The area of the base, or bottom, of a canister can be found by dividing its volume by its height. What is the area of the base of a canister that has a volume of 43.96 cubic inches and a height of 3 inches?

Answer:

47.3

Step-by-step explanation:

A triangles angles add up to 180 degrees

At 42.7 and 90 and you get 132.7

Subtract 132.7 from 180 and you get 47.3 degrees.

Answer:

A. 47.3°

Step-by-step explanation:

The sum of all the angles in a triangle equals 180°, so we need to subtract 42.7° and 90° from 180° to get ∠N.

180° - 90° - 42.7° = 47.3°

∠N = 47.3°

Thats too many questions mam Step-by-step explanation:

Answer:

Step-by-step explanation:

diagonal line = 180 = x + 90

180 - 90 = x

90 = x

therefore, x = 90°

Answer:

P = 12x - 9

Step-by-step explanation:

To find the perimeter of the triangle, we just add all of the sides.

The formula is:

P = a + b + c

Given:

a = 5x - 6

b = 4x - 3

c = 3x

Work:

P = a + b + c

P = 5x - 6 + 4x - 3 + 3x

P = 12x - 9

Answer:

let x adult and y student attended

x+y= 94

x=94-y

again

4x+2y = 294                               53 adults and 41 student attended

376-4y+2y =294                                           the  event

2y =82

y=41

substituting the value of y in

x+y =94

x= 94-41 = 53

Step-by-step explanation:

Skew lines are the lines that are neither parallel nor intersecting.

The above statement is not possible for coplanar lines so it can be concluded that skew lines are non coplanar.

Hence the statement Lines that do not intersect and are not in the same plane which is option D justifies the definition of skew lines.

Hence option D is correct.

The relation S on the set of complex numbers C is defined as S = {(x, y) ∈ C²: y - x is real}. In order to prove that S is an equivalence relation, we need to demonstrate that it satisfies the three properties: reflexivity, symmetry, and transitivity.

To prove that S is an equivalence relation, we need to show that it satisfies the three properties: reflexivity, symmetry, and transitivity.

Reflexivity: For any complex number x, we need to show that (x, x) ∈ S. Since y - x = x - x = 0, which is a real number, we have (x, x) ∈ S. Therefore, S is reflexive.

Symmetry: For any complex numbers x and y such that (x, y) ∈ S, we need to show that (y, x) ∈ S. Since y - x is a real number, it implies that x - y is also a real number. Thus, (y, x) ∈ S. Therefore, S is symmetric.

Transitivity: For any complex numbers x, y, and z such that (x, y) ∈ S and (y, z) ∈ S, we need to show that (x, z) ∈ S. Suppose y - x and z - y are both real numbers. Then, their sum (z - y) + (y - x) = z - x is also a real number. Hence, (x, z) ∈ S. Therefore, S is transitive.

Since S satisfies the properties of reflexivity, symmetry, and transitivity, we can conclude that S is an equivalence relation to C.

Learn more about complex numbers here:- brainly.com/question/20566728

#SPJ11

There is 99% confidence that the population standard deviation is between [lower bound, upper bound].

To construct the 99% confidence interval for the standard deviation of pH in rainwater, we use the chi-square distribution. Since the data suggests that the population follows a normal distribution and there are no outliers, we can assume that the chi-square distribution is appropriate.

The critical values of the chi-square distribution are required to construct the confidence interval. The degrees of freedom for the chi-square distribution are determined by the sample size (n-1), where n is the number of observations in the sample. In this case, the sample size is 12, so the degrees of freedom will be 11.

Using the table of critical values of the chi-square distribution or statistical software, we can find the chi-square values corresponding to the upper and lower percentiles. For a 99% confidence interval, we need to find the chi-square values that enclose 99% of the area under the curve, which is divided equally between the upper and lower tails.

Once we have the chi-square values, we can calculate the confidence interval using the formula:

CI = [(n-1)s² / X²_upper, (n-1)s² / X²_lower]

where s is the sample standard deviation and X²_upper and X²_lower are the critical values of the chi-square distribution. After calculating the confidence interval, we can interpret it as follows: There is 99% confidence that the population standard deviation is between [lower bound, upper bound].

Learn more about standard deviation here:

https://brainly.com/question/13336998

#SPJ11

Answer:

Time, t = 2.44 seconds

Step-by-step explanation:

Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by :

\(h=-4.9t^2+12t\)

It is required to find the time after which Logan will hit the ground. At this point, h = 0

\(-4.9t^2+12t=0\\\\t(-4.9t+12)=0\\\\t=\dfrac{12}{4.9}\\\\t=2.44\ s\)

So, after 2.44 seconds it will hit the water.

4 Wrong Answers

\(Correct = 11*4=44\)

\(Incorrect = Correct - 40 = 4\)

Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

To know more about Laplace transforms visit

https://brainly.com/question/30759963

#SPJ11

The probabilities for each case are:

There are 8 reservations for passengers that may go or not, such that the probability of arriving to the flight is P = 0.42, and the probability of not arriving is Q = 0.58

a) There will be overbooking if 7 or more passengers go to the flight, the probability that the 8 attend is:

P(8) = (0.42)^8

The probability that 7 attend is:

P(7) = 8*(0.42)^7*(0.58)

(where the factor 8 is because there are 8 permutations)

The total probability is:

P = P(8) + P(7) = 0.012

b) Will be empty seats if less than 6 people go.

The probability that exactly 6 of these people go to the flight is:

P(6) = (28)*(0.42)^6*(0.58)^2

Where there are 28 permutations, that is why we used that factor.

Then, the probability of having empty seats is:

P = 1 - P(6) - P(7) - P(8) = 0.937

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

So the vector form of the quadratic function y = x² + 6x + 5 is: y = (x + 3)² - 4.

To change from standard form to vertex form, we need to complete the square.

First, we group the x-terms together and factor out any common coefficient of x², giving:

y = x² + 6x + 5

y = 1(x² + 6x) + 5

Next, we need to add and subtract a constant inside the parentheses to complete the square. To determine this constant, we take half of the coefficient of x (6) and square it:

(6/2)² = 9

So we add and subtract 9 inside the parentheses:

y = 1(x² + 6x + 9 - 9) + 5

Now we can factor the quadratic expression inside the parentheses as a perfect square:

y = 1[(x + 3)² - 9] + 5

Simplifying and rearranging terms, we get:

y = (x + 3)² - 4

To know more about vector,

https://brainly.com/question/20426452

#SPJ11

Answer:

420

Step-by-step explanation:

The graph bellow shows that 60 per minute is the distance that marc ran

so i would have to multiply

60 by 7 which equals 420

Hope this helps

Answer: x=3-4y

                 _____

                   5

Step-by-step explanation:

The expression that shows how many sweatshirts were not adult sizes is  s - 19 .

Given :

the lacrosse team sold s team booster sweatshirts, and 19 of them were adult sizes.

Expression :

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Expression = number of sold sweatshirts - number of adult sizes.

= s - 19.

This gives the number of sweatshirts that are not adult sizes

if s = 25

then not adult sizes sweatshirts = s - 19

= 25 - 19

= 6

Hence the expression is s - 19.

Learn more about the expression here:

https://brainly.com/question/14083225

#SPJ4

ok

1.- Calcualte the total price for 19 sticks

price = 19 x 26

= $494

2.- Conclusion

there is not enough money to buy the sticks the total cost is

$494 and he only has $480.

3.- He needs 494 - 480 = $14 more money

Answer:

x = 2, x = 9

Step-by-step explanation:

Given

x² - 11x + 18 = 0

Consider the factors of the constant term (+ 18) which sum to give the coefficient of the x- term (- 11)

The factors are - 2 and - 9, since

- 2 × - 9 = + 18 and - 2 - 9 = - 11 , thus

(x - 2)(x - 9) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 9 = 0 ⇒ x = 9

The p-value is a statistical term that represents the probability of observing an outcome as extreme as or more extreme than the observed outcome, given that the null hypothesis is true. It is used to determine whether the null hypothesis should be rejected or accepted. If the p-value is less than the level of significance (alpha), the null hypothesis can be rejected, and the alternative hypothesis can be accepted.

Large p-values indicate that there is not enough evidence to reject the null hypothesis. A large p-value implies that the observed result is not significant, and the null hypothesis is supported.

The alpha level is a significance level that is set in advance of conducting a hypothesis test. It determines the level of evidence required to reject the null hypothesis. The alpha level is usually set at 0.05, meaning that the null hypothesis can be rejected if the p-value is less than 0.05.

A result is statistically significant if it is unlikely to have occurred by chance. In other words, if the p-value is less than or equal to the alpha level, the result is considered statistically significant, and the null hypothesis can be rejected.

A 95% confidence interval corresponds to a two-sided hypothesis test at an alpha level of 0.05. This means that the null hypothesis can be rejected if the observed outcome falls outside the confidence interval with a probability of 0.05 or less.

A 90% confidence interval corresponds to a one-sided hypothesis test at an alpha level of 0.1. This means that the null hypothesis can be rejected if the observed outcome falls outside the confidence interval with a probability of 0.1 or less.

To know more about probability refer here:

https://brainly.com/question/30034780

#SPJ11

The Solution set for the inequality x - \(6\frac{1}{3}\) ≤ \(1\frac{1}{2}\)  is {x | x ∈ R, x ≤ \(7\frac{5}{6}\)}  , the correct option is (a) .

In the question ,

the inequality is given as

x - \(6\frac{1}{3}\) ≤ \(1\frac{1}{2}\)

we first convert the complex fractions into normal fractions ,

\(6\frac{1}{3}\) = (6 * 3 + 1)/3 = 19/3

and  \(1\frac{1}{2}\) = (1 * 2 + 1)/2 = 3/2

rewriting the given inequality , we get

x - 19/3 ≤ 3/2

adding 19/3 to both sides of the equation ,

we get ,

x ≤ 19/3 + 3/2

Taking LCM of 3 and 2 as 6 and

Simplifying further ,

we get ,

x ≤ 38/6 + 9/6

x ≤ 47/6

x ≤ \(7\frac{5}{6}\)

Therefore , the solution set is {x | x ∈ R, x ≤ \(7\frac{5}{6}\)}  .

The given question is incomplete , the complete question is

Given: x - \(6\frac{1}{3}\) ≤ \(1\frac{1}{2}\) . Choose the solution set.

(a) {x | x ∈ R, x ≤ \(7\frac{5}{6}\)}

(b) {x | x ∈ R, x ≤ \(7\frac{2}{5}\)}

(c) {x | x ∈ R, x ≤ \(5\frac{1}{6}\)}

Learn more about Inequality here

https://brainly.com/question/503085

#SPJ4

(a) The figure is line Segment

(b)The figure is line.

(c )The figure is ray.

Line segment: An part of a line with two endpoints is called a line segment. Different shapes, including triangles, polygons, hexagons, and squares, are constructed using a variety of line segments. A line segment's length is its measurement.

Line: A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.

Ray: Ray is a further link in the chain. It consists of a line and a line segment combination with one terminating end and an eternally extending end. Its length cannot be calculated since one of its ends is non-terminating.

Line segment, Line and Ray:

A line segment is a section of a line with two ends that has a quantifiable length. A ray, on the other hand, has only one fixed point (its starting point), but no endpoint. Therefore, its length cannot be determined.A line can be extended on both sides and has no ends. In contrast, a line segment cannot be extended on both sides because it has two endpoints.

To learn more about visit Line segment, Line and Ray:https://brainly.com/question/14447004

#SPJ9

Answer: and the top right one is a 115 degree angel

Step-by-step explanation: I hope I helpt you with this

Answer:

bru its was in my head now its gone

Step-by-step explanation:

Answer:

F= ma is the formula of Newton’s Second Law of Motion.

Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.

Answer:

your new balance is -47$

Step-by-step explanation: it is now -47 $ because 35 + 12 is 47.

Answer:

$2,000

Step-by-step explanation:

$250-$50=$200

$200*10=$2,000

Answer:

y = 3x + 1

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

T A can be seen as a linear transformation from R^2 to R^3.

To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:

T A (x) = A x

Therefore, T A can be seen as a linear transformation from R^2 to R^3.

To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:

A =  (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])

The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].

To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.

If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.

Learn more about  linear  from

https://brainly.com/question/2030026

#SPJ11

TRUE.

The Lorenz curve is a graphical representation of income distribution within a population. It plots the cumulative percentage of income received against the cumulative percentage of the population. The closer the Lorenz curve is to the diagonal line, the more evenly distributed income is within the population.

Conversely, if the curve is further from the diagonal, the greater the degree of income inequality. This is because a curve that is further from the diagonal indicates that a smaller percentage of the population holds a larger percentage of the income.

Therefore, if the Lorenz curve is closer to the diagonal, it suggests that the distribution of income is more equal within the population. In contrast, a curve that is further from the diagonal shows that income inequality is more pronounced.

Policymakers can use the Lorenz curve to evaluate the level of income inequality within a population and implement policies that aim to reduce the disparities between income earners.

To know more about The Lorenz curve refer here

https://brainly.com/question/14233099#

#SPJ11