solve for x 21 27 x-3 x-1

Every additive inverse is  mathematically given as

Options A and D

This is further explained below.

Generally, A number a has an additive inverse that corresponds to the number that, when added to a, results in the value zero. In addition to these names, this number is also known as the sign change, the opposite, and the negation.

A number that results in zero when added to another number; the additive inverse of four is the negative number four.

In conclusion, All  additive inverse is

4, -4

-5, 5

Options A and D

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The general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

Given a recurrence relation tn = 120,-2 - 166n-3 + 2 we have to derive the general solution form for the recurrence sequence.

We have the recurrence relation tn = 120,-2 - 166n-3 + 2

We need to find the solution for the recurrence relation.

Associated Homogeneous Equation: First, we need to find the associated homogeneous equation.

                                     tn = -166n-3 …..(i)

The characteristic equation is given by the following:tn = arn. Where ‘a’ is a constant.

We have tn = -166n-3..... (from equation i)ar^n = -166n-3

                                Let's assume r³ = t.

Then equation i becomes ar^3 = -166(r³) - 3ar^3 + 166 = 0ar³ = 166

Hence r = ±31.10.3587Complex roots: α + iβ, α - iβ

Characteristics Polynomial:

                   So, the characteristic polynomial becomes(r - 31)(r + 31)(r - 10.3587 - 1.7503i)(r - 10.3587 + 1.7503i) = 0

The general solution of the Homogeneous equation:

Now we have to find the general solution of the homogeneous equation.

                  tn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)

                        nWhere C1, C2, C3, C4 are constants.

Computing a Particular Solution:

                Now we have to compute the particular solution.

                                  tn = 120-2 - 166n-3 + 2

Here the constant term is (120-2) + 2 = 122.

The solution of the recurrence relation is:tn = A122Where A is the constant.

The General Solution of Non-Homogeneous Equation:

        The general solution of the non-homogeneous equation is given bytn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)n + A122

Hence, we have derived the general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

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The limit lim x → n − ⌊ x ⌋ is equal to n because the floor function ⌊ x ⌋ approaches n from values less than n as x approaches n from the left.

To evaluate the limit lim x → n − ⌊ x ⌋, we need to understand the concept of the floor function ⌊ x ⌋. The floor function returns the largest integer that is less than or equal to x. For example, ⌊3.7⌋ = 3 and ⌊-2.5⌋ = -3.

When we take the limit as x approaches n from the left (denoted by the minus sign in x → n − ⌊ x ⌋), we are essentially asking what happens to the function as x gets closer and closer to n from values less than n. Since n is an integer, the floor function ⌊ x ⌋ will always be equal to n when x is between n and n+1. Therefore, as x approaches n from the left, ⌊ x ⌋ will approach n.

So the limit lim x → n − ⌊ x ⌋ is equal to n. This makes sense intuitively, as we are essentially taking the integer part of a number that is very close to n from values less than n, so it would make sense for the integer part to be equal to n itself.

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Step-by-step explanation:

W=-6, x=1.2, and z=-6/7

(W²x-3)÷10-z

we substitute

((-6²)(1.2)-3)÷10-(-6/7)

((-36)(1.2)-3) ÷10-(-6/7)

(-43.2-3) ÷10(6/7)

(-46.2)÷60/7

-46.2÷60/7

-46.2*7/60

-46.2/1*7/60

-323.4/60

-5.39

Required value of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 is (-4.69)

What is the value of of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 ?

We know,

By BODMAS rule,

B - Bracket

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

We should maintain the following sequence,

Bracket - Of - Division - Multiplication - Addition - Subtraction

We are applying BODMAS rule.

Here,\(( {w}^{2} x - 3) \div 10 . z\) and w=−6, x = 1.2, and z=−6/7

We are putting value of w,x,z in given expression and get

\(( {( - 6)}^{2} \times 1.2 - 3) \div 10 ( - \frac{6}{7} ) \\ = -(36 \times 1.2 - 3) \div \frac{60}{7} \\ = -(43.2 - 3) \div \frac{60}{7} \\ = -40.2 \div \frac{60}{7} \\= -40.2 \times \frac{7}{60} = -4.69\)

Therefore, Required value of the given term is (-4.69)

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Answer:

A) There is a strong relationship showing that as the number of days increases, the height of the plants increases.

Step-by-step explanation:

Because the correlation coefficient of 0.85 is very close to 1, there's going to be a strong, positive linear correlation between the two variables. Therefore, option A is correct.

There is a strong relationship showing that as the number of days increases, the height of the plants increases.

A correlation coefficient is a bivariate statistic when it summarizes the relationship between two variables, and it’s a multivariate statistic when you have more than two variables.

Marcus measured the height, In Inches, y, of plants over the course of 3 weeks, The correlation coefficient between the number of days, x, and the height of the plants is 0.85.

When the correlation coefficient is above 0.8, the correlation cofficeint is strong.

And the function is increasing.

So, there is a strong relationship showing that as the number of days increases, the height of the plants increases.

Hence, there is a strong relationship showing that as the number of days increases, the height of the plants increases.

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Answer:

64

Step-by-step explanation:

Trust me, this is the answer, PLEASE GIVE ME BRAINLIEST

Answer:

the answer would be 573,048.

3028 divided by 4 is 757. 757 could not be a side length because then the shape would be a square and not a rectangle. 756 and 758 would be a rectangle and the closest to 757.

756 * 758 = 573,048

If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

We know that when a transversal cuts two parallel lines, then the corresponding angles are equal.

We know that parallel lines never intersect each other. When a third line is perpendicular to one of the parallel lines, then the third line must be perpendicular to another line as well.

To prove if AD is perpendicular to MN, it is also perpendicular to OP

ABN=90o

( Since AD is perpendicular to MN)

BCP=ABN=90o

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(a) y = \(\frac{-1}{2}\)x -  \(\frac{3}{2}\)

(b) y = 2x + 3

(a) The equation of a line given by points M(x₁, y₁) and N(x₂, y₂) is given by:

y - y₁ = m(x - x₁)            -------------------(i)

Where;

m = \(\frac{y_2 - y_1}{x_2 - x_1}\) = slope or gradient of the line  ---------------(ii)

Given points on the triangle are:

A(2,5)

B(1,-2)

C(-5,1)

To find the equation of line BC, we use the formulas in equations (i) and (ii) where the points of the line are B(1,-2) and C(-5,1) and;

x₁ = 1

y₁ = -2

x₂ = -5

y₂ = 1

==> First get the gradient using equation (ii) as follows;

m = \(\frac{y_2 - y_1}{x_2 - x_1}\) = \(\frac{1 - (-2)}{-5 -1}\)

m =   \(\frac{3}{-6}\)

m = \(\frac{-1}{2}\)

==> Now, use equation (i) to find the equation of the line as follows;

y - (-2) = \(\frac{-1}{2}\)(x - 1)

y + 2 = \(\frac{-1}{2}\)(x - 1)

Multiply both sides by 2

2(y+2) = -1 ( x - 1 )

2y + 4 = -x + 1

2y = -x + 1 - 4

2y = - x - 3

y =  \(\frac{-1}{2}\)x -  \(\frac{3}{2}\)

Therefore, the equation of the line is y = \(\frac{-1}{2}\)x -  \(\frac{3}{2}\)

(b) To find the perpendicular line from A to BC, note that

i. two lines are perpendicular if they meet at 90°

ii. the general equation of a line could also be written as y = mx + c where m is the slope and c is the intercept.

iii. when one line has a slope of m, then a perpendicular line to that line will have a slope of \(\frac{-1}{m}\)

The equation of line BC is y = \(\frac{-1}{2}\)x -  \(\frac{3}{2}\).

This means that BC has a slope of \(\frac{-1}{2}\)

A perpendicular line from A to BC will have a slope of 2.

Now to get the equation of this perpendicular line from A(2, 5) to BC, we use the general equation of a line given in equation (i)

where;

m = 2

x₁ = 2

y₁ = 5

Substitute these values into equation (i)

y - 5 = 2(x - 2)

Solving by simplification gives;

y - 5 = 2x - 2

y = 2x + 3

Therefore, the equation of the perpendicular line is y = 2x + 3

As per the unitary method, the number of matches produced in Oregon over the same period is 64

The term unitary method is known as the method of finding the value of a single unit from the value of multiple units

Here we have given that the increase in the number of matches produced in California from 1980 to 1990 exceeds.

Therefore, the number of increase is calculated as,

CA = 0.33(1.2) = 396

If the increase is calculated as,

=> 0.33(1.6) = 528

Then the difference is calculated as,

=> 528 - 396 = 132

Similarly the number of matches in Oregon is calculated as.

=>  0.17(1.2) =204 M

=> 0.17(1.6) = 272 M

Therefore, the difference is calculated as

=> 272 -204 = 68

Therefore the total difference between increases is written as,

=> 132-68 = 64

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Answer:

B (1,5)

Step-by-step explanation:

Answer:

Y=7

Step-by-step explanation:

Answer:

A. 95 degrees

Step-by-step explanation:

Both angles should add up to 180

85+_95_=180

To find the Depth you need to substitute the values of x and y into the equation: depth = y - x.

To determine the depth of the satellite dish, we need to calculate the distance from the receiver to the vertex of the dish. Given that the receiver is located inches above the vertex, we can subtract this distance from the dish's width to find the depth.

Let's assume the distance from the receiver to the vertex is x inches. We know that the width of the dish is y inches. It may be a parabola. Therefore, the depth of the dish can be calculated as y - x inches.

However, since you haven't provided specific values for the receiver's distance or the dish's width, it is not possible to give an exact answer. To find the depth, you need to substitute the values of x and y into the equation: depth = y - x.

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Answer:

The expression represents the price you paid per gallon is:

Step-by-step explanation:

To identify the expression is right, I'll show you with an example: suppose that you paid $56 buying 7 gallons of gas, now you can replace those values in the expression I gave you:

And you can check this value by multiplying the price paid by the gallon and the number of gallons, which you obtain the number of dollars you spent:

Therefore: a. The current ratio is approximately 1.68. b. The quick ratio is approximately 0.80. a. Current ratio times is approximately $6,229.68. b. Quick ratio times is approximately $2,968.00.

To calculate the current ratio and quick ratio for SDJ, Inc., we'll use the following formulas:

Current Ratio = Current Assets / Current Liabilities

Quick Ratio = (Current Assets - Inventory) / Current Liabilities

Given the information:

Net Working Capital = $3,710

Current Liabilities = $5,500

Inventory = $4,440

a. Current Ratio:

Current Assets = Net Working Capital + Current Liabilities

Current Assets = $3,710 + $5,500 = $9,210

Current Ratio = Current Assets / Current Liabilities

Current Ratio = $9,210 / $5,500

Current Ratio ≈ 1.68

b. Quick Ratio:

Quick Ratio = (Current Assets - Inventory) / Current Liabilities

Quick Ratio = ($9,210 - $4,440) / $5,500

Quick Ratio ≈ 0.80

a. Current ratio times:

Current Ratio times = Current Ratio * Net Working Capital

Current Ratio times = 1.68 * $3,710

Current Ratio times ≈ $6,229.68

b. Quick ratio times:

Quick Ratio times = Quick Ratio * Net Working Capital

Quick Ratio times = 0.80 * $3,710

Quick Ratio times ≈ $2,968.00

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Answer:

21

Step-by-step explanation:

it is not a prime number, according to prime number only the number and 1 can it be divided but here 21 can be divided by 1,3,7 and 21 itself. Therefore others are prime number except 21

The proof of ∠WVY = ∠XVZ for the given angles in the figure has been proved.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

As per the given,

∠WVX = ∠YVZ

Since,∠WVX = ∠WVY - ∠YVX

∠YVZ = ∠XVZ - ∠YVX

Compare both,

∠WVY - ∠YVX  = ∠XVZ - ∠YVX

∠WVY = ∠XVZ (proved)

Hence "The proof of ∠WVY = ∠XVZ for the given angles in the figure has been proved".

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Answer:

-8-5m

Step-by-step explanation:

In triangle ΔABC angle m∠A = 38.68°

An angle is the space between of the point of intersection of two rays meeting at a common vertex.

Since we have triangle ΔABC and m∠B = 90 and the ratio BC/AC = 0.625. We desire to find angle A, we proceed as follows.

In  ΔABC, since m∠B = 90, this implies that ΔABC is a right-angled triangle.

Also, the ratio BC/AC = cosC

Since BC/AC = 0.625

⇒ cosC = 0.625

Taking inverse cosine of both sides, we have

C = cos⁻¹(0.625)

= 51.318°

≅ 51.32°

Also in ΔABC

m∠A + m∠B + m∠C = 180°  (sum of angles in a triangle)

So, m∠A = 180° - m∠B - m∠C

= 180° - 90° - 51.32°

= 90° - 51.32°

= 38.68°

So, angle m∠A = 38.68°

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Answer:

41.6 (rounded to nearest tenth)

Answer:

I need about     41   liters of gas to fill my tank

Step-by-step explanation:

Full tank: 17 gallons

Amount of gas in tank now: 6 gallons

Amount needed to fill tank: 17 gallons - 6 gallons = 11 gallons

The amount needed to fill the tank is 11 gallons.

Now we convert 11 gallons to liters.

We use conversion fractions, first from gallons to quarts, then from quarts to liters.

11 gallons * (4 quarts)/(1 gallon) * (0.94 liter)/(1 quart) = 41.36 liters

Answer:

the transitive property of uniformity reveals to us that on the off chance that we have two things that are equivalent to one another and the subsequent thing is equivalent to a third thing, at that point the primary thing is additionally equivalent to the third thing. The recipe for this property is in the event that a = b and b = c, at that point a = c.

I have attached the definition below with an example too.

Answer: 5, 4, ,6 6,4 2, 2

Step-by-step explanation:

Ting a ring + Ring a ting = 5,4,6,6,4,2,2

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By using the concept of probability, it can be calculated that

Probability that the flight arrives on time =  \(\frac{399}{500}\)

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Total number of flights = 1000

Number of flights arriving on time = 798

Probability that the flight arrives on time = \(\frac{798}{1000}\)

                                                                   = \(\frac{399}{500}\)

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Answer:

10: -5

11: 9

12: 12

Step-by-step explanation:

I got to put stuff here but those answers are correct

Answer:

im stealing these

Step-by-step explanation:

C. Whole

Answer:

m

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

Out of 80 students the no. of students who sign up=48

So, out of 1200 students 48×1200÷80=720 students sign up.

Answer:

22 yards

Step-by-step explanation:

P = 5+2+3+4+2+6

P = 22