The diameter of a circle is 4 millimeters. What is the circle's circumference?

Answer:

They are all equal sides so divide 180 by 3

Step-by-step explanation:

Answer:

X > 2

Step-by-step explanation:

2x + 14 < 3x + 12

-x < -2

x > 2

Answer:

x >2

Step-by-step explanation:

steps:

1: write the question nicely.

2: the number outside multiply with what is in the bracket.(EXPAND).

3: collect the like terms.

4: 2x-3x=-1x

:12-14=-2

5: divide by negative 1 on both side.

6:remember when u solve something including the inequalities sign....if u divide it by a negative number u should change the sign .

the ans will be x>2

To find the bases for the column space, row space, and null space of matrix A, we first need to determine its rank and nullity.

From the given equivalent echelon form of matrix A, we can see that it has three pivot positions, which means its rank is 3. Therefore, by the Rank-Nullity Theorem, the nullity of A is 0 (since the dimension of the column space plus the dimension of the null space must equal the total number of columns in the matrix).

Now let's find the bases:

Basis for the column space of A: To find a basis for the column space, we can simply take the columns of the original matrix A that correspond to the pivot positions in the echelon form. In this case, those columns are the first, second, and fourth columns of A. So, a basis for the column space of A is { \([1 0 2]^{T}, [0 1 -1]^{T}, [-1 1 0]^{T}\) }.

Basis for the row space of A: To find a basis for the row space, we can take the rows of the echelon form that correspond to the pivot positions. In this case, those rows are the first, second, and fourth rows. So, a basis for the row space of A is { [1 0 -1 1], [0 1 2 0], [0 0 0 1] }.

Null space of A: Since the only solution to Ax = 0 is the zero vector, there is no basis for the null space of A.

We can verify that the Rank-Nullity Theorem holds by checking that the sum of the dimensions of the column space and null space equals the total number of columns in A:

dim(Col(A)) + dim(Null(A)) = 3 + 0 = 3

which is indeed equal to the number of columns in A.

Learn more about bases at: https://brainly.com/question/31310368

#SPJ11

Answer:

84

Step-by-step explanation:

Ratio of red:blue = 5: 7

That means if there are 12 stickers total, 5 will be red and 7 will be blue

The ratio of red:total is 5:12 which can be represented as 5/12

The ratio of blue:total is 7:12 which can be represented as 7/12

So, if there are 144 stickers

Number of blue stickers = 7/12 x 144 = 7 x 12 = 84

The t value will be the result that is  58.851995039

The t-statistic for the observed correlation coefficient of 0.951 can be calculated to determine if it is statistically significant. Using the T.INV() spreadsheet function and the appropriate degrees of freedom.

We can test the null hypothesis of no correlation at the 5% significance level. Additionally, the T.DIST() function can be used to calculate the p-value of the t-statistic.

To calculate the t-statistic, we need to know the sample size (n) and the observed correlation coefficient (r). In this case, we have 37 monthly observations and a correlation coefficient of 0.951. The t-statistic can be calculated using the formula t = r x sqrt((n - 2) / (1 - r^2)). Plugging in the values, we find t = 0.951 x sqrt((37 - 2) / (1 - 0.951^2)).

By comparing this t-statistic to the critical value at the desired significance level (5% in this case), we can determine if the null hypothesis of no correlation can be rejected. Additionally, the p-value can be calculated using the T.DIST() function to determine the probability of obtaining a t-statistic as extreme as the observed value. If the p-value is less than the chosen significance level, the null hypothesis can be rejected.

Learn more about Correlation here:

brainly.com/question/30116167

#SPJ11

Answer:

If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

Step-by-step explanation:

We multiply by -3/2 to get rid of y and figure out the system of equations.

A mathematical assertion that has an "equal to" symbol between two expressions with equivalent values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including straight, quadratic, cubic, and others.

So, we have:

9x+3/4y=6 and 2x+1/2y=9

By removing y, we must solve a system of equations.

Therefore, we will first make the y-coefficient equal but with the opposite sign.

In the first equation, the y-coefficient is 3/4

The coefficient of y in equation two is half.

LCM: 3/4 and 1/2 = 3/2
To maintain the same coefficient of y, multiply the second equation by -3/2.

-3/2*2x-3/2*1/2y = -3/2*9

-3x-3/4y = -27/2

9x+3/4y = 6

Combine the two equations and get rid of the y variable.

-3x+9x = -27/2+6

6x = -15/2

x = -5/4

Therefore, we multiply by -3/2 to get rid of y and figure out the system of equations.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

Complete question:

Given the equations 9x+3/4y=6 and 2x+1/2y=9, by what factor the equation to eliminate y and solve the system through linea would you multiply the second equation to eliminate y and solve the system through linear combinations?

Options;

A.) -4/3

B.) -3/4

C.) -3/2

D.) -7/2

Answer:

n-5

Step-by-step explanation:

Answer:

X - 5

Step-by-step explanation:

hope this helps.

....

Answer:

9

It is 9 because 9 is the only number that multiplied by itself is 81.

The time at which the football is 25 feet above the ground is 1/2 seconds and 21/8 seconds.

Given that:-

\(s(t) = -16t^2 + 50t + 4\)

Where s(t) represents the distance traveled by the football after t seconds.

We have to find the time at which the football is 25 feet above the ground.

Putting s (t) = 25 feet, we get,

\(25 = -16t^2 + 50t + 4\\\\ -16t^2 + 50t -21=0\\\\ 16t^2 - 50t - 21=0\)

Using middle term split theorem to solve the equation, we get,

\(16t^2 -42t -8t+ 21=0\)

2t(8t - 21) -(8t-21) = 0

(8t - 21)(2t - 1) = 0

t = 21/8 and 1/2 seconds.

Hence, the time at which the football is 25 feet above the ground is 1/2 seconds and 21/8 seconds.

To learn more about distance, here:-

https://brainly.com/question/15172156

#SPJ1

Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of

To find the present value of an infinite stream of cash flows, we can use the formula:

PV = CF / r

where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.

In this case, CF = $100 (received at the end of each year forever) and r = 10%.

Plugging in the numbers, we get:

PV = $100 / 0.10 = $1,000

So the present value of the infinite stream of cash flows is $1,000.

However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:

PV = CF / (r - g)

where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).

Plugging in the numbers, we get:

PV = $100 / (0.10 - 0) = $1,000

So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.

Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.

To learn more about present value please click on below link.

https://brainly.com/question/17322936

#SPJ4

Answer:

Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010. There are 11 integers that are factors of 2020. The biggest factor of 2020 is 1010.

There are 10, 20, 202, 404, 505, and 1010  factors of 2020 have more than 3 factors.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.

Also Prime factorization is when all those factors are prime numbers.

Thus, this factorization expresses an integer in terms of multiples of prime numbers.

Factors of 2020 are;

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010.

There are 11 integers that are factors of 2020.

We can see that the biggest factor of 2020 is 1010.

Learn more about factorization here:

https://brainly.com/question/10454590

#SPJ2

Answer:

C and D

Step-by-step explanation:

Hope this Helped! Please tell me if I'm wrong!

The situations that describe a quantity that changes in an exponential manner relative to the other quantity are,

A. The value of a printer decreases in value by 15% each year.

E. The amount of money in Devonte's savings account in it he earns 3.5% interest each year.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

The situations that describe a quantity that changes in an exponential manner relative to the other quantity are,

The value of a printer decreases in value by 15% each year,

It is an exponentially decaying function.

Suppose the first year it decayed to 85% of it's original value, next year it will decay 15% of 85% of its value.

The amount of money in Devonte's savings account it he earns 3.5% interest each year.

Suppose he earned 3.5% for $100, which is 103.5, next year he will earn

3.5% on $103.5, an exponentially growing function.

learn more about exponential functions here :

https://brainly.com/question/26977013

#SPJ2

The sample size must become 625 to reduce the standard deviation of the mean to 1.6.

To reduce the standard deviation of the mean from 5 to 1.6 for a sampling distribution, we can use the formula for the standard deviation of the mean (σx) which is:

σx = σ / √n

where σ is the population standard deviation, and n is the sample size.

In this case, the standard deviation of the mean for samples of size 64 is 5. We are given:

5 = σ / √64

Solving for σ, we get:

σ = 5 x √64
σ = 5 x 8
σ = 40

Now, we want to find the sample size (n) to reduce the standard deviation of the mean to 1.6:

1.6 = 40 / √n

To solve for n, we can first square both sides of the equation:

(1.6)² = (40 / √n)²
2.56 = 1600 / n

Now, we can solve for n:

n = 1600 / 2.56
n = 625

You can learn more about standard deviation at: brainly.com/question/23907081

#SPJ11

Answer: the answer is d

Step-by-step explanation:

Answer;

5(2+ 11b)

Explanation:

The distributive property allows us to says that for example

now we can write 10 = 2 * 5 and 55 = 11 * 5 and so we can write

we can factor out the 5 to get

which is our answer!

In general, two congruent segments have the same measure. Since no more information about the figure is given, we would need to estimate the measurement of each of its segments.

A) Notice that

B)

C)

D)

E)

Answer:

2km

Step-by-step explanation:

Answer: The answer is C(3,11)

Step-by-step explanation:

If you replace x with 3 that will be 3 to the third power 3 x 3 is 9 so 9 plus 2 is 11 you can use 11 in y, therefor your answer is C.(3,11)

Answer: A multiplication expression that shows how many pictures Oscar took is 3 x 20. An addition expression that shows how many pictures Oscar took is 20 + 20 + 20. The total number of pictures Oscar took is 60.

Step-by-step explanation: A multiplication expression is a way of showing repeated addition of the same number. For example, 3 x 20 means adding 20 three times: 20 + 20 + 20. This expression can be used to show how many pictures Oscar took because he took the same number of pictures (20) in three different places (rain forest, beach, fort). To find the total number of pictures, we can multiply 3 by 20 and get 60.

An addition expression is a way of showing the sum of two or more numbers. For example, 20 + 20 + 20 means adding 20 to itself two times and then adding the result to another 20. This expression can also be used to show how many pictures Oscar took because he took 20 pictures in each place and we can add them together. To find the total number of pictures, we can add 20 to itself three times and get 60.

The total number of pictures Oscar took is the same whether we use multiplication or addition, because these operations are related by the distributive property. This property states that a x (b + c) = a x b + a x c. For example, 3 x (20 + 20) = 3 x 40 = 120 and 3 x 20 + 3 x 20 = 60 + 60 = 120. In this case, we can use the distributive property to show that 3 x (20 + 20 + 20) = 3 x (60) = 180 and 3 x 20 + 3 x 20 + 3 x 20 = 60 + 60 + 60 = 180. Therefore, the total number of pictures Oscar took is equal to either expression: 60.

Hope this helps, and have a great day! =)

Answer:

multiplication expression is 3×20

addition expression is 20+20+20

tatal pictures is 60

The expected cost of constructing a wastewater treatment plant for the company is $3 million.

The construction of a wastewater treatment plant is a crucial investment for any company that generates a significant amount of wastewater. The primary purpose of such a facility is to treat and dispose of the wastewater in an environmentally responsible manner. In this case, the company has estimated the construction cost of the wastewater treatment plant to be $3 million.

The cost of constructing a wastewater treatment plant can vary depending on various factors such as the size of the facility, the treatment technologies employed, the complexity of the site, and regulatory requirements. A treatment plant typically consists of several components, including collection systems, treatment units, sludge handling facilities, and disinfection systems.

The estimated cost of $3 million indicates a substantial investment, suggesting that the company is committed to addressing its wastewater management needs. By constructing a treatment plant, the company aims to comply with environmental regulations, protect public health, and demonstrate corporate social responsibility.

The benefits of a wastewater treatment plant extend beyond compliance. Proper treatment of wastewater helps remove pollutants and contaminants, reducing the impact on water bodies and ecosystems. It also promotes water conservation by enabling the reuse of treated water for various purposes, such as irrigation or industrial processes. Additionally, the treatment plant may generate byproducts such as biogas or biosolids, which can be further utilized or converted into renewable energy sources.

To ensure the success of the project, the company should engage experienced engineers, consultants, and contractors specialized in wastewater treatment plant construction. Thorough planning, including site selection, design considerations, and obtaining necessary permits, is essential to mitigate potential risks and optimize the plant's performance.

Overall, the construction of a wastewater treatment plant is a strategic investment for companies aiming to manage their wastewater responsibly and contribute to sustainable water management practices.

learn more about Wastewater treatment.

brainly.com/question/31460748

#SPJ11

The x-coordinate of the vertex is 0.  the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

To find the dimensions that will create the maximum area of the prop section, we need to analyze the given equation A = -x^2 + 40. The equation represents a quadratic function in the form of A = -x^2 + 40., where A represents the area of the prop section and x represents the dimension.

The quadratic function is in the form of a downward-opening parabola since the coefficient of is negative (-1 in this case). The vertex of the parabola represents the maximum point on the graph, which corresponds to the maximum area of the prop section.

To determine the x-coordinate of the vertex, we can use the formula x = -b / (2a), where the quadratic equation is in the form Ax^2 + Bx + C and a, b, and c are the coefficients. In this case, the equation is -x^2 + 40, so a = -1 and b = 0. Plugging these values into the formula, we get x = 0 / (-2 * -1) = 0.

Therefore, the x-coordinate of the vertex is 0. To find the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation  A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

Hence, the equation that reveals the dimensions that will create the maximum area of the prop section is A = 40. This means that regardless of the dimension x, the area of the prop section will be maximized at 40 units.

For more such questions on coordinate visit:

https://brainly.com/question/29660530

#SPJ8

The appropriate choice about the display technique in case of two continuous variables is the scatter plot.

A scatter plot is a graph used to plot two variables, usually as the horizontal and vertical axis, to check for a correlation or connection between them.What is a variable?A variable is a statistical concept that is used to measure the characteristics of a population or a sample.

A variable is an attribute or a feature of an object, event, or person that can be quantified or described numerically. The pie chart is appropriate when you want to display a distribution of a continuous variable. But this technique is not appropriate in this case because you cannot see the distribution of a single continuous variable using a pie chart. A pie chart is best suited for showing percentages of a whole.C.E. A scatter plot is a graphical representation of the relationship between two variables. This technique is appropriate when you want to display two continuous variables. A treemap is best suited for showing the distribution of one categorical variable. F. A pie chart is appropriate when you want to display the distribution of a single continuous variable. A contingency table is appropriate when you want to display the frequency distribution of one categorical and one continuous variable.

To know more about variables visit :

https://brainly.com/question/29521826

#SPJ11

So the right answer is 1.8

Look at the attached picture

Hope it will help you

Good luck on your assignment

Simplified version of the given radical expression would be...

\(5x^2\sqrt{7x}\)

Hope this helps!

The dominant strategy of Farmer Jones is to buy 10 cows.

To determine the dominant strategy of Farmer Jones, we need to compare the outcomes of his two options:

buying either 10 cows or 20 cows.

Let's analyze the potential outcomes for each case:

Buying 10 cows:

If Farmer Smith buys 10 cows:  

The total number of cows in the field would be 30, resulting in each cow producing $3000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

Buying 20 cows:

If Farmer Smith buys 10 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 50, resulting in each cow producing less than $2000 of milk (exact value unknown).

From the given information, we can observe that regardless of the strategy chosen by Farmer Smith, Farmer Jones is better off buying 10 cows.

In all scenarios, the milk production per cow is higher when Farmer Jones buys 10 cows compared to buying 20 cows.

Therefore, the dominant strategy for Farmer Jones is to buy 10 cows.

Formally, we can express this as follows:

For Farmer Jones, no matter the strategy chosen by Farmer Smith, buying 10 cows yields a higher milk production per cow compared to buying 20 cows.

Hence, Farmer Jones' dominant strategy is to buy 10 cows.

For similar question on  dominant strategy.

https://brainly.com/question/15019590  

#SPJ8

The values of x in each equation are;

1) 128

2) 1500

Forming an equation involves expressing a mathematical relationship or statement using mathematical symbols and symbols of equality. The goal is to represent a real-life situation, a mathematical problem, or a hypothesis in a clear and concise way that can be easily analyzed and solved.

We have that;

1) let the number be x

85/100 * x = 108.8

x = 108.8 * 100/85

= 128

2) Let the number of the kettle corn be x;

6/10 * 2500 = x

x = 1500

Learn more about equation:https://brainly.com/question/29657983

#SPJ1

The conversion of decimal number directly to binary number will be faster.

The number conversion deals with the operation to change the base of the number.

Binary number - It contains only 2 numbers that are 1 and 0.

Decimal number - It contains 10 numbers that are from 0 to 9.

Hexadecimal number - It contains 16 numbers that are from 0 to F.

Convert the decimal number 431 to binary will be

431 / 2 = 215 with 1 remainder

215 / 2 = 107 with 1 remainder

107 / 2 = 53 with 1 remainder

53 / 2 = 26 with 1 remainder

26 / 2 = 13 with 0 remainder

13 / 2 = 6 with 1 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

The decimal number 431 to binary number will be 110101111.

Convert first to hexadecimal and then from hexadecimal to binary. Then we have

(431)₁₀ = (1AF)₁₆ = (110101111)₂

More about the conversion of the number system link is given below.

https://brainly.com/question/655411

#SPJ1