Write the inequality represented by the graph below.

Answer:

73

Step-by-step explanation:

22.3-10=12.3

12.3*3.89=47.847

25+47.847=72

73 is the closest

In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.

In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.

First, let's use the Pythagorean Theorem to find the third side of the right triangle.

If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:

4² + b² = 5²
16 + b² = 25
b² = 9
b = 3

Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).

Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3

Therefore, the exact value of cot(0) is 4/3.

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Answer:

b

Step-by-step explanation:

i dont know how to explain it lol but its b

with the options Givin I found the anserw was B

Answer:

d

Step-by-step explanation:

the ratio of height : shadow of statue is 15 : 20 = 3 : 4

the ratio of height : shadow of person will also be 3 : 4

jet height of person be h , then

\(\frac{h}{4}\) = \(\frac{3}{4}\) ( cross- multiply )

4h = 12 ( divide both sides by 4 )

h = 3

then the person is 3 feet tall

Answer:

d) 3 feet

Step-by-step explanation:

For a Poisson process with rate λ, the interarrival times between events are exponentially distributed with parameter μ = 1/λ. So, the time between the (n-1)-th and n-th event, denoted as Tn, follows an exponential distribution with parameter μ = 1/3 minutes.

Since Sn is the sum of the first n interarrival times, we have:

Sn = T1 + T2 + ... + Tn

The sum of n exponential random variables with parameter μ is a gamma random variable with shape parameter n and scale parameter μ. Therefore, Sn follows a gamma distribution with shape parameter n and scale parameter μ.

In this case, n = 10 and μ = 1/3. So, E[S10] can be calculated as:

E[S10] = n * μ = 10 * (1/3)

= 10/3 minutes.

Therefore, E[S10] = 10/3 minutes.

b. E[S4|N(1) = 3]:

Given that N(1) = 3, we know that there are 3 events in the first minute. Therefore, the time of the 4th event, S4, will be the sum of the first 3 interarrival times plus the time between the 3rd and 4th event.

Using the same reasoning as in part a, we know that the sum of the first 3 interarrival times follows a gamma distribution with shape parameter 3 and scale parameter 1/3. The time between the 3rd and 4th event, denoted as T4, follows an exponential distribution with parameter 1/3.

So, S4 = T1 + T2 + T3 + T4.

Since T1, T2, T3 are independent of T4, we can calculate E[S4|N(1) = 3] as:

E[S4|N(1) = 3] = E[T1 + T2 + T3 + T4]

= E[T1 + T2 + T3] + E[T4]

= (3/3) + (1/3)

= 4/3 minutes.

Therefore, E[S4|N(1) = 3] = 4/3 minutes.

c. Var(S10):

The variance of Sn, Var(Sn), for a Poisson process with rate λ, is given by:

Var(Sn) = n * σ^2,

where σ^2 is the variance of the interarrival times.

In this case, n = 10 and the interarrival times are exponentially distributed with parameter μ = 1/3. The variance of an exponential distribution is \(\mu^2\)So, \(\sigma^2 = \left(\frac{1}{3}\right)^2\)

= 1/9.

Substituting the values into the formula, we have:

Var(S10) = 10 * (1/9)

= 10/9.

Therefore, Var(S10) = 10/9.

d. E[N(4) − N(2)|N(1) = 3]:

Given that N(1) = 3, we know that there are 3 events in the first minute. Therefore, at time t = 2 minutes, there will be 3 - 1 = 2 events that have already occurred.

Now, we need to find the expected value of the difference in the number of events between time t = 4 minutes and t = 2 minutes, given that there were 3 events at t = 1 minute.

Since the number of events in a Poisson process follows a Poisson distribution with rate λt, where t is

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-17 19 55 91 127 163

36 36 36 36 36

6^2 6^2 6^2 6^2 6^2

It's a second degree sequence

The arc length of the circle with a 6-inch radius and a central angle of 65 degrees is approximately 6.81 inches.

To find the arc length of a circle with a radius of 6 inches and a central angle of 65 degrees, we can use the formula:

Arc Length \(= (\theta /360) \times (2 \times \pi \times r)\)

where θ is the central angle in degrees,

r is the radius of the circle,

and π is the mathematical constant  (approximately 3.14).

Substituting the given values into the formula:

Arc Length \(= (65/360) \times (2 \times 3.14 \times 6)\)

Simplifying the equation:

Arc Length \(= (0.1806) \times (37.68)\)

Arc Length ≈ 6.805 inches.

Rounding the answer to the nearest hundredth, we have:

Arc Length ≈ 6.81 inches

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Answer:.

Answer:1.we have dividend =divisor*quotient+remainder=

(x²+2x-1)(x²-2x+1)+(-4x+1)

=x²(x²-2x+1)+2x(x²-2x+1)-1(x²-2x+1)-4x+1

=x⁴-2x³+x²+2x³-4x²+2x-x²+2x-1-4x+1

=x⁴-4x²

Dividend is x⁴-4x².

2.

Multiplier is a-a²+1.

Answer:

\(i \: hope \: the \: above \: picture \\ helps\)

\(have \: a \: nice \: day \: \)

\(#Liliflim\)

Answer:

(4 ± 2\(\sqrt{22} \)) ÷ 4

Step-by-step explanation:

i changed equation to be 2x² - 4x - 9 = 0

i used the quadratic formula:  (-b ± \(\sqrt{b^2-4ac} \)) ÷ 2a

where:

a = 2

b = -4

c = -9

Answer:

q^12

Step-by-step explanation:

(q^6)^2

using the power of power rule  we can multiply the exponents

q^6^2 = q^ (6*2) = q^ 12

Answer:

Step-by-step explanation:

height of post ÷ length of shadow = 2/10 = ⅕

height of tower is ⅕ the length of its shadow.

⅕×125 = 25

The tower is 25 feet tall

Answer:

x=70

Step-by-step explanation:

If we extend the lines we can create an imaginary angle that is directly vertically opposite angle x (see picture for visualisation).

Then, using the rule that alternate interior angles are equal, we can deduct that this new angle is 30+40=70 degrees.

Finally, we know that vertically opposite angles are also equal meaning that x=70 degrees.

Hope this helped!

Answer:

Rational numbers are; A, E, F, I

Integers are; H and D

Whole numbers are J and B

Natural numbers is G

Please find attached the location of the letters on the real number system

Step-by-step explanation:

Rational numbers are numbers that can be expressed as the ratio, a/b, of two numbers as a/b where a and b are integers

Integers are the negative and positive whole numbers

Whole numbers are the positive counting numbers from 0 and above

Natural numbers are the positive counting  numbers, sometimes including 0.

Answer:

b

Step-by-step explanation:

i think it b! your welcome

The new dimensions of the garden are 8 feet and 7 feet.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

The length of rectangular garden = 5 feet,

And the width of rectangular garden = 4 feet.

The area of rectangular garden = 5 x 4 = 10 square feet.

Let the length and width are increased by x feet, to make the new area 56 square feet.

The new length = 5 + x,

and new width = 4 + x.

The area = 56

(5 + x) × (4 + x) = 56

Substitute, x= 3 which satisfies the equation,

So, the new length of garden = 5 + 3 = 8 feet,

And the new width of garden = 4 + 3 = 7 feet.

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Answer:

about $0.13

Step-by-step explanation:

Answer:

13 cents

Step-by-step explanation:

1.59 divided by 12

Answer:

28/4=7

Step-by-step explanation:

Divide 4 by 28 and you get 7

The inverse of the transpose of matrix A is equal to the transpose of the inverse of matrix A.

To verify that the inverse of A transpose (A^T) is equal to the transpose of the inverse of A (A^-1), we can use the multiplication rule for transposes, which states that (CD)^T = D^T * C^T.

Let's assume that A is an invertible matrix. We want to show that (A^T)^-1 = (A^-1)^T.

First, let's take the inverse of A^T:

(A^T)^-1 * A^T = I,

where I is the identity matrix.

Now, let's take the transpose of both sides:

(A^T)^T * (A^T)^-1 = I^T.

Simplifying the equation:

A^-1 * (A^T)^T = I.

Since the transpose of a transpose is the original matrix, we have:

A^-1 * A^T = I.

Now, let's take the transpose of both sides:

(A^-1 * A^T)^T = I^T.

Using the multiplication rule for transposes, we have:

(A^T)^T * (A^-1)^T = I.

Again, since the transpose of a transpose is the original matrix, we get:

A * (A^-1)^T = I.

Now, let's take the transpose of both sides:

(A * (A^-1)^T)^T = I^T.

Using the multiplication rule for transposes, we have:

((A^-1)^T)^T * A^T = I.

Simplifying further, we get:

A^-1 * A^T = I.

Comparing this with the earlier equation, we see that they are identical. Therefore, we have verified that the inverse of A transpose (A^T) is equal to the transpose of the inverse of A (A^-1).

In conclusion, (A^T)^-1 = (A^-1)^T.

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Answer:

  (X_1, X_2) = (2, 4)

  Z = 110

Step-by-step explanation:

You want a graphical solution to ...

  minimize Z = 15 X_1 +20 X_2

  subject to ...

A graph of the reverse of the inequalities is attached. This makes the feasible solution region be white (rather than shaded multiple times), so its vertices are easier to see. (The dashed lines are part of the solution space.)

The vertex of the solution space that minimized the objective function is (X_1, X_2) = (2, 4). The minimum value of Z is 110.

The two widely used metrics of variation are the coefficient of variation (CV) and the standard deviation (SD).

Coefficient of variation (CV) is a measure of relative variation and is often used to compare variation between populations or groups with different means. It is calculated as the ratio of the standard deviation to the mean, multiplied by 100 to express the result as a percentage. It's a dimensionless value, which means it can be used to compare the variation of different variables that are measured in different units.

Standard deviation (SD) is a measure of the amount of variation or dispersion of a set of values. It is calculated as the square root of the variance, which is the average of the squared differences from the mean. Standard deviation is a measure of absolute variation and is typically used to describe the spread of data within a single population or group.

Both of these metrics are important in understanding the variation within a population, with the CV being useful in comparing different groups and SD being used to describe the spread of data within a single group.

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For a sequence \(log_{12} (162), log_{12} (x), log_{12}(y) , log_{12}(z) , log_{12}(1250)\) of arithmetic progression, the value of x is 270.

Given sequence;

\(log_{12} (162), log_{12} (x), log_{12}(y) , log_{12}(z) , log_{12}(1250)\)

The given sequence is an arithmetic progression,

\(log_{12} (162)+4d = log_{12}(1250)\)

Here, d is a common difference;

\(4d = log_{12}(1250)-log_{12} (162)\)

    \(= log_{12}(1250/162)\)

\(d =\frac{1}{4} [log_{12}(1250/162)]\)

\(d = log_{12}(1250/162)^1^/^4\)

As we know the value of d we now need to add it to the first term to find x;

⇒ \(log_{12}(162)+ log_{12}(1250/162)^1^/^4\)

  x = \((162)(1250/162)^1^/^4\)

  x = 270

Hence, the value of x is 270.

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Answer:

9

Solving steps:

=> 6÷2(1+2)

divide 6 by 2

=> 3(1+2)

add values inside the bracket

=> 3(3)

multiply 3 by 3

=> 9

Answer:

9

Step-by-step explanation:

Use parenthesis, exponents, multiplication, division, addition, and subtraction, witch stands for PEMDAS.

1. 1+2 is the first step, since it is in the parenthesis. This gives you 3

2. You do 6÷2, since that is the next step. Since the operations are from left to right  , you move on the next step, witch is divison. This also gives you 3.

3. You do the final step, witch is to multiply, so you do 3 x 3 , witch gives you 9.

Answer:

\(let \: the \: percentage \: be \: x \\ therfore \: x\%of \: 20 = 12 \\ \frac{x}{100} \times 20 = 12 \\ \frac{x}{5} = 12 \\ x = 12 \times 5 \\ x = 60\%\)

hope it will help you

Answer:

A

Step-by-step explanation:

tank 2 goes down by a constant difference : -40

(a) At 4pm, the rate is (130-70)/(4-2) = 30 entries/hour. (b) The trapezoidal sum approximates E(8) = 700 entries. (c) According to the model, 600 entries had not been processed by midnight. (d) The entries were being processed most quickly at 8pm, when p(8) = 60 entries/hour.

(a) At 4pm, the rate is (130-70)/(4-2) = 30 entries/hour.

(b) The trapezoidal sum is

E(8) = (50 + 70 + 110 + 130)/4 = 700/4

= 175.

E(8)=700 entries.

(c) According to the model, p(8) = 60 entries/hour. Since 8pm to midnight is 4 hours, the number of entries that had not been processed by midnight is 60*4 = 240 entries.

(d) The entries were being processed most quickly at 8pm, when p(8) = 60 entries/hour At 4pm, the rate of entry deposits was approximated by calculating the change in the number of entries over the change in the time, which was (130-70)/(4-2) = 30 entries/hour. Using a trapezoidal sum with four subintervals given by the table, E(8) was approximated to be 700 entries. According to the model, p(8) = 60 entries/hour, so the number of entries that had not been processed by midnight was 60*4 = 240 entries. The entries were being processed most quickly at 8pm, when p(8) = 60 entries/hour.

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Answer: 1. -212.13 < 146.22

2. Sofia‘s checking account has a lower account value in her savings account

Step-by-step explanation: Your welcome

Answer:

B

Step-by-step explanation:

:)

Answer:

The Eastern Continental Trail is 5,376 miles and the Erie Canalway Trail is 384 miles

Step-by-step explanation:

I took 5,760 divided it by 15 and got 384, I then subtracted 5,760 by 384 and got 5,376

Answer:

A' (-1,2), B' (-5,-3), C' (3,2)

Step-by-step explanation:

Reflect triangle ABC across the y-axis.

Ry-axis: (x,y) → (-x,y)

A (1,2) → A' (-1,2)

B (5,-3) → B' (-5,-3)

C (-3,2) → C' (3,2)

I hope this helps :)

Answer:

this the season to be jolly falalalalaaaa la la la la