5, 32, 229, 1016, 3133, 7780, 16,757 whats the next term

Answer: [tex]\frac{4\sqrt{3} }{3} +\frac{1}{2}[/tex]

Step-by-step explanation:

You can either do this manually or use your calculator. Using your calculator, make sure that your calculator is in degree mode, then enter tan(30) + (1/tan(30)) + sin(60).  [1/tan(30) is equal to cot(30) because tangent and cotangent are inverse functions].

Manually, use the unit circle. Tangent is sine over cosine. Sine of 30 degrees is 1/2. Cosine of 30 degrees is [tex]\sqrt{3} /2[/tex]. 1/2 divided by [tex]\sqrt{3}/2[/tex] is [tex]\sqrt{3}/3[/tex]. Cotangent is 1/tangent so take 1/[tex]\sqrt{3}/3[/tex] which is [tex]\sqrt{3}[/tex]. Then we already said that sine of 30 degrees is 1/2, so add them all together.

[tex]\sqrt{3}/3+\sqrt{3}+\frac{1}{2}[/tex] which is equal to [tex]\frac{4\sqrt{3} }{3} +\frac{1}{2}[/tex] or approximately 2.8094.

Answer:

$35 for 12 slices

Monthly cost for x slices of pizza = 20 + 1.25x

Step-by-step explanation:

Monthly Membership cost = $20
Discounted cost per slice of pizza = $1.25
Discounted total cost for 12 slices = $1.25 x 12 = $15

Total cost = 20 + 15 = $35 this momth

For x slices of pizza, monthly cost = 20 + 1.25x

Answer: 5/4

Step-by-step explanation: You go up five from point (-6,0) and across for to point (-2,4)

The graph of the equation is shown below

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

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Answer:

14 units,

Step-by-step explanation:

Just count down the graph

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

Answer:

the answer would be 14 units

Step-by-step explanation:

you can count down between the distance with the first point and the second point

Answer:

[tex]2x^2 -5x - 7 =0[/tex]

Step-by-step explanation:

We have the equation
[tex]x + 9 = 2(x-1)^2[/tex]

[tex](x-1)^2 = x^2-2x+1[/tex]   using the formula [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]

[tex]x + 9 = 2(x^2-2x\cdot \:1+1^2)[/tex] =  [tex]2x^2-4x+2[/tex]

Switch sides

[tex]2x^2-4x+2=x+9[/tex]

Subtract 9 from both sides
[tex]2x^2-4x+2 - 9=x+9-9[/tex]

[tex]2x^2 -4x -7 = x[/tex]

Subtract x on both sides
[tex]2x^2 - 4x -7 -x = 0[/tex]

[tex]2x^2 - 4x - x -7 = 0[/tex]

[tex]2x^2 -5x - 7 =0[/tex]

where

[tex]a = 2, b = -5, c = -7[/tex]

Answer: I hope this helps.

Step-by-step explanation:

Answer:

7120.94 cubic feet

Step-by-step explanation:

volume of a cone =

pi times radius squared times (height ÷ 3)

pi times 20 squared times (17 ÷ 3)

the coordinate of X is at 8 units of P and at 4 units to the left of Q

So the coordinate of X is: -5 + 8 = 3

We know that point X is between points P and Q, in such a way that the ratio between the lengths of the segments PX and XQ is 2:1

First, we can length of the segment PQ is equal to the difference between their coordinates, so we get:

L = 7 - (-5) = 12

Then the length of segment PQ is 12 units, if we divide that in 3 we will get:

12/3 = 4 units.

So the segment PQ can be divided into 3 segments of 4 units each.

If the ratio PX to XQ is 2:1

Then the segment PQ must be divided into 3 parts, such that PX takes two of these parts and XQ is the remaining one.

Then the coordinate of X is at 8 units of P and at 4 units to the left of Q

So the coordinate of X is: -5 + 8 = 3

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The values of f(0) that can be read from (a similar question in part (a) and (c)) the table, functions, and graph in the question are;

(a) f(0) = 1

(b) f(0) = 12

(c) f(0) = -2

Part of the question appears missing. From a similar question online, we have;

(a) A table of values;

x: -1, 0, 1, 2, 3

y: 7, 1, 6, -3, -4

Taking the function, f(x) = y, we have;

From the above values in the table, when x = 0, y = f(0) = 1

Therefore;

(b) y = 12 - 2•x²

Taking the function, f(x) = y, we have;

At x = 0, y = f(0) = 12 - 2 × 0² = 12

Therefore;

(c) A graph of a parabola passing through the points (-1, 3), (2, -6), (5, 3)

Let f(x) = a•x² + b•x + c, represent the function, we have;

f(-1) = 3 = a•(-1)² + b•(-1) + c = a - b + c

f(2) = -6 = a•(2)² + b•(2) + c = 4•a + 2•b + c

f(5) = 3 = a•(5)² + b•(5) + c = 25•a + 5•b + c

Solving the system of linear equations, (1), (2), (3) using a graphing calculator gives;

a = 1, b = -4, c = -2

Which gives;

f(x) = x² - 4•x - 2

Therefore;

f(0) = 0² + 4×0 - 2 = -2

Which gives;

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The number of cars that would pass through the intersection in 8 hours is 19,656.

In order to determine the number of cars that would pass through the intersection in 8 hours, the cars that passed through in one hour would be multiplied by the number of hours.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the process of adding one number to another over a number of times. The sign used to represent multiplication is x.

Total number of cars that passed through in 8 hours = cars that passed through in one hour x number of hours

2457 X 8

2457

x     8

19,656

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Answer:

44.912, 44.120, 44.102,

Step-by-step explanation:

The measure of the other angle is  114.7.

Given that the angles are  supplementary,

Let the other angle be 'x'.

x + 65.3 = 180 degree

x = 114.7

hence, The other angle is 114.7 degrees.

The term "supplementary angles" refers to a pair of angles that always add up to 180°. These two perspectives are known as supplements. The term "supplementary" is derived from the Latin words "supply" and "plere," where "supply" means "supply" and "plere" means "fill." As a result, "supplementary" means "something that is supplied to complete a thing."

If two angles add up to 180 degrees, they are said to be supplementary angles. When supplementary angles are combined, they form a straight angle (180 degrees). In other words, if Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" in this case.

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Answer:

B

Step-by-step explanation:

Because 3/20 is 15%, 20%, 25%, 33%

All my work and answer is provided in the attached screenshot!

Have a great day!

After solving the Linear equation, the value of the n becomes 18.4.

According to the statement

We have to find that the value of the n.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The equation is 18 = (36.4-n)

Then we have to solve it

(36.4-n) = 18

36.4 -18 = n

After rearrange it then

n = 36.4 -18

Now subtract the equation, then

n = 18.4.

So, After solving the Linear equation, the value of the n becomes 18.4.

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we get the the multiplication equations are 2 + 2 + 2 + 2 + 2 = 2 × 5, 5 + 5 + 5 + 5 + 5 = 5 × 5 and 4 groups of 3 = 3 × 4.

We are given some expressions and we need to find the multiplication equation for each one.

a) 2 + 2 + 2 + 2 + 2 will be

Since, 2 is repeating 5 times, we get that:

multiplication equation will be:

2 + 2 + 2 + 2 + 2 = 2 × 5

b) 5 + 5 + 5 + 5 + 5 will be

Since, 5 is repeating 5 times, we get that:

multiplication equation will be:

5 + 5 + 5 + 5 + 5 = 5 × 5

c ) 4 groups of 3  will be

Since, 3 is repeating 4 times, we get that:

multiplication equation will be:

4 groups of 3 = 3 × 4

Therefore, we get the the multiplication equations are 2 + 2 + 2 + 2 + 2 = 2 × 5, 5 + 5 + 5 + 5 + 5 = 5 × 5 and 4 groups of 3 = 3 × 4.

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Option 2 is the answer.

No. on tickets sold = 6000

Proceedings of the tickets sold = $78,000

Cost of tickets for children = $8

Cost of tickets for adults = $16

Cost of tickets for seniors = $12

2 times more adults were present than the children.

Let the number of children be 'c.'
Let the number of adults be 'a.'
Let the number of seniors be 's.'

Since 2 times more adults were present than the children, we get the equation,

a = 2c

No. of tickets sold will be equal to the total no, of people.

∴ c + a + s = 6000

The proceedings will be equal to the sum of the amounts and number of people who bought tickets with that amount,

∴ 8c + 16a + 12s = $78,000

Thus, we have the three equations,

c + a + s = 6000
8c + 16a + 12s = $78,000
a = 2c

This series of equations are given in option 2 Thus, option 2 is the answer.

Answer) Option 2.

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Answer:

The answer is 8,937.5

Step-by-step explanation:

71500÷8

8×8=64

71-64=7

7500÷8

8×9=72

75-72=3

300÷8

8×3=24

30-24=6

60÷8

8×7=56

60-56=4

4.0÷8

8×5=40

40-40=0

Yes, it is a rational number                            

Boris can expect to break even ( neither gain or lose money) is the answer.

The probability of a number is calculated by dividing Favorable outcome by Total outcome.

The probability of a number between 1 to 10 = Favorable outcome/Total outcome

Favorable outcome =1 (any one number )

Total outcome = 10

Here p(x) is equal to 1 divided by 10

P(X)= 1/10= 0.1

The table gives us the Amount when we multiple X to P(X),

Expected value = (XiP(Xi))

When we substitute the value we get,

=(10.1)+(-50.1)+(30.1)+(-50.1)+(50.1)+(-50.1)+(70.1)+(-50.1)+(90.1)+(-50.1)

=0

So we will get zero after substituting the value.

Hence, option C Bories can Expect to break even (Neither gain or lose money) is the correct answer.

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Now, because the conditional and converse are true, then we have a biconditional relation between P and Q.

From that, we conclude that the truth values for the two above statements is true for both

A conditional statement is of the form:

If P, then Q.

The inverse statement is:

if Q, then P.

We assume that these two are true.

An example of this is:

P = a number is even.

Q = a number is a multiple of 2.

Then the two above statements are:

Now the inverse statement is:

if not P, then not Q.

The contrapositive is:

If not Q, then not P.

Now, because the conditional and converse are true, then we have a byconditional relation between P and Q.

From that, we conclude that the truth values for the two above statements is true for both, but let's check with our propositions:

Inverse: If a number is not even, then it is not a multiple of 2. (this is true)

Contrapositive: If a number is not multiple of 2, then it is not even (also true).

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If there are about 7,000,000,000 people in the world and  In Australia, there is a population of about 2.306 x [tex]10x^{7}[/tex] people, then the difference between the world's  and Australia's populations is 697.694×[tex]10^{7}[/tex]

Given,

The total population of world = 7,000,000,000 peoples

Convert to suitable standard form

7,000,000,000 peoples = 700×    [tex]10^{7}[/tex] peoples

The population of Australia = 2.306×[tex]10^{7}[/tex]

The difference = The population of world - The population of Australia

=700×    [tex]10^{7}[/tex]-2.306×[tex]10^{7}[/tex]

=(700-2.306)×[tex]10^{7}[/tex]

=697.694×[tex]10^{7}[/tex]

Hence, If there are about 7,000,000,000 people in the world and  In Australia, there is a population of about 2.306 x [tex]10x^{7}[/tex] people, then the difference between the world's  and Australia's populations is 697.694×[tex]10^{7}[/tex]

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Answer:

13

Step-by-step explanation:

When x=20

=x-7

=20-7

=13

Answer:

A = {2, 4}

Step-by-step explanation:

This can be written as

A = {2, 4}

Answer:

impossible

Step-by-step explanation:

what is in the absolute value have to be positive so it's impossible that |2x+5| is < or = at -7

Answer: it is 4.76785714286

Step-by-step explanation:

Using proportions, the coordinates of point C are given as follows:

C(0, -0.67).

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

For this problem, the points are given as follows:

A(-4,-6), B(5,6), C(x,y).

The ratio of AC to CB is of 4:5, hence the following equation is constructed:

C - A = 4/9(B - A).

As the ratio of 4:5 means that the distance is 4/(4 + 5) = 4/9.

The x-coordinate of C is found applying the above equation as follows:

x + 4 = 4/9(5 + 4)

x + 4 = 4

x = 0.

The y-coordinate of C is also found applying the equation, as follows:

y + 6 = 4/9(6 + 6)

y + 6 = 5.33.

y = -0.67.

Hence the coordinates of point C are given as follows:

C(0, -0.67).

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We get the fixed cost as $ 150, cost of 25 items as $ 750, range as [0, 1500] and the domain as [0,150].

We are given the cost function:

C(x) = 10x + 500.

Fixed cost is when x = 0

C(0) = Fixed cost = 10 ( 0 ) + 500

Fixed cost = $ 500

Cost of making 25 products is x = 25

C(25) = 10 (25) + 500

C(25) = 250 + 500 = $ 750

Maximum cost allowed = $ 1500

Function becomes:

10x + 500 ≤ 1500

x + 50 ≤ 150

x ≤ 150 - 50

x ≤ 100

Range = [0, 1500]

Domain = [0, 150]

Therefore, we get the fixed cost as $ 150, cost of 25 items as $ 750, range as [0, 1500] and the domain as [0,150].

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