need help..................
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The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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Answer:

24

Step-by-step explanation:

1. First, let's find the constant of proportionality by dividing the number of dumplings by the number of people.

2. Now that we know the constant of proportionality, let's multiply it by 6 to get the total number of dumplings.

Therefore, the answer is 24 dumplings!

Answer:

The distance between these two points with coordinates (-1, -4) and (-9, -8) is 8.94 unites

So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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Answer:

  12x³y²

Step-by-step explanation:

You want the product -2x (-3x²y)(2y).

An exponent is a means of telling the number of times the base is a factor in a product. For example, the exponent 2 means the base is a factor twice in the product:

  x² = x·x

When the same factor appears a number of times in a product, an exponent can be used to represent that number.

  (-2x)(-3x²y)(2y) = (-2)(-3)(2)(x·x²)(y·y)

The factor x appears 3 times in the product, and the factor y appears twice. The numerical product can be simplified, so the result is ...

  12x³y²

The trigonometric identities are verified that they are true.

What are trigonometric expressions?

Trigonometric identities are, by definition, reciprocal. These formulas show the connections between the sine/cosine functions and tangents.

1. LHS = sec x [ sec x - cos x]+(sin x+ cos x)/sin x- cot x

       = sec²x - sec x cos x +(sin x+ cos x)/sin x - cos x/sin x

       = sec²x - cos x/cos x +(sin x+ cos x- cos x)/sin x

       = sec²x - 1 + sin x /sin x

       = sec²x - 1 +1

      = sec²x

      = RHS

2. LHS = cos (π-Θ)+ sin (π/2 + Θ)

           = - cos Θ + cos Θ

           = 0

          = RHS

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The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Answer:

The ratio of their ages being 4:1, the Father is 40 and the Son is 10 years, now.

Step-by-step explanation:

5 years ago 40+5+5

Answer:

The present age of the father is 40.

Explanation:

40:10

40 - 5 = 35

10 - 5 = 5

35 + 5 = 40

Hope this helped. Have a lovely week!

In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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The acceleration of the collar at point A is 5 ft/s^2.

A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:

N - 5 = 0

where N is the normal force. Solving for N, we get:

N = 5 lb

B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:

x = L - y = 3 - 0 = 3 ft

where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:

F = kx = 10 lb/ft × 3 ft = 30 lb

The weight of the collar is:

W = mg = 5 lb

where g is the acceleration due to gravity. The net force on the collar is therefore:

Fnet = F - W = 30 - 5 = 25 lb

Using Newton's second law, we can write:

Fnet = ma

where a is the acceleration of the collar. Solving for a, we get:

a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2

Therefore, the acceleration of the collar at point A is 5 ft/s^2.

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Step-by-step explanation:

First we recall the relevant definitions and properties:

An even integer is an integer that is a multiple of 2, that is, an integer that can be written as 2k2k where kk is also an integer.

An abelian group is a set with an operation that is closed in that set, is associative, has an identity element, has inverses, and is commutative.

Addition is already associative and commutative over the set of all integers, and has an identity 00 and an inverse −n−n for each integer nn.

Oh, and multiplication of integers distributes over addition (this is important because we’re dealing with multiples of 2 but also with addition. The distributive property is how multiplication relates to addition).

This means we have to show a few things:

Addition is closed over the even integers. This holds due to the distributive property: if you have even integers 2k2k and 2m2m, then 2k+2m=2(k+m)2k+2m=2(k+m) is also an even integer. The odd integers fail this property: for example, 11 is odd but 1+1=21+1=2, which is not odd.

Addition is associative over the even integers. This holds because addition is already associative over the set of all integers: 2k+(2m+2j)=(2k+2m)+2j2k+(2m+2j)=(2k+2m)+2j. The odd integers do satisfy associativity, since they’re also a subset of the integers.

Addition has an identity element over the even integers. Since we already know that 00 is an identity for the set of all integers and 00 is even, this shows that we have an identity for the even integers: 2k+0=2k2k+0=2k. This doesn’t hold for the set of odd integers, because if nn and kk are odd integers and n+k=nn+k=n then k=0k=0, a contradiction since 00 is not odd.

Addition has inverses over the even integers. We already know that integers have inverses, and if 2k2k is an even integer then −k−k is the inverse of kk, so that 2k+2(−k)=2(k+(−k))=2(0)=02k+2(−k)=2(k+(−k))=2(0)=0. This means the even integer 2(−k)2(−k) is the inverse of 2k2k. The odd numbers do satisfy this property, since they’re also a subset of the integers.

Addition is commutative over the even integers. This holds because addition is already commutative over the set of all integers: 2k

In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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Answer:

Step-by-step explanation:

(x + 3)^2 + 2

= \(x^2+6x+9+2 = x^2+6x+11\)

Answer:

156 M

Reasoning you add How far He has walked from his starting point

Step-by-step explanation:

Answer: 156 m here u go

Answer:

he got some diabetes but the answer is looking it up   o-o

Step-by-step explanation:

Answer:

Step-by-step explanation:

-7-9=-16

The average weight of a male Florida panther rounded to the nearest whole number is 53 kg

What is average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Average weight = 52.6 kg

52.6

The number after decimal point is 6 which is more than 5.

So add  1 to the 52, we get 53

Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg

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Answer:

Jeriel would have to pay $17

Step-by-step explanation:

t= hours

$3 per t hour +$8 fee

t=3

3(3)+8= $17

How much would Jeriel have to pay if he left his car in the lot for t hours:

3t+8

How much total money would Jeriel have to pay for parking if he left his car in the lot for 3 hours?

$17

The mean is determined by dividing the sum by the number of values. Let s be the sum, we can expressed it as

Solve for s by multiplying both sides by 5

Therefore, the sum of values is 205.

Statement 1, 2 and 3 are correct about using the distributive property.

Expanding is the same as using the distributive property. Factoring means going from ab + ac to a(b + c).Factoring can only be done when an expression has two terms.

Statement 1: Expanding is the same as using the distributive property. The distributive property states that a(b + c) = ab + ac. When we expand an expression, we are multiplying everything out. So, expanding an expression is the same as using the distributive property. Therefore, this statement is correct.

Statement 2: Factoring means going from ab + ac to a(b + c).When we factor an expression, we are essentially undoing the distributive property. In other words, we are going from a common factor in the two terms to a product. This is exactly what happens when we factor ab + ac to a(b + c). Therefore, this statement is correct.

Statement 3: Factoring can only be done when an expression has two terms. Factoring is the process of breaking down an expression into simpler factors. However, in order to do that, the expression needs to have two or more terms. If the expression only has one term, then we cannot factor it. Therefore, this statement is correct.

Statement 4: Factoring can only be done when an expression has plus signs. This statement is incorrect. Factoring can be done when an expression has either plus signs or minus signs. For example, we can factor x² - 4 to (x + 2)(x - 2). Therefore, this statement is incorrect.

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Answer:

the answer is 15

Step-by-step explanation:

i know this right.

Answer:

2.75

Step-by-step explanation:

i think the awnser is 2.75

The graph of the triangle is on the image at the end.

Remember that the area of a triangle of base B and height H is:

A = B*H/2.

Here we want to have an area of 21, then we can use:

B = 6

H = 7

Then:

A = 6*7/2

A = 3*7 = 21

So we must have a base of 6 units and a height of 7 units, then the vertices that we can have are:

(-3, 0), (3, 0), (-3, 7)

So we will have a right triangle such that the vertices are on the first and second quadrant, the graph of the vertices is below.

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Answer:

Step-by-step explanation:

From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that \(\\ (x+2)^{2}\)+\(y^{2}\)=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=\(\sqrt{42}\). Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=\(\sqrt{42}\)+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+\(\sqrt{42}\)+2. now we know what X is equal to. Now we plug in x for \(\\ (x+2)^{2}\)+\(y^{2}\)=42, which gives us          \((-y+\sqrt42}+2+2)^{2}\)+\(y^{2}\)=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+\(\sqrt{42}\)+4+y=\(\sqrt{42}\). I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.

Answer:

Step-by-step explanation:

x + (1)7  = x + 7

x + 2(7) = x + 14

Given:

To sketch the graph:

First find the three points.

Put x=-1 we get,

Put x=0 we get,

Put x=1 we get,

Therefore, the three points are, (-1, 0.4), (0, 1), and (1, 2.5).

The graph is,