Type the correct answer in each box. Use the graph to complete the given statements. Enter the letters A, B, C, or D in the boxes. (graph below) The function with the lowest output values as x approaches infinity is ____ . The function with the greatest output values as x approaches infinity is ____ .

Answer:

Explained below.

Step-by-step explanation:

Consider the diagram of a regular octagon is inscribed inside a circle.

Suppose the perimeter if the octagon is 8a.

(a)

Compute the measure of a side of the octagon as follows:

[tex]\text{Perimeter}=8\times side\\\\8\times side=8a\\\\side=a[/tex]

Thus, the side of the octagon is a units.

(b)

The sum of all angles of around a point is 360°.

Consider the point P on the octagon.

The sum of all the angle surrounding P will be 360°.

There are a total of 8 angle surrounding the point P.

Then the measure of central angle is:

[tex]\text{Central Angle}=\frac{360^{o}}{8}=45^{o}[/tex]

Thus, the measure of central angle is 45°.

(c)

The line segment from the center of an octagon to the midpoint of a side, perpendicular to said side, is known as the apothem.

Consider the diagram.

In the diagram the line segment PC is an apothem, that is perpendicular to the AB.

The measure of segment AC = a/2 and the measure of segment PA is r (radius of the circle).

Compute he measure of PC as follows:

[tex]PA^{2}=PC^{2}+AC^{2}\\\\PC^{2}=PA^{2}-AC^{2}\\\\PC=\sqrt{PA^{2}-AC^{2}}[/tex]

      [tex]=\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex]

Thus, the measure of the apothem of the octagon  is[tex]\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex].

(d)

The area of an octagon is:

[tex]\text{Area}=2(1+\sqrt{2})a^{2}[/tex]

Answer:

([tex]\frac{3}{5}[/tex] b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - [tex]\frac{5}{3}[/tex] and b = b , thus

y= - [tex]\frac{5}{3}[/tex] x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

- [tex]\frac{5}{3}[/tex] x + b = 0 ( multiply through by 3 to clear the fraction )

- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x = [tex]\frac{3}{5}[/tex] b , thus

x- intercept = ( [tex]\frac{3}{5}[/tex] b, 0 )

Answer:

( b, 0 )

Step-by-step explanation:

Answer:

153.586 close to 154 students

Step-by-step explanation:

mean=61

standard deviation =10

sample 450 students , x between 61 and 71

(x-mean)/deviation for score 61 and 71

61-61/10=0

71-61/10=1

the z-scores is between 0 and 1 ( use calculator)

the percentage is 0.3413 close to 34%

number of students that score between 61 and 71=

450*0.3413= 153.586 close to 154 students

Answer:

linear

Step-by-step explanation:

We can write this  in the form

y = mx+b

where m is the .75 per mile and b is the 39 dollars

y = .75x + 39

Answer:

( 3u +12) / (v^2+4)

Step-by-step explanation:

(-u+3) / (v^2+4) + ( 4u+9)/( v^2+4)

Since the denominators are the same, we can add the numerators

((-u+3) + ( 4u+9)) /( v^2+4)

Combine like terms

( 3u +12) / (v^2+4)

Answer:

C

Step-by-step explanation:

First, f(x) and g(x) are mirror image over the x-axis. so add a -ve in front.

Second, f(x) is about 2x steeper than g(x), that is its slope is doubled. so add a 2 in front.

Thus, f(x) = -2 g(x)

Answer:

  see below

Step-by-step explanation:

You can work this based only on the domain. You don't need to figure the volume, though you can if you want to check the answer further.

x represents the length of the box, which has a restriction that it can be no greater than 6 ft. This tells you x ≤ 6. However, the width is 5 ft shorter than the width, so its value is x-5. But we know the width must be greater than zero:

  0 < x -5

  5 < x

So, the constraints on the domain of x are ...

  5 < x ≤ 6 . . . . . . only matches the last choice, (5, 6]

___

Checking the volume

The height is 3 more than the width, so the volume is ...

  V = LWH = (x)(x -5)(x -5 +3) = x(x -5)(x -2) = x(x^2 -7x +10)

  V = x^3 -7x^2 +10x

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

A.) 4/100

B.) 5,250,000

C.) C. 6/100

Hope this helped!!  ٩(◕‿◕｡)۶

Answer:

A) 4/100

B) 5,250,000

C) C) 6/100

Step-by-step explanation:

A) the 4 is in the hundredths place, so it’s worth 4/100.

B) 5,250,000. (250,00 is a quarter million)

C) the 6 is in the hundredths place, so it’s worth 6/100.

Answer:

Step-by-step explanation:

6s³ + 9s + 10 + 3s³ + 4s - 10

Collect like terms

6s³ + 3s³ + 9s + 4s + 10 - 10

Since, two opposites add up to zero, remove them from the expression

6s³ + 3s³ + 9s + 4s

add the like terms

9s³ + 13s

hope this helps..

best regards!!

Answer:

9s^3+13s

Step-by-step explanation:

Add each term:

9s^3+13s

I hope this helps...

And plz mark me brainliest!!

Max : 10 steps : Dad: 3 steps.

So it you multiply those each by ten, you get

100 steps : 30 steps.

30 Dad steps is 100 Max steps, so you get the answer, which is 100!

The steps taken by Max is 100.

A mathematical function that performs a calculation on two operands is known as an arithmetic operator. Common arithmetic makes use of them, and the majority of computer languages include a set of such operators that can be used in equations to carry out a variety of sequential calculations.

Given

steps taken by Max = 10

Steps taken by his Dad = 3

both steps of Dad and steps of Max should be in ratio

3/10 …(1)

steps taken by his Dad = 30

let steps taken by Max = x

ratio = 30/x …..(2)

equation 1 equals equation 2

3/10 = 30/x  

x = (30 x 10)/3

x = 100

Hence Max must take 100 steps.

Learn more about arithmetic operators;

https://brainly.com/question/25834626

#SPJ5

Answer: I just did it and the answer is 0.43

Step-by-step explanation:

Using it's concept, it is found that the probability that the person is from Texas given that the person prefers Brand b is given by:

A. 0.43.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 105 people prefer brand B, and of those, 45 are from Texas, hence:

p = 45/105 = 0.43.

Which means that option A is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ2

Answer: [tex]\left \{ {{x=10} \atop {z=63}} \right.[/tex]

Step-by-step explanation:

Vertical Angles states that 9x+27=117

Supplementary Angles states that 117+z=180

[tex]9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right][/tex]

Hope it helps <3

Answer:

Hey there!

SL=KR

We can't prove that the triangles are congruent, but since SL=SK+KL, and KR=RL+LK. We have RL=SK, so we have two lines:

SL=SK+KL

KR=SK+KL

These are clearly congruent, making these two lines congruent.

Hope this helps :)

Answer: A) The total cost of 2 candies is $6.00.

Step-by-step explanation:

Hi, the question is incomplete,  options are :

A) The total cost of 2 candies is $6.00. B) The total cost of 6 candies is $2.00. C) The total cost of 2 candies is $3.00. D) The total cost of 3 candies is $2.00.  

So, to answer this question we have to analyze the function given:

f(2)=6

Since the input value x (number of candles) is 2, and the output (cost in dollars ) is $6, the correct option is :

A) The total cost of 2 candies is $6.00.  

Answer:

30

Step-by-step explanation:

4/5 (x-20)=8

4/5x-4/5*20=8

4/5x-16=8

4/5x=24

x=(24*5)/4

x=30

hope it helps..

Step-by-step explanation:

angle (JIF) = 2x°

so angle (FIG) = (180 - 2x)°

Also , IK || EH

So , angle KIG = angle IGF = x°

angle (EFI) = 3x°

angle (IFG) = (180 - 3x)°

In triangle IFG ,

angle IGF + angle IFG + angle FIG = 180°

=> x + 180 - 3x + 180 - 2x = 180

=> 360 - 4x = 180

=> 4x = 360 - 180 = 180

=> x = 180 / 4 = 45°

Answer:

Step-by-step explanation:5

Answer:

A

Step-by-step explanation:

I'm certain the answer is this, and I understand that you are in a hurry. I can update it anytime you'd like to see the explanation

Answer:

HF is 20 m away from the tower which makes it the base of a triangle

tan 30= opp/adj=PF/HF

PF=tan 30°(20)=11.547

tan 50=T F/20 ⇒ T F=20*tan 50= 23.835

PT= T F-PF= 23.835-11.547=12.288 m

b ) the distance from point H to the power is the hypotenuse

cos 50=adj/hyp

hypo(HT)= 20/cos 50=31.114

(HF at a new angle=40)

tan 40=opp/adj = T F/HF

HF=T F/tan40=23.835/tan 40=28.405

Answer:

Option C is the correct option.

Step-by-step explanation:

Let the points be A and B

A ( -2 , 7 ) -----> ( x1 , y1 )

B ( 2 , 3 )-------> ( x2 , y2)

Now, let's find the slope:

Slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]

plug the values

[tex] = \frac{3 - 7}{2 - ( - 2)} [/tex]

Calculate the difference

[tex] = \frac{ - 4}{2 - (2)} [/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] = \frac{ - 4}{2 + 2} [/tex]

Add the numbers

[tex] = \frac{ - 4}{4} [/tex]

Any expression divided by its opposite equals -1

[tex] = - 1[/tex]

Hope this helps..

Best regards!!

Answer:

c

Step-by-step explanation:

c

Answer:

the answer is C ;D

Step-by-step explanation:

Answer:

290

Step-by-step explanation:

Answer:

290

Step-by-step explanation:

I mean you just have to look at a number line and see that 285 is closer to 290 instead of 280...

Answer:

(A) 40 km

(B) 90 km

(C) 180 km²

Step-by-step explanation:

To find the missing side of this triangle, let's use the Pythagorean theorem.

[tex]a^2+b^2=c^2[/tex], assuming that a and b are legs, and c is the hypotenuse.

Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.

[tex]9^2+b^2=41^2\\81+b^2=1681\\b^2=1681-81\\b^2=1600\\\\b = \sqrt{1600} \\b=40[/tex]

So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.

The perimeter is all the sides added together, so [tex]41+9+40 = 90[/tex] km is the perimeter.

The area are the two legs multiplied divided by 2.

So,

[tex]\frac{9\cdot40}{2} \\\\\frac{360}{2}\\\\180[/tex]

So the area of this triangle is 180 cm²

I hope this helped!

Answer:

x∈(-∞,3]

Step-by-step explanation:

2x-6<=5*3-5x

2x-6<=15-5x

+5x        +5x

7x-6<=15

+6       +6

7x<=21

:7     :7

x<=3

x∈(-∞,3]

Answer:

5 units

Step-by-step explanation:

Image of the trapezoid is attached.

To find the height of the trapezoid (image attached), let's take the formula for area of a trapezoid.

The formula for area of a trapezoid is:

[tex] A = (\frac{a + b}{2}) h [/tex]

Here, a and b represents the bases of the trapezoid.

a = 6

b = 10

h which represents height is unknown.

A = 40

Substitute figures:

[tex] 40 = (\frac{6 + 10}{2}) h [/tex]

[tex] 40 = (\frac{16}{2}) h [/tex]

[tex] 40 = 8 * h [/tex]

Solve for h:

[tex] h = \frac{40}{8} [/tex]

[tex] h = 5 [/tex]

The height of the trapezoid is 5 units

Answer:

5 units

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

5m+8n-2(3m-n)

Expand the terms in the bracket

That's

5m + 8n - 6m + 2n

Group like terms

We have

8n + 2n + 5m - 6m

Simplify

The final answer is

10n - m

Hope this helps you

Answer:

Happybday have a graet day miss uad

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dear grandma,

Thank you for your infinite life and wisdom. I hope you have a wonderful birthday this year. You are the best! Although right now isn't the best time of the year, I still wish you a happy birthday and a healthy life.

I think that would work...

Step-by-step explanation:

The 20° angle is equal to the angle next you friend.

since they are interior alternate angles

The height of the ballon is 600 feet

Let x be the missing distance we are looking for

so the missing distance is 1754 feet

Here I represented the situation to visualize the problem

Let h be L be the length of the ladder

so the ladder is 14 ft