How do you translate a function up?

the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square

When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.

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Answer: A general solution of a differential equation is a solution that contains all possible solutions of the equation, including all arbitrary constants. It provides a general form of the solution that can be customized to fit the specific conditions of the problem.

For example, the general solution of a second-order linear homogeneous differential equation of the form

y'' + p(x)y' + q(x)y = 0

is a combination of two linearly independent functions, often represented by y = c1y1(x) + c2y2(x), where c1 and c2 are arbitrary constants and y1(x) and y2(x) are two linearly independent solutions of the differential equation.

The general solution represents the most general form of the solution that takes into account all possible solutions, including all arbitrary constants. To find a specific solution, one must apply initial or boundary conditions to determine the values of the arbitrary constants.

Step-by-step explanation:

Answer:

The correct answer is B  :)))

Step-by-step explanation:

2021

Definition - Trend line is referred to as a line of the best fit, which lines that are used to represent the behavior of a set of data to determine if in a certain pattern. Thus, A trend line is an analytical tool used most often in conjunction with a scatter plot to see if there is a relationship between two variables.  

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Answer:

13.24 ft

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have:

Sinα=opposite/hypotenuse

α=62°

opposite=x

hypotenuse=15 ft

2. When you substitute the values into  Sinα=opposite/hypotenuse, you obtain:

Sinα=opposite/hypotenuse

Sin(62°)=x/15

3. You must clear "x", as below:

x=(15)(Sin(62°))

x=13.24 ft

The answer is. 13.24 ft

Answer:

1 slice will be left because there are 16 slices and 15 guests

Step-by-step explanation:

Answer: 20897920

Step-by-step explanation:

10 x 10 x86 x 27 x 90 + -80=

100 x86 x 2430 - 80=

8600 x 2430 - 80=

20898000-80=20897920

Answer: 20897920

Step-by-step explanation:

Answer:

9 teaspoons of vanilla

Step-by-step explanation:

12/4=3

3*3=9

Answer:

teaspoons of vanilla =9

Step-by-step explanation:

we can make it as a ratio

So we have (3 for teaspoons and 4 tablespoons)

          3:4  

Then  x : 12

x=(12/4)*3=9

hope this helps

The segment representing the diameter of the circle A in this problem is given as follows:

DC.

The diameter of the circle is the distance between two points on the circumference of the circle, on a segment that passes through the center.

The center of the circle in this problem is given as follows:

A.

Hence the diameter segment is given as follows:

DC.

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Answer:7 mins

Step-by-step explanation:

47 minus 19 equals 28 4 times 7 equals 8

The probability of the sum of the numbers on the tickets being 4, when drawn with replacement from box A, is 3/n^2, where n is the total number of numbers in box A.

To find the probability of the sum of the numbers on the tickets being 4, we need to determine the possible outcomes. If the tickets are drawn with replacement, the numbers on each ticket can range from 1 to the maximum number in box A.

To sum up to 4, the possible combinations are (1,3), (2,2), and (3,1).

Since we are drawing with replacement, each ticket has the same probability for each draw.

Let's assume that there are n total numbers in box A. The probability of drawing a specific number is 1/n. Therefore, the probability of drawing

(1,3), (2,2), or (3,1) is (1/n) * (1/n)

= 1\(/n^2\)for each combination.

Since there are three possible combinations, the overall probability is 3/\(n^2\).

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The cardinality of the cartesian product of A and B is 18.

Cartesian Product of two sets A and B is defined as the set of all ordered pairs (a,b) where a∈A & b∈B.

Cardinality of a set is defined as the number of elements in that particular set.

For example,  for a set A={2,6,4} , the cardinality is 3.

Given set A= { x | x is a prime number less than 7}

A={2,3,5}

set B =  { y | y is perfect square of an integer and y is less than 29}

B={0,1,4,9,16,25}

The cartesian product of A and B denoted by AxB will be

AxB={(2,0),(2,1),(2,4),(2,9),(2,16),(2,25),(3,0),(3,1),(3,4),(3,9),(3,16),(3,25),(5,0),(5,1),(5,4),(5,9),(5,16),(5,25)}

The number of elements in AxB is 18.

Therefore , the cardinality of the cartesian product of A and B is 18.

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The bottleneck time is 10, as this is the longest time for any station in the assembly line.

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By using the concept of factors and multiples, it can be inferred that

Product of a and b i.e. ab has atleast (m + n) trailing zeroes which is greater than both m and n

What are factors and multiples?

Suppose the number is k. Factors of k are those numbers that divide k.

For example: Factors of 6 are 1, 2, 3 and 6

Multiples of k are those numbers which are divided by k.

For example Multiples of 6 are 6, 12, 18, ....

Since the factors are of multiple of 10, then the factors will have atleast one trailing zero. Let the factors be a and b

Suppose a has m trailing zeroes and b has n trailing zeroes.

Product of a and b i.e. ab has (m + n) atleast trailing zeroes which is greater than both m and n

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When we apply the concept of factors and multiples, we concluded that the product of a and b i.e. ab has at least (m + n) trailing zeroes that are greater than both m and n.

What are factors and multiples?

A multiple is a number that, up to a given number of times, can be divided by another number without leaving a leftover.

A factor is a pair of integers or more that divide a given number by itself without leaving a residue.

Here,

the factors are of multiple of 10, then the factors will have at least one trailing zero.

We let the factors be a and b

Suppose a has m trailing zeroes and b has n trailing zeroes then, the Product of a and b i.e. ab has (m + n) at least trailing zeroes which are greater than both m and n.

Hence, we concluded that the product of a and b i.e. ab has at least (m + n) trailing zeroes that are greater than both m and n.

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To find the volume of the solid region bounded by the paraboloids y = x^2 and z = 4 - x^2, we need to set up triple iterated integrals in terms of x, y, and z.

One way to do this is to integrate over x first, then y, then z, or vice versa. Here are six different triple iterated integrals we can use:

1. ∫∫∫d dz dy dx
2. ∫∫∫d dx dy dz
3. ∫∫∫d dx dz dy
4. ∫∫∫d dy dx dz
5. ∫∫∫d dy dz dx
6. ∫∫∫d dz dx dy

Let's evaluate the first integral:

∫∫∫d dz dy dx

We start by finding the limits of integration for z. The paraboloid z = 4 - x^2 is above the paraboloid y = x^2, so the lower limit for z is y - x^2, and the upper limit is 4 - x^2.

Next, we find the limits of integration for y. The paraboloid y = x^2 is a function of x, so the limits are given by the x-values that bound the region d. Since the paraboloids intersect at x = -2 and x = 2, the limits for y are x^2 and 4 - x^2.

Finally, we find the limits of integration for x. The region d is symmetric about the yz-plane, so we can integrate over x from 0 to 2 and multiply by 2 to get the full volume. Therefore, the limits for x are 0 and 2.

Putting it all together, we have:

∫∫∫d dz dy dx = ∫0^2 ∫x^2^(4-x^2) ∫y-x^2^(4-x^2) dz dy dx

Evaluating this integral is a bit messy, but it can be done with some algebraic manipulation and trigonometric substitutions. The answer turns out to be: 64/15

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Answer:4

Step-by-step explanation:4x+6<2x+12

                                            4x-2x+6<12

                                            2x+6<12

                                            2x<12-6

                                            2x<6

                                            2x/2<6/2

                                            x<3

Answer:

x = 7

Step-by-step explanation:

The equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x

There are many different ways to define an equation. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

Various kinds of equations: Algebraic math equations include the following.

Equation with Lines;

More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.

A third-order equation is this one. At least one of the variables in cubic equations needs to be increased to exponent 2

Given ,

tank 1 = 120 - 1/2x

tank 2 =100 - 1/4x

Therefore 120-1/2x = 100-1/4x

So we can conclude that  the equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x

The complete question is: A tank has 120 gallons of water and is being drained at a rate of 12 gallon each second. Another tank has 100 gallons of water and is being drained at a rate of 14 gallon each second. Which equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water? Multiple choice question.

120x + 1/2 = 100x + 1/4

120 + 1/2x = 100 + 1/4x

120x - 1/2 = 100x - 1/4

120 - 1/2x = 100 - 1/4x

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Answer:

x=4.1 or any number higher

Step-by-step explanation:

The sign doesn't indicate that the number can be equal or greater to, which only means it can be bigger

The false statement among the given options is statement iv: "The sample means calculated from the samples of size 10 give a biased estimate of the true population mean compared with those from the samples of size 100."

Statements i, ii, and iii are true:
i. Each of the means calculated from the samples of size 100 is an unbiased estimate of the population mean. This is true because unbiased estimates are obtained when the sample mean is equal to the population mean on average.
ii. The standard deviation of the means calculated from the samples of size 10 is likely to be larger than the standard deviation of the means calculated from the samples of size 100. This is true because larger sample sizes tend to provide more precise estimates, resulting in smaller variability or standard deviation.
iii. Each of the means calculated from the samples of size 10 is an unbiased estimate of the population mean. This is true because unbiasedness is not dependent on sample size but on the sampling method itself.

Statement iv is false because the sample means calculated from samples of size 10 are unbiased estimates of the population mean, just like those calculated from samples of size 100. Unbiasedness is not influenced by sample size, but rather by the sampling method. The only difference is that the standard deviation of the means calculated from the samples of size 10 is expected to be larger than the standard deviation of the means calculated from the samples of size 100, as mentioned in statement ii.

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Answer:

j + 2s + 3t = $34

Step-by-step explanation:

Answer: 36$ IS NOT the correct price. 4+12+18 = 34. But, j+2s+3t=36 is the correct choice. of the two.

Step-by-step explanation:

Answer:

(-5+8,3-8) = (3,-5)

Step-by-step explanation:

The 99 % confidence interval for u, given the lifetimes for the brand following a normal distribution, would be C. 48.39 to 51.61.

To construct a 99% confidence interval for the population mean (µ), we can use the formula for a confidence interval, which is:

Confidence Interval = Sample mean ± (Z-value * (Standard deviation / √(n)))

The Z-value for a 99% confidence level is approximately 2.58 according to the standard normal distribution table.

The confidence interval is therefore:

Confidence Interval = 50 ± (2.58 * (5 / √(64)))

Confidence Interval = 50 ± (2.58 * (5 / 8))

Confidence Interval = 50 ± 1.6125

Lower limit:

= 50 - 1.6125

= 48.39

Upper limit:

= 50 + 1.6125

= 51.61

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The dimension of subspace a is 2 and the dimension of subspace b is 1.

To find the dimensions of subspaces, we need to find a basis for each subspace and then count the number of vectors in the basis.

a. The representative vector (d, c - d, c) can be written as (d, -d, 0) + (0, c, c) = d(1, -1, 0) + c(0, 1, 1). This shows that W is spanned by the set S = {(1, -1, 0), (0, 1, 1)}. To show that S is linearly independent, we can set the linear combination equal to zero:
a(1, -1, 0) + b(0, 1, 1) = (a, -a, b) + (0, b, b) = (0, 0, 0)
This implies a = -b and b = 0, which means a = b = 0. Therefore, S is linearly independent and a basis for W. The dimension of W is the number of vectors in the basis, which is 2.

b. The representative vector (2b, b, 0) can be written as b(2, 1, 0). This shows that W is spanned by the set S = {(2, 1, 0)}. To show that S is linearly independent, we can set the linear combination equal to zero:
a(2, 1, 0) = (0, 0, 0)
This implies a = 0. Therefore, S is linearly independent and a basis for W. The dimension of W is the number of vectors in the basis, which is 1.

In summary, the dimension of subspace a is 2 and the dimension of subspace b is 1.

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Answer:

x*x-81=0

x*x=81

x=√81

x=9

Answer:

To make the answer to 36 divided by 2/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

108 / 2 = 54  

Step-by-step explanation:

I am so sorry if i am wrong