If you reflected the point (x, y) over the line y = x, what would it become?

Answer:

(x+2)(x+1)(4x+1)(4x-3)

Step-by-step explanation:

(4x² + 5x)² - 5(4x² +5x) - 6

= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6

= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)

= (4x²+5x-6)(4x²+5x+1)

= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)

= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))

= (x+2)(4x-3)(x+1)(4x+1)

Answer:

7 years old

Step-by-step explanation:

36=3x+15

x=21/3=7

Answer:

X = 7

Step-by-step explanation:

nephew ---- x

Kim ------ 3x + 15

3x+15 = 36

3x = 36-15

3x = 21

x = 7

Answer:

true

Step-by-step explanation:

because there's less humidity

The number of ounces of jam that all of the jar can hold is about  4 large jars and 2 small jars.

A matrix represents a mathematical entity or characteristic through a table or array of expressions, numbers, or symbols arranged in rows and columns.

So, from the given matrix in the question, one has to compare the equations, So we have:

l + 2s = 8    ...........(i)

l - s = 2      .............(ii)

Then do subtract the second equation from the first, to remove l

3s = 6

s = 2

So also substitute 2 for s in l - s = 2

l - 2 = 2

Then sum up the 2 to both sides

l = 4

Therefore, the number of ounces of jam that each jar can hold is about  4 large jars and 2 small jars.

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Answer:

Step-by-step explanation:

Equation

y = x^2 + 8x + 7                      Put brackets around the first two terms

y = (x^2 + 8x) + 7                    Take 1/2 the linear term's coefficient  (8)

8/2 = 4                                    Put this result inside the brackets and  square

y = (x^2 + 8x + 4^2) + 7          Take - 4^2 and add it to the seven.

y = (x^2 + 8x + 16) + 7 - 16       What you did, did not change the eqiuation

Y = (x^2 + 8x + 16) - 9              The first 3 terms make a perfect square

y = (x + 4)^2 - 9

The minimum should be at - 4,-9  Just to make sure it is, I'll graph the original equation. The y intercept should be at 7 and the two x roots should x = + 3 - 4 and x = -3 - 4. or x = -1 and x = - 7

Let's see if this all checks out.

Graph of original equation.

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

Option D

Step-by-step explanation:

By using geometric mean theorem in the given right triangle ABC,

\(\frac{AD}{BD}= \frac{BD}{DC}\)

BD² = AD × DC

h² = (AC - CD) × DC

h² = (25 - 16) × 16

h² = 9 × 16

h = \(\sqrt{144}\)

h = 12

Therefore, measure of side h = 12 units.

Option D will be the correct option.

Answer:

12 is correct via a p e x

The arrival rate is found to be 30 emails per hour and the service rate is calculated to be 45 emails per hour.

It has been mentioned in the question that in every 2 minutes, customers send emails to a help desk of an online retailer, on an average, and the standard deviation of the inter-arrival time is also given to be 2 minutes. The online retailer has three employees for answering those emails.

It takes almost 4 minutes to write a response email to the customer, on average. The standard deviation (SD) of the service times is 2 minutes. This is a g/g/k type queue.

Therefore the arrival rate per hour is given by the following relation:

Arrival rate in 1 hr = No. of minutes in an hr / inter arrival time of email taken in minutes

Given here,

No. of minutes in an hour = 60 minutes

Inter arrival time of the email taken in minutes = 2 minutes

∴ Arrival rate in 1 hr = 60 / 2

                                = 30 emails / hr

Hence the arrival rate is 30 emails per hour.

Now for finding out the service rate we have the following formula:

Service rate = No. of minutes in an hr x No. of employes answering/ average time that is required to write response email

Given here,

No. of minutes in an hr = 60 minutes

No. of employes answering = 3

Average time that for writing response email = 2 minutes

∴ Service rate = 60 * 3 / 4

                       = 45 emails / hr

Hence the service rate is 45 emails per hour.

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Given that pq=qr=rs=sp, what additional information is required to conclude that pqrs is a square?

In order to conclude that pqrs is a square, the additional information required is that the sides of the quadrilateral are perpendicular to each other (i.e. they form 90-degree angles).

We know that pq=qr=rs=sp, which means that all four sides of the quadrilateral are equal in length.

However, this information alone is not sufficient to conclude that pqrs is a square, as there are many other quadrilaterals that have all four sides equal in length.

For instance, a rectangle has all four sides equal in length, but its sides are not necessarily perpendicular to each other. Thus, we require the additional information that the sides of pqrs are perpendicular to each other in order to identify that pqrs is a square.

In conclusion, the additional information needed to conclude that pqrs is a square is that the sides of the quadrilateral are perpendicular to each other (i.e. they form 90-degree angles).

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This rate in lb/s is 833.33 lb/s if a large dump truck can move 1,500 tons/h of gravel from one point to another on a work site.

The term "ton-hour" refers to a cooling service that provides 12,000 BTU of cooling, measured as a function of the amount of chilled water that flows through the Energy Transfer Station, the temperature difference between the chilled water at the Delivery Point, and the Return Point and the total BTU gain that occurs.

The imperial and US customary systems of measurement both utilize the unit of mass known as the pound (symbol: lb). The precise weight of the international avoirdupois pound, or today's standard pound, is 0.45359237 kilos. 16 avoirdupois ounces make up an avoirdupois pound.

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Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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Answer:

Check the image below the explanation.

Step-by-step explanation:

Answer:

15.1 (rounded to the nearest tenth decimal point)

Step-by-step explanation:

The explanation is, this is simple maths, nothing else. Let me know if it helps. Thank you

Answer:

Step-by-step explanation: ???

Answer:

a quantity which during a calculation is assumed to  be capable of varying in value.

example: 4x-7=5

the variable is x

Step-by-step explanation:

hope that helps>3

Answer:

55

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The zeroes of the b(x) will be (5/4) and (-5/4).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution for the expression b(x) can be written as,

b(x)=16x²-25

b(x)= (4x)² - 5²

b(x)=(4x-5)(4x+5)

The zeroes of the b(x) will be (5/4) and (-5/4).

Hence, The zeroes of the b(x) will be (5/4) and (-5/4).

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answer : 25%

775 / 3100 were satisfied

to make this a percentage, you need to make the demoninator 100 : 3100/100=31

and then you divide the numerator by this : 775/31= 25

The rate of change of the angle of elevation is -2π/3 radians/second.

We can use the tangent ratio to solve this problem. Since the rope is attached to the boat, we can draw a right triangle with the rope as the hypotenuse. The angle of elevation is the angle formed by the rope and the horizon.

The pulley is 5 feet above the water level, so the length of the opposite side (the side adjacent to the angle) is 5 feet. The length of the hypotenuse is 12 feet, since the boat is 12 feet from the dock.

Using the tangent ratio, we can calculate the angle of elevation:

tan(θ) = opp/hyp = 5/12

θ = arctan(5/12) = 0.927 rad

Now, since the rope is being pulled in at 3 ft/sec, the length of the hypotenuse is decreasing at a rate of 3 ft/sec. Therefore, the rate of change of the angle of elevation is:

rate of change of θ = -(3 ft/sec) / (12 ft) = -2π/3 radians/second

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The derivative of f(x) = 12^x / (12^x + 6) is given by f'(x) = (12^x * ln(12) * (12^x + 6) - 12^x * ln(12) * 12^x) / (12^x + 6)^2.

To find the derivative, we can use the quotient rule. The quotient rule states that if we have a function of the form f(x) = g(x) / h(x), where g(x) and h(x) are both differentiable functions, then the derivative of f(x) is given by f'(x) = (g'(x) * h(x) - g(x) * h'(x)) / h(x)^2.

In this case, g(x) = 12^x and h(x) = 12^x + 6. Taking the derivative of g(x) with respect to x gives g'(x) = 12^x * ln(12), and the derivative of h(x) with respect to x is h'(x) = 12^x * ln(12). Substituting these values into the quotient rule formula, we can simplify to obtain the expression for f'(x) as mentioned above.

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Since 3 has the highest frequency, the mode is 3.Now, the curve is positively skewed if mean is bigger than mean.

Total number is a term used to refer to the sum of two or more individual elements. It is commonly used in the context of mathematics and can refer to the result of addition, subtraction, multiplication, or division. For example, the total number of apples in a basket could be five, the total number of days in a week could be seven, and the total number of people in a family could be four. In any case, the total number is the sum of all the individual elements that are being considered.

Presented to us is a distribution:

{4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}

We must determine the mean.

Mean is equal to the sum of all observations divided by the total number of observations.

Mean = 52/16

Mean = 3.25

We now determine the mode, which is the observation with the highest frequency, or how frequently it has occurred.

observations per unit of time

4.5 2

3 4

1 2

2 3

4 3

6 1

5 1

Since 3 has the highest frequency, the mode is 3.
Now, the curve is positively skewed if mean is bigger than mean.

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Complete questions as follows-
What is the mean of the given distribution, and which type of skew does it exhibit?
{4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}

WHAT IS THE MEAN? and WHAT TYPE OF SKEW EXHIBITS? negative, positive, symmetric, zero etc..

Answer:

Step-by-step explanation:

6.5 + w = 20

13.5 km

Answer:

C first then for second one is b

Step-by-step explanation:

I just did the assignment

Answer:

The last one.Because the experimental probability is 11 ÷ 50, which is 22%, and the theoretical probability is 1 ÷ 8, which is 12.5%

Answer:

We do not see the image

Step-by-step explanation:

Answer:

You didn't show the graph below so we can't answer the question.

To evaluate the expression, we need to use the binomial distribution formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where:

- n is the sample size (10 individuals in this case)
- k is the number of individuals who have consumed alcohol (5 in this case)
- p is the probability of an individual consuming alcohol, which is 0.6 according to the problem

If you provide the value of p, I can help you calculate the probability.

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Answer:

Step-by-step explanation:

The quadratic formula = (- b ± √b² - 4ac) / 2a

Plug in values:

((4) ± √(-4)² - 4(-5)(2)) / 2(-5)

Simplify:

((4) ± √(-4)² - 4(-10)) / 2(-5)

((4) ± √16 + 40) / 2(-5)

((4) ± √56) / -10

x = -2/5 ± (-1/10)√56

x ≈ -1.1483 and 0.3483

Hope this helps!

Without the form of the recurrence relation, we cannot determine the power of its closed form from the given terms.  

To determine the power of the closed form of the recurrence relation, we can examine the pattern in the given terms.

Looking at the sequence 5, 2, 17, 30, 245, 590, 1217, we can observe that the terms seem to be increasing at an exponential rate. Taking a closer look, we can see that each term can be obtained by multiplying the previous term by a certain number and then adding another number.

If we calculate the ratios between consecutive terms, we get the following:

2/5 = 0.4

17/2 = 8.5

30/17 = 1.76

245/30 = 8.17

590/245 = 2.41

1217/590 = 2.06

From these ratios, we can see that the terms are not growing at a consistent exponential rate. Therefore, it is unlikely that the recurrence relation has a closed form expression that follows a simple power relationship.

In conclusion, the power of the closed form of the recurrence relation cannot be determined based on the given terms.

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