Triangle ABC has points A(4,2) B(4,4) & C (0,4). If triangle ABC is dilated by a scale factor of 3 from the point (-1, 2) to create triangle A’B’C, what will be the coordinates of A’ ?

Answer: True

Step-by-step explanation: because bias can lead to personal errors

The probability of rolling a sum of 6 exactly 6 times out of 10 rolls is approximately 0.0599, or about 6%.

The probability of rolling a sum of 6 on a pair of standard dice is 5/36, because there are 5 possible ways to roll a sum of 6 (1+5, 2+4, 3+3, 4+2, and 5+1) out of a total of 36 possible outcomes.

To calculate the probability of rolling a sum of 6 exactly 6 times out of 10 rolls, we can use the binomial distribution formula:

P(X = k) = (n choose k) × p^k × (1 - p)^(n - k)

where P(X = k) is the probability of getting k successes (in this case, rolling a sum of 6) out of n trials (in this case, 10 rolls), p is the probability of success on a single trial (in this case, 5/36), and (n choose k) is the number of ways to choose k successes out of n trials.

Plugging in the values for this problem, we get:

P(X = 6) = (10 choose 6) × (5/36)⁶ × (31/36)⁴

= (210) × (5/36)⁶ × (31/36)⁴

= 0.0599 (rounded to four decimal places)

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Correct question:

The experimental probability that Cindy will catch a fly ball is equal to 3/7. About what percent of the time will Cindy catch a fly ball?

Answer:

42.9%

Step-by-step explanation:

Given that:

Experimental probability of catching a fly is 3/7

This can be interpreted as : Out of 7 tries, Cindy caught a fly only 3 times

Expressing this as a percentage :

3/7 * 100%

0.4285714 * 100%

42.857%

= 42.9%

Hence, Cindy will catch a fly at about 42.9% of the time

Answer:

C) Intersecting

Step-by-step explanation:

happy to help ya:)

Answer:

Is thier an answer that you can put as Perpindicular because that should be the right answer

Step-by-step explanation:

Perpendicular lines are two lines that intersect and form right angles

Answer:

(x + 2)² + (y + 8)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 2, - 8 ) and r = diameter ÷ 2 = 8 ÷ 2 = 4 , then

(x - (- 2) )² + (y - (- 8) )² = 4² , that is

(x + 2)² + (y + 8)² = 16

Answer:

See explanation

Step-by-step explanation:

Here is the complete question:

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50 . Let S represent the number of stacks of pancakes that Benjamin buys. What is the largest number of pancakes that Benjamin can afford?

Given:

Cost of chocolate milk = $3.25

Maximum bill that Benjamin wants before tax = $30

Cost of stack of 4 pancakes = $5.50

Let S be the number of stacks of pancakes that Benjamin buys

Solution:

Cost per stack of pancakes = $5.50  

Cost of S number of stacks of pancakes = S*5.50  = 5.50 S

So benjamin will spend money on 1 chocolate milk and S number of stacks of pancakes

Compute the total money spent by Benjamin:

Cost of chocolate milk + cost per stack of pancakes = 3.25 + 5.50 S

Maximum bill that Benjamin wants is $30 So,

The total money should be less than equal to the maximum bill that benjamin wants i.e. less than or equal to 30. So it is represented as:

3.25 + 5.50S ≤ 30  ----- (1)

Now using (1) we can find the largest number of pancakes that  Benjamin can afford :

3.25 + 5.50S ≤ 30

5.50S ≤ 30 - 3.25    

subtract 3.25 from 30

5.50S ≤ 26.75

Divide by 5.50

S ≤ 4.863636

S ≤ 4.86

S≤ 4 approx

Since the restaurant only sells pancakes in stacks of 4 pancakes so,

4 stacks = 4 *4 =  16

So the largest number of pancakes that Benjamin can afford are 16.

If we do not round off the the value stacks then we get:

4.86 stacks = 4.86 *4 =  19.44 pancakes

So the largest number of pancakes that Benjamin can afford are 19

The statements 'all squares are similar' and 'all equilateral triangles are similar' is true among the given statements.

Similar shapes refer to shapes with the same angles but sides of varying magnification. We can also say the ratio in dimensions of corresponding sides is in proportion.

In the case of isosceles triangles, the angles of each triangle can be unique and to say the sizes are in proportion to each other might not be true for every case. Thus, we can't say that all isosceles triangles are similar to each other.

In the case of rectangles, though the angles of each rectangle are equal and are 90°, to say the sizes are in proportion to each other might not be true for every case as the length and breadth may vary without any proper ratio. Thus, we can't say that all rectangles are similar to each other.

In the case of squares, the angles of each side of the square are equal and are 90°, and since all sides are equal to each other, the sides are also in proportion. Thus, we can say that all squares are similar to each other.

In the case of equilateral triangles, the angles of each side of an equilateral are equal and are 60°, and since all sides are equal to each other, the sides are also in proportion. Thus, we can say that all equilateral triangles are similar to each other.

In the case of right triangles, only one of the angles of each triangle is equal and is 90°, to say the sizes are in proportion to each other might not be true for every case as each side may vary without any proper ratio. Thus, we can't say that all right triangles are similar to each other.

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Answer:

hi

Step-by-step explanation:

Answer:

V = 565.5

Step-by-step explanation:

Cylinder Formulas in terms of r and h

Answer:

  B) 0.003

Step-by-step explanation:

1 meter per 1000 years is 1 mm per year, so 1/365 mm per day.

  1/365 mm/day ≈ 0.00274 mm/day ≈ 0.003 mm/day

Answer:

B) 0.003

Step-by-step explanation:

The critical value for an F-test at α = 2.5% significance with one independent variable and 27 observations is approximately 5.7033. It represents the threshold beyond which we reject the null hypothesis in favor of the alternative hypothesis.

To determine the critical value for an F-test at α = 2.5% significance, we need to know the degrees of freedom associated with the numerator and denominator of the F-statistic.

For an F-test, the numerator degrees of freedom (df1) correspond to the number of groups or treatment conditions minus 1. In this case, since there is only one independent variable, the number of groups is 2 (assuming a standard F-test), so df1 = 2 - 1 = 1.

The denominator degrees of freedom (df2) correspond to the total number of observations minus the number of groups. In this case, we have n = 27 observations and 2 groups, so df2 = 27 - 2 = 25.

Now we can use these degrees of freedom values and the significance level (α) to find the critical value using an F-table or calculator.

Using statistical software or an online calculator, the critical value for an F-test with df1 = 1 and df2 = 25 at α = 2.5% significance is approximately 5.7033 (rounded to four decimal places).

Therefore, the critical value for the F-test at α = 2.5% significance is 5.7033.

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Answer:

no se ve

Step-by-step explanation:

General Douglas MacArthur's strategy in response to North Korea's actions during the Korean War was to launch a surprise amphibious invasion at Inchon, which was a risky move as the tide had to be just right for it to be successful.

However, it proved to be a brilliant tactical move that caught the North Koreans off guard and allowed the UN forces to push them back towards the 38th parallel. MacArthur also advocated for expanding the war into China, which ultimately led to his removal from command by President Truman.

The outcome of MacArthur's strategy was a significant shift in the momentum of the war, with UN forces pushing back the North Korean army. However, it also led to increased tension between the US and China, which would continue to be a source of conflict for years to come.

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The 80th percentile is 125.37.

It is required to find the solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The weights (in pounds) of seven people:

100, 115, 135, 140, 180, 197, 230.

We have to find the 80th percentile first we have to find the mean of seven people.

Mean=100+ 115+135+140+ 180+197+ 230/7

Mean=156.71

100 percent=156.71

80  percent=156.71*80/100

80  percent=125.37.

Therefore, the 80th percentile is 125.37.

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Given the parameter values n, δ, A₀, and k₀, the endogenous technological progress A(t) can be calculated using a recursive formula. The value of physical capital k(t) can also be determined using a separate recursive formula. The specific values depend on additional parameters not provided.

To compute the value of the endogenous technological progress A(t) at time t, we can use the following recursive formula:

A(t+1) = (1 - δ) * A(t) + n * k(t)^θ

where:

- A(t) represents the value of technological progress at time t.

- δ is the depreciation rate, which is 0.1 in this case.

- n is the exogenous growth rate of technological progress, which is 0.01 in this case.

- k(t) is the value of physical capital at time t.

- θ is the elasticity of output with respect to capital, which is not provided in the given information.

To compute k(t), we can use the following formula:

k(t+1) = (1 - δ) * k(t) + i(t)

where:

- k(t) represents the value of physical capital at time t.

- δ is the depreciation rate, which is 0.1 in this case.

- i(t) is the investment at time t.

Since the investment i(t) is not given in the provided information, we cannot determine the exact values of A(t) and k(t) for each time period. However, we can use the given initial values to compute their values for the initial time period (t = 0).

Using the provided initial values:

A(0) = 5

k(0) = 10

We can substitute these values into the recursive formulas to compute A(1) and k(1):

A(1) = (1 - 0.1) * 5 + 0.01 * 10^θ

k(1) = (1 - 0.1) * 10 + i(0)

The values of A(1) and k(1) can then be used to compute A(2) and k(2), and so on, by iteratively applying the recursive formulas. The specific values of A(t) and k(t) for each time period would depend on the values of θ and the investment i(t), which are not provided.

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With deceleration of 6 ft/s² and initial speed of 66 ft/s, the airplane will stop after travelling 363 ft.

Use the equation of motion:

v² = u² + 2 · a · s

Where:

v = final velocity

a = acceleration

u = initial velocity

s = distance

Deceleration is a negative acceleration.

Parameters given from the problem:

u = 66 ft/s

a = - 6 ft/s²

v = 0  since the airplane stops.

Plug these parameters into the formula:

v² = u² + 2 · a · s

0 = 66² + 2 · (-6)· s

s = 66² / 12

s = 363 ft.

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Explanation

Step 1

mathematically, power is defined as the work done per unit of time

and , the work is defined by:

then, replace W=force*distance in the first equation

Step 2

replace,with the data

The slope of the line on the graph is equal to 4/3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 - 0)/(6 - 3)

Slope (m) = 4/3

Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to 4/3.

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Step-by-step explanation:

42=2b-14 where b=price of the blouse

42+14=2b

56=2b

b=56/2

b=$28 is the price of the blouse

Answer: 42-14=28$

Step-by-step explanation:

Using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, they require at least 100 sushi pieces.

24 pieces of sushi had previously been ordered and paid for by Sofia.

Roll sushi is available.

Each roll = 12 pieces at $8

R = additional rolls that Sofia orders

Additional sushi = Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

A roll contains 12 pieces.

76/12 = 6.33

Rolls must be ordered by Sofia.

She will therefore place 7 additional sushi rolls, each with 12 pieces.

12*7=84 pieces

Remember that they need at least 100 pieces, so there may be more than 100 in total.

84 pieces plus the 24 pieces Sofia has previously ordered.

The total number of pieces will be 108.

Therefore, using mathematical operations, we know that Sofia will spend $56 and order 7 additional rolls of sushi (84 pieces).

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Complete question:
Sofia ordered sushi for a company meeting. They change plans and increase how many of people

will be at the meeting, so they need at least 100 pieces of sushi in total.

Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi.

The sushi comes in rolls, and each roll contains 12 pieces and costs $8. How many more sushi Sofia will order and of what amount?

Answer:

Distance = 5 units

Slope = \(\displaystyle\frac{4}{3}\)

Step-by-step explanation:

Hi there!

1) Finding the distance of the line

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) where two endpoints of a line are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the points (-7,2) and (-4,6):

\(d=\sqrt{(-4-(-7))^2+(6-2)^2}\\d=\sqrt{(-4+7)^2+(6-2)^2}\\d=\sqrt{(3)^2+(4)^2}\\d=\sqrt{9+16}\\d=\sqrt{25}\\d=5\)

Therefore, the length of the line/distance of the line is 5 units.

2) Finding the slope of the line

\(m=\displaystyle\frac{y_2-y_1}{x_2-x_1}\) where two points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the points (-7,2) and (-4,6):

\(m=\displaystyle\frac{6-2}{-4-(-7)}\\\\m=\displaystyle\frac{6-2}{-4+7}\\\\m=\displaystyle\frac{4}{3}\)

Therefore, the slope of the line is \(\displaystyle\frac{4}{3}\).

I hope this helps!

Answer:

B - ∠b and ∠f

Step-by-step explanation:

Corresponding angles are the angles in matching corners of the intersections in the traversal. Since ∠b and ∠f are in the same position relative to the intersection, they are corresponding.

f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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Answer:

x=6

y=18

Step-by-step explanation:

I just took the assignment in edg ;)

Answer:

The product of the two numbers is 832

Step-by-step explanation:

x+y= 58

x-y=6

2x = 64

x = 32

y = 26

32*26=832

To program MATLAB to solve the given hyperbolic equation using the explicit method, taking Ax = 0.1 and At = 0.2, the following steps can be taken:

Step 1:

Define the given hyperbolic equation in terms of x and t and the partial derivatives.

For the given equation, it is given that a^2u_xx - u_tt = 0.

Therefore, the MATLAB code for the equation would be:

a = 1; x = 0:0.1:1; t = 0:0.2:5;

u = zeros(length(x), length(t)); %initial condition u(:, 1) = sin(pi.*x); %boundary conditions u(1, :) = 0; u(length(x), :) = 0; %loop for solving the equation for j = 1:length(t)-1 for i = 2:length(x)-1 u(i,j+1) = u(i,j) + a^2*(t(j+1)-t(j))/(x(2)-x(1))^2*(u(i+1,j)-2*u(i,j)+u(i-1,j)) + (t(j+1)-t(j))^2/(x(2)-x(1))^2*(u(i+1,j)-2*u(i,j)+u(i-1,j)); end end %plotting the solution surf(t, x, u') xlabel('t') ylabel('x') zlabel('u(x, t)')

The above code defines the given hyperbolic equation in terms of x and t and the partial derivatives and solves the equation using the explicit method by iterating over x and t using the loop.

Finally, the solution is plotted using the surf command in MATLAB. The output plot shows the solution u(x,t) as a function of x and t.

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Answer:

Hi! Your answer is 1295x^4y^3

Step-by-step explanation:

Simplify the expression.

Answer:

i got 15x^4y^3

Answer:

B. slope = Undefined, x = 3

Step-by-step explanation:

The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .

So the slope for this is undefined, since it's just a vertical line so, since the equation is x = k. If it's horizontal then it's 0.

the best fit for this is the first option slope = undefined, x = 3.

slope: Undefined

x-intercept: 3

Answer:

Its undefined

Step-by-step explanation:

Vertical is undefined

Horizontal is Zero

The rate at which Riya is applying the mulch to the garden is 250000:1.

It should be noted that rate is simply used to show the relationship between two things. A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio expresses the corresponding rate of change in the dependent variable if the denominator of the ratio is written as a single unit of one of these quantities and it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

Per unit of time is a frequent sort of rate, and examples include speed, heart rate, and flux. Exchange rates, literacy rates, and electric field ratios are examples of ratios with a non-time denominator (in volts per meter).

From the information, Riya is applying mulch to the garden and she applied at a rate of 250000cm³ for every m² of space.

Therefore, the rate at which Riya is applying the mulch to the garden is 250000:1.

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