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A case of 24 bottles of water costs $2.99. How much does one bottle of water cost, in dollars? Round your answer to the nearest cent.

Answer:

1025437

Step-by-step explanation:

1000000+25437=1025437

Answer:

1025437

Step-by-step explanation:

hope it helps, please mark as brainliest

If mn^2 is even for integers m and n, then at least one of m or n must be even. There is no rational number x such that x^2 = 2.

To prove that if mn^2 is even, then at least one of m or n is even, we can use proof by contradiction. Assume that both m and n are odd integers. Then, m can be written as m = 2k + 1 and n can be written as n = 2l + 1, where k and l are integers. Substituting these values into mn^2, we have (2k + 1)(2l + 1)^2. Expanding this expression, we get an odd number. However, we assumed that mn^2 is even, leading to a contradiction. Therefore, at least one of m or n must be even.

To prove that there is no rational number x such that x^2 = 2, we can use a proof by contradiction as well. Assume that there exists a rational number x = a/b, where a and b are integers with no common factors other than 1, such that x^2 = 2. Substituting x into the equation, we get (a/b)^2 = 2, which simplifies to a^2 = 2b^2.

This implies that a^2 is even, and therefore a must be even. If a is even, it can be written as a = 2k for some integer k. Substituting this back into the equation, we have (2k)^2 = 2b^2, which simplifies to 4k^2 = 2b^2 or 2k^2 = b^2. This implies that b^2 is even, and therefore b must also be even. However, this contradicts our assumption that a and b have no common factors other than 1. Hence, there is no rational number x such that x^2 = 2.

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Answer:

7(a+2b)

Step-by-step explanation:

To factor an expression, you want to find the greatest common factor (GCF). I know that 7 can go into both 14 and 7, so my GCF would be 7. If I divide both 7a and 14b by 7, I get a and 2b. This means that my answer would be 7(a+2b) as that simplifies to 7a+14b. Hope that was helpful!  

Answer:

2(7b + a)

Step-by-step explanation:

to factorize u should take the hcf of both number and put it outside the bracket. if u solve it u can see that 2(7b + a) also equals to 14b + 7a when u use distributive property

i hope this helps

There is strong negative between age and resting heart rate.

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A T distribution table is a statistical table that provides critical values for the Student's t-distribution. It is used in hypothesis testing to determine the significance of a difference between the sample mean and the population mean.

The T distribution table is used when the sample size is small (typically less than 30) and the population standard deviation is unknown. The Student's t-distribution is a probability distribution that is used to estimate the population mean when the sample size is small and the population standard deviation is unknown. It is a bell-shaped curve that approaches a normal distribution as the sample size increases.

The shape of the T distribution is determined by a parameter called the degrees of freedom (df), which is equal to the sample size minus 1. The critical values for the T distribution are used to determine the probability of obtaining a sample mean that is significantly different from the population mean.

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Answer:

x=7

Explanation:

If M is the midpoint of segment CD, it means M divides CD into two equal parts (CM and MD). Therefore:

CM=MD

5x-12=2x+9

5x-2x=9+12

3x=21

x=21/3

x=7

The value of x is 7.

Therefore, the only claim that the interval would tend to refute is option E: The population mean is less than 125.

Based on the 90% confidence interval of 135 to 160, we can conclude that the population mean is likely to be within this interval with a 90% degree of confidence.

A. The claim that the population mean is more than 110 is not refuted by the confidence interval since the lower limit of the interval is above 110.

B. The claim that the population mean is less than 150 is not refuted by the confidence interval since the upper limit of the interval is above 150.

C. The claim that the population mean is between 140 and 150 is not refuted by the confidence interval since both values are within the interval.

D. The claim that the population mean is more than 140 is not refuted by the confidence interval since the lower limit of the interval is above 140.

E. The claim that the population mean is less than 125 is refuted by the confidence interval since the lower limit of the interval is above 125.

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Answer:

19 - R = C

7

Step-by-step explanation:

Let R = the number of cars rented

Let C = the number of cars left

19 - R = C

19 - 12 = 7

The proof that ∠FCB≅∠DCE is shown below

Given that AECF is a rhombus, opposite angles of the rhombus are congruent.

This is represented as

∠EAF = ∠ECF

Also, given that EB ≅ FD, we can conclude that:

∠EBF = ∠DFC

This is by the definition of congruent segments having equal corresponding angles

Add the angles

∠CEB + ∠EBF = ∠CEB + ∠DFC = 180°

Recall that

Since ∠CEB = ∠AEF

So, we have:

∠AEF + ∠EBF = ∠AEF + ∠DFC = 180°

Hence, ∠FCB=∠DCE.

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Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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Answer: Given a line represented by the equation 3x + y = 9, the slope of the line is -3/1. Since we know that the slope of the line perpendicular to this line is the negative reciprocal of the original line's slope, we can find the slope of the perpendicular line by taking -1/-3 = 1/3.

To find the equation of the perpendicular line that passes through the point (1,-2), we can use the point-slope form of the line equation, which is: y - y1 = m(x - x1) where m is the slope of the line and (x1,y1) is a point on the line.

Therefore, the equation of the perpendicular line that passes through the point (1,-2) is:

y - (-2) = (1/3)(x - 1)

y + 2 = (1/3)x + (1/3)

y = (1/3)x - (2/3)

So the final equation of the perpendicular line is y = (1/3)x - (2/3)

Step-by-step explanation:

Answer:

B: (-7, -8)

Step-by-step explanation:

If the midpoint of (-3, 4) is (-5, -2), then the difference in x is 2, and the difference in y is 6. So to get from the midpoint to b, you have to add two to the x value, and add 6 to the y value. This gets us to the point (-7, -8).

*Hope this helped! : )*

The transformation is explained below.

The transformation is merely a translation of points vertically and horizontally.

The original triangle must have its original coordinates. All you have to do is subtract 1 from their x-coordinate and add 5 units to their y-coordinates.

For example, if the original coordinate is (1,2), then the translated point would now be (0,7). Once you get all the translated points, you can plot them as the new translated triangle.

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Without the original triangle, we cannot graph the image. However, I will provide the steps to apply the given transformation to any triangle:

1. Plot the vertices of the original triangle.

2. For each vertex, shift the x-coordinate left by 1 unit and shift the y-coordinate up by 5 units.

3. Connect the corresponding vertices to form the image of the triangle.

For example, let's say the original triangle has vertices A(2,3), B(5,6), and C(7,2). Applying the given transformation:

- Vertex A becomes A'(1,8) [x - 1 shifts left by 1, y + 5 shifts up by 5]

- Vertex B becomes B'(4,11)

- Vertex C becomes C'(6,7)

Connecting the corresponding vertices, we form the image of the triangle with vertices A'(1,8), B'(4,11), and C'(6,7).

Hope this helps you

Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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Answer:

18 sides?

Step-by-step explanation:

((n-2)180)/n=160

160n=180n-360

20n=360

x=18

Ce clasă ești sa văd daca te pot ajuta

Answer:

If the dimensions of the scaled painting are 8 times smaller than the actual painting, then the actual dimensions can be found by multiplying the scaled dimensions by 8.

So, the actual dimensions of the painting are:

12 inches x 8 = 96 inches (width)

16 inches x 8 = 128 inches (height)

To prove that opposite sides of a quadrilateral are parallel, you have to show that the slopes of both sides are the same.

Slope is a measure of how steep a line is, and it can be found by calculating the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on the line.

If two sides of a quadrilateral have the same slope, then they must be parallel because parallel lines have the same slope. Conversely, if two sides of a quadrilateral are parallel, then they must have the same slope. Therefore, by showing that the slopes of two sides of a quadrilateral are equal, you can prove that they are parallel, and hence, opposite sides of the quadrilateral are parallel.

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Answer:

b=− 3/4 =−1.333

b= 2/3=1.500

explanation

middle term, which is   -1 .  

     -72    +    1    =    -71

     -36    +    2    =    -34

     -24    +    3    =    -21

     -18    +    4    =    -14

     -12    +    6    =    -6

     -9    +    8    =    -1    That's it

Two real solutions:

b =(1+√289)/12=(1+17)/12= 1.500

or:

b =(1-√289)/12=(1-17)/12= -1.333

Answer:

STEP 3

Step-by-step explanation:

Francesca drew point (–2, –10) on the terminal ray of angle , which is in standard position. She found values for the six trigonometric functions using the steps below.

A unit circle is shown. A ray intersects point (negative 2, negative 10) in quadrant 3. Theta is the angle formed by the ray and the x-axis in quadrant 1.

Francesca made her first error in step 3 because the sine, cosine, and tangent ratios are incorrect, which also resulted in incorrect cosecant, secant, and tangent functions.

please mark me brainlyest <i cant spell it >

Answer:

A. 288pi in^3

Step-by-step explanation:

s

ee image

The correct answer is C. -1 ≤ r ≤ 1. The correlation coefficient, r, is a measure of the strength and direction of a linear relationship between two variables. It can take on any value between -1 and 1, inclusive.

A correlation coefficient of -1 indicates a perfect negative correlation, where as one variable increases, the other variable decreases in a perfectly linear fashion. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient of 1 indicates a perfect positive correlation, where as one variable increases, the other variable increases in a perfectly linear fashion.

Therefore, statement A is not correct as it only includes the positive values of r. Statement B is not correct as it does not include negative values of r. Statement C is correct as it includes all possible values of r.

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\(x = y + 5 \\ y = x - 5\)

\(x = \frac{3}{8} y \\ y = \frac{8}{3}x \)

\(x = - y - 2 \\ y = - 2 - x\)

\(x = 6y + 1 \\ 6y = x - 1 \\ y = \frac{x - 1}{6} \)

\(x = y - 11 \\ y = x + 11\)

\(x = 8y \\ y = \frac{x}{8} \)

\(x = \frac{ - 1}{3} y \\ y = - 3x\)

\(basically \: flip \: x \: and \: y \: then \: solve \: for \: y\)

Answer:

Step-by-step explanation:

Given three relations between the costs of balls, bats, and bases, you want to find the cost of each.

Solving three linear equations in three unknowns can be accomplished easily by any number of calculators, apps, or spreadsheets. Here, we'll use an ad hoc solution.

Subtracting twice the third equation from the second, we have ...

  (4 balls + 8 bats + 2 bases) -(2(2 balls + 3 bats + 1 base) = 78 -2(33.60)

  2 bats = 10.80 . . . . . . . simplify

  1 bat = 5.40 . . . . . . divide by 2

Subtracting the second equation from the first, we have ...

  (10 balls +3 bats +2 bases) -(4 balls +8 bats +2 bases) = (99) -(78)

  6 balls -5 bats = 21 . . . . . simplify

  6 balls = 21 + 5(5.40) . . . . . add 5 bats and substitute their cost

  6 balls = 48 . . . . . . . . simplify

  1 ball = 8.00 . . . . . . . divide by 6

Using the last equation, we can find the cost of 1 base.

  1 base = 33.60 -2 balls -3 bats = 33.60 -2(8.00) -3(5.40)

  1 base = 1.40

The costs are ...

  1 ball: $8.00

  1 bat: $5.40

  1 base: $1.40

Answer:

518

Step-by-step explanation:

The statement tdf distribution is symmetric around zero is True.

The t-distribution is also known as the student's t-distribution, a branch of probability distribution that is used to estimate population parameters when the sample size is small or when the population variance cannot be known.

Like the standard normal distribution (z distribution), the t-distribution is symmetric around zero, bell-shaped, and has tails that approach the horizontal axis and eventually cross it.

However, the t-distribution has heavier tails than the normal distribution, which means it has more probability in the tails and less in the center compared to the normal distribution.

The t-distribution, like the standard normal distribution, has a bell-shaped, symmetric density function that approaches the horizontal axis and ultimately crosses it.

The primary distinction is that the t-distribution is more extended and flatter than the standard normal distribution.

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