For part a), sketch the figures on your own paper. Then, answer part b) below.
8
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a. On your paper, sketch Figures 4 and 5.
b. How does the pattern grow? Explain how you know.
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Figure 3

Answer:

yes it can be bc it is repeating

Mel should make 12 bracelets.

Here, we are given that Mel makes arm bracelets.

She is making a bracelet for each arm of her 6 friends.

We know that a humans by default have 2 arms each.

We will assume that all of her 6 friends have 2 arms each.

Thus, 6 of her friends will get 2 bracelets each, one for each arm.

This means that the total number of bracelets Mel should make will be given by-

2 + 2 + 2 + 2 + 2 + 2

or we can also write this as

2 × 6

6 times 2 is equal to 12.

Thus, Mel should make 12 bracelets.

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Answer:

12 1/2

1/6

Step-by-step explanation:

5/6 x 15/1

2/3 x 1/4

Answer:

Shorter piece: 5    Longer piece: 11

Step-by-step explanation:

(2x+1)+(x)=16

3x+1=16

3x=15

x=5

Stefan take 17 hours and Jaidee 18hours ,time taken by both of them if they work together is equal to 8.74 hours.

As given,

Time taken by Stefan 17 hours

work in 1 hour = 1/ 17

Time taken by Jaidee = 18 hours

work in 1 hour = 1/18

If worked together:

Work complete in 1 hour = (1/17) + (1/18)

                                       = 35 / (17)(18)

Time taken to complete 1 work= (17)(18) /35

                                                = 8.74 hours

Therefore, ,time taken by both of them if they work together is equal to 8.74 hours.

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Answer:

No because their ratios are different and not equivalent

Answer:

79°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral (4 sided figure) IS 360.

Take 360 - (101 + 121 + 59)

360 - 281 = 79

By taking the measure of the given line segment and making arc on one of the end points from one point of the line segment and joining those three points will be the line as twice as the given segment.

Following are the steps to construct a line segment that is twice the given segment :

Step 1 : Take the compass and measure the length of the given line segment let’s say AB

Step 2 : Now with that measure put one end of the compass on one of the points of a line segment, either point A or point B.

Step 3 : Now mark an arc on the right side of the point if the compass is on point B or mark the arc on the left side if the compass is on point A.

Step 4 : Mark that arc as point C and join the line AC or BC.

Hence AC or BC will be the new line segment which will as twice as the given line segment.

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The real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2

2x² + 3 = 4x

2x² + 3 - 4x = 0

2x² - 4x + 3 = 0

∆ = (-4)² - (4 × 2 × 3)

= 16 - 24

∆ = 8

√∆ = √8

= 2√2

x1 = -(-4) - 2√2 / (2 × 2)

or

x2 = -(-4) + 2√2 / (2 × 2)

x1 = 4 - 2√2 / 4

or

x2 = 4 + 2√2 / 4

x1 = (2 - √2) / 2

or

x2 = (2 + √2) / 2

Therefore, the real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2

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Answer:

-12

Step-by-step explanation:

Distribute

20y+20-y=16y-16

Combine like terms

19y+20=16y-16

subtract 16y from 19y and subtract 20 from -16

3y=-36

Divide by 3

y=-12

Madelyn reads at the rate of 33.75 pages per hour.

Here rate is defined as the number of pages read per hour. Rate or unit rate is defined as the quantity that is done in 1 unit of time(second, minute or hour). Distance per time is called speed. Velocity per time is called acceleration.

Here it is given Madelyn reads 45 pages in [tex]1\frac{1}{3}[/tex] hours.

Now to find the unit rate we have to divide the number of pages read in the total time taken to read 45 pages.

Unit rate= [tex]45\div 1\frac{1}{3}[/tex]

[tex]=45\div \frac{4}{3}\\=\frac{135}{4} \\=33.75[/tex]

Madelyn reads at the rate of 33.75 pages in 1 hour .

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Answer:

mode

Step-by-step explanation:

The mode of the set is 7, as 7 is the number that occurs the most frequently.

1 2/5 and 2 2/5 are  two mixed numbers added together equals 3 4/5.

What is a mixed fraction?

What is a mixed number improper fraction?

A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1.

= 1 2/5 + 2 2/5

= 7/5 + 12/5

= 19/5

= 3 4/5

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From the question, the first table is not a function while the other two tables are functions.

A function is a correspondence or mapping from a first set of numbers, called the domain of the function, to a second set of numbers, called the range of the function, such that for each member of the domain there is exactly one member of the range.

A function is said to be one-to-one if every y value has exactly one x value mapped onto it, and many-to-one if there are y values that have more than one x value mapped onto them. This graph shows a many-to-one function.

4) We see that all the y-values are the same or equal. Thus, we can say that it is not a function because it doesn't match the definition above.

5) Yes the table describes a function because all input values produces a unique output y-value.

6) Yes, the table represents a function because all input values produces a unique output y-value.

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The solution to the equation is x = -5

The equation is given as:

the quantity 2x minus 20 divided by 3 = 2x

Rewrite properly as

(2x - 20)/3 = 2x

Multiply through by 3

2x - 20 = 6x

Collect like terms

6x - 2x = -20

This gives

4x = -20

Divide by 4

x = -5

Hence, the solution to the equation is x = -5

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Answer:

other dude is correct cuh

Step-by-step explanation:

The equation of the line from the given points marked on the graph is:

3. 3x+y+5=0

4. 3x+y+3=0

Given,

3.The points are:

(-1,-2) and (1,-8)

let the points be :

(-1,-2) = (x₁,y₁)

and (1,-8) = (x₂,y₂)

The equation of the line passing through the points (-1,-2) and (1,-8)

x - x₁/x₂-x₁ = y - y₁/y₂-y₁

For the given points, the equation is:

x-(-1)/1-(-1) = y-(-2)/-8-(-2)

x+1/2 = y+2/-6

-6(x+1) = 2(y+2)

-6x-6=2y+4

-6x-2y-6-4=0

-6x-2y-10=0

-2(3x+y+5)=0

3x+y+5=0 is the equation of the line.

4.The points are:

(-3,6) and (3,0)

let the points be :

(-3,6) = (x₁,y₁)

and (3,0) = (x₂,y₂)

The equation of the line passing through the points (-1,-2) and (1,-8)

x - x₁/x₂-x₁ = y - y₁/y₂-y₁

For the given points, the equation is:

x-(-3)/3-(-3) = y-6/0-6

x+3/6 = y-6/-6

-6(x+3) = 2(y-6)

-6x-18=2y-12

-6x-2y-18+12=0

-6x-2y-6=0

-2(3x+y+3)=0

3x+y+3=0 is the equation of the line

Hence we get the required equations of the line.

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Answer:

[tex]=\frac{9}{50}[/tex]

Step-by-step explanation:

[tex]\frac{9}{10}\div \frac{5}{1}[/tex]
[tex]\frac{9}{10}\times \frac{1}{5}[/tex]
[tex]\frac{9\times \:1}{10\times \:5}[/tex]
[tex]=\frac{9}{50}[/tex]

We need to remove either (1, 4) or (1, 1) to create a function.

Relations are formed by two sets, an input set known as domain and an output set known as range and relationships between these sets. A relation is a function if and only if each element from domain is related to only one element of the range. Mathematically speaking, we must satisfy the following proposition:

x → f(x), x → f'(x) ⇒ f(x) = f'(x)

Based on this definition, there are two possibilities to create a function:

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1,3 is the answer I believe. :)

Answer:

A. because all of the numerators are larger than the denominators, there will be a product left over.

Step-by-step explanation:

We need to use the concept of proprotionality for the given question.The value of y is 25.7, value of R is 1 and value of t is 144.

It is given that y varies directly as the square root of x which means that y is directly proportional to x, we can write it as

y∝[tex]\sqrt{x}[/tex] which can again be written as y=[tex]\sqrt{x} k[/tex] where k is a proportionality constant,we need to find the value of k inorder to find the value of y.We know that y=12 when x=49

12=[tex]\sqrt{49} k[/tex]=7k⇒12=7k⇒k=[tex]\frac{12}{7}[/tex]

when x=225 then y=[tex]\sqrt{225}[/tex]×[tex]\frac{12}{7}[/tex]=15×[tex]\frac{12}{7}[/tex]=25.7

R is inversely proportional to the cube of S,we can write it as

R∝[tex]\frac{1}{S^{3} }[/tex] ⇒R=[tex]\frac{k}{S^{3} }[/tex]

We need to find the value of k inorder to find the value of R, it is given that R=8 when S=3

8=[tex]\frac{k}{27}[/tex]

k=27x8=216

Value of R when S=6 will be

R=[tex]\frac{216}{6^{3} } =\frac{216}{216} =1[/tex]

It is given that n varies directly as the square root of t and inversely as l,we can write it as

n∝[tex]\frac{\sqrt{t} }{l}[/tex] which can be again written as n=[tex]\frac{\sqrt{t} }{l} k[/tex] where k is a proportionality constant,we need to find the value of k first to find the value of t

We know that n=5 when t=16 and l=2

5=[tex]\frac{\sqrt{16} }{2}k=\frac{4}{2} k=2k[/tex]

k=[tex]\frac{5}{2}[/tex]

We know that n=10,l=3 and k=[tex]\frac{5}{2}[/tex] substituting these values we can get the value of t

t=[tex](\frac{nl}{k} )^{2}[/tex]=[tex](\frac{10.3.2}{5} )^{2} =12^{2} =144[/tex]

Thus we can see that using the concept of proportionality we found out the values of y,R and t. Value of y is 25.7, R is 1 and t is 144.

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +0}{2}~~~ ,~~~ \cfrac{ y +6}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE B}}{(5~~,~~-8)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x+0}{2}=5\implies \boxed{x=10} \\\\\\ \cfrac{y+6}{2}=-8\implies y+6=-16\implies \boxed{y=-22}[/tex]

Answer:

Step-by-step explanation:

the given graph is montonous so no decreasing or increasing

please mark me

Answer:

the graph decreases from -infinity to -3 and 3 to positive infinity and increase from -3 to +3

Step-by-step explanation:

The value of x from the given linear function is 15

A linear function is a function hat has a leading degree of 1

Given the equation below;

2/5x +9 =15

Subtract 9 from both sides

2/5x + 9 - 9 = 15 - 9

2/5x = 15 -  9

2/5x = 6

Multiply both sides by 5

2/5x (5) = 6(5)

2x = 30

x = 15

Hence the value of x from the given linear function is 15

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Answer:

35x ≤ 1000

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The cost of 420 grams of cherries is £1.47.

Cherries cost £3.50 per 1000 grams.

Therefore, the cost of 420 grams of cherries can be calculated as follows:

1000 grams of cherries  = £3.50

420 grams of cherries = ?

cross multiply

cost of 420 grams of cherries = 3.50 × 420 / 1000

cost of 420 grams of cherries =  1470 / 1000

cost of 420 grams of cherries = 147 / 100

cost of 420 grams of cherries = £1.47

Therefore, the cost of 420 grams of cherries is £1.47.

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Answer:

Step-by-step explanation:

Cost of 420g cherries

147 ÷ 100

=1.47

therefore the cost of 420 of cherries

= £1.4