givin the standard form for a trinomial ax^2+bx+c, and factored form (px+r)(qx+s) match the following:
a=
b=
c=
to
(p*s)+(q*r)
r*s
p*q

The magnitude of the x-component of this vector is 9.05m.

The angle of inclination of the vector is calculated as;

θ = 90 ⁰ - 48.4 ⁰

θ = 41.6 ⁰

The magnitude of the x-component of the vector is calculated as;

Vx = 12.1 m x cos ( 41.6 )

Vx = 9.05 m

A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.

Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.

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Complete Question:-

Step-by-step explanation:

It looks like you have provided the recursive formula for a sequence, with the initial condition of A(1) = 5/3.

To find the values of the sequence, we can use the recursion formula, which tells us that each term in the sequence is equal to the previous term multiplied by x-9. We can start by finding A(2), which will be:

A(2) = A(1) x (x-9)

A(2) = (5/3) x (x-9)

We can continue this process to find the next terms in the sequence. We can express A(3) in terms of A(2), and then A(4) in terms of A(3), and so on. Here is the general expression for A(n):

A(n) = (5/3) x (x-9)^{n-1}

So, given any value of x, we can use this formula to find the nth term in the sequence.

For example, if x=2, we can find the first few terms of the sequence:

A(1) = 5/3

A(2) = (5/3) x (2-9) = -15

A(3) = (5/3) x (2-9)^2 = 135/4

A(4) = (5/3) x (2-9)^3 = -6075/8

And so on.

Answer:

Step-by-step explanation:

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Answer:

Step-by-step explanation:

lines cut by a transverse line which make angle x and y alternate exterior angles

Answer:

\(y = x+12\)

Step-by-step explanation:

Parallel => This means it has the same slope as this one.

Slope = m = 1

Now,

Point = (x,y) = (-6,2)

So, x = -6, y = 2

Putting this in slope intercept form to get b

\(y = mx+b\)

=> 2 = (1)(-6) + b

=> b = 2+6

=> b = 8

Now putting m and b in the slope-intercept form to get the required equation:

=> \(y = mx+b\)

=> \(y = x+12\)

Answer:

Now, I’m gonna assume that the equation is actually y = -4/3x + 11

The answer would be -4/3x - 6

Step-by-step explanation:

So since the line is parallel to the equation, y = -4/3x + 11, that means they have the same slope, so it’s -4/3x.

Using point-slope form, we can create an equation.

y - 2 = -4/3 (x + 6)

y1 = 2 and x1 = -6, we made it into +6 because subtracting a negative makes it addition.

Now our final equation would be y = -4/3x - 6

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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To learn abount the students opinion about nutritional quality of school lunch the cashier asked each every fifth student as they pay for their lunch.

This type of sampling method is when you take the sample using a fixed and periodic interval and is called systematic sampling

Answer:

85.2

Step-by-step explanation:

add all scores (98+78+84+75+91)

then with that answer (426)

divide by how many scores there are (5)

Answer:

85.2

Step-by-step explanation:

Answer:

(- infinity, infinity), (x | x € R)

(-2, infinity), {y | y > -2)

Step-by-step explanation:

I think that's right not sure though

Answer:

C

Step-by-step explanation:

Answer:

7 days

Step-by-step explanation:

We need to find bracelets per day.

1 day 2 days

5 bracelets 10 bracelets

since we know how many bracelets she can make per day, all we have to do is divide 35 by 5.

to get 7 days.

The equation that describes the graphed function \(f(x) = \frac{1}{x}\)  is option A:\(y = (x + 2) - 1.\) This is shown in the graph given below, and transformation is translation.

To mathematically derive this equation, start with the original function \(f(x) = \frac{1}{x}\).

The given function \(f(x) = \frac{1}{x}\) has a reciprocal relationship between x and y.

To perform a horizontal translation 2 units left, substitute (x + 2) for x. This gives:\(f(x + 2) = \frac{1}{x + 2}\).

Next, to achieve a vertical translation 1 unit down, subtract 1 from the function.

Thus, \(f(x + 2) - 1 = \frac{1}{x + 2}- 1\).

Simplifying further, combine the terms gives:

\(y = (x + 2) - 1.\)

This equation represents the original function :

\(f(x) = \frac{1}{x}\)

After a horizontal translation of 2 units left and a vertical translation of 1 unit down.

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Given:

Considering that the lower intersection is a translation of the upper intersection.

Required:

To find the meaning about the measures of the corresponding angles.

Explanation:

The ower intersection is a translation of the upper intersection.

This means that corresponding ngles overlap ech other on translation.

So, the corresponding angles are congruent.

Final Answer:

The corresponding angles are congruent.

To show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 13 cm  the procedure that can be used is : C. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to

form a right triangle.

In Option C, we are given the lengths 5 cm, 9 cm, 12 cm, and 13 cm. The converse of the Pythagorean theorem states that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In this case, we have 52 + 122 = 132, which satisfies the condition for a right triangle according to the Pythagorean theorem.

By drawing the 5 cm side and the 12 cm side with a right angle between them, we can see that the 13 cm side will fit perfectly to form a right triangle. This demonstrates the converse of the Pythagorean theorem.

Option C is the correct procedure to show the converse of the Pythagorean theorem using the given side lengths.

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Answer:

98.1°F ≤ x ≤ 99.1°F

Step-by-step explanation:

Given the function:

f(x) = |98.6 - x|

Variance = 0.5

98.6°F - x = ± 0.5

Lower bound :

98.6 - 0.5 ≤ x

98.1 ≤ x

Upper bound :

x ≤ 98.6 + 0.5

x ≤ 99.1

Hence,

98.1°F ≤ x ≤ 99.1°F

Answer:

{y,x}={-2,8}

Step-by-step explanation:

The standard deviation of the number of residents in the sample who were born in Colorado is 7.82

Standard deviation:

The measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists is know as standard deviation.

Given,

According to 2015 census data, 42.7 percent of Colorado residents were born in Colorado. if a sample of 250 Colorado residents is selected at random.

Here we need to find the standard deviation of the number of residents in the sample who were born in Colorado.

Here we know that following details,

Number of sample = 250

Estimated proportion for residents born in Colorado = 42.7% which is equal to = 0.427.

Let us consider X be the random variable of interest (number of residents in the sample), on this case we now that:  

X ~ (n = 250, p = 0.427)

Now, according to the probability mass function for the Binomial distribution is given as:  

E(X) = n x p = 250 x 0.427 = 106. 75.

Now, the standard deviation for the random variable is given by:

SD = √106.75 (1 - 0.427)

SD = √106.75(0.563)

SD = 7.82

Therefore, the standard deviation is 7.82.

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Answer:

I did this question just the other day. The answer you are looking for is B or the second one.

Step-by-step explanation:

Answer:

its the number two correct me if im wrong

Answer:

10

Step-by-step explanation:

Remove parentheses.

|9+1|

Simplify  9+1  to 10.

|10|

simplify

10

1. The probability is very low that the waitress will get no tip from 7 customers on this Friday. 2. The probability of the team having at most 1 injury in this game is 27.6%. 3. the probability of the company receiving at least seven death claims on a randomly selected day is: P(x ≥ 7) = 1 - P(x < 7) P(x ≥ 7) = 1 - 0.501 P(x ≥ 7) = 0.499 or 49.9%

1. Assuming the probability of not getting a tip from a customer is 1/5 or 0.2, the probability of not getting a tip from 7 customers is:

(0.2)^7 = 0.00001 or 0.001%

So the probability is very low that the waitress will get no tip from 7 customers on this Friday.

2. The probability of having at most 1 injury in this game can be found using the Poisson distribution formula:

P(x ≤ 1) = e^(-λ) * (λ^0/0! + λ^1/1!)

where λ = 3.2

P(x ≤ 1) = e^(-3.2) * (3.2^0/0! + 3.2^1/1!)
P(x ≤ 1) = 0.276 or 27.6%

So the probability of the team having at most 1 injury in this game is 27.6%.

3. The probability of the company receiving at least seven death claims on a randomly selected day can be found using the Poisson distribution formula:

P(x ≥ 7) = 1 - P(x < 7)
P(x < 7) = ∑(k=0 to 6) (e^(-λ) * λ^k / k!)

where λ = 6

P(x < 7) = ∑(k=0 to 6) (e^(-6) * 6^k / k!)
P(x < 7) = 0.501 or 50.1%

So the probability of the company receiving at least seven death claims on a randomly selected day is:

P(x ≥ 7) = 1 - P(x < 7)
P(x ≥ 7) = 1 - 0.501
P(x ≥ 7) = 0.499 or 49.9%
1. To find the probability that the waitress will get no tip from 7 customers this Friday, we will use the Poisson distribution. Let λ represent the average number of customers who give no tip. In this case, λ = 5. We are interested in finding P(x = 7).

2. For the football game, we will also use the Poisson distribution. The average number of injuries is λ = 3.2, and we want to find the probability of having at most 1 injury, which means P(x ≤ 1).

3. For the life insurance company, the Poisson distribution will be used again. The average number of death claims per day is λ = 6. We need to find the probability that the company receives at least seven death claims on a randomly selected day, which means P(x ≥ 7).

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Answer:

10

I hope this it right

sorry if it is wrong

Answer:

From A you go down to E, then to the right to F, down to J, to the right to K, up to G, up to C, right to D, down to H, and then the escape box dsvfhwvhvwhr,vhf

Answer:

Starting Mass: 42.1443

Mass after 1 hour: 38.31300

Step-by-step explanation:

34.83g+10%=38.31300

38.31300+10%=42.1443

(you can report me or delete this answer if it's wrong)

The test that will allow you to analyze the differences in blood pressure between groups, after adjusting for age is the one way ANOVA test.

One-way analysis of variance is a statistical approach that can be used to determine if the means of two samples are substantially different or not. One-way ANOVA ("analysis of variance") examines the means of two or more independent groups to see if there is statistical evidence that the related population means differ significantly.

One-way ANOVA is commonly employed when there is a single independent variable, or factor, and the purpose is to determine whether fluctuations or various amounts of that factor have a measurable effect on a dependent variable. This van be used to illustrate the relationship.

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Answer:

Solve 3 what?

Step-by-step explanation:

Answer:

Just keep it clean Man come on

Step-by-step explanation:

Note : Your wasting your own points

The sequence 23,27,31,35,39, . . . . is arithmetic and the tenth term is: 59

We can determine that the sequence is arithmetic, because two consecutive terms differ by "d".

To solve this exercise we are going to apply the formula of the arithmetic sequence:

Where:

Information about the problem:

Calculating the "d" term, we have:

d = aₙ₊₁ - aₙ

d = 27 - 23

d = 4

Calculating the tenth term, we get:

aₙ= a + (n-1) * d

a₁₀= 23 + (10-1) * 4

a₁₀= 23 + (9) * 4

a₁₀= 23 + 36

a₁₀= 59

It is a series of numbers that increase or decrease by a constant amount called the ratio of the progression. It is increasing when the ratio is positive and decreasing when it is negative.

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Explanation:

If any polynomial function f(x) = ax^4 + bx^3 + cx^2 + dx + e is divided by (x + m), then the remainder obtained is f(-m).

So if polynomial x^4 + k is divided by x + 2 then remainder is,

But the remainder is 3. So equation for k is,

Simplify the equation for k.

So value of k is -13.

Answer: -13

To solve the exercise you can use a rule of three, like this:

Therefore, $16,000 U.S. Dollars are 2043.2 Chinese yuan.