The radius of a cylindrical construction pipe is 2.5 ft . If the pipe is 28 ft long, what is its volume?
Use the value 3.14 for pi , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answer:

Lisa is 8 years old.

Step-by-step explanation:

If Lisa's father is 42, then we can easily find out what Lisa's age is from the problem. We simply just have to create an equation and then solve it.

The equation:

5x + 2 = 42

Solving said equation:

5x = 42 - 2

5x/5 = 40/5

x = 8

What you do to one side, must be done to the other.

Hope this helps!

Using percentage to determine the ounce of iceberg lettuce in the salad from the pie chart, we have 15.2 ounces

A pie chart is a circular chart that is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice (and consequently its central angle and area), is proportional to the quantity it represents. Pie charts are very useful for displaying data and are most commonly used to show percentages or proportional values of different categories relative to the whole.

We can use the concept of percentage to determine the number of ounces of iceberg lettuce present.

In the pie chart, the percentage of ice berg lettuce is 40% and the quantity of salad bought is 38 ounce

40 / 100 = x / 38

0.4 = x / 38

x = 38 * 0.4

x = 15.2 ounces

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The correct statement is (D) at every vertex.

The vertex of a triangle is the intersection of two sides. Vertices is the term used to describe objects with several vertices.

The ability to write an equation for a line given two points is a prerequisite. The intersection of two lines will then need to be solved, which will give you the intersection's coordinates.

One of the triangle's vertices is at this intersection of two lines.

So, we know that 4 triangles are joined to make them horizontal.

This can be done when the vertex is attached to all 4 triangles.

Then, statement (D) will be a correct statement.

Therefore, the correct statement is (D) at every vertex.

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Answer:

1080 / 17

Step-by-step explanation:

270 divided by 4.25 = 27000 ÷ 425

= [tex]\frac{27000}{425}[/tex] = [tex]\frac{1080}{17}[/tex]

The correct option is (B) The line that can be drawn through points D and E is contained in plane Y.

A point is a location in space. It has neither shape nor size. A line is a connected set of points that extends infinitely in two directions. A plane can be defined by three noncollinear points, two parallel lines, or two intersecting lines.

The planes X and Y and points C, D, E and F are shown in the given figure.

We are to select the TRUE statement about the points and the planes.

We know that, if two points lie in a plane, then the line drawn through the points will contain in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contain in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contain in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is, The line that can be drawn through points D and E is contained in plane Y.

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Therefore , the solution of the given problem of algebraic comes out to

be 9y⁴ /z³ - 3zy⁴.

Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we use numbers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we use variables such as x, y, and z in addition to numbers.

Here,

Given:

=> (36z²y⁶ - 12z⁶y⁶) / 4z⁵y²

=> 9y⁴ /z³ - 3zy⁴

thus , we get the solution for the given algebraic expression.

Therefore , the solution of the given problem of algebraic comes out to

be 9y⁴ /z³ - 3zy⁴.

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When it is assumed that y is directly proportional to x, the variational constant is -4.

A variation is a relationship between a set of values for one variable and another set of values. direct change. If m is a nonzero constant and b = 0, the function y = mx (commonly written y = kx) that results from the equation y = mx + b is known as a direct variation. Variation Theory is a broad theory of learning that is mostly applied in mathematics teaching and pedagogy. It highlights a concept's key components by concentrating on what remains the same and what changes, which creates the possibility for meaningful connections.

given

If y and x are directly proportionate, we would write:

If we include the proportionality constant, or variation, k, we get: y = kx

Any ordered pair from the table can be used to determine the value of y when x=1. y = -4 = k (1) k = -4

When it is assumed that y is directly proportional to x, the variational constant is -4.

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X2 = 175 Sofia needed a certain grade on Exam B to perform at the same level as she did on Exam A.

Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high. The dispersion of the data around the mean value is measured by the standard deviation. It might be helpful when comparing data sets that may have the same mean but a different range. The means of the two numbers 15, 15, 15, 14, 16, and 2, 7, 14, 22, 30 are the same, for instance. The second, though, is unmistakably wider.

given

X1

u1 = 400             u2 = 100

20                          25

X2

Z1 score = Z2 score

X1 - u1 / 20    =    X2 - u2 / 25

460 - 400 / 20   =  X2 -100 / 25

3 = X2 - 100 /25

X2 = 175 score on exam b

X2 = 175 Sofia needed a certain grade on Exam B to perform at the same level as she did on Exam A.

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The sum of the lengths of any two sides of a triangle must exceed the length of the third side; therefore, 5+7 > x, which cannot happen if x = 13.

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Answer:

(1.5 , -5.5)

Step-by-step explanation:

  (9 , -8)    ;  x₁ = 9  & y₁ = -8

  (-6 , -3)   ;  x₂= -6  & y₂ = -3

   [tex]\sf \boxed{\bf Midpoint= \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]

                      [tex]\sf = \left(\dfrac{9-6}{2},\dfrac{-8-3}{2}\right)\\\\\\=\left(\dfrac{3}{2},\dfrac{-11}{2}\right)\\\\\\=(1.5, -5.5)[/tex]

The total number of votes is given as 10212

The total number of votes that would be in the city is given as 7400.

How to find the total number of votes

The ratio of votes is in terms of yes to no

This is 7 : 5

Given that the number of no votes is 4255, we can use this number in order to find the yes votes.

7 + 5 = 12

there were 4255 no votes.

we would have:

(5 / 12 )x=  4255

5x = 12 * 4255

5x = 51060

x = 10212

The total number of votes is given as 10212

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Answer:

AB ≈ 5.2

Step-by-step explanation:

given ∠ CAD = ∠ BAD = Θ

then AD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is

[tex]\frac{BD}{CD}[/tex] = [tex]\frac{AB}{AC}[/tex] ( substitute values )

[tex]\frac{4.1}{4.3}[/tex] = [tex]\frac{AB}{5.5}[/tex] ( cross- multiply )

4.,3 AB = 4.1 × 5.5 = 22.55 ( divide both sides by 4.3 )

AB ≈ 5.2 ( to one decimal place )

If a milk truck delivers 459 dozen gallons of milk to stores in 1 day. the equation to show the quantity of milk delivered in one day is

and the amount of milk delivered in one day is

The information necessary to find the quantity of milk delivered in one day is that 1 dozen is equal to 12 pieces

The total number of gallons of milk delivered

the equation is 459x

where x represents number in a dozen

amount delivered

= 12 * 459

= 5508 gallons of milks

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Answer:

-15ft

Step-by-step explanation:

Answer: - 26

-31 + 5 = -26

The table including relative frequencies based on the frequency distributions is as follows:

Tar(mg)           Relative frequency              Relative frequency

                           (Nonfiltered)                           (Filtered)

3-8                              0%                                          4%

9-14                             0%                                         12%

15-20                          4%                                         24%

21-26                          0%                                         60%

27-32                         56%                                        0%

33-38                         28%                                        0%

39-44                         12%                                         0%

Yes, the cigarette filters appear to be effective.

What are relative frequencies?

The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency.

Tar(mg)   Frequency      Relative          Frequency       Relative

                                       frequency                                 frequency

                           (Nonfiltered)                           (Filtered)

3-8                  0                     0%                     1                       4%

9-14                0                     0%                     3                     12%

15-20              1                     4%                      6                    24%

21-26              0                    0%                     15                   60%

27-32            14                  56%                      0                     0%

33-38             7                  28%                       0                     0%

39-44             3                  12%                        0                     0%

Hence, the cigarette filters appear to be effective because the relative frequency of the higher tar classes is greater for non filtered cigarettes.

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Answer:

(A) -5 hr 51 mins (B) 7:51 am/pm

Step-by-step explanation:

(A):

  6 hr  51 mins

-

  11 hr  0 mins

___________

-5 hr   51 mins

(B):

6 hr 51 mins - 11 hr 0 mins = 18 hr 51 mins - 11 hr 0 mins = 7 hr 51 mins am/pm or 7:51 am/pm.

Hope this helps!

P.S. Feel free to suggest any edits.

The scale factor used in the dilation of the triangle ABC is 3.

Dilation is a method for generating analogous figures decreasing or increasing their dimensions by some scaling factors.

By dividing distances by the scale factor, each point is stretched outward from the central point D if the scaling factor is more than 1 or inwards if the scale factor is less than 1.

Considering the triangle ABC:

The length of the side AB is 2 units

Compared with triangle DEF, the length of the similar side DE is 6 units

The scaling factor = length of side DE /length of the side AB

The scaling factor = 6 / 2

The scaling factor = 3

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The 3 coordinate systems you use for Auto CAD drawings are the Absolute coordinate system, Relative Rectangular coordinate system, and Relative Polar coordinate system.

Absolute Coordinates use the Cartesian System to specify a position in the X, Y, and Z axes to locate a point from the 0 and X, 0 and Y, and 0 and Z (0,0,0) points.

The relative coordinate started with the symbol telling Auto CAD it was a relative coordinate. Using relative coordinate points entered by typing x,y.

Polar coordinates are used when you need to draw the next points at a specific angle. The polar coordinates system in Auto CAD specifies the distance length at which angle. Using polar coordinate points entered by typing distance<angle.

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Rounding to the nearest tenth: x = 7.6

What is an angle bisector?

An angle bisector is a line or segment that divides an angle into two congruent angles. It is called an angle bisector because it bisects, or cuts in half, the measure of the angle. An angle bisector can also divide the angle into two angles of different measures if the angle is not congruent.

In order to find x, we can use the Angle Bisector Theorem which states that the ratio of the length of the segment from the vertex of the angle bisector to the sides of the angle is equal to the ratio of the length of the other two segments formed by the angle bisector.

In this case, we know that QT is an angle bisector of angle X, so we can set up the following proportion:

(ST/x) = (TR/XT)

We are given that ST = 21, TR = 32 and XT = 18

Solving for x:

x = (21*18) / (32+18) = 378 / 50 = 7.56

Hence, Rounding to the nearest tenth: x = 7.6

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The origin's coordinates are as follows: (0, 0). A pair of ordered numbers contains one point's coordinates in the coordinate system.

To accomplish this, convert the total number of liters of fuel you purchased into gallons (multiply by 0.219). the initial mileage is subtracted from the total. Then, multiply the distance traveled by the number of gallons of fuel used. Miles per gallon are provided. The concept of proportionality refers to a graphed proportional relationship in which the independent variable is represented by x and the dependent variable by y.

Independent variables describe the input values in a relationship and are typically represented by the x coordinate in the ordered pairs (x, y). When two or more parameters are directly or indirectly proportional to one another, the relationship is denoted by the symbols a=kb or a = k/b, where k denotes the direction of the relationship between the two variables.

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The ratio of the number of minutes she spends on on math homework to the total she spends on homework each night is 2:5.

What is ratio?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. Two ratios are set to be equal in an equation called a proportion. You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls)

Here Andy spends 15 minutes on science homework 20 minutes on math homework 15 minutes on literature homework then,

Total time is ,

Science home work time+ Math home work time+ Literature                    home work time

=> 15+20+15 = 50 mins.

Now the ratio to the number of minutes she spends on on math homework to the total she spends on homework each night then

=> 20 : 50

=> 2 : 5.

Hence the  ratio of the number of minutes she spends on on math homework to the total she spends on homework each night is 2:5.

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The type of dilation that is used here as well as the factor used is given as: enlargement with scale of 2.5. Option 2

Reducing the object's size by dilation is a change. The items are enlarged or shrunk by dilation. An picture that retains the original shape is created by this alteration. The size of the form does differ, though.

The smaller image is resized into a bigger image from what we can see in the images that we have before us.

We would have to divide all sides of the big square with the corresponding sides of the smaller square

20 / 8 = 2.5

15 / 6 = 2.5

Hence we would see that the scale factor that is used here is 2.5. Therefore the dilation that is used is the enlargement with scale factor 2.5. Option 2 is correct

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Answer:

The answer is $ 0.13

Pls mark me as brainliest

The graphical representation that would be most appropriate for the data, given the number of different breakfast cereals sold, is B. Histogram, because there is a large set of data.

Histograms are used for large sets of data because they provide a visual representation of the distribution of the data. They are particularly useful for understanding the distribution of continuous variables, such as measurements or time series data.

One of the main advantages of histograms is that they allow for easy comparison of large sets of data. The use of bars to represent the data makes it easy to see the overall shape of the distribution and identify patterns or outliers. Additionally, histograms can be used to compare multiple sets of data at once, allowing for easy comparison of different groups or changes over time.

Another advantage of histograms is that they can be used to identify the underlying probability distribution of a dataset, which is useful for statistical analysis and modeling.

This is why, given the fact that the data contains information from 1, 000 different cereals, a histogram is best to show this as the data is large.

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Answer: B Histogram

Step-by-step explanation:

The multiplication table for 4's underlying pattern: To begin with, let your child know that 4 is an even number. Therefore, no matter what number you multiply by 4 .

A list of items in a sequence is one that is ordered (or events).The number of elements in an ordered sequence determines its length (potentially infinite). Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary types of sequences that you need to be familiar with. Number sequences are collections of numbers connected by some kind of rule. If you understand the rule, you can determine the numbers that will come after that in the sequence. Each number differs from the other in this case by 6. In this case, the rule for this sequence is to add 6 each time.

given

The multiplication table for 4's underlying pattern: To begin with, let your child know that 4 is an even number.

Therefore, no matter what number you multiply by 4, the result will always have either 0, 2, 4, 6 or 8 at the end.

With the aid of this method, kids will be able to distinguish multiples of 4, which will make learning the table of four much simpler.

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The quadratic equation numerically for [tex]x^{2} + 7x +12 = 0[/tex] is when

x = -4 and x =-3

The equation is  [tex]x^{2} + 7x +12 = 0[/tex]

To solve this equation using the table, we change the equation into a function

So, the function is F(x) = y = [tex]x^{2} + 7x + 12[/tex]

We have to find the value of x which we can substitute to the equation to get the y value to become 0. Since it is a quadratic equation, x will have 2 values, on [tex]x^{2}[/tex] & 7x

X         [tex]x^{2} + 7x + 12[/tex]  = Y

-4     = [tex]-4^{2}[/tex] +7(-4) + 12 = 0

-3     = [tex]-3^{2}[/tex] +7(-3) + 12 = 0

-2     = [tex]-2^{2}[/tex] +7(-2) + 12 = 2

-1     = [tex]-1^{2}[/tex] +7(-1) + 12  = 6

0     =   [tex]0^{2}[/tex] +7(0) + 12  = 12

1     =   [tex]1^{2}[/tex] +7(1) + 12   = 20

2                 =   [tex]2^{2}[/tex] +7(2) + 12  = 30

Based on table above we can see Y = 0, when X = -4 and X = -3

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The standard equation of the circle given a center (-14,7) and a radius of 2 is (x+14)^2 + (y-7)^2 =4.

The standard equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept. This equation can be used to graph any line, provided the values of m and b are known. It can also be used to calculate the slope and y-intercept of any given line.

This equation describes a circle that has a center at the point (-14,7) and a radius of 2 units.

The equation (x+14)^2 + (y-7)^2 =4 can be used to determine the coordinates of points on the circle, as well as the length of its circumference.

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Answer: for one what equation and two what is your profile pic god dam you go a big nose

Step-by-step explanation:

The point that is further from point A is point B

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  A (-5, 8) and B(1, 0)  is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(-5 - 1)² + (8 - 0)²}

d =√{36 + 64}

d = √100

d = 10 units

distance between points  A (-5, 8) and C(-10, 16) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(-5 + 10)² + (8 - 16)²}

d =√{25 + 64}

d = √89

d = 9.43 units

comparing both points shows that point B shows further away

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