Identify the scale factor if the length of a model train engine is 3 feet and the length of the engine itself is 24 feet

Answer:

not a function

Step-by-step explanation:

if x values repeat its not a function

The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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Answer:

\(\huge\boxed{\sf -3 (8x + 9)}\)

Step-by-step explanation:

= -3(3x + 2) - 3(5x + 7)

Distribute the term

= -9x - 6 - 15x - 21

Combine like terms

= -9x - 15x - 6 - 21

Add or subtract

= -24x - 27

Take -3 common

= -3 (8x + 9)

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

\(-24x-27\)

Step-by-step explanation:

\(\underline{\mathrm{Simplify\:using\:distribution:}}\)

\(-3(3x+2)-3(5x+7)\)

\(=-9x-6-3\left(5x+7\right)\)

\(=-9x-6-15x-21\)

\(=-9x-15x-6-21\)

\(=-9x-15x-27\)

\(=-24x-27\)

Answer:

Step-by-step explanation:

2

The correct answer is b.  The mass of a neutron is approximately 20,000 times the mass of an electron.

To determine which statement is true, let's compare the mass of a neutron (2 x \(10^{-24}\) grams) to the mass of an electron (9 x \(10^{-28}\) grams).

To find the ratio, we divide the mass of a neutron by the mass of an electron:

(2 x \(10^{-24}\) grams) / (9 x \(10^{-28}\) grams) = 2.22 x \(10^{4}\)

The ratio is approximately 2.22 x \(10^{4}\).

The mass of a neutron is approximately 20,000 times greater than the mass of an electron, making option b the correct statement. The ratio of their masses is approximately 2.22 x \(10^{4}\).

The correct option is:

b. The mass of a neutron is approximately 20,000 times the mass of an electron.

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a. <q'

Am I right

If its wrong I'm Really sorry

the general equation of the lines is

where m is the slope and b the y-intercept

• calculating the slope

where (x2,y2) is a right point from (x1,y1)

on this case (x2,y2) is (2,8) and (x1,y1) the other point

replacing

the slope is 3/2

• Calculating b

replace m and a point to solve b from the general equation. I will use the point (2,8)

• rewriting the equation

replace m and b on the general equation

Answer:

ok this triangle is an isosceles triangle because when you tell sit and look at the base sides that is 55° and be those are the base angles so if one is 55 the other one is also 55 So B is 55

Answer:

B=55°

Step-by-step explanation:

That is an isosceles triangle TS and US are the same size. So the 2 angles at the base (TU) will be the same. so b=55°

According to the given statement the inequality is 313131c + 191919m ≤ 706706.

To represent the condition based on the number of employees, we can write the following inequality:

313131c + 191919m ≤ 706706

- Let c denote the number of cars and m denote the number of motorcycles.

- Since it takes 313131 employees to build a car and 191919 employees to build a motorcycle, we multiply the number of cars (c) by 313131 and the number of motorcycles (m) by 191919.

- The total number of employees used should be at most 706706 (as stated in the question).

The inequality 313131c + 191919m ≤ 706706 represents the condition based on the number of employees for Genghis Motors to spend more than \$84000 to build cars and motorcycles, using at most 706706 employees.

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Answer:

15 months

Step-by-step explanation:

35x+20=545

Subtract 20 from both side to figure out how many months he paid for....

35x+20-20=545-20

35x=525

Divide 35 on both sides....

x=15

Therefore, he has been a member for 15 months

Check:

35(15)+20=545

525+20=545

545=545

IT'S CORRECT!!!

MARK ME BRAINLEST PLS THANKS :)

The equation of the line that passes through the point (6,8) and is perpendicular to a line is y = (-2/3)x + 12.

Given the equation, y= 3/2x + 5. Compare it with the general equation of the line,

y =  m₁   x + c₁

y= (3/2) x + 5

Therefore, the slope of the given line is m₁=(3/2).

Since it is needed to find the line that is perpendicular to y= 3/2x + 5, therefore, the slope of the two lines can be written as,

(Slope of line 1) × (Slope of line 2) = -1

m₁ × m₂ = -1

(3/2) × m₂ = -1

m₂ = -2/3

Now, the equation of the given line can be written as,

y = m₂x + c₂

y = (-2/3)x + c₂

Substitute the given coordinate in the above equation to get the value of y-intercept(c),

8 = (-2/3)6 + c₂

8 = -4 + c₂

c₂ = 8 + 4

c₂ = 12

Hence, the equation is y = (-2/3)x + 12.

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The complete question is:

What is an equation of the line that passes through the point (6, 8) and is perpendicular to a line with equation y=3/2x 5.

The mean absolute deviation (MAD) and mean absolute percent error (MAPE) are both measures used to assess the accuracy or variability of a dataset. However, they differ in terms of the type of data they analyze and the way they express the deviation.

Mean Absolute Deviation (MAD):

MAD measures the average absolute difference between each data point and the mean of the dataset.

It provides information about the dispersion or spread of the data.

MAD is calculated by taking the absolute value of the differences between each data point and the mean, summing these values, and then dividing by the total number of data points.

MAD is expressed in the same units as the original data.

Mean Absolute Percent Error (MAPE):

MAPE measures the average percentage difference between each data point and its corresponding value in a reference dataset (often a forecast or predicted value).

It provides information about the relative error or accuracy of a model or prediction.

MAPE is calculated by taking the absolute value of the percentage difference between each data point and its corresponding reference value, summing these values, and then dividing by the total number of data points.

MAPE is expressed as a percentage.

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Answer:

Step-by-step explanation:

hello : note 297 no 279

297 =3×99

99 = 3 ×33

33=3×11

this the geometric sequence. ( comon : 3)

the nth term is : An = A1 × r^n     when : r = 3 and A1 =11

if n = 19      A19 = 11×3^19

The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.

Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet

We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.

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Answer:

19.5416g

Step-by-step explanation:

5+7 =12

33.5/12 = 2.7916

2.7916 x 7 = 19.5416g

Step-by-step explanation:

Answer:

the exact form is 2/5. the decimal form is 0.4 ig

Step-by-step explanation:

Answer:

this is so a.s.s i need my account unbanned #freeitzel #freeitzelsotheracc #itzelneedssaving

Step-by-step explanation:

Note that a radical expression can be express in rational exponents :

From the problem, we have :

When simplifying exponents with parenthesis, the exponents are multiplied with each other.

So we have :

The answer is :

The one that is a step used in the construction of an equilateral triangle inscribed in a circle  is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

The steps to construct an equilateral triangle inscribed in a circle are:

1. Draw a point that will be the center of the circle. Label this "point O". Technically, it doesn't matter which character you use to represent a point.

2. Draw a perfect circle centered at point O using a compass.

3. Use a ruler to draw a straight vertical line through point O. Extend this line beyond the boundaries of the circle. 4) Draw a point where the line and the circle intersect. Label the bottom point "Point W" and the top point "Point X".

5) Draw a second circle. The center of this circle is point W and the radius extends to point O.

6) Mark both places where the two circles intersect. Label the left point "Point Y" and the right point "Point Z".

7) Connect the points X, Y and Z with a ruler or straightedge. 

Looking at the options, the only correct step is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

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Answer: One abutment

Step-by-step explanation: When a fixed bridge is created, there must be at least one abutment of the bridge.

The equation of the circle is with the diameter given is x² + y² = 9.

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h,k) is the center of the circle.

We can quickly determine the circle's centre and radius thanks to this form. We must first square the x and y terms before rearranging the components in order to transform a circular equation into standard form.

The endpoints of the diameter is (-3,0) and (3,0).

Now, using the section formula the coordinates of radius are:

((-3+3)/2, (0+0)/2) = (0,0

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h,k) is the center of the circle.

Substituting the values:

(x - 0)² + (y - 0)² = 3²

Hence, the equation of the circle is x² + y² = 9.

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Answer:

1. correct (conversion = x1000)

2. correct (conversion = [divided by] 1000)

3. wrong (conversion should be x100)

4. wrong (conversion should be x1000)

5. correct (conversion = x10)

Answer:

option 1, 2 and 5 are correct

Step-by-step explanation:

1 Km = 1000 m

1) 1.25 km = 1.25 * 1000 = 1250 m

2) 0.345 km = 0.345 *1000 = 345 m

5)   1.7m cm = 1.7 * 10 = 17 mm

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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Answer:

r=\(-\frac{S}{L} +1\)

Step-by-step explanation:

You would want to isolate the r by itself by doing all the opposite operations.

First, you can divide the L to get

1-r =\(\frac{S}{L}\)

Next, move the 1 to the other side to get

-r=\(\frac{S}{L} -1\)

Then, we would not want to keep the negative so, move it to the other side to get

r= \(-\frac{S}{L} +1\)

(Note the 1 changed to a positive because we move the negative to the other side so, negative or negative 1 will be positive.

Hey

here's ur answer ⤵️

Step-by-step explanation:

To convert the decimal to percent we need to simply multiply it by 100

3.06 × 100 = 306%

Hope it helps

Therefore, the inverse Laplace transform of \(L{s^2 + s - 7}/{(s + 2)(s - 1)}\) is: \(L^-1{s^2 + s - 7}/{(s + 2)(s - 1)} = 3e^{(-2t)} - 2e^t.\)

To find the inverse Laplace transform of the function\(L{s^2 + s - 7}/{(s + 2)(s - 1)\)}, we can apply partial fraction decomposition. The function can be written as follows:

\(L{s^2 + s - 7}/{(s + 2)(s - 1)} = A/(s + 2) + B/(s - 1)\)

To find the constants A and B, we need to equate the numerators and solve for A and B:

\(s^2 + s - 7 = A(s - 1) + B(s + 2)\)

Expanding the right side:

\(s^2 + s - 7 = (A + B)s + (2B - A)\)

By comparing the coefficients of like terms on both sides of the equation, we get:

A + B = 1 (coefficient of s)

2B - A = -7 (constant term)

Solving these equations, we find A = 3 and B = -2.

Now, we can rewrite the function as:

\(L{s^2 + s - 7}/{(s + 2)(s - 1)} = 3/(s + 2) - 2/(s - 1)\)

The inverse Laplace transform of each term can be calculated using the Laplace transform table:

\(L^{-1}{3/(s + 2)} = 3e^{(-2t)}\)

\(L^{-1}{-2/(s - 1)} = -2e^t\)

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Step-by-step explanation:

squaring both side

(18√8-8√18)^2=(√n)^2

(18√8)^2+(8√18)^2-(2)(8√18)(18√8)=n

after solving it we will get

3744-3456=n

n=288

=====================================================

Explanation:

Simplify the first part of the left side

\(18\sqrt{8} = 18\sqrt{4*2}\\\\18\sqrt{8} = 18\sqrt{4}*\sqrt{2}\\\\18\sqrt{8} = 18*2*\sqrt{2}\\\\18\sqrt{8} = 36\sqrt{2}\)

And do the same for the second part of the left side

\(8\sqrt{18} = 8\sqrt{9*2}\\\\8\sqrt{18} = 8\sqrt{9}*\sqrt{2}\\\\8\sqrt{18} = 8*3*\sqrt{2}\\\\8\sqrt{18} = 24\sqrt{2}\)

For each simplification, you are trying to factor the stuff under the square root so that you pull out the largest perfect square factor possible.

-------------------------

The original equation \(18\sqrt{8}-8\sqrt{18} = \sqrt{n}\) turns into \(36\sqrt{2}-24\sqrt{2} = \sqrt{n}\)

We have the common factor of \(\sqrt{2}\) so we can combine like terms on the left side ending up with \(12\sqrt{2}\)

-------------------------

So,

\(18\sqrt{8}-8\sqrt{18} = \sqrt{n}\\\\36\sqrt{2}-24\sqrt{2} = \sqrt{n}\\\\12\sqrt{2} = \sqrt{n}\\\\\sqrt{n} = 12\sqrt{2}\\\\\left(\sqrt{n}\right)^2 = \left(12\sqrt{2}\right)^2\\\\n = 288\)

Yes it is possible to express \(18\sqrt{8}-8\sqrt{18}\) as multiples of the same square root. In this case, we can express the left hand side of the original equation as 12 multiples of \(\sqrt{2}\)

Answer:

y=3x+4

Step-by-step explanation:

Use the equation y=mx+c

M is the gradient and c is the y intercept

Answer:

Step-by-step explanation:

As per diagram, the congruent sides/angles are:

So we have two sides congruent and included angle, this is Side-Angle-Side or SAS