Determine the equation of the inverse of y = 7x + 2

Therefore, the correct statistical decision is (b) reject the null hypothesis with either α = .05 or α = .01.

To determine the correct statistical decision, we need to compare the calculated F-ratio to the critical F-value based on the degrees of freedom and the chosen alpha level (α).

The degrees of freedom for the numerator (df between) is k - 1, where k is the number of conditions (k = 4 in this case). The degrees of freedom for the denominator (df within) is N - k, where N is the total sample size (N = 8 * 4 = 32).

Using a significance level of α = .05, we can consult an F-table or use statistical software to find the critical F-value with (k-1) and (N-k) degrees of freedom. For this case, the critical F-value is 3.10.

Since the calculated F-ratio (F = 4.60) is greater than the critical F-value (3.10) at α = .05, we can reject the null hypothesis and conclude that there are statistically significant mean differences among the four conditions.

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To identify the mass of the solute, subtract the total mass by the mass of the graduated cylinder.

Thus, we have the following:

To obtain the concentration of the solution, divide the obtained mass by the total volume and then simplify.

Thus, we have the following:

The value of x and y in the given system of equation are 5 and -2 respectively.

Given the equations in the question;

2x + 3y = 4 --------equ i

5x - 2y = 29-------equ ii

Using elimination method, multiply equation i by 2 and equation ii by 3

( 2x + 3y = 4 ) × 2

( 5x - 2y = 29 ) × 3

4x + 6y = 8

15x - 6y = 87

Next, we add the two equation

4x + 6y = 8

15x - 6y = 87

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

19x +  0 = 95

Solve for x

19x +  0 = 95

19x = 95

x = 95/19

x = 5

Next, substitute x=5 into equation i and solve for y

2x + 3y = 4

2(5) + 3y = 4

10 + 3y = 4

3y = 4 - 10

3y = -6

y = -6/3

y = -2

Therefore, the value of x and y in the given system of equation are 5 and -2 respectively.

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Answer:

400689

Step-by-step explanation:

(2√x+y)²

(2√16+625)²

(2.4+625)

(8+625)²

(633)²

400689

The area of a circle with a radius of 66 is 68.45.1cm^2.

We have given that,

The area of a circle with a radius, r = 66cm.

\(A=\pi r^2\)

Use the given value in the above formula

\(A=\pi (66)^2\\A=6845.1cm^2\)

The area of a circle with a radius of 66 is 68.45.1cm^2.

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Answer:

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -3x-4y-9 = 0 and calculate its properties. Graph of a Straight Line : Calculate the Y-Intercept : Notice that when x = 0 the value of y is 9/-4 so this line "cuts" the y axis at y=-2.25000. y-intercept = 9/-4 = -2.25000.

Step-by-step explanation:

Find the X and Y Intercepts 3x-4y=9. 3x − 4y = 9 3 x - 4 y = 9. Find the x-intercepts. Tap for more steps... To find the x-intercept (s), substitute in 0 0 for y y and solve for x x. 3 x − 4 ⋅ 0 = 9 3 x - 4 ⋅ 0 = 9. Solve the equation. Tap for more steps... Simplify 3 x − 4 ⋅ 0 3 x - 4 ⋅ 0.

The percentage of women who will be able to find shoes that fit in this store is 87.73%.

The distribution of foot lengths of women is approximately Normal with a mean of 23.2 centimeters and a standard deviation of 1.1 centimeters. Let X be the foot length of a woman. Thus, X ~ N(23.2, 1.1). Women's shoe sizes 5 to 9 correspond to foot lengths ranging from 21.6 to 25 centimeters. That is, 5 ≤ X ≤ 9. We need to calculate the percentage of women whose foot lengths fall between 21.6 and 25 cm.

We'll use the standard normal distribution to accomplish this. To transform the random variable X into the standard normal random variable Z, we will use the following formula: z = (x - µ) / σwhere, X is a normal random variable with mean µ and standard deviation σ. Using the values given, we can find the corresponding z-scores:z1 = (21.6 - 23.2) / 1.1 = -1.4545z2 = (25 - 23.2) / 1.1 = 1.6364

Using the standard normal distribution table, we can find the probabilities corresponding to these z-scores: P(z < -1.4545) = 0.0726P(z > 1.6364) = 0.0501Now, the percentage of women who can find shoes that fit in this store will be: P(-1.4545 < z < 1.6364) = 1 - P(z < -1.4545) - P(z > 1.6364) = 1 - 0.0726 - 0.0501 = 0.8773 or 87.73%.Therefore, 87.73% of women will be able to find shoes that fit in this store.

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Answer:

mIHE should be 133°

Step-by-step explanation:

A line is 180°, so, if you take 47° off you're left with 133.

Giving you an answer of 133°.

Answer:

  3c +5a = 5740

Step-by-step explanation:

Given 1500 people paid $3 for admission of children and $5 for admission of adults, resulting in a total of $5740 being collected, you have one equation that is c+a=1500. You want to know the second equation.

The equations you write will depend on the question being asked. Here, there is no question being asked, so we don't know what a suitable equation would be.

If you assume you want equations that would let you solve for the number of each kind of admission sold, then the other equation would make use of the revenue relation:

  3c +5a = 5740 . . . . . . . total collections for admission

__

Additional comment

It is fairly common modern practice to ask for a model of "this scenario," without specifying what aspects of the scenario are to be modeled. This question provides an example of that practice.

We could write a number of equations. One might be 3·6+2·5 = p, the price of admission for 6 children and 2 adults. Given the information in the problem statement, this is as good an equation as any.

Using the second equation we wrote above, the solution to the system of equations is (c, a) = (880, 620).

<95141404393>

Answer:

the answer is 1,071.7866666666666666666666666667.

Step-by-step explanation:

Given: height is 16 yards, diameter is 16 yards

first, we will recall the formula for the volume of a cone:

V= (1/3) · π · r² · h

We are given the diameter not the radius, in order to find the radius we will use

r = d/2

r = 16/2

r= 8

now that we know the radius we can plug in our values in the formula

V= (1/3) · 3.14 · 8² · 16

V= 3.14 · 64 · 16/3

V= 3.14 · 1024/3

V= 3,215.36/3

V = 1,071.7866666666666666666666666667

rounded: 1,071.79

The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer:

the answer is b

Step-by-step explanation:

-18V10

Answer:

B

Step-by-step explanation:

It will take 2 seconds a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s.

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

Given:

A constant acceleration is of 50 meter per second.

A jet to accelerate from 200 m/s to 300 m/s.

Acceleration is 100 meters per 2 seconds.

That means,

it will take = (300 - 200)/ 50 m/s

                = 2 seconds.

Therefore, it will take 2 seconds.

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Given the following system of equations:

y = -3x + 9

y = -x - 5

For us to be able to graph each of the equations, let's first determine the coordinates of its x and y-intercepts.

We get,

For y = -3x + 9,

At x = 0,

y = -3x + 9

y = -3(0) + 9

y = 9

Point 1 = 0, 9

At y = 0

y = -3x + 9

0 = -3x + 9

3x = 9

3x/3 = 9/3

x = 3

Point 2 = 3, 0

For y = -x - 5,

At x = 0,

y = -x - 5

y = 0 - 5

y = -5

Point 1 = 0, -5

At y = 0,

y = -x - 5

0 = -x - 5

x = -5

Point 2 = -5, 0

Let's now plot the two equations:

From the graph, it shows that the graph of the two equations intersects at 7, -12.

This point of intersection is also the solution for the system of equations.

Therefore, the answer is 7, -12.

The second-smallest positive integer that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

Given that,

We have to find the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3.

We know that,

We get equations as

N = 3a + 2

N = 7b + 3

Subtracting these equations we have that

3a - 7b - 1  = 0

3a - 7b =  1

So,

a=12 and b=5

The second integer we get is 38

Therefore, the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

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The given initial value problem (IVP) is a second-order linear differential equation. By solving the equation, we find that the solution is a real-valued function.

The given IVP is in the form of a second-order linear differential equation: \(xy'' - y'\)+ 5x - 1 = 5(x + 1). To solve this equation, we start by finding the homogeneous solution, which is the solution to the equation when the right-hand side is zero. We assume y = x^r and substitute it into the equation to obtain a characteristic equation, which in this case is r(r-1) - r + 5 = 0.

Simplifying the characteristic equation gives us\(r^2\) - 2r + 5 = 0. Solving this quadratic equation yields complex conjugate roots: r = 1 ± 2i. Since we need a real-valued solution, the complex roots indicate that the homogeneous solution involves trigonometric functions.

To find the particular solution, we use the method of undetermined coefficients. We assume a particular solution of the form \(y_p\) = a(x+1). Substituting this into the original equation, we determine that a = 1.

Therefore, the general solution to the differential equation is\(y = y_h + y_p, where y_h\)represents the homogeneous solution and \(y_p\)is the particular solution. The homogeneous solution can be written as\(y_h = C_1e^x*cos(2x) + C_2e^x*sin(2x), where C_1 and C_2\) are constants.

Applying the initial conditions y(1) = 2 and y'(1) = 8, we can determine the specific values of\(C_1 and C_2.\) Plugging these values into the general solution yields the unique solution to the given IVP.

In conclusion, the solution to the given IVP is a real-valued function obtained by solving the second-order linear differential equation and applying the given initial conditions.

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Answer:

ssssssssssssssssssssssssssss

Step-by-step explanation:

wwwwwwwwwww

a. the break-even quantity of super-taco combos needed to pay the monthly lease is 634 combos.

b. KJ's net profit after covering all fixed and variable costs, selling 1,500 taco bowls per month, is $1,300.

a. To calculate the break-even quantity of super-taco combos needed to pay the monthly lease, we need to consider the fixed and variable costs.

Fixed cost: Monthly lease = $950

Variable cost per super-taco combo:

Ground beef: $2.00

Tortilla Bowl: $0.25

Cheese: $0.25

Lettuce/Avocado: $1.50

Soda: $0.50

Total variable cost per super-taco combo = $2.00 + $0.25 + $0.25 + $1.50 + $0.50 = $4.50

To break even, the revenue from selling the super-taco combo should cover the fixed cost and the variable cost per combo. Therefore, the break-even quantity can be calculated as:

Break-even quantity = Fixed cost / (Selling price per combo - Variable cost per combo)

= $950 / ($6 - $4.50)

= $950 / $1.50

= 633.33

Rounded up to the nearest whole number, the break-even quantity of super-taco combos needed to pay the monthly lease is 634 combos.

b. If KJ can sell 1,500 taco bowls per month, we can calculate the net profit after covering all fixed and variable costs.

Total revenue = Selling price per combo × Quantity sold

= $6 × 1500

= $9,000

Total variable cost = Variable cost per combo × Quantity sold

= $4.50 × 1500

= $6,750

Total cost = Fixed cost + Total variable cost

= $950 + $6,750

= $7,700

Net profit = Total revenue - Total cost

= $9,000 - $7,700

= $1,300

Therefore, KJ's net profit after covering all fixed and variable costs, selling 1,500 taco bowls per month, is $1,300.

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The standard enthalpy change for the given reaction 2C + B ⟶ 2D is ∆H = -50 kJ/mol.

Hess's law is a useful tool for determining the standard enthalpy of a chemical reaction. Hess's law, which is based on the principle of energy conservation, states that the enthalpy change of a reaction is the same whether it occurs in one step or in a series of steps.

For this question, we have been given two chemical reactions, and we are supposed to find the standard enthalpy change for the given reaction using Hess's law.

Given the reactions:

1. A + B ⟶ C ∆H = -100 kJ/mol

2. A + 3/2B ⟶ D ∆H = -150 kJ

Now, to calculate the standard enthalpy change for the given reaction, we must first reverse the second reaction and multiply it by two as follows:

2D ⟶ A + 3/2B ∆H = +150 kJ/mol

Next, we will add the two equations to get the desired equation:

2C + B ⟶ 2D ∆H = -50 kJ/mol

Therefore, the standard enthalpy change for the given reaction 2C + B ⟶ 2D is ∆H = -50 kJ/mol.

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The answer is -48

Step-by-step explanation:

1/4x=12

Answer:

1 cup = 1/2 pint

Step-by-step explanation:

Answer:

B. 432

Step-by-step explanation:

Got it correct on the test.

Simplified:

3 x 8 x 2 x 9=432

2x2x2= 8

3x3=9

Step-by-step explanation:

step 1. wow! 670° I think you mean 67°

step 2. the 3 internal angles of a triangle add up to 180°. let x be the third angle

step 3. x + 102 + 67 = 180

step 4. x + 169 = 180

step 5. x = 11°.

Answer: X = -7

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

4 - 2(x - 3) = 24

Distribute

4 -2x +6 = 24

Combine like terms

10 -2x = 24

Subtract 10 from each side

10-2x-10 = 24-10

-2x = 14

Divide by -2

-2x/-2 = 14/-2

x = -7

Answer: 28 + 33 = 61

so

28/61 x100

=45.9% (1dp)

Step-by-step explanation: