Point A (2, -3) is translating five units to the left and 4 units up. What is thenew point? *

(-3, 1)
(-5, 4)
(7, 1)
(-3,-7)

Answer: $2400

Step-by-step explanation:

$2225.50 x 1.2% =  $26.71 + $2225.50 =  $2252.21  - Year 1

$2252.21 x 1.2% = $27.03 + $2252.21 =  $2279.23  - Year 2

$2279.23 x 1.2% = $27.35 + $2279.23 =  $2306.58  - Year 3

$2306.58 x 1.2% = $27.68 + $2334.26 =  $2334.26  - Year 4

$2334.26 x 1.2% = $28.01 + $2362.27 =   $2362.27  - Year 5

$2362.27 x 1.2% = $28.35 + $2362.27 =  $2390.62  - Year 6

$2390.62 x 1.2% = $28.69 + $2390.62 =  $2419.31  - Year 7

$2419.31         x 1.2% = $29.03 + $2419.31 =  $2448.34  - Year 8

Rounded to the nearest 100th = $2400

Triangulation is the method of finding the location of an object based on the measurements made from the two other locations. The above statement is true statement.

Triangulation is the division of a face or plane polygon into a series of triangles, usually with the limitation that each side of a triangle is fully shared by two adjacent triangles. In geometry, triangulation is the division of planar objects into triangles, or more broadly, the division of high-dimensional geometric objects into simplifications. Triangulation of a 3D volume involves subdivision into packed tetrahedra that directly measure distances to points. It is a method for finding the location of the object.

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Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

The average time it takes to rent a video tape is 0.141 minutes.

Given data:Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).
Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, we need to determine the average time it takes to rent a video tape.
Let us assume λ = 12 and μ = 3 × 8.15 = 24.45
Average time it takes to rent a video tape = 1 / (μ - λ/n)
Where, n = number of servers⇒ Average time it takes to rent a video tape = 1 / (24.45 - 12/3)⇒ Average time it takes to rent a video tape = 1 / 8.45⇒ Average time it takes to rent a video tape = 0.1185 minutes = 0.141 rounded to three decimal places.

Thus, the average time it takes to rent a video tape is 0.141 minutes.

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Answer:

-3x125 idc bout brainliest

Step-by-step explanation:

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:

0.135

Step-by-step explanation:

Move the decimal 2 places left not 3 2to find any percentage in decimal form

Answer: 0.135

Step-by-step explanation:

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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As per the given curvature, the value of PC is 1785.68 and PT is 1787.55

Curvature:

In statistics, curvature means amount by which a curve deviates from being a straight line, or a surface deviates from being a plane.

Given,

PI is at station (20 00), the radius of curvature is 800 feet, and the angle of curvature is 30 degrees.

Here we need to determine the value of PC and PT.

According to the given value, the tangent distance is calculated as,

=> T = 800 x tan (30/2)

=> T = 800 x 0.2679

=> T = 214.32

Now, the value of PC is calculated as,

PC = PI - T

=> PC = 2000 - 214.32

=> PC = 1785.68

And the value of PT is calculated as,

PT =  PC + L

=> PT = 1785.68 + (100 x (30/1600))

=> PT = 1785.68 + 1.875

=> PT = 1787.55

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The probability that the second card is a spade given the first one is a spade is 12/51.

To find the probability that the second card drawn is a spade given that the first one is a spade, we need to use conditional probability.

Let's first find the probability of drawing a spade on the first draw. Since there are 13 spades in a standard deck of 52 cards, the probability of drawing a spade on the first draw is 13/52 or 1/4.

Now, since we are drawing without replacement, there are only 51 cards left in the deck for the second draw and only 12 spades left. So, the probability of drawing a spade on the second draw given that the first one was a spade is 12/51.

Therefore, the probability that the second card is a spade given that the first one is a spade is 12/51 or approximately 0.235.

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The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year

From the question, we have the following parameters that can be used in our computation:

s(t) = 0.12t² − t + 5.7

In 2000, we have the value of t to be

t = 2000 - 1990

Evaluate

t = 10

So, we have

s(10) = 0.12 * 10² − 10 + 5.7

Evaluate

s(10) = 7.7

Hence, the rate in 2000 is 7.7 billion dollars per year

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Question

the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year

Calculate the rate of change in 2000

Answer: it’s 8 to 14 number c

Step-by-step explanation:

Let me know if I’m wrong

The ratio equivalent to 20 to 35 is 8 to 14.

Option C is the correct answer.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

20 to 35

This can be written as,

= 20/35

= 5 x 4 / 5 x 7

= 4/7

Now,

5 to 7 = 5/7

7 to 5 = 7/5

8 to 14 = 8/14 = 4/7

14 to 8 = 14/8 = 7/4

Thus,

20 to 35 is the same as 8 to 14.

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The solution of the system of equation are (1,8) and (0, 6)

-2x² + y = 6

4x² + 3y = 28

Therefore,

-4x² + 2y = 12

4x² + 3y = 28

5y = 40

y = 40 / 5

y = 8

Therefore,

-2x² + 8 = 6

-2x² = -2

x² = 1

x = 1

2(0)² + y = 6

y = 6

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Answer:

D. (-1, 8) and (1,8)

Step-by-step explanation:

I took the math exam

Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

To say that two variables are negatively correlatted means that when one variable increases, the other variable decreases.

Negative correlation refers to a relationship between two variables where they tend to move in opposite directions. When one variable increases, the other variable tends to decrease, and vice versa. This negative relationship indicates an inverse association between the two variables.

Option A, "When one variable increases, the other decreases," accurately describes negative correlation. As one variable increases, the other variable decreases, reflecting the negative relationship between them.

Negative correlation does not imply that both variables change at the same rate (Option D). In negative correlation, the relationship is characterized by the opposite direction of change, not necessarily the same magnitude or rate of change.

Option B, "When variable increases, the other also," suggests a positive correlation, where both variables move in the same direction. This is not the case in negative correlation.

Option C, "When one variable decreases, the other also decreases," is a misinterpretation of negative correlation. In negative correlation, when one variable decreases, the other variable tends to increase, not decrease.

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Answer:

71%

Step-by-step explanation:

The original price is 200. The dress was sold for 142.

Take the price of the dress divide the original price (142/200) then times 100.

Answer:

27% off

Step-by-step explanation:

Answer:

36 bulbs

Step-by-step explanation:

$8/4 = $2 each

72.50/2 = 36.25

Answer:

36 bulbs with $0.25 left over.

Step-by-step explanation:

4 bulbs for $8

8/4 = 2

1 bulb per $2

72.50/2 = 36.25

The translation moves 5 units to the left and 2 units down, so we have:

c = -5

d = -2

To identify the translation, let's follow a single vertex of the triangle.

The top vertex of triangle A is at (2, -3)

After a reflection about the x-axis only the y-value changes, so after the reflection the coordinates of that vertex will be:

(2, 3).

In now we apply the given translation, the new coordinates will be:

(2 + c, 3+ d)

And the coordinates of this vertex on triangle B is (-3, 1), so we have:

(2 + c, 3+ d) = (-3, 1)

2 + c = -3

c = -3 - 2 = -5

3 + d = 1

d = 1 - 3

d = -2

So the translation is defined by the values:

c = -5

d = -2

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The interval for the given situation is  (0, 4).

Given that, height = 400 ft, initial velocity of 64 ft/s and the equation s(t) = -16t² + 64t + 400.

Initial velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts. They are four initial velocity formulas: (1) If time, acceleration and final velocity are provided, the initial velocity is articulated as. u = v – at.

To find the interval in which the ball is higher than the building, solve the inequality h(t) > 400. The inequality is easily solved by subtracting 400 so the comparison is to zero, factoring the expression involving t, and identifying the time interval in which the signs of the factors are the same.

-16t² +64t +400 > 400

⇒ -16t² +64t > 0

⇒ -16t (t -4) > 0

⇒ t=0 and t-4=0

Both factors will have negative signs on the interval (0, 4).

Therefore, the interval for the given situation is  (0, 4).

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In a multiple regression framework, the R-squared (R^2) increases whenever a regressor is added unless the coefficient on the added regressor is exactly zero.

If the added regressor has a non-zero coefficient, even if it is small, it will contribute to explaining additional variance in the dependent variable and increase the overall fit of the regression model.

However, it is important to note that the R-squared value does not directly indicate the significance or meaningfulness of the added regressor. It only measures the proportion of variance in the dependent variable that is explained by the entire set of regressors in the model. Therefore, an increase in R-squared does not necessarily imply that the added regressor is statistically significant or has a substantial impact on the dependent variable.

The other answer choices provided, "greater than 1.96 in absolute value" and "added unless there is heteroskedasticity," do not accurately describe the conditions for R-squared to increase when a regressor is added in a multiple regression framework.

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Answer:

it is a right triangle

Step-by-step explanation:

i have no explanation my sister told me with no explanation sorry

Answer:

Yes, the three segments 16,30,34 make a right triangle.

Step-by-step explanation:

The three segments are the following 16,30, and 34.

We will use the Pythagorean Theorem to find out if the three numbers can make a right triangle.

- \(a^2+b^2=c^2\)

When we have 3 numbers given, our largest number is the hypotenuse.

So 34 is our hypotenuse, so we substitute it as the c in our formula.

And our a^2 and b^2 are 16 and 30!

- \(16^2+30^2=34^2\\256+900=1156\\1156=1156\)

Our formula verifies that the three segments provided can make a right triangle.

Answer: k=x^3-2x^2+2x-4/x

Step-by-step explanation: hope this helps!

The greatest common divisor (GCD) of 735 and 504 is 21. Using the Euclidean algorithm, we find that the GCD can be expressed as 735x + 504y, where x = 11 and y = -5.

(a) To compute the GCD using the Euclidean algorithm, we start by dividing the larger number (735) by the smaller number (504):  \(735 = 504 * 1 + 231\)

Next, we divide the previous divisor (504) by the remainder (231):

\(504 = 231 * 2 + 42\)

We continue dividing the previous divisor by the remainder until we reach a remainder of 0:

\(231 = 42 * 5 + 21\\42 = 21 * 2 + 0\)

The last non-zero remainder is 21, which is the GCD of 735 and 504.

(b) To find integers x and y such that the GCD of 735 and 504 can be written in form 735x + 504y, we can use the extended Euclidean algorithm.

Starting with the last two equations from part (a):

\(21 = 231 - 42 * 5\\21 = 231 - (504 - 231 * 2) * 5\)

To simplifying, we have:

\(21 = 11 * 231 - 5 * 504\)

Therefore, we can write the GCD of 735 and 504 as:

\(21 = 11 * 735 - 5 * 504\)

So, x = 11 and y = -5 satisfy the equation 735x + 504y = 21, with x and y being integers.

In conclusion, the GCD of 735 and 504 is 21, and it can be expressed as 735x + 504y, where x = 11 and y = -5.

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Circular permutation refers to the ordering of elements in a circle, factorial refers to the product of all the natural numbers from an integer down to one, series refers to the indicated sum of the terms of an associated sequence, and permutation refers to the order of elements of a set. It is important to understand these terms in order to have a solid foundation in mathematics.

Circular permutation refers to an ordering of elements in a circle. Factorial, on the other hand, is the product of all the natural numbers from an integer down to one. It is denoted by the exclamation mark (!). Series, on the other hand, refers to the indicated sum of the terms of an associated sequence. Finally, permutation is an order of elements of a set.

To summarize, circular permutation refers to the ordering of elements in a circle, factorial refers to the product of all the natural numbers from an integer down to one, series refers to the indicated sum of the terms of an associated sequence, and permutation refers to the order of elements of a set. It is important to understand these terms in order to have a solid foundation in mathematics.

1. Circular permutation - an ordering of elements in a circle.
In a circular permutation, the arrangement of items is considered in a circular fashion rather than in a linear order. The number of circular permutations for 'n' elements can be calculated using the formula (n-1)!.

2. Factorial - the product of all the natural numbers from an integer down to one.
Factorial, denoted by the symbol '!', represents the product of all the positive integers from a given integer down to one. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.

3. Series - the indicated sum of the terms of an associated sequence.
A series is the sum of the terms in a given sequence, often represented by the summation symbol Σ. For example, the sum of the first 'n' natural numbers is represented as Σ(i=1 to n) i = n(n+1)/2.

4. Permutation - an order of elements of a set.
A permutation refers to the arrangement of elements in a specific order within a set. The number of possible permutations for a set of 'n' elements, taken 'r' at a time, can be calculated using the formula n!/(n-r)!.

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Answer:

10.2 inches by 4.125 inches

Step-by-step explanation:

PLS GIVE BRAINLIEST

The time it takes the ball to strike the ground after it is thrown, found using the kinematic equation, H = -16·t² - 24·t + 200 is approximately 2.86 seconds

A kinematic equation is an equation of the motion of an object moving with a constant acceleration.

The direction in which the ball is thrown = Downwards

Height of the building = 200 foot

Initial velocity of the ball = 24 ft./s

The kinematic equation that indicates the height of the ball after t seconds is, H = -16·t² - 24·t + 200

At ground level, H = 0, therefore;

H = 0 = -16·t² - 24·t + 200

-16·t² - 24·t + 200 = 0

-2·t² - 3·t + 25 = 0

t = (3 ± √((-3)² - 4 × (-2)×25))/(2×(-2))

t = (3 ± √(209))/(-4)

t =  (3 + √(209))/(-4) ≈ -4.36 and t =  (3 - √(209))/(-4)) ≈ 2.86

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The short sleeve shirts sold by haley were 405

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here: Haley's clothing store sold 540 shirts with ratio of short sleeve to long as 3:9

let 3x and 9x long and short sleeves were sold respectively

Then we have

3x+9x=540

12x=540

x=540/12

x=45

Thus 3x=135 and 9x=405

Hence, The short sleeve shirts sold by haley were 405

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The surface integral of F across S, denoted as ∬S F · dS, is equal to 8/3.

To evaluate the surface integral, we first need to compute the outward unit normal vector to the surface S. The surface S is defined by the parametric equations:

x = u + v

y = u - v

z = 1 + 2u + v

We can find the tangent vectors to the surface by taking the partial derivatives with respect to u and v:

r_u = (1, 1, 2)

r_v = (1, -1, 1)

Taking the cross product of these vectors, we obtain the outward unit normal vector:

n = r_u x r_v = (3, 1, -2) / √14

Now, we evaluate F · dS by substituting the parametric equations into F and taking the dot product with the normal vector:

F = ze * Yi - 3ze * Yj + xyk

F · n = (1 + 2u + v)e * 0 + (-3)(1 + 2u + v)e * (1/√14) + (u + v)(u - v)(1/√14)

= (-3)(1 + 2u + v)/√14

To calculate the surface integral, we integrate F · n over the parameter domain of S:

∬S F · dS = ∫∫(S) F · n dS

= ∫[0,1]∫[0,1] (-3)(1 + 2u + v)/√14 du dv

= (-3/√14) ∫[0,1]∫[0,1] (1 + 2u + v) du dv

= (-3/√14) ∫[0,1] [(u + u² + uv)]|[0,1] dv

= (-3/√14) ∫[0,1] (2 + v) dv

= (-3/√14) [2v + (v²/2)]|[0,1]

= (-3/√14) [2 + (1/2)]

= 8/3

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When calculating a multiplicative seasonal index, the trend and seasonal factor are related using the multiplication operator.

The multiplicative seasonal index is a statistical technique used to decompose time series data into seasonal and trend components. When calculating the multiplicative seasonal index, the trend and seasonal factor are related using the multiplication operator.

The multiplication operator is used to combine the trend and seasonal components in the formula for the multiplicative seasonal index. This is because the trend and seasonal factors are not additive, but instead interact multiplicatively to produce the overall pattern observed in the time series data.

The formula for calculating the multiplicative seasonal index involves dividing the actual value by the trend estimate to remove the trend component, and then multiplying by the inverse of the average of seasonal indices for that period to isolate the seasonal component. By using the multiplication operator, we can account for both the trend and seasonal components in the time series data and accurately predict future values.

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The mason's assistant's pay for the job is $165.

To find the mason's assistant's pay for the job, we need to multiply the rate of pay per cubic foot by the number of cubic feet moved.

Rate of pay per cubic foot = $0.75
Number of cubic feet moved = 220

Pay for the job = $0.75 x 220 = $165

Therefore, the mason's assistant's pay for the job is $165.
The mason's assistant will earn $165 for this job.


To calculate the pay for the mason's assistant, follow these steps:

1. Determine the rate of pay per cubic foot: $0.75
2. Determine the total amount of cubic feet moved: 220 cubic feet
3. Multiply the rate of pay by the total cubic feet moved: $0.75 x 220

By multiplying the rate of pay ($0.75) by the total cubic feet moved (220), you get the total pay for the job:

$0.75 x 220 = $165


The mason's assistant will be paid $165 for moving 220 cubic feet of earth to dig the trench.

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