Which TWO statements represent the relationship between y = 5x and y = log5 x The are the exponential and logarithmic form of the same equation They are symmetrix over the line y=0 They are symmetric over the line y=x They are inverses of one another​

Answer:

-3/2

Step-by-step explanation:

Answer:

answer is b juicy how to do it

The question presents a scenario where a fish is hovering at a certain depth below sea level, and then descends at a certain rate for a certain duration. So, Brenda is correct because her answer represents the new position of the fish in relation to sea level after the descent.

Brenda has provided an equation that represents the new position of the fish in relation to sea level after the descent. The equation is 2 times 8 + (negative 320) = 336. To determine if Brenda is correct, we need to understand the meaning of each term in the equation. The first term, 2 times 8, represents the distance the fish has descended, which is 16 feet (2 feet per second for 8 seconds).

The second term, negative 320, represents the initial depth of the fish below sea level. When we add these two terms together, we get the new depth of the fish below sea level, which is 336 feet.

Therefore, Brenda is correct because her answer represents the new position of the fish in relation to sea level after the descent. It is important to understand the meaning of each term in an equation to correctly interpret its result.

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Answer:

1/3

Step-by-step explanation:

I assume that 2/5 and -7/5 are exponents.

3^(2/5) × 3^(-7/5) = 3^(2/5 + (-7/5)) = 3^(-5/5) = 3^(-1) = 1/3

Answer: 136/5

Step-by-step explanation: First simplify the fraction

1) 3 2/5 = 17/5

3 multiply by 5 and add 5 into it.

2) 3(-7/5) = 8/5

3 multiply by 5 and add _7 in it.

By multiplication of 2 fractions,

17/5 multiply 8/5 = 136/5

=136/5

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The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.

For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

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Answer:

the answer is 22

Step-by-step explanation:

Answer:ion run it

Step-by-step explanation:

BUM

The next step in construction of an equilateral triangle is;

C. Use a straightedge to draw a diameter of the circle.

An equilateral triangle is defined as a triangle that has its' 3 sides equal and three interior angles equal.

Now, the steps to construct an equilateral triangle by hand are;

1. Place your compass point on a paper and draw a circle, O.

2. Use a straightedge, to draw a diameter of the circle, labeling the endpoints P and B.

3. Without changing the span on the compass, place the compass point on P and draw a full circle.

4. Label the points of intersection of the two circle circumferences with A and C.

5. Draw segments from A to B, B to C and C to A, to form the equilateral triangle.

Thus, we see that after drawing the circle, the next point is to Use a straightedge to draw a diameter of the circle.

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Answer:

The rental fee is 25

Step-by-step explanation:

Total cost = rental fee plus cost per hours * number hours

t = f + 8*h  where t = total cost, f = rental fee, h = hours

73 = f + 8*6

73 = f+ 48

Subtract 48 from each side

73 - 48 = f+48-48

25 = f

The rental fee is 25

Answer:

x= -2 y= -1

Step-by-step explanation:

To solve by Substitution you would make this equation equal to each other x+1=3x+5 from there you would solve for x subtract x on both sides. and subtracting 5 from both sides 2x= -4 then divide by 2 to get x by itself x=-2 since we now found what the value of x is you can now plug in x into one of the origunal equations and get your answer for y which is y=-1

Answer:

\(8\frac{3}{4} \\ \)

Step-by-step explanation:

\( \frac{ {w}^{2} + 5 + 40}{2x} \\ \frac{ {5}^{2} + 5 + 40 }{2(4)} \\ \frac{25 + 5 + 40}{8} \\ \frac{70}{8} = 8\frac{3}{4} \\ \)

The number of times grey will come is 70.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that if a marble is Chosen 150 times, The number of times would you expect a grey marble will be calculated as:-

Probability = 28 / 60

Probability = 0.47

The number of times grey marble is chosen ;-

Number = 0.46 x 150

Number = 70

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We would expect gray marbles to be 70.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

From the table,

Out of 60 times,

White marbles = 20

Gray marbles = 28

Black marbles = 12

Percentage of white marbles picked.

= 20/60 x 100

= 33.33 %

Percentage of gray marbles picked.

= 28/60 x 100

= 46.66 %

Percentage of black marbles picked.

= 12/60 x 100

= 20 %

Now,

Out of 150 times.

White marbles.

=  33.33% of 150

= 1/3 x 150

= 50

Gray marbles.

= 46.66% of 150

= 7/15 x 150

= 7 x 10

= 70

Black marbles.

= 20% of 150

= 1/5 x 150

= 30

Thus,

White marbles = 50

Gray marbles = 70

Black marbles = 30

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Answer:123445

Step-by-step explanation: sorry I need to answer a question to get a free answer so sorry

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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The amount Amy is expected to pay on rent and utilities each year is $15,600. (Option D)

Rent and utilities refer to the amount paid each month for utilization of accommodation and for utility services which are products, services and equipment related to energy, telecommunications, water, and sewerage respectively.

Based on the information provided in the salary analysis table, Amy’s monthly rent and utilities are:

Total = Amy’s Rent + Amy’s Utilities = $1100 + $200 = $1300

As there are 12 months in a year, the yearly total is:

Total = $1300 x 12 = $15,600

Hence, the amount Amy is expected to pay on rent and utilities each year is $15,600.

Note: The question is incomplete. The complete question probably is Amy is analyzing a job offer. How much should she expect to pay on rent and utilities each year? A) $1,300 B) $2,400 C) $13,200 D) $15,600.

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The value of the variable 'x' using the external angle theorem will be 84°.

The polygonal form of a triangle has a number of flanks and three independent variables. Angles in the triangle add up to 180°.

The exterior angle of a triangle is practically always equivalent to the accumulation of the interior and opposing interior angles. The term "external angle property" refers to this segment.

The graph is completed and given below.

By the external angle theorem, the equation is given as,

x + 180° - 154° + 180° - 110° = 180°

x + 26° + 70° = 180°

x + 96° = 180°

x = 84°

The value of the variable 'x' using the external angle theorem will be 84°.

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Answer: 3 & 18

Step-by-step explanation:

x+6x = 21

7x=21

x=21/7

x= 3

21-3 = 18

so 3 and 18

1.a-6=13

a-6+6=13+6

a=19

2. x+4=-14

x+4-4=-14-4

x= –18

3.-10.1=w+5.3

-10.1-5.3=w+5.5-5.3

w= -15.4

4.-9.3=d- 3.4

-9.3+3.4=d -3.4 +3.4

d=-9.3+3.4

d= -5.9

5.q+5/9=5/6

q+5/9-5/9=5/6-5/9

q=5/18

Answer:

7 fewer than the number s is s-7

Answer: 7 fewer than a number s = s-7

Step-by-step explanation:

take away 7 from s

For each of the four curves given, we need to find all the points on the curve, determine the possible orders of the points, and provide an example of each order. The curves are defined by equations of the form y^2 = x^3 + ax + b (mod 19), where p = 19, and the values of a and b are provided.

1. For the curve defined by y^2 = x^3 + x + 5 (mod 19), we need to find all the points on the curve, determine their orders, and provide an example of each order. This involves solving the equation for each value of x from 0 to 18, and checking if the resulting y is a square modulo 19. The points, their orders, and examples of each order will be listed.

2. Similarly, for the curve defined by y^2 = x^3 + x + 14 (mod 19), we repeat the same process of finding the points, determining their orders, and providing examples of each order.

3. For the curve defined by y^2 = x^3 + 2x + 10 (mod 19), we again find the points, determine their orders, and provide examples of each order.

4. Finally, for the curve defined by y^2 = x^3 + 2x + 18 (mod 19), we follow the same procedure to find the points, determine their orders, and provide examples of each order.

By analyzing the equations and finding the points, their orders, and examples of each order for each curve, we can fully understand the properties and structure of the curves in terms of their points and orders.

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After then, there must be some closed interval A between 0 and 1 such that x is less than A. As a result, x must fall between 0 and 1, as was intended.

This is further explained below.

Generally, Let A represents the set of all of the closed intervals that are included in (0, 1). Our contention is that A = (0, 1). To demonstrate this, let's begin by demonstrating that the left-hand side contains the right-hand side in its entirety.

Let x ∈ (0, 1). Our goal is to demonstrate that there is at least one A A such that x A. We may define A to be the closed interval [x, x] that contains the single point x. Alternatively, if you don't wish to state that a point is an interval, we can take A to be something like [x/2, x] or [x/2, (x + 1)/2] as an alternative.

In conclusion, because x > A > A, we may deduce that x > A A A. Now we will perform the confinement in the other direction. Let's say that x > AA A.

If this is the case, there must be some closed interval A between 0 and 1 such that x falls inside A. Therefore, x should be between 0 and 1, as required.

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Answers 1: = ⅔ y + 4

2. x - y = 8

3. numb.

4. x = ⅓ y + 1

5. x = 2y - 2

1)The pdf of U is f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

2)U follows a gamma-distribution with parameter a = 3/2 or a = 1/2.

3)x = (y²/2) and dx = y dy using exponential distribution

We can rewrite the integral as:

I(1/2) = ∫₀^∞ y exp(-y²) dy

       = 1/2 ∫₀^∞ exp(-u/2) du

This is the same as the integral for f(u) when u = 1/2.

Therefore, we have:

I(1/2) = V1

(1) For U = Z², we can use the method of transformations.

Let g(z) be the transformation function such that

U = g(Z)

   = Z².

Then, the inverse function of g is given by h(u) = ±√u.

Thus, we can apply the transformation theorem as follows:

f(u) = |h'(u)| g(h(u)) f(u)

     = |1/(2√u)| exp(-u/2) for u > 0 f(u) = 0 otherwise

Therefore, the pdf of U is given by:

f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

(2) We are given that f(1/2) = VT, where V is a constant.

We can substitute u = 1/2 in the pdf of U and equate it to VT.

Then, we get:VT = (1/(2√(1/2))) exp(-1/4)VT

                            = √2 exp(-1/4)

This gives us the value of V.

Now, we can use the pdf of the gamma distribution to find the parameter a such that the gamma distribution matches the pdf of U.

The pdf of the gamma distribution is given by:

f(u) = (u^(a-1) exp(-u)/Γ(a)) for u > 0 where Γ(a) is the gamma function.

We can use the following relation between the gamma and the factorial function to simplify the expression for the gamma function:

Γ(a) = (a-1)!

Thus, we can rewrite the pdf of the gamma distribution as:

f(u) = (u^(a-1) exp(-u)/(a-1)!) for u > 0

We can now equate the pdf of U to the pdf of the gamma distribution and solve for a.

Then, we get:

(1/(2√u)) exp(-u/2) = (u^(a-1) exp(-u)/(a-1)!) for u > 0 a = 3/2

Therefore, U follows a gamma distribution with parameter

a = 3/2 or equivalently,

a = 1/2.

(3) We need to show that I(1/2) = V1.

Here, I(1) = ∫₀^∞ exp(-x) dx is the integral of the exponential distribution with rate parameter 1 and V is a constant.

We can use the change of variables y = √(2x) to simplify the expression for I(1/2) as follows:

I(1/2) = ∫₀^∞ exp(-√(2x)) dx

Now, we can substitute y²/2 = x to obtain:

x = (y²/2) and

dx = y dy

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The opportunity cost of completing an undergraduate education in four years is $60,000.

To calculate the opportunity cost of completing an undergraduate education in four years, we need to compare the costs of attending college to the potential earnings from the job offer as an Assistant Manager.

The total cost of attending college for four years includes tuition, textbooks, and room and board:

Total cost of college = Tuition + Textbooks + Room and board

                   = $21,000/year * 4 years + $1,000/year * 4 years + $13,000/year * 4 years

                   = $84,000 + $4,000 + $52,000

                   = $140,000

If you decided not to go to college and accepted the job offer as an Assistant Manager, you would earn $50,000 per year for four years:

Potential earnings from job offer = Annual salary * Number of years

                               = $50,000/year * 4 years

                               = $200,000

The opportunity cost of completing an undergraduate education in four years is the potential earnings from the job offer minus the total cost of attending college:

Opportunity cost = Potential earnings - Total cost of college

               = $200,000 - $140,000

               = $60,000

Therefore, the opportunity cost of completing an undergraduate education in four years is $60,000.

Question-

Suppose that at your university, you will pay $21,000 each year for tuition, $1,000 each year for textbooks, and $13,000 per year for room and board. Before you left for college. your boss at Panda offered you a job as an Assistant Manager paying $50,000 per year.

Assume that if you decided not to go to college, your parents would NOT let you live at. home.

What is your opportunity cost in completing an undergraduate education in four years?

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The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.



To find the margin of error, we need to use the formula:
Margin of error = z* (sigma / sqrt(n))
Where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size.
In this case, we know that the population variance (sigma^2) is 484, which means the standard deviation (sigma) is sqrt(484) = 22.
The sample size (n) is 256.
The confidence level is 95%, which means the z-score is 1.96.
So, plugging these values into the formula, we get:
Margin of error = 1.96 * (22 / sqrt(256))
Simplifying, we get:
Margin of error = 1.96 * (22 / 16)
Margin of error = 2.695


Hence, we use the formula Margin of error = z* (sigma / sqrt(n)), where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size. The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.

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None of these alternatives is correct. The probability of a type ii error (β) is not directly determined by the probability of a type i error (α).

Type i and type ii errors are two types of errors that can occur in hypothesis testing. Type i error occurs when we reject a true null hypothesis, while type ii error occurs when we fail to reject a false null hypothesis.

The probability of a type i error (α) is typically set by the researcher or the significance level chosen for the test. A common value for α is 0.05, which means that there is a 5% chance of rejecting a true null hypothesis. However, the probability of a type ii error (β) depends on various factors such as the sample size, effect size, and the level of significance chosen for the test.

In general, the probability of a type ii error (β) decreases as the sample size increases or as the effect size increases. It also decreases if the level of significance chosen for the test is reduced. However, it is important to note that there is always a trade-off between type i and type ii errors. As the probability of type i error decreases, the probability of type ii error increases, and vice versa.

In conclusion, the probability of a type ii error (β) cannot be determined solely based on the probability of a type i error (α). It depends on several factors and should be considered along with the probability of type i error when making decisions about hypothesis testing.

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Answer:

a= 11/30

Step-by-step explanation:

Divide the 5 1/2 miles by the 15 minutes

5.5/15= .36

.36 = 11/30    

The expression P2 = 100000(0.4)^(d - 4) is an illustration of an exponential expression

The equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

The equation is given as:

P2 = 100000(0.4)^(d - 4)

Apply the law on indices on the expression.

P2 = 100000(0.4)^d * 1/0.4^4

Rewrite as:

P2 = 1/0.4^4 * 100000(0.4)^d

Evaluate the exponent

P2 = 39.0625 * 100000(0.4)^d

Evaluate the product

P2 = 3906250(0.4)^d

Hence, the equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

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Answer:

D

Step-by-step explanation:

Answer:

square root of pie represent the triangularity of the polverinizing sphere which is V=12.^7aN(f>82

Answer:

Step-by-step explanation:

-8x + 5y = 10

Add '8x' to both sides

5y = 10 + 8x

Divide both sides by 5

\(\dfrac{5y}{5}=\dfrac{10}{5}+\dfrac{8x}{5}\\\\\\y=2+\dfrac{8}{5}x\)

Answer:

\(y=2+\frac{8x}{5}\)

Step-by-step explanation:

1. Move x to the right side of the equation

\(-8x+5y=10\\5y=10+8x\)

2. Divide both sides by 5 to get y on its own

\(5y=10+8x\\y=\frac{10}{5}+\frac{8x}{5}\)

3. Simplify

\(y=2+\frac{8x}{5}\)