Can you quickly help me with this? Thank you ✨

3x-3 Perimeter= 16x + 6 equals 3x - 2.5 = W The following is an equation for calculating the perimeter of a rectangle: perimeter = length plus length plus width plus width P = l + l + w + w.

Therefore,

3x-3 Perimeter= 16x + 6

perimeter = 2L + 2W

16x - 6 = 2(3x-3) + 2W

16x - 6 = 5x + 6 + 2W

6x - 5 = 2W

3x - 2.5 = W

3x-3 Perimeter= 16x + 6 is 3x - 2.5 = W.

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A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer: Number 2

Step-by-step explanation:

Substitute (-2, 1) into (x, y) into each equation and see if it works.

Considering that it has a higher coefficient of variation, the distribution of cell phone bills at Smithtown South High School is more spread out.

The coefficient of variation for a distribution is given by the standard deviation of the distribution divided by the mean of the distribution. The higher the coefficient, the more spread out the distribution is.

For the distributions in this problem, the coefficients are given as follows:

Due to the higher coefficient of variation, the distribution of cell phone bills at Smithtown South High School is more spread out.

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Answer:

(-3,1)

Step-by-step explanation:

9x+8y=-19

7x+9y=-12

I'll assume the question is to find the solution to these equations.  The solution will be the point (x,y) where the two lines intersect.  The intersection is the one point that satisfies both equations (the smae value of (x,y) works in both.

We can either solve matematically of graph to find the intersection.  I'll do both, and hope the answers are identical.

Matematically

Rearrange either equation to isolate one of the variables (either x or y).  I'll take the second and isolate x:

7x+9y=-12

7x = -9y - 12

x = (-9y - 12)/7

Now use this definition of x in the other equation:

9x+8y=-19

9((-9y - 12)/7) + 8y = -19

(-81y - 108)/7 + 8y = -19

-81y - 108 + 56y = - 133

-25y = -25

y = 1

If y = 1, then:

9x+8y=-19

9x+8(1)=-19

9x = -27

x = -3

The solution is (-3,1)

Graphing

Graph both lines and look for the intersection.  The attached graph shows the lines cross at (-3,1).

The solution, bu both approachjes, is (-3,1)

Answer:

24

Step-by-step explanation:

8%=8/100

& 8/100 of 60=4.8  ( "of" in mathematic means "multiply")

check if you get 4.8 by multiplying each of the given options by  1/5

1/5 0f 24=4.8

So 24 will be the ans

Answer:

Here is your answer

((10 * 10) ^ 4) ^ 4 =

(100 ^ 4) ^ 4 =

100000000 ^ 4 = 100000000000000000000000000000000

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\mathsf{((10 * 10) ^ 4) ^ 4}\)

\(\mathsf{= (10 \times 10^4)^4}\)

\(\mathsf{= (10 \times 10 \times 10 \times 10 \times 10)^4}\)

\(\mathsf{= (10 \times 100 \times 100)^4}\)

\(\mathsf{= (10 \times 10,000)^4}\)

\(\mathsf{= (100,000)^4}\)

\(\mathsf{= 100,000^4}\)

\(\mathsf{= 100,000 \times 100,000 \times 100,000 \times 100,000}\)

\(\mathsf{= 10,000,000,000 \times 10,000,000,000}\)

\(\mathsf{= 100,000,000,000,000,000,000}\)

\(\huge\text{Therefore, your answer should be: }\)

\(\huge\boxed{\mathsf{100,000,000,000,000,000,000}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The two column proof is written as follows

Statement                                                           Reason

line AB intersect Line CD                                   given

< AED and < DEB are a linear pair          Definition of linear pair

< AED + < DEB = 180                                Linear pairs are supplementary.

< DEB and < BEC are a linear pair          Definition of linear pair

< DEB + < BEC = 180°                               Linear pairs are supplementary.

< AED + < DEB = < DEB + < BEC             Substitution property of equality

< AED  =  < BEC                                       Subtraction property of equality

< AED  ≅  < BEC                                      Definition of congruency

A linear pair is a situation where two adjacent angles are on a straight line, hence their sum is 180 degrees.

Linear pairs are special cases of supplementary angles involving only two angles that are adjacent

Vertical angles are formed when two lines intersect, in this case the angles opposite to each other are equal

In the problem, the congruent angles are

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Answer:

Step-by-step explanation:

Let's assume the initial number of men at the exhibition is 10x, and the initial number of women is 3x.

After 110 men left, the number of men remaining is 10x - 110.

The total number of people remaining is (10x - 110) + (3x) = 13x - 110.

According to the given information, the number of men remaining (10x - 110) is 5/12 of the total number of people remaining (13x - 110). We can write this as an equation:

10x - 110 = (5/12)(13x - 110)

To solve this equation, we can start by simplifying both sides:

10x - 110 = (65/12)x - (55/6)

To get rid of the fractions, we can multiply both sides of the equation by 12:

12(10x - 110) = 65x - 110(2)

120x - 1320 = 65x - 220

Next, we can bring the x terms to one side and the constant terms to the other side:

120x - 65x = 1320 - 220

55x = 1100

Dividing both sides by 55, we find:

x = 20

Now, we can substitute the value of x back into the initial expressions to find the number of men and women:

Number of men = 10x = 10(20) = 200

Number of women = 3x = 3(20) = 60

Therefore, there were 60 women at the exhibition

Hope this answer your question

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Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

Answer:

5.83 x 10^13.

Step-by-step explanation:

5.3x10^6 x 1.1x10^7

= 5.3 x 1.1 x 10^(6+7)

= 5.83 x 10^13.

Answer:

It is 40

Step-by-step explanation:

The highest common factor of 200 and 240 is 40

A speedup of 2 suggests that the program is efficiently utilizing the additional computational resources provided by the second computer, resulting in a significant reduction in computation time.

A speedup of 2 indicates that the program running on two computers in parallel is approximately twice as fast as running it on a single computer. In other words, the distributed computing techniques and parallel processing allow the mathematician to solve the systems of linear equations in half the time compared to running the program on a single computer.

Speedup is a measure of the improvement achieved by using parallel computing techniques. It quantifies the ratio of the time required to execute a task sequentially (on a single computer) to the time required to execute the same task in parallel (using multiple computers). A speedup of 2 suggests that the program is efficiently utilizing the additional computational resources provided by the second computer, resulting in a significant reduction in computation time.

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Answer: Square and rectangle

Step-by-step explanation:

The factorization of the expression 4x^2 + 4x + 1 is (2x + 1)(2x + 1), which corresponds to option (a).

To factorize the quadratic expression 4x^2 + 4x + 1, we need to determine two binomial factors that, when multiplied together, give the original expression.

One approach is to look for two binomials in the form (px + q)(rx + s), where p, q, r, and s are constants. In this case, we want the first and last terms of the expression to be the product of the outer and inner terms of the binomial factors.

By trial and error or using methods like factoring by grouping or the quadratic formula, we find that (2x + 1)(2x + 1) satisfies these conditions. When we multiply these binomials together, we obtain 4x^2 + 4x + 1, which matches the original expression.

Therefore, the factorization of 4x^2 + 4x + 1 is (2x + 1)(2x + 1), corresponding to option (a). The other options do not correctly represent the factorization of the given expression.

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A. I guess it's 11

Explanation -> (-16)t² + vt + s

(-16)(3²) + 150(3) + 5 = -144+150+5 = 11

B. 3.22 secs ..first write the equation, then find the x intercepts and select the positive x-int ( which is 3.22)

C. 44.063 ft (this is the y-value of the vertex). Enter the equation and select the y value of the vertex

Answer:

I'm not 100% bit I think it's 4- x/3

Answer:

What’s the percent Lol

Step-by-step explanation:

Angles ∠1 and ∠7 are alternate interior angles and angle ∠4 and ∠8 are adjacent angles.

Lines are straight with little depth or width. Perpendicular lines, intersecting lines, transversal lines, and other types of lines will be covered. An angle is a shape formed by two rays emerging from a common point. In this field, you may also come across alternate and equivalent angles.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

When a transversal connects two coplanar lines, alternate interior angles are generated. They are on the inside of the parallel lines, but on the outside of the transversal.

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There are 7!/3! ways for 8 people to sit around a circular table if Alice, Bob, and Eve do not want to sit next to each other.

Rotation is the process of rotating an object in two or three dimensions around an axis. This axis can be a point in space, a line, or a plane. Rotation can also refer to a continuous change of direction, such as the rotation of the Earth around its axis. Rotation can be described using terms such as clockwise, counterclockwise, and angular velocity. Rotation can also be described using mathematical equations, such as Euler's rotation theorem. Rotation can be used to create symmetry in design, or to create motion in an animation.

This is because we can pick any of the 7 people to be seated first, then any of the 6 people to be seated second, then any of the 5 people to be seated third, and so on. However, since Alice, Bob, and Eve do not want to sit next to each other, we must divide the 7! by 3! to account for the fact that the order in which Alice, Bob, and Eve are seated does not matter. The 3! accounts for the fact that we could arrange the three of them in 3! = 6 different orders. Therefore, the total number of ways for 8 people to sit around a circular table if Alice, Bob, and Eve do not want to sit next to each other is 7!/(3!) = 840 ways.

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To express (3x)2 in radical form, we start by understanding that raising a number to the power of 2 means multiplying the number by itself. In this case, we have (3x)2, which means we need to multiply 3x by itself.

Step 1: Multiply 3x by itself: (3x) * (3x) = 9x²

So, (3x)2 can be expressed in radical form as √(9x²).

The expression 29x10 cannot be expressed in radical form because there is no power or exponent involved. Radical form is used to represent expressions with roots or exponents.

To express W13 in radical form, we need to understand that the expression 7^(1/9) represents the ninth root of 7.

Step 1: Take the ninth root of 7: ∛7

So, W13 can be expressed in radical form as ∛7.

(3x)2 can be expressed in radical form as √(9x²).
29x10 cannot be expressed in radical form because there is no power or exponent involved.
W13 can be expressed in radical form as ∛7.
To express an expression in radical form, we need to understand the power or exponent involved and apply the appropriate radical operation.

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The instantaneous acceleration at any time t is given by 10t. The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point.

To use the limit definition of a derivative to calculate instantaneous acceleration, we need to find the derivative of the velocity function with respect to time. The derivative of velocity gives us acceleration.

The limit definition of a derivative is given by:

f'(x) = lim (h→0) [f(x+h) - f(x)] / h

To calculate instantaneous acceleration, we substitute the velocity function, v(t), into the limit definition. Let's say v(t) = 5t^2.

Using the limit definition, we have:

a(t) = lim (h→0) [v(t+h) - v(t)] / h

Substituting v(t) = 5t^2, we get:

a(t) = lim (h→0) [5(t+h)^2 - 5t^2] / h

Expanding and simplifying:

a(t) = lim (h→0) [10th + 5h^2] / h

Now, we can cancel out the h term:

a(t) = lim (h→0) 10t + 5h

Taking the limit as h approaches 0, we get:

a(t) = 10t

Therefore, the instantaneous acceleration at any time t is given by 10t.

The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point. By taking the limit as the change in input approaches zero, we are able to approximate the exact rate of change at that point. This concept is fundamental to calculus and is used in various applications such as physics, engineering, and economics.

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The surface area of the pool float rubber ducky will be 21,504 cm² and the volume will be 1,990,656 cm³.

We are given that the bath time rubber ducky and the pool float ducky are similar figures. When the dimensions of a figure are multiplied by a scale factor (in this case, 16), the surface area is multiplied by the square of the scale factor and the volume is multiplied by the cube of the scale factor.

Step 1: Calculate the surface area of the pool float ducky.
Surface Area of Pool Float Ducky = (Scale Factor)² × Surface Area of Bath Time Ducky
Surface Area of Pool Float Ducky = (16)² × 84 cm²
Surface Area of Pool Float Ducky = 256 × 84 cm²
Surface Area of Pool Float Ducky = 21,504 cm²

Step 2: Calculate the volume of the pool float ducky.
Volume of Pool Float Ducky = (Scale Factor)³ × Volume of Bath Time Ducky
Volume of Pool Float Ducky = (16)³ × 486 cm³
Volume of Pool Float Ducky = 4,096 × 486 cm³
Volume of Pool Float Ducky = 1,990,656 cm³

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The standard error is 0.105.

The standard error is an important statistical measure and it is related to the standard deviation. The accuracy of a sample that represents a population is known through this formula. The sample mean deviates from the population and that deviation is known as standard error formula. In statistics, the word sample refers to the specific group of data that is collected. For example, the sample may be the data we collected on the height of players on the school’s team. A population is an entire group from which we take the sample. There are many ways to define a population, and we always need to be very clear about what is the population. Many computations are required for this collection.

In order to determine how well the sample is representing the population, we need to go out and measure the standard error in the specific measurements. Standard Error is telling how well the sample mean estimates the true population means. A large standard error will indicate that there is a lot of variability in the population. A small standard error would mean that the population is in a uniform shape.

Sample space = n = 50

Mean = μ = 1.5

Variance = σ² = 0.56

∴ Standard deviation = σ = √0.56 = 0.748

Standard error =  σ/√n

= 0.748/√50

= 0.105

Thus, the standard error is 0.105.

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The area of the kitchen in square feet is 132\(ft^{2}\)

To find the area of the rectangular kitchen, we need to multiply the length by the width.

The length of the kitchen can be found by subtracting the x-coordinates of the two points on the same vertical side. So, the length is 8 - (-3) = 11 feet.

The width of the kitchen can be found by subtracting the y-coordinates of the two points on the same horizontal side. So, the width is 4 - (-8) = 12 feet.

Therefore, the area of the kitchen is:

Area = Length x Width = 11 ft x 12 ft = 132 square feet

So the answer is 132\(ft^{2}\).

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Answer:

-1.4

Step-by-step explanation:

rise over run y2-y1 (top) and x2-x1 (bottom)

using Universal Instantiation and the Contrapositive rule, we have shown that ∀x (¬R(x) → P(x)) is true.

To show that ∀x (¬R(x) → P(x)) is true using the given premises, we can use the rule of inference called Universal Instantiation and the logical law called Contrapositive.

1. Given: ∃x (¬P(x) ∧ ¬Q(x)) is false.
2. This means that for every x in the domain, ¬P(x) ∧ ¬Q(x) is true.

3. Given: ∀x ((¬P(x) ∧ Q(x)) → R(x)) is true.
4. This means that for every x in the domain, if ¬P(x) ∧ Q(x) is true, then R(x) is also true.

Now, we want to prove: ∀x (¬R(x) → P(x)) is true.

5. Suppose we have an arbitrary element a from the domain.
6. From (2), we know that ¬P(a) ∧ ¬Q(a) is true.
7. Since (¬P(a) ∧ Q(a)) → R(a) is true (from 4), it implies that if ¬P(a) ∧ Q(a) is true, then R(a) is also true.
8. If R(a) is true, then ¬R(a) is false.
9. Thus, from 8, we have ¬R(a) → P(a).
10. This holds for any arbitrary element a in the domain, so ∀x (¬R(x) → P(x)) is true.

Therefore, using Universal Instantiation and the Contrapositive rule, we have shown that ∀x (¬R(x) → P(x)) is true.

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Answer:

x = -8

Step-by-step explanation:

The triangle is isosceles so the two angles are equal

Equation :

65 = x + 73

Subtract 73 from both sides

-8 = x

Check:

65 = -8 + 73

65 = 65

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