What is the slope of a line perpendicular to the line whose equation is 3x+3y=18. Fully simplify your answer.

The required volume of the given cylinder is 1005 ft³.

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid.

It is regarded as a prism with a circle as its base in basic geometry.

In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

So, the volume of cylinder formula:

V=πr²h

We have,

Height of 20 ft and diameter of 8 ft.

The radius will be 8/2 = 4 ft.

Now, calculate the volume as follows:

V=πr²h

V=π(4)²20

V=1005.30965

Rounding off: 1005 ft³

Therefore, the required volume of the given cylinder is 1005 ft³.

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Answer:

B

Step-by-step explanation:

The value of x will be;

⇒ x = 1

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3 (6x - 2) = 2 (3x + 3)

Now,

Since, The expression is,

⇒ 3 (6x - 2) = 2 (3x + 3)

Solve for x as;

⇒ 18x - 6 = 6x + 6

⇒ 18x - 6x = 6 + 6

⇒ 12x = 12

⇒ x = 12/12

⇒ x = 1

Thus, The value of x = 1

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Answer:

x = 1

Step-by-step explanation:

Given equation,

→ 3(6x - 2) = 2(3x + 3)

Now the value of x will be,

→ 3(6x - 2) = 2(3x + 3)

→ (3 × 6x) - (3 × 2) = (2 × 3x) + (2 × 3)

→ 18x - 6 = 6x + 6

→ 18x - 6 - 6x = 6

→ 12x = 6 + 6

→ 12x = 12

→ x = 12/12

→ [ x = 1 ]

Let's check the value of x,

→ 3(6x - 2) = 2(3x + 3)

→ 3(6(1) - 2) = 2(3(1) + 3)

→ 3(6 - 2) = 2(3 + 3)

→ 3 × 4 = 2 × 6

→ 12 = 12

→ [ LHS = RHS ]

Hence, the value of x is 1.

Answer:

the mark up is 2$

Step-by-step explanation:

each shirt was baught for 18$ divide 7200 by 400

Answer:

infinite solutions

Step-by-step explanation:

4x=2(2x-3)+6

4x=4x-6+6

4x=4x

these are the same lines so there are infinitely many solutions

hopes this helps

The second-smallest positive integer that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

Given that,

We have to find the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3.

We know that,

We get equations as

N = 3a + 2

N = 7b + 3

Subtracting these equations we have that

3a - 7b - 1  = 0

3a - 7b =  1

So,

a=12 and b=5

The second integer we get is 38

Therefore, the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

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Answer:

Read carefully each step for your fully understand it.

Step-by-step explanation:

To find the equation of a line that is perpendicular to the line y = 2x - 3 and contains the point (-5, 3), we need to find the slope of the perpendicular line.

To find the slope, we use the negative reciprocal of the slope of the given line. The slope of the given line is 2, so the slope of the perpendicular line is -1/2.

We can then use the point-slope formula to find the equation of the line that is perpendicular to y = 2x - 3 and contains the point (-5, 3).

The point-slope formula is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the values, we get:

y - 3 = -1/2 (x + 5)

We can then simplify this equation to get the final equation:

y = -1/2 x - 11/2

Therefore, the equation of the line that is perpendicular to y = 2x - 3 and contains the point (-5, 3) is y = -1/2 x - 11/2.

The number below the fraction bar is called the denominator .

In the question ,

it is asked about what is the below the bar part in a fraction called .

we know that the fraction has two parts ,

one above the bar and other below the bar .

the part above the bar is called numerator and

the part below the bar is called the denominator .

For Example ,

in the fraction 2/5 .

the number above the bar is 2 , So it will be the numerator and

the number below the bar is 5 , So, it will be the denominator .

Therefore , the number below is called the denominator .

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The graph of the piece-wise function containing Andres's data is given by the image at the end of the answer.

A piece-wise function is a function that has different definitions, based on it's input.

The variables in this problem are given as follows:

At 6 a.m., the temperature was 60° F, hence the intercept is of:

(0,60).

For the next 9 hours, the temperature rose 2° every 3 hours, hence a line is traced connecting these two points:

(0, 60) and (9, 66).

For the next 2 hours, it rose 2° per hour, hence these two points are connected:

(9, 66) and (11,70).

The temperature then stayed steady until 6 p.m, hence these two points are connected:

(11,70) and (12,70).

For the next 2 hours, the temperature dropped 1° per hour, hence the points at:

(12,70) and (14,68).

The temperature then dropped steadily until the temperature was 66° at midnight, then the points are:

(14,68) and (18,66).

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109.8

just took the quiz

The measure of <B is 41 degree.

The fundamental characteristics listed below make it simple to recognize parallel lines.

Given:

m<CEF = 145°

m<DCE = 104°

So, <FEC+ <CEB = 180 {Linear Pair}

<CEB = 180- 145

<CEB = 35 degree.

<BCA = < ECB= 104 {Vertically Opposite Angle}

Now, In ΔABC

< ABC+ <BAC + <CAB = 180

104+ 35 + <ABC = 180

<ABC = 180 - 139

m<ABC= 41 degree.

Hence, the measure of <B is 41 degree.

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To demonstrate that ΔKLM ≈ ΔEFG , we can use the SSS Similarity Theorem.

Given,

The ratio of the corresponding sides of the triangles ΔKLM  and ΔEFG;

KM/EG = 8/24 = 1/3

KL/EF = 6/18 = 1/3

ML/GF = 5/15 = 1/3

We have to prove that the triangles are similar using SSS or SAS similarity theorems;

SSS similarity theorem;

The two triangles are similar if all three sides of one triangle are in proportion to the three sides of another triangle.

SAS similarity theorem;

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

Here, the sides of the triangles are in proportion.

That is,

KM/EG = KL/EF = ML/GF = 1/3

Here,

We can consider SSS similarity theorem to prove that ΔKLM ≈ ΔEFG

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Answer:

Median: 8.15

Mean: 7.6

Mode: 10.1

Step-by-step explanation:

10.1, 12.3, 2.4, 10.1, 4.5, 6.2

2.4, 4.5, 6.2, 10.1, 10.1, 12.3

Median:

(6.2 + 10.1)/2 = 8.15

Mean:

2.4 + 4.5 + 6.2 + 10.1 + 10.1 + 12.3 = 45.6

45.6 / 6 = 7.6

Mode:

10.1

I hope this helps!

The function in the random library that generate a random integer from 0 to the parameter value inclusive is random.randint() function

Functions are another key idea in programming because they let you put a piece of code that performs a specific purpose inside a specified block and then call that code whenever you need it with a single, brief command rather than repeatedly typing the same code.

Code units that are "self contained" and carry out a particular purpose are called functions. Typically, functions "take in," "process," and "return" data and results. Once a function has been developed, it may be utilized countless times.

From the above definition, we get that

The  function in the random library will generate a random integer from 0 to the parameter value inclusive is  random.randint() function

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Answer:

The correct Answer is - :

16x¹⁰ + 121

The graph of the linear equation can be seen at the end, and:

a) f(-4) = 1

b) f(5) = -8

c) f(0) = -3

d) you need to circle the points (-3, 0) and (-10, 7)

Here we have the following linear function:

f(x) = -x - 3

We want to graph that line, but first let's evaluate as it asks in the steps below.

To evaluate the function, we only need to replace the variable x by the correspondent number.

a) f(-4)

Here just replace the variable x by the number -4, you will get:

f(-4) = -(-4) - 3

f(-4) = 4 - 3

f(-4) = 1

b) Here we will do the same thing:

f(5) = -5 - 3

c) f(0) = -0 - 3

f(0) = -3

d) To see which points are in the line, just replace the values of the point in the given equation. If the equation remains true, then the point is on the line.

For example, the first one (-3, 0) will give:

0 = -(-3) - 3

0 = 3 - 3

0 = 0

That equation is true, so the point is on the line.

The point (-10, 7) is also on the line:

7 = -(-10) - 3

7 = 10 - 3

7 = 7

Finally, let's do the graph.

Now you know that (-10, 7) and (-3, 0) are points on the line, you can graph these in the coordinate axis and connect them with a line.

the graph of the linear equation can be seen in the image below.

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Answer:

2,000 vs 200 is a big difference, the main reason being that ten 200s is equal to one 2000

Step-by-step explanation:

There are three type of bias occurs they are Sampling, record and Anchoring

What is meant by bias?

In general terms, bias refers the action of supporting or opposing a particular person or thing in an unfair way, because of allowing personal opinions to influence your judgment

Here we need to find the type of bias occurs when researchers fail to choose a representative sample of potential respondents.

The first type is, Sampling bias is the phenomenon that happens when a research take a look at layout fails to collect a representative sample of a goal populace and this generally happens due to the fact the selection standards for respondents failed to seize a wide enough sampling frame to represent all viewpoints.

Secondly, Records bias where happens at some stage in the information series step and is not unusual in studies studies that involve self-reporting and retrospective facts series and it may also result from bad interviewing strategies or differing tiers of recall from contributors. the primary types of records bias are: take into account bias.

Finally, Anchoring bias is a cognitive bias that reasons us to depend too heavily on the first piece of statistics we are given approximately a topic.

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Answer:

[tex]u(w(2) = 19[/tex]

Step-by-step explanation:

let's evaluate w(2) first

[tex]w(2) = - 2(2) {}^{2} - 1 = - 9[/tex]

at this point let's replace thia value in u(x)

[tex]u( - 9) = - 2( - 9) + 1 = 19[/tex]

A system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased are as follows;

Let S = number of bottles of soda.

Let J = number of bottles of juice.

System of Equations:

30S + 40J = 430

J = 2 + S  

In order to write a system of linear equations to describe this situation, we would assign variables to the number of bottles of soda and number of bottles of juice respectively, and then translate the word problem into algebraic equation as follows:

Since each bottle of soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar with both of them having a sum total of 430 grams of sugar, we have the following equation:

30S + 40J = 430              .....equation 1.

Wyatt purchased 2 more bottles of juice than bottles of soda;

J = 2 + S                            .....equation 2.

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The number of gray squares for 15 white squares based on the given ratio will be 25.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Number of white squares = 3

Number of gray squares = 5

The ratio of gray squares to white = 5/3

With maintaining the same ratio,

Let's say the number of gray squares for 15 white squares will be x.

The ratio of gray squares to white will be as x/15

Both ratios must be the same for the same pattern.

x/15 = 5/3

x = (5/3)15 = 25

Hence "On the basis of the specified ratio, there will be 25 gray squares for every 15 white squares.".

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Answer:

x = - 10

Step-by-step explanation:

2(x + 3) = x - 4 ← distribute parenthesis on left side

2x + 6 = x - 4 ( subtract x from both sides )

x + 6 = - 4 ( subtract 6 from both sides )

x = - 10

Answer:

-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

2x-x=(-4)-6

x=-10

Hence the answer is -10

The function's domain are {4.1, -2, -2.5, -4} and range are {1.1, 2, 3, 0}.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

From the given graph, we have (4.1, 1.1), (-2, 2), (-2.5, 3), (-4, 0)

The domain of functions are={4.1, -2, -2.5, -4}

The range of functions are={1.1, 2, 3, 0}

Therefore, the function's domain are {4.1, -2, -2.5, -4} and range are {1.1, 2, 3, 0}.

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The fraction of chocolate left in the box is [tex]\frac{1}{6}[/tex].

A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.

Given:

Andrew eat = 1/3 of the chocolate,

Jame eats =2/5 of the chocolate

Jenny eat =1/10 of the chocolate

According to the question,

Let the total chocolate = 1

Therefore as per the question,

Chocolate left = 1 – [1/3+2/5+1/10]

[tex]=1- [\frac{1}{3} +\frac{2}{5} +\frac{1}{10} ]\\=1 - [ \frac{10 + 12+3}{30} \\=1-\frac{25}{30} \\= 1 - \frac{5}{6} \\\\= \frac{1}{6}[/tex]

Threfore, the Fraction of chocolate left in box is [tex]\frac{1}{6}[/tex].

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Answer:

442 ÷ (12+5) = 26

26 × 12 = 312, 312 ppl think yoda was cuter

26 × 5= 130, 130 ppl think Porg was cuter

Answer:

3,398.7 square centimeters.

Step-by-step explanation:

The area of a square is the square of the side length, so the ratio of the areas of the mirrors is equal to the ratio of the side lengths squared. If the ratio of the side lengths of Mirror A to Mirror B is 5:6, then the ratio of the side lengths squared is 5^2:6^2 = 25:36. This means that the ratio of the areas of Mirror B to Mirror C is 25:36.

The ratio of the areas of Mirror B to Mirror C is 25:36, and the ratio of the areas of Mirror B to Mirror C is 16:25, so 25:36 = 16:25. This means that the ratio of the areas of Mirror B to Mirror C is 1:1.5.

The perimeter of Mirror C is 280 centimeters, which means that each side has a length of 280/4 = <<280/4=70>>70 centimeters. The area of Mirror C is the square of this side length, or 70^2 = <<70^2=4900>>4900 square centimeters.

Since the ratio of the areas of Mirror B to Mirror C is 1:1.5, the area of Mirror B is 1.5 times the area of Mirror C, or 1.54900 = <<1.54900=7350>>7350 square centimeters.

The ratio of the side lengths of Mirror A to Mirror B is 5:6, so the side length of Mirror A is 5/670 = <<5/670=58.333>>58.333 centimeters. The area of Mirror A is the square of this side length, or 58.333^2 = <<58.333^2=3398.68>>3398.68 square centimeters. Rounding to the nearest tenth of a centimeter, the area of Mirror A is 3398.7 square centimeters. Answer: {3,398.7}.

As per the concept of regression, the best predicted value of given that the has an IQ is 106.2

What is meant by regression?

In math, regression refers a powerful statistical method that allows you to examine the relationship between two or more variables of interest

Here we have given that suppose IQ scores were obtained for randomly selected sets of . The pairs of measurements yield , , r , P-value 0.000, and , where x represents the IQ score of the .

And we need to find the best predicted value of given that the has an IQ.

While we looking into the given question we know that the a significance level is 0.05.

Then by using regression equation

=> ŷ=14.68+0.88x​

And now we have to plug in IQ, which is x

=> 14.68 + 0.88(104)

=> 106.2

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Equation of the line  that passes through the midpoint and is perpendicular to PQ is 2x - y +1 = 0.

One way to describe a perpendicular bisector is as a line segment that cuts through another line segment at a 90 degree angle. Simply said, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle. Measuring a line segment that needs to be bisected will help you discover a perpendicular bisector.

The midway of the measured length can then be determined by dividing it by two. From this center, extend a line at a 90-degree angle. All you need to do to determine the perpendicular bisector of two points is to discover their midpoint and negative reciprocal, then enter these results into the slope-intercept form of the equation for a line.

Here points are P( -4 ,3 ) and Q ( 4,-1)

Mid -point of PQ :

[tex]=(\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )\\\\=(\frac{-4+4}{2} ,\frac{3-1}{2} )\\\\=(0,1)\\[/tex]

Slope of PQ:

[tex]m = \frac{y_{2}{-y_{1} } }{x_{2}{-x_{1} }} \\\\m =\frac{-1-3}{4+4}\\\\ m= \frac{-4}{8} \\\\m = \frac{-1}{2}[/tex]

The slope of the line is Perpendicular to PQ

so, slope 2= -1/m

slope 2 = -1/(-1/2)

slope 2 = 2

Equation of the line  that passes through the midpoint and is perpendicular to PQ

[tex]y-y_{1} =m(x-x_{1}) \\y-1 =2(x-0}) \\\\y-1=2x\\[/tex]

2x - y +1 = 0.

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Correct Question:

Find the midpoint of PQ with endpoints P (-4, 3) and Q (4,-1) . Then write an equation of the line that passes through the midpoint and is perpendicular to PQ. This line is called the perpendicular bisector.

Answer:

w = 39

Step-by-step explanation:

3w + 9 + 2w - 24 = 180 , that is

5w - 15 = 180 ( add 15 to both sides )

5w = 195 ( divide both sides by 5 )

w = 39