I need help on this ASAP

Answer:

£39.20

Step-by-step explanation:

→ Identify which ratio goes to each person

2 : 1 : 5

2 = Paul

1 = Colin

5 = Brian

→ Divide the total tip by the total sum of the ratio's

£78.40 ÷ ( 2 + 1 + 5 ) ⇔ £78.40 ÷ 8 = £9.80

→ Now we know one part is equal to £9.80 we multiply this number by each of the associated ratio's

Paul = £9.80 × 2 ⇔ £19.60

Colin = £9.80 × 1 ⇔ £9.80

Brian = £9.80 × 5 ⇔ £49

→ Minus Brian's tip against Colin's tip

£49 - £9.80 = £39.20

The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

Answer:

bottom left, the one that looks like a v

Step-by-step explanation:

You can test if something is a function by looking to see if there is a place where an x has 2 ys. if there are 2 ys for an x it is not a function.

Answer:

bottom left

Step-by-step explanation:

Bottom right is not a function because you would get an infinite number of results. It does not exactly map one output of this function.

The top two graphs are incorrect because they have more than 1 output. You can do the Vertical Line test and see that the top two graphs do have more that one output.

In order for it to be a function it has to have one output.

1) Unanswered (Sorry)

2) Find the cost of a four-line ad
\(x = 4 \\Therefore,\\c(4) = 30\)

3) Find the cost of a ten-line ad
\(x = 10\\Therefore,\\c(10) = 30 + 5(x - 4)\\c(10) = 30 + 5x - 5(4)\\c(10) = 30 + 5x - 20\\c(10) = 30 + 5(10) - 20\\c(10) = 30 + 50 - 20\\c(10) = 60\)

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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Answer: 393 + 491 = 708 + 176

Step-by-step explanation:

Simplify the right side and use a variable for the blank

393+x=708+176

393+x=884

Now subtract 393 on both sides

393-393+x=884-393

x=491

To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.

Answer:

your answer is 280

Step-by-step explanation:

Because you already know what X and Y are all you will have to do is plug them in

10 (10 + 2(9))

2*9= 18

10 (10 + 18)

10+18= 28

10(28)

280

Answer:

First, if we have a set of K elements, such that are ordered as:

{x₁, x₂, ...}

The total number of permutations for the K elements can be found in the next way.

For the first element in the set, we have K options.

For the second element in the set, we have (K - 1) options (because we already choose one)

For the third element we have (K - 2) options, and so on.

The total number of permutation is equal to the product between the numbers of options for each position's element, then the number of permutations for K elements is:

permutations = K*(K - 1)*(K - 2)*....*2*1 = K!

Now suppose that we have a set of N elements, and we want to make groups of K elements.

The total number of different combinations of K elements is given by the equation:

\(C(N, K) = \frac{N!}{(N - K)!*K!}\)

In this case we have 15 objects (then  N = 15) and we take 7 at the time (Then K = 7)

Where we need to take in account the number of combinations and also the permutations for each combination.

Then the total number of different sets is:

C(15*7)*7!

First, the total number of combinations will be:

\(C(15,7) = \frac{15!}{(15 - 7)!7!} = \frac{15!}{8!*7!} = \frac{15*14*13*12*11*10*9}{7*6*5*4*3*2*1} = 6,435\)

So we have 6,436 combinations, and each one of these combinations has 7! permutations.

permutations = 7! = 7*6*5*4*3*2*1 = 5,040

if we combine these we get:

Combinations*Permutations = 6,435*5,040 = 32,432,400

Answer:

7

Step-by-step explanation:

Answer: 17th percentile

Step-by-step explanation: i say this because it falls before the 50 percentile

The fraction 69 3/4% is a mixed fraction

69 3/4% to a fraction in lowest term is 27603/400

The fraction is given as:

69 3/4%

Rewrite the fraction as:

69 + 3/400

Add the fractions

(400 * 69 + 3)/400

Evaluate the sum

27603/400

The above fraction cannot be further reduced.

Hence, 69 3/4% to a fraction in lowest term is 27603/400

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Answer:

A square pyramid has 5 faces: 1 square base and 4 triangular faces.

The area of the base is:

A = s^2

where s is the length of the base edge.

In this case, s = 1 m, so:

A = 1^2 = 1 m^2

The area of each triangular face is:

A = 1/2 * b * h

where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).

In this case, b = 1 m and h = 1 m, so:

A = 1/2 * 1 * 1 = 0.5 m^2

The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:

SA = A_base + 4 * A_triangles

SA = 1 + 4(0.5)

SA = 1 + 2

SA = 3 m^2

Therefore, the surface area of the pyramid is 3 square meters.

The step that Inga could use to solve the quadratic equation is;

2(x² + 6x + 9) = 18 + 3.

The solution to the quadratic equation is calculated as follows;

2x² + 12x - 3 = 0

Add 3 to both sides to get;

2x² + 12x = 3

Divide through by 2 which is the coefficient of x² to get;

x² + 6x = ³/₂

Square half of the coefficient of x, and then add it both sides of the equation to get;

(x + 3)² = ³/₂ + 3²

x² + 6x + 9 = 9 + ³/₂

2(x² + 6x + 9) = 18 + 3

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Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

half of 12,height,multiplied by 5,base,since it is a right angled triangle

a. The relation is an equivalence relation, and its corresponding partition has blocks {1, 4}, {2}, and {3}.

b. The relation is not specified.

c. The relation is not an equivalence relation because it is not transitive.

d. The relation is not an equivalence relation because it is not reflexive.

a. The relation is an equivalence relation because it is reflexive, symmetric, and transitive. The blocks of its corresponding partition are {1, 4} and {2} and {3}.

b. The relation is not specified, so it is impossible to determine whether it is an equivalence relation or not.

c. The relation is not an equivalence relation because it is not transitive. Specifically, (3, 1) and (1, 3) are in the relation, but (3, 3) is not.

d. The relation is not an equivalence relation because it is not reflexive (i.e., 1 and 4 are not related to themselves).

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a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

The vector

V

=

(

4

,

-

3

)

is at an angle of

−

36.67

°

to the positive

x

-axis.

Explanation:

I'll presume you're looking for the angle which the vector makes with the

x

-axis.

We use our old friend

tan

for this.

tan

θ

=

y

x

⇒

θ

=

tan

−

1

(

y

x

)

⇒

θ

=

tan

−

1

(

−

3

4

)

=

tan

−

1

(

−

0.75

)

⇒

θ

=

−

0.64

⇒

θ

≈

−

36.67

°

Because

tan

−

1

can only return angles between -90° and +90° (that is, in

Q

IV

or

Q

I

), we then check which quadrant the point

(

4

,

-

3

)

is in, to confirm whether we can keep this answer or if we need to add 180°.

(

4

,

-

3

)

is in quadrant 4, and so the value given by

tan

−

1

is fine as it is.

The vector

V

=

(

4

,

-

3

)

is at an angle of

−

36.67

°

to the positive

x

-axis.

Answer:

3

Step-by-step explanation:

3 + 11 ⋅ ( 8 − 4 ) ÷ ( 5 + 6 ) − 4

 Subtract  4  from  8 .

3 + 11 ⋅ 4 ÷ ( 5 + 6 ) − 4

Multiply  11  by  4 .

3 + 44 ÷ ( 5 + 6 ) − 4

Find the common denominator.  

Add  5  and  6 .

3 + 44 ÷ 11 − 4

Write  3  as a fraction with denominator  1 .

3/ 1 + 44 ÷ 11 − 4

Multiply  3/ 1  by  11/ 11 .

3/ 1 ⋅ 11 /11 + 44 ÷ 11 − 4

Multiply  3/ 1  and  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 − 4

Write  − 4  as a fraction with denominator  1 .

3 ⋅ 11 /11 + 44 ÷ 11 +  − 4 /1

Multiply  − 4 /1  by  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 + − 4 /1  ⋅ 11 /11

Multiply  

− 4 /1  and  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 +   − 4 ⋅ 11 /11

Combine the numerators over the common denominator.

3 ⋅ 11 + 44 − 4 ⋅ 11 /11

Simplify each term.  

Multiply  3  by  11 .

33 + 44 − 44 ⋅ 11/ 11

Multiply  − 4  by  11 .

33 + 44 − 44 /11

Simplify the expression.  

Add  33  and  44 .

77 − 44/ 11

Subtract  44  from  77 .

33 /11

Divide  33 by  11 .

3

Answer:

3

Step-by-step explanation:

See image below:)

Answer: The answer is C (or the third option)

Step-by-step explanation: The formula for finding the measure of interior hexagon angles is ( n − 2) × 180 °. This means that C is the correct answer

There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

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The simplified algebraic expression is given as follows:

\(5\frac{(-1 + \sqrt{3})}{3}\)

The algebraic expression in the context of this problem is defined as follows:

\(\frac{-5 + 5\sqrt{3}}{3}\)

To simplify, we must obtain the common factor of the numerator, which is of 5, as both terms are divisible by 5, as follows:

Hence the simplified algebraic expression is given as follows:

\(5\frac{(-1 + \sqrt{3})}{3}\)

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Volume of the cylinder is 15197.60(to the nearest hundredth).

In mathematics, Cylinder is  the basic 3d shapes,  which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.

Given that the radius of the cylinder  is 11yd.

and the height of the cylinder is 40yd.

Formula for the volume of cylinder  is π × r² × h where π=3.14, r= radius and h= height.

Putting the values we get,

Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.

                                          = 15197.6

Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).

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The length of each part of the stick cut by Migual is obtained as 2/12 yd.

Miguel has a 2/3 yd long stick.

He cuts it into 4 equal pieces.

So, the length of each part is obtained as:

Each part length = total length / number of pieces.

Each part length = 2/3 / 4

Each part length = 2/(3*4)

Each part length = 2/12 yd.

Thus, the length of each part of the stick cut by Migual is obtained as 2/12 yd.

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The correct question is attached.

A: Find the length of each part.

The equation that represents the relationship between the distances each girl has run is: Marcia = -3/4 * k + 6.5

Let x be the distance run by Tamara in kilometers.

Since Tamara has completed 3/4 of the race, then x = 3/4 * k.

Since Tamara is 2.5 kilometers ahead of Marcia, then x - 2.5 = 4 - Marcia.

Substituting the first equation into the second equation, we get:

3/4 * k - 2.5 = 4 - Marcia

Multiplying both sides by -1, we get:

Marcia - 4 = -3/4 * k + 2.5

Adding 4 to both sides, we get:

Marcia = -3/4 * k + 6.5

Therefore, the equation that represents the relationship between the distances each girl has run is:

Marcia = -3/4 * k + 6.5

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Answer:

Step-by-step explanation:

Step-by-step explanation:

To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5

A reduction or drop is usually represented by a negative sign alongside the quantity of the drop.

In this case, the quantity of the drop is 21.

Hence, the integer used to represent the situation is:

\( \huge \sf \pink{Answer}\)

D. Y=4

\( \huge \sf \pink{Reason}\)

Because it is situated on the upper axis,which we called Y-axis.If we count the sequence then the line was on number. 4.

\( \huge \sf \pink{Verification}\)

For verification we mark a point on that line and count the sequence.We will find that it is on 4.