Compare and contrast the formulas for calculating the volume of a cone and the volume of apyramid. Give a mathematical example to illustrate your discussion.

The probablity that first one selected is a criminal justice major is,

Now, the probablity that second one is a criminal justice major is when selected without replacement,

Simirally,

Thus, using the multiplication theorem,

Thus, the above equation gives the requried probablity.

The greatest number of bouquets that the florist can make is 12.

The greatest number of bouquets that the florist can make can be determined by calculating the highest common factor of 60 and 72. The factor of a number is the number that divides another number without any remainder. The highest common factor of two or more numbers is the highest factor that is common to two or more numbers.

Factors of 60 =1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

Highest common factor = 12

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Since in this group of ordered pairs shown above, the x-values are inputs and the y-values are outputs, all the statements that are true include the following:

A. There is only one input for every output.

B. There is only one output for every input.

An ordered pair can be defined as a pair of two (2) elements or points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

Generally speaking, the values on the x-coordinate or x-axis (abscissa) of any graph represents all of the input values while the values on the y-coordinate or y-axis (ordinate) of any graph represents all of the output values.

In this context, we can reasonably and logically deduce that there is a unique input for every output and a unique output for every input.

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Answer:

f(2) = 4

Step-by-step explanation:

Hello!

We can find f(2) by substituting 2 for x in the equation.

The value of f(2) is 4.

Answer:

2777.7777... subs

Step-by-step explanation:

11000+400+1300+300=13000

6-1.32=4.68

13,000/4.68

=2777.777777...

Answer:

y = 3x + 3 :D

Step-by-step explanation:

Equation of line: y = mx + b :)

b: Y intercept

m: Slope

Now lets solve :)

Lets find M first :)

We need 2 points so lets use (0,3) and (1,6) :)

We fist need to subtract :)

6 - 3 = 3

1 - 0 = 1

Now we divide :)

3/1 = 3

Lets put that into our equation :)

y = 3x + b

Now lets find B :)

To find b, we need to see where the line intercepts the y axis! This will be at point (0,3)!

The y intercept will be 3 :)

The final equation will be y = 3x + 3 :)

Have an amazing day!!

Please rate!

A change in temperature of 6°C is equivalent to a

change in temperature of 10.8°F

From the table drawn:

A change in temperature of 1°C is equivalent to 1.8°F

A change in temperature of 2°C is equivalent to 3.6°F

Following the relationships above, we can conclude that the relationship between °C and °F is:

°F = 1.8 °C

Therefore, a change in temperature of 6°C will be equivalent to:

°F = 1.8 °C

°F = 1.8 x 6

°F = 10.8°F

The procedure describe a completely randomized design for this research as B. Yes, the subjects are randomly assigned to each treatment.

In a randomized block design, the experimental units are divided into groups that we refer to as blocks. The experimental units inside each of the blocks will then be randomly assigned treatments.

As we can see from the question, they were divided into Blocks based on how much sun exposure they received while engaging in outdoor activities. After that, random treatments are assigned to each group.

Here, the participants are divided into groups based on their sun exposure, and then both treatments are distributed at random among the groups.

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If Greg has 1 1/2 servings of cereal for breakfast each day, he can consume 8 breakfasts from a box of cereal.

The price of one breakfast from a regular-sized box of cereal is $0.54 if the box costs $4.29.

Greg could consume 4 additional breakfast portions from a single family-sized box.

A regular-sized box of cereal = 12 servings

If Greg eats 1 1/2 servings for breakfast every day

Number of breakfast Greg can eat in a regular-sized box = A regular-sized box of cereal / servings of breakfast eaten everyday

= [tex]\frac{12}{\frac{11}{2} }[/tex]

=[tex]\frac{12}{\frac{3}{2} }[/tex]

multiply by the reciprocal of [tex]\frac{3}{2}[/tex]

= 12 × [tex]\frac{2}{3}[/tex]

= [tex]\frac{24}{3}[/tex]

= 8 breakfast

Cost of regular-sized box of cereal = $4.29.

Cost of one breakfast from a regular-sized box of cereal = Cost of regular-sized box of cereal ÷ Number of breakfast Greg can eat in a box

= [tex]\frac{4.29}{8}[/tex]

= 0.53625

Approximately,

$0.54 per breakfast

If Greg purchased the family-sized box of cereal that contains 18 servings

Family-sized box of cereal divided by the daily serves of breakfast is the number of breakfasts Greg can consume.

= 18 servings / [tex]\frac{11}{2}[/tex]

= 18 ÷[tex]\frac{3}{2}[/tex]

= 18 × [tex]\frac{2}{3}[/tex]

= [tex]\frac{36}{3}[/tex]

= 12 servings

Consequently, the number of additional breakfasts Greg may consume from a single family-sized package

= Number of breakfast Greg can eat in a family-sized box - Number of breakfast Greg can eat in a regular-sized box

= 12 servings - 8 servings

= 4 servings

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ANSWER and EXPLANATION

We want to draw a quadilateral that has 2 pairs of congruent parallel sides and 4 right angles.

There are 2 quadilaterals that fit this description:

A square and a rectangle

1st term

Given:

With the formula of the sequence:

________

Second term:

____________

Third term:

_________

Fourth term:

-________________

Fifth term:

ANSWER

3200 m²

EXPLANATION

Peter wants to build a fence around a rectangular field, except for one side because the river is there,

So, the total perimeter of the fence is,

And this is equal to 160 m. Solving for L,

The area of this field is,

Replace L with the expression we found from the perimeter,

The area is given by a quadratic function whose leading coefficient is negative, which means that the graph is a downward parabola and, therefore, the vertex is the maximum value of the area.

The x-coordinate of the vertex is given by,

In this case, x is W, a = -2, and b = 160, so the width of the field for the maximum area is,

And the length when W = 40 is,

And the area is,

Hence, the largest area of Peter's farm that can be fenced is 3200 square meters.

By using products and percentages, the grandson had the amount of $ 225 before to buy foods and beverages.

In accordance with the statement, the grandson spent 80 % of all his amount to buy some food, later 40 % of the remaining money to buy some beverages and there was $ 27 remaining. We need to determine the amount that the grandson had initially. Then, the situation can be described by the following mathematical expression:

(1 - 80 / 100) · (1 - 40 / 100) · x = 27

(20 / 100) · (60 / 100) · x = 27

(1200 / 10000) · x = 27

(12 / 100) · x = 27

12 · x = 2700

x = 2700 / 12

x = 225

By means of percentages, the grandson had an amount of $ 225 before buying foods and beverages.

The name of the grandson cannot be added due to profanity detector.

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We are given that "x" and "y" vary inversely. This means that the variables follow the next relationship:

Where "k" is a constant to be determined. To determine "k" we will use the given values:

Now, we plug in the values:

Now, we solve for "k" by multiplying both sides by 3:

Therefore, the value of "k" is 18. Now, we substitute in the relationship:

And thus we get the equation.

Answer:

yh no question....thanks for the points tho :)

The given expression : y-1=2/3(x-3)

Simplify the equation :

for the graph we need atleast two coordinates

Let at x=0 then

y=2/3(0)-1

y=-1

Cooridnate = (0,-1)

Now, let x=9 then

y=2/3(9)-1

y=2(3)-1

y=5

Coordinate =(9,5)

Plot these point (0,-1) & (9,5)on the graph and join them by staright line

The graph will be ;

The statement which is true about the graph shown is that: B. The equation c = 0.4w is correctly represented by the graph.

Mathematically, a proportional relationship can be modeled by the following linear equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for this graph:

k = y/x

k = 0.8/2

k = 0.4.

In this context, the proportional relationship which models the cost of mailing a package to the weight of the package is given by this linear equation:

c = 0.4w

where:

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Answer:

Step-by-step explanation:

The statement which is true about the graph shown is that: B. The equation c = 0.4w is correctly represented by the graph.

How to determine the equation of a proportional relationship?

Mathematically, a proportional relationship can be modeled by the following linear equation:

y = kx

Where:

y and x are the variables.

k represents the constant of proportionality.

Next, we would determine the constant of proportionality (k) for this graph:

k = y/x

k = 0.8/2

k = 0.4.

In this context, the proportional relationship which models the cost of mailing a package to the weight of the package is given by this linear equation:

c = 0.4w

where:

c is the total cost.

w is weight in ounces.

x = -1

The given equations:

y = 2x - 6

y = -6x - 14

Since both equations are equal to y, we will equate the right hand side of both equations.

y = y

2x - 6 = -6x - 14

collect like terms:

2x + 6x = -14 + 6

8x = -8

divide both sides by 8:

8x/8 = -8/8

x = -1

Equivalent linear expressions are expressions that have the same value. That is, if you have two linear expressions that are equivalent to one another, and you plug the same value in for the variable in each of them, you will get the same result in each of them.

In the case of this question, the equaivalent expression can be gotten by factorizing the expression

Let's begin by listing out the information given to us:

Jaylen's beta volume = 4 1/2 gallons = 4.5 gal

Time taken = 1 7/8 minutes = 1.785 min

Flow rate = volume / Time taken = 4.5 / 1.875 = 2.4 gal/min

Answer:    Uhm hold on

Step-by-step explanation:

We know that the ratio of pink markers to total markers is 1:3.

This means that for every 3 markers, one of them is pink. The other 2 will be yellow markers.

We can write that the ratio of pink markers to yellow markers is 1:2, based on the last sentence. This means that if we have N yellow markers, we will have N/2 pink markers.

Then, if we have 16 yellow markers, then we will have 16/2=8 pink markers.

Let's see how two points on the left are mapped to their corresponding points on the right:

Point A has a corresponding point at A'. We have:

f(A) = A'

f(-6, -3) = (2, 4)

Point B has a corresponding point at B'. We have:

f(B) = B'

f(-4, -1) = (4, 6)

Now, notice that:

2 = -6 + 8

4 = -3 + 7

So, for (x, y) = (-6, -3), we have:

f(x, y) = (2, 4) = (x + 8, y + 7)

Notice that the same happens to the mapping of the other point:

4 = -4 + 8

6 = -1 + 7

So, for (x, y) = (-4, -1), we have:

f(x, y) = (4, 6) = (x + 8, y + 7)

Therefore, the rule for the transformation is

f(x, y) = (x + 8, y + 7)

Answer:

70

Step-by-step explanation:

[tex]\frac{(700)(0.1)(0.3)}{0.3}=70[/tex]

The frequency means how many times specific data shows up in a set of values.

Score Frequency

1-6 2

7-12 4

13-18 5

...

And so on.

Starting from the given formula:

Multiply both sides of the equation by 2:

Divide both sides by h:

Substract a from both sides of the equation:

Therefore:

As Ekua has to spend $280 per month and the cost of each sheet is $9.50 / dollar. The inequality followed is T≤29.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

To ascertain the maximum or lowest values of a scenario with many restrictions, a system of linear inequalities is frequently utilized. Inequalities reflect a limit of what is permitted or achievable rather than a precise quantity.

It is given that Ekua designs and sells T-shirts for $1 13 each. Ekua has to spend $280 per month, $9.50 dollar per T-shirt ordered.

We have to find the maximum number of T-shirts she can buy,

⇒  $280 /  $9.50

⇒ 29.47 ≅29

Thus, Ekua has to spend $280 per month and the cost of each sheet is $9.50 / dollar. The inequality followed is T≤29.

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Step 1:

Concept:

Use the rate of change formula below.

Step 2

Find k(a) and k(b)

Step 3:

Here, we want to calculate the interquartile range

Mathematically, this is the difference between the lower quartile (1st quartile or 25th percentile) and the upper quartile (3rd quartile or 75th percentile)

We already have the numbers arranged from top to bottom

The count of numbers is 9 numbers

We have the first quartile as;

The third term here is the weight of baby Selena

The 3rd quartile can be calculated as;

The 8th term is the weight of baby Me

The difference between these weights give the interquartile range as follows;