred to as an irrational number. It cannot be described using a ratio. When p and q are integers and q is not equal to 0, N is not equal to p/q if N is irrational.

Given Four numbers to find the number that will produce an irrational number after dividing by 4. We will check them one by one:

For A, 0.4444:

=> 0.444

After multiplying by 1/4

=> 0.1111111

That can also write as 1/9(Not an irrational number)

For C, -√36:

=> -√36

After multiplying by 1/4

=>-√9/4

That can also write as 3/2(Not an irrational number)

For D, 4/3:

=> 4/3

After multiplying by 1/4

=> 1/3

That can also write as 1/3(Not an irrational number)

For B. √12:

=> √12

After multiplying by 1/4

=> √12/4

=>√(3/4)

That can also writes as √(3/4)(yes, an irrational number)

Therefore, The irrational number in the given option is B √12

Learn more about irrational numbers here:

https://brainly.com/question/17450097

#SPJ2

Answer:

it is 768 in

Step-by-step explanation:

you multiply 32 by 24

Answer:

C. would be the answer.

Step-by-step explanation:

Hope this helps.

Answer:

[tex]\dfrac{x}{2}+12=36[/tex]

Step-by-step explanation:

As it is given that

Both Riley and Francesca commute to work.

And, the Riley takes 12 minutes more than as Francesca as Riley takes 36 minutes

So for determining how many minutes is required for Francesca to get to work we need

Let us assume the time taken by Francesca to get to work is x

So, the time taken by Riley is

[tex]= \dfrac{x}{2}+12[/tex]

And, Riley takes 36 minutes to get to work.

So, the equation would be

[tex]\dfrac{x}{2}+12=36[/tex]

Answer:

The ? is 4x * (-2x) = -8x².

Answer:

-8x^2

Step-by-step explanation:

-2x*4x=-8x^2

that's pretty much all the work here, I don't know what else to add in the explanation except for that this is a grid that is supposed to help you learn quadratic factoring

hope this is the right answer

Answer:

x=0

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

9+10x=9

10x=9-9

10x=0

x=0

Answer:

A'(-5, -3) B'(3, -2) C'(2, 2)

Step-by-step explanation:

count the squares up or down to the x axis from each point and then go the same number of squares on the other side

Answer:

D. 7 - i

Step-by-step explanation:

(-3+i)/(7 + i)=

(-3+i)(7-i)/(7+i)(7-i)=

(-21+10i+1)/50=

(10i-20)/50=

0.2i-0.4

Answer:

Becomes too focused on earning commission

Step-by-step explanation:

A person can become to focused on earning the commission to the exclusion of the best interests of the customer and the company.

Answer:

The employee becomes too focused on earning commission, so much so that they neglect the interests of the company they work for and its clients.

Hope this helps!

Answer: (going down the table)

1) 5, 8, 6, 1

2) 2, 6, 10, 2

Step-by-step explanation:

count how many are in that bracket.

EG:

1) the amount of numbers between 5 and 10, including 5

etc

Answer:

(4, 7) (third answer choice)

Step-by-step explanation:

In the system

y = x + 3

3x + y = 19

the first equation already gives y in terms of x.  Thus we can substitute x + 3 for y in the second equation:

3x + (x + 3) = 19, which simplifies to:

4x = 16, yielding x = 4.  Substituting 4 for x in the first equation, we get:

y = (4) + 3 = 7.

Thus, the solution is (4, 7) (third answer choice).

Answer:

there is no mode

Step-by-step explanation:

because there is no doubles

The required, mode of the given data set is not defined. None of the options are correct.

In statistics, the mode is the value that appears most frequently in a data set. It is the most common observation or measurement in the data set. The mode is one of the measures of central tendency, along with the mean and median.

The mode is the value that appears most frequently in a data set. Since the given data set only has values of 10, 20, 30, 40, and 50, we can simply count which value appears most frequently. From the given options, the is no mode in the data, since it appears no value in the data set appears twice in the data set.

Therefore, None of the options are correct.

Learn more about the mode here:

https://brainly.com/question/30891252

#SPJ3

I believe the normal distribution is symmetrical above and below

the mean.  That tells us that in this kind of distribution, the mean

and the median are the same number ... 50% of the population

is below it, and 50% is above it.

So if the female Labs' weight actually follows a 'normal' distribution

with a mean of 62.5 lbs, then 2,700 of them weigh more than 62.5 lbs

and 2,700 of them weigh less than that. 

The standard deviation doesn't matter.  

Answer:

6x = 30

Step-by-step explanation:

6x

Let x = 5

6*5 = 30

6x = 30

________________________________

Hey!!!

Solution,

X=5

Now,

6x

=6*5

=30

So the right answer is 30.

please see the attached picture for full solution

hope it helps

Good luck on your assignment

______________________________

Answer:

45 combinations

Step-by-step explanation:

15*3= 45

Answer:

A

The first option is the correct!

They are parallel so they never connect! :)

Photos attached!

Hope this helps! Have a great day! :)

Answer:

y < x+4

y> x+6

Step-by-step explanation:

y =x+6 and y =x+4 are ║ lines because they have the same slope 1; first line is shaded below and the other above so they don't overlap and no solution

Answer:

Answers are below

Step-by-step explanation:

Yes I was surprised by the scatter plot because I didn't know there would be the most rain at 77 degrees F on the red line.

If you switched which axis each variable is graphed on, your graph would look different because the graph could be sideways on the left or the right.

The graph has a trend of increasing temperature and amount of rain as you get up to the 7th column. After the 7th column, the trend shows decreasing rain and temperature.

Answer:

[tex](x+10)(x-2)[/tex]

Step-by-step explanation:

[tex]x^2+8x-20=\\\\(x+10)(x-2)[/tex]

You can confirm this by working backwards, expanding:

[tex](x+10)(x-2)=\\\\x^2+10x-2x-20=\\\\x^2+8x-20[/tex]

Hope this helps!

Answer:

g < 10

Step-by-step explanation:

-6g + 3g + 12 > -18

Combine like terms

-3g +12 > -18

Subtract 12 from each side

-3g+12-12 > -18-12

-3g > -30

Divide each side by -3, remembering to flip the inequality

-3g/-3 < -30/-3

g < 10

Answer:

1102.42

Step-by-step explanation:

495 + 775.75=1270.75

1270.75 - 34=1236.75

1236.75 - 44.21=1192.54

1192.54 - 7.92=1184.62

1184.62 - 82.2=1102.42

Answer:$1102.12

Step-by-step explanation: You just add the $775.75 to the original $495 then from there you subtract the rest of the numbers from the total amount  and you get $1102.12