The equation of the graphed line is x+2y=5. What is the x-intercept of the graph?

The probabilities of having 0, 1, 2, and 3 access lines in use are approximately 0.000048, 0.001636, 0.011072, and 0.047368, respectively. These probabilities are calculated using the Poisson distribution formula based on the given mean arrival rate of 34 calls per hour and a service rate of 18 calls per hour.

To determine the probabilities of having 0, 1, 2, and 3 access lines in use, we can use the Poisson distribution formula. Given a mean arrival rate of 34 calls per hour and a service rate of 18 calls per hour, we can calculate the probabilities as follows:

For 0 access lines in use, the probability can be calculated using the formula \(P(X = 0) = \frac {e^{-\lambda} * \lambda^0}{0!}\) where λ is the mean arrival rate. Substituting the values, we have \(P(X = 0) = e^{-34} * (34^0) / 0! = 0.000048\).

Similarly, for 1, 2, and 3 access lines in use, we can calculate the probabilities using the same formula. The probabilities are:

\(P(X = 1) = e^{-34} * (34^1) / 1! = 0.001636\)
\(P(X = 2) = e^{-34} * (34^2) / 2! = 0.011072\)
\(P(X = 3) = e^{-34} * (34^3) / 3! = 0.047368\)

Therefore, the probabilities of having 0, 1, 2, and 3 access lines in use are approximately 0.000048, 0.001636, 0.011072, and 0.047368, respectively.

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The values of a and b that make the equation true are a = 4 and b = -45.

Let's simplify the equation first and then determine the values of a and b.

The given equation is: \(\[(4 + \sqrt{-49}) - 2(\sqrt{-4^2} + \sqrt{-324}) = a + bi\]\)

We notice that the terms inside the square roots result in complex numbers because they involve the square root of negative numbers. Therefore, we'll use complex numbers to simplify the equation.

\(\(\sqrt{-49} = \sqrt{49 \cdot -1} = \sqrt{49} \cdot \sqrt{-1} = 7i\)\(\sqrt{(-4)^2} = \sqrt{16 \cdot -1} = \sqrt{16} \cdot \sqrt{-1} = 4i\)\(\sqrt{-324} = \sqrt{324 \cdot -1} = \sqrt{324} \cdot \sqrt{-1} = 18i\)\)

Now, substituting these values back into the equation:

(4 + 7i) - 2(4i + 18i) = a + bi

Simplifying further:

4 + 7i - 8i - 36i = a + bi

4 - i(1 + 8 + 36) = a + bi

4 - 45i = a + bi

Comparing the real and imaginary parts, we can determine the values of a and b:

a = 4

b = -45

Therefore, the values of a and b that make the equation true are a = 4 and b = -45.

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The given expression is a linear monomial since there is only one term.

A monomial in mathematics is essentially a polynomial with only one component. There are two possible meanings of a monomial: A monomial, also known as a power product, is a product of variables, potentially with repetitions, and powers of variables with nonnegative integer exponents.

Algebraic formulas called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can perform arithmetic procedures like addition, subtraction, multiplication, and positive integer exponents but not division by variables.

The Greek words "polynomial" and "nominal" are the origins of the word polynomial, which is translated as "many terms" when combined. There is no limit to the number of elements that can exist in a polynomial. In this essay, we will study the degrees, terms, types, properties, and polynomial functions.

In the given expression, -9m, there is only 1 term and the exponent of the variable x is also 1. Hence, the answer is option D) Linear monomial.

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Question: Which of the following terms describes the -9m?

A) linear trinomial

B) constant binomial

C) quartic trinomial

D) linear monomial

Answer:

50

Step-by-step explanation:

2x+40=140

2x=140-40

2x=100

x=100/2

x=50

Answer:

Measure of the side opposite to the angle measuring 33° is 9.37 unit

Step-by-step explanation:

If a, b and c are the sides of a triangle,

And 'a' = 8

b = 15

Measure of the Included angle C = 33°

By applying cosine rule in the given triangle,

c² = a² + b² - 2abcos(C)

c² = 8² + (15)² - 2(8)(15)cos(33°)

   = 64 + 225 - 201.28

   = 87.72

c = √87.72

c = 9.266

  ≈ 9.27

Therefore, measure of the side opposite to the angle measuring 33° is 9.37 units

Answer:

umm maybe its 36 mi

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

One foot would have 3 1/3 pieces (because 3 * 1/3 = 1) so that means 5 would have 15 pieces (because 3 * 5 = 15)

The like terms in the expression are, 2x, 3x, and 9x.

What is like terms?

Like words in algebra are those that share the same variables and powers. It is not required that the coefficients line up. Contrary terms are two or more terms that do not share the same variables or powers, making them different terms. Unless there is a power, the order of the variables is irrelevant.

Consider, the given expression

2x - 8y + 3x - 2h + 9x + 3p

In this expression there are four variables, x, y, h and p.

The x variable having three terms with same power.

Since, if the variables having same power, then the terms are like terms.

Here, 2x, 3x and 9x having same power 1.

So, these terms are like terms.

Hence, the like terms in the expression are, 2x, 3x and 9x.

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Using the Lagrange method, the optimal choice is therefore (x1, x2) = (20/9, 4/3).

The optimal choice when pı = 3, P2 = 5 and I = 20 and utility is u(x1, x2) = min{2x1, x2} can be found using the Lagrange method .Lagrange method: This method involves formulating a function (the Lagrange function) which should be optimized with constraints, i.e. the optimal result should be produced while adhering to the constraints provided. The Lagrange function is given by: L(x1, x2, λ) = u(x1, x2) - λ(I - p1x1 - p2x2)

Where L is the Lagrange function, λ is the Lagrange multiplier, I is the budget, p1 is the price of good 1, p2 is the price of good 2.The optimal choice can be determined by the partial derivatives of L with respect to x1, x2, and λ, and setting them to zero to get the critical points. Then, the second partial derivative test is used to determine if the critical points are maxima, minima, or saddle points. The critical points of the Lagrange function L are:

∂L/∂x1 = 2λ - 2p1 = 0 ∂L/∂x2 = λ - p2 = 0 ∂L/∂λ = I - p1x1 - p2x2 = 0

Substitute the first equation into the second equation to get:λ = p2,2λ = 2p1 ⇒ p2 = 2p1,

Substitute the first two equations into the third equation to get: x1 = I/3p1,x2 = I/5p2

Substitute p2 = 2p1 into the above to get:x1 = I/3p1,x2 = I/10p1.Substitute the values of p1, p2 and I into the above to get:x1 = 20/9,x2 = 4/3.The optimal choice is therefore (x1, x2) = (20/9, 4/3).

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Answer:

a way to not find the answer is to do anything but divide 9 by 16

Step-by-step explanation:

hope this helps, brainliest appreciated :)

Answer:

1000

Step-by-step explanation:

Answer:

24

Step-by-step explanation:4x6

Answer:

24

Step-by-step explanation:

The simplified equation is 24x^2 - 9. However, since the equation contains the variable x, we cannot find a numerical value for this expression without knowing the value of x.

Solve the equation within the parentheses first.

24x2 - (8+16) ÷ (8-6)

= 48 - 24 ÷ 2

= 48 - 12

= 36

Now we need to get to 39. To do this, we need to add 3.

So the equation becomes:

36 + 3

= 39

So the steps to getting 39 out of this equation are:

1. Simplify the equation using the order of operations.

2. Subtract the result from 39 to determine how much we need to add.

3. Add that amount to the result to get 39.

Given equation: 24x^2 - (8+16) / 8 - 6

Step 1: Solve the equation within the parentheses first.
8 + 16 = 24

Now the equation becomes: 24x^2 - 24 / 8 - 6

Step 2: Perform the division.
24 / 8 = 3

Now the equation becomes: 24x^2 - 3 - 6

Step 3: Perform the subtraction.
24x^2 - 3 - 6 = 24x^2 - 9

The simplified equation is 24x^2 - 9. However, since the equation contains the variable x, we cannot find a numerical value for this expression without knowing the value of x.

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Answer:

  √330

Step-by-step explanation:

The product of radicals is the radical of the product.

  (√6)(√11)(√5) = √(6·11·5) = √330

__

This cannot be simplified, because there are no square factors.

Answer:

a) Domain 0 ≤ x ≤ 4

B) Range 0 ≤y ≤ 2

C) 1.5 hours.

Sorry, I do not know what they are looking for in the blank

Step-by-step explanation:

The domain is the x values.  If you look at the numbers on the horizontal axis.  It starts at zero and goes to 4.

The range is the y values.  If you look at the number on the vertical axis.  It starts at zero and goes to 2.

He is not moving when you see the flat, horizontal lines.  That is from (1,2) to (2,2)  That is a time of 1 hour.  The x values tell us the time.  The y tells us the distance.  There is also no movement at  (3, .5)  and (3.5, .5)  
This is half of an hour.  The total would be 1.5 hours.

If you choose to invest in a weighted blanket to ease anxiety and facilitate sleep, you should choose one that weighs around 10 percent of your body weight.

Weighted blankets are designed to provide a calming and soothing effect on the body, which helps to reduce anxiety and improve sleep quality. The general rule of thumb for selecting the right weight for your blanket is to choose one that is around 10% of your body weight.

For instance, if you weigh 150 pounds, then a 15-pound weighted blanket would be appropriate. However, this is not a hard and fast rule, and individual preferences may vary. It's always best to consult with your doctor or therapist before investing in a weighted blanket to ensure it's a safe and effective option for you.

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Answer:

B

Step-by-step explanation:

1: they didnt mention that its just for a year.

2: the money source cant just be from them.

Answer:

15

Step-by-step explanation:

you have to take 98 away from 113.

Answer:

X= 15

Step-by-step explanation:

Answer:

i think 1 but I am not sure

Step-by-step explanation:

the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

  ln(y) = ln((ln(x + 4))x)

Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:

  ln(y) = x ln(ln(x + 4))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

  (1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))

Step 4: Simplify the expression on the right-hand side:

  y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:

  y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

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Answer: 15

Step-by-step explanation:

223 / 26

8 reminder 15

he has to put the remainder in the box

The the function to estimate the average age of employee of a company is A(s)=0.285s + 59  , then the average age of employee in 2003 is 65.27 and in 2009 is 66.98

To estimate the average age of an employee in 2003, we need to find the value of A(s) when s = 22  ;

because the number of years between 2003 and 1981 is = 22 years ;

So , A(22) = 0.285×22 + 59 = 65.27  ;

The average age of an employee in 2003 is approximately 65.27.

To estimate the average age of an employee in 2009,

we need to find the value of A(s) when s = 28

because the number of years between 2009 and 1981 is = 28 years ;

So , A(28) = 0.285×28 + 59 = 66.98  ;

The Average age of employee in 2009 is approximately 71.48.

The given question is incomplete , the complete question is

The function​ A(s) given by ​A(s)=0.285s + 59  can be used to estimate the average age of employee of a company in the year 1981 to 2009. Let​ A(s) be the average age of an​ employee, and "s" be the number of year since​ 1981; that​ is, s=0 for 1981 and s=9 for 1990. What is the average age of the employee in 2003 and in​ 2009 ?

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Answer:

18ft

Step-by-step explanation:

Formula of circumference * r x r x 3.14* or d x 3.14*

:DDD And ye glad I could help!

As the given condition in the question for the number of  right angles to be the minimum, the correct answer would be 'zero'.

A right angles are the type of angles whose measure is equal to 90 degrees. Every 90 degree angle is simply named as right angle since they have some significant role in geometry.

Some of the types of angles in mathematics are:

The minimum number of right angles there can be in a shape actually depends on a shape, considering all the shapes to define the minimum, there can be a condition where there are no right angles. For example, in a straight line.(180 degrees)

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e) The test statistic and P-value for the chi-square test of homogeneity would be -1.75 and 0.004, respectively.

A chi-square test of homogeneity is a useful tool for comparing two or more categorical variables. In this case, the two variables are smoking (smokers and non-smokers) and alcohol consumption (those who had consumed alcohol in the past week and those who hadn't).

The chi-square statistic is calculated by finding the difference between the observed and expected frequencies of the two groups and squaring it. The expected frequencies are found by multiplying the sample size by the overall probability of success (in this case, drinking alcohol).

The P-value is then calculated based on the chi-square statistic and the degrees of freedom (in this case, one). In this case, the chi-square statistic is -1.75 and the P-value is 0.004.

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Answer:

5.9

Step-by-step explanation:

The distance between a point A and a point B is A-B.  (4.5) - (-1.4) is the same as 4.5 + 1.4 so your answer is 5.9

Answer:

Step-by-steDistance between

(

−

4.5

,

−

4.5

)

and  

(

3.5

,

3.5

)

 is

8

√

2p explanation:

Hence distance between

(

−

4.5

,

−

4.5

)

and

(

3.5

,

3.5

)

is given by

√

(

3.5

−

(

−

4.5

)

)

2

+

(

3.5

−

(

−

4.5

)

)

2

=

√

8

2

+

8

2

=

√

64

+

64

=

√

128

=

√

8

2

×

2

=

8

√

2

Answer:

r = 59

Step-by-step explanation:

59 + r = 118

59 + r - 59 = 118 - 59

r = 59

Since 59 is being added to r, and you want r alone, you must subtract 59 from the left side of the equation. The rule is that you must do the same operation to both sides of the equation. Therefore, to solve for r, subtract 59 from both sides of the equation.

The probability that their average age is between 90 & 100 months is 0.245.

We must determine z for each number to determine the likelihood that the group's mean age is between 90 & 100 months.

Z = (x – mean) ÷ standard deviation

Let x is the average age of a vehicle

Z1 = (90 – 96) ÷ 16 = -0.375

Z2 = (100 – 96) ÷ 16 =  0.25

The area under the curve is then determined using the z table.

Z1 area equals 0.354

Z2 area of 0.599

To calculate the likelihood that the group's mean lifespan is between 90 & 100 months, apply the following formula:

0.599 – 0.354 = 0.245

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Answer:

The height of the kite is approximately 278.6 feet

Step-by-step explanation:

The length of Jason's Kite string, l = 325 feet

The angle of elevation of the kite string, θ = 58°

The height of Jason's hand, h = 3 feet above the ground

Therefore, we have;

The height of the kite = The vertical component of the length of the kite string + The height of Jason's hand above the ground

The height of the kite = l × sin(θ) + h

Substituting the values, we get

The height of the kite = 325 × sin(58°) + 3 ≈ 278.6 (which is obtained by rounding the answer to the nearest tenth)

The height of the kite ≈ 278.6 feet.

Answer:

Last statement is the true one: AH congruent with AB

Step-by-step explanation:

Since the FG is congruent with KC, then the central angles defined by this chords are the same. and since the segments AH and AB are perpendicular to the segments GF and KC respectively (intersecting them at exactly half of their length), they form right angle triangles of which the hypotenuse is the actual radius of the circle, one of the legs of these triangles is half of the segments GF and KC of equal length. Then the third legs of those right angle triangles (AH and AB) must be equal as well.