Container A and container B have leaks.

Container A has 800 ml of water and is leaking 6 ml per minute.
Container B has 1000 ml and is leaking 10 ml per minute.
Let m represest the number of minutes the contains are leaking.

How many minutes, m, will it take for the two containers to have the same amount of water? Write and solve an equation to show your work.

Answer:

\

Step-by-step explanation:

Answer: first blank: jen

second blank: mean

Step-by-step explanation:

N/A

Answer:

So, she should add 13 trees per acre for maximum harvesting

Step-by-step explanation:

a farmer finds that if she plants 80 trees per acre, each tree will yield 55 bushels of fruit. she estimates that for each additional tree planted per acre, the yield of each tree will decrease by 2 bushels. how many trees should she plant per acre to maximize her harvest? trees

Let x be the number of trees per acre she adds

Total trees per acre = 80+x

Yield per tree = 55-2x

F(x) = 4400−105x−2x2

Applying differentiation,

F1 (x) = -105 – 4x

Putting F1 (x) =0, gives x = -270/4

X= -67.5

F11 (x) = -4 < 0, hence maximum at x =-67.5

Trees

80-67.5 = 13

So, she should add 13 trees per acre for maximum harvesting

Answer:

I think it is D

Step-by-step explanation:

64 4

27 3

16 2

so.

named width in java with a value of 1.55.

double length = 3.5; double width = 1.55;

Double is a data type in Java that supports storing decimal numbers. It is used to represent values that include a fractional component and is a 64-bit floating-point data type. When exact decimal numbers are required, as in financial or scientific computations, the double data type is frequently utilized. A double's range is roughly  ±\(5.0 \times 10^{-324}\) to ±\(1.7 \times 10^{308\) having a 15–17 decimal digit degree of accuracy.

For example:

double myDouble = 3.14; Alternatively, you may define a double variable without first giving it a value and then give it one later on in your code.

3.5 double length, 1.55 double width;

Learn more about Java

brainly.com/question/29897053

#SPJ4

Answer:

\(t(n)=12 \cdot 3^{n-1}\)

Step-by-step explanation:

From inspection, the points on the graph are:

Therefore, as terms of a sequence:

\(t_1=12\\\\t_2=36\\\\t_3=108\)

The difference between the y-coordinates is not equal, therefore the sequence is geometric.

Geometric sequence formula: \(t_n=t_1r^{n-1}\)

As \(t_1=12 \implies t_n=12r^{n-1}\)

To find r, divide one term by the previous term:

\(r=\dfrac{t_3}{t_2}=\dfrac{108}{36}=3\)

Therefore, geometric sequence formula: \(t_n=12 \cdot 3^{n-1}\)

The term least common denominator (LCD) is used when referring to the denominators in fractions.

The smallest common denominator shared by two or more fractions is referred to as the least common denominator (LCD).

They are the same when the common denominator also happens to be the smallest common denominator. The least common denominator will always be smaller than the common denominator if this is not the case.

There are numerators and denominators in fractions. The fraction's top and bottom halves are called the numerator and denominator, respectively.

A common denominator is a denominator that is shared by two or more fractions. They all require common denominators before two or more fractions may be added together or subtracted.

To know more about least common denominator visit: brainly.com/question/29267309

#SPJ4

The equation of the given conic, horizontal ellipse is (x - 5)²/5² + (y - 1)²/4² = 1 or 16x² + 25y² - 160x - 50y + 325 = 0.

In mathematics, an ellipse is the location of points in a plane so that their separation from a fixed point has a set ratio of "e" to their separation from a fixed line (less than 1). The conic section, which is the intersection of a cone with a plane that does not intersect the base of the cone, includes the ellipse. The eccentricity of the ellipse is symbolized by the constant ratio "e," the fixed point is known as the focus, and the fixed line is known as the directrix (d).

The ellipse formula equation aids in the algebraic representation of an ellipse. You may use the following formula to determine an ellipse's equation:

The ellipse's equation with a center at (0, 0) is as follows: x²/a² + y²/b² = 1.

An ellipse with a center at (h,k) has the following equation: (x - h)²/a² + (y - k)²/(b²) = 1, where a and b are the semi-major and semi-minor diameters.

In the question, we are given that the center (h,k) = (5,1), the major diameter = 10, or, a = 10/2 = 5, and the minor diameter = 8, or, b = 8/2 = 4.

Substituting in the equation, we get:

(x - 5)²/5² + (y - 1)²/4² = 1, in the general form, and,

16(x² + 25 - 10x) + 25(y² + 1 - 2y) = 100,

or, 16x² + 400 - 160x + 25y² + 25 - 50y = 100,

or, 16x² + 25y² - 160x - 50y + 325 = 0.

Thus, the equation of the given conic, horizontal ellipse is (x - 5)²/5² + (y - 1)²/4² = 1 or 16x² + 25y² - 160x - 50y + 325 = 0.

Learn more about conic equations at

https://brainly.com/question/16593680

#SPJ4

Answer:

I think it's -6. I have no idea

Answer:

113.04

Step-by-step explanation:

Since the diameter of a circle is twice the radius, the radius of this circle must be 12/2=6ft. Using the area formula:

\(A=\pi r^2 =3.14 \cdot 6^2=113.04 \text{ ft}^2\)

Hope this helps!

Answer:

113.04

Step-by-step explanation:

area = (pi)r^2

r = radius = diameter/2

r = 12 ft/2 = 6 ft

area = 3.14 * (6 ft)^2

area = 3.14 * 36 ft^2

area = 113.04 ft^2

Quantitative variables provide numerical measures of individuals. The measurements yield useful results and can be added to or removed from.

A quantitative variable is one for which the data display amounts (e.g. height, weight, or age). A categorical variable is one where the data indicate categories. As was discussed in the chapter's section on variables, quantitative variables are those that are measured on a numeric scale.

Height, weight, reaction speed, subjective pain rating, temperature, and exam score are a few examples of quantitative variables.

A quantitative study works with numbers and data, whereas a qualitative study concentrates on words and meanings. Variables can be quantified, and hypotheses can be tested quantitatively. You can go more deeply into concepts and experiences by using qualitative research methods.

To know more about variables:

https://brainly.com/question/30324686

#SPJ4

Answer:

$25

Step-by-step explanation:

First, you would do 80 x $0.25 = $20.  (Meaning 80 math problems he answered correctly times the $0.25 he got for each one correct.)

Next, you do $45 - $20 which equals $25.

In conclusion, he gets $25 from his uncle.

(a). The solution to triangular matrices is U[xyz] = [-102] by back substitution is x = -253.8, y = -1.96, and z = -34.
(b). The solution to L[xyz] = [321] by forward substitution is x = 2.2, y = 12.98, and z = 79.68.

(a) To solve the equation U[xyz] = [-102] by back substitution, we start from the last row.

The last equation gives us z = -102/3 = -34.
Next, we substitute the value of z into the second equation:

742y - 40(-34) = -102.

Simplifying, we have 742y + 1360 = -102.

Solving for y, we get y = (-102 - 1360)/742 = -1.96.
Finally, we substitute the values of y and z into the first equation: 100x - 40(-1.96) - 742(-34) = -102.

Simplifying, we have 100x + 78.4 + 25228 = -102.

Solving for x, we get x = (-102 - 25228 - 78.4)/100 = -253.8.
Therefore, the solution to U[xyz] = [-102] by back substitution is

x = -253.8, y = -1.96, and z = -34.

(b) To solve the equation L[xyz] = [321] by forward substitution, we start from the first row.

The first equation gives us x = 321/146 = 2.2.
Next, we substitute the value of x into the second equation:

25y + 3(2.2) = 321.

Simplifying, we have 25y + 6.6 = 321.

Solving for y, we get y = (321 - 6.6)/25 = 12.98.
Finally, we substitute the values of x and y into the third equation:

3z = 321 - 2(12.98) - 25(2.2).

Simplifying, we have 3z = 321 - 25.96 - 55.

Solving for z, we get z = (321 - 25.96 - 55)/3

= 79.68.

To know more about triangular matrices visit:

brainly.com/question/29113483

#SPJ11

The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

Learn more about the differentiation here:

brainly.com/question/954654

#SPJ11

Exponential functions are typically organized in this format:

\(f(x) = a*c^x\)

To find the equation given the graph of an exponential function:

Identify the horizontal asymptote

In this question, it appears to be x = 0.

Identify the y-intercept

The y-intercept is the value of y at which the graph appears to cross the y-axis. In this graph, it appears to be 100. This is our a value. Plug this into \(f(x) = a*c^x\):

\(f(x) = 100*c^x\)

Solve for c

We can use any point that falls on the graph for this step. For instance, (1,50) appears to be a valid point. Plug this into our equation and solve for c:

\(f(x) = 100*c^x\\50 = 100*c^1\\50 = 100*c\\\\c=\dfrac{1}{2}\)

Plug c back into our original equation:

\(f(x) = 100*(\dfrac{1}{2})^x\)

\(f(x) = 100*(\dfrac{1}{2})^x\)

The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.

Nt = N₀ × λ^t

Nt = Population size at generation t

N₀ = Current population size

t = Number of generations

λ = Finite rate of increase

λ = 1.2

N₀ = 150

Nt = 150 × 1.2²

Nt = 150 × 1.44

Nt = 216

Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.

Therefore, the expected population size be after two generations is 216

To know more about expected population size here:

brainly.com/question/20598565

#SPJ1

Answer:

two points, call them end points, and all of th other points in a straight line between them.

Step-by-step explanation:

wunderbar! well done,

a line between two points.

*your definition is correct but lacks mathmatical precision.

The inverse of the function \(y=e^{x-4}\) is obtained as y = log (x) + 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The function is given as - \(y=e^{x-4}\)

A function g is the inverse of the function f if for y = f(x) and x = g(y).

\(y=e^{x-4}\)

Replace x with y.

\(x=e^{y-4}\)

Now solve for y -

y = log (x) + 4

Therefore, the inverse is y = log (x) + 4.

To learn more about function from the given link

https://brainly.com/question/2284360

#SPJ1

Find the inverse of \(y=e^{x-4}\).

Answer:

3/4 = A

Step-by-step explanation:

-8+Ax(-8) - (-6)= -8 - 8A + 6

-3 + (-8)/2x4 = -3 -1= -4

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

-8 -8A + 6= -2(-4)

-8 + 8 +6=8A

6/8=A

3/4 = A

The value of the y-coordinate as calculated from the equation 10+10y=-20 is -3

The given equation is  10+10y=-20

We will solve this linear equation by taking the y coordinate of the function.

Subtracting 10 from both sides of the equation:

or ,10+10y -10 = -20 -10

or, 10y = -30

Dividing both sides by 10 we get:

or, 10y ÷10  = -30 ÷ 10

or, y = -3

In mathematical formulas, the equals sign is used to indicate that two expressions are equal. It's possible that the definitions of words like "equation" or their cognates vary slightly between languages. For instance, an equation is defined as having one or more variables, whereas an equation is any well-formed formula that consists of two expressions connected by the equals sign.

To learn more about coordinate visit:

https://brainly.com/question/21950350

#SPJ1

The marginal revenue at x=39 is approximately $7,220. It represents the additional monthly revenue generated by charging the 39th passenger $39, compared to the revenue generated from the previous passengers.

To evaluate the marginal revenue, we need to find the derivative of the revenue function R(x) with respect to x. The derivative gives us the rate of change of revenue with respect to the number of passengers. Taking the derivative of R(x)=8000x−10x^2, we get R'(x) = 8000 - 20x. At x=39, we substitute this value into the derivative: R'(39) = 8000 - 20(39) = 8000 - 780 = 7220. Therefore, the marginal revenue at x=39 is approximately $7,220. This means that for each additional passenger charged $39, the airline expects to generate an additional $7,220 in revenue. It represents the incremental revenue gained by increasing the price per passenger to $39 for the 39th passenger, compared to the revenue generated from the previous passengers.

Learn more about marginal revenue here:

https://brainly.com/question/30236294

#SPJ11

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

To learn more about polynomials

brainly.com/question/27287760

#SPJ4

Answer:

Step-by-step explanation:

y=0,3

x=-4,0

(-4,3)

The required coordinate of the image of p is under y = -1 is given as (-4, 4).

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate the y is called ordinate.

Here,
Coordinates of point P = (-4, 3)

Now,
\(R_{y = -1}(p)\)

The question of the image is given that
(x, y) ⇒ (x, -[y + 1])
        = (-4, -[3 + 1]) = (-4, -4)

Thus, the required coordinate of the image of p is under y = -1 is given as (-4, 4).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ5

A measurable part of a line that consists of two points, called endpoints, and all of the points between them are called Line sigments.

Geometry is a branch of mathematics that deals with how objects can be expressed as relationships of points, lines, planes, surfaces, and dimensions. When we draw lines in geometry, we use an arrow at each end to show that it expands infinitely. A line is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon. The figure below shows the line AB, where the length of the line AB is related to the distance between its endpoints, A and B. The symbol for the line is named after its two endpoints, e.g.

\( \bar{AB}\)

To learn more about line segment, refer:

https://brainly.com/question/28962970

#SPJ4

10.59 is the value of the given side b.

In our case, we know that side A has a length of 15 units and is opposite angle A, which measures 27 degrees.

Using the sine rule, we can write:

b/sin(27°) = 15/sin(40°)

To find the value of b, we can rearrange the equation:

b = (15 * sin(27°)) / sin(40°)

evaluate the trigonometric functions and calculate b:

b ≈ 10.59

Therefore, using the sine rule of the triangle, we find that the value of side b is approximately 10.59 units.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ1

The equation that represents a line that is perpendicular to the line MN is   y = 4x - 6 , the correct option is (d) .

In the question ,

it is given that ,

the required line is perpendicular to the the given line .

we can see that the line MN passes through the point M(-7,6) and N(5,3) .

so , the slope will be = (3-6)/(5+7) = -3/12 = -1/4.

the slope of the perpendicular will be = 4 .

on comparing the the options with the equation of line y = mx + d, we get

that only option(d) has slope 4 .

So , the equation of the perpendicular is ⇒ y = 4x - 6 .

Therefore , the equation of the required line is y = 4x - 6.

The given question is incomplete , the complete question is

Which equation represents a line that is perpendicular to line MN ?

Learn more about Lines here

https://brainly.com/question/21630316

#SPJ4