What is the image point of (9,0) after a translation left 2 units and up 5 units?

A player can choose 7 numbers from the numbers 1 to 40 in 85,900,584 different ways.

To determine the number of ways a player can choose 7 numbers from a pool of 40 numbers, we can use the concept of combinations.

The number of ways to choose 7 numbers from a set of 40 can be calculated using the binomial coefficient, denoted as "40 choose 7" or (40 C 7).

The formula for the binomial coefficient is given by:

(n C k) = n! / (k! * (n - k)!)

where n is the total number of items to choose from and k is the number of items to be chosen.

Applying this formula to our case, we have:

(40 C 7) = 40! / (7! * (40 - 7)!)

Simplifying this expression:

(40 C 7) = 40! / (7! * 33!)

Since 7! can be canceled out in the numerator and denominator, we have:

(40 C 7) = (40 * 39 * 38 * 37 * 36 * 35 * 34) / (7 * 6 * 5 * 4 * 3 * 2 * 1)

Calculating this expression:

(40 C 7) = 85,900,584

Therefore, a player can choose 7 numbers from the pool of 40 in 85,900,584 different ways.

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Answer:

nudaw HAHABSASASNA

Step-by-step explanation:\(x^{2} g\)

hggggguuuuugs berte bhu jira yuwa

Answer:

-3/5

Step-by-step explanation:

\(slope = \frac{ - 3 - 6}{7 - ( - 8)} \\ \\ = \frac{ - 9}{7 + 8} \\ \\ = \frac{ - 9}{15} \\ \\ = - \frac{3}{5} \\ \)

The slope of the line that goes through the points (–8, 6) and (7, –3) is –3 / 5

Slope = Chang in y-coordinate / change in x-coordinate

m = (y₂ – y₁) /  (x₂ – x₁)

m = (y₂ – y₁) /  (x₂ – x₁)

m = (–3 – 6) /  (7 – (–8))

m = –9 / 15

m = –3 / 5

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Answer:

It would be 1,2 i think

Step-by-step explanation:

................................................

Answer: x - 5 > -10

x > -10 + 5

x > -5

Step-by-step explanation:

Answer:

{x | x  R, x > -5}

Step-by-step explanation:

This is a consequence of the limit properties of sequences is true.The statement "If (a_n) is a convergent sequence, then ∑ a_n is a convergent series" is true. The limit of the infinite series 1 - 2^(1/1) + 2^(1/2) - 2^(1/3) + ... is undefined.

(i) The statement "If a_n → α, b_n → β, and a_n < b_n, then α < β" is true. This is because if a sequence a_n converges to α and b_n converges to β, and all terms of a_n are less than the corresponding terms of b_n, then it follows that α must be less than β. This is a consequence of the limit properties of sequences.

(ii) The statement "If (a_n) is a convergent sequence, then ∑ a_n is a convergent series" is true. If a sequence (a_n) converges, then the series formed by summing its terms, denoted by ∑ a_n, will also converge. This is a fundamental result in calculus.

(iii) The statement "If p(x) is a polynomial and a_n → α, then p(a_n) → p(α)" is true. If a sequence (a_n) converges to α and p(x) is a polynomial, then the sequence obtained by applying p(x) to each term of (a_n), denoted by p(a_n), will also converge to p(α). This follows from the continuity of polynomials.

(iv) The statement "If a_n → α ≠ 0, then (a_n / |a_n|) converges" is false.

The sequence (a_n / |a_n|) does not converge when α ≠ 0. This is because the sign of a_n changes infinitely many times as n increases, and the sequence does not approach a fixed value.

(i) The limit of the infinite series 1 + 2^(1/1) + 2^(1/2) + 2^(1/3) + ... is infinite. As n increases, the terms of the series become larger and larger, and there is no finite limit.

(ii) The limit of the infinite series 1 - 2^(1/1) + 2^(1/2) - 2^(1/3) + ... is undefined. This is because the terms of the series alternate between positive and negative values, and as n increases, the terms do not approach a single value. Therefore, the series does not converge.

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Answer: 5.0625 or 5 1/16

Step-by-step explanation:

im smart

Answer: 8

Step-by-step explanation:

Using SOHCAHTOA, we need TOA as we have the opposite (1) and the adjacent (7)

θ = \(tan^{-1}(\frac{1}{7} )\) = 8.13 = 8

Answer:

The area is 336

Step-by-step explanation:

1/2(5×14) (9.6)

(5×7)(9.6)

336

Answer:

3) m = -3/2

4) m = 3/2

5) m = 5/3

6) m =  7/3

7) m = -3

8) m = 7/3

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

3/ ( -4, 0) ( -2, -3)

The y decrease by 3, and the x increase by 2, so the slope is

m = -3/2

4/ (2,0) (0, -3)

The y decrease by 3, and the x decrease by 2, so the slope is

m = -3/-2 = 3/2

5/ (-1,2) (-4, -3)

The y decrease by 5, and the x decrease by 3, so the slope is

m = -5/-3 = 5/3

6/ (4,3) (1, -4)

The y decrease by 7, and the x decrease by 3, so the slope is

m = -7/-3 = 7/3

7/ (1,2) (3, -4)

The y decrease by 6, and the x increase by 2, so the slope is

m = -6/2 = -3

8/ (0,3) (-3, -4)

The y decrease by 7, and the x decrease by 3, so the slope is

m = -7/-3 = 7/3

S cannot be a basis for \(R^{n }\)

What is Matrix ?

A matrix is a rectangular array of numbers or symbols arranged in rows and columns. Matrices are commonly used in mathematics, physics, engineering, computer science, and other fields to represent systems of linear equations, transformations, and other mathematical objects and operations.

The statement "For each b in  \(R^{m }\), the equation Ax - b has a solution" is equivalent to the following statements:

A. The columns of A span \(R^{m }\)

B. Each b in \(R^{m }\) is a linear combination of the columns of A.

E. The matrix A has a pivot position in each column.

To explain why S cannot be a basis for  \(R^{n }\) , we can use the fact that a set of vectors S = {v1, ..., vk} is a basis for  \(R^{n }\) if and only if the matrix whose columns are the vectors in S is invertible. In this case, since k < n, the matrix whose columns are the vectors in S cannot be invertible because it has more columns than rows.

Therefore, S cannot be a basis for \(R^{n }\).

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If this figure was a parallelogram, then the opposite angles would be congruent. This would make angles B and D the same measure

angle B = angle D

x^2+20 = 7x+50

x^2+20-7x-50 = 0 .... get everything to one side

x^2-7x-30 = 0

(x-10)(x+3) = 0 ... see note below

x-10 = 0 or x+3 = 0

x = 10 or x = -3

Note: In this step is where the factoring occurs. To factor, we need to find two numbers that multiply to -30 which is the last term, and also add to -7 which is the middle coefficient. This is a trial and error process. You should find that -10 and 3 both multiply to -30 and add to -7. I suggest making a table as shown below (attached image) to list out all the possible choices.

Perhaps a much more efficient route is to use the quadratic formula.

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

We found two possible solutions for x. If x = 10, then 7x+50 is 7(10)+50 = 120 which is an obtuse angle. If x = -3, then 7x+50 = 7(-3)+50 = 29 which is acute.

Assuming the diagram is drawn to scale, this means angle D is obtuse and we'll go with x = 10 and 7x+50 = 120

Angles A and D add to 180 degrees. This is true for any pair of adjacent angles in a parallelogram.

A+D = 180

A+120 = 180

A = 180-120

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

This answer is based on the assumption that the diagram is drawn to scale and that this quadrilateral is a parallelogram.

Answer:

\(\angle A=60\textdegree\)

Step-by-step explanation:

So we have the following parallelogram and we wish to solve for ∠A.

To do so, we will need to solve for x first. Look carefully at the parallelogram...

Notice that ∠A and ∠D are consecutive angles. In other words:

\(\angle A+\angle D=180\)

Since we have an equation for ∠D, substitute:

\(\angle A+7x+50=180\)

Notice that ∠A and ∠B are also consecutive angles. So:

\(\angle A+\angle B=180\)

We know the equation for ∠B. Substitute:

\(\angle A+x^2+20=180\)

Since both equations equal 180, we can set them equal to each other:

\(\angle A+7x+50=x^2+20+\angle A\)

Let's subtract ∠A from both sides. This gives us:

\(7x+50=x^2+20\)

Now, we can solve for x. This is a quadratic, so let's move all the terms to one side. To start off, let's subtract 50 from both sides:

\(7x=x^2-30\)

Now, let's subtract 7x from both sides:

\(0=x^2-7x-30\)

Solve for x. We can factor.

Here's the trick to factoring. If we have the following:

\(0=ax^2+bx+c\)

The we will need to find two numbers, p and q, such that:

\(p+q=b\text{ and } pq=ac\)

In our equation, a is 1, b is -7, and c is -30.

So, we want two numbers that sum to -7 and multiply to (1)(-30)=-30.

We can use -10 and 3. -10+3 is -7 and -10(3) is -30. So, let's substitute our b term for -10x and 3x. In other words, we have:

\(0=x^2-7x-30\)

Substitute -7x for 3x-10x. This gives us:

\(0=x^2+3x-10x-30\)

This is equivalent to our old equation.

Now, we can factor. Factor out a x from the first two terms:

\(0=x(x+3)-10x-30\)

And factor out a -10 from the two last terms:

\(0=x(x+3)-10(x+3)\)

Since the expressions within the parentheses are the same, we can use grouping to acquire:

\(0=(x-10)(x+3)\)

Note that this is essentially the distribute property. If we distribute, we will get the same as above.

Zero Product Property:

\(x-10=0\text{ or }x+3=0\)

Solve for x:

\(x=10\text{ or } x=-3\)

So, we have two cases for x. Each case will yield a different answer for ∠A.

Case I: x=10

Use our original equation of:

\(\angle A+7x+50=180\)

Substitue 10 for x:

\(\angle A+7(10)+50=180\)

Multiply:

\(\angle A+70+50=180\)

Add:

\(\angle A+120=180\)

Subtract 120 from both sides:

\(\angle A=60\textdegree\)

So, in our first case, ∠A is 60°

Case II: x=-3

Again, same equation:

\(\angle A+7x+50=180\)

This time, substitute -3 for x. This yields:

\(\angle A+7(-3)+50=180\)

Multiply:

\(\angle A-21+50=180\)

Add:

\(\angle A+29=180\)

Subtract 29 from both sides:

\(\angle A=151\textdegree\)

So, in our second case, ∠A is 151°

However, 151° doesn't seem likely with how the figure is drawn.

Therefore, our final answer is 60°.

And we're done!

Edit: Fixed Incorrect Answer

Given statement solution is :- When the weight of apples is increased by a factor of 4, the total cost also increases by a factor of 4. The correct answer is 4, not 8.

To determine the factor by which the total cost increases when the weight of apples is increased by a factor of 4, let's examine the relationship between the weight and total cost in the given ratio table.

Weight (lb) | Total cost (S)

1 | 2

4 | 8

6 | 12

10 | 20

To find the factor by which the total cost increases, we need to compare the change in total cost to the change in weight. Let's consider the first and last entries in the table:

Initial weight: 1 lb

Initial total cost: 2 S

Final weight (increased by a factor of 4): 4 * 1 lb = 4 lb

Final total cost: 8 S

The change in weight is from 1 lb to 4 lb, which is a factor of 4. The change in total cost is from 2 S to 8 S, which is also a factor of 4.

Therefore, when the weight of apples is increased by a factor of 4, the total cost also increases by a factor of 4. The correct answer is 4, not 8.

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Answer: D

Step-by-step explanation:

Because if you count from the tup to bottom their is 4 and if you count from top to right its 5 so its... 5 x 4.

IM NOT GOOD AT EXPLAINING ... CAN SOMEONE HELP ME EXPLAIN ?...

Answe my  uuuuuuttt

Step-by-step explanation:

To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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The slope of the tangent to the curve x² + y³ = 12 at the point when x = 2 is

To find the slope of the tangent to the curve x² + y³ = 12 at the point when x = 2, we need to find the derivative of y with respect to x using implicit differentiation.

Taking the derivative of both sides with respect to x, we get: 2x + 3y²(dy/dx) = 0

We want to find the slope when x = 2, so we substitute x = 2 into the equation above: 2(2) + 3y²(dy/dx) = 0 4 + 3y²(dy/dx) = 0 3y²(dy/dx) = -4 dy/dx = -4/(3y²)

Now, we need to find the value of y when x = 2. Substituting x = 2 into the original equation, we get: 2² + y³ = 12 y³ = 8 y = 2 So, when x = 2, y = 2. Substituting this into the equation for dy/dx, we get: dy/dx = -4/(3(2²)) = -4/12 = -1/3

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Answer:

pi r squared

Step-by-step explanation:

A=pir2

pi is 3.14

hope it helps

We need to find the percentage of prates own a pet crab

There are 20 prates

4 of them own pet

Then we need the percent of 4 out of 20

We will divide 4 by 20 and multiply the answer by 100%

We will simplify it

The percentage of prates on the ship own a pet is 20%

To evaluate the probability of making a type I error, we need to calculate the significance level or alpha level. The significance level is the probability of rejecting the null hypothesis when it is actually true. In this case, the null hypothesis would be that the true proportion of vehicle engine failures due to cooling system problems is equal to or less than 40% (p ≤ 0.4).

a) To evaluate the probability of making a type I error, we need to calculate the probability that the test statistic falls in the critical region when the null hypothesis is true. In this case, the critical region is defined as x < 26, where x is the number of vehicles with cooling system problems. We can approximate the distribution of the test statistic (number of vehicles with cooling system problems) with a normal distribution, using the normal approximation to the binomial distribution. To do this, we need to calculate the mean and standard deviation of the binomial distribution. For a binomial distribution with parameters n (number of trials) and p (probability of success), the mean (μ) is given by μ = np, and the standard deviation (σ) is given by σ = √(np(1-p)). In this case, n = 70 (number of vehicles) and p = 0.4 (proportion of failures due to cooling system problems).

μ = 70 * 0.4 = 28

σ = √(70 * 0.4 * (1-0.4)) = 3.92 (approx.)

Now, we can calculate the z-score for the critical value x = 26:

z = (x - μ) / σ = (26 - 28) / 3.92 = -0.51 (approx.)

Using a standard normal distribution table or calculator, we can find the probability of z < -0.51. Let's assume this probability is P(Z < -0.51).

a) The probability of making a type I error (rejecting the null hypothesis when it is true) is equal to the significance level (α), which is defined by the researcher. If we assume a significance level of 0.05 (5%), the probability of making a type I error is: Probability of Type I error = α = P(Z < -0.51)

b) To evaluate the probability of committing a type II error, we need to consider the alternative hypothesis. In this case, the alternative hypothesis is that the true proportion of vehicle engine failures due to cooling system problems is p = 0.3. We want to calculate the probability of accepting the null hypothesis (not rejecting it) when it is false. This is the complement of the power of the test (1 - power). The power of a test is the probability of correctly rejecting the null hypothesis when it is false (i.e., 1 - type II error). In this case, the type II error is failing to reject the null hypothesis when the true proportion is p = 0.3. To calculate the power of the test, we need to determine the critical region for the alternative hypothesis. Since the critical region for the null hypothesis is x < 26, the critical region for the alternative hypothesis would be x ≥ 26.

Using the same approach as before, we can calculate the z-score for the critical value x = 26: z = (x - μ) / σ = (26 - 28) / 3.92 = -0.51 (approx.)

Now, we need to calculate the probability of z ≥ -0.51. Let's assume this probability is P(Z ≥ -0.51). b) The probability of committing a type II error is equal to 1 - power. Therefore: Probability of Type II

error = 1 - power = 1 - P(Z ≥ -0.51)

Please note that the actual values for P(Z < -0.51) and P(Z ≥ -0.51) should be obtained using a standard normal distribution table or calculator. The calculations provided here are approximate for demonstration purposes.

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Answer:it's

Step-by-step explanation:

Answer:

1/6=15/90

1 is defective from 6 pair

Step-by-step explanation:

15

Answer: x = 15 or x = -7

Step-by-step explanation:

Step 1: Divide both sides by 3.

Step 2: Solve Absolute Value.

|x−4|=11 We know either x − 4 = 11 or x − 4 = −11

x−4=11(Possibility 1)

x−4+4=11+4(Add 4 to both sides)

x=15

x−4=−11(Possibility 2)

x−4+4=−11+4(Add 4 to both sides)

x=−7

The correct answer is: None of these answers is correct.The random variable representing the time lapsed during the run in this experiment is a continuous random variable.

I apologize for the previous incorrect answer. The random variable representing the time lapsed during the run in the given experiment is a continuous random variable. A continuous random variable can take on any value within a specified range or interval. In this case, the time elapsed during the run can theoretically be any non-negative real number, allowing for an infinite number of possible outcomes. It is not restricted to specific discrete values or intervals. Examples of continuous random variables include time, length, weight, and temperature.

Continuous random variables are characterized by their probability density function (PDF), which describes the likelihood of observing different values. In contrast, a discrete random variable would have a finite or countable set of possible values, such as the number of heads obtained in a series of coin flips.

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a. The value of midsize car now if someone paid $14,100 for it 5 years and it is depreciating at a rate of 8.5% per year is $9,038.

To find the current value of the midsize car, we need to calculate the depreciation over the past 5 years.

Let V be the current value of the car, then we can write:

V = 14100 * (1 - 0.085)^5

V = 14100 * 0.915^5

V = 14100 * 0.641

V = 9038.1

Rounding to the nearest whole dollar, the value of the midsize car now is $9,038.

b. If someone pays $18,200 for a midsize car today, the number of years it would take to be worth $11,000 is 5.5 years.

To find out how long it takes for a car purchased at $18,200 today to be worth $11,000, we need to solve for t in the following equation:

11000 = 18200 * (1 - 0.085)^t

Dividing both sides by 18200:

0.604 = 0.915^t

Taking the natural logarithm of both sides:

log(0.604) = log(0.915^t)

Using the property of logarithms that log(a^b) = b log(a):

log(0.604) = t log(0.915)

Dividing both sides by log(0.915):

t = log(0.604) / log(0.915)

t = 5.67 ≈ 5 years 6 months approximately.

Therefore, we would expect the midsize car purchased at $18,200 today to be worth $11,000 after about 5.5 years, rounded to one decimal place.

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Answer:

i can explain it to you if u want

Step-by-step explanation:

Divide the polygon into 5 triangles by using each side as a base and joining the vertices of the polygon to a common point (for example, the centre). If the polygon is regular the angle at the vertex of each triangle is 360/5=72 degrees, so you have 5 isosceles triangles of equal area. Find the area of one and multiply by 5 to get the total area.multiply 5 times the lenght of oneside

Answer:

i believe the answer is 1/9, sry if im wrong

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

f(13)=30/or just 30

Step-by-step explanation:

Think im right