appearing in the Lafayette, Indiana, Journal and Courier, October 20, 1997.) 7. Manatees are large sea creatures that live along the Florida coast. Many manatees are killed or injured by powerboats. Below are data on powerboat registrations (in thousands) and the number of manatees killed by boats in Florida in the years 1977 to 1990 (how folks who collect these data know the number of manatees killed by boats is unclear to me). Is there any evidence that power boat registrations is related to manatee fatalities? Pearson correlati should be used for these data. (10 points) Year 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 Powerboat Registrations (1000) 447 460 481 498 513 512 526 559 585 614 645 675 711 719 Manatees killed 13 21 24 16 24 20 15 34 33 33 39 43 50 47 Correlations Between Five Cognitive Variables and Age Measure 1 1. Working memory _ 2. Executive function .96 3. Processing speed .78 4. Vocabulary .27 .73 5. Episodic memory 6. Age -.59 | 785 75 56 -.56 3 .08 .52 -.82 4 38 .22 5 | -.41

The value of the given monomial, -8\(m^{4}n^{4}\), when m = 0.5 and n = 2 is -8.

According to the question,

We have the following monomial:

-8\(m^{4} n^{4}\)

We have m = 0.5 and n = 2.

Now, putting these values of m and n in the monomial:

-8 \((0.5)^{4} (2)^{4}\)

(Please note that when a power is there on a number then it means that to solve the expression we have to multiply the base as many times as the given power. For example, in this case, we will multiply 2 four times and the result will be 16. This concept is applicable to every expression we are solving whether the base is in decimal or in fraction or a integer.)

-8*0.0625*16

-128*0.0625

-8

Hence, the value of the given monomial is -8.

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Answer:

18.) 10x

20.) k - 24

22.) 12 - 9

Step-by-step explanation:

Jack jogs for 30 minutes and rides his bike for 45 minutes and the pair of linear equations that shows the relationship between the number of minutes he jogs (x) and the number of minutes he rides his bike (y) every day are:y = (1/3)x + 35 and y = (-1/3)x + 40

Let's assume that Jack jogs for x minutes. According to the question, he rides his bike for 15 minutes more than he jogs.Therefore, the number of minutes he rides his bike is (x + 15).He spends a total of 75 minutes every day exercising.

So, x + (x + 15) = 75

Now, we'll solve this equation for x:2x + 15 = 75 or 2x = 75 - 15, 2x = 60 or x = 30

So Jack jogs for 30 minutes.

Therefore, he rides his bike for x + 15 = 30 + 15 = 45 minutes.

To write a pair of linear equations that shows the relationship between the number of minutes Jack jogs (x) and the number of minutes he rides his bike (y) every day, we can use the slope-intercept form:

y = mx + b

Here, m is the slope and b is the y-intercept. For the first equation, the slope is the ratio of the rise (y) to the run (x).

Since Jack jogs for 30 minutes and rides his bike for 45 minutes, the slope is:

y/x = (45-30)/45 = 15/45 = 1/3

Hence, the first equation is:y = (1/3)x + b

We can use either of the two points (30,45) or (45,30) on the line to find the value of b.

Let's use the point (30,45).

y = (1/3)x + b45 = (1/3)(30) + b45 = 10 + bb = 35

So, the first equation is:y = (1/3)x + 35Similarly, we can find the second equation:

y = (-1/3)x + 40

To verify, substitute x = 30 in both equations:

y = (1/3)(30) + 35 = 45

y = (-1/3)(30) + 40 = 30

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Answer:

The value of x = 43/9 or x = 4.78

Step-by-step explanation:

Given the equation

\(18x+6=92\)

Solving for x

\(18x+6=92\)

Subtract 6 from both sides

\(18x+6-6=92-6\)

Simplify

\(18x=86\)

Divide both sides by 18

\(\frac{18x}{18}=\frac{86}{18}\)

Simplify

\(x=\frac{43}{9}\)

or

\(x=4.78\)

Therefore, the value of x = 43/9 or x = 4.78

Answer:

maybe

Step-by-step explanation:

but what help do u want?

Answer:

10 digress when converted to nearest digree

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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Answer: 4 Hours & 55 Minutes

Step-by-step explanation:

10:50 to 11:50 (1 hour)

11:50 to 12:50 (1 hour)

12:50 to 1:50 (1 hour)

1:50 to 2:50 (1 hour)

2:50 to 3:50 = 1 hour

1 hour = 60 minutes

3:45 to 3:50 is five minute difference

60 - 5 = 55

Therefore, it would be 4 hours and 55 minutes.

Fred invested $10,000 in the 6% bond.

Now, The amount invested in the 6% bond is, "x" and the amount invested in the 9% bond is, "y".

Now, We have to given that;

Fred invested a total = $25,000,

Hence,

x + y = 25,000

And, The interest on 9% bond is $750 more than interest on the 6% bond,

Hence,

⇒ 0.09y - 0.06x = 750

Now, we can rearrange the first equation as,

x + y = 25,000

x = 25,000 - y

Substituting this into the second equation, we get:

0.09y - 0.06x = 750

0.09y - 0.06(25,000 - y) = 750

0.09y - 1,500 + 0.06y = 750

0.15y = 2,250

y = 15,000

Thus, Fred invested $15,000 in the 9% bond.

Hence, The invested in the 6% bond, we can get;

x + y = 25,000

x + 15,000 = 25,000

x = 10,000

Therefore, Fred invested $10,000 in the 6% bond.

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Answer:

y=-2x-8

Step-by-step explanation:

To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.

To find g(-2), substitute -2 for x in the equation

g(x) = -4x² - 5x + 9 to get

g(-2) = -6 + 9g(-2)

We are given three functions as follows:

f(x) = (1/3)x - 5, g(x)

= -4x² - 5x + 9, and

h(x) = 1/(x - 8) + 3.

We are asked to find g(-2), which is the value of g(x) when x = -2.

Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get

g(-2) = -4(-2)² - 5(-2) + 9.

This simplifies to g(-2) = -16 + 10 + 9 = -6.

Hence, g(-2) = -6.

The value of g(-2) is -6.

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To estimate the flux of the vector field F out of the small sphere of radius 0.01 centered at (4, 5, 6), we can use the divergence theorem:

Flux = ∫∫S F · dS = ∫∫∫V div F dV

where S is the surface of the sphere and V is the volume inside the sphere.

Since div F = 9, we have:

Flux = ∫∫∫V div F dV = 9 ∫∫∫V dV = 9 (4/3 π (0.01)^3) ≈ 0.000038

So the estimated flux of F out of the small sphere is 0.000038 (rounded to six decimal places).

To estimate div F at the point (4, 9, 11), we can use the same idea in reverse. We know that the flux of F out of the small cube of side 0.01 centered at (4, 9, 11) is 0.003, so by the divergence theorem:

Flux = ∫∫S F · dS = ∫∫∫V div F dV

where S is the surface of the cube and V is the volume inside the cube.

Since the flux is given as 0.003, we have:

0.003 = ∫∫∫V div F dV

And since the volume of the cube is (0.01)^3, we have:

div F ≈ 0.003 / (0.01)^3 = 3

So the estimated value of div F at the point (4, 9, 11) is 3.

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Based on the factors, we can conclude that the given model is identifiable. Each parameter, μ_j and ν_k, can be estimated separately for the groups identified by j and k, respectively.

To determine whether the given model is identifiable, we need to assess whether it is possible to uniquely estimate the parameters of the model based on the available data.

In the given model, we have a sample Y_ijk, where i ranges from 1 to n, j ranges from 1 to J, and k ranges from 1 to K. The sample is cross-classified into two groups identified by j and k. The random variable Y_ijk follows a normal distribution with mean μ_j + ν_k and a known variance σ^2.

Identifiability in this context refers to the ability to estimate the parameters of the model uniquely. If the model is identifiable, it means that each parameter has a unique value that can be estimated from the data. Conversely, if the model is not identifiable, it implies that there are multiple combinations of parameter values that could produce the same distribution of the data.

In this case, the model is identifiable. Here's the justification:

1. Independent Groups: The groups identified by j and k are independent of each other. This means that the parameters μ_j and ν_k are estimated separately for each group. Since the groups are independent, we can estimate the parameters uniquely for each group.

2. Known Variance: The variance σ^2 is known in the model. Having a known variance helps in estimating the parameters accurately because it provides information about the spread of the data. The known variance allows us to estimate the means μ_j and ν_k without confounding effects from the variance component.

3. Normal Distribution: The assumption of a normal distribution for Y_ijk implies that the likelihood function for the model is well-defined. The normal distribution is a well-studied distribution with known properties, allowing for reliable estimation of the parameters.

4. Linearity of Parameters: The parameters μ_j and ν_k appear linearly in the model. This linearity ensures that the parameters can be uniquely estimated using standard statistical techniques.

The known variance and the assumption of a normal distribution further support the uniqueness of parameter estimation. Therefore, it is possible to estimate the parameters of the model uniquely from the available data.

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Step-by-step explanation:

if x+2 is a factor then

replace by -2 and equate expression to 0

we get

3(-2)^3 - 2×-2 +k=0

24+4+k=0

k = -28

hope it is correct

Answer:  -20%

Step-by-step explanation:

Percent of change = \(\frac{New-Original}{Original}*100%\)%

                               = \(\frac{60-75}{75} * 100%\)%

                               ≈ -20%

Step-by-step explanation:

4x-2=5x-4

4x-5x=-4+2

-x=-2

x=2

Answer:

no no no

Step-by-step explanation:

amil am8la

The amount of the tax on a liter of soda is $2 per liter. Of this amount, the burden that falls on consumers is $1 per liter, and that falls on producers is $1 per liter.

The statement "The effect of the tax on the quantity sold would have been the same as if the tax had been levied on consumers" is False.

To calculate the amount of the tax, we subtract the post-tax price from the pre-tax price: $13 - $11 = $2. Since the producers receive $9 per liter after paying the tax, they must be paying $4 per liter in taxes ($13 - $4 = $9). Therefore, the burden of the tax that falls on the producers is $4 per liter, and the remaining $1 per liter is passed on to the consumers in the form of a higher price. Thus, the total burden of the tax is split equally between producers and consumers.

The statement "The effect of the tax on the quantity sold would have been the same as if the tax had been levied on consumers" is False. While it is true that the quantity sold decreases with the imposition of the tax, the incidence of the tax (i.e., who bears the burden) depends on the relative elasticities of supply and demand. In this case, since producers are able to pass on some of the tax to consumers in the form of higher prices, it suggests that demand is relatively inelastic compared to supply. Therefore, the effect of the tax would not have been the same if it had been levied on consumers.

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\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=7 \end{cases}\implies 7\theta =180(7-2) \\\\\\ 7\theta =900\implies \theta =\cfrac{900}{7}\implies \theta =128\frac{4}{7}\implies \theta \approx 128.57^o \\\\[-0.35em] ~\dotfill\)

\(\underset{in~degrees}{\textit{sum of all exterior angles}}\\\\ n\beta = 360 ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \beta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=7 \end{cases}\implies 7\beta=360 \\\\\\ \beta=\cfrac{360}{7}\implies \beta=51\frac{3}{7}\implies \beta\approx 51.43^o\)

Answer:

Firstly, since KLMN is a parallelogram, side KL is parallel to NM, and KN is a transversal. By the Same-Side Interior Angle Theorem, we know that angles K and N sum up to 180 degrees. We can use this to form an equation where 7x + 12 + 4x + 3 = 180. Now we simplify this equation to 11x + 15 = 180. Now, we can subtract 15 from both sides of this equation and isolate the x variable by dividing both sides of this equation by 11, to get x = 11. Now we can substitute the value of x into our original expressions. So we get 7(11) + 12 = 89 and 4(11) + 3 = 36.

Step-by-step explanation:

Please support my answer.

Answer:

To find the volume of a cone you must first find the radius of the circle. When you write the radius of the circle in the formula for the volume of a cone it is always the top part of the fraction.  Hope This Helps Mate!! Have A Wonderful Day!!

Answer:

7.5

Step-by-step explanation:

Since we are given the price for 5 bags of dog food, we have to find the unit rate. Now to do that we divide the price by the amount.

12.50/5= 2.50

now since we have the unit rate, we take that and multiply the price of one by 3 to find the price of 3

2.50x3=7.50

Hope this helps!

Answer: 7.5 bags

Step-by-step explanation:

$12.50 divided by 5 bags= $2.5 per bag

$2.5*3 bags= $7.5

Answer:

well the slope is...

Step-by-step explanation:

4/3 but i don't know about the equation part

Answer:

y=4/3x+4

Step-by-step explanation:

y=mx+b

hope this is right lol I believe it is correct

Answer:

The ratios 2.56/32 and 0.48/6 are equivalent; y = 0.08x.

Step-by-step explanation:

$2.56 for 32 oz is a unit price of $2.56/(32 oz) = $0.08/oz

$0.48 for 6 oz is a unit price of $0.48/(6 oz) = $0.08/oz

The unit prices are equal, so the cost of both sizes are proportional.

If x is the weight in oz, multiply the weight by 0.08 to get the cost, y, in dollars.

y = 0.08x

The ratios 2.56/32 and 0.48/6 are equivalent; y = 0.08x.

Answer:

x-intercept: (2,0)

y-intercept: (0,-4/3)

vertical asymptote: x = -3

Step-by-step explanation:

To find the x-intercepts, we can set f(x) to 0, which is y=0:

2x-4/x+3 = 0

2x-4 = 0

2x = 4

x = 2

To find the y-intercepts, we can set x to 0:

2(0)-4/(0)+3 = y

y = -4/3

To find the vertical asymptote, we can set the denominator equal to 0:

x+3 = 0

x = -3

Answer:

Step-by-step explanation:

it has 14 sides

360/14= 25.714

rounding to the nearest tenth we get:

25.7

Answer:

106,624, hope this helps you :)

Step-by-step explanation:

Volume is multiplying

So you do 8 by 8 by 14 by 17 by 7.3 in

so the answer is

106,624

To two decimal place, √94 must lie between 9.6 and 9.7 because 9² = 81 and 9.62² = 92.5444, and 94 lies between these values.

√94 = approximately, 9.69

That is 9.6 to 9.7

9² = 9 × 9

= 81

9.62² = 92.5444

Therefore, the statement can be completed using 9.6 and 9.7

81

92.5444 respectively.

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