Function 1 is defined by the equation y = -2t + 6
Function 2 is defined by line h, shown on the following graph.
Which function has a more negative slope?

Choose 1 answer:
A. Function 1
B. Function 2
C. The functions have the same slope

The independent variable is the brand of algaecide. The dependent variable is the treatment of pool water with algae.

What is the independent and dependent variable?

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.

Here, we have

Given

A pool store owner wants to determine the effect of algaecide brands on the treatment of pool water with algae. He contacts customers who have purchased the brands of algaecide and asks their opinion of the algaecide.

We have to determine the independent variable and the dependent variable.

We concluded that the independent variable is the brand of algaecide and the dependent variable is the treatment of pool water with algae.

Hence, the independent variable is the brand of algaecide and the dependent variable is the treatment of pool water with algae.

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Answer:

try 45 if wrong sorry

Step-by-step explanation:

Answer:

(10,6)

Step-by-step explanation:

of you start at (8,6) X is left and right and Y is up and  down so yoy move left 6 unites meaning your now at (2,6) then you move right so you go back again and now you have (10,6) Hope this helps

It is requred to test the exactness of the given ODE and then find its general solution. Then, if the given ODE is not exact, an integrating factor must be used to make it exact.

This given ODE is:(2xy - 2y²e^(3x))dx + (x² - 2ye^(2x))dy = 0.To verify the exactness of the given ODE, we determine whether or not ∂Q/∂x = ∂P/∂y, where P and Q are the coefficients of dx and dy respectively, as follows: P = 2xy - 2y²e^(3x) and Q = x² - 2ye^(2x).Then, we have ∂P/∂y = 2x - 4ye^(3x) and ∂Q/∂x = 2x - 4ye^(2x).Thus, since ∂Q/∂x = ∂P/∂y, the given ODE is exact.To solve the given ODE, we have to find a function F(x,y) that satisfies the equation Mdx + Ndy = 0, where M and N are the coefficients of dx and dy respectively. This is accomplished by integrating both P and Q with respect to their respective variables. We have:∫Pdx = ∫(2xy - 2y²e^(3x))dx = x²y - y²e^(3x) + g(y), where g(y) is a function of y. We differentiate both sides of this equation with respect to y, set it equal to Q, and then solve for g(y). We have:(d/dy)(x²y - y²e^(3x) + g(y)) = x² - 2ye^(2x)Thus, g'(y) = 0 and g(y) = C, where C is a constant.Substituting the value of g(y) in the equation above, we get:x²y - y²e^(3x) + C = 0, as the general solution.The given ODE is exact, so we can solve it by finding a function that satisfies the equation Mdx + Ndy = 0. After integrating both P and Q with respect to their respective variables, we find that the general solution of the given ODE is x²y - y²e^(3x) + C = 0.

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Letter A) is -8, Letter B) is 64, Letter C) is 1/9, and Letter D) is 1/16.

Solution/Explanation:

A) -2³

-(2)(2)(2)

-8

B) 8²

(8)(8)

64

C) 9⁻¹

1/9¹

1/9

D) (-4)⁻²

1/(-4)²

1/(-4)(-4)

1/16

These are all of the final answers to your question.

Hope you found the answers you were looking for. Good day to you.

Answer:

yes, im pretty sure

Step-by-step explanation:

The Magna Carta quotation serves as a symbol of the principles upon which the Judicial department of government was founded. Option C is right as a result.

The idea that the king and his government were not above the law was originally codified in the Magna Carta, which was released in June 1215.

Magna Carta is a cornerstone of our individual liberty and it still serves as a protest against unconstitutional rule of law. Magna Carta, though not intended to be so at the time of its formation, has come to be seen by many as a pillar of democracy as well as liberty.

The Magna Carta paragraph serves as a symbol of the principles that guided the creation of the government's judicial branch. Hence, choice C is the right one.

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Complete question - “No free man shall be seized [arrested] or imprisoned, or stripped of his rights or possessions except by the lawful judgment of his peers” This quote from the Magna Carta shows the ideals that set up which branch of our government

A. Executive

B. Legislative

C. Judicial

D. Interior

E(Y^2) = 15 ∫[0, ∞](1/3 * y^2 * ∞) dy

Since the integral diverges, E(Y^2) does not exist and therefore Var(Y) cannot be computed

To compute E(X|y), we need to find the conditional expectation of X given a specific value of y. In this case, we have the joint probability density function f(x, y) = 15x^2y.

To find E(X|y), we integrate the product of X and the conditional probability density function f(x|y) over the range of X:

E(X|y) = ∫(x * f(x|y)) dx

Since the conditional probability density function f(x|y) can be obtained by dividing f(x, y) by the marginal density function f(y), we have:

f(x|y) = f(x, y) / f(y)

In this case, the marginal density function f(y) can be obtained by integrating f(x, y) over the range of x:

f(y) = ∫(15x^2y) dx = 5y

Therefore, the conditional probability density function becomes:

f(x|y) = (15x^2y) / (5y) = 3x^2

Now we can compute E(X|y):

E(X|y) = ∫(x * f(x|y)) dx = ∫(x * 3x^2) dx = ∫(3x^3) dx = [3/4 * x^4] evaluated from 0 to ∞ = ∞

Since the integral diverges, the conditional expectation of X given y does not exist.

To compute Var(X), we use the formula:

Var(X) = E(X^2) - (E(X))^2

Since E(X) does not exist, Var(X) cannot be computed.

To compute Var(Y), we use the formula:

Var(Y) = E(Y^2) - (E(Y))^2

To find E(Y^2), we integrate the product of Y^2 and the joint probability density function f(x, y):

E(Y^2) = ∫∫(y^2 * f(x, y)) dxdy

E(Y^2) = ∫∫(15x^2y * y) dxdy = 15 ∫∫(x^2y^2) dxdy

Integrating over the appropriate ranges, we obtain:

E(Y^2) = 15 ∫[0, ∞] ∫0, ∞ dxdy

E(Y^2) = 15 ∫[0, ∞](y^2 ∫0, ∞ dx) dy

E(Y^2) = 15 ∫[0, ∞](y^2 * [1/3 * x^3] evaluated from 0 to ∞) dy

E(Y^2) = 15 ∫[0, ∞](1/3 * y^2 * ∞) dy

Since the integral diverges, E(Y^2) does not exist and therefore Var(Y) cannot be computed.

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Answer:

this question to this question is 2

Answer:

zda dht5646788975432

Step-by-step explanation:

The value of  \(cos^{-1}(\frac{2}{3})\) is 0.84 radian or 48.18°

Given,

\(cos^{-1}(\frac{2}{3})\)

It is an inverse trigonometric function.

Inverse trigonometric functions are also known as "Arc Functions" because they produce the length of arc required to obtain a given value of trigonometric functions. Inverse trigonometric functions are the inverse of trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent. We know that trigonometric functions are particularly useful for right angle triangles. When two sides of a right triangle are known, these six important functions are used to find the angle measure.

Thus, the value of \(cos^{-1}(\frac{2}{3})\)  using a calculator is 0.84 radian or 48.18°

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Answer:

(1-14/x3) 6/(x+ 7/x2)1/2

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

You already know that TS = AB and TU = BC because it shows that in the images using the tick marks. SSS Triangle Congruence Postulate is when two triangles are congruent to each other because all the corresponding side lengths are equal to each other. So we already have two side lengths that are equal to each other, and, in order for SSS to be true, we need all 3 side lengths to be equal to each other. The only two side lengths not equal to each other yet are US and CA so if those were to be equal to each other, all corresponding side lengths would be equal to each other.

Let me know if you have any questions.

The value of c that makes the equation true is c = 64, when x = 6 and y = 3.

To find the value of c that makes the equation true, we can start by simplifying both sides of the equation using exponent rules and canceling out common factors.

First, we can simplify 3√(x^3) to x√x, and 3√y to y√y, giving us:

x√x/cy^4 = x/4y(y√y)

Next, we can simplify x/4y to 1/(4√y), giving us:

x√x/cy^4 = 1/(4√y)(y√y)

We can cancel out the common factor of √y on both sides:

x√x/cy^4 = 1/(4)

Multiplying both sides by 4cy^4 gives us:

4x√x = cy^4

Now we can solve for c by isolating it on one side of the equation:

c = 4x√x/y^4

We can substitute in the values of x and y given in the problem statement (x>0 and y>0) and simplify:

c = 4x√x/y^4 = 4(x^(3/2))/y^4

c = 4(27)/81 = 4/3 = 1.33 for x = 3 and y = 3

c = 4(64)/81 = 256/81 = 3.16 for x = 4 and y = 3

c = 4(125)/81 = 500/81 = 6.17 for x = 5 and y = 3

c = 4(216)/81 = 64 for x = 6 and y = 3

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Answer:

Stretch

Step-by-step explanation:

lol no such thing as stretch theres only reflection, translation, and rotation

Answer:

3)

Step-by-step explanation:

An equation is linear if equal changes in x produce equal changes in y.

Let's look at each choice.

1)

A decrease of 10% per year. That means each year, the value of the car is 0.9 times the value of the previous year.

For example, if the original value was $10,000, after 1 year, it is worth 0.9 * $10,000 = $9,000. In 1 year it lost $1,000. In the next year, its value is now 0.9 * $9,000. The value at the end of the 2nd year is $8,100. In the second year, it lost $900 in value. In one period of 1 year it lost $1000 in value. In another equal period of 1 year, it lost $900 in value. A change of 1 year in time produces different changes in loss of value, so it is not linear.

2)

Here, the number doubles every year. Let's say it starts with 100 fish. After 5 years, it has 200 fish. In a change of 5 years in x, the change in y is 100. In the next 5 years, it goes from 200 fish to 400 fish. The change in the second period of 5 years is 200. We see that a change of 5 years can produce a change of 100 fish, but another change of 5 years can produce a change is 100 fish. Since for equal changes in x, the changes in y are not all equal, this is not linear.

3)

Here for every change of 1 day in x, the change in y is 2 liters. Each change of 1 in x always produces a change of 2 in y. This is linear.

4)

Each 2 hours, the amount of caffeine is 2/3 of what it was before. This is similar to the choice 1), and it is not linear.

Answer: 3)

Answer:

16.50+91.25=91.25

91.25×40=3650

11.75-37.00=-25.25

Total cost, T of the catering service, which serves n people = T = 16.50n + 74.75 and T = 11.75n + 37.00

Given,

Charges per person = 16.50

Service charges = 74.75

Let n be the number of the people,

Let T be the total cost

Now, according to the given question,

T = 16.50n + 74.75

If n>=40

T = 11.75n + 37.00

So, we have 2 equations which define the total cost -

T = 16.50n + 74.75,

T = 11.75n + 37.00

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The total inductance of two inductors connected in parallel with inductance values of 2 H and 8 H (with no mutual inductance) is 1.6 H.

When two inductors are connected in parallel, the total inductance can be calculated using the formula for the equivalent inductance of a parallel combination, which states that the reciprocal of the total inductance is equal to the sum of the reciprocals of the individual inductances. In this case, we have two inductors with inductance values of 2 H and 8 H.

Using the formula, we can calculate the total inductance as follows:

1/L_total = 1/L1 + 1/L2

1/L_total = 1/2 + 1/8

1/L_total = 4/8 + 1/8

1/L_total = 5/8

L_total = 8/5

L_total = 1.6 H

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Answer:

excuse me so as not to steal ur points chat me up so I can solve it better

An equation is formed when two equal expressions. The equation of the line passing through the intersection and the point (-5,2) is y=(-0.3781)x+ 0.1092.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given the two equations x + 3y=0 and 4x − 4y −13=0. The intersection of the equation can be found as,

Solve the first equation for x,

x+ 3y = 0

x = -3y

Solve the second equation, by substituting,

4x − 4y −13=0

4(-3y) − 4y −13=0

-12y - 4y -13 = 0

-16y = 13

y = 13/(-16)

y = -0.8125

Substitute the value of x,

x = -3y

x = -3(-13/16)

x = 39/16

x = 2.4375

Hence, the coordinate of the point of intersection is (2.4375, -0.8125).

Now, the slope of the line passing through the intersection and the point (-5,2) is,

Slope, m = (2 + 0.8125)/(-5-2.4375)

              = -2.8125/7.4375

              = -0.3781

Substitute the slope and the coordinate in the equation of the line,

y = mx + c

2 = (-0.3781)(-5) + c

2 - 1.89 = c

c = 0.1092

Hence, the equation of the line passing through the intersection and the point (-5,2) is y=(-0.3781)x+ 0.1092.

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Answer:

Step-by-step explanation:

Lets start like this by adding 1 before every n to make it simple:

1n + 1n + 1n + 1n = 4n

Answer:

37(t)-10

Step-by-step explanation:

Answer: 7/11 probability it doesn’t land on green

Answer:

Since 4 bags cost $8, divide $8 by 4 bags and you get $2 for 1 bag.

The value of radius of a right circular cylinder is 1,248 in for which the minimum surface area is obtained.

Volume of the  right circular cylinder be;

v(c) = 12 in³ =  π*r²*h    

In which, h is the height of the cylinder,

Then , h  =  12 / π*r²

Surface area of a right circular cylinder is:

S = area of base and top  + lateral area

S(A)  =  2*π*r²  + 2*π*r*h  ....eq 1

Put value of 'h' in equation (1)

S(r)  =  2*π*r² +   2*π*r*  ( 12 / π*r²)

S(r)  =  2*π*r² + 24 /r

Differentiate both sides,

S´(r)  =  4*π*r -  24 /r²

Put , S´(r)  = 0 to get the critical points.

4*π*r -  24 /r²  =  0

π*r - 6/r² = 0

π*r³ - 6  = 0

r³   =  1,91    

r = 1,248 in    

Check for the minimum surface area for r = 1,248 in.

Find the second derivative,

S´´(r)  =  4*π  +  48/r³    

S´´(r)  will always be positive.

Thus,  the minimum surface area S  is for   r = 1,248 in.

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Answer:

IL and JK

Step-by-step explanation:

We can see that those line segments have the little arrow

This arrow indicates that the two segments are parallel

Answer:

c. \(3(10)^{6}\)

Step-by-step explanation:

Hope this helps

Answer: -10

Step-by-step explanation:

Simplifying

-3(y + 5) = 15

Reorder the terms:

-3(5 + y) = 15

(5 * -3 + y * -3) = 15

(-15 + -3y) = 15

Solving

-15 + -3y = 15

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + -3y = 15 + 15

Combine like terms: -15 + 15 = 0

0 + -3y = 15 + 15

-3y = 15 + 15

Combine like terms: 15 + 15 = 30

-3y = 30

Divide each side by '-3'.

y = -10

Simplifying

Answer:

4(9a-4)

Step-by-step explanation:

36a - 16

We can factor 4 from each expression.

4*9a - 4*4

4(9a-4)

Answer:

45440

Step-by-step explanation:

32,000*6*.07=13440

13440+32,000+45,440

The amount we have to pay at the end of the 6month period will be $33,120. The rate of interest on the loan is given as per annum and therefore; the interest is to be calculated for 6 months.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Calculation of settlement amount of loan:

Given:

Principle= $32,000

Rate= 7%

Tenure= 6 months

Interest is calculated from the following formula;

Interest= Principle x rate x tenure

Therefore the interest for the loan will be;

Interest = $32,000 x 7 x 6 months

           = 32,000 x 7/100 x 6/12

           = $1,120

The final payment for the loan will be the combination of principal and interest.

Therefore final payment = $32,000 +$1,120

                                         = $33,120

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