Making connections between arithmetic sequences and linear function


Use the graph or the formula to write the equation of the line in a slope intercept form

Answer:

The common ratio is 4

Step-by-step explanation:

How?

Multiplying or dividing is how to get the common ratio in a geometric sequence (moving from either left to right or right to left) *in this question to be precise* okay so...

Moving from right to left, and dividing, 96 ÷ 24 is 4; 24 ÷6 is 4 so the common ration is still 4.

(To find the next terms, moving from left to right, and multiplying, multiply the previous term by the common ration, so the next term after 96 is 96 × 4, which is 384, and you continue....)

You are very welcome and good luck :)

Step-by-step explanation:

Face is 5 the edges is 10 the vertices is 12

Answer:

130

Step-by-step explanation:

180-70=110

110+20=130

Answer:

6:4

This ratio means that for every 6 basketballs there are 4 soccer balls.

Probability of drawing a red ball:

Total number of balls = 2 + 18 = 20

number of red balls = 2

number of green balls = 18

total number of favourble outcomes = 2

probability = number of favourable outcomes/number of total outcomes.

= 2/20 = 1/10

Therefore probability of drawing a red ball is 1/10.

Probability of drawing a green ball:

total number of balls = 2 + 18 = 20

number of green balls = 18

number of red balls = 2

total number of favorable outcomes = 18

probability = number of favourable outcomes/number of total outcomes.

= 18/20 = 9/10

Therefore probability of drawing a green ball is 9/10.

Kekskekeke

Step-by-step explanation:njbnmmk

Answer:

It should be 7! :)

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

Answer:

In other words, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. On the other hand, the lateral surface area refers to the area of the sides of a shape , excluding its base and top area.

Step-by-step explanation:

Answer:

This doesnt give enough things to answer

Answer:

89/80

Step-by-step explanation:

cos = adjacent/hypotenuse

Answer:

80/89

Step-by-step explanation:

Answer:-14°F

Step-by-step explanation:

-2°F -12°F is basically the same as 12°F+2°F which is 14°F and then you inverse it

Answer:

a or b (probably a)

Step-by-step explanation:

Answer: Yes

Step-by-step explanation

Since the number being divided has a 0, it can be divided by 2

Answer:

( 0 , -5 )

Step-by-step explanation:

The coordinates of the focus of the parabola is at (0, -5)

The standard formula of a parabola is given as:

y² = 4ax

Given a parabola represented by the equation x² = -20y

The standard equation of the parabola facing downward is 4p(y-k)=(x-h)^2 where (h, k) is the focus.

Comparing with the given equation, the focus will be at (0, -5)

Learn more on focus of parabola here: https://brainly.com/question/4148030

Answer:   [tex]f^{-1}(\text{x}) = \frac{2-\text{x}}{3}[/tex]

Explanation:

Swap x and y, then solve for y to get the inverse.

[tex]f(\text{x}) = -3\text{x}+2\\\\\text{y} = -3\text{x}+2\\\\\text{x} = -3\text{y}+2\\\\\text{x}-2 = -3\text{y}\\\\\text{y} = \frac{\text{x}-2}{-3}\\\\\text{y} = \frac{2-\text{x}}{3}\\\\f^{-1}(\text{x}) = \frac{2-\text{x}}{3}\\\\[/tex]

Answer:

the angle oqr in degree is 40°

Answer:

3

Step-by-step explanation:

Since LM = 9 and ST = 6 and those are corresponding sides, the ratio of any side from [tex]\triangle{PLM}[/tex] and its corresponding side from [tex]\triangle{UST}[/tex] is 9 to 6 which can be expressed as the fraction 9/6 or 3/2.

LQ and SR are corresponding segments, so set up two ratios.

[tex]\frac{LQ}{SR}=\frac{3}{2}\\\\\frac{x-1}{x-2}=\frac{3}2}[/tex]

Now "cross-multiply" (using what you may have seen called the Means-Extremes Property).

[tex]2(x-1)=3(x-2)\\\\2x-2=3x-6\\\\4=x[/tex]

Now put in 4 for x in the expression for LQ.

[tex]LQ=x-1=4-1=3[/tex]

I would choose to draw a sample of 20 marbles in order to make a more accurate prediction.

In general, it is generally better to draw a larger sample if you are trying to make a prediction. This is because a larger sample will provide more information and will therefore lead to a more accurate prediction.

For example, imagine that you are trying to predict the proportion of red marbles in a bag based on the samples that you draw. If you draw a sample of 10 marbles, there is a good chance that the proportion of red marbles in your sample will be different from the true proportion of red marbles in the bag.

However, if you draw a sample of 20 marbles, the proportion of red marbles in your sample will be more likely to be closer to the true proportion of red marbles in the bag.

Learn more about sample on:

https://brainly.com/question/24466382

#SPJ1

Answer:

If you're asking how many books there are its 86.

Step-by-step explanation:

If each book is 1/2 thick that means there are 2 books per inch.

Because there are 43 inches you're going to multiply by 2.

43(2)= 86.

Hope that helped, have a good day!

Answer:

x=0 and y=36

Step-by-step explanation:

30 + 6 equals 36 but it is negative so you would add 30 to negative thirty to get to zero and go into the positive numbers. So if you add 6 more you would have positive 6. so it it 36 y is 36

9514 1404 393

Answer:

Step-by-step explanation:

The ratios all have ...

  first number : second number = 1 : 4

Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)

__

You plot these (x, y) points the same way you plot any point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.

__

Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis.

Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.

Answer:

Step-by-step explanation:

SQR-PRQ-SRP

SP/RP=RP/PQ

QP/QR=RQ/SQ

Answer:

[tex]p=48 ~units[/tex]

Step-by-step explanation:

[tex]x^2=12^2+9^2[/tex]

[tex]x^2=144+81[/tex]

[tex]x^2=2225[/tex]

[tex]x=15[/tex]

[tex]p=15+15+18[/tex]

[tex]p=48 ~units[/tex]

-----------------------

hope it helps...

have a great day!!

Answer:

p=48 units

Step-by-step explanation:

hope it helps..

100

Step-by-step explanation:

because after 105 it's 100

Answer:

skewed left

Step-by-step explanation:

The predicted winning time in year 10 of the race is 2.83 minutes.

The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.

Given:

From the scatter plot, the points are given as follows:

(1, 5.4), (2, 5), (3, 4.6), (4, 4.9), (5, 4.1), (6, 3.9), (7, 3.6), (8, 3.3).

Inserting these points into the linear regression calculator, we get

y = -0.29x + 5.67.

Now, for x= 10 year

y = -0.29(10) + 5.67 = 2.77 minutes.

which is closest to 2.83 minutes.

Learn more about linear regression here:

brainly.com/question/29613968

#SPJ1

Answer:

C. Area

hope this helped