Exit Ticket: Understanding Rational Inputs
Lesson Synthesis
5
4
Answe
• What are the coordinates of P and what do they mean in this context?
• What are the coordinates of Q and what do they mean isothis context?
100 points

Answer:

15 cm

Step-by-step explanation:

Given that :

Reading at one end, initial reading = 3.5 cm

Reading at the other end, final reading = 18.5 cm

Length of needle :

Final Reading - Initial reading

18.5cm - 3.5cm

= 15cm

Answer: Einstein primarily emigrated to the United States because he had a Jewish background, and Adolf Hitler, who became Germany's chancellor in 1932, was about to adopt Anti-Semitic policies.

Hope this helps!!

Sorry if it's incorrect!!

Have a nice day!!

c on edge

wanted to avoid being a victim of anti-semitism

Hello , Your answer is [tex]{ r+9=6}{}\\\\\end{array}\right] }[/tex]

Hope this help's!

Answer:

r + 9 = 6

Step-by-step explanation:

Answer:

1 and Q

Step-by-step explanation:

The first and second one, as The angle can be whatever number or letter correlates with that one. R is a different point, and QRS isn't an actual angle.

Hope this helps :)

Answer:

i'm pretty sure that it's y=-2x+1

Step-by-step explanation:

first we solve for the slope of the line:

we have the points (-1,3) and (3,-5). So we write an equation like so:

3 - -5      

-1 - 3    

3/-1 - -5/3. solving that, you get 8/-4, and 8 divided by -4 is -2, so thats our slope.

now all we've got to do is get the y intercept. the way i found it was i graphed the line, put a dot on the points that we have ( (-1,3) and (3,-5) ) and you should

get 1 as the point on the y axis. again, i myself am not a pro or anything so if its not the correct answer i am so sorry. <3

Answer:

-3

-12

-5

Step-by-step explanation:

A negative number with another negative symbol put onto it is positive because both negative symbols cancel each other out

So -(-3) = 3

-(-12) = 12

-(-5) = 5

Answer:

$15

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Using the rules of radicals

[tex]\sqrt{\frac{a}{b} }[/tex] = [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex]

Given

[tex]\sqrt{\frac{2}{x} }[/tex] × [tex]\sqrt{\frac{x^2}{8} }[/tex]

= [tex]\sqrt{\frac{2x^2}{8x} }[/tex] ←  cancel 2 and 8 and x² and x

= [tex]\sqrt{\frac{x}{4} }[/tex]

= [tex]\frac{\sqrt{x} }{\sqrt{4} }[/tex]

= [tex]\frac{\sqrt{x} }{2}[/tex] → B

Answer:

Ali could use 6 tables. There would be 3 adults

and 1 child seated at each table.

Step-by-step explanation:

GCF to find the number of tables:

18: 1, 2, 3, 6 , 9, 18;

6: 1, 2, 3, 6 .

Answer:

A)

At t = 3/2

B)

36 feet

Step-by-step explanation:

The soccer ball is modeled by the function:

[tex]h(t)=-16t^2+48t[/tex]

Where h(t) represents the height in feet of the ball over time t.

Note that this is a quadratic equation.

Part A)

Since this is a quadratic, the maximum height will be reached when the ball reaches its vertex.

So, we will find the x-coordinate of the vertex.

The vertex is given by:

[tex]\displaystyle \Big (-\frac{b}{2a} , h( -\frac{b}{2a} ) \Big)[/tex]

In this case, a = -16 and b = 48. Thus, the t-coordinate is:

[tex]\displaystyle t=-\frac{48}{2(-16)}=-\frac{48}{-32}=\frac{3}{2}[/tex]

The ball will reach is maximum height at t = 3/2.

Part B)

To find the maximum height, we can simply substitute the value back into the function and evaluated. Therefore:

[tex]\displaystyle\begin{aligned} h(\frac{3}{2})&=-16\Big(\frac{3}{2}\Big)^2+48\Big(\frac{3}{2}\Big)\\\\ &=-16\Big(\frac{9}{4}\Big)+24(3)\\ \\ &=-36+72\\\\ &= 36 \end{aligned}[/tex]

The maximum height of the ball is 36 feet.

Answer:

Week 15

Step-by-step explanation:

Find the equations to the sequences and solve as equation

5n+20 = 2n+50

5n= 2n +30

3n=30

n=15

Answer: I think it’s

f ` (x) = - 8 / x²

f ` (11) = - 8 / 121

The value of the derivative at x = 11 is 8/121

The equation of the function is given as:

[tex]f(x) = -\frac 8x[/tex]

Rewrite the above equation as:

[tex]f(x) = -8x^{-1}[/tex]

Using the first principle, the derivative of f(x) is:

[tex]f'(x) = -1 \times -8x^{-1-1}[/tex]

[tex]f'(x) = -1 \times -8x^{-2}[/tex]

Evaluate the product

[tex]f'(x) = 8x^{-2}[/tex]

Rewrite the above equation as:

[tex]f'(x) = \frac{8}{x^2}[/tex]

Substitute 11 for x

[tex]f'(11) = \frac{8}{11^2}[/tex]

[tex]f'(11) = \frac{8}{121}[/tex]

Hence, the value of the derivative at x = 11 is 8/121

Read more about function derivatives at:

https://brainly.com/question/5313449

Answer:

0.6

Step-by-step explanation:

Answer:

c. 23 packages

Expert Checked

Me too there's no math problem...

Things you could try to fix this:

Try asking your teacher what is the work?

Try searching or contacting main educator on your work files.

Figure out what your teacher told you

Try calling the school or teacher.

Etc.

Answer:

i think they are simplified and i don't know what a restriction is

Answer:

there was a difference between the 40 and 120 which was 80 so if there are 500 peach trees he would need to plant 580 because you add the difference to the total. The answer is 580 apple trees

Step-by-step explanation:

plz mark brainliest

Answer:

10x C

Step-by-step explanation:

10x (10x+1)= 10x^2+10x

Answer:

64 yd

Step-by-step explanation:

[tex]\frac{x}{40} =\frac{32}{20} \\x=\frac{32}{20} \times 40=64 yd[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The first attachment shows the sort of geometry involved. The line of sight from the top of the lighthouse makes a tangent with the earth's surface at the horizon (neglecting optical effects due to the atmosphere).

The hypotenuse of the relevant triangle is (r+h), and the angle is adjacent to the radius, r. Then the cosine relation applies:

  Cos = Adjacent/Hypotenuse

  cos(α) = r/(r+h)

We note that the radius is in km, and the length h is given in meters, so we need to do a conversion to put the numbers in this formula. We don't care so much about the angle itself, but we need its value to find the length of the arc along the earth's surface. That is ...

  s = r·α

so, the distance of interest is found from ...

  cos(α) = 6367/(6367 +0.025)

  r·α = 6367·arccos(6367/6367.025) ≈ 17.84 . . . km

The horizon is about 17.8 km from the observer.

__

The second problem requires we find the height value that makes the distance 32 km.

  32 = r·α = 6367·arccos(6367/(6367 +h))

Dividing by the earth's radius and taking the cosine, we have ...

  cos(32/6367) = 6367/(6367 +h)

  h = 6367 -6367/cos(32/6367) ≈ 6367.0804 -6367 = 0.0804 . . . km

The cliffs must be about 80.4 meters high for it to be possible to see that distance.

First, we take the first given information: 200 pieces = £76. Since the other unknowns are expressed in pence "p", we convert this amount to "p" = 76 x 100 = 7600p.

The information on "x" and "y" gives us 2 equations:

first:

x pieces + y pieces = 200 pieces (or x + y = 200)

placing "x" in terms of "y" gives us x = 200 - y

in terms of "y": y = 200 - x

50p(x) + 20p(y) = 7600p (or 50x + 20y = 7600)

solving for "x" gives:

x = (7600 - 20y) / 50

substituting y from our first equation gives:

x = (7600 - 20(200 - x)) / 50

x = (7600 - 4000 + 20x) / 50 (distribute - remember to distribute the negative sign)

x = (3600 + 20x) / 50 (simplify)

x = 360/5 + (2/5)x (subtract (2/5)x from both sides)

(3/5)x = 360/5

3x = 360

x = 120 (rulers bought)

substituting into our first equation:

y = 80 (pens bought)

check our solution using the second equation:

50x + 20y = 7600

50(120) + 20(80) = 7600

6000 + 1600 = 7600 (correct)

therefore:

x = 120 rulers Barry bought

y = 80 pens Barry bought

The number of rulers is 120 and the number of pens are 80 in number, bought by Barry.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

x + y = 200 pieces

x = 200 - y  (i)

y = 200 - x  (ii)

50(x) + 20(y) = 7600p

Solve the equation for x,

x = (7600 - 20y) / 50

Substitute y from the equation,

x = (7600 - 20 (200 - x)) / 50

x = (7600 - 4000 + 20x) / 50

x = (3600 + 20x) / 50

x = 360/5 + (2/5)x

(3/5)x = 360/5

3x = 360

x = 120 is the number of scales.

Substitute the value of x in the first equation,

y = 80 is the number of pens.

To know more about arithmetic operation:

https://brainly.com/question/13585407

#SPJ2

Answer:

Y = 30x + 100

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

40 = 29 + x

Step-by-step explanation:

hope this helped, sorry if wrong

Answer:

sorry

Step-by-step explanation:

Answer:

system of equations

Answer:

System Of Equations

Step-by-step explanation:

Answer:

5.123 × 10-3

m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

I hope this helps.. :D

Answer:

x=3, y=2

Step-by-step explanation:

Answer:

3.08

Step-by-step explanation:

1/2(6.2-0.04)

1/2(6.16)

6.16/2

3.08