What would be the Range of this Pattern?
A. All integers greater than 4
B. All integers greater than 0
C. All real numbers greater than 6
D. All real numbers

Step-by-step explanation:

Consider two points on a curve, (xᵢ, yᵢ) and (xᵢ₊₁, yᵢ₊₁).  The distance between them can be found with distance formula:

d = √((xᵢ₊₁ − xᵢ)² + (yᵢ₊₁ − yᵢ)²)

d = √((Δx)² + (Δy)²)

Factor out Δx:

d = √(1 + (Δy/Δx)²) Δx

Adding up the distances from i=1 to i=n, the total arc length can be approximated as:

s ≈ ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx

Taking the limit as n approaches infinity, we get the exact value of s:

s = lim(n→∞) ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx

Which can be written as a definite integral:

s = ∫ₐᵇ √(1 + (dy/dx)²) dx

Ask your teacher. I think that'll be the best decision for you since I can't do anything for you as a user in brainly.

Answer:

X = 1/2f - 1

Step-by-step explanation:

X is how many painted turtles in the pond. This would be the expression that you would you use to find the actual number of turtles, but we are just leaving it at the expression.

Answer:

$4.46

Step-by-step explanation:

$60- 24.32= $35.68

So $35.68=8 bags of potatoes.

Then ÷8 to find 1 bag.

$35.68 ÷8 = $4.46

$4.46=1 BAG

Answer:T = 0.6

Step-by-step explanation:Simplifying

3t + -5 = 0

Reorder the terms:

-5 + 3t = 0

Solving

-5 + 3t = 0

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + 3t = 0 + 5

Combine like terms: -5 + 5 = 0

0 + 3t = 0 + 5

3t = 0 + 5

Combine like terms: 0 + 5 = 5

3t = 5

Divide each side by '3'.

t = 1.666666667

Simplifying

t = 1.666666667

Answer:

t = 5/3

t = 1 2/3

Step-by-step explanation:

Hi !

3t - 5 = 0

3t = 0 + 5

3t = 5

t = 5/3

t = 1 2/3

Good luck !

Answer:

6x-6

Step-by-step explanation:

5x-(6-x)

First you distribute the negative to (6-x) which makes -6+x, then you just subtract that from 5x which makes 5x-6+x then you just simplify into 6x-6.

Answer:

Step-by-step explanation:

PERCENT CHANGE

The percentage change from 1.20 to 1.80 is 50 %

Our percent calculator uses this formula:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((1.80 - 1.20) / 1.20) * 100 = 50 %

Answer:

5.150214592274678

Step-by-step explanation:

Answer:

12/21

Step-by-step explanation:

12/7 /3 = 12/7 * 1/3

12/7 * 1/3 = 12*1 / 7*3

12*1 / 7*3 = 12/21

Answer:

1/2

1/3

6

1/6

Step-by-step explanation:

When we are finding the opposite of a scale factor, the scale factor is always the reciprocal. E.g. From S to R, the scale factor is 3, so from R to S, the scale factor is 1/3 so:

1. From T to S, it's the reciprocal of the scale factor (2) so 1/2

2. From S to R, it's the reciprocal of the scale factor (3) so 1/3

3. From R to T, is the from a figure to a figure to a figure so we can multiply the two scale factors (2 and 3) to get 6

4. From T to R, that's the opposite of R to T, so it's the reciprocal of the scale factor from R to T (6) so 1/6

Answer:

uhh how am i suposed to know that u ahve o image

Step-by-step explanation:

The way to approach the problem is this

After one year she has 2000*1.05

After two years she has the money from the last year plus interest, so she has 2000*1.05*1.05

After t years she has 2000*1.05

Answer:

This is me drawing notes in the blank

Doodle* doodle* drawing noise* drawing noise* There you go ;)

Answer: What is this supposed to mean

Step-by-step explanation:

P.S follow me on ticktok nuggie_dude lol

Answer:

y=-x+3

Step-by-step explanation:

The y-intercept is at 3 and you can see it has a slope of -1

The equation of line will be y = -x + 3.

It is given that in the graph, line is passing through some points at x-axis and y-axis.

We have to find the fully simplified intercept of the line.

What is the general equation of a line ?

The equation of a line is y = mx + c , where m is the slope of the line and c is a constant.

We have the x-intercept (3,0) and y-intercept (0,3) on the graph.

Slope of these line through these points will be ;

m = (y2-y1) / (x2-x1)

m= (3-0) / (0-3)

m= 3/-3

m= -1

Also , we will get the value of c = 3 .

The equation of line after putting the value of m and c will be ,

y = -x + 3

Thus, the equation of line is y = -x + 3

To learn more , about general equation of line click here ,

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Answer:

  17.74

Step-by-step explanation:

The fraction is easily converted to one with a denominator of 100 (a power of 10):

  [tex]\dfrac{37}{50}=\dfrac{37\cdot 2}{50\cdot 2}=\dfrac{74}{100}=0.74[/tex]

Then the number of interest is ...

  17 37/50 = 17 74/100 = 17.74

Answer:

The common ratio of the geometric sequence is -4

Step-by-step explanation:

Geometric Sequence

A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:

[tex]a_n=a_{n-1}*r[/tex]

Where r is the common ratio.

We are given three terms of a geometric sequence:

18,-72,288,...

To find the common ratio, just divide each term by the previous term:

[tex]\displaystyle r=\frac{-72}{18}=-4[/tex]

Make sure it's a fixed number and test with the third term:

[tex]\displaystyle r=\frac{288}{-72}=-4[/tex]

Since both numbers coincide, the common ratio of the geometric sequence is -4

Answer:

a

 Mutually exclusive

b

Not Mutually exclusive

c

Not Mutually exclusive

d

Not Mutually exclusive

Step-by-step explanation:

From the question we are told that

The number of bolt is n = 12

The event that all the bolt are torqued correctly is A

The event that the 3rd bolt is not torqued correctly is B

The event that exactly one bolt is not torqued correctly is C

The event that the [tex]4^{th}[/tex] and [tex]8^{th}[/tex] are torqued correctly is D

Generally for an event to be mutually  exclusive it means that both event can not occur at the same time

    Considering a  

      The  A and  B are mutually exclusive because they can not occur at the same time

    Considering b  

 The  event B and D are not mutually exclusive because they can occur at the same time

    Considering c

 Event  C and  D are not mutually exclusive because they can occur at the same time

    Considering d

   Event       B and  C are not mutually exclusive because they can occur at the same time

Answer:

a

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

I=360 ........

Answer:

since [tex]17+24=41[/tex]

a) [tex]\frac{\binom{17}{12}}{\binom{42}{12}}[/tex]

b) [tex]\frac{\binom{24}{12}}{\binom{42}{12}}[/tex]

c) [tex]\frac{\binom{17}{8} \cdot \binom{24}{4}}{\binom{42}{8}\cdot\binom{36}{4}}[/tex]

d) [tex]\frac{\binom{17}{6}\cdot\binom{24}{6}}{\binom{17}{6}\cdot\binom{36}{6}}[/tex]

Just calculate these. If there is anything wrong just let me know.

Answer:

585 km

Step-by-step explanation:

rate of speed formula: distance/time

455/7=65

65*9=585

9514 1404 393

Answer:

  (a) 6 °C

  (b) -3.7 °C

  (c) the y-intercept is (0, 10); the x-intercept is (10, 0)

Step-by-step explanation:

(a) The graph tells you the wind chill is 6 °C when the wind speed is 4 m/s.

__

(b) The annotated point on the graph tells you the wind chill is -3.7 °C when the wind speed is 20 m/s.

__

(c) The intercepts are marked on the graph. The y-intercept is (0, 10); the x-intercept is (10, 0). These represent the temperature when the wind speed is 0, and the wind speed when the temperature is 0, respectively.

Answer: $14.00

Steps: To find the percentage, Multiply original amount by the percentage (convert percent to decimal form).

So, 20 × .30 = 6

She gets $6.00 off the original price.

$20.00 - $6.00 = $14.00

Plz mark brainliest:)

Answer:

74

Step-by-step explanation:

Using the Additive Inverse, it is the same as saying 57+17 = 74

please give brainliest, have a nice day

Answer:

Hi there!

Your answer is

74

Step-by-step explanation:

Two negatives equal a positive.

57 + 17=74

Hope this helps!

Answer: (2,6),(-6,7)

Step-by-step explanation:

Answer:

(1) The cost formula is: y = $19,050 + $12·x.

(2) The cost of moving materials if 340 moves are made is $23,130.

(3) 82.81% of the variability in moving cost is explained by the number of moves.

Step-by-step explanation:

The computer output for the regression analysis of 80 data points is as follows:

Intercept:  $19,050

Slope: 12

Coefficient of correlation: 0.91

Standard error:  $220

(1)

The general formula of regression equation is:

y = a + b·x

Here,

a = intercept

b = slope

The cost formula is:

y = $19,050 + $12·x

(2)

Predict the cost of moving materials if 340 moves are made as follows:

[tex]y = 19050 + 12\cdot x\\=19050+12\times 340\\=19050+4080\\=23130[/tex]

Thus, the cost of moving materials if 340 moves are made is $23,130.

(3)

The coefficient of determination R² specifies the percentage of the variance in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).

The coefficient of determination R² can be computed by squaring the correlation coefficient value.

[tex]R^{2}=(r)^{2}=(0.91)^{2}=0.8281[/tex]

Thus, 82.81% of the variability in moving cost is explained by the number of moves.