Please help I can’t do this

Please Help I Cant Do This

Answers

Answer 1

The four consecutive numbers which adds to give 130, are 31, 32, 33, 34

What are consecutive numbers?

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Given that, there are four consecutive numbers which adds to give 130,

According to the definition of consecutive numbers, we add 1 to each previous integer to get the successive integer,

Therefore, let us consider x, x+1, x+2, x+3 be the four consecutive numbers,

Therefore,

x+x+1+x+2+x+3 = 130

4x + 6 = 130

4x = 124

x = 31

Therefore, the required consecutive integers are, 31, 32, 33, 34

Hence, the four consecutive numbers which adds to give 130, are 31, 32, 33, 34

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Related Questions

Mr. Burns takes a one-day trip and rents a car using the rates shown. The car rental cost is $68.25
.

A tablet shows Ray's Car Rental rates. All cars are thirty-five dollars per day plus seven cents per mile.

Write and solve an equation to find how many miles, m
, he traveled.

Enter the correct answers in the boxes.

Answers

The equation that represents the number of miles will be 68.25 = 35 + 0.07m. Then the number of miles will be 475 miles.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the gradient of the line and c is the y-intercept of the line.

Let 'm' be the number of miles. Then the equation is given as,

$68.25 = $35 + 0.07m

Solve the equation for 'm', then we have

68.25 = 35 + 0.07m

33.25 = 0.07m

m = 33.25 / 0.07

m = 475 miles

The equation that represents the number of miles will be 68.25 = 35 + 0.07m. Then the number of miles will be 475 miles.

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Triangle abc was dilated using the rule do,4. Triangle a'b'c' is the result of the dilation. What is ob'? 1. 5 units 3 units 4. 5 units 6 units.

Answers

If the length of OB was 3/4, then the length of OB' after dilation is; Option B: 3 units.

Dilation of an object simply means enlarging or shrinking the object by a scale factor.

We are told that Triangle ABC was dilated to Triangle A'B'C' using the rule D₀,₄. What this means is that it was enlarged by a scale factor of 4 with point O as the centre of dilation.

Now, if the length of OB is 3/4, it means that the new dilated length is gotten from;

                    Scale factor = new dilated length OB'/(3/4)

                    New dilated length OB' = (3/4) × 4

                    New dilated length OB' = 3 units

The question is incomplete. The complete question:

"Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation. Point O is the centre of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths. What is OB'?"

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PLEASE HELP ASAP!!!!!!!

Answers

Answer:

Step-by-step explanation:ok first you add 3 to 2 and the x is for times

Write a world description to fit the expresion -50÷5

Answers

The required description of the expression -50 ÷ 5 is It can be described as dividing -50 by 5 to find the quotient.

What is a number system?

A number system is described as a technique of composing to represent digits.

The expression -50 ÷ 5 represents a mathematical calculation. It can be described as dividing -50 by 5 to find the quotient. In this case, the result of the calculation would be -10.

This expression could be used in various scenarios, such as in finance to calculate the cost of an item, in science to determine measurements, or in everyday life to divide a quantity into equal parts. However, without additional context, it's difficult to provide a complete description of the world that fits this expression.

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PLS HELP!!!!
Chris walks into a store to buy a mouse and a mousepad. He is standing
at the cash register when he realizes he is $1.20 short on cash. The
mouse costs 95% of the amount of his money, and the mousepad costs
15% of the amount of his money. How much does the mouse cost, and
how much does the mousepad cost?

Answers

Answer:

24%

Step-by-step explanation:

It’s easy all u have to do is add the 95% and 15%

And when u get the answer u add it with 1.10$ and boom u subtract the number and u get 24%.

Answer: $1.80 and $11.40

Step-by-step explanation:

We know that Chris was short on cash by $1.20, but we need to create an equivalent percentage.

95% + 15% = 110% (how much does it cost)

110% - 110% (how much he had) = 10% (amount short) = $1.20

10% = $1.20

100% (how much he had) = $12.00

Mouse = 95% of $12.00 (how much he had) = $11.40

Mouse pad = 15% of $12.00 (how much he had) = $1.80

Check your work:

$1.80 (Mouse pad) + $11.40 (Mouse) = $13.20

$13.20 - $12.00 = $1.20 (amount short)

We were correct!

Final Answer: $1.80 and $11.40

expand -4x(- 3y+5z)

Answers

Answer:

[tex]12xy-20xz[/tex]

Step-by-step explanation:

0.4 = 0.167 + 0.2 v.. find the value of v?

Answers

Answer:

v = 1.165

Step-by-step explanation:

To find the value of v in the equation 0.4 = 0.167 + 0.2v, we can isolate v by subtracting 0.167 from both sides:0.4 - 0.167 = 0.2v0.233 = 0.2vNext, we can divide both sides by 0.2 to find the value of v:0.233 / 0.2 = 0.2v / 0.2v = 0.233 / 0.2v = 1.165So the value of v is 1.165.In conclusion, by subtracting 0.167 from both sides of the equation and dividing both sides by 0.2, we found that the value of v is 1.165.

Answer: The value of v that satisfies the equation 0.4 = 0.167 + 0.2v is 1.165.

Step-by-step explanation:

To find the value of v in the equation 0.4 = 0.167 + 0.2v, we can isolate v by subtracting 0.167 from both sides:

0.4 - 0.167 = 0.2v

0.233 = 0.2v

Next, we can divide both sides by 0.2 to solve for v:

0.233 / 0.2 = 0.2v / 0.2

v = 1.165

So, the value of v that satisfies the equation 0.4 = 0.167 + 0.2v is 1.165.

Which is the simplified form of the expression 3(7/5x + 4) - 2(3/2 - 5/4x)

Answers

Answer:

B

Step-by-step explanation:

It is B because:

21/5x+12-3+5/2x

21/5x+9+5/2x

u then find the lowest common multiple being 10x

42/10x+25/10x+90x/10x

67/10x+9

Ms Shaws class is studying the life cycle of a fish Ms shaw has 16 fish her fish hold 3 fish each how many fish tanka does Ms Shaw completely fill? How many fish are left?

Answers

Answer:

So Ms. Shaw will completely fill 6 fish tanks and have 1 fish left.

Step-by-step explanation:

Ms. Shaw has 16 fish and each fish tank can hold 3 fish. To find out how many fish tanks she needs, we can divide the total number of fish by the capacity of each tank:

16 fish / 3 fish per tank ≈ 5.33 tanks

Since we cannot have a fraction of a tank, we need to round up to the nearest whole number. Therefore, Ms. Shaw needs 6 fish tanks to completely fill all her fish.

To find out how many fish are left, we need to subtract the number of fish in the full tanks from the total number of fish:

16 fish - (5 tanks * 3 fish per tank) = 1 fish left

So Ms. Shaw will completely fill 6 fish tanks and have 1 fish left.

PQRS is parallelogram. If QX = 13, then QS =

Answers

The QS would be QS = PQ(1 + PQ/13)

What are the sides and angles of a parallelogram?

S = (n 2) 180°, where 'n' specifies the number of sides in the polygon, can also be used to determine this.

Since PQRS is a parallelogram, opposite sides are parallel and equal in length. Therefore, we can say that PQ = SR and QS = PR.

If QX = 13, then we can use the fact that PQRS is a parallelogram to find the length of QS. We can draw a line segment from Q that is parallel to SR, and call the point where this line segment intersects PS as Y. This forms two triangles, QXY and QSR, which are similar because they share an angle and have parallel sides.

By the properties of similar triangles, we can set up a proportion:

QY/QX = QS/SR

Since QY is the same as PS, we can substitute PQ + QY for PS:

(QX + PQ)/QX = QS/SR

Substituting the value of QX and recognizing that PQ = SR, we get:

(13 + PQ)/13 = QS/PQ

Simplifying this equation, we get:

1 + PQ/13 = QS/PQ

Multiplying both sides by PQ, we get:

PQ + (PQ^2/13) = QS

Since PQ = SR and PQRS is a parallelogram, we know that SR = PQ, so we can substitute PQ for SR:

QS = PQ + (PQ^2/13)

Simplifying further, we get:

QS = PQ(1 + PQ/13)

Therefore, The QS would be QS = PQ(1 + PQ/13)

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Which expressions have the same value as 5 × 6 + 2 ?
5 × (6 + 2)
5 + 6 × 2
(5 × 2) + 6
(5 × 6) + 2
2 + 5 × 6

Answers

Answer:

it is the 4th and 5th

Step-by-step explanation:

by following the laws of BODMAS

Brackets

of

Division

Multiplication

Addition

Subtraction

(5×6)+2=5×6+2

(30)+2=30+2

32=32

5×6+2=2+5×6

30+2=2+30

32=32

number 1 and number 4

Does someone know the answer?

Answers

The hypotenuse of the right triangle has a length of 19.24 cm.

How to find the length of the hypotenuse?

For a right triangle whose catheti are A and B, and the hypotenuse is C, then the Pythagorean's theorem says that:

A^2 + B^2 = C^2

The lengths of the legs are:

A = 9cm

B = 17cm

Then the length of the hypoten use is given by:

(9cm)^2 + (17cm)^2 = C^2

√((9cm)^2 + (17cm)^2) = C

19.24 cm = C

The length of the hypotenuse is 19.24 cm.

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If the volume of a cone is 18ft^3 and the radius measures 3 ft, what is the height?

Answers

The height of a cone is equal to 1.91 feet.

How to calculate the volume of a cone?

Mathematically, the volume of a cone can be calculated by using this formula:

Volume of a cone, V = 1/3 × πr²h

h represents the height.r represents the radius.

Making "h" the subject of formula, we have:

Height, h =3V/(πr²)

Substituting the given parameters into the height of a cone formula, we have;

Height, h =3(18)/(3.142 × 3²)

Height, h = 54/(28.278)

Height, h = 1.91 feet.

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Let f(x)=sin(x) + 2 cos(x). Find the slope-intercept equation of the line tangent to the graph of y = f(x) at the point on the graph where x = 0. The equation of the tangent line is (write your answer in the form y =mx+b):​

Answers

Answer:

Step-by-step explanation:

The first step is to find the slope of the tangent line. To do that, we need to find the derivative of f(x):

f(x) = sin(x) + 2cos(x)

f'(x) = cos(x) - 2sin(x)

Now we can find the slope of the tangent line at x=0 by plugging in x=0 into f'(x):

f'(0) = cos(0) - 2sin(0) = 1

Therefore, the slope of the tangent line at x=0 is 1.

Next, we need to find the y-coordinate of the point on the graph where x=0. To do that, we simply plug in x=0 into f(x):

f(0) = sin(0) + 2cos(0) = 2

Therefore, the point on the graph where x=0 is (0, 2).

Now we can use the point-slope form of the equation of a line to find the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point on the line. Plugging in m=1 and (x1, y1) = (0, 2), we get:

y - 2 = 1(x - 0)

Simplifying, we get:

y = x + 2

Therefore, the equation of the tangent line is y = x + 2.

Answer:

The equation of the tangent line at x = 0 can be found by differentiating the function f(x) and using the point-slope form of a line.

The derivative of f(x) is f'(x) = cos(x) - 2sin(x). Substituting x = 0 into f'(x) gives f'(0) = cos(0) - 2sin(0) = 1 - 0 = 1.

Therefore, the equation of the tangent line is y = 1x + b, or y = x + b.

To find the value of b, we can plug in x = 0 and y = f(0) = sin(0) + 2cos(0) = 2 into the equation. Solving for b, we get 2 = 0 + b, so b = 2.

Therefore, the slope-intercept equation of the line tangent to the graph of y = f(x) at the point (0,2) is y = x + 2.

A rectangle has a height of
5
55 and a width of
4

2

2


6
4x
2
−2x−64, x, squared, minus, 2, x, minus, 6.
Express the area of the entire rectangle.
Expression should be expanded

Answers

The area of rectangle in expanded quadratic form is; is 20x² - 10x - 30.

How to find the area of a rectangle?

The area of rectangle is given by the formula;

Area = length × width.

Area = 5  × (4x² - 2x - 6)

= (5 × 4x²) - (5 × 2x) - (5 × 6)

= 20x² - 10x - 30

Therefore, the area of rectangle is 20x² - 10x - 30.

Upon solving the above quadratic equation, we get,

20x² - 10x - 30 = 0

2x² - x - 3 = 0

x = 3/2, x = -1

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Complete question is;

A rectangle has a height of 5 and a width of 4x² - 2x - 6. Find the area of rectangle.

Answer:

20x² - 10x - 30

Step-by-step explanation:

Write a polynomial function f of least degree that has a
leading coefficient of 1 and the given zeros. Write the
function in standard form.
Given zeros: -6,0,3-square root of 5

Answers

The least polynomial that contains the roots - 6, 0, 3 - √5 is equal to y = x⁴ - 5 · x³  - 2 · x² + 4 · x.

How to derive a polynomial function

In this problem we must determine a polynomial function that contains the following roots: - 6, 0, 3 - √5. By quadratic formula we understand the quadratic polynomial may contain two roots of this kind: x₁ = α + β and x₂ = α - β. Therefore, the complete set of roots of the least polynomial is:

x₁ = - 6, x₂ = 0, x₃ = 3 - √5, x₄ = 3 + √5

And the factor form of the least polynomial is:

y = (x + 6) · x · (x - 3 + √5) · (x - 3 - √5)

y = (x² + x) · [(x - 3)² - 5]

y = (x² + x) · (x² - 6 · x + 4)

y = x⁴ + x³ - 6 · x³ - 6 · x² + 4 · x² + 4 · x

y = x⁴ - 5 · x³  - 2 · x² + 4 · x

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Chase decided to go to a cat home after school.
If he can make 5 servings of cat food from a third of a kilogram of food, how much does one serving weigh?

Answers

Answer:

Step-by-step explanation:the answer is 0.14 pounds

MONUMENTS Susan is designing a pyramidal stone
monument for a local park. The design specifications tell
her that the width of the base must be 5 feet less than the
length and there must be 2 feet of space on each side of the
pyramid. The expression x² + 3x-4 represents the area that
the pyramidal stone monument will require.
a. Factor the expression that represents the area that the
pyramidal stone monument will require.
b. What does x represent?

Answers

The factor of the expression x² + 3x - 4 will be (x + 4) and (x - 1). And the variable 'x' represents the length of the rectangle.

What is the area of the rectangle?

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

Let 'x' be the length of the rectangle. Then the width will be (x - 5). Then the factors of the expression is given as,

A = x² + 3x - 4

A = x² + 4x - x - 4

A = x(x + 4) - 1(x + 4)

A = (x + 4) · (x - 1)

The factors of the expression x² + 3x - 4 will be (x + 4) and (x - 1). And the variable 'x' represents the length of the rectangle.

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-3(5x-10)= distributive property

Answers

Answer:

Step-by-step explanation:

-150

Answer: -15x + 30

Step-by-step explanation:

-3(5x) = -15x (positive x negative = negative)

-3(-10) = 30 (negative x (negative = positive)

(same symbols = positive)

(Different symbols = negative)

14. The function f(x)=√x+2-3 is moved 3 units left and 1 unit up. Which of
the following is the correct equation for the new function?

Answers

The equation of the function is g(x) = √(x + 5) - 2

How to determine the equation of the function

From the question, we have the following parameters that can be used in our computation:

f(x)=√(x + 2) - 3

The transformation is given as:

3 units left and 1 unit up

This is represented as

(x + 3, y + 1)

Substitute the known values in the above equation, so, we have the following representation

g(x) = √(x + 2 + 3) - 3 + 1

Evaluate

g(x) = √(x + 5) - 2

Hence, the equation is g(x) = √(x + 5) - 2

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Find an equation of the line that satisfies the given conditions. Through (-9, -11); perpendicular to the line passing through (-6, 1) and (-2, -1)
Find an equation of the line that satisfies the given conditions.
Through (−9, −11); perpendicular to the line passing through (−6, 1) and (−2, −1)

Answers

An equation of the line that satisfies the given conditions is x = 2y + 13.

To find the equation of the line that passes through the point (-9, -11) and is perpendicular to the line passing through (-6, 1) and (-2, -1), we can use the slope-point form of a line.

First, we find the slope of the line passing through (-6, 1) and (-2, -1). The slope of this line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Plugging in the values, we have:

m = (-1 - 1) / (-2 - (-6)) = -2 / 4 = -1/2

The slope of a line perpendicular to this line has a negative reciprocal, so the slope of the line through (-9, -11) that is perpendicular to this line is 1/2.

Next, we use the point-slope form of a line to find the equation of the line:

y - y1 = m (x - x1)

where (x1, y1) is a point on the line and m is the slope.

Plugging in the values, we have:

y - (-11) = 1/2 (x - (-9))

Expanding and simplifying, we get:

y + 11 = 1/2 (x + 9)

Multiplying both sides by 2, we get:

2y + 22 = x + 9

Subtracting 9 from both sides, we get:

2y + 13 = x

So, the equation of the line that satisfies the given conditions is:

x = 2y + 13

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HELP ASAP, WILL GIVE FIRST ANSWER BRAINLIEST,

Louis rolled a fair six-sided die and recorded the number that was facing up on the die. He continued this for a total of 60 rolls. The table shows the frequency of each number rolled.


Outcome 1 2 3 4 5 6
Frequency 8 11 6 14 9 12


Based on the table, what is the experimental probability that the number rolled was odd?

1 over 2

5 over 12

23 over 60

37 over 60

Answers

Answer:

[tex]\textsf{C)} \quad \dfrac{23}{60}[/tex]

Step-by-step explanation:

The odd number outcomes are 1, 3 and 5.

The probability for rolling each of the odd numbers is the frequency of the outcome divided by the total number of rolls.

[tex]\implies \sf P(x=1)=\dfrac{8}{60}[/tex]

[tex]\implies \sf P(x=3)=\dfrac{6}{60}[/tex]

[tex]\implies \sf P(x=5)=\dfrac{9}{60}[/tex]

Therefore, the experimental probability that the number rolled was odd is:

[tex]\begin{aligned}\sf P(x\;is\;odd)&=\sf P(x=1)\;or\;P(x=3)\;or\;P(x=5)\\\\&=\sf \dfrac{8}{60}+\dfrac{6}{60}+\dfrac{9}{60}\\\\&=\sf \dfrac{8+6+9}{60}\\\\&=\sf \dfrac{23}{60}\end{aligned}[/tex]

Sites like zillow get input about house prices from a database and provide nice summaries for readers. Write a program with two inputs, current price and last month's price (both integers). Then, output a summary listing the price, the change since last month, and the estimated monthly mortgage computed as (currentprice * 0. 051) / 12. End the last output with a newline.

Answers

By writing this program, you will gain a better understanding of how this process works and how databases are used in real-world applications.

Here you will write a program that takes two inputs: the current price of a house and the price of the same house from last month. These inputs should be integers. The program will then use these inputs to produce a summary of the house price information.

The first part of the summary will simply list the current price of the house. This information is stored in the database and is retrieved by the program when it starts.

The next part of the summary will be the change in the house price since last month. This information is also stored in the database and is calculated by subtracting the price from last month from the current price.

Finally, the program will output the estimated monthly mortgage payment for the house. This is calculated by multiplying the current price of the house by 0.051 and then dividing the result by 12. This information is also stored in the database and is retrieved by the program when it starts.

In conclusion, websites like Zillow use databases to gather and store information about house prices, and they use that information to create summaries for their readers.

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it Is Impossible To Get 8 Aces When Selecting Cards From A Shuffled Deck. Express The Indicated Degree Of Likelihood As A Probability Value Between 0 And 1 Inclusive. The Probability Is (Type An Integer Or A Decimal.)

Answers

It is impossible to get 8 aces from a standard 52 cards deck.

What is probability and its formula?

The formula for probability states that the possibility of an event happening, or P(E), equals the ratio of the number of favorable outcomes to the number of total outcomes. Mathematically, it looks like this: P(E) = favorable outcomes/total outcomes.

Now, According to the question:

There are four aces in total in a 52 card deck.

Therefore the probability of getting 8 aces can be expressed as:

P(8A) = 7/52 × 6/51 × 5/50 × 4/49 × 3/48 × 2/47 × 1/46 × 0/45 = 0

The probability getting is zero.

Therefore, it is impossible to get 8 aces from a standard 52 cards deck.

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Can I have some help please!

Answers

Answer:

B

Step-by-step explanation:

The graph has to start at  - 4   and get  smaller ( more negative...'less than')   but NOT INCLUDE -4   ( should be hollow dot at -4)

What is the domain and range of y=3√5x-2?

Answers

Refer to the attached image.

how many 1 2/3 foot pieces of ribbon can you cut from a pice of ribbon that is 35 feet long

Answers

The number of ribbons of length  [tex]1\frac{2}{3}[/tex]  that can be cut out of a piece of ribbon that is 35 ft long, is 21

What is division?

A division is a process of splitting a specific amount into equal parts.

Given that, a piece of ribbon that is 35 feet long, we need to find that how many [tex]1\frac{2}{3}[/tex] foot pieces of ribbon can you cut from it,

For this we will use the concept of division,

The number of ribbon cut from it = total length / small ribbons length

= 35 /  [tex]1\frac{2}{3}[/tex]

= 35 / 5÷3

= 35×3 / 5

= 21

Hence, the number of ribbons of length  [tex]1\frac{2}{3}[/tex]  that can be cut out of a piece of ribbon that is 35 ft long, is 21

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A plastic rod has been bent into a circle of radius R = 8.20 cm. It has a charge Q1 = +3.00 pC uniformly distributed along one-quarter of its circumference and a charge Q2 = -6Q1 uniformly distributed along the rest of the circumference. Take V = 0 at infinity.

Answers

The electric potential at the center of the circle formed by the plastic rod is -1.644V.

We know that the formula to find the electric potential V = KQ/R,

where K is Coulombs constant, Q is the charge, and R is the radius of the circle.  

According to the question,

The radius of the circle formed by the plastic rod on bending = 8.20 cm

(Converting cm to m by dividing by 100)               = (8.20)/100 = 0.082m

We know that Coulombs constant (K) =  8.99 × 10 ^ 9 N m^2/C^2

It is given that along one quarter of its circumference (Q1) =  +3.00 pC

and along the remaining circumference, the charge (Q2) = -6Q1

Therefore, electric potential (V) = K (Q1+KQ2) /R

= (8.99 × 10 ^ 9) (Q1 + (-6Q1)) / 0.082 = (8.99 × 10 ^ 9) (-5Q1)/ 0.082

= -5 (8.99 × 10 ^ 9) (3 X 10 ^ -12) / (0.082) = -1.644512V ≈ -1.644V

The given question is incomplete, the complete question is:

A plastic rod has been bent into a circle of radius R = 8.20 cm. It has a charge Q1 = +3.00 pC uniformly distributed along one-quarter of its circumference and a charge Q2 = -6Q1 uniformly distributed along the rest of the circumference. Take V = 0 at infinity.

What is the electric potential at the center C of the circle?

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Find the value of each variable show proofs

Answers

From trigonometric ratios, the value of x and y are 11 [tex]\sqrt{3}[/tex] and 11, respectively.

RIGHT TRIANGLE

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: (hypotenuse)²= (leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x) ,  cos  (x) and tan  (x) , where:

sin (x) =[tex]\frac{opposite\ leg}{hypotenuse}[/tex]

cos(x)=[tex]\frac{adjacent\ leg}{hypotenuse}[/tex]

tan (x) = [tex]\frac{sin (x)}{cos(s)}= \frac{opposite\ leg}{adjacent\ leg}[/tex]

Therefore, for finding x you can apply the trigonometric ratio sin (x). See below:

sin (60) =[tex]\frac{opposite\ leg}{hypotenuse}=\frac{x}{22}[/tex], knowing that  sin (60)=[tex]\frac{\sqrt{3} }{2}[/tex] you have

[tex]\frac{\sqrt{3} }{2}=\frac{x}{22} \\ \\ 2x=22\sqrt{3} \\ \\ x=11\sqrt{3}[/tex]

For finding y you can apply the trigonometric ratio tan (x). See below:

tan (60) =[tex]\frac{opposite\ leg}{adjacent\ leg}=\frac{x}{y}[/tex], knowing that  tan (60)=[tex]\sqrt{3}[/tex] and x=[tex]11\sqrt{3}[/tex], you have

[tex]\sqrt{3} =\frac{x}{y} \\ \\ \sqrt{3} =\frac{11\sqrt{3} }{y}\\ \\ y\sqrt{3} =11\sqrt{3} \\ \\ y=11[/tex]

Learn more about trigonometric ratios here:

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y = -x + 2
y = -x + 2
graph

Answers

The graph of the slope-intercept form y = -x + 2 is a linear graph with the slope = -1, and the y-intercept = 2

What is the graph of a slope-intercept form?

The slope intercept form is an approach for figuring out the straight line of a linear equation on the coordinate plane. We need to have the slope of the line and the y-intercept where the line crosses the y-axis in order to use the slope-intercept formula.

The slope-intercept form can be expressed by using the formula:

y = mx + b;

where,

m = slope and,b = y-intercept

Given that:
y = -x + 2

The graph of the linear equation  (y) means that the slope = - 1, and the y-intercept = 2.

Learn more about the graph of a slope-intercept form here:

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