Five cakes were cut into eighths and sold. Each slice costs $1.50. How much money did the cakes bring in? ​

The number is -5/6.

Let's represent the number as "x".

The given information can be translated into an equation as follows:

2x * 6 = 11x - 5/6

To solve for x, we need to simplify and isolate the variable.

12x = 11x - 5/6

To eliminate the fraction, we can multiply the entire equation by 6:

72x = 66x - 5

Next, we can move the variables to one side and the constant terms to the other side:

72x - 66x = -5

6x = -5

Finally, we can solve for x by dividing both sides of the equation by 6:

x = -5/6

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Answer:

A+B+C = 2(x+y)²

do rest in same manner

Answer:400

Step-by-step explanation:3704

The width of the pool is approximately 0.67 feet or 8 inches. To find the width of the pool, we can use the given information about the volume of water it holds and the relationship between volume and dimensions.

First, we calculate the volume of the pool using the formula: Volume = length × width × height. Since the length is given as 5 feet and the height is 6 feet, we can substitute these values into the formula: Volume = 5 × width × 6.

Next, we convert the volume from gallons to cubic feet by dividing by the conversion factor of 7.5 gallons per cubic foot: (150 gallons) / (7.5 gallons per cubic foot) = 20 cubic feet.

Now we can set up the equation: 20 = 5 × width × 6.

To solve for the width, we divide both sides of the equation by (5 × 6): width = 20 / (5 × 6).

Evaluating the expression, we find that the width of the pool is approximately 0.67 feet or 8 inches.

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the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.

(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.

(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.

(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.

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Answer:

c

Step-by-step explanation:

Answer:

11 and 9

Step-by-step explanation:

X+Y=20

X*Y=99

Y=20-X

X*(20-X)=99

20X-X^2=99

20X-X^2–99=0

-(X - 11) (X - 9) = 0

Two solutions

X-11=0, X=11

X-9=0, X=9

Y=20-X, so if X is 9, Y is 11

Y=20-X, so if X is 11, Y is 9

The two numbers are 11 and 9

a. The function n(p) that represents the cost of the paints with the 15% discount is n(p) = 6.99p - 0.15(6.99p).

b. The 15% discount reduces the cost of the paints from 34.95 to 29.70.

Discount is term used for reduction in the original price of a good or service. It is a common practice used by retailers and businesses to attract customers.

a. The function n(p) that represents the cost of the paints with the 15% discount is given by:

n(p) = 6.99p - 0.15(6.99p)

= 5.94p

b. The cost of purchasing 5 paints before the discount is 6.99 x 5 = 34.95.

The cost of purchasing 5 paints after the discount is 5.94 x 5 = 29.70.

Therefore, the 15% discount reduces the cost of the paints from 34.95 to 29.70.

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Answer:

L m a o i only in middle school but its nice that people on this app are polite.

Answer:

C

D

E

Step-by-step explanation:

Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

The equation 3x = 6.4 can be solved for x by dividing both sides of the equation by 3: 3x/3 = 6.4/3; x = 2.13

So, for 3x and 6.4x to be equal, x must be equal to 2.13. This means that you need to multiply the number 6.4 by 2.13 to equal 3. The equation 3x = 6.4 represents the relationship between two variables, x and 3x. We are trying to find the value of x that would make 3x equal to 6.4. To do this, we divide both sides of the equation by 3. Dividing both sides of an equation by the same number does not change the relationship between the variables; it only scales down the variable's value by the same factor.

So, by dividing both sides of the equation by 3, we get:

3x/3 = 6.4/3

x = 2.13

Finally, to make 6.4x equal to 3, we need to divide 6.4 by 2.13: 6.4 / 2.13 = 3. So, we need to multiply 6.4 by 2.13 to equal 3.

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Answer:So,volume of rectangular prism is calculated by multiplying its area of base with its height. Formula for finding the volume of a rectangular prism is, Volume (V) = height of the prism × base area. It is calculated in cubic units such as cm3, m3, in3, etc nd can you text my on ig you pretty djnothavinn

Step-by-step explanation:

The first-order Adams-Moulton formula derived as: y(t+h) ≈ y(t) + h/2 * [f(t, y(t)) + f(t+h, y(t+h))].

The first-order Adams-Moulton formula is equivalent to the trapezoid rule for approximating the integral in ordinary differential equations.

The first-order Adams-Moulton formula is derived by approximating the integral in the ordinary differential equation (ODE) using the trapezoid rule.

To derive the formula, we start with the integral form of the ODE:

∫[t, t+h] y'(t) dt = ∫[t, t+h] f(t, y(t)) dt

Approximating the integral using the trapezoid rule, we have:

h/2 * [f(t, y(t)) + f(t+h, y(t+h))] ≈ ∫[t, t+h] f(t, y(t)) dt

Rearranging the equation, we get:

y(t+h) ≈ y(t) + h/2 * [f(t, y(t)) + f(t+h, y(t+h))]

This is the first-order Adams-Moulton formula.

To verify its equivalence to the trapezoid rule, we can substitute the derivative approximation from the trapezoid rule into the Adams-Moulton formula. Doing so yields:

y(t+h) ≈ y(t) + h/2 * [y'(t) + y'(t+h)]

Since y'(t) = f(t, y(t)), we can replace it in the equation:

y(t+h) ≈ y(t) + h/2 * [f(t, y(t)) + f(t+h, y(t+h))]

This is equivalent to the trapezoid rule for approximating the integral. Therefore, the first-order Adams-Moulton formula is indeed equivalent to the trapezoid rule.

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Answer:

40°, 80°, 100°, and 140°

Step-by-step explanation:

All the angles in a quadrilateral add up to 360°

Use the given ratio to write an equation.

2x +4x +5x +7x=360

Combine like terms.

18x = 360

Divide by 18.

x = 20

The angles are 2x, 4x, 5x, and 7x.

Substitute 20 for the x.

2(20) = 40

4(20) = 80

5(20) = 100

7(20) = 140

The angles are 40°, 80°, 100°, and 140°

Step-by-step explanation:

if 1m=100cm then 300000cm=300000/100*1m=3000

Answer:

the first option is the answer. I am sure of this

Answer:

the first option is the answer

The solutions for x between 0 and 2π are: x = π/2, (5π)/6, and (11π)/6.

To solve the equation 5 + sin(3x) = 4 for x on the unit circle, where x is between 0 and 2π, follow these steps:

1. Subtract 5 from both sides: sin(3x) = -1
2. Determine the angle for which sin is -1: sin(3x) = sin(3π/2)
3. Since the sine function has a period of 2π, the general solution is: 3x = 3π/2 + 2πk, where k is an integer.
4. Divide both sides by 3: x = π/2 + (2πk)/3

Now, find the values of x between 0 and 2π by trying different integer values of k:

- If k = 0, x = π/2
- If k = 1, x = π/2 + 2π/3 = (5π)/6
- If k = 2, x = π/2 + 4π/3 = (11π)/6

Thus, the solutions for x between 0 and 2π are: x = π/2, (5π)/6, and (11π)/6.

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Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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The z-value for the test statistic is equal to 9.64.

In Mathematics and Statistics, the z-value for the test statistic of a population can be calculated by using the following mathematical equation;

\(t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }\)

Where:

By substituting the given parameters into the formula for z-test statistic, we have the following;

z-test statistic, t = (6.1 - 3.7)/(2.4/√93)

z-test statistic, t = (6.1 - 3.7)/(2.4/9.6436507609929549957600310474327)

z-test statistic, t = 2.4/0.24886840673530206440671047864342

z-test statistic, t = 9.64

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The approximate values of the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values represent the values at which the polynomial equation evaluates to zero, indicating the roots of the equation.

To find the roots of a polynomial equation, we set the equation equal to zero and solve for the unknown variable. In this case, we have a polynomial equation with non-integral roots.

To obtain the approximate values of these roots, numerical methods such as iterative methods or numerical approximation techniques can be used. These methods involve making educated guesses and refining the guesses until the equation evaluates to zero.

The resulting approximate values for the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values are not exact, but they are close approximations to the actual roots of the equation.

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Answer:

bein estas for

Step-by-step explanation:

lerni :) kaj preterpasi

The response variable is the amount of tax, whereas the explanatory variable is whether the student believes global warming is a serious issue or not.

An explanatory variable is a variable that can influence another variable or cause changes in the response variable. It is the variable that is controlled or manipulated to study its effect on the dependent variable (response variable) and is an independent variable in statistical analysis. The response variable is a dependent variable or an output variable that changes based on the influence of other variables (explanatory variable).The researchers wanted to compare the mean response on gasoline taxes (the first question) for those who answer yes and for those who answer no to the second question. Therefore, the response variable is the amount of tax the student is willing to add to a gallon of gasoline. This response variable is an indication of how much students are willing to pay to mitigate global warming. On the other hand, the explanatory variable is whether the student believes that global warming is a serious issue or not. This variable will help determine if students' perception of global warming has any effect on their willingness to pay for mitigative measures.

In conclusion, the response variable in the given scenario is the amount of tax, while the explanatory variable is students' perception of global warming.

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

The three vectors that form an orthonormal basis for R3 are:

u = (0.6, -0.8, 0)
v = (1, 0, 0)
w = (0, 0, 0.6)

To find the missing coordinates such that the three vectors form an orthonormal basis for R3, we need to use the concept of coordinates, vectors, and orthonormality.

First, let's define the three vectors as u = (0.6, -0.8, 0), v = (1, 0, 0), and w = (0, 0, 0.6).

To form an orthonormal basis for R3, the three vectors need to be orthogonal to each other and have a magnitude of 1.

Orthogonality means that the dot product of any two vectors is 0. So we need to find the missing coordinates of w such that:

u • v = 0
u • w = 0
v • w = 0

Since u and v are already orthogonal to each other, we only need to find the missing coordinates of w such that it is orthogonal to both u and v.

Let's start with u • w = 0:

0.6 * 0 + (-0.8) * 0 + 0 * 0.6 = 0

This equation is already satisfied, so we don't need to find any missing coordinates for w in relation to u.

Now let's look at v • w = 0:

1 * 0 + 0 * 0 + 0 * 0.6 = 0

Again, this equation is already satisfied, so we don't need to find any missing coordinates for w in relation to v.

Since both equations are satisfied, the missing coordinates of w are (0, 0).

Therefore, the three vectors that form an orthonormal basis for R3 are:

u = (0.6, -0.8, 0)
v = (1, 0, 0)
w = (0, 0, 0.6)

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A class in advanced ballet lasts 120 minutes, whereas another dancing class lasts 60 minutes.

A straight line on a graph is described by a linear equation, which is an algebraic equation. This equation has one as the largest power of the variable, which is typically indicated by the letter "x."

Assume that a ballet class for advanced students lasts for x minutes and another dancing class lasts for y minutes.

According to the problem:

For a total of 360 minutes each week, Christopher is enrolled in 2 advanced ballet lessons, 2 other dance classes, and 1 other class. The following can be written:

2x + 2y = 360

Haley is enrolled in 6 dancing courses totaling 420 minutes each week, including 1 advanced ballet class. The following can be written:

x + 5y = 420

We can use these two equations to solve for x and y.

Multiplying the first equation by 0.5, we get:

x + y = 180

Subtracting this equation from the second equation, we get:

4y = 240

Dividing both sides by 4, we get:

y = 60

Substituting this value of y into the equation x + y = 180, we get:

x + 60 = 180

Subtracting 60 from both sides, we get:

x = 120

Therefore, the duration of an advanced ballet class is 120 minutes, and the duration of another dance class is 60 minutes.

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Given matrices: A₁ = [1 -1 4; 4 2 3]B = [3; 5; 7; -3; 2]We have to check whether the matrix B lies in span(A1, A2) or not. Now, we need to find A₂ such that the matrix B lies in span(A1, A2) i.e.

it can be represented as a/ of A₁ and A₂.We can find A₂ as follows:Let A₂ = [a b c; d e f]We want B to be a linear combination of A₁ and A₂i.e. there exist constants x and y such that:B = xA₁ + yA₂= x[1 -1 4; 4 2 3] + y[a b c; d e f]Now, the above equation can be written in the form:[1 -1 4; 4 2 3 | 3; 5; 7] [a b c; d e f | -3; 2]

This can be written in the form of an augmented matrix as:[1 -1 4 3; 4 2 3 5] [a b c -3; d e f 2]Now, we perform row operations to put the matrix in echelon form:[1 -1 4 3; 0 6 -13 -7] [a b c -3; 0 -2 5 5]Now, we perform back-substitution to find the values of a, b, c, d, e and f:Since the above matrix is not in echelon form, we cannot perform back-substitution, thus, we can say that the matrix B does not lie in span(A1, A2).Hence, the matrix B = [3; 5; 7; -3; 2] does not lie in span(A₁, A₂).

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Answer:

12950 feet or about 2.45 miles