select the scenario that correctly represents the given graph (A the number of views on a video

The answer of the given question based on the graph coordinate is , the rule for the values in the table is: Y = 7X - 0.

In mathematics, a coordinate is a set of values that specifies the position of a point in space. Coordinates are used to locate points, lines, and other geometric objects in a plane, a three-dimensional space, or even higher dimensions.

X    Y

5    35

1     7

4    28

2    14

One possible way to do this is to calculate the differences between successive pairs of X and Y values, and then see if there is a constant difference or ratio between them.

Taking the first two rows as an example, we have:

X Y

5 35

1 7

The difference between the X values is 5 - 1 = 4, and the difference between the Y values is 35 - 7 = 28. Dividing the difference in Y by the difference in X gives us:

(35 - 7) / (5 - 1) = 28 / 4 = 7

This means that for every increase of 1 in X, the corresponding increase in Y is 7. We can check this for the other pairs of values in the table and see that it holds true:

X Y

5 35

4 28 (decrease of 1 in X, decrease of 7 in Y)

2 14 (decrease of 2 in X, decrease of 14 in Y)

So the rule for the values in the table is:

Y = 7X - 0.

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Answer:

You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear.

Step-by-step explanation:

Hope this helped~

Answer:

You can tell if a table is linear by looking at how X and Y change.If,as X increases by 1, Y increases by a constant rate,then a table is linear.

Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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3 years: 1,591.81 or 1,592

4 years: 1,623.65 or 1,624

Postulate is an assumption, presumed to be true, that is used as the basis for a logical argument.

We have,

A postulate is a statement or proposition that is accepted as true without proof.

It is an assumption or starting point in a logical argument that is considered to be self-evident or evident based on previous experience or observation.

In mathematics,

Postulates are used to define the basic concepts and axioms that form the foundation of a particular system of thought.

They are often used as the starting point for deriving other mathematical concepts and theorems.

Postulates are also known as axioms or assumptions.

Thus,

Postulate is an assumption, presumed to be true, that is used as the basis for a logical argument.

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Answer:

1 and 4 has same pairs of solution.

Step-by-step explanation:

Solutions for the given equations are:

\begin{gathered}1. (x+6)(x - 6) = 0\\(x+6) = 0, (x-6) = 0\\x = -6, x = 6\\\\2. (x + 6)(x + 6) = 0\\(x+6) = 0, (x+6) = 0\\x = -6, x = -6\\\\3. (x - 6)(x - 6) = 0\\(x-6) = 0, (x-6) = 0\\x = 6, x = 6\\\\4. (2x + 12)(2x - 12) = 0\\(2x+12) = 0, (2x-12) = 0\\x = -6, x = 6\\\\5. (2x - 12)(x - 12) = 0\\(2x-12) = 0, (x-12) = 0\\x = 6, x = 12\\\\6. (x+12)(x - 12) = 0\\(x+12) = 0, (x-12) = 0\\x = -12, x = 12\\\\7. (x +12)(x-6) = 0\\(x+12) = 0, (x-6) = 0\\x = -12, x = 6\end{gathered}

1.(x+6)(x−6)=0

(x+6)=0,(x−6)=0

x=−6,x=6

2.(x+6)(x+6)=0

(x+6)=0,(x+6)=0

x=−6,x=−6

3.(x−6)(x−6)=0

(x−6)=0,(x−6)=0

x=6,x=6

4.(2x+12)(2x−12)=0

(2x+12)=0,(2x−12)=0

x=−6,x=6

5.(2x−12)(x−12)=0

(2x−12)=0,(x−12)=0

x=6,x=12

6.(x+12)(x−12)=0

(x+12)=0,(x−12)=0

x=−12,x=12

7.(x+12)(x−6)=0

(x+12)=0,(x−6)=0

x=−12,x=6

(x+6)(x - 6) = 0 and (2x + 12)(2x - 12) = 0 have same pair of solutions.

Step-by-step explanation:

there you go :)

Answer:

Step-by-step explanation:

70(10/100)=7 broken cookies.

7/70=1/10 is the fraction broken

(70-7)/70=63/70 is the fraction remaining whole

Answer:

(a) 1/7 are broken

(b) 6/7 remain whole

Step-by-step explanation:

70 is a nice number to deal with in terms of percentages and fractions. If 10% of the cookies are broken, do 10/70. That fraction simplified gets you 1/7. To find the remaining whole cookies. Do 7/7 - 1/7 = 6/7 (or if you already know that in your head that works too)

Answer:

vat=15%

selling price with vat=$1380

selling price with out vat=?

we have

selling price with vat=$1380

selling price with out vat+vat%of selling price with out vat =$1380

selling price with out vat(1+15/100)=$1380

selling price with out vat=$1380/1.15=$1200

To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:

A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)

To find the limit, we divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)

Therefore, the limit of the sequence A is 5.

B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)

Again, divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)

So, the limit of sequence B is -7.

C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)

Divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)

As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)

Therefore, the limit of sequence C is 4.

To summarize:

A. The limit of sequence A is 5.

B. The limit of sequence B is -7.

C. The limit of sequence C is 4.

If the radius is 3 cm, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm. The correct option is B.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

We are given that the volume of the cylinder is 637 cm³ and the radius is 3 cm. Substituting these values into the formula, we get:

637 = π(3²)h

Simplifying:

637 = 9πh

h = 637 / (9π)

h ≈ 7.06

Thus, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm.

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Answer:

not equivalent

Step-by-step explanation:

i believe this should be right

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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well, we know the diameter endpoints, so hmmm the center of the circle will be half-way of the diameter, or namely its midpoint and its radius is half the length of the diameter, let's get both.

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 5 -4}{2}~~~ ,~~~ \cfrac{ 3 +4}{2} \right) \implies \stackrel{ center }{\left(\cfrac{ 1 }{2}~~~ ,~~~ \cfrac{ 7 }{2} \right)} \\\\[-0.35em] ~\dotfill\)

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~5 - (-4)~~)^2 + (~~3 - 4~~)^2}\implies d=\sqrt{(5 +4)^2 + (3 -4)^2} \\\\\\ d=\sqrt{ (9)^2 + (-1)^2} \implies d=\sqrt{ 81 + 1}\implies d=\sqrt{ 82 }~\hfill~\stackrel{radius}{\cfrac{\sqrt{82}}{2}} \\\\[-0.35em] ~\dotfill\)

\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{h}{\frac{1}{2}}~~,~~\underset{k}{\frac{7}{2}})} \qquad \stackrel{radius}{\underset{r}{\frac{\sqrt{82}}{2}}} \\\\[-0.35em] ~\dotfill\\\\ ( x - \frac{1}{2} )^2 ~ + ~ ( y-\frac{7}{2} )^2~~ = ~~\left( \frac{\sqrt{82}}{2} \right)^2 \implies ( ~ x - \frac{1}{2} ~ )^2 ~~ + ~~ ( ~ y-\frac{7}{2} ~ )^2 = \frac{41}{2}\)

Answer:

I don't know answer what is

Answer:

\(x = \frac{39}{2}\)

\(y = -\frac{29}{2}\)

Step-by-step explanation:

Given

\(x + y= 5\) --- (1)

\(7x + 9y = 6\) ---- (2)

Required

Find x and y

Make x the subject in (1)

\(x + y= 5\)

\(x = 5 - y\)

Substitute 5- y for x in (2)

\(7x + 9y = 6\)

\(7(5 - y) + 9y = 6\)

Open bracket

\(35 -7 y + 9y = 6\)

Collect like terms

\(-7y + 9y = 6 - 35\)

\(2y = -29\)

Divide both sides by 2

\(y = -\frac{29}{2}\)

Substitute this for y in \(x = 5 - y\)

\(x = 5 - (-\frac{29}{2})\)

\(x = 5 +\frac{29}{2}\)

L.C.M

\(x =\frac{10+29}{2}\)

\(x = \frac{39}{2}\)

Answer:

8 years old.

(3x+9)

(3(8)+9)=33

Answer:йкчцшЮДБж

Step-by-step explanation:

ъпыьюятухцйлшщ

Answer:

Step-by-step explanation:

75/4 = 18.75mm

Answer:

(3, 1)

Step-by-step explanation:

Plug-in points and see which one works. (x, y). <=  means less than or equal to.

Answer:

D. (3,1) is the correct answer

Step-by-step explanation: Just graph this question on a graph, and you will find that (3,1) is in the shaded region, which means it is part of the solution

Answer:

\(21 + x\) packs

Step-by-step explanation:

Given

\(Washable \to 21\)

\(Non \to x\)

Required

The total packs bought

This is calculated as:

\(Total = Washable + Non\)

\(Total = 21 +x\)

Answer:

\( - (x + 5)(x - 8)\)

Answer: w = 110°     x = 83°     y = 87°      z = 97°

Step-by-step explanation:

∠(x - 13) and ∠w form a linear pair so their sum is equal to 180°

x - 13 + w = 180        →     w = -x + 193

∠(x + 10) and ∠y form a linear pair so their sum is equal to 180°

x + 10 + y = 180        →    y = -x + 170

∠x  and ∠z form a linear pair so their sum is equal to 180°

x + z = 180             →    z = 180 - x

∠x and ∠y and ∠w are the angles of a triangle so their sum equals 180°

x + y + w = 180

x + (-x + 170) + (-x + 193) = 180                   Substitution

                       -x + 263 = 180                    Add Like Terms

                       -x            = -83                    Subtracted 263 from both sides

                                  x = 83                      Divided both sides by -1

w = -x + 193                     y = -x + 170                     z = 180 - x

w = -83 + 193                  y = -83 + 170                   z = 180 - 83

w = 110                           y = 87                             z = 97

Answer:

z= 120, ∠x= 60°, ∠y= 50°, ∠w= 70°

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

2x+2=58

2x=58-2=56

divide both sides by 2

x=28

Answer:

36 feet

Step-by-step explanation:

One yard is 3 feet.

12 yards * 3 feet = 36 feet

Answer:

36

Step-by-step explanation:

1 yard=3 feet so

12 yards = 3x12 feet

12 yards = 36 feet

Hope this helps! :)

The lateral area and the surface area of the right prism are 540 square yards and 1152 square yards, respectively.

Herein we find the case of a right prism with a triangular base, whose lateral area (A) and surface area (A'), both in square yards, must be determined.

The lateral area is the sum of the areas of three rectangular faces and the surface area is the sum of the lateral area and the area of the two triangles. Area formulas for rectangles and triangles are shown below:

Rectangle

A = w · l

Triangle

A = 0.5 · w · l

Where:

Now we determine the lateral area and the surface area of the prism:

Lateral area

A = (37 yd) · (5 yd) + (20 yd) · (5 yd) + (51 yd) · (5 yd)

A = 540 yd²

Surface area

A' = 540 yd² + 2 · 0.5 · (51 yd) · (12 yd)

A' = 1152 yd²

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the first distribution is symmetric and has a bell shape. And the second one is skewed to the right

23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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