The second term of an arithmetic sequence is –39. The rule a, - a-1 +12 can be used to find the next term of the
sequence. What is the explicit rule for the arithmetic sequence?

The graph that has a linear fit that is best for the data that Alex collected is the graph attached.

A linear fit that would be best for Alex's data is one that tries to get an equal number of shoe sizes on both sides of the line.

The shoe sizes should also be a roughly equal distance to the line and the line should be drawn in the middle of the data. The line that does this best is shown attached.

Find out more on linear fits at https://brainly.com/question/839548.

Answer:

[tex]\frac{198}{7} \ \text{feet}^{2}[/tex]

Given:

To find the area of the rug, we need to use the formula "πr² or π(D/2)²"

Where:

Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.

⇒ [tex]\pi (\frac{D}{2} )^{2}[/tex]

⇒ [tex]\pi (\frac{6}{2} )^{2}[/tex]

⇒ [tex]\pi (3 )^{2}[/tex]

⇒ [tex]\pi (3 )(3)[/tex]

⇒ [tex]9\pi[/tex]

Substituting "22/7" as π:

⇒ [tex]9(\frac{22}{7} )[/tex]

⇒ [tex](\frac{198}{7} )[/tex]

When finding the area of ANY shape, do not forget to include the units.

⇒ [tex]\frac{198}{7} \ \text{feet}^{2}[/tex]

Answer:

28.26 ft²

Step-by-step explanation:

Formula:

[tex]\text{Area of circular rug:} = \pi r^{2}[/tex]

Determining the radius of the circular rug:

To determine the radius, we need to divide the diameter by 2.

Given diameter: 6 feet

[tex]\implies {\dfrac{\text{Diameter}}{2} = \text{Radius}[/tex]

[tex]\implies {\dfrac{\text{6}}{2} = \text{Radius}[/tex]

[tex]\implies 3\ \text{feet} = \text{Radius}[/tex]

Replacing the radius in the formula:

[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]

Determining the area of the circular rug:

[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]

[tex]\implies \text{Area of circular rug:} = 9\pi[/tex]

Replacing π as 3.14 (Approx. measure of π):

[tex]\implies \text{Area of circular rug:} = 9(3.14)[/tex]

[tex]\implies \text{Area of circular rug:} = 28.26 \ \text{ft}^{2}[/tex]

Answer:

2,3

Step-by-step explanation:

Answer: (2,3)

Step-by-step explanation:

add the two x’s and divide them then do the same with your y’s.

Answer:

135 miles in 3 hours, or 45 miles an hour

Step-by-step explanation:

well, if it travels 90 miles in 2 hours, than how many does it do in one?

90m/2h=45 miles in ONE hour.

Given that info, we can solve for 3 hours.

If ONE hour is 45, then THREE hours is just 45*3=135

135 miles in 3 hours, or 45 miles an hour

Answer:

90 miles in 2 hours

45 miles per hour

135 miles in 3 hours

Step-by-step explanation:

Bro come on simple maths

this is what would make sence for me

the frist one was confusing

Answer:

thanks for the points

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know, slope (m) is equal to tan θ for a straight line :

[tex]\qquad \tt\dashrightarrow \: m = \tan( \theta) [/tex]

[tex]\qquad \tt\dashrightarrow \: m = \dfrac{5}{2} [/tex]

So, we can say that it's a positive constant slope

Answer:

y-intercept: 20

x-intercept: 5

Step-by-step explanation:

First, you want to rearrange the equation to make y on one side

2y=20-4x

Next, the y-intercept is 20.

Then to find the x-intercept, you have to make the equation equal to 0.

20-4x=0

Now, you solve for x.

20-4x=0

-4x=-20

-x=5

x=5

The x-intercept is 5.

Answer:

71

Step-by-step explanation:

The mean is the average. There are two ways to do this question shown.

1- You can calculate the mean by adding them all up and find the current mean. You can then add the numbers and then divide again-

88+100+76+92+83=439.

439/5=87.8

The current average is 87.8. Now, you can add and divide again.

439+71=510. 510/6=85.

You now have the answer. However, you might want to check again.

439+76=515

515/6=85.833....3

It is more than 85, so the answer is 71.

2- Find out how much more all the numbers are than the smallest number.

First, I'll organize it.

-76, 83, 88, 92, 100-

The smallest number is 76, so subtract 76 from each.

0, 7, 12, 16, 24 added up together is 59.

59/5=11.8

76+11.8=87.8

That also gives you that the average is 87.8.

You can then see how much or less the number is than the average and then add.

71 is five LESS than the average, so it's -5.

54/6=9.

9+76=85.

Thus, 71

The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

According to Hookes law

F = ke

where

F is the applied force = 40N

k is the spring constant

e is the extension  = 0.5

Substitute

40 = 0.5e

e = 40/0.5

e = 80cm

Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

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(For question 1 you have to do it yourself, get a ruler and measure the actual length of the drawing, then multiply it by 8 to get the actual dimensions in the exercise. )

Example, if you measure 4 inches, the actual dimension will be 4 x 8 = 32 ft

2. (Scale drawing 1:5 is that every 1 (length units) will be equal to 5(length units) in the actual dimensions)

Model : 3ft ; 7m
Actual : 15ft ; 35m (corresponding)

Actual : 20yd ; 12.5 cm
Model : 4yd ; 2.5 cm

6. 1.5 ft = 1.5 x 12 = 18 inches.
The model is 3 inches, and the actual rose is 18 inches -> The scale of the drawing is 6. (enlargement)

Same goes to the scale factor, but this time is the quotient of the corresponding side -> 3 : 18 = 1:6.

(If I got any parts wrong just tell me, I actually kinda forgot these kind of stuff)

The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.

The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,

[tex]n=\dfrac{15}{100}\times360,920\\n=54138[/tex]

The cost of one vacuum cleaner is $68. Thus the cost of 54138 vcacuum cleaner is,

[tex]C=54138\times68\\C=3681384[/tex]

Hence, the cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

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The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.

The volume of the cuboid will be:

= Length × Width × Height

= 12 × 2 × 7.5

= 180 inches³

The volume of the cylinder will be:

= πr²h

= 3.14 × 2.5² × 12

= 235.5 inches³

The surface area of the cuboid will be:

= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)

= 48 + 180 + 30

= 258 inches²

The surface area of the cylinder will be:

= 2πrh + 2πr²

= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)

= 188.4 + 39.25

= 227.65 inches²

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★TSA=2(LB+BH+LH)

#1

TSA:-

#2

TSA:-

Total:-

Answer:

220 cm^3

Step-by-step explanation:

volume = 1/2(10.5)(6)(7)

volume = 220.5 cm^3

Answer:

there are three variable terms

Answer:

168

Step-by-step explanation:

LxWxH

L=6

W=4

H=7

6x4=24

24x7=168

Answer:

63,168 square inches

Step-by-step explanation:

A=2(wl+hl+hw)

A= 2{(4*6)+(7*6)+(7*4)}

A= 188

188 square inches for each candle

188 square inches times 336 candles= 63,168 square inches in total.

Hope this helped <3 Brainliest? :)

Answer: 9(y + 3)

Step-by-step explanation: 9y/9 = y | 27/9 = 3

The total amount paid for the mortgage will be $123750 and the cost of the mortgage is $178750.

From the information, Kerri takes out a mortgage for $55,000 at 9% for 25 years. The total amount paid will be:

= ($55,000 × 9% × 25)

= $123750

The cost of the mortgage will be:

= $55000 + $123750

= $178750

The monthly payment will be:

= ($55000 + $123750) / 25 years

= $178750/(25 × 12)

= $178750/300

= $595

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Answer:

Step One

Use the vertex to determine the basic equation for the parabola.

y = a(x - 2)^2 + 7 Notice the sign change for x. I have provided a graph to show how this would look with a = 1 (in red.)

What it means is the  2 has to be minus in order that the vertex will shift 2 units in the x direction.

Step Two

Use the point to solve for a.

y = a(x - 2)^2 + 7

When x = - 1

Then y = 3

3 = a(-1 - 2)^2 + 7                combine -1 with - 2

3 = a (-3)^2 + 7

3 = 9a + 7                            Subtract 7 from both sides

3 - 7 = 9a

-4 = 9a                                 Divide by 9.

a = -4/9

or                                

a = - 0.4444

y = -0.4444(x + 2)^2 + 7 <<<<< answer

y = - 4/9 (x + 2)^2 + 7

Note: if you have choices, list them please.

Note: The red graph is y = (x - 2)^2 + 7 ; a = 1

The blue graph is y = - 4/9(x - 2)^2 + 7 ; a = - 0.44444

1 It widens the graph

jcherry99 avatar

It turns the graph upside down. The next one is the tough one.

jcherry99 avatar

It gives the parabola two real roots.

jcherry99 avatar

If you thought of others, so much the better.

Step-by-step explanation:

Answer:

y = - 4x² - 16x - 9

Step-by-step explanation:

the equaion of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (- 2, 7 ) , then

y = a(x + 2)² + 7

to find a substitute (- 1, 3 ) into the equation

3 = a(- 1 + 2)² + 7 ( subtract 7 from both sides )

- 4 = a(1)² = a

then

y = - 4 (x + 2)² + 7 ← in vertex form

   = - 4(x² + 4x + 4) + 7

   = - 4x² - 16x - 16 + 7

   = - 4x² - 16x - 9 ← in standard form

The volume of the cylinder in cubic meters is 20.886 m^3

We know that the volume is the area of the base times the height.

In this case, the diameter of the base is 18 ft, so the radius (half of that) is:

R = 18ft/2 = 9ft

Then the area of the base is:

B = 3.14*(9ft)^2 = 254.34 ft^2

And the height is 2.9 ft, then the volume is:

V = (2.9 ft)*254.34 ft^2 = 737.586 ft^3

Now, we know that:

1ft = 0.3048 m

if we cube both of these

1 ft^3 = (0.3048 m)^3 = 0.0283 m^3

Now we can change the unis of our volume:

V = 737.586 ft^3 = 737.586*0.0283 m^3 = 20.886 m^3

If you want to learn more about volumes, you can read:

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Answer:

39

Step-by-step explanation:

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set!

Hope this helps

Answer:

10 passengers in every car

One left he choose the car which he want

explanation:

MAY IT HELP U

Answer:

Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

Step-by-step explanation:

Step 1:  Determine the unit rate

Passangers per car

Passangers / car

(31 passangers) / (3 cars)

10.333 passangers / car

Answer: Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

keeping in mind that regular polygon has 12 sides

[tex]\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ans~~ \begin{cases} a=apothem\\ n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ A=214.14\\ a=8.3\\ n=12 \end{cases}\implies 214.14=\cfrac{1}{2}(8.3)(12)s \\\\\\ 214.14=49.8s\implies \cfrac{214.14}{49.8}=s\implies 4.3=s[/tex]

The value of x that makes triangle rst similar to triangle hgk is x = -2.2

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Since both triangles are similar, hence:

GH/RS = HK/ST

(x + 7) / 3 = 8/5

x = -2.2

The value of x that makes triangle rst similar to triangle hgk is x = -2.2

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Answer:

12,240 W

Step-by-step explanation:

Use a proportion.

8/8160 = 12/x

8x = 8160 × 12

x = 1020 × 12

x = 12,240

Answer: 12,240 W

The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Angle θ is in standard position.

If sin(θ) = − 1/3 , and π < θ < 3π/2

Then the angle will be

[tex]\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47[/tex]

Then add 180 degrees, then we have

[tex]\theta = -19.47 + 180\\\\\theta = 160.52[/tex]

Then the value of the cosine will be

[tex]\cos 160.52^o=-0.9428[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

-2√2/3

Step-by-step explanation:

edge 22