Mia has filled 34 of the fish tank with water. If the
tank holds 32 gallons, how many gallons has she
put in the tank?

To find the area of the region bounded by the curves y = x^4 - x^3 - 2x and y = x^3 - 4x^2 - 2x^3, we need to determine the points of intersection between the two curves.

First, we set the two equations equal to each other and solve for x:

x^4 - x^3 - 2x = x^3 - 4x^2 - 2x^3

Rearranging the terms:

x^4 - 2x^3 + 4x^2 = 0

Factoring out an x^2:

x^2(x^2 - 2x + 4) = 0

Setting each factor equal to zero:

x^2 = 0 or (x^2 - 2x + 4) = 0

Solving the second equation using the quadratic formula:

x = (-(-2) ± √((-2)^2 - 4(1)(4))) / (2(1))

x = (2 ± √(4 - 16)) / 2

x = (2 ± √(-12)) / 2

x = (2 ± 2√3i) / 2

x = 1 ± √3i

Since the problem asks for the area, which is a real value, we can disregard the imaginary solutions. Therefore, there are no points of intersection between the two curves.

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Answer: x = 36

Step-by-step explanation:

A Linear equation can have one, zero, or infinite solutions. There is no line on a flat plane that can intersect the x axis five times.

That being said, the true solution to this equation is x = 36

Answer:

slope = \(\frac{9}{4}\)

Step-by-step explanation:

Equation to find slope: \(\frac{y1-y2}{x1-x2}\)            (-3, 4) (-7, -5)

\(\frac{4+5}{-3+7}\) = \(\frac{9}{4}\)

Answer:

x=i

Step-by-step explanation:

Answer:

\(3 \times \frac{9}{10} \)

Answer:

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Question

Match each expression to the correct verbal description.

Answer · 12 votes

(7x)3+8 8 added to the cube of 7x(7x+8)3 The cube of the sum of 7x and 87(x+8)3 7 times the cube of the sum of x and 87x3+8 8 added to 7 and x cubed

Answer: D

Step-by-step explanation:

Answer:$22.50

Step-by-step explanation:

The three friends already paid the entrance fee. The question asks how much MORE will they pay for 5 MORE rides (8-3 rides). Since tickets are $1.50 each, and we have 3 people:

($1.50/ticket)*(5 tickets/person)*(3 persons) = $22.50 more.

[Note how the units cancel, leaving just $]

The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".

The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.

Step 1: Initialization

A is set to 5 and B is set to 3.

Step 2: Iteration 1

Since A (5) is greater than or equal to B (3), the loop executes.

The square of A (5²) is displayed, resulting in the output "25".

A is decremented by 1, so A becomes 4.

Step 3: Iteration 2

A (4) is still greater than or equal to B (3).

The square of A (4²) is displayed, resulting in the output "16".

A is decremented by 1, so A becomes 3.

Step 4: Iteration 3

A (3) is still greater than or equal to B (3).

The square of A (3²) is displayed, resulting in the output "9".

A is decremented by 1, so A becomes 2.

Step 5: Iteration 4

A (2) is still greater than or equal to B (3).

The square of A (2²) is displayed, resulting in the output "4".

A is decremented by 1, so A becomes 1.

Step 6: Iteration 5

A (1) is still greater than or equal to B (3).

The square of A (1²) is displayed, resulting in the output "1".

A is decremented by 1, so A becomes 0.

Step 7: Loop termination

Since A (0) is no longer greater than or equal to B (3), the loop terminates.

Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.

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Answer:

5 apple magically appeared in his hands CLONED APPEARED BOUGHT FLEW INTO HIS HANDS.

Step-by-step explanation:

The parabola's vertex is located at (-2, 8). The parabola's graph is then depicted below.

Let a be the leading coefficient and the parabola's vertex be the point (h, k). The parabola's equation will therefore be stated as,

y = a(x - h)² + k

The parabola's equation is stated as,

y = -(x + 2)² + 8

The downward-pointing parabola is represented by the negative sign.

The vertex of the parabola is at (-2, 8), according to the equation above. The parabola's graph is then depicted below.

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Step-by-step explanation:

x² + x - 2 = 0

x² + 2x - x - 2 = 0

x(x + 2) - 1(x + 2) = 0

(x + 2)(x - 1) = 0

x + 2 = 0 and x - 1 = 0

x = -2 and x = 1

So, f(x) has no solution if x = -2 or 1

Domain = {x | x ≠ 2 and x ≠ 1}

The value of the equation at x = 1, x = -1.5, and x = 8.5 will be 0.5, 7, and -20, respectively.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = - 3x + 2.5

The value of the equation at x = 1 will be given as,

y = - 3 × (1) + 2.5

y = - 3 + 2.5

y = - 0.5

The value of the equation at x = - 1.5 will be given as,

y = - 3 × (-1.5) + 2.5

y = 4.5 + 2.5

y = 7

The value of the equation at x = 8.5 will be given as,

y = - 3 × (8.5) + 2.5

y = - 22.5+ 2.5

y = - 20

The value of the equation at x = 1, x = -1.5, and x = 8.5 will be 0.5, 7, and -20, respectively.

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Complete question:

Answer: C is your asnwer

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

Answer (x + 7) • (x + 2) • (x - 3) • (x - 6)

Answer:

4x -3y

Step-by-step explanation:

Answer:

3/2 cm^2 or 1.5 cm^2

Step-by-step explanation:

Remark

This is another one of those very poorly design questions where a lot is taken for granted. There is nothing to show the the black square has an area of 1/4 square cm. or the white square is 1/2 cm^2. You are left to speculate, and you should never have to guess a dimension from a diagram.

That said here are the assumptions

White square area = L * W

L = 1 (which comes from 1/2 of 2)

W = 1/2

Area = 1 * 1/2 = 1/2

There are two them them so their area = 1

The black squares are 1/2 * 1/2 = 1/4 square cm. There are two of them so their total area = 1/2 square cm.

Total of the white and black squares = 1 + 1/2 = 1 1/2 or 3/2 square cm.

1/34 is the probability of cards are not returned to the deck.

What does the math term "probability" mean?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                                   Statistics is the study of events subject to probability.

A = the first card of ace.

B = Drawing two ace from a standard deck

P(AB) = ²C₄ / ²C₃₂

P(A) = ¹C₄ ¹C₅₁ / ²C₃₂

P(B/A) =P(AB)/P(A)

           = ²C₄ /  ²C₃₂ *  ²C₃₂ /  ¹C₄ ¹C₅₁

            = ²C₄ /¹C₄ ¹C₅₁

             = 1/2 * 17

             = 1/34

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To determine the speed of the car at the bottom of the hill, we can use the principle of conservation of energy. As the car rolls down the hill, it will convert its potential energy at the top into kinetic energy at the bottom, neglecting any energy losses due to friction or air resistance.

The potential energy of the car at the top of the hill is given by the formula:

Potential Energy = mass × gravity × height

Since the mass of the car is not provided, we can assume it to be a constant value for the purpose of this calculation. Gravity is approximately 9.8 m/s².

The kinetic energy of the car at the bottom of the hill is given by the formula:

Kinetic Energy = (1/2) × mass × velocity²

Since the potential energy at the top is equal to the kinetic energy at the bottom, we can equate the two equations and solve for velocity.

mass × gravity × height = (1/2) × mass × velocity²

Simplifying the equation, we find:

velocity² = 2 × gravity × height

Taking the square root of both sides, we get:

velocity = √(2 × gravity × height)

Substituting the given values, with gravity as 9.8 m/s² and height as 50 m, we can calculate the velocity. Plugging the values into the equation, we find: velocity = √(2 × 9.8 m/s² × 50 m) ≈ 31.3 m/s

Therefore, the car will be going at approximately 31.3 meters per second (m/s) at the bottom of the hill.

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Answer:

0.5(−y−2)+y=1

(0.5)(−y)+(0.5)(−2)+y=1

−0.5y+−1+y=1

(−0.5y+y)+(−1)=1

0.5y+−1=1

0.5y−1=1

0.5y−1+1=1+1

0.5y=2

0.5y /0.5 = 2/0.5

y=4

Step-by-step explanation:

I hope this is help you

Answer:

\(0.5( - y - 2) + y = 1 \\ - 0.5y - 1 + y = 1 \\ - 0.5y + y = 1 + 1 \\ 0.5y = 2 \\ y = \frac{2}{0.5} \\ y = 4\)

Answer: a = 8.4

Step-by-step explanation:

The mean of the data set is approximately 5.615, and the standard deviation is approximately 3.823.

To find the mean and standard deviation for the given data set, we'll follow these steps:

1. Calculate the mean (average):

  - Add up all the numbers in the data set.

  - Divide the sum by the total number of values.

2. Calculate the standard deviation:

  - Find the difference between each data point and the mean.

  - Square each difference.

  - Calculate the mean of the squared differences.

  - Take the square root of the mean of the squared differences.

Let's calculate the mean and standard deviation for the given data set: 1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 10, 10, 12.

1. Calculate the mean:

  Sum = 1 + 1 + 2 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 10 + 12 = 73

  Total number of values = 13

  Mean = Sum / Total number of values = 73 / 13 ≈ 5.615

2. Calculate the standard deviation:

  - Find the difference between each data point and the mean:

    Differences: (-4.615, -4.615, -3.615, -3.615, -2.615, -1.615, -0.615, 0.385, 2.385, 3.385, 4.385, 4.385, 6.385)

  - Square each difference:

    Squared differences: (21.313, 21.313, 13.113, 13.113, 6.833, 2.615, 0.378, 0.149, 5.677, 11.456, 19.261, 19.261, 40.677)

  - Calculate the mean of the squared differences:

    Mean of squared differences = Sum of squared differences / Total number of values

                              = (21.313 + 21.313 + 13.113 + 13.113 + 6.833 + 2.615 + 0.378 + 0.149 + 5.677 + 11.456 + 19.261 + 19.261 + 40.677) / 13 ≈ 14.608

  - Take the square root of the mean of the squared differences:

    Standard deviation = √(Mean of squared differences) ≈ √(14.608) ≈ 3.823

Therefore, the mean of the data set is approximately 5.615, and the standard deviation is approximately 3.823.

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Answer:

When using ANOVA, the sum of squares within is:  Showing the difference between the Total SS and Between SS known as Error variance

Step-by-step explanation:

Within SS is also known as Error sum of squares . It is calculated by finding the difference between Total Sum of Squares and Between Sum of Squares

with the given degrees of freedom.

Within SS = Total SS - Between SS

Where

Total SS= ∑∑X²- C. F

Between SS= ∑T²j/r - C.F

Correction Factor = CF = Tj²/n

So the correct answer would be

Showing the difference between the Total SS and Between SS also known as   Error variance.

If there were only twenty-two students instead of fifty-two who contributed their moms' heights and we wanted to use a one-sample confidence interval procedure (whether it would be z or t), we would have had to assume that the population of mom-heights was normally distributed.

The one-sample confidence interval is used to estimate the true population mean based on a sample mean and standard deviation. The procedure assumes that the sample is a random sample from a normally distributed population. With a sample size of at least 30, the central limit theorem allows for the use of a z-test to construct the confidence interval. With a smaller sample size, a t-test would be more appropriate. However, the assumption of normality still needs to hold for the validity of the confidence interval.

If the sample size is smaller than 30, the assumption of normality can be replaced by the assumption of approximately normal data. This means that the data follows a distribution that is symmetric and bell-shaped, even if it is not exactly normal.

However, the validity of the confidence interval can be compromised if the data is highly skewed or contains outliers. In such cases, it may be necessary to use non-parametric methods to construct a confidence interval.

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The function n³ + n! belongs to the class O(n³).

The limit test for big O notation:

Now let's choose bn = n^n.

Then we have:lim n→∞ n² + n^(n-1) / n^n= lim n→∞ n^-1 + n^(n-1)/n^n

Using the theorem, we can show that this approaches 0 as n approaches infinity, which means that n³ + n! = O(n³).

: O(n³)

:We evaluated the function using the limit test for big O notation and found that it is bounded by n² + n^(n-1)/bn, which can be simplified to n³ + n! = O(n³).

Summary: The function n³ + n! belongs to the class O(n³).

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Answer:

i think its c

Step-by-step explanation:

Answer: the answer is c

Step-by-step explanation:

Answer:

Divide each term in

0.3x<6 by 0.3 and simplify.

Inequality Form:

x<20

Interval Notation:(−∞,20)

Step-by-step explanation:

Answer:

it is 1

Step-by-step explanation:

brainliest?

Answer:

9

Step-by-step explanation:

According to the BODMAS

Bracket first, division second, multiplication third

Answer:

Area = 600

Step-by-step explanation:

The area formula for rectangles is length x width. In this equation, the length is 20 and the width is 30, multiplying them together gets us the area of 600.