What is the value of y?

Answer:

16

Step-by-step explanation:

Answer:

Arithmetic Sequence

[tex]T_n = 240-60n[/tex] ---- Explicit

[tex]T_n = T_{n-1} - 60[/tex] --- Recursive

Geometric Sequence

[tex]T_n = 270* (\frac{2}{3})^n[/tex] ---- Explicit

[tex]T_n = T_{n-1} * \frac{2}{3}[/tex] ---- Recursive

Step-by-step explanation:

Given

[tex]180, 120,....[/tex]

(a) Assume it is an arithmetic sequence

The explicit formula is calculated using:

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]a = 180[/tex]

[tex]d = 120 - 180[/tex]

[tex]d = -60[/tex]

So, we have:

[tex]T_n = 180 + (n - 1)*-60[/tex]

[tex]T_n = 180 -60n + 60[/tex]

Rewrite

[tex]T_n = 180 + 60-60n[/tex]

[tex]T_n = 240-60n[/tex]

The recursive function is calculated using:

[tex]T_1 = 180[/tex]

[tex]T_2 = 120 = 180 - 60 = T_1 - 60[/tex]

[tex]T_3 = 60 = 120 - 60 = T_2 -60[/tex]

-

[tex]T_n = T_{n-1} - 60[/tex]

(b) Assume it is a geometric sequence

The explicit formula is calculated using:

[tex]T_n = ar^{n-1}[/tex]

Where

[tex]a = 180[/tex]

[tex]r = \frac{120}{180}[/tex]

[tex]r = \frac{2}{3}[/tex]

So, we have:

[tex]T_n = 180 * (\frac{2}{3})^{n-1}[/tex]

Split

[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})^1[/tex]

[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})[/tex]

Rewrite as:

[tex]T_n = 180 * (\frac{2}{3})^n * (\frac{3}{2})[/tex]

[tex]T_n = 180 * (\frac{3}{2})* (\frac{2}{3})^n[/tex]

[tex]T_n = 180 * \frac{3}{2}* (\frac{2}{3})^n[/tex]

[tex]T_n = 90 * 3* (\frac{2}{3})^n[/tex]

[tex]T_n = 270* (\frac{2}{3})^n[/tex]

The recursive function is calculated using:

[tex]T_1 = 180[/tex]

[tex]T_2 = 120 = 180 * \frac{2}{3} = T_1 * \frac{2}{3}[/tex]

[tex]T_3 = 80 = 120 * \frac{2}{3} = T_2 * \frac{2}{3}[/tex]

-

[tex]T_n = T_{n-1} * \frac{2}{3}[/tex]

Answer:

Step-by-step explanation:

50.27 should be the area of a circle that has a radius of 4 in.

Answer:

[tex]Sec~ 0=\frac{\sqrt{66} }{8}[/tex]

Step-by-step explanation:

[tex]Cot~0=-4\sqrt{2}[/tex]

[tex]Sec~0=\sqrt{33}/4\sqrt{2}[/tex]

[tex]=\sqrt{33}/4\sqrt{2} *4\sqrt{2} /4\sqrt{2}[/tex]

[tex]=4\sqrt{66} /32[/tex]

[tex]= \sqrt{66}/8[/tex]

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

hope it helps...

have a great day!!!

Answer:

-5/3

Step-by-step explanation:

Any line parallel to the given line will have the same slope as the given equation;

Given the equation 15x+9y=-162

Rewrite in standard from y = mx+b

15x+9y=-162

9y = -15x - 162

y = -15/9 x - 162/9

y = -5/3 x - 18

This gives the required equation;

Since mx = -5/3 x

m = -5/3

Hence the slope of the line parallel to the given line is -5/3

Answer:

A) 4 inches

Step-by-step explanation:

The length is 80 inches and the width is 76 inches. To find the difference subtract 80 minus 76 and you get 4... the amount that is exceeding the width!

Have a wonderful day!

Answer:

A. 4 inches

Step-by-step explanation:

In order to find by how much the length exceeds the width we have to subtract width from the length in order to get the difference between the two lengths, and so we get...

80 - 76 = 4

Therefore the answer is A. 4 inches

Answer:

A i the answer

Step-by-step explanation:

Answer:

Group A has greater variability

Step-by-step explanation:

Group A: 80, 100, 190, 110, 70, 90, 130

The variability of group A data :

Taking the range :

Maximum  = 190 ; Minimum = 70

Range = Maximum - Minimum ; 190 - 70 = 120

Group B : 50, 110, 100, 120, 107, 140, 150

The variability of group B data :

Taking the range :

Maximum  = 150 ; Minimum = 50

Range = Maximum - Minimum ; 150 - 50 = 100

Hence, Group A has greater variability

Answer:

Dylan Is Correct

Step-by-step explanation:

Answer:

Dylan is correct

Step-by-step explanation:

Answer:

V=  480.7 m cubed

The volume of the cylinder nearest to tenths place is 480 m^3.

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.

For the given situation,

The formula for volume of the cylinder is [tex]V=\pi r^{2} h[/tex]

Radius of the cylinder,r = 3 m

Height of the cylinder, h = 17 m

The value of π = 3.14

On substituting the above values,

[tex]V=(3.14) (3^{2})(17)[/tex]

⇒ [tex]V=480.42[/tex] ≈ 480

Hence we can conclude that the volume of the cylinder is 480 m^3.

Learn more about volume of cylinders here

https://brainly.com/question/15891031

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Answer:

Uniform

Step-by-step explanation:

We don't have any peaks in the histogram, so its neither unimodal or bimodal leaving only uniform as the answer.

The shape of this distribution, histogram is Unimodal skewed type. The correct option is E.

A histogram represents the graphical representation of the distribution of data. The histogram is indicated by using a set of rectangles adjacent to each other where each bar represent a kind of data. The histogram doesn't involve any gaps between the two successive bars.

The histogram would be classified into different types based on the frequency distribution of the data.

Based on the direction of the tail, the skewed distribution may be either right-skewed or left skewed.

Since skewed distribution is asymmetrical as a limit which is natural resists end results on one side.

Threfore, the correct option is E.

To know more about histogram, visit;

brainly.com/question/16819077

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ahaha good one

Step-by-step explanation:

...........

Answer:

a

Step-by-step explanation:

They make a right angle. A right angle adds up to 90.

Answer:

Step-by-step explanation:

Answer:

that is the correct answer

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

62x = 2232

x = 36

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

Subtract 310 from both sides

62x = 2,232

Then Divide by 62

x = 36

Enjoy.

Answer:

x = 50

Step-by-step explanation:

Note that the 3 interior angles must sum up to 180 degrees:

50 + x + 80 =180, or

50 + x = 100, or

x  = 50

Answer:

6:45

Step-by-step explanation:

Answer: [tex]24\ ft[/tex]

Step-by-step explanation:

Given

The slant height of the square pyramid is [tex]l=25\ ft[/tex]

The length of the side of the base is [tex]a=14\ ft[/tex]

for the square pyramid, height is given by

[tex]\Rightarrow h=\sqrt{l^2-r^2}\quad \quad [\text{where r=}\frac{a}{2}]\\\Rightarrow h=\sqrt{25^2-7^2}\\\Rightarrow h=\sqrt{625-49}\\\Rightarrow h=\sqrt{576}\\\Rightarrow h=24\ ft[/tex]

Thus, the height of the prism is [tex]24\ ft[/tex]  

Answer:

add a picture so i can see and help

Step-by-step explanation:

Answer:

your questions is completing

Answer:

3.5

Step-by-step explanation:

The interquartile range is the difference between the third and first quartile

IQR = Q3 - Q1

From the dot plot given :

The data, X could be culled :

X = 43, 44, 44, 44, 45, 45, 47, 48, 48

n = 9

Q3 = 3/4(n + 1)th term

Q3 = 3/4(10) = 7.5th term = (47 + 48) / 2 = 47.5

Q1 = 1/4(n + 1)th term

Q1 = 1/4(10) = 2.5th term = (44 + 44) / 2 = 44

Q3 - Q1 = 47.5 - 44 = 3.5

Answer:

3.5

Step-by-step explanation:

smart

Answer:

sidekick egocentric Jayco

Answer:

I think it’s 11.8

Step-by-step explanation:

Answer:

Rosa is correct, it's the variable that determines if something has like terms, not the coefficients.

Step-by-step explanation:

Answer:

6km² sounds like a reasonable answer