What is the volume of this right cone?
27 cm
200cm
213 cm
300 cm

The largest possible value of the expression (12 - x)/3x is 3.

Expression

In algebra, expression is the combination of variables, numbers and constants.

Given,

Here we have the expression (12 - x)/3x.

Now we have to find the  largest possible integer value.

As we have given in the question that the x takes only the non negative integer, then the values must be 1, 2, 3, ….

So, we have to apply the values on the given expression ,

Then we get the values,

=> x = 1 = > (12 - 1)/3(1) = 11/3 = 3.6

=> x = 2 => (12 - 2) / 3(2) = 10/6 = 1.6

=> x = 3 => (12 - 3) / 3(3) = 9/9 = 1

Therefore, the resulting value is 3.

To know more about expression here.

https://brainly.com/question/14083225

#SPJ4

The projection of the point (4,4) onto the line passing through (3,1) is the point on the line that is closest to (4,4). To find this projection, we need to first find the direction vector of the line, which is (3-1, 1-0) = (2,1).

Next, we need to find the vector from the point (3,1) to the point (4,4), which is (4-3, 4-1) = (1,3).

Then, we can use the formula for projecting a vector onto another vector:

proj_v u = ((u · v) / (v · v)) v

where u is the vector we want to project, v is the vector we want to project onto, and · denotes the dot product.

Applying this formula, we get:

proj_v u = ((1,3) · (2,1)) / ((2,1) · (2,1)) (2,1)

= (5/5) (2,1)

= (2,1)

So the projection of (4,4) onto the line passing through (3,1) is the point (3,1) + (2,1) = (5,2).

To find the projection of vector (4, 4) onto vector (3, 1), you can follow these steps:

Step 1: Calculate the dot product of the two vectors.
Dot product = (4 * 3) + (4 * 1) = 12 + 4 = 16

Step 2: Calculate the magnitude squared of the vector you are projecting onto (3, 1).
Magnitude squared = (3 * 3) + (1 * 1) = 9 + 1 = 10

Step 3: Divide the dot product by the magnitude squared.
Scalar = 16 / 10 = 1.6

Step 4: Multiply the scalar by the vector you are projecting onto (3, 1) to find the projection.
Projection = 1.6 * (3, 1) = (4.8, 1.6)

So, the projection of (4, 4) onto (3, 1) is (4.8, 1.6).

learn nine about projection here:brainly.in/question/2210182

#SPJ11

Answer:Okay, so the first thing to do here is show you that any number can be a fraction if you use a 1 as the denominator. Take a look:

1.80

1

What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 80.

To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea!

In our case 80 is 2 digits long so we need to multiply the numerator and denominator by 100.

Now we just need to do that multiplication to get our whole fraction:

1.80 x 100

1 x 100

=

180

100

The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:

Greatest Common Divisor (GCD)

Highest Common Factor (HCF)

Greatest Common Denominator (GCD)

The GCF can be a bit complicated to work out by hand but you can use our handy GCF calculator to figure it out.

In the case of 180 and 100, the greatest common divisor is 20. This means that to simplify the fraction we can divide by the numerator and the denominator by 20 and we get:

180/20

100/20

=

9

5

And there you have it! In just a few short steps we have figured out what 1.80 is as a fraction. The complete answer for your enjoyment is below:

1 4/5

Note: because 180 is greater than 100 we have simplified this fraction even further to a mixed fraction.

Step-by-step explanation:

Answer:

By 100 times.

Step-by-step explanation:

Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.

By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.

5x10^6= 5000000  

5x10^4= 50000  

10^6 - 10^4 = 10^2 ---> 100 times.

Hope that helps, :)

The toddler is at rest at t = 2 seconds. The toddler is at rest when the velocity, which is the derivative of the position function with respect to time, is equal to 0.

We need to find the time t for which s'(t) = 0.

Taking the derivative of s(t), we get:

s'(t) = 12t^3 - 24t^2 - 12t + 24

Setting s'(t) = 0, we can factor out a 12:

12(t^3 - 2t^2 - t + 2) = 0

We can see that t = 2 is a solution to the cubic equation in parentheses by plugging it in and verifying that the value of the expression is 0. We can then factor the cubic equation as:

(t - 2)(t^2 - t - 1) = 0

Using the quadratic formula or factoring further, we can find that the other two solutions are:

t = (1 ± sqrt(5))/2

However, we need to check that these solutions are valid by plugging them back into the original position function and making sure they correspond to a point where the toddler is at rest. We find that only t = 2 satisfies this condition, so the toddler is at rest at t = 2 seconds.

Learn more about velocity here

https://brainly.com/question/80295

#SPJ11

Using the slope concept, it is found that the base of the left field wall is 361 feet from a point on level ground directly below the top row.

In this problem:

Hence:

\(\tan{14^{\circ}} = \frac{90}{x}\)

\(0.249328 = \frac{90}{x}\)

\(0.249328x = 90\)

\(x = \frac{90}{0.249328}\)

\(x = 361\)

Hence, the base of the left field wall is 361 feet from a point on level ground directly below the top row.

You can learn more about the slope concept at https://brainly.com/question/18090623

Answer:

About 822 hours.

Step-by-step explanation:

If you get $10.25 per hour of work, and are trying to figure out X hours to reach $8,425, you just divide the total goal by your hourly rate to find hte number of hours you need to work. All work is attached in the picture.

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

\(\frac{2}{3} * \frac{3}{8}\)

3 and 3 gets cancelled. Hence,

=\(\frac{2}{8}\)

Simplify this,

=\(\frac{1}{4}\)

Hence your answer is \(\frac{1}{4}\)

Hope this helps.

Kevin is correct. He needs to know how much of his college expenses will be covered so he knows how much he should save.

Kevin is correct. By filling out the FAFSA and sending it in, he will not have to pay anything because grants and scholarships will cover the costs.

Kevin is incorrect." Beacause It is never too early to start saving for college. Even if he earns scholarships, he could use the money for other expenses.

Learn more about here:

https://brainly.com/question/10218343

#SPJ10

The height of the screen will be;

⇒ h = 28 inches

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches.

Here,

The diagonal of the screen television = 53 inches

And, The width of the screen television = 45 inches

Let the height of the television = h

So, By the Pythagoras theorem, we get;

⇒ AC² = AD² + DC²

Where, AC = Diagonal of television.

AD = Height of the television

DC = Width of the television.

Substitute all the values, we get;

⇒ 53² = h² + 45²

⇒ 2809 = h² + 2025

⇒ 2809 -2025 = h²

⇒ h² = 784

⇒ h = √784

⇒ h = 28 inches

Thus, The height of the screen = 28 inches

Learn kore about the rectangle visit;

https://brainly.com/question/2607596

#SPJ1

SOLUTION:

Case: Shifting a graph

The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input. Adding to the output of a function moves the graph up. Subtracting from the output of a function moves the graph down. Here are the graphs of y = f (x), y = f (x) + 2, and y = f (x) - 2

Given:

Required:

To show how the function changes

Method:

Step 1:

The original function

At the original function, the graph cuts through (0,0).

Step 2:

When it is shifted 8 units up, the graph will now cut through (0,8).

The function will now be:

Final answer:

Answer:

5

Step-by-step explanation:

Answer:

The radius of the circle is 5

Step-by-step explanation:

Answer:

4 pills

1

Step-by-step explanation:

The surface area of the composite solid is approximately 127.65 square yards

From the question, we are to calculate the surface area of the composite solid

From the diagram, we have two cones. A big cone and a small cone

Thus,

Surface area of the composite solid = Curved surface area of big cone + Curved surface area of small cone

Curved surface area of big cone = πr(√(h² + r²))

Curved surface area of big cone = π(3)(√(8² + 3²))

Curved surface area of big cone = 3π(√(64 + 9))

Curved surface area of big cone = 3π√(73)

Curved surface area of small cone = πr(√(h² + r²))

Curved surface area of small cone = π(3)(√(4² + 3²))

Curved surface area of small cone = 3π(√(16 + 9))

Curved surface area of small cone = 3π√(25)

Curved surface area of small cone = 3π  × 5

Curved surface area of small cone = 15π

Thus,

Surface area of the composite solid = 3π√(73) + 15π

Surface area of the composite solid = 80.5253 + 47.1239

Surface area of the composite solid = 127.6492

Surface area of the composite solid ≈ 127.65 square yards

Hence,

The surface area is 127.65 square yards

Learn more on Calculating surface area here:

brainly.com/question/10254615

brainly.com/question/31547165

#SPJ1

Answer:

They are supplementary angles so they add up to make 180°

So you do the reverse

180°-100°=x

80°=x

Step-by-step explanation:

Please give me brainliest

P(t < 1.94) ≈ 0.913 (rounded to three decimal places). For 14 degrees of freedom and P(-c < t < c) = 0.95, c ≈ 2.145

(a) To compute P(t < 1.94) for a t distribution with 3 degrees of freedom, you can use a t-distribution table or statistical software. Looking up the value in a table or using software, you will find that P(t < 1.94) ≈ 0.913.
(b) To find the value of c for a t distribution with 14 degrees of freedom such that P(-c < t < c) = 0.95, you can use a t-distribution table or statistical software again. For a 0.95 probability and 14 degrees of freedom, you will find that c ≈ 2.145.
So, the answers are:
(a) P(t < 1.94) ≈ 0.913 (rounded to three decimal places)
(b) For 14 degrees of freedom and P(-c < t < c) = 0.95, c ≈ 2.145

For the first part of the question, we need to use a t-distribution table or calculator to find the probability of the t variable being less than 1.94 with 3 degrees of freedom. Using a t-distribution table, we find that the probability is 0.950 with three decimal places. Therefore, P(t < 1.94) = 0.950.
For the second part of the question, we need to find the value of c such that the probability of the t variable being less than -c with 14 degrees of freedom is 0.025. Using a t-distribution table or calculator, we find that the value of c is 2.145 with three decimal places. Therefore, P(-c < t < c) = 0.95.

Learn more about probability here: brainly.com/question/14210034

#SPJ11

Answer:

1) What does it mean when a polynomial equation is in standard​ form?

All terms are on one side of the equation, and zero is on the other side.

2) When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten?

It should be written as 8x−15x.

3) Is the given equation a quadratic equation? Explain.

x(x−6)=−5

The equation is a quadratic equation because there is an x2-term.

4) Which of the following factored forms given below represent the correct factorization of the trinomial x2+10x+16?

(2+x)(8+x)

5) Which of the following is an example of the difference of two​ squares?

x2−9

Step-by-step explanation:

I hope this helps you out ☺

A binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:

A. \(x^2 - 9\)

Recall:

Thus, from the options given, option A: \(x^2 - 9\) is an example of a binomial that is the difference of two squares.

9 can be expressed as \(3^2\).

In summary, a binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:

A. \(x^2 - 9\)

Learn more here:

https://brainly.com/question/16139579

Answer: 31: -12, -2

              32: -6, 3

              33: 4, -4

              34: 1, 8

              35: 2, -6

              36: 2, -3

              37: -5, -6

              38: -8, 9

              39: 7, 0

Step-by-step explanation:

Hope this helps!

Answer:

31. -12, -2

32. 6, -3

33. -4, 4

34. 8, 1

35. -6, 2

36. -3, 2

37. -6, -5

38. 8, -9

39. 7, 0

Step-by-step explanation:

31. -12 + -2 = ‐14 and -12 x -2 = 24

32. 6 + -3 = 3 and 6 x -3 = -18

33. -4 + 4 = 0 and -4 × 4 = -16

34. 8 + 1 = 9 and 8 x 1 =8

35. -6 + 2 = -4 and -6 x 2 = -12

36. -3 + 2 = -1 and -3 x 2 = -6

37. -6 + -5 = -11 and -6 x -5 = 30

38. 8 + -9 = -1 and 8 x -9 = -72

39. 7 + 0 = 7 and 7 x 0 = 0

1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799  participants were successful.

The successful  participants  can be calculate by solving a linear equation as follows

First, it's crucial to understand linear equations.

Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.

Linear equations are those with one degree.

In this case, a linear equation must be resolved.

1945 for the men's total

Women are present in 2849.

Participants in total: 1945 + 2849 = 4794

Let x be the proportion of participants that were successful.

Men who failed were 5 times as numerous.

Participants in total: 5x + x = 6x

Due to the issue,

The linear formula is

6x = 4794

x = 4794/6

x = 799

799 of the participants had success.

To learn more about linear equation, refer to the link-

brainly.com/question/2030026

#SPJ4

Answer:

It is Associative property :))

Step-by-step explanation:

To find the maximum likelihood estimator (MLE) for λ, we need to maximize the likelihood function L(λ) with respect to λ of the Poisson distribution

First, let's write the probability density function (PDF) of the Poisson distribution:
P(X = k) = (e^(-λ) * λ^k) / k!

The likelihood function can be defined as the product of the probabilities for each observation in the random sample. Since the sample is independent and identically distributed, we can write the likelihood function as:
L(λ) = P(x1, x2, ..., xn | λ) = P(x1 | λ) * P(x2 | λ) * ... * P(xn | λ)

Taking the logarithm of the likelihood function (log-likelihood) will simplify the calculations. The log-likelihood function is:
log(L(λ)) = log(P(x1 | λ)) + log(P(x2 | λ)) + ... + log(P(xn | λ))

Now, let's calculate the derivative of the log-likelihood function with respect to λ:
d/dλ log(L(λ)) = d/dλ (log(P(x1 | λ)) + log(P(x2 | λ)) + ... + log(P(xn | λ)))
= d/dλ (log(P(x1 | λ))) + d/dλ (log(P(x2 | λ))) + ... + d/dλ (log(P(xn | λ)))

To find the MLE, we set the derivative equal to zero and solve for λ:
d/dλ log(L(λ)) = 0

The derivative of log(P(x | λ)) with respect to λ can be calculated using the logarithmic differentiation technique. After taking the derivative, we equate it to zero and solve for λ.

By solving the equation, we will obtain the MLE for λ.

Learn more about Poisson distribution: https://brainly.com/question/9123296

#SPJ11

For each question below, mark whether or not the statement is correct. 1. 3n^4 + 2n = O(n^0) - No, 2. 4n + 45 log n = O(n) - Yes, 3. 5n = 2^(m+) - No, 4. 2n + 2 = 2^n - Yes, 5. 3n^5 + n + n = O(n^5) - Yes,

The correct answers are as follows:

1. 3n^4 + 2n = O(n^0) is incorrect. The correct answer is No because the polynomial expression has a higher degree than n^0, indicating a higher time complexity.

2. 4n + 45 log n = O(n) is correct. The expression represents linear time complexity as it grows linearly with the input size n.

3. 5n = 2^(m+) is incorrect. The correct answer is No because the expression represents an exponential relationship between 5n and 2^m, indicating a higher time complexity.

4. 2n + 2 = 2^n is correct. The expression represents an exponential relationship where 2^n grows significantly faster than 2n.

5. 3n^5 + n + n = O(n^5) is correct. The expression represents a polynomial relationship with the highest term being n^5, indicating a time complexity of O(n^5).

Learn more about statement here:

brainly.com/question/14646525

#SPJ11

Final Answer: \(3x - 9\)

Steps/Reasons/Explanation:

Question: Simplify \(-5 - x + 4x - 4\).

Step 1: Collect like terms.

\((-5 - 4) + (-x + 4x)\)

Step 2: Simplify.

\(-9 + 3x\)

Step 3: Regroup terms.

\(3x - 9\)

~I hope I helped you :)~

Answer: 3x-9

Step-by-step explanation:

Subtract the numbers

-5 - x + 4x -4x

-9 - x + 4x

Combine like terms

_______________

-9-x+4x

-9+3x

Rearrange terms

-----------------------

-9+3x

3x-9

Answer:

\(9(b + 5) - 4b = \\ 9b + 45 - 4b = \\ 5b + 45 = b + 9\)

\( \looparrowright \sf9(b + 5) - 4b\)

\( \\ \\ \)

\( \looparrowright \sf9b + 45 = - 4b\)

\( \\ \\ \)

\( \looparrowright \sf9b + 4b + 45 = 0\)

\( \\ \\ \)

\( \looparrowright \sf5b + 45 = 0\)

\( \\ \\ \)

\( \looparrowright \sf5b = - 45\)

\( \\ \\ \)

\( \looparrowright \sf \: b = - 45 \div 5\)

\( \\ \\ \)

\( \looparrowright \sf \: b = -9\)

Answer:    72

Step-by-step explanation: just ask safary, 80% of 90 to get 72

A student must answer 72 questions correctly out of the 90 questions on the test to achieve an 80% accuracy rate and pass the test.

To pass the test with an 80% score, a student must answer 72 questions correctly out of the total 90 questions. This can be calculated by first finding out what 80% of 90 is, which can be done by multiplying 0.8 (the decimal form of 80%) by 90:

0.8 x 90 = 72

Therefore, a student needs to answer at least 72 questions correctly to pass the test with an 80% score.

To determine the number of questions a student must answer correctly to pass the test, we will use the given criteria: the student needs to achieve 80% accuracy, and there are 90 questions on the test.

To find the required number of correct answers, we will multiply the total number of questions (90) by the percentage required to pass (80%). The formula for this calculation is:

(Number of correct answers) = (Total questions) × (Percentage required to pass)

In our case, this translates to:

(Number of correct answers) = (90) × (80%)

Converting the percentage to a decimal value by dividing it by 100, we get:

(Number of correct answers) = (90) × (0.8)

Now, we multiply the values:

(Number of correct answers) = 72

Therefore, a student must answer 72 questions correctly out of the 90 questions on the test to achieve an 80% accuracy rate and pass the test.

To learn more about accuracy rate, click here:

brainly.com/question/760284

#SPJ11

Check the picture below.

The probability of randomly selecting an orange candy is 1/3.

We assume that all the candy have the same probability of being randomly selected. Then the probability of randomly selecting an orange candy is equal to the quotient between the number of orange candy and the total number of candy in the jar.

There are 6 orange ones, and the total number is:

T = 3 + 5 + 6 + 4

T = 18

Then the probability will be:

P = 6/18 = 1/3

The correct option is D.

Learn more about probability.

https://brainly.com/question/25870256

#SPJ1

According to the question For ( a ) the amount and concentration of salt at any time \(\(t\)\) can be \(\[S(t) = 10 + 11 - 44 \times C(t) \text{ kg}\]\)\(\[C(t) = \frac{S(t)}{100}\text{ kg/L}\]\) . For ( b ) the limiting concentration of salt in the tank is 0.25 kg/L.

To determine the amount and concentration of salt at any time in the tank, we need to consider the inflow of saltwater, outflow of water, and evaporation. Let's denote the time as \(\(t\)\) in hours.

a. Amount and Concentration of Salt at any time:

Let's denote the amount of salt in the tank at time \(\(t\) as \(S(t)\)\) in kg and the concentration of salt in the tank at time \(\(t\) as \(C(t)\) in kg/L.\)

Initially, the tank contains 100 L of water with a salt concentration of 0.1 kg/L. Therefore, at \(\(t = 0\)\), we have:

\(\[S(0) = 100 \times 0.1 = 10 \text{ kg}\]\)

\(\[C(0) = 0.1 \text{ kg/L}\]\)

Considering the inflow, outflow, and evaporation rates, the amount of salt in the tank at any time \(\(t\)\) can be calculated as:

\(\[S(t) = S(0) + \text{Inflow} - \text{Outflow} - \text{Evaporation}\]\)

The inflow rate of saltwater is 55 L/h with a concentration of 0.2 kg/L. Thus, the amount of salt entering the tank per hour is:

\(\[\text{Inflow} = \text{Inflow rate} \times \text{Concentration} = 55 \times 0.2 = 11 \text{ kg/h}\]\)

The outflow rate is 44 L/h, so the amount of salt leaving the tank per hour is:

\(\[\text{Outflow} = \text{Outflow rate} \times C(t) = 44 \times C(t) \text{ kg/h}\]\)

The evaporation rate is 11 L/h, and as only water evaporates, it does not affect the salt concentration in the tank.

Therefore, the amount and concentration of salt at any time \(\(t\)\) can be expressed as follows:

\(\[S(t) = 10 + 11 - 44 \times C(t) \text{ kg}\]\)

\(\[C(t) = \frac{S(t)}{100}\text{ kg/L}\]\)

b. Limiting Concentration:

The limiting concentration refers to the concentration reached when the inflow and outflow rates balance each other, resulting in a stable concentration. In this case, the inflow rate of saltwater is 55 L/h with a concentration of 0.2 kg/L, and the outflow rate is 44 L/h. To find the limiting concentration, we equate the inflow and outflow rates:

\(\[\text{Inflow rate} \times \text{Concentration} = \text{Outflow rate} \times C_{\text{limiting}}\]\)

\(\[55 \times 0.2 = 44 \times C_{\text{limiting}}\]\)

\(\[C_{\text{limiting}} = \frac{55 \times 0.2}{44} = 0.25 \text{ kg/L}\]\)

Therefore, the limiting concentration of salt in the tank is 0.25 kg/L.

To know more about concentration visit-

brainly.com/question/14690240

#SPJ11

Answer:

2/3 brownies, 0.(6) brownies

Step-by-step explanation:

4 brownies / 6 people

4/6

2/3 or 0.(6)

hope this helps :)

another option is to either make/buy more brownies or just give the brownies to some homeless ppl

Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

A discount store sells 5.5 - ounce jars of fish in bundles of 5. A bundle of 5 jars costs $10.45. Then the unit rate is given as,

⇒ ($10.45 x 5) / (5.5 x 5 x 5)

⇒ $0.38 per ounce

The store likewise sells 4.5-ounce jars of similar fish in bundles of 8. A bundle of 8 jars costs $12.96. Then the unit rate is given as,

⇒ ($12.96 x 8) / (4.5 x 8 x 8)

⇒ $0.36 per ounce

The store sells 3.5 - ounce jars in bundles of 4 jars for $4.76. Then the unit rate is given as,

⇒ ($4.76) / (3.5 x 4)

⇒ $0.34 per ounce

Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.

More about the average rate change link is given below.

https://brainly.com/question/28744270

#SPJ1