Identify the coordinates of four points on the line with each given slope and y-intercept. slope = 2/3 and y-intercept = -5
PLEASE ANSWER

Answer:4.62x10^13

Step-by-step explanation:

The distance the object will have fallen after 6 sedconds is 332ft

A variation is a relation between a set of values of one variable and a set of values of other variables.

Direct variation

In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation. That is, you can say that y varies directly as x or y is directly proportional to x. In this function, m (or k) is called the constant of proportionality or the constant of variation. The graph of every direct variation passes through the origin.

le the distance be d and he time be t

so that d ∝\(t^{2}\)

removing the proportionality sign and replacing it with a constant k

d = kt^2

when d = 83, t = 3

83 = k(3)^2

83 = 9k

k = 83/9

the equation becomes

d = 83/9 (t)^2

when t = 6, d becomes

d = 83/9 x(6)^2

d = 83/9 x 36

d = 332ft

In conclusion d = 332ft

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The probability that exactly 4 seeds don't grow out of 11 planted is approximately 0.992.

This is a binomial distribution problem, where the probability of success (plant growing) is p = 0.6 and the probability of failure (plant not growing) is q = 1 - p = 0.4. We want to find the probability that exactly 4 seeds don't grow out of 11 planted.

The formula for this is:

P(X = k) = (n choose k) * p^k * q^(n-k)

where X is the number of seeds that don't grow, k = 4, n = 11, (n choose k) is the binomial coefficient which can be calculated as (n choose k) = n! / (k!(n-k)!), and p and q are the probabilities of success and failure respectively.

Substituting the values, we get:

P(X = 4) = (11 choose 4) * 0.4^4 * 0.6^7

= (11! / (4! * 7!)) * 0.0256 * 0.1176

= 330 * 0.003008256

= 0.99227008

Therefore, the probability that exactly 4 seeds don't grow out of 11 planted is approximately 0.992.

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Answer:

10 years old.

Step-by-step explanation:

Just do 15-5=10

Answer:

10 minutes per mile

Step-by-step explanation:

theres no answer soooo i dont think this one is right

Answer:

\(y = -2x - 8\\OR\\2x+y+8=0\)

Step-by-step explanation:

Given that there are 2 points

\(A(-8,8)\) and

\(B(1,-10)\)

So, the coordinates are:

\(x_2 = 1\\x_1 = -8\\y_2 = -10\\y_1 = 8\)

Equation of a line is given as:

\(y =mx+c\)

where 'm' is the slope of the line, formula for 'm' is given as:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\((x,y)\) are the points that satisfy the equation of the line.

\(c\) is the \(y -\) intercept.

Calculating the value of m using the given coordinates:

\(m=\dfrac{-10-8}{1-(-8)}\\\Rightarrow m=\dfrac{-18}{9} = -2\)

So, the equation of line becomes:

\(y =-2x+c\)

Now, putting the coordinates of point \(A(-8,8)\)

\(8 =-2\times (-8)+c\\\Rightarrow 8 = 16+c\\\Rightarrow c = -8\)

Please refer to the graph of given equation of line.

The equation of line is:

\(y =-2x+-8\\OR\\2x+y+8=0\)

Answer:

B. 3^(-5) and D. 2^5 × 6^(-5)

Step-by-step explanation:

Recall that \(\displaystyle\\x^{-n}=\frac{1}{x^n}\)

Manipulating, we get:

\(\displaystyle \\\frac{2^5}{6^5}=\left(\frac{2}{6}\right)^5=\left(\frac{1}{3}\right)^5=\boxed{\text{B. }3^{-5}}=2^5\cdot \frac{1}{6^5}=\boxed{\text{D. }2^5\cdot 6^{-5}}\)

⇒Answer choices B and D

Answer:

(B) 3^-5 and (D) 2^5 . 6^-5

Step-by-step explanation:

Answer:

y=4500x+32000

Step-by-step explanation:

If they are increasing at a constant rate of 4500 then that is the coefficient of x, and if they received a 32000$ donation then that is the y-intercept so you add that to 4500x to get this equation.

Hope this answer helped!

Answer:

The sentences are

) It was a difficult moment, but I did what seemed right, which was to say, "Of course not," and then to take her onto my lap and hold her for a while.

2) They would discuss their experiences right up to the time of battle and then suddenly they wouldn't talk anymore

Step-by-step explanation:

Answer:  1.  They would discuss their experiences right up to the time of battle and then suddenly they wouldn't talk anymore

2.  It was thought that they had seen or done was so horrible.....

Step-by-step explanation:  I just took the test on Plato and these were the correct answers

Answer:

P(blue) = 1/3  (Answer)

Step-by-step explanation:

Probability for any event A is given by

p(A) = no of times of happening of event A/ total no of occurrence of all the event given under the situation.

____________________________________

A bag contains 5 blue marbles, 6 red marbles, and 4 green marbles

So, total no of occurrence of all the event given under the situation

one can either pick blue , red or 4 green marbles

Total no. of occurrence of all the event = 5 + 6 + 4 = 15

Now , no of occurrence of selecting blue.

since there are 5 blue marbles, there is chance of selecting blue is 5.

no of occurrence of selecting blue = 5

Therefore,

P(blue) = no of occurrence of selecting blue /total no of occurrence of picking any color ball

P(blue) = 5/15 = 1/3  (Answer)

Answer:

Step-by-step explanation:

To find the area of the base of the box, we need to determine the length, breadth, and height of the box. We can set up a system of equations to represent the given information:

breadth = 2/3 * length

height = 1/3 * length

volume = length * breadth * height

Substituting the second equation into the third equation, we get:

volume = length * breadth * (1/3 * length)

      = length^2 * (2/3) * (1/3)

      = (2/9) * length^2

      = 48

      = 2^4 * 3

Solving for length, we find that length = 6. Plugging this value back into the first equation, we find that breadth = 4.

Therefore, the area of the base of the box is length * breadth = 6 * 4 = 24 square meters.

The scale factors are given as follows:

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Considering two equivalent side lengths, the scale factors are given as follows:

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The equation of a circle with the center at the origin and radius 10 can be determined by using the standard form of the equation of a circle, which is given by the equation x² + y² = r², where (x, y) are the coordinates of any point on the circle, and r is the radius of the circle. If the center of the circle is at the origin,

then the coordinates of the center are (0, 0), and the equation can be written as x² + y² = 10². This equation represents a circle with center at the origin and radius 10. This equation can be used to graph the circle by plotting the points that satisfy the equation.

The circle will be a perfect circle with a radius of 10 units and centered at the origin. It will pass through the points (-10, 0), (0, -10), (10, 0), and (0, 10). These points can be found by solving the equation for x and y. When x = -10, 0, and 10, y will be equal to 0, and when y = -10, 0, and 10, x will be equal to 0. This is how the circle can be graphed using the equation.

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Answer:

y = 2/3*x+2

Step-by-step explanation: let f be our function

The slope m :

Answer:

y = 2/3*x+2

Step-by-step explanation:

Because it is the "Correct Answer"

the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical

Disk/washer method:

\(V = π ∫[ln 8]^8 (e^x)^2 dx\\V = π ∫[ln 8]^8 e^2x dx\\V = π(e^2x/2)|[ln 8]^8\\V = π(e^16 - (e^2(ln 8))^8)/2\\V = (π(e^16 - 64)/2)\)

Cylindrical shells method:

\(V = 2π ∫[ln 8]^8 x(e^x) dx\\V = 2π ∫[ln 8]^8 xe^x dx\\V = 2π(x(e^x/2) - (e^x/2)ln x)|[ln 8]^8\\V = 2π((ln 8)(e^8 - 8) - (e^8/2)ln 8)\\V = (2π(e^8 - 64ln 8 - 4e^8))/2\\V = (π(e^16 - 64 - 8e^8))/2\)

The disk/washer method can be used to solve for the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the area of a ring, which can be formed by subtracting the area of a disk from the area of the washer. In this case, the area of the disk is π(e^2(ln 8))^8 and the area of the washer is π(e^16). The volume is then equal to the integral of the area of the ring, which is π(e^16 - (e^2(ln 8))^8).

The cylindrical shells method can also be used to find the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the  of a cylindrical shell, which can be formed by subtracting the area of the inner cylinder from the area of the outer cylinder. In this case, the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical

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Answer:

1) The problem asks for the number of boxes than can be made from the yarn.

2) There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) We need to divide the total length of yarn by the length used to produce a box.

4) 20 boxes.

5) Gina can make 20 boxes from 90 meters of yarn.

Step-by-step explanation:

1) What is asked?

R/ The problem asks for the number of boxes than can be made from the yarn.

2) What are the given facts?

R/ There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) What is the operation to be used?

R/ We need to divide the total length of yarn by the length used to produce a box.

\(x = \frac{90\,m}{\frac{9}{2}\,m }\)

\(x = 20\)

4) What is the number sentence?

R/ 20 boxes.

5) What is the complete answer?

R/ Gina can make 20 boxes from 90 meters of yarn.

Answer:

the correct answer would be 10.8

Answer:

ok the correct answer are $4.32, 69.12, and 10.80

Step-by-step explanation:

Answer:

choice C) 30 ft

Step-by-step explanation:

tan 41° = height/34

0.8693 = height/34

height = 29.56 or rounded to 30 ft

The products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 in the presence of a platinum catalyst are related as enantiomers.

Hence, the correct option is E.

Enantiomers are stereoisomers that are non-superimposable mirror images of each other. In this case, the (E)- and (Z)-isomers have different spatial arrangements around the C=C double bond. When they react with D2 in the presence of a platinum catalyst, the deuterium atoms add to the double bond, resulting in two new chiral centers.

Since the two isomers have different spatial arrangements around the double bond, the addition of deuterium atoms will produce enantiomeric products. Therefore, the products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 are related as enantiomers.

Hence, the correct option is E.

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Translations are transformations that change the position of the graph of a function. The general shape of the graph of a function is moved up, down, to the right or to the left. The translations are considered rigid transformations.

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

To graph y = f (x) -k, move the graph of k units down.

We have then:

f (x) = 2 ^ x

g (x) = f (x) + k

if k = 2

then,

the graph of g (x) is shifted vertically 2 units up

Answer:

the graph of g (x) is shifted vertically 2 units up

\((x,y) \to (-x, -y-4)\)

For the given transformation the fourth option is correct.

Use the concept of coordinates defined as:

A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.

In the given figure ABCD

Th coordinate of point A is (-5, 6)

Th coordinate of point B is (-1, 6)

Th coordinate of point C is (1, -1)

Th coordinate of point D is (-8, -1)

And in the given figure A'B'C'D',

Th coordinate of point A' is (5, -10)

Th coordinate of point B' is (2, -10)

Th coordinate of point C is (-1, -3)

Th coordinate of point D is (8, -3)

Now we can see that,

Point A  (-5, 6) is transformed into A' is (5, -10)

And the point A' is (5, -10) can be written as (-(-5), -6-4)

And this transformation holds for each vertex.

So for general illustration, we can say that the point (x,y) transformed to

(-x, -y-4).

Hence,

For such transformation the fourth option is correct.

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To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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The perimeter of the rectangle is 16m

It is important that a rectangle has four sides, it also has four angles.

The formula for calculating the perimeter of a rectangle is expressed as;

Perimeter = 2(l + w)

Such that the parameters of the formula are;

From the information given, we have that;

Substitute the values

Perimeter, P = 2(4 + 4)

add the values

Perimeter = 2(8)

Expand the bracket

Perimeter = 16m

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The radius of the reversed curve is approximately 50.72m.

Given data: Two parallel tangents 12m apart are connected by a reversed curve. The chord length from the PC to the PT is 100m long. If the reversed curve has equal radii.

To determine the equal radius of the reversed curve we will use the following formula

R = [(L/2)²+ (C/2)²]/2(C/2)

Where R = radius of the reversed curve

L = length of curve

C = chord length

For this problem, we have C = 100mL = 12m

Now, substituting these values into the formula, we get

R = [(L/2)²+ (C/2)²]/2(C/2)

R = [(12/2)² + (100/2)²]/2(100/2)

R = [6² + 50²]/50R = (36 + 2500)/50

R = 2536/50R = 50.72m

Hence, the radius of the reversed curve is approximately 50.72m.

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Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

Given the sequence:

You need to remember that:

- In a Geometric Sequence, each term is found by multiplying the previous term by a constant called "Common ratio".

- In an Arithmetic Sequence, the difference between a term and its previous term is constant.

In this case, you can check if it is a Geometric Sequence by dividing the terms by the corresponding previous term:

It is not a Geometric Sequence, because it does not have a Common Ratio.

To check it if is an Arithmetic Sequence, find the difference between the terms:

As you can see, it is not an Arithmetic Sequence, because the difference between the terms is not constant.

Then, the sequence is neither geometric nor arithmetic.

Knowing this, you need to find a Recursive Formula for the sequence. You can identify that:

However, as you can notice, there is not a defined pattern between the terms shown in the exercise. Therefore, it cannot be solved.

Therefore, you can determine that the answer is: It is a Recursive Pattern. It cannot be solved.

The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.

Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.

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9514 1404 393

Answer:

  (c)  see below

Step-by-step explanation:

The mnemonic SOH CAH TOA can remind you how to do this. It tells you ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

Here, the hypotenuse XY is 12, so we expect to see answers with 12 in the denominator. Only choice C matches that.

We can confirm that choice by looking at the opposite side (YZ) to get ...

  sin(X) = YZ/YX = √119/12

The cosine uses the adjacent side:

  cos(X) = XZ/XY = 5/12

Answer:

\( \huge \boxed{Q( - 7) = 293}\)

Step-by-step explanation:

\(Q(x) = {6x}^{2} - 1\)

To find Q(-7) , insert the value of x that's - 7 into Q(x). That is for every x in Q(x) , replace it with - 7

We have

\(Q( - 7) = 6 ({ - 7})^{2} - 1 \\ = 6(49) - 1 \\ = 294 - 1\)

We have the final answer as

\(Q( - 7) = 293\)

Hope this helps you