What’s the slope of the line?

To solve this problem, let us first find the probability that x < y when point (x, y) is randomly selected from inside the rectangle. Then, using the area of the rectangle, normalize the probability.

The probability that x < y is 1/8.

To find the probability that x < y when a point is randomly chosen from within the rectangle. Let A be the area of the region where x < y, and B be the area of the rectangle. Then, the probability that x < y is given by P(x < y) = A/B. To find A and B, let us first look at the line x = y, which passes through (0,0) and (1,1) and separates the rectangle into two regions: Region I: The area to the right of the line x = y, where x > y. Region II: The area to the left of the line x = y, where x < y. region xy plane Region I has area B - A, and Region II has area A. Hence, B - A + A = B, which implies A/B = A/(B - A) = 1/2. Therefore, we only need to find A.

Let C be the triangle with vertices (0,0), (1,0), and (1,1). This triangle has area 1/2. Since the rectangle has height 1, the line x = y intersects the rectangle at a height of 1/2, which means that A is the area of the trapezoid with vertices (1/2, 0), (1, 0), (1, 1), and (1/2, 1/2).trapezoid xy plane. To find the area of this trapezoid, we can split it into a rectangle and a right triangle, as shown below: split trapezoid xy plane. The rectangle has base 1/2 and height 1, so its area is 1/2. The triangle has base 1/2 and height 1/2, so its area is 1/8. Hence, the area of the trapezoid is 1/2 + 1/8 = 5/8. Therefore, the probability that x < y is P(x < y) = A/B = (5/8) / 4 = 1/8.

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Answer:

A and C

Step-by-step explanation:

m =  1 - (-1) / 3-2 = 2/1 = 2

m = -3 - (-1) / 1 - 2 = -2/-1 = 2

Exercise 1: When tossing 4 identical and distinct coins, the number of macrostates and microstates are given below:MoleculesMacrostatesMicrostates4 coins16 states2^4=16Microstates: The number of ways in which the particles can be distributed among different energy levels is referred to as microstates. Macrostates: The number of ways in which the total energy of the system can be divided into different energy levels is referred to as macrostates. The distribution is represented in the following table: Distribution Microstates (W) Macrostates (Ω)TTTT1111HHHHT4C4,216HHHH3C4,715

Exercise 2:When distributing two distinct particles among three cells, the number of macrostates and microstates are as follows: Molecules Macrostates Microstates 2 particles10 states3^2=9Microstates: The number of ways in which the particles can be distributed among different energy levels is referred to as microstates. Macrostates: The number of ways in which the total energy of the system can be divided into different energy levels is referred to as macrostates. The distribution is represented in the following table: Distribution Microstates (W) Macrostates (Ω)2 in 11C21,23 in 11C31,33 in 11C32,310 in total 9.

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Answer:

x = 1

Step-by-step explanation:

We want to solve the equations for x

-2.4x-3.6y = 1.2

2.4x + 1.2y = 1.2

Add the two equations

-2.4y = 2.4

y = 2.4/-2.4

y = -1

To get x, simply substitute the y-value into any of the equations;

2.4x + 1.2y = 1.2

2.4x + 1.2(-1) = 1.2

2.4x -1.2 = 1.2

2.4x = 1.2 + 1.2

2.4x = 2.4

x = 2.4/2.4

x = 1

Answer:

is x=1

Step-by-step explanation:

Answer:

An InVESTtigator

Step-by-step explanation:

I've heard this before

Answer:

An Investigator.

Use the line segment that connects (3, 42.5) and (5, 44) to estimate the vine length after 4 days.

Given the table of values

To do this, we make use of linear interpolation

Such that the points closest to day 4 are (3, 42.5) and (5, 44)

The slope of the line passing through the two points can be found using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (3, 42.5) and (x2, y2) = (5, 44).

Thus, we have:

m = (44 - 42.5) / (5 - 3) = 0.75

So, we have

y = 0.75x + b

Using the point (3, 42.5), we get:

42.5 = 0.75(3) + b

Solving for b, we get:

b = 42.5 - 0.75(3)

b = 40.25

So, the equation is

y = 0.75x + 40.25

To estimate the vine length after 4 days, we substitute x = 4 into the equation and solve for y:

y = 0.75 * 4 + 40.25

y = 43.25

Therefore, the vine length after 4 days is estimated to be about 43.25 units.

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Answer:

30

Step-by-step explanation:

6x

Replace 'x' with 5.

6(5) =

6 * 5 =

30

Hope this helps.

Answer:

30

Step-by-step explanation:

6 x 5 = 30

Answer:

a and f

Step-by-step explanation:

The transformation is 3 units up, which is concluded from the fact that there is a positive 3 meaning up. This also represents the y-intercept.

Hope this makes sense :)

The perimeter of the Garden is 76 meters. and the length is 32m.

Area= L × B

(L×6) = 16 × 12

L = \(\frac{288}{6}\) = 32m

Therefore L works out to 32 meters.

Perimeter of Garden = 2 × (32+6) = 76 meter.

The area is the quantity that expresses the extent of a place on the plane or on a curved floor. The area of an aircraft area or aircraft location refers to the region of a shape or planar lamina, at the same time as floor vicinity refers back to the region of an open surface or the boundary of a three-dimensional object. the vicinity may be understood as the quantity of cloth with a given thickness that would be essential to fashion a version of the form, or the amount of paint necessary to cover the floor with an unmarried coat. it's miles the two-dimensional analog of the period of a curve (a one-dimensional idea) or the volume of a strong (a three-dimensional concept).

vicinity of a form may be measured by evaluating the form to squares of a fixed size. inside the international system of devices (SI), the usual unit of the region is the rectangular meter (written as m²), which is the region of a square whose facets are one meter lengthy. A shape with a place of three square meters would have the same place as 3 such squares. In arithmetic, the unit rectangular is defined to have region one, and the place of any other shape or floor is a dimensionless actual wide variety.

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Step-by-step explanation:

1. 5x-4 =4x

5x-4x =4

x=4

2. 7x=8x+12

7x-8x =12

-x=12

x= -12

3. 27-3x=3x+27

27-27 = 3+3x

0=6x

0/6 =x

x=0/6

4. 34-2x=7x

34 =7x+2x

34 =9x

34/9=9x/9

3.78=x

x=3.78

5. 5r-7 =2r+14

5r-2r=14+7

3r=21

3r/3 =21/3

r=7

6.-x=7x-56

56=7x+x

56 =8x

x=7

7. 5n -35 =2r +14

5n-2n =14+35

3n =49

n=16.33

8.6w-33 = 12w-15

-33+15= 12w-6w

-18=6w

-3=w

Answer:

35 years

Step-by-step explanation:

Given that:

Current deer population, P0 = 800

Growth rate = 20% yearly

For the population to double in size, P = 2 * P0 = 2 * 800 = 1600

t = number of years

Using the relation :

P =P0(1 + r)^t

1600 = 800(1 + 0.2)^t

1600 / 800 = (1.02)^t

2 = (1.02)^t

t = log2 / log(1.02)

t = (0.3010299 / 0.0086001)

t = 35.003069

t = 35 years

Answer:

3.8

Step-by-step explanation:

Answer: 1. No, because figure 1 is 5 squares and figure 2 is 6 squares

Step-by-step explanation:

Answer:

31.2

Step-by-step explanation:

15+7 = 22

100-22 = 78

78% * 40

= 31.2

The total amount of money after 3 years with a principal of $5000 and an annual interest rate of 5.6% would be $10,875.82.

Assuming that the interest is compounded annually, the calculation for the total amount of interest earned over the 3 years would be:

Interest = Principal x (1 + annual interest rate)^time - Principal

Plugging in the given values:

Interest = $5000 x (1 + 0.056)^3 - $5000

= $5000 x 1.175 + $182.32

= $5875.82

Therefore, the total interest earned over the 3 years would be $5875.82.

To calculate the total amount of money after the 3 years, you would add the interest earned to the principal:

Total amount = Principal + Interest

= $5000 + $5875.82

= $10,875.82

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complete question:

Find the total amount received , If Principal,$5000;Annual interest rate, 5. 6%; time, 3 years ?

The number of diagonal in convex polygon with 20 sides is equal to 170.

Number of sides in convex polygon = 20

Interior angle in convex polygon is less than 180 degrees

To find the number of diagonals in a convex polygon with 20 sides,

we can use the formula,

Number of diagonals  = n(n-3)/2

where n is the number of sides.

Substituting the value of number of sides n=20, we get,

⇒ Number of diagonals  = 20(20-3)/2

⇒ Number of diagonals  = 17 x 20 / 2

⇒ Number of diagonals  = 170

Therefore, a convex polygon with 20 sides has 170 diagonals.

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Answer:

21

Step-by-step explanation:

because you  divide 9 byy 3 and you get 3 so then you do 7 x 3 7x3 is 21

The expressions that complete the blanks are

Set A              Set B

4x                      -

-4x                   -4x

-16x                  5x

-6x                   6x - 6

10 - 6x             2x + 10

From the question, we have the following parameters that can be used in our computation:

The expressions

Solving set (a), we have

? = 10x - 6x = 4x

? = 2x - 6x = -4x

? = -10x - 6x = -16x

? = 0 - 6x = -6x

? = 10 - 6x

Solving set (b), we have

? = 6x - 10x = -4x

? = 6x - x = 5x

? = 6x - 6

? = 6x - 4x + 10 = 2x + 10

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Answer:

See Below

Step-by-step explanation:

150 = p + 78    ------ you want to get the p to one side and the other number the the other side of the =

(78 - 150) = p (78 - 78)   ---- what ever you do to one side you do to the other

72 = p

s - 51 = 12 (same thing as above)

s (-51 + 51)  = 12 + 51

s = 63

65 = blank + 7 ( you can put a letter like x or y because they number is not determined yet)

65 = x + 7 (same as above)

( 7 - 65 ) = x ( 7 - 7 )

58 = x

The value for the limit function \(\lim_{x \to 1} [5f(x)]\) is obtained as Option D : 30.

A limit in mathematics is a pοint at which a functiοn apprοaches the οutcοme fοr the specified input values. Calculus and mathematical analysis depend οn limits, which are alsο used tο determine integrals, derivatives, and cοntinuity.

Using the cοnstant multiple rule fοr limits, we have -

\(\lim_{x \to 1} [5f(x)] = 5 \times \lim_{x \to 1} [f(x)]\)

Since we know that \(\lim_{x \to 1} [f(x)]=6\), we can substitute that value and simplify.

The equation will be -

\(\lim_{x \to 1} [5f(x)] = 5 \times \lim_{x \to 1} [f(x)]\)

= 5 × 6 = 30

Therefore, \(\lim_{x \to 1} [5f(x)]=30\).

This means that as x apprοaches 1, the expressiοn 5f(x) apprοaches 30.

Intuitively, we can think οf this as scaling the functiοn f(x) by a factοr οf 5.

Since the limit οf f(x) as x apprοaches 1 is 6, we can expect the limit οf 5f(x) tο be 5 times larger, which is 30.

Therefοre, the value fοr the limit functiοn is 30.

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Answer:D

Step-by-step explanation:took on edge

Answer:

B. 39

Step-by-step explanation:

134 is a supplementary angle, so 180-134=46. 46 is the bottom left interior angle of the triangle.

Next that 56 and the bottom right exterior angle are supplementary, so 180-56=124.

now we have the bottom right exterior angle, to find the interior 180-124=56.

Then we can set up the equation to find x:

56+46+2x=180

we have 180 because all triangles angle equal 180.

calculate the equation:

combine like terms, (2x)+(56+46)=180

2x+102=180

Subtract 102 from both sides,

180−102=78

2x=78

Divide both sides by 2.

78/2=39

x=39.

Answer:

100 yes there are trust me

Alyssa spent $90 at her favorite shop.

It has to do with algebra.

the area of mathematics where numbers and quantities are represented in formulas and equations by letters and other generic symbols. There are several sub-branches of algebra, including commutative algebra, abstract algebra, linear algebra, and elementary algebra.

Alyssa currently possesses $144.

She spent 5/8 of that amount at her favorite store.

= (5 * 144) ÷ 8

After solving, we obtain the value $90.

As a result, Alyssa spent $90 at her favorite retailer.

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Answer:

5

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 5

Explanation:

-3 - (-8) = -3 + 8

-3 + 8 = 5

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

there was a 44% increase to the number of bars.

Step-by-step explanation:

8/12 = 0.66

0.66 x 100 = 66

100 - 66 = 44

44%

correct me if I am wrong

Once we have the values of VW and h, we substitute them into the area formula, A = 1/2 * VW * h, to calculate the area of triangle UVW. After performing the necessary calculations, we obtain the final result, rounding to the nearest tenth of a square inch.

1. The area of triangle UVW can be found using the formula A = 1/2 * b * h, where b represents the base of the triangle and h represents the corresponding height. In this case, we can determine the base and height by utilizing trigonometric functions.

2. Given that ∠U = 5° and u = 6.7 inches, we can find the height, which is the perpendicular from vertex U to base VW. Using the sine function, sin(5°) = h/6.7. Solving for h, we have h = 6.7 * sin(5°).

3. To find the length of base VW, we can use the law of sines. Using the angle ∠W = 19° and its corresponding side u = 6.7 inches, we have sin(19°) = VW/sin(162°). Solving for VW, we get VW = 6.7 * sin(19°) / sin(162°).

4. Now, we can substitute the values of the base and height into the area formula: A = 1/2 * VW * h. After calculating the values of VW and h, we can find the area by substituting them into the formula.

5. To find the area of triangle UVW, we first calculate the height h using the sine function with ∠U and u. Then, we determine the length of base VW using the law of sines with ∠W and u. Finally, we substitute these values into the area formula, A = 1/2 * VW * h, to obtain the area of triangle UVW.

6. To fully explain the solution, we begin by using the sine function to determine the height of triangle UVW. The sine of ∠U (5°) is equal to the ratio of the height (h) to the length of side u (6.7 inches). By rearranging the equation, we find h = 6.7 * sin(5°).

7. Next, we apply the law of sines to find the length of base VW. The law states that the ratio of a side length to the sine of its opposite angle is constant. In this case, we use the sine of ∠W (19°) and its corresponding side u (6.7 inches) to find the length of VW. We set up the equation as sin(19°) = VW / sin(162°) and solve for VW by cross-multiplication.

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Answer:

38.774

Step-by-step explanation:

Answer:38.774

Step-by-step explanation:

The area of the region bounded by the line x + y = 4 and the coordinate axes is calculated to be 8/3 square units.

The region bounded by the line x + y = 4 and the coordinate axes is a right triangle with vertices at (0,0), (4,0), and (0,4). To express the area of this region as an iterated double integral, we can integrate over the rectangle R = [0,4] × [0,4] and subtract the integral over the triangle T = {(x,y) : x + y ≤ 4}.

Thus, the area of the region is given by the double integral:

A = ∬R dA - ∬T dA

Since dA = dxdy, we can evaluate this as:

A = ∫0⁴ ∫0⁴ dxdy - ∫0⁴ ∫0⁴-x+y dxdy

Simplifying this, we get:

A = ∫0⁴ ∫0⁴-x dydx

Evaluating the inner integral first, we get:

A = ∫0⁴ (-x)(4-x) dx

Integrating this, we obtain:

A = ∫0⁴ (-4x + x²) dx = [-2x^2 + (1/3)x³]0⁴ = 8/3

Therefore, the area of the region bounded by the line x + y = 4 and the coordinate axes is 8/3 square units.

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Answer:

10

Step-by-step explanation:

If your not a member it would cost 6 member lessons because 60 by 6=10

6=1 lesson

12=2 lessons

18=3 lessons

24= 4 lessons

30=5 lessons

36=6 lessons

42=7 lessons

48=8 lessons

54=9 lessons

60=10 lessons

If your are ready and member the 30 because 2$ if for 1 lesson so 30 lessons x 2$ each is 30.

Hope it helps have a great day

The change in total deposits in the banking system as a whole is $500 million.

To calculate the potential money multiplier with a 1 percent required reserve ratio, zero excess reserves, and no currency leakages, you can use the following formula:

Money Multiplier = 1 / Required Reserve Ratio

Step 1: Convert the required reserve ratio to a decimal:
1 percent = 0.01

Step 2: Apply the formula:
Money Multiplier = 1 / 0.01 = 100

The potential money multiplier is 100.

Next, to calculate the change in total deposits in the banking system as a whole when the Federal Reserve purchases $5 million in US government securities, you can use the following formula:

Change in Total Deposits = Change in Reserves × Money Multiplier

Step 3: Identify the change in reserves:
The change in reserves is equal to the amount of securities purchased, which is $5 million.

Step 4: Apply the formula:
Change in Total Deposits = $5 million × 100 = $500 million

The change in total deposits in the banking system as a whole is $500 million.

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