Your question
Sushil was thinking of a number. Sushil doubles it and adds 4.7 to get an answer of 77.8. Form an equation with x from the information

The within-treatments sum of squares is sometimes referred to as the "error sum of squares" because it represents the amount of variability in the data that is not accounted for by the treatment effect. In other words, it represents the variability that is due to random error or chance factors that are not related to the treatment. The error sum of squares is used to estimate the variance of the population from which the samples were drawn. The F-ratio is then calculated by comparing the treatment mean square to the error mean square. If the treatment effect is significant, then the treatment mean square will be larger than the error mean square, resulting in a larger F-ratio and a rejection of the null hypothesis. Therefore, the error sum of squares is an important component of the ANOVA table as it helps to determine whether the treatment effect is significant or not.

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Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

Answer:

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

\(a_{n}\) = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1.  That gives us our common difference or slope.  The y intercept is -7. That is the value is you worked backwards until you get to n = 0.  The initial value  is 3.  That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear.  I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence.  If my explanation is confusing it is me and not you.

Answer:

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

For Question:

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7

First, you'll need to simplify the more complicated part

The lid & the hight are one of the same, so you need to add them together, making the porportions

L: 4

H: 2.5

W: 2.75

Then, start multiplying

lol i wont tell you how to do this exactly, just use a surface area calculator, like calculator dot net

(shhh dont tell anybody, but 2×(4×2.75 + 4×2.5 + 2.75×2.5))

The answer is 55.75 feet^2 by the way

:D

Answer:

i think it jkme

Step-by-step explanation:

Answer:

D) 60 degree

Step-by-step explanation:

Let's connect the remaining diagonal, which forms a triangle containing angle x.

As a property of regular hexagon, all diagonals are equal.

=> The formed triangle is a regular triangle and it has three equal angles, which are 60 degrees.

Answer:

d

Step-by-step explanation:

i like ya cut g

Answer:

The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7

Step-by-step explanation:

The slope-intercept form of an equation is given by:

\(y = mx+b\)

here m is the slope of the line and b is the y-intercept

Given

\(m = 2\)

Putting m=2 in the general form

\(y = 2x+b\)

In order to find the y-intercept, the given point (-3,1) will be substituted in the equation

So

\(1 = 2(-3)+b\\1 = -6+b\\b = 1+6\\b = 7\)

Putting the value of b

\(y = 2x+7\)

Hence,

The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7

Given:

Consider the below table attached with this question.

Every square meter of ceiling requires 10.75 tiles.

To find:

The missing values in the table.

Solution:

We have,

1 square meter of ceiling =  10.75 tiles.      ...(i)

Therefore, the number of tiles corresponding to 1 square meter of ceiling is 10.75.

Multiply both sides by 10.

10×1 square meter of ceiling =  10×10.75 tiles.

10 square meter of ceiling =  107.5 tiles.

Therefore, the number of tiles corresponding to 10 square meter of ceiling is 107.5.

Divide both sides by 10.75 in (i).

\(\dfrac{1}{10.75}\) square meter of ceiling = 1 tile.

Multiply both sides by 100.

\(\dfrac{100}{10.75}\) square meter of ceiling = 100 tiles.

On approximating the value, we get

9.3 square meter of ceiling = 100 tiles.

Therefore, the square meters of ceiling corresponding to 100 tiles is about 9.3.

Multiply both sides by a in (i).

a×1 square meter of ceiling =  a×10.75 tiles.

a square meter of ceiling =  10.75a tiles.

Therefore, the number of tiles corresponding to a square meter of ceiling is 10.75a.

The missing values in the table have been calculated and they are underlined below;

1) 1 m² = 10.75 tiles

2) 10 m² = 107.5 tiles

3) 9.3 m² of tiles = 100 tiles

4) a m² = 10.5a tiles

The table is missing and so i have attached it.

From the question, we are told that each square meter of ceiling requires 10.75 tiles. Thus on the first row;

1 m² = 10.75 tiles

The second row of the table shows 10 m² of tiles.

Thus, by proportion, 10 m² of tiles will require; 10 × 10.75 tiles = 107.5 tiles

The third row shows us 100 tiles required.

Since 10.75 tiles is for 1  m² , then by proportion, we can find the square meters of tiling of 100 tiles. Thus;

100 tiles will use; 100 × 1/10.75 = 9.3 m² of tiles

The fourth row shows us square meter of tiles to be a.

Thus by proportion, number of tiles required for this square meter of tile is;

a × 10.75/1 = 10.75a tiles

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The required ordered pair (x,y) = (3,4) is a solution to the given equation -x+2y=5.

To determine an ordered pair that is a solution to the equation -x+2y=5, we can first solve for y in terms of x by moving all of the terms that contain x to one side of the equation and all of the terms that do not contain x to the other side. We can do this by adding x to both sides of the equation:

-x + 2y = 5

x + (-x) + 2y = 5 + x

2y = 5 + x

Next, we can divide both sides of the equation by 2 to solve for y in terms of x:

2y = 5 + x

y = (5 + x)/2

Now that we have solved for y in terms of x, we can plug in any value of x that we choose to find the corresponding value of y.

For example, if we plug in x = 3, we get:

y = (5 + 3)/2

y = 8/2

y = 4

Therefore, the ordered pair (x,y) = (3,4) is a solution to the equation -x+2y=5.

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Step-by-step explanation:

sin A = opposite/ Hypotenuse

Sin A = 5/7

Hello !

sin(A) = opposite/hypotenuse = 5/7

arcsin(5/7)  ≈ 45,58°

sin(A) = 5/7

the angle A ≈ 45,58°

Answer:

(A) is NOT TRUE

And (B) and (D) so (C)

The statement that is not true is:

O A. The 4 represents more weight than the 1.

O C. All of these statements are true.

This statement cannot be true since statement A is not true.

We have from the given information,

A. The 4 represents more weight than the 1.

This statement is not true because in the number 51.4, the digit 4 represents part of a pound, which is less than a whole pound. The digit 1 represents the whole pounds, and the digit 4 represents 4/10 or 0.4 pounds. So, the 1 represents more weight (51 pounds) than the 4 (0.4 pounds).

B. The 51 represents whole pounds. The 4 represents part of a pound.

This statement is true. The number 51.4 represents 51 whole pounds (the digit 51) and 0.4 pounds (the digit 4).

C. All of these statements are true.

This statement cannot be true since statement A is not true.

D. The suitcase weighs more than 51 pounds, but less than 52 pounds.

This statement is true. The weight of the suitcase is 51.4 pounds, which is more than 51 pounds and less than 52 pounds.

In summary, statement A is the one that is not true. The digit 1 represents more weight (51 pounds) than the digit 4 (0.4 pounds) in the weight of the suitcase.

Hence, The statement that is not true is:

O A. The 4 represents more weight than the 1.

O C. All of these statements are true.

This statement cannot be true since statement A is not true.

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Answer:

10 + 20 + 2

Easy, make it easy to do mentally than add the remaining

Answer:

12 + 20 = 4*3 + 4*5 = 4*(3 + 5)  

Step-by-step explanation:

Distributive property states

a*(b + c) = a*b + a*c  

Look if you know that 12 = 4*3 and 20 = 4*5

You can write it as

12 + 20 = 4*3 + 4*5 = 4*(3 + 5)  

That would be it in distributive property

Answer:

-9

Step-by-step explanation:

First combine like terms.

-8x+5-2x-4+5x       -8x-2x+5x=-5x

-8x+5-2x-4+5x       5-4=1

Now plug in 2 for x

-5x+1

   ↓

-5(2)+1= -10+1=-9

If this is wrong, I'm sorry for the misguidance.

The standard deviation of the heights in this population is approximately 2.5 inches. The standard deviation of a normally distributed population can be estimated using the 68-95-99.7 rule.

The rule states that 68% of the values lie within one standard deviation of the mean, 95% of the values lie within two standard deviations of the mean, and 99.7% of the values lie within three standard deviations of the mean.

In this case, since the middle, 99.7% of the population lies between 5'0" and 7'0" (a difference of 24 inches), the standard deviation must be approximately 2.5 inches. This means that the mean of the population must lie somewhere between 6'0" and 6'6", as that is the range in which the middle 99.7% of the population will lie between 5'0" and 7'0".

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Answer:

x = 28°

Step-by-step explanation:

Angle sum property of triangle:

             Sum of all the three angles of the triangle is 180°.

   50 + 2x + 3x - 10 = 180°

    2x + 3x + 50 - 10 = 180°

Combine like terms,

                   5x + 40 = 180°

Subtract 40 from both sides,

                           5x = 180 - 40

                           5x = 140°

Divide both sides by 5,

                             x = 140 ÷ 5

                            \(\sf \boxed{\bf x = 28^\circ}\)

Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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Answer:

1/6

Covert simplest

1/3÷2

1/6

To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The answer to the expression is  (x+3)/(x-1)

You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0

The given expressions are

(x² - 3x - 18) / (x²- 7x +6

(x²-6x +3x +19) / (x²-x -6x +6)

This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}

⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]

This means that [(x+3)(x-6)] / [(x-6)(x-1)]

Dividing by (x-6) to have

Therefore the value of the expression is (x+3)/(x-1)

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Step-by-step explanation:

-28÷4=2

-7=2

= -7-2

= -9 is the correct answer..

Answer: Perimeter = 42.2 m

              Area = 81.1125 m²

Step-by-step explanation:

                                                      Lower     Upper

Length is given as 15.8    -->         15.75 ≤ L < 15.85

width is given as 5.2       -->           5.15 ≤ w < 5.25

Perimeter = 2L + 2w     (Upper bound)

                = 2(15.85) + 2(5.25)

                =   31.7      +   10.5

                =   42.2

Area = Length x width     (Lower bound)

        = 15.75 x 5.15

        = 81.1125

Answer:

=] - 13

Step-by-step explanation:

=>21+(-34)

=> 21-34

=> -13

The area of kite is 42 in². The correct option is D. 42 in²

From the question, we are to determine the area of the kite.

The area of a kite can be calculated by using the formula

A = pq/2

Where p and q are the diagonals

First, we will determine the lengths of the diagonals

p = 4 in + 10 in

p = 14 in

To determine the other diagonal, q

Let x be half of q

Then, we can write that

x² + 4² = 5² (Pythagorean theorem)

x² + 16 = 25

x² = 25 - 16

x² = 9

x = √9

x = 3

But, q = 2x

Then,

q = 2×3

q = 6

Thus,

Area of the kite = (14×6)/2

Area of the kite = 42 in²

Hence, the area is 42 in²

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The exceptions to this doctrine are:

At-will employment means that the employer may end the relationship at any moment, for any reason, and without following any formal procedures or requirements. An employee has the same freedom to quit their job at any moment and for any cause without facing any negative legal repercussions.

Exceptions to the Employment at Will Policy

Public policy, a stated contract, and a stated agreement of good faith have all been deemed to have three essential disparities that contradict the doctrine of his will by the courts.

Public Policy Exception: The creation of public policy shields employees from unethical hiring practises that go against the general welfare. Although these characteristics are interpreted differently in each province, there are four categories that are commonly acknowledged in employment law.

Implied Contract Exception: The employer is permitted to create an implied contract of employment by the use of employment agreements, rules, practises, or verbal or written promises.

Implied Covenant of Good Faith: In several provinces, the courts have upheld the employment relationship's claimed good faith and cooperation.

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

Explanation:

Recall that the range for cosine is from -1 to 1, including both endpoints. The smallest cosine value is what we're after, since we want the height to be as small as possible (to allow the blade be closest to the table).

Effectively, this means we replace the cos(x) with -1 so that it's as small as possible. Then we compute to get:

20*cos(x)+25

20*(-1) + 25

-20 + 25

5

The height of the fan tip is 5 cm when it is the closest to the table.

Side note: On the flip side, the furthest away the fan tip can get is 20*(1) + 25 = 45 cm. Therefore, the range of y values is \(5 \le y \le 45\)

The x-intercept(s) of the parabola is x = -4 and the vertex of the parabola is (-4, 0)

Parabola equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The x-intercepts

The parabola is given as:

y=x^2+8x+16

Expand the equation

y = x^2 + 4x + 4x +16

Factorize the equation

y = (x + 4)^2

Set the factor to 0

(x + 4)^2 = 0

Take the square root of both sides

x + 4 = 0

Solve for x

x = -4

Hence, the x-intercept(s) of the parabola is x = -4

The vertex

The parabola is given as:

y=x^2+8x+16

Differentiate

y' = 2x + 8

Set the equation to 0

2x + 8 = 0

Divide through by 2

x + 4 = 0

Solve for x

x = -4

Substitute x = -4 in y=x^2+8x+16

y = (-4)^2 + 8(-4) + 16

Evaluate

y = 0

Hence, the vertex is (-4, 0)

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