This table displays the height of a balloon as it floats away.



A 2-column table with 6 rows. Column 1 is labeled Time (minutes) with entries 10, 11, 12, 13, 14, 15. Column 2 is labeled Height (feet) with entries 64, 73.5, 83, 92.5, 102, 111.5.



What is the rate of change for the height as the time increases by 1 minute?





Rate of change =

Answer:

a = 1, b = 4

Step-by-step explanation:

You have worked out part (a) correctly, that is

0.7575... = [tex]\frac{75}{99}[/tex] = [tex]\frac{25}{33}[/tex]

(b)

[tex]\frac{a}{11}[/tex] + [tex]\frac{b}{6}[/tex] = [tex]\frac{25}{33}[/tex]

[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{25}{33}[/tex]  

Multiply numerator/ denominator of [tex]\frac{25}{33}[/tex] by 2, thus

[tex]\frac{25(2)}{33(2)}[/tex] = [tex]\frac{50}{66}[/tex] , then

[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{50}{66}[/tex] , thus

6a + 11b = 50

Choose a = 1 ( a positive integer ), then

6(1) + 11b = 50

6 + 11b = 50 ( subtract 6 from both sides )

11b = 44 ( divide both sides by 11 )

b = 4

a = 1, b = 4, so

[tex]\frac{1}{11}[/tex] + [tex]\frac{4}{6}[/tex] = [tex]\frac{25}{33\\}[/tex]

Answer:

19

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 4 , thus

a₅ = 3 + (4 × 4) = 3 + 16 = 19

Answer and Step-by-step explanation:

What does ^2 mean? Well, first let's find out what ^ means, this is "squaring". So, ^2 means two is squared by another number. Such as 6^2. Six is squared by two.

Hope you found this helpful! Have a wonderful day!

The solution set is r = (+4, -4) .

Answer:

x = 8, -4

Step-by-step explanation:

2x-4-6=6; therefore, x = 8

2x-4=-12; therefore, x = -4

Answer:

5/8

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Here is a number line:

<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4     5      6

Start at 3, marked with an S below:

<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----S----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4      5     6

Since you are adding a negative number, -5, count 5 numbers to the left starting on P which corresponds to 3.

                                        5<---4<---3<----2<---1<---Start

<-------+-----+-----+-----+-----E-----+-----+-----+-----+-----S----+-----+-----+------>

        -6    -5     -4    -3     -2    -1      0      1      2     3      4      5     6

You end up at E which corresponds to -2.

Therefore, -5 added to 3 is -2.

I don't know how your teacher can say that 3 + (-5) is not -2 since -2 is the correct answer. Perhaps you should check on the question to make sure it really is 3 + (-5) and not something else.

Answer:

we know

perimeter of triangle = sum of all sides

here lengths of sides are consecutive integers so

length  of three sides = x, (x+1) and (x+2)

now

Perimeter = 111

or,  x + (x+1) + (x+2) = 111

or 3x + 3 = 111

or 3x = 108

x = 36

x = 36

(x+1) = 36 + 1 = 37

(x+2)= 36 + 2 = 38

Answer:multiple property

Step-by-step explanation:

Answer: Associative property of multiplication: Changing the grouping of factors does not change the product. For example, ( 2 × 3 ) × 4 = 2 × ( 3 × 4 ) (2 \times 3) \times 4.

Step-by-step explanation: Changing the grouping of factors does not change the product. For example, ( 2 × 3 ) × 4 = 2 × ( 3 × 4 ) (2 \times 3) \times 4.

I really hope it help!!!!!!!!!

[tex]\text{Hello! :D}[/tex]

[tex]\boxed{\text{width = 13ft, length = 29ft}}[/tex]

[tex]\text{ Let the width = "w":}\\\\\text{Write an expression to represent the length in terms of "w":}\\\\l = 2w + 3\\\\\text{Formula of a rectangle: } \\\\P = 2l + 2w\\\\\text{Therefore:}\\\\84 = 2(2w + 3) + 2(w)\\\\84 = 4w + 6 + 2w\\\\84 = 6w + 6\\\\\text{Subtract 6 from both sides:}\\\\78 = 6w\\\\\text{Divide both sides by 6:}\\\\78/6 = 6w/6\\\\w = 13ft\\\\\text{Plug this value of "w" into the equations for the length:}\\\\l = 2(13) + 3\\\\l = 26 + 3\\\\l = 29ft[/tex]

The measure of DE = 90 degrees because its corresponding central angle = 90 degrees.

Answer:

Length = 7 cm

Step-by-step explanation:

Step 1:

136 ÷ 8

Answer:

17

Hope This Helps :)

Answer:

17

Step-by-step explanation:

Because you have to divide 136 with the 8 and then you have you answer which is 17

I think it is adjacent because it isn't linear or vertical at all.

Answer:

Please require a picture pls

Step-by-step explanation:

Answer:

when both sides look the same is symmetry

400-220=180

180/3=60

The answer is 60.

It would be the last bubble, 4/6

hope I helped ya

Answer:

1) 2 1/4 inches (2.25)

2) 5.3 millimeters

3) X=10 and YZ=60

Step-by-step explanation:

Number 1, you just add the measurements because n and q is the start and end of the line segment.

Number 2, you are given the whole measurement, and you know FG which is 9.7, so you subtract the 15 (whole measurement) by 9.7, which is 5.3.

Number 3, you know that XY and YZ equal XZ, so 8x+1 would equal 81. Do the math, you would get 8x=80 and then x=8. Now you know x, plug it in for 6x, so 6(10)=60.

Hey there!☺

[tex]Answer:\boxed{-z-3}[/tex]

[tex]Explanation:[/tex]

[tex]-3-z[/tex]

-3 + -z Add together

-z - 3

Hope this helps!

Step-by-step explanation:

Standard form of a quadratic is f(x) = ax² + bx + c.

To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).

Then, plug back into the equation to find the y-coordinate of the vertex.  k = f(h).

Finally, the leading coefficient is the same as the standard form, a.

f(x) = a(x − h)² + k

Another method is to complete the square.

Answer:

let cp be x

mp= x+ (20% 0f x)= 1.2x

sp = mp -d%of mp= 1.2- 15% *1.2 =1.02x

profit = 40

sp-cp =40

1.02x-x=40

x=2000

cp =2000

mp= 1.2*2000=2400

Step-by-step explanation:

Answer: First choice. ECFBDA

Explanation:

The answer choices list either step E or step F first.

It turns out that step E must come first because we place the compass on the original angle ABC to help copy this angle.

The arc formed on angle ABC intersects the two rays as described in step E. Those two intersection points are labeled point D and point E, which is what step C describes. So C must be the next step.

Therefore the correct sequence is ECFBDA.

ECFBDA is the correct order of steps for bisecting angle ABC.

"Angle bisector is defined as the ray which divides an angle into two equal measures."

According to the question,

Rearrange the given statements in correct order of steps for angle bisector.

E. Place the compass on point B, and swing an arc that intersects rays BA and BC.

C. Place point D on the intersection of the arc on ray BA and point E on                                                

    the intersection of the arc with ray BC.

F. Place the compass on point D, and draw an arc inside the angle.

B. Keeping the compass the same distance , place the compass on point

    E. draw an arc inside the angle.

D.  Place point F on the intersection of the arcs created from points D

     and E.

A. Draw a ray from point B through point F.

Hence, ECFBDA is the correct order of steps for bisecting angle ABC.

Learn more about angle bisector here

https://brainly.com/question/12896755

#SPJ2

Answer:

I am stuck on that question tooo

Step-by-step explanation:

Step-by-step explanation:

First, let's write an equation.

h= numbers of hours, the instructor will charge $8 per hour.

s= amount of $

"12" is the initial fee.

From this information the equation will look like:

s=8h

However, on our graph, we will have to start on 12 since this was the initial fee. (so on the y, put a dot on 12.)

I think that (0, 12) is the y-intercept but I'm not entirely sure. In reality, your graph can't have any negative h(x) or y(s) values so the graph would be shaped like an "L".

Answer:

expoential

Step-by-step explanation:

Answer:

               400 miles  

Step-by-step explanation:

x    -  miles driven

140 + 0.70x    -  a day cost of renting from A

60 + 0.90x    - a day cost of renting from B

140 + 0.7x = 60 + 0.9x

   - 60           - 60

80 + 0.7x = 0.9x

    -0.7x       -0.7x

    80  =  0.2x

    ×5         ×5

 400  =  x