The Observatory charges a $100 trip fee, plus $6.50 per student. Identify the rate of change.

Answer:

sin^2(a) I believe. Delete my response if needed.

Step-by-step explanation:

tan²(α) (2 cos²(α) + sin²(α) - 1)

Recall that sin²(α) + cos²(α) = 1 for all α. Then sin²(α) - 1 = -cos²(α) :

tan²(α) (2 cos²(α) - cos²(α))

tan²(α) cos²(α)

Rewrite tan(α) = sin(α) / cos(α) :

(sin(α) / cos(α))² cos²(α)

(sin²(α) / cos²(α)) cos²(α)

Cancel the factors of cos²(α) :

sin²(α)

Answer:

The solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]2x\:+\:2y\:+z\:=\:7[/tex]

[tex]-x-\:y\:+z\:=\:-5[/tex]

[tex]x+3y-4z=12[/tex]

solving the system of the equations by the elimination method

[tex]\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]-2x-2y+2z=-10[/tex]

[tex]+[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]3z=-3[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]2x+6y-8z=24[/tex]

[tex]-[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]4y-9z=17[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}[/tex]

Rearranging the equations

[tex]\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}[/tex]

solve [tex]3z=-3[/tex] for z:

[tex]z=-1[/tex]

[tex]\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1[/tex]

solve  [tex]4y-9\left(-1\right)=17[/tex] for y:

[tex]4y-9\left(-1\right)=17[/tex]

[tex]4y+9=17[/tex]

[tex]4y=8[/tex]

[tex]y=2[/tex]

[tex]\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2[/tex]

solve [tex]2x+2\cdot \:2-1=7[/tex] for x:

[tex]2x+2\cdot \:2-1=7[/tex]

[tex]2x+3=7[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

Therefore, the solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

Answer:

Step-by-step explanation:

3x + y + 72 = 180

3x + y = 108 .... (1)

2x + y = 90 ..... (2)

(1) - (2)

x = 18°

y = 54°

Answer:

Step-by-step explanation:

Answer:

2x -1

Step-by-step explanation:

x*x =2x 3-4 =-1

2x+-4

Answer:

I believe 225 hamburgers were sold on Monday.

Step-by-step explanation:

Answer:

ok, so the answer would be 27 hot dogs and 53 tacos salads

Step-by-step explanation:

Answer:

-1/9

Step-by-step explanation:

y2-y1

x2-x1

Answer:

$150

Step-by-step explanation:

Well we know that 10% is going to equal 1/10 of 100%.

So now just multipy 15% times 10 to get the original price.

Answer:

16 Minutes

Step-by-step explanation:

[tex]\frac{4}{25} \\ \\[/tex] = [tex]\frac{16\\}{100}[/tex]

Both the numerator and denominator is multiplied by 4.

Answer:

3.05 ft

Step-by-step explanation:

Answer:

             The answer is 1,464.

The answer will be -1,464, when 1464 is "below sea level".

I hope it help you...

Answer:

519

Step-by-step explanation:

We know the admission for adults is $22, and the kids ticket is 5 less.

22 - 5 = 17

now we know the kids ticket is $17

12 adult tickets - 22 x 12 = 264

15 children - 15 x 17 = 255

264 + 255 = 519

Answer:

x= 40

Step-by-step explanation:

The reason this is so is because a straight line's degree is always 180. And 4(40)-20=140 and 180-40=140. This is how you would work out the right side. This gives you your answer.

Answer:

40

Step-by-step explanation:

[tex]x + 4x - 20 = 180 \\ 5x = 180 + 20 \\ x = 200 \div 5 \\ x = 40[/tex]

please mark as brainliest

Answer:

-2.4 · [tex]10^{5}[/tex]

Step-by-step explanation:

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

The given inequality is |y – 3| − 4 ≤ −3.

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.

Now, solve inequality |y – 3| − 4 ≤ −3.

Add 4 on both sides of the inequality.

That is, |y – 3| − 4+4 ≤ −3+4

y-3≤1 OR -1≤y-3

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

To learn more about compound inequality visit:

https://brainly.com/question/20296065.

#SPJ2

Answer:

1 solution

Step-by-step explanation:

You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.

Answer:

3.5

Step-by-step explanation:

You would do 14 divided by 4! Hope this helped

Answer:

3.5

Step-by-step explanation:

14 divided by 4 equals 3.5

Answer 1 is the attached pic

Answer:

16

Step-by-step explanation:

(-2i)(8i)

(2(cos(3π/2)+i×sin(3π/2)))×(8(cos(π/2)+i×sin(π/2)))

2×8(cos(3π/2+π/2)+i×sin(3π/2+π/2))

16(cos(2π)+i×sin(2π))

16(cos(0+2π)+i×sin(0+2π))

16(cos(0)+i×sin(0))

16(alternate form)

Answer:

the answer would be t56 im guess ing along with x

Step-by-step explanation:

The line of symmetry for the parabola represented by the equation is

x = 1.

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

Given an equation of a parabola, y = -x²+2x+6

Factorizing the equation, we get,

x = 1+√7 or x = 1-√7

We know that the line of symmetry of a parabola is equal to the x-coordinate of the vertex of the parabola.

We also know that the x-coordinate of the vertex of a parabola is equal to the average of zeros. So the x-coordinate of the vertex of the parabola would be:

(1+√7 + 1-√7)/2 = 1

Hence, the equation represents the line of symmetry of the given parabola is x=1.

For more references on parabola, click;

https://brainly.com/question/21685473

#SPJ1

Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!

Answer:

3a+9

Step-by-step explanation:

Answer:

3a+9

Step-by-step explanation:

5-2=3 then 3a=9 it pretty simple

Answer:

Step-by-step explanation:

Step one:

given

speed, v= 4mph

time taken t=1 hour

The velocity is defined and the rate of change of displacement

Required:

Distance traveled

we know that the expression relating distance, velocity and time is

velocity= distance/time

distance= velocity* time

substitute we have

Distance=4*1

Distance= 4miles

The distance traveled and the displacement of the honeybee in miles  4miles

Answer:

x=3, x=6, x=-3, x=-6

Step-by-step explanation:

So, every single one except 0.

x > -3

x is greater than -3.

i.e -2, -1, 0, 1, 2, 3, 4, 5, . . . . .

From the given option we can select the correct answers.

We see that,

0, 3, and 6 are the correct answer.

The values of x that are solutions to the given inequality are 0, 3, and 6.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

7 + 4x > x - 2

Solve for x.

7 + 4x > x - 2

Subtract x on both sides.

7 + 4x - x > -2

7 + 3x > -2

Subtract 7 on both sides.

7 + 3x - 7 > -2 - 7

3x > -9

Divide both sides by 3.

x > -3

This means x is greater than -3.

i.e -2, -1, 0 , 1, 2, 3, 4, 5, . . . . .

From the given option we can select the correct answers.

We see that,

0, 3, and 6 are the correct answer.

Thus,

The values of x that are solutions to the given inequality are 0, 3, and 6.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Answer:

(0,6) is the answer.................

Answer: 6 but also (0,6)

Step-by-step explanation:

In the X-axis : 0, 0 the difference is 0

In the Y-axis : -7, -1 the difference is 6

Because -7+6= -1

Answer:

nonproportional

Step-by-step explanation:

proportional would mean that the y intercept is 0 but it's 3

Answer: 15

Step-by-step explanation: