A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet away from the player. The height $y$ (in feet) of a second hockey puck is modeled by $y=x\left(0.15-0.001x\right)$ , where $x$ is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.

Answer:

roughly 3%

Step-by-step explanation:

Answer:

about 34.9%

Step-by-step explanation:

I could be wrong on this, but by multiplying his profit per month by 12, and his electricity cost by 12, then you get his yearly profit and cost of electricity. Then, you divide the profit by electricity and wa la you get 34.9%.

PLZ mark me brainliest!!!! :)))))

Answer:

I took the test

Step-by-step explanation: Linear pair postulate

m<abc + m<cbd =180°

subtraction property of equality

m<abc -90°

All expression and phrase are filled below.

Here,

We have to filled all expression and phrase.

What is right angled triangle?

A right-angled triangle is a triangle, which has one of its interior angles equal to 90 degree.

Now,

Given that;

⇒ m∠CBD = 90 degree  ….(i)    

We have to prove triangle ABC is right angled triangle.

We can see that the line extends down and perpendicular to the line segment BC at point B.

We can also see that ∠ABC and ∠CBD are supplementary angle.

Hence, We prove as;

         Statement                                                Reason

1) m∠CBD = 90 degree                                        ( Given )

2) ∠ABC and ∠CBD are supplementary.  ( Because ABD is a line and  

                                                                ∠ABC and ∠CBD are linear

                                                                pair)                                                

3). ∠ABC+∠CBD = 180 degree                ( Definition of supplementary)

4) ∠ABC+ 90 = 180 degree                      (  m∠CBD = 90 degree )

5) ∠ABC + 90 - 90 = 180° - 90°            ( subtraction property of equality)

∠ABC = 180° – 90°    (from (i))

∠ABC = 90 degree

6) ∠ABC is a right angle.                     ( Definition of right angle)

7) Δ ABC is a right triangle.                  ( Definition of right triangle)

Therefore, according to definition of right angled triangle,

The triangle ABC is a right angled triangle.

To learn more about right angled triangle visit:

https://brainly.com/question/1248322

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Answer:

asddsdaddd

Step-by-step explanation:

Answer:

3y^2+2y

Step-by-step explanation:

Answer:

[tex]y(x) = 0[/tex]

Step-by-step explanation:

Let P(1) = 0, the differential equation becomes:

y" + 3y' + 2y = 0

Also let y' = my and y'' = m²y

Substitute

m²y+3my+2y = 0

(m²+3m+2)y = 0

The auxiliary equation is expressed as:

m²+3m+2 = 0

Factorize

m²+2m+m+2 = 0

m(m+2)+1(m+2) = 0

(m+1)(m+2) = 0

m+1 = 0 and m+2 = 0

m₁ = -1 and m₂ = -2

Since the value of m is real and distinct, the solution to the differential equation will be expressed as:

[tex]y = C_1e^{m_1x}+C_2e^{m_2x}\\[/tex]

[tex]y(x) = C_1e^{-x}+C_2e^{-2x}\\[/tex]

Given the initial condition y(0) = 0

[tex]y(0) = C_1e^{-0}+C_2e^{-2(0)}\\0 = C_1+C_2\\C_1+C_2 = 0 ................. 1[/tex]

If y'(0) = 0

[tex]y'(x) = -C_1e^{-x}-2C_2e^{-2x}\\y'(0) = -C_1e^{-0}-2C_2e^{-2(0)}\\0 = -C_1-2C_2\\C_1-2C_2 = 0...................... 2[/tex]

Solve eqn 1 and 2 simultaneously

From 1:

C₁ = -C₂ .......... 3

Substitute equation 3 into 2:

-C₂-2C₂ = 0

-3C₂ = 0

C₂ = 0

Substitute the constant into the differential equation.

[tex]y(x) = C_1e^{-x}+C_2e^{-2x}\\\\y(x) = 0[/tex]

Answer:

Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle ... If one circular table has a radius of 4 feet and a center at C(-4, 6), find the center and ... The points (-5, 2) and (-5, 8) lie on a circle with a radius of 3.

Step-by-step explanation:

hope this helps

Answer:

4^4×6^2

Step-by-step explanation:

There are four 4's and two 6's

So in exponential form it is 4^4×6^2

Answer:

Tyler and llan scored 24 points.

Explanation:

Another way to state this problem is what is 48% of 50.

"Percent" or "%" means "out of 100" or "per 100", Therefore 48% can be written as

48

100

.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "n".

Putting this altogether we can write this equation and solve for n

while keeping the equation balanced:

n=48,100 × 50

n = 24,001,00

n= 24

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

12(n/12 = 8 + n)

n = 96 + 12n

-11n = 96

n = -96/11

Answer:

-96/11 or -8 8/11

Step-by-step explanation:

For this, create an equation, x/12=x+8.

Any number without a denominator has a denominator of 1, so x/12=(x+8)/1.

Now, cross multiply to get 1*x=12(x+8).

Simplify that to x=12x+96.

Subtract 12x from both sides, and you have -11x=96.

Divide by -11, and x=-96/11.

Answer:

11. y=1 1/3x-3

12. y-4=3(x-2)

Step-by-step explanation:

here ya go

Answer:

The answer is in the photo.

Answer:

D and E

Step-by-step explanation:

It is acute because all angles are under 90 degrees. This means that it cannot be F, obtuse. It cannot be A because A scalene triangle is a triangle in which all three sides have different lengths. It cannot be B either because it has 3 sides of equal angles. It cannot be right because non of the angles are 90 degrees. It is equilateral.

Hope this helps.

Answer:

It allows you to find the slope of the gross income that you are earning. Linear inequalities show how much money you earn from the maximum to the potential minimum. Linear lines are straight so they show the average or the best fit of your financial status.

Step-by-step explanation:

Hope this helps!

Answer: f(-5)= -5

Step-by-step explanation:

If f(x)=x then f is one and 1 times -5 is -5

Answer:

0

Step-by-step explanation:

5(x+3) replace x with -3

5(-3+3)

5(0)

0

Answer:

the answer is 337

Step-by-step explanation:

-236+573=337

Answer:

bloop

Step-by-step explanation:14 and 30

If it were a square it would be 17.5meters on every side, but we are not solving for a square we are solving for a rectangle. The dimensions for this rectangle are 19 long 16 wide.

Answer:

304m?

Step-by-step explanation:

Google

okay bye

bye

Answer:

B, C, and E

Step-by-step explanation:

B because 0.75*10=7.5. C because 4*0.75=3. And E because 0.75 is how much each snickers bar is is that is the unit price

Answer:

h = 0.1 142857 w

Step-by-step explanation:

Answer:

hayy

Step-by-step explanation:

Answer:

[tex]4x^2-5x+8=0[/tex]

Step-by-step explanation:

[tex]4x^2-3x+9=2x+1[/tex]

We need to get the equation in standard form:

[tex]ax^2+bx+c=0[/tex]

Subtract [tex]2x[/tex] from both sides of the equation:

[tex]4x^2-5x+9=1[/tex]

Subtract [tex]1[/tex] from both sides of the equation:

[tex]4x^2-5x+8=0[/tex]

Answer:

x =  -14

Step-by-step explanation:

Hi there !

36 = - 3(x + 2)

36 = - 3x - 6

3x = - 36 - 6

3x = - 42

x = - 42/3

x = - 14

Good luck !

Answer:

Table C, Table D, Table E

Step-by-step explanation:

See attachment for tables

Given

[tex]p = 3.25b[/tex]

Required

Which of the tables is more expensive than the given function

To answer this question, we simply determine the equation of each table and then compare the equation with [tex]p = 3.25b[/tex]

Table A:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (1,2.75)[/tex]

[tex](b_2,p_2) = (4,11)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{11 - 2.75}{4 - 1}[/tex]

[tex]m = \frac{8.25}{3}[/tex]

[tex]m = 2.75[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 2.75 = 2.75(b-1)[/tex]

[tex]p - 2.75 = 2.75b-2.75[/tex]

[tex]p = 2.75b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]2.75 < 3.25[/tex]

Hence:

This equation is less expensive than [tex]p = 3.25b[/tex]

Table B:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (1.5,3.75)[/tex]

[tex](b_2,p_2) = (6,15)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{15 - 3.75}{6 - 1.5}[/tex]

[tex]m = \frac{11.25}{4.5}[/tex]

[tex]m = 2.5[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 3.75 = 2.5(b-1.5)[/tex]

[tex]p - 3.75 = 2.5b- 3.75[/tex]

[tex]p = 2.5b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]2.5 < 3.25[/tex]

Hence:

This equation is also less expensive than [tex]p = 3.25b[/tex]

Table C:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (2,7)[/tex]

[tex](b_2,p_2) = (4,14)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{14 - 7}{4 - 2}[/tex]

[tex]m = \frac{7}{2}[/tex]

[tex]m = 3.5[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 7 = 3.5(b - 2)[/tex]

[tex]p - 7 = 3.5b - 7[/tex]

[tex]p = 3.5b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3.5 > 3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table D:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (2.5,10)[/tex]

[tex](b_2,p_2) = (5,20)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{20 - 10}{5 - 2.5}[/tex]

[tex]m = \frac{10}{2.5}[/tex]

[tex]m = 4[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 10 = 4(b - 2.5)[/tex]

[tex]p - 10 = 4b - 10[/tex]

[tex]p = 4b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]4 > 3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table E:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (6, 22.5)[/tex]

[tex](b_2,p_2) = (12,45)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{45 - 22.5}{12 - 6}[/tex]

[tex]m = \frac{22.5}{6}[/tex]

[tex]m = 3.75[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 22.5 = 3.75(b - 6)[/tex]

[tex]p - 22.5 = 3.75b - 22.5[/tex]

[tex]p = 3.75b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3.75>3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table F:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (7, 21)[/tex]

[tex](b_2,p_2) = (14,42)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{42 - 21}{14 - 7}[/tex]

[tex]m = \frac{21}{7}[/tex]

[tex]m = 3[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p -21 =3(b -7)[/tex]

[tex]p -21 =3b -21[/tex]

[tex]p = 3b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3 < 3.25[/tex]

Hence:

This equation is less expensive than [tex]p = 3.25b[/tex]

Answer:

Divisible by 3 and 9

Step-by-step explanation:

Answer

multiples of 3 and 9

Step-by-step explanation:

3*12=36

9*3=27

9*4=36

Answer:

y - 1 = (-2/3)(x + 9)

Step-by-step explanation:

Here you are given a point on a line and the slope of the line.  You'll need to apply the "point-slope" formula

y - k = m(x - h) (Memorize this)

Then m = slope = -2/3, h = -9 and k = 1.

Making the appropriate substitutions, we get:

y - 1 = (-2/3)(x + 9)

Answer

20 students will take biology, 10 take Integrated Science and 10 take both

Step-by-step explanation:

With Venn diagrams it's best you work from the inside out. With that in mind we know 10 students take both Biology and Integrated Science. In Biology there are 30 total students including the ones that also take both sciences. So we subtract the ones that take both and get 20 students taking only biology. After that there's 30 students total, subtract that from 40, the total number of students and you get 10, the amount of students who take Integrated Science