suppose v varies directly as g,and v=36 when x=4.Find v when g=11

Answers

Answer 1

Answer:

v = 99

Step-by-step explanation:

given v varies directly as g then the equation relating them is

v = kg ← k is the constant of variation

to find k use the condition v = 36 when g = 4 , then

36 = 4k ( divide both sides by 4 )

9 = k

v = 9g ← equation of variation

when g = 11 , then

v = 9 × 11 = 99


Related Questions

Graph g(x) = -2x - 3.

Answers

The graph of the function g(x) = -2x - 3 is attached below.

Graph:

Graph refers a diagram that represents the variation of a variable in comparison with that of one or more other variables.

Given,

Here we have the function g(x) = -2x - 3

Now, we need to plot the graph of the function.

In order to plot the graph for the given function,

First we have to take some sample values for the given function and then apply it on the given function to generate the table to plot the graph.

Now, we have to take -2, -1, 0, 1, 2 are the samples value for x.

Then we get the value of the function as,

x = -2 => g(-2) = -2(-2) - 3 = 4 - 3 = 1

x = -1 => g(-1) = -2(-1) - 3 = 2 - 3 = -1

x = 0 => g(0) = -2(0) - 3 = 0 - 3 = -3

x = 1 => g(-2) = -2(1) - 3 = -2 - 3 = -5

x = 2 => g(2) = -2(2) - 3 = -4 - 3 = -7

Now, we can get the table like the below

Now, we have to plot the graph through this table, then we get the graph like the following.

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Mark earns a salary of £28000 per annum. At the end of the on increase first year he is given he is of 3%.. At end of the second given an increase of 2.5%. Work out Mark's salary at the end of the two years.​

Answers

Answer:

£27839

Step-by-step explanation:

O×M=N (original x multiplier = original value)

£28000×0.97%=£27160< 1st year decrease

£27160x1.025=£27839<2nd year increase

Use the product-to-sum identities to rewrite the following expression as a sum or difference.

2sin(2x)sin(2x)

Answers

The sum form of the trigonometric function 2 · sin 2x · sin 2x by product-to-sum formula is 1 - cos 4x.

How to transform a product of trigonometric functions into a sum of trigonometric functions

Herein we find the definition of a trigonometric function defined as a product of trigonometric function, this can be transformed into a sum of trigonometric functions by means of the following product-to-sum formula:

sin α · sin β = [cos (α - β) - cos (α + β)] / 2

First, write the trigonometric function defined in the statement:

2 · sin 2x · sin 2x

Second, use the product-to-sum formula by considering α = β = 2 · x:

2 · [[cos (2x - 2x) - cos (2x + 2x)] / 2]

cos 0 - cos 4x

1 - cos 4x

Third, write the resulting expression:

2 · sin 2x · sin 2x = 1 - cos 4x

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Luis has $80 in his checking account. He makes a deposit of $100, and the write a check for $40

Answers

Answer: 140 is the answer

Step-by-step explanation: Luis adds 100 to his account  so which makes the account balance 180 and then writes a check so he takes 40 out of his account which means he has 140 left in his account

what is -3 > -2x + 7 ?

Answers

To solve this, we begin by subtracting 7 from both sides:

-3 - 7 = -10
7 - 7 = 0

Our expression becomes:

-10 > -2x

Divide both sides by the coefficient:

5 > x

Now to switch signs:

5 < x

Our expression then becomes x > 5.

PLEASE HELP EXTRA POINTS select all true statements

Answers

Answer: C

PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!

If the quotient is 0 , what is the dividend?

Answers

Answer: 0

Step-by-step explanation:

If the dividend and the divisor are the same, the quotient is always 1. If the dividend is the, then the quotient would always be 0. A division equation with 0 dividend and 0 divisor is not valid.

Answer: All real numbers

Step-by-step explanation: Anything that's being divided by 0, is always going to be 0. For example, 0/7 is always 0.

Write a quadratic function f whose zeros are 7 and -5.

Answers

Answer:

  f(x) = x² -2x -35

Step-by-step explanation:

You want a quadratic function that has zeros 7 and -5.

Factors

Each zero (p) gives rise to a factor (x-p). The zeros 7 and -5 mean the quadratic has factors (x-7) and (x-(-5)).

  f(x) = (x -7)(x +5)

  f(x) = x² -2x -35

__

Additional comment

You may notice that the coefficient of the linear term is the opposite of the sum of the zeros. The constant term is the product of the zeros. Knowing this, we can write the quadratic without any concern for the factors.

  sum: 7-5 = 2

  product: (7)(-5) = -35

  quadratic: f(x) = x² -2x -35

State whether the following variables have a positive correlation, negative correlation, or no correlation.

3.)

(a.)Height of a person and how often he or she attends religious services. __________________________________

(b.)Average property tax in a school district and salary of teachers __________________________

(c.)Weight of a person and shoe size. ____________________________

Answers

The types of correlation seen between positive correlation, negative correlation, or no correlation, in the variables is:

a. Height of a person and how often he or she attends religious services. - No correlation (b.)Average property tax in a school district and salary of teachers - Positive correlation (c.)Weight of a person and shoe size. - Positive correlation

What is the correlation between property taxes and teacher salaries?

One of the main sources of funding for school districts is the property tax charged. This means that increased property taxes will lead to more money being available for teacher salaries which might then increase. There is therefore a positive correlation between the two.

The same is true for the weight of a person and shoe size. This is because the heavier a person is, the larger their shoe size according to research.

There is however no correlation between the height of a person and their attendance of religious services.

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Last Friday, Kira and Marcy got dinner at Seaside Sushi restaurant. Kira ordered 2 pieces of tuna and 5 pieces of crab. Marcy ordered 3 pieces of tuna and 6 pieces of crab. Did Kira and Marcy order the same ratio of tuna pieces to crab pieces?

Answers

Answer:

no

Step-by-step explanation:

because Kira ordered 5 pieces of crab while Marcy has ordered 6 pieces of crab

Find the value of n(AnB) if
n(A)=5 n(B)=7 and n(AUB)= 10

what is n(AnB)=?


PLEASE HELP

Answers

By using the concept of set operation, the result obtained is

[tex]n(A \cap B) = 2[/tex]

What is a set?

Set is a well defined collection of distinct objects. The members of a set are called elements of a set. Set can be empty as well as non empty.

Set can be finite as well as infinite.

The number of elements inside a set is known as cardinal number of the set

Operations on set are union, intersection, set difference and symmetric difference

Concept of set operation has been used here

n(A)=5 n(B)=7 and n(AUB)= 10

[tex]n(A \cap B) = n(A) + n(B) - n(A \cup B)[/tex]

[tex]n (A \cap B) = 5 + 7 -10\\n(A \cap B ) =2[/tex]

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Joey has 80 pens and 30 of them are red. What percent are red?

Answers

Answer:

Step-by-step explanation:

There are 4 squares and 16 triangles. What is the simplest ratio of squares to
triangles?

Answers

the simplest ratio would be 1:4
because 4/4= 1 and 16/4 = 4

Answer:

1  :  4

Step-by-step explanation:

There are 4 squares and 16 triangles.

That is,

Squares : Triangles

          4  :  16

To write it in its simplest ratio, divide both by 4.

Squares : Triangles

         1  :  4


The sum of two numbers is 130 and their difference is 34 Let x be the first number and y be the second
number Set up a system of equations and use the elimination method to find the numbers. You must
show your work
10. A theater sold 800 tickets for Friday night's performance, One child ticket costs $4.50 and one adult
ticket costs $6.00. The total amount collected was $4.500. How many of each type of ticket were sold?
11. The postal service offers flat-rate shipping for priority mail in special boxes. Malia shipped 4 small
boxes and 2 medium boxes, which cost her $54 to ship. Meanwhile, Stephen shipped 1 small box and
2 medium boxes, and paid $33. How much does it cost to ship these two sizes of boxes?

Answers

Step-by-step explanation:

9)=

By the question:-

x + y = 130-i

x - y = 34-ii

Now,

Add i and ii,

x + y + x -y = 164

or, 2x = 164

so, x = 82

Now,

x -y = 34

or, 82 - y = 34

so, y = 48

The numbers are 82 and 48.

10) =

Let adults ticket be x and childs ticket be y.

x + y = 800

x = 800 - y - eqn i

4.5x + 6y = 4500

Substituting x's value from eqn i,

4.5(800-y) + 6y = 4500

or, 3600 - 4.5y + 6y = 4500

or, 1.5y = 900

so, y = 600

Now,

x + y = 800

or, x + 600 = 800

so, x = 200

Hence, 600 adult tickets were sold and 200 child tickets were sold.

11)=

Let cost of one small box be x and one medium box be y.

So,

4x + 2y = 54-eqn i

x + 2y = 33-eqn ii

subtracting eqn i from ii,

x + 2y - 4x - 2y = - 21

or, -3x = - 21

so, x = 7

Now,

x + 2y = 33

or, 2y = 33 - 7

or, y = 26/2

so, y = 13

So, cost of one small box is $7 and medium box is $13.

find quotient of 5 divided by 3/10

Answers

The quotient of 5 divided by 3/10 is equal to 50/3

How to divide by a fraction?

When we want to divide by a fraction, we just need to replace that division by the product with the inverse of the fraction.

So, if we want to divide A by the fraction (b/c), then we can write:

A÷(b/c)

That will be equal to A*(c/b), so:

A÷(b/c) =  A*(c/b)

Here we want to divide 5 by 3/10, then we need to solve:

5÷(3/10)

Using the above rule we will get:

5÷(3/10) = 5*(10/3) = 50/3

That is the quotient.

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Mrs. Boyer is buying folding chairs that are on sale for $8. She has $56. Which inequality
can be solved to show the number of chairs c Mrs. Smith can buy?
a. 8c ≤ 56
b.8 >56

c. 56c<58
d. 56c>28

Answers

An inequality that can be solved to show the number of chairs c Mrs. Smith can buy 8c ≤ 56

In this question we have been given Mrs. Boyer is buying folding chairs that are on sale for $8.

She has $56

We need to find an inequality that can be solved to show the number of chairs c Mrs. Smith can buy.

A price of one chair is $8

So, the price of 'c' number of chairs would be 8c

But she has $56

So, to find the number of chairs she can buy, we need to divide 56 by 8

We can write is as 8c = 56

⇒ c = 7

But she might buy less that 7 chairs.

So, we write above relation in inequality form as,

8c ≤ 56

Therefore, an inequality that can be solved to show the number of chairs c Mrs. Smith can buy 8c ≤ 56

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What is the equivalent equation to the given equation?
x = x² - 20

Answers

The equivalent equation to the given equation i.e, x = x² - 20  is   x² - x - 20 = 0

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

The given expression is,

x = x² - 20

We have to make the equation in quadratic form i.e, ax² + bx + c = 0

so, first take x to the right side

0 = x² - 20 - x

Now swap the equation,

x² - 20 - x = 0

put 'x' term in middle and constant term at last like this,

x² - x - 20 = 0

Hence, The equivalent equation to the given equation i.e, x = x² - 20 is  x² - x - 20 = 0

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Write a coordinate rule for the dilation.

Answers

Answer: 584390

Step-by-step explanation: the r4u819

Evaluate the expression when x =-4

Answers

Answer:

22. 2 (-4) = -8

23. (2(-4) + 11) = (-8 + 11) = 3

24. -3 (5 (-4) = -3 (-20) = 60

Answer:

  22.  8

  23.  3

  24.  -60

Step-by-step explanation:

You want the values of the given absolute value expressions when x = -4.

23. 2|x|

The absolute value function changes the sign to positive, if it isn't already.

  2|-4| = 2(4) = 8

24. |2x +11|

  |2(-4) +11| = |-8 +11| = |3| = 3

25. -3|5x|

  -3|5(-4)| = -3|-20| = -3(20) = -60

Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as its length and jointly as its width and the square of its height. Suppose also that a beam 5 inches wide, 2 inches high, and 10 feet long can support a maximum of 8 tons. What is the maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long?

Answers

The maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long is 3.33.

How to find the maximum weight ?

G = C×(w×h²/l)

Where,

C = constant

C = G×l/(w²h²)

Weight (w) = 6 in

Height (h) = 2 in

Length (l)= 10 ft

Maximum ton (G) = 8 t

C = 8×10/(6×2²)

C = 80/24

C = 10/3

G = (10/3)×(w×h²/l)

So, Maximum weight

G = (10/3)×(6×2²/24)

G = 10/3 t

G = 3.33 tones

The maximum weight is 3.33 tones.

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a- 10 units
b-12.0 units
c-11.4 units
d-13.4 units

Answers

Using the distance formula, the distance between the point is √130.

In the given question we have to find the distance between given point in the graph.

From the graph the given points are (4,4) and (-3, -5).

The formula for the distance between point is

Distance = √{x(2)-x(1)}^2+{y(2)-y(1)}^2

From the given points; x(1)=4, y(1)=4, x(2)= -3 and y(2)= -5.

Now putting the value:

Distance = √{-3-4}^2+{-5-4}^2

Distance = √{-7}^2+{-9}^2

Distance = √49+81

Distance = √130

The distance between the point is √130.

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Which graph represents the function f(x) = –|x + 3|?

Answers

Answer:

The answer would be A. (Not sure if its A B C or D question but I will have picture below)

Step-by-step explanation:

Hope this helps you! :))

Alma ran a marathon. The graph shows the distance she ran during the marathon. Use the drop-down menus to complete the statements based on the graph.

Answers

From the proportional relationship graphed, it is found that:

The labeled point means that in 2 hours she ran 16 miles.In 1 hour, Alma ran 8 miles.Her distance changed at a unit rate of 8 miles per hour, so Alma's speed was of 8 miles per hour.If Alma ran faster, the slope of the graph would be greater.

What is a proportional relationship?

A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0, meaning that the relationship passes through the origin.

When the two variables x and y are direct proportional, the output variable y is obtained multiplying the input variable x by the constant of proportionality k, according to the rule presented follows:

y = kx.

From point (2,16) in this problem, the constant is given as follows:

k = 16/2 = 8.

Hence the equation is:

y = 8x.

Meaning that her rate is of:

8 miles per hour.

If she ran faster, the slope = constant would increase, as it represents the velocity.

Missing Information

The problem is given by the image at the end of the answer.

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Use the diagram to complete the statement.

Answers

The value of the side CB in the right angled triangle is found as 4√2 units.

Describe the Pythagorean theorem?The Pythagoras theorem, commonly known as the Pythagorean theorem, says that if a triangle has a right angle (90 degrees), the square of the hypotenuse equals equal to the sum of a squares of the opposite two sides.It describes the connection between the three sides of such a right-angled triangle.

For the given question,

The diagram is given;

AB = 7 units.

AG = 3 units.

GB = 7 - 3 = 4 units.

GC = 4 units.

In right angled triangle GCB, apply Pythagorean theorem.

CB² = GB² + GC²

CB² = 4² + 4²

CB² = 2(4)²

Taking square root both side.

CB = 4√2

Thus, the value of the side CB in the right angled triangle is found as 4√2 units.

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1 A father is three times as old as his daughter. If the father is 31 years older than his daughter, what are their ages?

Answers

father age 46.5

daughter age 15.5

46.5 - 15.5 = 31

let o be the point of intersection for the diagnols of quadrilateral abcd prove that abcd could be a trapezoid (that is if it has one sides parallel) is Aaod = Aboc

Answers

From the given proof below, we have been able to show that quadrilateral ABCD is a Trapezoid.

How to identify a Trapezoid?

A trapezoid is also called a trapezium and it is characterized by four straight sides and one set of parallel sides. The parallel sides are referred to as the base, while the non-parallel sides are referred to as the legs.

We are told that;

O is the point of intersection for the diagonals of quadrilateral ABCD;

where;

AO/BO = CO/DO

This can also be expressed as;

AO/CO = BO/DO

Thus, if we create line OE to be parallel to DC which is OE || DC. Then it means that point E lies on BC.

Using the Basic Proportionality Theory, in ΔBDC, we can say that;

BO/OD = BE/EC ............................1

We are also given that:

AO/CO = BO/DO   ..........................2

Thus, from Equations 1 and 2, we have;

AO/CO = BE/EC

Using the converse form of the Basic Proportionality Theorem, we have;

OE || AB

Therefore, AB || OE || DC.

Therefore we can conclude that ABCD is a Trapezoid.

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add w and the sum of 9 and 4

Answers

The addition of w, 9 and 4 is (w+13).

According to the question,

We have the following information:

We need to add w, 9 and 4.

We already know that a variable can only be added or subtracted from the terms having the same variables. For example, 8x can only be added to 5x but not 5y.

So, in this case, w is the variable and it can not be added to any other term because the other two are whole numbers.

Now, the whole numbers can be easily added.

So, we have the following expression:

w+9+4

w+13

Hence, the addition of w, 9 and 4 is (w+13).

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How does knowing the x-intercepts and the vertex of a
function help you graph a quadratic function?

Answers

A graph of a quadratic function is a parabola, making an equation of a parabola with help of an x-intercept and vertex can be formed.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
With the help of the vertex and the x-intercept, the equation of the parabola can be formed which helps to graph a quadratic function because the equation of the parabola resembles the quadratic function,

Thus,  a graph of a quadratic function is a parabola, making an equation of a parabola with help of an x-intercept and vertex can be formed.

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Estimate 17.140 - 03.179 by first rounding each number to the nearest tenth.

Answers

Answer: 13.9

Step-by-step explanation:

17.140 rounded to the nearest tenth is 17.1

03.179 rounded to the nearest tenth is 3.2

17.1 - 3.2 = 13.9

It takes an older computer 3 times as long to send out a company's email as it does a newer computer. Working together, it takes the two computers 15 minutes to send out the email. How long will it take the older computer to send out the email on its own?

Answers

60 minutes will be taken by the older computer to send out the email on its own.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

one computer takes x minutes and the other takes 3x minutes

in 1 minute, they send (1/x) and (1/3x) of the total message

together, (15/x)+(15/3x)=1, the full message

multiply by 3x to clear fractions

45+15=3x

60=3x

Divide both sides by 3

20=x

So for older computer  60 minutes  it take to send out the email on its own.

Hence, 60 minutes will be taken by the older computer to send out the email on its own.

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liking those who share and validate our attitudes is best explained in terms of: the fact that physical attractiveness is generally of highest priority. the mere exposure effect. proximity. the fact that opposites don't usually attract in real life. The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 5y = 750 750 y(y 5) = 0 y(y 5) + 750 = 0 (y + 25)(y 30) = 0 The birth of the study of human relations within business organizations can be traced to?. Mrs Ali baked some cookies.She gave away 250 cookies and packed the remaining cookies into bags of 12.Each bag of cookies was sold for $8.She received $2016 from the sale of all bags of cookies.How many cookies did she bake at first? when does the hawthorne effect occur in a sociological study? a.) when participants do not provide informed consent for the study b.) when a study is a natural experiment rather than a lab experiment c.) when a study has an experimental group and a control group d.) when participants know they are being observed by a researcher desmond is working on a research paper about the 1936 presidential election, in which franklin d. roosevelt won a landslide victory over alf landon. he wants to include some firsthand accounts of the public's immediate reaction to roosevelts victory during the depression. which resource is most likely to provide the information desmond is looking for? a transformer has 880 turns and 62 turns for the primary and secondary respectively. with no load on the secondary and a primary voltage of 2058.06 v, what is the output voltage of the secondary? A hotel has a budget of $63,750 to repaint the lobby and some hotel rooms. The hotel spent $26,700 on painting the lobby. Each room costs $4,250 to paint. The inequality 26,700 + 4,250n $63,750 can be used to determine the number of rooms (n) the hotel can repaint.Which statement about the number of rooms that can be painted is true? A. The hotel can repaint 9 rooms. B. The minimum number of rooms that can be repainted is 2. C. The maximum number of rooms that can be repainted is 2. D. The hotel can repaint 2 rooms, but this number is neither the maximum nor the minimum. akayla has heard that the teachers are considering switching her to the gifted class. makayla decides to not try as hard, and begins answering questions incorrectly in class, on purpose, in order to be more like her friends. her behavior is an example of: How could the author change "The Yellow Wallpaper" to allow the reader toget more information about the narrator? a company plans to sell shares of a new issue, but only in the state of pennsylvania. in order to qualify for a registration exemption under rule 147, what percentage of the corporation's assets must be located in pennsylvania, or what percentage of its revenues must be derived from pennsylvania sources at the time of the offering? stephanie recently became a vegan, has been eating large quantities of green leafy vegetables and taking vitamin a supplements. the condition that she is most likely to develop is Name the Inequalities Write an inequality in slope intercept form from the linear inequality graphed below. Each night Liz spends at least 45 minutes and no more than 120 minutes on her phone.Choose which double inequality describes how long Liz spends on her phone each night. "n" will be used as your variable.pls help me its due today HELP!! WILL MARK BRAINLIEST!!What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form in the box. Cassidy has $425 in her savings account, and she has to pay $5 each month to her parents for her cell phone. Calvin has $95 and he saves $25 each month from his job walking dogs for his neighbor. At this rate, when will Cassidy and Calvin have the same amount of money? How much will they each have? Read the passage below, noting Paine's use of a common image as an analogy.That the crown is this overbearing part in the English constitution, needs not be mentioned, and that it derives its whole consequence merely from being the giver of places and pensions, is self-evident, wherefore, though we have been wise enough to shut and lock a door against absolute monarchy, we at the same time have been foolish enough to put the crown in possession of the key.What fact is Paine's image of a locked door and a key supposed to represent?A. Parliament's attempt to arrest the king will be unsuccessful.B. The king is living in a prison of his own making.C. Parliament only pretends to take part in governing England.D. The king can easily override any constitutional checks on his power. sociologist ralf dahrendorf expanded upon marx's notion of the bourgeoisie class to include which of the following groups 26% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive.