One liter is approximately 1.06 quarts. Write a direct variation equation that relates x liters to y quarts. what is an equation

Answers

Answer 1

For this case what we should do is write an equation of the form:
y = k * x
Where,
k: proportionality constant.
We have then that the equation for this case is:
y = 1.06 * x
That is to say:
k = 1.06
Answer:
an equation is:
y = 1.06 * x

Related Questions

Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none. please help asap

Answers

None, the last choice since the angles given only relate to one common large angle.

Answer:

option C

Step-by-step explanation:

In the figure attached, the given quadrilateral will be parallelogram if the given angles ∠7 = ∠3 and ∠8 = ∠4 ( alternate angles ) or ∠1 = ∠5 and ∠2 = ∠6 ( alternate angle )

But the given angles are ∠7 and ∠8 which represent a big angle A when combined.

Therefore, option C none will be the answer.

laissez faire is the term used to describe a capitalist economy without any regulations

Answers

Not really, it has regulations. Only difference is the power is among the people instead of having a single ruler or governing body

Information about Laissez-faire's economy is given.

What is a Laissez-faire economy?

Laissez-faire is a free-market, capitalist economic theory that rejects government interference. The French Physiocrats, who lived in the 18th century, created the laissez-faire ideology. According to proponents of laissez-faire, government involvement in industry and markets hinders economic progress.

Laissez-Faire capitalism allowed businesses to pursue just their financial goals without having to worry about restrictions from the state or taxes. Naturally, this might induce unfavorable externalities and knowledge asymmetries that could enable producers to act badly and get away with it. Laissez-Faire proponents contend that since the market would eliminate such undesirable actors, extensive and expensive regulation is not necessary. However, in practice, negative actors might carry on their operations for a very long time. Without government testing and regulatory oversight to safeguard consumers, for instance, it could not be known if a vitamin manufacturer is putting sawdust in place of herb powder in their capsules.

Therefore, In real world the laissez-faire is a capitalist economy have regulations.

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Verify the identity.

tan x plus pi divided by two = -cot x

Answers

recall that sin(π/2) = 1, and cos(π/2) = 0,

[tex]\bf \textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\ sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta) \\\\ cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta) \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)\\\\ -------------------------------\\\\ [/tex]

[tex]\bf tan\left(x+\frac{\pi }{2} \right)=-cot(x)\\\\ -------------------------------\\\\ tan\left(x+\frac{\pi }{2} \right)\implies \cfrac{sin\left(x+\frac{\pi }{2} \right)}{cos\left(x+\frac{\pi }{2} \right)} \\\\\\ \cfrac{sin(x)cos\left(\frac{\pi }{2} \right)+cos(x)sin\left(\frac{\pi }{2} \right)}{cos(x)cos\left(\frac{\pi }{2} \right)-sin(x)sin\left(\frac{\pi }{2} \right)}\implies \cfrac{sin(x)\cdot 0~~+~~cos(x)\cdot 1}{cos(x)\cdot 0~~-~~sin(x)\cdot 1} \\\\\\ \cfrac{cos(x)}{-sin(x)}\implies -cot(x)[/tex]

Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.

What is the volume of Prism B?

260 cm³

520 cm³

1040 cm³

16,640 cm³

Answers

Given data:

Volume of the prism A = 2080 [tex]c m^{3} [/tex]

Let us find the ratio of the volume of prisms given in the diagram:
[tex] \frac{ V_{A}}{V_{B}} = \frac{8^{3}}{4^{3}} [/tex]
[tex] \frac{ V_{A}}{V_{B}} = 8 [/tex]

Since the condition is:
The volume of Prism A = The volume of Prism B
Therefore,
The ratio of their volumes should be 8.
[tex] \frac{ V_{A}}{V_{B}} =8 [/tex]

Since Volume of A = 2080 [tex]cm^{3} [/tex]

Plug-in the value, you would get:

[tex] \frac{2080}{8}} = V_{B}[/tex]

Ans: Volume of B = 260 [tex]cm^{3} [/tex]

The volume of prism B is [tex]\rm 260 \; cm^3[/tex] and this can be determined by taking the ratio of the volume of both the prism.

Given :

Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.

To determine the volume of prism B, first determine the ratio of the volume of prism A to the volume of prism B that is:

[tex]\rm \dfrac{V_A}{V_B}=\dfrac{8^3}{4^3}[/tex]

[tex]\rm \dfrac{V_A}{V_B}=8[/tex]

Now, put the value of the volume of prism A in the above expression.

[tex]\rm \dfrac{2080}{V_B} = 8[/tex]

Divide 2080 by 8 in the above equation.

[tex]\rm V_B = \dfrac{2080}{8}[/tex]

[tex]\rm V_B = 260\;cm^3[/tex]

So, the volume of prism B is [tex]\rm 260 \; cm^3[/tex].

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Solve the following automotive-services problem.
Resistance = 0.1 ohm
Current = 60 amps
Voltage = ______ ?
A. 0.6
B. 6 60
C. 600

Answers

0.6 i hope this is theanswwerf 2etrjfghure

A. 0.6 is the answer

A local magazine is offering a $2,500 grand prize to one lucky winner. $1,000 will be paid on the day of the drawing. the remaining $1,500 will be paid in three annual payments of $500 each, starting one year after the drawing. how much would this prize be worth to you if you can earn 9 percent on your money?

Answers

This problem considers simple interest formula. It is:
[tex]A=I*( 1+ \frac{r}{100} )^{n} [/tex]
Where
A= total amount after some time
I = initial amount
r = rate
n = number of years

Total prize we will receive is:
Total = $1000 + $500 after one year + $500 after two years + $500 after three years.

Now we need to calculate how much we will earn after each year:
Year 1:
[tex]A=500* (1+ \frac{9}{100})^{1} = 545[/tex]
Year 2:
[tex]A=500* (1+ \frac{9}{100})^{2} = 594,05[/tex]
Year 3:
[tex]A=500* (1+ \frac{9}{100})^{3} = 647,51[/tex]

So total amount is:
Total = $10000 + $545 + $594,05 + $647,51
Total = $2786,56

Which quadratic regression equation best fits the data set?

Answers

The 4th selection is appropriate.

_____
Desmos.com has a wonderful graphing calculator. They also have apps for Android and iOS phones and tablets. Of course, your TI-83/84 or equivalent will do this, too.

Answer:

D. [tex]y=1.87x^2-5.16x+10.54[/tex]

Step-by-step explanation:

The data set is given by,

x y

1 5.9

2 8.9

3 13.4

4 20.1

5 30.1

6 45.1

7 67.7

Using the regression calculator, we see that,

The quadratic equation that best fits the data is [tex]y=1.87x^2-5.16x+10.54[/tex] as shown below.

Thus, option D is correct.

The histogram represents the distributions of rain amounts in two cities. Which best explains how the histogram is useful for comparing the shapes of the data sets? It is easier to visually compare the means of the data. It is easier to visually compare the standard deviations of the data. It is easier to visually compare the medians of the data. It is easier to visually compare symmetry and skew of the data.

Answers

It is easier to visually compare symmetry and skew of the data.

Answer:

It is easier to visually compare symmetry and skew of the data.

Step-by-step explanation:

Given that the histogram represents the distributions of rain amounts in two cities.

Histogram enables us to have a visual idea easily understandable about the pattern of the distribution.

The important points are whether the distribution is symmetrical or right/left skewed.

Mean, median, std deviations cannot be found easily by justing seeing the histograms.

Hence correct answer is

It is easier to visually compare symmetry and skew of the data.

I need help!!!! Please if you get it right i will mark you brainliest!

Answers

if both are negative then it is located on the 3rd quadrant

hope this helps

An example of a point that has x < 0 and y < 0 is (-1,-1).
(-1,-1) would lie in Quadrant III (3).

So, if x < 0 and y < 0, the point (x,y) would be located in Quadrant III.

someone pleaseeeeeeeeee help me!

1. Displacement vectors of 5 km north, 3 km east, 2 km south, and 3 km west combine to a total displacement of

3 km north.
13 km west.
0 km.
2 km south.

Answers

3 km north.
the east and west cancel out and the 5 north being greater than the two south leave you to only have to subtract the 2 south from the 5 north

3 km north
Just add the vectors together. Consider north to be positive, south to be negative, west to be positive, and east to be negative. Just remember to keep north/south and east/west separate from each other. So let's start with 0 north, 0 west.
Add 5 km north. So 0 + 5 = 5, giving us 5 north, 0 west.
Add 3 km east. So 0 - 3 = -3, giving us 5 north, -3 west (or 3 east).
Add 2 km south. So 5 - 2 = 3, giving us 3 north, -3 west (or 3 east)
Add 3 km west. So -3 + 3 = 0, giving us 3 north, 0 west
We can ignore the 0 west, and as a result we're 3 km north of where we originally started. So the total displacement is "3 km north"

The area of a triangle is 36 square meters. The base is 1 meter less than the height. What is the height of the triangle?

Answers

area = 1/2 * base * height = 1/2 b h

b = h - 1 so:-

36 = 1/2 * h * (h - 1)
h(h - 1) = 72
h^2 - h - 72 = 0
(h - 9)(h + 8)

so h = 9 or -8 ( height cannot be negative so h = 9

Answer is 9 meters

I Put 45 Points!!

Use what you have learned from this chapter to make a model boat out of a 10-cm square piece of foil. Test your model boat in a tank of water to see how many pennies it can support before sinking. Compare the performance of your boat with those of your classmates. Suggest several design improvements based on your results. Respond to at least one other students posting giving suggestions on how the model of their boat or yours could be improved to increase buoyancy.

Answers

So basically they are asking you to make a model boat out of a 10-cm square piece of foil, according to what it says in the book you have read.

Then just follow the instructions they give to you, like so:

1. Test your model boat in a tank of water to see how many pennies it can support before sinking.

Then, after you do that (theres no need to record a video or take a picture thats up to you) all you have to do is:

Talk about how the model of your boat could be improved, or made better to one of your classmates (but post it on the discussion board)

What is the slope of any line parallel to y = 4x + 17

Answers

This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Also, slopes of parallel lines are the same.

In this equation, m = 4. So, the slope of any line parallel to y = 4x + 17 is 4.

Hope this helps! (:

Answer:
Slope of any line parallel to the given line is 4

Explanation:
The general form of the linear line is:
y = mx + c where m is the slope
The given line is:
y = 4x + 17
Comparing the given line with the general formula, we would find that:
slope of the line (m1) = 4

Now, for any two lines to be parallel, their slopes must be equal.
This means that:
m1 = m2
We have m1 = 4, therefore:
m2 = 4 for the two lines to be parallel.

Hope this helps :)

Roger counted the kids in the cafeteria on Monday. There were 9 tables of 10 kids at the start of lunch. In the middle of lunch, 4 kids came in and sat down. How many kids were in the cafeteria then?

Answers

9*10=90+4= 94 kids total then.

94 kids is the answer

Can someone help me with this problem?

Answers

5/7, I don't know what that is as a decimal, but I hope it helps

120 / 840 which equals 0.1429 (Rounded to 4 d.p)

A company is selecting students for interviews at the career fair. The number of students selected from university A is given by f(x) = 4x + 5, where x represents the number of days of the fair. The number of students selected from university B is given by g(x) = 2x + 8. Which function best describes the total number of students selected at the career fair?
a. h(x) = (4x + 5)(2x + 8)
b. h(x) = 2x - 3
c. h(x) = -2x + 3
d. h(x) = 6x + 13

Answers

Number of students selected from University A:
f(x)=4x+5
Number of students selected from University B:
g(x)=2x+8

So total number of students selected from both universities:
h(x)= f(x)+g(x)
Put values
h(x)=4x+5+2x+8
h(x)=6x+13

Option D is correct.

Answer:

B, for plato students that is

Step-by-step explanation:

Arthur buys a zero coupon bond with a face value of $5000 for $4000. The bond has five years until it matures. How much would Arthur earn if he holds this bond to maturity?

Answers

Answer: $1,000

Explanation:

In bonds, the face value is the value of bond when it is held to maturity. Since the face of the bond is $5,000, the value of Arthur's bond when he holds it until maturity is $5,000.

To get Arthur's earnings by holding his bond until maturity, we subtract the face value to the amount he paid for the bond. Since the face value is $5,000 and he paid $4,000 for that bond, he earned $1,000 for the bond because $5,000 - $4,000 = $1,000.

How do you Simplify a4 x a5

Answers

Add the powers - a^9, in this case.

The simplification of the given expression by the law of indices will be a⁹.

What is the law of indices?

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In other words, the mathematics of power or exponent of any number is called indices.

Another example could be 7² = 7³/7 here we divide to obtain power 2.

As per the given expression,

a⁴ × a⁵

By the law of indices that [tex]a^{m} \times a^{n} = a^{m+n}[/tex].

a⁴ × a⁵ = a⁽⁴ ⁺ ⁵⁾ = a⁹

Hence "The simplification of the given expression by the law of indices will be a⁹".

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Continue the following pattern; describe the eighth figure in this pattern

Answers

Answer:

The Eighth Figure would be an 8 by 8 square with 64 small squares

Step-by-step explanation:

The Figures shown in the picture are following a fairly simple pattern. Each variation is adding 1 row and 1 column of squares. Variation 4 has a 4 by 4 square with 16 small square (4*4 = 16). If we continue with pattern then variation 8 will be an 8 by 8 square with 64 smaller squares inside it (8*8 = 64)

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

What’s one way we can check our answer to 2x10=20

Answers

You can divide 20 by 10 and you should get 2, or do 20 divided by 2 and get 10.

2 x 10 = 20

to check:
20 ÷ 10 = 2
20 ÷ 2 = 10

Hope this helps :)

The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct?

Answers

ANSWER : C (3rd option)

Kevin is incorrect because 3:5 may be a simplified ratio.

Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.

Given that,
The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct is to be determined,

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here, the ratio of girls to boys is 3:5, Which implies there are 3 girls over 5 boys in the number, This is the simplified ratio of the girls to boys of the students in the class. So, Kevin says there must be 8 students in the classroom which is right, but Kevin does not explain the proportion in his statement,

Thus, Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.

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Bob is building a wooden cabin. The cabin is 303030 meters wide. He obtained a bunch of 171717 meters long wooden beams for the roof of the cabin. Naturally, he wants to place the roof beams in such an angle that each pair of opposite beams would meet exactly in the middle. What is the angle of elevation, in degrees, of the roof beams

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The width of the room is 30 meters.

If two beams will be making an angle, they will half the width.

There will be a right triangle made, so using SOH CAH TOA,

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

[tex]cos x=\frac{15}{17}[/tex]

taking cos inverse

x = [tex]cos^{-1} (\frac{15}{17} )[/tex]

x = 28.07° : Answer

Hope it will help :)

Answer:

28.07

Step-by-step explanation:

Credit to first said it

Need a smart person fast!

Quadrilateral JPRA is similar to quadrilateral KDEW . PR=27 mm , DE=15 mm , and WE=25 mm .

What is AR ?

Answers

27/15=1.8 therefore x/25 must equal 1.8 so 1.8*25=45 then check work 45/25=1.8 so answer is 45.

Final answer:

To find AR in quadrilateral JPRA similar to quadrilateral KDEW, use the concept of similar triangles to determine AR = 45 mm.

Explanation:

To find AR in quadrilateral JPRA that is similar to quadrilateral KDEW, we can use the concept of similar triangles.

Calculate the scale factor between the two quadrilaterals: PR/DE = AR/WE

Substitute the known values: 27/15 = AR/25 and solve for AR which gives AR = 45 mm.

Find the dimensions of a rectangle whose perimeter is 24 feet and whose area is 27 square feet.

Answers

The Dimensions are 3ft x 9ft

On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. How much money did Mrs. Wise spend on apples on Tuesday?

Answers

[tex]0.80 \times 4 = 3.2[/tex]
find 80% (20% less) of 4

[tex]3.2 \times 5 [/tex]
multiply the reduced price by the number of lbs she bought.

Write the expression-3x2+2y2+5xy-2y+5x2-3y2 in simplest form A how many terms are in the simplified expression? B how many terms in the simplified expression negative

Answers

If the twos mean squared...
2x^2-y^2+5xy-2y

4 terms

A) There are 3 terms in the simplified expression. B) There are 2 terms in the simplified expression that are negative.

First, let's combine the terms that are alike. We can combine the [tex]x^2[/tex] terms and the [tex]y^2[/tex] terms:

(-3 [tex]x^2[/tex] + 5 [tex]x^2[/tex] ) + (2 [tex]y^2[/tex]- 3 [tex]y^2[/tex]) + 5xy - 2y

This gives us:

2 [tex]x^2[/tex] - [tex]y^2[/tex]+ 5xy - 2y

We can then combine the xy and y terms:

2 [tex]x^2[/tex] - ( [tex]y^2[/tex]+ 2y)

This gives us:

2 [tex]x^2[/tex] - [tex]y^2[/tex]- 2y

So, the simplified expression is 2 [tex]x^2[/tex] - [tex]y^2[/tex]- 2y.

There are 3 terms in the simplified expression.

There are 2 terms in the simplified expression that are negative.

Here is a breakdown of the steps involved in simplifying the expression:

Combine the [tex]x^2[/tex] terms and the [tex]y^2[/tex] terms.

Combine the xy and y terms.

Check to make sure that there are no common factors that can be canceled.

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Zaira spent 55 hours in 2 weeks working on a science project. she worked 32 hours the first week. Write and solve an addition equation to find the amount of time she spent working the second week.

Answers

If x is work in the 2nd week, 32 + x = 55. Subtract 32 from both sides to get x = 23.

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

Answers

Answer:

-12 and 2

Step-by-step explanation:

[tex]x^2+10x=24\\[/tex]

[tex]x^2+2*5*x=24[/tex]

[tex]x^2+2*5*x+5^2-5^2=24[/tex]

[tex](x^2+2*5*x+5^2)-5^2=24[/tex]

Using the identity

[tex]a^2+2*a*b+b^2 = (a+b)^2[/tex]

we get

[tex](x+5)^2-5^2=24[/tex]

[tex](x+5)^2-25=24\\[/tex]

[tex](x+5)^2=24+25\\(x+5)^2=49\\(x+5)=+7 \\or (x+5)=-7\\[/tex]

Solving both of them we get

x=-12 or x=2

I NEED HELP ASAP Use the Law of Detachment or the Law of Syllogism to draw a conclusion. 3. If Shauna is early for her meeting, she will gain a promotion. If Shauna wakes up early, she will be early for her meeting. Shauna wakes up early.

Answers

W = Shauna wakes up early
M = Shauna is early for her Meeting
P = Shauna gains a promotion

1. M -> P
2. W -> M
3. W
: . P

3500 calories for 6 servings of pie how many calories per serving

Answers

583.33 its just 3500 divided by 6

3500 colories divided by 6 servings of pie
3500/6
=583.33

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