PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANNIEST
( PLEASE SHOW WORK OR I MIGHT NOT GIVE BRAINIEST )

Answer:

Area of a rectangle is length *width

Therefore the area is 378cm square

The average amount of coffee drank by each person is given as follows:

0.075 gallons per person.

The average amount of coffee drank by each person is obtained applying the proportions in the context of the problem.

A proportion is applied as the average amount is given by the total amount of coffee drank divided by the number of people.

Hence the average amount is calculated as follows:

18/240 = 0.075 gallons per person.

The problem asks for the average amount of coffee drank by each person.

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Answer:

a = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Coordinate Planes

Step-by-step explanation:

Step 1: Define

Identify.

9x - 5y = -9

(a - 1, 9)

Step 2: Solve for a

b = -15.

Thus, for any value of a = 6 and b = -15, any value of x would be a solution of the equation 3(2x-5) = ax + b.

To find the values of a and b for which any value of x would be a solution of the equation 3(2x-5) = ax + b, we need to consider the properties of the equation.

In the equation 3(2x-5) = ax + b, the left side represents a linear expression that simplifies to 6x - 15. We can equate this to the right side, ax + b.

So, we have the equation 6x - 15 = ax + b.

For any value of x to be a solution, the left side and the right side of the equation should always be equal, regardless of the value of x.

To achieve this, we need the coefficients of x to be equal on both sides of the equation. This means that the coefficient of x on the left side (which is 6) should be equal to the coefficient of x on the right side (which is a).

Therefore, a = 6.

Additionally, the constant term on the left side (-15) should be equal to the constant term on the right side (which is b).

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Answer:

A- mercury and helium

b- 1034.86

Step-by-step explanation:

Juana would have to pay approximately $29.40 in interest for the $10,686.00 loan over a 20-day period, assuming an annual interest rate of 5.79%.

The interest Juana would have to pay in 20 days can be calculated using the formula:

Interest = Principal × Interest Rate × Time

In this case, the principal amount is $10,686.00 and the interest rate is 5.79% per annum. To calculate the interest for 20 days, we need to convert the time to a fraction of a year. Since there are 365 days in a year, the time in years would be 20/365.

Using the formula and substituting the values:

Interest = $10,686.00 × 0.0579 × (20/365)

Calculating this expression, we find that the interest amount Juana would have to pay in 20 days is approximately $29.40.

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(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)

Let us find the dual of the above primal problem.

Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)

and\($y_1, y_2, ..., y_m \geq 0$\)

(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)

Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)

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Answer:

3 ft/sec

Step-by-step explanation:

Two clear points to look at are (0,0) and (4,12)

Rate of Change is (12-0)/(4-0)=12/4=3

Answer:

3 feet per second

Step-by-step explanation:

it was 8 seconds and 24 feet at one and 8 times 3 would be 24

The product of the expressions is -1.5xy⁻¹ or -3x/2y after simplification and y ≠ 0.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

\(= \rm -1\times\dfrac{3x}{2y}\)

Here y ≠ 0 if y = 0 then the expression will be not defined.

After multiplication with a negative quantity.

= -3x/2y or

= -1.5xy⁻¹

Thus, the product of the expressions is -1.5xy⁻¹ or -3x/2y after simplification and y ≠ 0.

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To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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Answer:

73

Step-by-step explanation:

180

In observational studies, the variable of interest The correct answer is (a) is not controlled.

The variables are measured as they occur naturally, without any manipulation or intervention by the researcher. Therefore, the variable of interest is not controlled in observational studies.

Observational studies are used in situations where it is not feasible or ethical to conduct controlled experiments, such as in studies of the effects of environmental exposures or lifestyle factors on health outcomes. In these studies, the researcher cannot control the exposure or intervention and must rely on observational data to draw conclusions about the relationship between the exposure and the outcome.

The other options are not correct because:

b. If the variable of interest is controlled, then the study is a controlled experiment, not an observational study.

c. The variable of interest can be numerical or categorical in observational studies.

d. The variable of interest does not have to be numerical in observational studies, as it can also be a categorical variable

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Step-by-step explanation:

See your image below:

Answer: The slope is  -2.

Step-by-step explanation:

(2,-3)

(-2,5)

Using the two given points,  you can find the slope by finding the difference in the y coordinates and diving it by the difference in the x coordinates.

y coordinates:  -3 - 5= -8

x coordinates;  2-(-2) = 4  

Slope:  -8/ 4 = -2  

The general solution of the system of ODEs using matrices in real form is:x = (1/5)exp(2t) - (2/5)exp(6t), y = (3/5)exp(2t) + (2/5)exp(6t).

Given the following system of ODEs:3x + 2y = x,  y = 5y – 3x and initial values x(0) = 1, y(0) = 2.

This system can be rewritten in matrix form as: X' = AX + B, where X = [x y]', A = [3 2; -3 5], and B = [0 0]'.

Finding the general solution of the system of ODEs using matrices.

We can use the matrix exponential method to solve the system of ODEs.

The general solution can be written as: X = exp(At)X(0), where t is the independent variable, X(0) is the initial condition, and exp(At) is the matrix exponential of A.

The matrix A has eigenvalues λ1 = 2 and λ2 = 6, with corresponding eigenvectors v1 = [1 1]' and v2 = [-2 3]'.

Therefore, we can write A in the form A = PDP-1, where P = [v1 v2] and D = [λ1 0; 0 λ2].

The matrix exponential of A is given by: exp(At) = Pexp(Dt)P-1.

We can compute exp(Dt) as follows: exp(Dt) = [exp(2t) 0; 0 exp(6t)].

Therefore, the general solution of the system of ODEs is:

X = Pexp(Dt)P-1

X(0) = [1 2]'

= P[c1 c2]

c1 = (1/5)exp(2t) + (3/5)exp(6t)

c2 = (-2/5)exp(2t) + (2/5)exp(6t)

Therefore, the general solution of the system of ODEs using matrices in real form is: x = (1/5)exp(2t) - (2/5)exp(6t), y = (3/5)exp(2t) + (2/5)exp(6t).

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For the figure shown in the image having TV as the midsegment, the length of TV is 40

When the comparable triangles' angles are congruent and their respective sides are proportionate, this is referred to as similar triangles in geometry.

In light of this, if the triangle's corresponding angles are congruent, then the side should be proportionate.

For the given figure, the proportionate sides are

UV and TV, UW and WX

Calculating for s

UV / TV = UW / WX

1 / (-2s + 42) = 2 / (3s + 77)

cross multiplying

3s + 77= 2(-2s + 42)

3s + 77= -4s + 84

collecting like terms

3s + 4s = 84 - 77

7s = 7

s = 1

solving for TV

= -2s + 42

= -2 * 1 + 42

= 40

the value of TV is 40

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Answer:

-1.5

Step-by-step explanation:

The value of y when x = 4 is 3.

In this given condition statement, if x is greater than 5, the value of y is 1. If x is less than 5, there is an additional condition.

If x is less than 3, the value of y is 2.

Otherwise, if x is not less than 3, the value of y is 3. Lastly, if x is equal to 5, the value of y is 4.

In the case of x = 4, x is less than 5 but not less than 3.

Therefore, the condition statement within the else condition is satisfied, resulting in the value of y being 3.

This means that when x is equal to 4, the value of y equals 3 as per the given conditions.

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Answer:

C 14

Step-by-step explanation:

a ) smaller is correct answer

The area of the new TV is 823.01 square inches.

A ratio indicates the number of times one number contains another.

Given that, the area of the 32-inch TV is 446.38 square inches.

Therefore,

32 inches = 446.38 square inches

1 inch = 446.38/32 square inches

59 inches = (446.38/32)×59 square inches

59 inches = 823.01 square inches

Hence, the area of the new TV is 823.01 square inches.

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Answer: To find the number of liters of water in the first pool after x minutes have passed, we can use the formula:

972 + 17x

To find the number of liters of water in the second pool after x minutes have passed, we can use the formula:

44x

Note that both of these formulas assume that the pools are being filled continuously, without any interruptions. If the flow of water into either pool is interrupted at any point, the actual amount of water in the pools may be different from what these formulas predict.

Answer:

a)

17x + 972

44x

b)

972 + 17x = 44x

Step-by-step explanation:

The coordinates of point Q in the parallelogram is (2b + 2a,2c)

The coordinates are given as:

P(2b, 2c) Q(?, ?) S(0, 0) R(2a, 0)

The parallelogram form of the object indicates that the distances PQ and RS are equal.

The distance RS is calculated as:

RS = ( 2a - 0, 0)

This gives

RS = (2a, 0)

Coordinate Q is calculated as:

Q = P + RS

This gives

Q = (2b,2c) + (2a,0)

Evaluate the sum

Q = (2b + 2a,2c)

Hence, the coordinates of point Q is (2b + 2a,2c)

Midpoint of SQ=(b+ a ,c)

Midpoint of PR=(a+ b, c)

hence, SQ and PR bisect each other.

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Answer:

106

Step-by-step explanation:

3^4=81

5·5=25

81+25=106

Answer:

D.10

Step-by-step explanation:

180 - 50 - 75 = 55

55 + 5 = 60

60/6 = 10

The company earned 68 billion dollars from 2008 to 2018.

According to the statement

we have given that the company's particular sales in expression are represented by (t² + 10t + 68)

And we have to find the constant terms in this expression which represent the sale of the company.

So, The given expression is (t² + 10t + 68)

From above expression it is clear that the it is in the form of Quadratic Equations.

So, The Quadratic equation, is an equation containing a single variable of degree 2. Its general form is ax^2 + bx + c = 0, where x is the variable and a, b,c are the known numbers and C is the Constant.

The general representation of Quadratic equation is

ax^2 + bx + c = 0  -(1)

and the given expression are

(t² + 10t + 68)  -(2)

After comparing both equations

Here C =68 = Constant.

So, 68 is the Constant term of the expression represent in terms of the context.

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Disclaimer: The question was incomplete. Please find the full content below.

Question:

A particular company's net sales, in billions, from 2008 to 2018 can be modeled by the expression t2 + 10t + 68, where t is the number of years since the end of 2008. What does the constant term of the expression represent in terms of the context?

The company earned 68 billion dollars from 2008 to 2018.

The company earned 68 billion dollars in 2008.

The company earned 10 billion dollars from 2008 to 2018.

The company earned 10 billion dollars in 2008.

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The (+2) and (-8) in y = (x + 2)² - 8 shift the graph up two units and down eight units, respectively.

It is called quadratic because the highest degree of the equation is two. This type of equation is used to calculate the roots of a polynomial, which are the values of x where the equation equals 0.

The (+2) in y = (x + 2)² - 8 shifts the graph up two units on the y-axis.

This is because the addition of two to x before squaring it creates a quadratic equation which will create a graph which is two units higher than the graph created by the original equation.

The (-8) in y = (x + 2)² - 8 shifts the graph down eight units on the y-axis. This is because subtracting 8 from the squared term creates a graph which is eight units lower than the graph created by the original equation.

Therefore, the (+2) and (-8) in y = (x + 2)² - 8 shift the graph up two units and down eight units, respectively.

This creates a graph which is six units lower than the graph created by the original equation.

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Answer:

x = 1/5(k-14)

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x+14-14 = k-14

5x = k-14

Divide by 5

5x/5 = 1/5(k-14)

x = 1/5(k-14)

Answer: 36665584540

Step-by-step explanation:

Answer:

36,665,584,540

Step-by-step explanation:

i calculator the numbers in a paper and add them like i did in 7th grade like

Example:  

  12,220

  3000457

+_______________

                ????➡⬇

               36,665,584,540

                            ⬇

                        ✔ ✔ ✔