A sequence starts 5 10 20 40 80
What is the term to term rule of the sequence?

Answer:

36.5 inches

Step-by-step explanation:

Given

See attachment for the given data

Required

Which length is closest to 4.2lb

The given data is a linear dataset.

So, we start by calculating the slope (m)

[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Pick any two corresponding points from the table

So, we have:

[tex](x_1,y_1) = (8,1.21)[/tex]

[tex](x_2,y_2) = (12,1.63)[/tex]

So:

[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m =\frac{1.63 - 1.21}{12 - 8}[/tex]

[tex]m =\frac{0.42}{4}[/tex]

[tex]m =0.105[/tex]

The linear equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 0.105 * (x - 8) + 1.21[/tex]

Open bracket

[tex]y = 0.105x - 0.84 + 1.21[/tex]

[tex]y = 0.105x + 0.37[/tex]

To get the length closest to 4.2lb,

we set [tex]y = 4.2[/tex]

Then solve for x

So, we have:

[tex]y = 0.105x + 0.37[/tex]

[tex]4.2 = 0.105x + 0.37[/tex]

Collect like terms

[tex]0.105x= 4.2 - 0.37[/tex]

[tex]0.105x= 3.83[/tex]

Solve for x

[tex]x= 3.83/0.105[/tex]

[tex]x\approx 36.5[/tex]

Answer: 1 if 1 bun is the top and bottom

Step-by-step explanation:

Need to answer questions

Answer:

The least common multiple of 8 and 6

burgers: 6, 12, 18, 24  

buns: 8, 16, 24

Step-by-step explanation:

6×8=24

12×2=24

So that is how you get the answer by seeing if they have any integers in common.

Answer:

38.47 Hope this helps. Thats how much she has left.

Answer:

Definitely not the 2nd one. I think it is the first one, the 3rd one looks more like a 45, 45, 90

Answer:

I would say it 11a+5 I'm not sure tho

Answer:

y=-3x

Step-by-step explanation:

Answer:

NOT 24/25 and NOT -4/5

Step-by-step explanation:

took the quiz

If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To find sin(2x), we can use the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

Given:

cos(x) = 3/5

sin(x) < 0

We need to determine sin(x) based on the given information.

Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:

[tex](sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25[/tex]

sin(x) = -4/5

Now we can  the values into the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

sin(2x) = 2 * (-4/5) * (3/5)

sin(2x) = (-8/5) * (3/5)

sin(2x) = -24/25

Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To know more about fraction here

https://brainly.com/question/30154928

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Answer:

Acute-Angle

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

Answer:

Find the percentage of the original or real number.

Multiply the final number by 100.

Divide the result of the multiplication by the percentage.

Have a great day

The proportion of the original or true number is then added 100 to the final figure.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose it is required to find the x percentage of y:

First step:

= x% of y

Second step:

= (x/100)y

Third step: Divide x by 100

= 0.01xy

Fourth step: Multiply the remaining term(0.01x and y).

= 0.01xy

The fifth step: Round off if required

= 0.01xy %

Calculate the proportion of the original or true number.

Add 100 to the final figure.

Subtract the percentage from the multiplication result.

Thus, the proportion of the original or true number is then added 100 to the final figure.

Learn more about the percentage here:

brainly.com/question/8011401

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Answer:

4

Step-by-step explanation:

This equation is in the form y = mx + b

In all cases, m equals the slope

So in this case, the slope would be 4.

Answer:

173.17 ft²

Step-by-step explanation:

Use the area of sector formula to help:

area of sector = x°/360 ·πr²

27.93 = 50/360·π(x)²

x= 8.00068

plug back in

360-50/360·π(8.00068)² = 173.1661 =

173.17ft²

52.151°

0.9102rad × 180/π = 52.151°

Answer:

8              Percent is: 32%

----

25

Step-by-step explanation:

Answer:

wut language is this

Step-by-step explanation:

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = 9 → (1)

x + 2y = 1 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = 1 - 2y → (3)

Substitute x = 1 - 2y into (1)

2(1 - 2y) - 3y = 9

2 - 4y - 3y = 9

- 7y + 2 = 9 ( subtract 2 from both sides )

- 7y = 7 ( divide both sides by - 7 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 1 - 2(- 1) = 1 + 2 = 3

solution is (3, - 1 )

Answer:

B // y-intercept = 4

R // y-intercept = 2

P // y-intercept = 0

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

all triangles equal a total of 180 degrees

so add 40+90

130 subtract

180-130 = 50

Answer:

i think its b

Step-by-step explanation:

Answer:

85° and 95°

Step-by-step explanation:

Given that , x and x + 10 are a pair of angles .

=> x + x + 10° = 180°

=> 2x = 180° -10°

=> 2x = 170°

=> x = 170°/2

=> x = 85° .

Answer:

3 :5

Step-by-step explanation:

A deli orders ham and turkey.

The ratio of the number of ham slices to the number of turkey slices is 2:3.

Hence:

Ham slices: Turkey slices

2:3

Sum of proportion = 2 + 3 = 5

Ratio of turkey slices = 3

Ratio of the total of ham and turkey slices = sum of proportion = 5

Therefore, the ratio of the number of turkey slices to the total of ham and turkey slices is

3:5

Answer:

The answer is 5.66

Step-by-step explanation:

let the missing side be x

9² = 7² + x²

9² - 7² = x²

x² = 9² - 7²

x² = 81 - 49

x² = 32

x = √32

x = 5.66

Answer:

the answer is 30

Step-by-step explanation:

hight x base²

Answer:

AS =282.7cm²

Step-by-step explanation:

SA = 3.14×r×L +3.14×r²

L²=5²+12²

L=13)

= 3.14×5×13 + 13.4x5²

AS=282.7cm²

ABCD is a trapezoid

Given points of the quadrilateral:

A(8,21),B(10,27),C(26,26) and D(18,2)

To show whether ABCD is a trapezoid, we find a pair of parallel sides in ABCD. If two of its sides are parallel to each other then ABCD is a trapezoid.

Step 1: With the given points, sketch a graph. The diagram is attached to this response.

Step 2: As shown in the diagram, the two sides that are likely to be parallel are AB and CD

If these two sides have same gradient/slope, then the quadrilateral is a trapezoid.

Now calculate the slopes of those sides using the slope formula;

m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Calculate the slope of AB (where x₁ = 8, y₁ = 21, x₂ = 10, y₂ = 27)

m(AB) = [tex]\frac{27-21}{10-8}[/tex]

m(AB) = [tex]\frac{6}{2}[/tex]

m(AB) = 3

Calculate the slope of CD (where x₁ = 26, y₁ = 26, x₂ = 18, y₂ = 2)

m(CD) = [tex]\frac{2-26}{18-26}[/tex]

m(CD) = [tex]\frac{-24}{-8}[/tex]

m(CD) = 3

Since the two slopes - m(AB) and m(CD) slopes are equal to 3, the quadrilateral ABCD is a trapezoid.

Answer:

X = -2 or X = 8

Explanation:

Answer:

All elements of the dataset will be whole numbers

Step-by-step explanation:

Given

[tex]Rule \to Add\ 5[/tex]

[tex]Start = n[/tex] ---- whole number

Required

A true statement about the list

If the starting point is n, then the list elements are as follows:

[tex]n , n + 5, n + 10, n + 15,....[/tex]

Also, since n is a whole number and 5 (the rule) which is added to the dataset is also a whole number;

Then the other elements of the dataset will be whole numbers