what is 1/5 of 52 1/2

The altitude of the right circular cone is 13.5 inches.

What is volume?

Volume is a term used in mathematics to describe the volume of three-dimensional space occupied by an object or a closed surface. The measurement of volume is done in cubic units, like m3, cm3, in3, etc. Volume is also referred to as capacity on occasion.

Here, the volume of a right circular cone varies jointly as the altitude and the square of the radius of the base

So our equation for volume becomes

V = c*h*r^2

where 'h' is altitude and

'r' is radius of base and

'c' is constant

Putting the values of V, h, r, in the volume equation.

we get,

154 = c*12*3.5*3.5

  c = 22/21

Now we have volume = 77 cu and radius of the base =7/3, so putting the values we get,

 77 = 22/21*h*7/3*7/3

or, h = 13.5 inches

Hence, the altitude of the right circular cone is 13.5 inches.

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Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.

A mathematical equation seems to be a formula that links two statements and signifies equivalence with the equals sign (=). In algebra, a scientific claim that confirms the equality two two mathematical abstractions is referred to as an equation. For instance, the answer obd + 6 = 12 has an equal sign between the elements ptdc + 6 and 12, respectively. There is a mathematical formula that describes the connection between the two syllables on either side of a letter. Frequently, the symbol and the single variable are the same.

Here,

f(x)=2x-5 and t(n)=2n-5 are given.

A) They both depict the sequence.

B) Unless the expression is undefined, the domain of both the expression seems to be all real numbers. In this instance, the phrase is defined despite the lack of a real number.

(−∞,∞) is an interval notation.

{x|x ∈ R} is the Set-Builder Notation.

Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.

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The company is likely to sell 3,120 copies of rock music per week.

If the company estimates sales of 6,000 copies a week at its online store, it is likely that 78/150 x 6,000 = 3,120 copies will be from the rock genre.

To find this, we first need to calculate the proportion of visitors that preferred rock music by dividing the number of visitors who preferred rock (78) by the total number of visitors surveyed (150). This gives us 78/150 = 0.52.

Next, we multiply this proportion by the estimated number of weekly sales at the online store (6,000) to find the number of sales that are likely to be from the rock genre. 0.52 x 6,000 = 3,120.

So, the company is likely to sell 3,120 copies of rock music per week.

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Answer:

Answer:

Step-by-step explanation:

y - 5 = -1/7(x - 4)

y - 5 = -1/7x + 4/7

y - 35/7 = -1/7x + 4/7

y = -1/7x + 39/7

Step-by-step explanation:

Let A be the sum from 100 to 300

so the sum of 97 to 298 =

A - (299+300) + 97 +98

= A - 403

Answer:

[tex]5x^2-3x-7,\,\,f(-2)=19[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-4x+3x^2+x-7\\f(x)=5x^2-3x-7\\f(-2)=5(-2)^2-3(-2)-7\\f(-2)=5(4)+6-7\\f(-2)=20-1\\f(-2)=19[/tex]

A logarithmic curve is a mathematical function.

A logarithmic curve, also known as a logarithmic function, is a type of mathematical function that describes a relationship between a variable x and a variable y in which the logarithm of y is a linear function of x.

The general form of a logarithmic function is y = logb(x), where b is the base of the logarithm, and x and y are real numbers. The base of the logarithm can be any positive number, but the most common bases used are 10 (common logarithm) and e (natural logarithm).

The graph of a logarithmic function is a curve that starts at negative infinity and increases gradually as x increases. The slope of the curve becomes closer to zero as x increases, and it is undefined for x=0 or x<0.

Logarithmic functions are often used in many areas of science, engineering, and mathematics to model real-world phenomena that exhibit exponential growth or decay, such as population growth, radioactive decay, sound levels and more.

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Answer: 4

Step-by-step explanation:

35.2/ 8.8= 4

4

Answer:

(6, 5 )

Step-by-step explanation:

3x + 2y = 28 → (1)

5x - 3y = 15 → (2)

multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y

9x + 6y = 84 → (3)

10x - 6y = 30 → (4)

add (3) and (4) term by term to eliminate y

19x + 0 = 114

19x = 114 ( divide both sides by 19 )

x = 6

substitute x = 6 into either of the 2 equations and solve for y

substituting into (1)

3(6) + 2y = 28

18 + 2y = 28 ( subtract 18 from both sides )

2y = 10 ( divide both sides by 2 )

y = 5

solution is (6, 5 )

Answer: The odds of an event happening are the ratio of the number of ways the event can happen to the number of ways it cannot happen.

Odds = (probability of success) / (probability of failure)

In this case, the event is that a carton of eggs will have at least one cracked egg.

The probability of success (the event happening) is 2.5%

The probability of failure (the event not happening) is 100% - 2.5% = 97.5%

so we can find the odds by dividing the probability of success by the probability of failure.

Odds = 2.5 / 97.5 = 0.025/0.975 = 1/39

So the odds that a carton of eggs will have at least one cracked egg is 1:39, meaning that for every 39 cartons that are free of cracked eggs, one carton will have at least one cracked egg.

It means that it's 1 in 39 chance that a carton of eggs will have at least one cracked egg

Step-by-step explanation:

There are several ways to make a graph to compare two sets of data, but one common method is to use a line graph.

The steps to create a line graph to compare two sets of data:

Organize the data: Arrange the data into two columns, one for each set of data. Each column should have a label at the top to indicate what the data represents.

Choose a scale: Decide on an appropriate scale for the x- and y-axes that will allow you to clearly display the data. The x-axis should represent the categories being compared, and the y-axis should represent the values of the data.

Plot the data: Using the chosen scale, plot the data points for each set of data on the graph. Use different colors or symbols for each set of data to make it easy to distinguish between the two.

Add a title: Give the graph a title that describes what the graph is showing.

Add a legend: Add a legend to the graph to indicate what each set of data represents.

Add labels: Label the x- and y-axes to indicate what they represent.

By following these steps, you can create a clear and informative line graph that allows you to easily compare two sets of data.

Other types of graph that can be used to compare two sets of data are bar charts, scatter plots, and stacked bar charts. The choice of graph depends on the type of data you have, and what you want to compare or highlight.

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Cory is hiking up a hill with a constant slope the double number line shows that after Cory hikes 3 km his elevation is 120 m. Select the double number line that correctly labels is option 'A'.

From brief half-day programs to extensive itineraries lasting more than 20 days, the activity's duration varies. The majority of the time, it is an activity that accepts groups of various sizes.

A long stroll, especially one undertaken for the sake of recreation or exercise; see also hike; an increase, particularly in quantity or amount. While it is entirely up to each hiker to assign whatever classification they see fit to their experience, I have found that the vast majority of hikers fall into one of the three most common categories: peak-bagging, long-distance hiking, or day hiking.

Because it is a constant slope and Cory hikes 3 km his elevation is 120 m.

slpoe = 120m/3km = 40m/1km

So, Cory's elevation after he hikes 1 km, his elevation is 40 m.

Cory's elevation after he hikes 2 km, his elevation is (2*40 m) 80 m.

Cory's elevation after he hikes 4 km, his elevation is (4*40 m) 160 m.

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The complete question is:

Cory is hiking up a hill with a constant slope. The double number line shows that after Cory hikes 3 km his elevation is 120m. Select the double number line that correctly labels Cory's elevation after he hikes 1, 2, and 4 km. Choose 1 answer:

The probability that a bag of flour passes inspection is 0.05.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true. In this case, the probability of an event us usually represented as a number between 0 and 1.

In this case, the odds that a bag of flour weighs enough to pass inspection are 1:20. The probability that a bag of flour passes inspection will be:

= 1/20

= 0.05

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Complete question

The odds that a bag of flour weighs enough to pass inspection are 1:20. What is the probability that a bag of flour passes inspection?

A recursive formula for the sequence is:  f(n+1) = f(n)-99.4, n ≥ 1

Consider the given sequence.

99.4, 0, -99.4, -198.8, . . .

We can observe that each next term of the sequence is decreased by -99.4

i.e., f(0) = 99.4

f(1) = f(0) - 99.4

f(1) = 99.4 - 99.4

f(1) = 0

f(2) = f(1) - 99.4

f(2) = 0 - 99.4

f(2) = -99.4

From these calculations we can say that the n-th term would be,

f(n) = f(n - 1) - 99.4

Therefore, recursive formula:  f(n+1) = f(n) - 99.4

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So we know that if you multiply a negative number by a positive number, you get a negative number. We also know that if you multiply a negative number by a negative number you get a positive number! (Two negatives cancel each other out!)

So going down the list:

(-3)(-6) = positive (two negatives!)

(-3)(6) = negative (one negative, one positive!)

-(-3)(6) = positive (this is because you multiple left to right. because the negative is technically a -1 multiplying the -3, your -3 turns into a +3!)

(2)(3)(-6) = negative

(-2)(-3)(-6) = negative (remember, you multiply in the order of left to right! So multiplying the -2 and -3 gives you a positive. However, the -6 makes that positive number negative!)

(2)(-3)(-6) = positive

I hope this helps!

The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .

What is Quadratic Equation?

Quadratic equation can be defined as the equation which is in the form of ax^2 +bx +x = 0.

where a,b,c are constants.

Given ,

The standard form of a quadratic is given by:

ax^2 + bx + c

So for our function, we can say,

a = 0.1

b = -22

c = 11599

We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a

So,

= -(-22) / 2*0.1

=22/0.2

= 110

Plugging this value into original function would give us the minimum (unit cost):

C(x) = 0.1 x ^2 - 22x +11599

C(x) = 0.1(110*110) - 22(110)+11599

C(x) = 110(11-22) + 11,599

C(x) = -11(110) + 11599

C(x) = -1210 + 11599

C(x) = 10,389

Hence , The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .

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The slope of the graph is equivalent to 6 units.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the graph showing the amount of water in the tank after the several minutes of it being turned off.

We can write the slope of the graph as -

m = (16 - 10)/(2 - 1)

m = 6

Therefore, the slope of the graph is equivalent to 6 units.

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Answer:

25%  

a half is 50%

a quarter is 25%

Answer: It's option C

Step-by-step explanation:

Well 1 quarter is 25

2 quarters is 50

3 quarters is 75

4 quarters is a dollar

the value of x would be 22/3 after simplification.

The acts or process of simplifying something such that it is simpler to accomplish or understand, or the item that is the consequence of such simplifying: The group offers suggestions on how to make trade procedures simpler. In mathematics, we generally use the PEMDAS method to simplify the values.

Given, the equation in the form of x is  3/4(x−8)= −1/2

For the value of x

3/4(x−8)= −1/2

multiply by 4 on both sides

3(x - 8) = -2

divide by 3 into both the sides

x - 8 = -2/3

add 8 on both sides

x = -2/3 + 8

x =  22/3

therefore, the value of x for the given equation 3/4(x−8)= −1/2 is 22/3.

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Answer:

I believe the answer is 3

Step-by-step explanation:

because NO and KL are parallel, they have the same length which is 3 as given in the question description. We also know that KL and NM have the same length. Therefore, NM is also 3.

Answer:

no

Step-by-step explanation:

3x2=6 ;-;

Is it possible for [tex]3\times2[/tex] to equal 1?

[tex]3\times2=6[/tex]

[tex]6\neq 1[/tex]

Therefore, [tex]3\times2[/tex] DOES NOT equal to 1.

As per the given standard deviation, the probability that the first-year student shows a higher emotional intelligence test score in a randomly selected senior/first-year pair is 0.72

Here we have given that the score, S, of a randomly selected senior student at a large university has a mean of 123 and a standard deviation of 29.

And the score, F, of a randomly selected first-year student at a large university has a mean of 104 and a standard deviation of 34.

Then the probability is calculated as,

=> 123/104

=> 1.182

Where as the based on the standard deviation, the value is calculated as

=> 29/34

=> 0.852

Then the total probability of the given situation is calculated as,

=> 0.852/1.182

=> 0.72

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The relationship between xzw and wzv on the vertical angle is as follows:

∠ xzw + ∠ wzv = 180

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles share the same vertex and they are congruent to each other.

Therefore,

∠vzy ≅ ∠wzx(vertical angles)

Hence, the relationships between angles xzw and wzv  is as follows:

∠ xzw + ∠ wzv = 180 (sum of angles on a straight line)

3x + 17 + x - 9 = 180

4x + 8 = 180

4x = 180 - 8

4x = 172

x = 172 / 4

x = 43

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The graph of the system of equations y - 2x + 5 = 0 and y + 4x + 1 = 0 intersect at (0.667, - 3.667)

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, A system of equations y - 2x + 5 = 0 and y + 4x + 1 = 0.

Let's write the terms in the order x, y therefore,

y - 2x + 5 = 0

- 2x + y = - 5.

2x - y = 5.

And

y + 4x + 1 = 0.

4x + y = - 1.

The graph of the system of equations is attached in the image.

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Therefore, the answer to the provided problem of tractable problem turns out to be the most common problem that has been shown to be insoluble.

a method that takes a polynomial amount of time to finish a manageable task. It makes advantage of the polynomial upper bound. Intractable refers to a problem that cannot be addressed in a polynomial amount of time. The bound has an exponential minimum.

Here,

It is the most common issue that has been shown to be intractable since there is no program that can fix the stopping trouble for sufficiently general computer programs.

We need to be clear about the kind of computer program we're talking about.

Therefore, the answer to the provided problem of tractability turns out to be the most common problem that has been shown to be insoluble.

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Answer:

C.  The y-intercept is (0,24).  Jamie has 24 tickets before going on any rides.

Step-by-step explanation:

Rides  Tickets Left

  0           24

  1            18

  2           12

  3             6

  4             0

Let x be the number of rides taken and y be the number of tickets remaining.  We can write the equation for this linear function as:

  y = -6x + 24

The y-intercept, 24, tells us how many tickets Jamie has before taking any rides (x = 0).  He has 24 tickets.  His first ride reduces that amount by 6, so the slope of this line is -6 (Jamie uses 6 tickets per ride).

The y-intercept is written as (0,24):  Jamie has 24 tickets before any ride is taken.  This is option C.

Yes Jerome's sister is correct.

The answer to the table is given below.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here:

Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.

Drink mix     3  6    9   12   15

water cups   8  16   24  32  40 

we know this is true because to find a ratio equivalent to another we have to multiply the two quantities, by the same number.

Hence, The complete table is shown above.

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