A show box measures 15 in. by 7 in. by 4 1/2 in. What is the surface of the box?

Answers

Answer 1

The surface area of the box is 408 square inches whose dimensions of the box are 15 in. by 7 in. by [tex]4\frac{1}{2}[/tex] in.

The formula for the surface area of a rectangular box is:

Surface Area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the box.

Given that the dimensions of the box are 15 in. by 7 in. by [tex]4\frac{1}{2}[/tex] in., we have:

l = 15 in.

w = 7 in.

h = [tex]4\frac{1}{2}[/tex] in. = 9/2 in.

Substituting these values into the formula, we get:

Surface Area = 2lw + 2lh + 2wh

Surface Area = 2(15)(7) + 2(15)(9/2) + 2(7)(9/2)

Surface Area = 210 + 135 + 63

Surface Area = 408

Therefore, the surface area of the box is 408 square inches.

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Related Questions

Ms. Monti bought * adult tickets and y
children's tickets to an ice-skating show. She spent a total of $145. The equation below describes the relationship
between x and y.
25x + 15y = 145 The ordered pair (4, 3) is a solution of the equation. What does the solution
(4, 3) represent?
A Ms. Monti bought 4 adult tickets and
3 children's tickets. B Adult tickets cost $4 each and
children's tickets cost $3 each. C Ms. Monti spent $4 on adult tickets
and $3 on children's tickets. D The cost of 4 adult tickets equals the
cost of 3 children's tickets.

Answers

A Ms. Monti bought 4 adult tickets and 3 children's tickets.

The ordered pair (4, 3) represents the number of adult tickets and children's tickets that Ms. Monti bought. Since the equation 25x + 15y = 145 is true when x = 4 and y = 3, this means that Ms. Monti bought 4 adult tickets and 3 children's tickets, and spent a total of $145.

QUESTION 14 Does it make sense to fit this data with a linear, exponential, or logistic model? Choose the best answer. O A. This data fits a linear model because the growth rate is constant. OB. This data fits a logistic model because the growth rate increases and then decreases. OC. This data fits an exponential model because the growth rate increases each time. O D. This data fits a logistic model because the growth rate increases each time. O E. This data fits an exponential model because the growth rate is approximately constant.​

Answers

The best option among the rest is

A. This data fits a linear model because the growth rate is constant.

How to find the best answer

The justification for this is that a linear model is suitable when the growth rate of the data remains constant, suggesting that the relations between the independent and dependent quantities are relative and does not differ through time or with modifications in the input figures.

It would cause a straight-line graph to appear, where the dependent elements change linearly comparable to alterations in the independent variable.

All other selections, B, C, D, and E, aren't applicable according to the given information. As a result, the optimal conclusion is A, conveying that the data abides by a linear model derivable from an unchanging growth rate.

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You want to purchase a new car in 4 years and expect the car to cost ​$76,000. Your bank offers a plan with a guaranteed APR of 4.5if you make regular monthly deposits. How much should you deposit each month to end up with ​$76,000 in 4​years?
Question content area bottom
Part 1
You should invest ​$

enter your response here each month.

Answers

- To purchase a new car in 4 years and expect the car to cost ​$76,000, you need to calculate how much money you need to deposit each month in a bank account that offers a guaranteed APR of 4.5%.

- You can use a formula called PMT to calculate the monthly deposit amount. PMT stands for payment and it is the amount of money you need to pay or deposit each period to achieve a certain future value.

- The formula for PMT is: PMT = ( FV * r) / [ ( (1+r)^n) - 1] where FV is the future value, r is the interest rate per period, and n is the number of periods.

- In your case, FV is $76,000, r is 0.045/12 (because the interest rate is 4.5% per year and there are 12 months in a year), and n is 4*12 (because you want to save for 4 years and there are 12 months in a year).

- Plugging these values into the formula, you get: PMT = (76000 * 0.00375) / [ ( (1+0.00375)^48) - 1] = 1449.72

- This means you should deposit $1449.72 each month to end up with $76,000 in 4 years.

I hope this helps you solve your problem.

Simplify the expression -2-17+12-(-14)
hurry 100 points and brainlyest

Answers

Step-by-step explanation:

k = a constant of proportionality

Putting m = 1kg, a = 1 ms-2

F becomes 1 N.

So, 1 N = 4 × 1kg × 1 ms-2

∴ k = 1

From equation (1), we have

F = ma

The applet has eight pairs of triangles. Each group member should choose 1–2 pairs of triangles. Use them to help you answer the following questions.

Which pair(s) of triangles do you have?
Can each pair be composed into a rectangle? A parallelogram?

Answers

I don't have access to the applet you are referring to. Can you please provide more information or context about the applet so I can better assist you?

PLEASE HELP (WILL GIVE BRAINLIEST)

Answers

Answer: A: 50 ft

Step-by-step explanation:

We need to find the height of this composite figure. We can do so by using the volume formulas, (which include height).

Volume of Figure = Volume of Cylinder + Volume of Hemisphere

26,225.3 = pi r^2 h   +     2/3 pi r^3

26,225.3 = pi 12^2 h + 2/3 pi 12^3

(26,225.3 - 2/3 pi 12^3)/pi 12^2 = h

this simplifies to about 50.

Hence your answer is A

First answer choice :50 ft

write 100 min in hour and min

Answers

100 minutes is equal to 1 hour and 40 minutes.
100min is equal to an hour and 30 min

netflix has a membership plan in which a person pays a flat fee of $10 plus $2 for each movie rented. Non members pay $4.50 for each movie rented. write a system of equations for each plan

Answers

Let x be the number of movies rented.

For the Netflix membership plan, the total cost C is given by:

C = 10 + 2x

For non-members, the total cost C is given by:

C = 4.5x

Therefore, the system of equations is:

C = 10 + 2x (Netflix membership plan)
C = 4.5x (non-members)

the football team needs a new player. using the data displays, determine an appropriate measure of center and measure of spread for each potential player's data ​

Answers

a) From the box plot of Dwayne's data, the measure of center = 9 and the measure of spread = 5

b)  From the box plot of Mitchell's data,  the measure of center = 10 and the measure of spread = 2

c)  From the box plot of Terry's data,  the measure of center = 10 and the measure of spread = 2

We know that in the box plot the measures of spread include the interquartile range and the mean of the data set.

Whereas, the measures of center include the mean or average and median.

For the Dwayne's box plot the interquartile range is 11 - 6 = 5

And the median is 9

So, the measure of center = 9 and the measure of spread = 5

For the Mitchell's box plot the interquartile range is 11 - 9 = 2

And the median is 10

So, the measure of center = 10 and the measure of spread = 2

For the Terry's box plot the interquartile range is  11 - 9 = 2

And the median is 10

So, the measure of center = 10 and the measure of spread = 2

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A is a segment whose endpoints are the center of a circle and a point on the circle.

Answers

Diameter is the segment whose end points are on the circle and passing through the center of the circle.

Given a statement.

We have to find the term defined for the statement.

Given a circle.

The end points of the circle are on the circle.

Any line segment whose end points are on the circle is defined as the chord.

If a chord passes through the center of the circle, then it is called the diameter.

Hence the correct term is diameter.

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Your question is incomplete. The complete question must be probably the on as given below.

Identify the term.

A _____ is a segment whose end points are on the circle and passing through the center of the circle.

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
F(x) = (x^4/5)((x − 5)^2)

Answers

The critical values of the function are x = 0 and x = 4.

The critical values of a function f(x) are the values of x for which f'(x) = 0.

In this problem, the function is:

f(x) = [tex]\frac{x^4}{5(x-2)^2}[/tex]

The derivative is found as follows, applying the quotient rule:

f'(x) = [tex]\frac{2x^3(x-4)}{5(x-2)^3}[/tex]

The zeros of the function are the zeros of the numerator, thus:

2x³(x-4) = 0

∴ x = 0, 4

Hence, the critical values of the function are x = 0 and x = 4.

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If someone could help me out with this I would be really grateful

Answers

Answer:

Step-by-step explanation:

Blue line: 0 + -4<x

Black line: 8 - 7<7

Orange: 0=0>y

Green: 1-9<y

Starting points and ending

T/F True Logistic Regression is applied when the Dependent Variable is of Continuous nature.

Answers

It is used in various fields, such as healthcare, marketing, and social sciences.

False. Logistic regression is used when the dependent variable is binary or categorical (i.e., a nominal or ordinal variable). It is not appropriate for continuous dependent variables.

Logistic regression models the probability of an event occurring, where the event is represented by a binary variable (such as yes/no, success/failure, etc.). The output of the logistic regression model is the probability of the event occurring given the values of the independent variables. This probability can take any value between 0 and 1.

The logistic regression model assumes that the log odds of the event occurring (i.e., the logarithm of the probability of the event divided by the probability of its complement) can be modeled as a linear function of the independent variables. The coefficients of this linear function are estimated using maximum likelihood estimation.

Overall, logistic regression is a commonly used technique in statistics and data analysis for modeling the probability of a binary or categorical outcome. It is used in various fields, such as healthcare, marketing, and social sciences.

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New City Insurance Company offers a term life insurance policy with a renewable annual premium. The first year premium is $140. Premiums increase 6% each year. Round to the nearest cent. a. What will the premium be in the second year? b. What will the premium be in the third year? c. What will the premium be in the fifth year?

Answers

a. To find the premium for the second year, we need to increase the first year premium by 6%. We can do this by multiplying the first year premium by 1.06:

$140 * 1.06 = $148.40

Therefore, the premium for the second year is $148.40.

b. To find the premium for the third year, we need to increase the premium for the second year by 6%. We can do this by multiplying the premium for the second year by 1.06:

$148.40 * 1.06 = $157.30

Therefore, the premium for the third year is $157.30.

c. To find the premium for the fifth year, we can use the same method. We need to increase the premium for the fourth year by 6%. To find the premium for the fourth year, we can increase the premium for the third year by 6%:

$157.30 * 1.06 = $166.96

Now we can increase the premium for the fourth year by 6%:

$166.96 * 1.06 = $177.39

Therefore, the premium for the fifth year is $177.39

Combine like terms to simplify the expression: 8y + 4 - 3y + 12?

Answers

Answer: image below

Step-by-step explanation:

The table below shows the educational attainment of a​ country's population, aged 25 and over. Use the data in the​ table, expressed in​ millions, to find the probability that a randomly selected​ citizen, aged 25 or​ over, had .

Answers

The probability of selecting a citizen, aged 25 or over, who had 4 years of college will be 0.2455.

Given that:

The table below shows the educational attainment of a​ country's population, aged 25 and over.

The probability is given as,

P = (Favorable event) / (Total event)

The probability of selecting a citizen, aged 25 or over, who had 4 years of college will be given as,

P = 41 / 167

P = 0.2455

The probability will be 0.2455.

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The complete question is given below.

One hundred students were asked which fast food restaurants they had visited in the past two weeks. 55 ate at McDonald s, 35 ate at Wendy's, and 20 ate at both restaurants. How many ate at neither?
A) 80
B)10
C)45
D)30

Answers

The number of people who ate at neither McDonald's or Wendy's is given as follows:

D) 30.

How to obtain the number of people who ate at neither place?

Before obtaining the number of people who ate at neither place, we must obtain the number of people who ate at least one place, as follows:

At least one = McDonald's + Wendy's - (McDonald's and Wendy's).

Replacing the values given in this problem, we have that:

At least one = 55 + 35 - 20

At least one = 70.

Considering that 100 students were surveyed, the number of students who ate at neither place is given as follows:

Neither = 100 - At least one

Neither = 100 - 70

Neither = 30 students.

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determine the volume of a sphere with a radius of 4.75 inches round your answer to the nearest hundredth use 3.14 for pie.

Answers

Hi, the answer is 448.92

Answer:

Step-by-step explanation:

V≈448.92in³

r Radius = 4.75
V=4/3πr3=4/3·π·4.753≈448.9205in³

Graph the equation using the slope and the​ y-intercept.

Answers

To Graph the equation using the slope and the​ y-intercept is discussed below.

let us consider a equation of line slope intercept form is y= -1/2x - 1.

As, the general form of equation is

y= mx+ b

where m is the slope and b is y intercept

Here in the equation slope= -1/2 and intercept is -1.

To y intercept is value of y when x= 0 then the coordinate in the graph should be (0, -1).

Now, the slope show the change in y wrt to x here if 2 unit in x then 1 unit.

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We need to find the length of each board, so that one piece is five times as long as than the other. Let x represent the length of the longer
piece in feet, and let y represent the length of the shorter piece in feet.
Since the length of the board is 24 ft, we can form the following equation.
The length of the longer piece plus the length of the shorter piece equals 24 feet.
Write this equation using the defined variables for each piece. (Enter simplified answers.)

Answers

A system of linear equations that describes this situation include the following;

x = 5y

x + y = 24

How to write an equation to model this situation?

In order to write a linear equation or function to describe this situation, we would assign variables to the length of the longer piece and the length of the shorter piece in feet respectively, and then translate the word problem into a linear equation as follows:

Let the variable x represent the length of the longer piece in feet.Let the variable y represent the length of the shorter piece in feet.

Since one piece is five times as long as than the other and the length of the longer piece plus the length of the shorter piece equals 24 feet, a system of linear equations or function to describe this situation can be written as follows;

x = 5y

x + y = 24

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cant be that hard but i didnt pay attention

Answers

∠ AFE is supplementary to ∠ AFB and the measure of ∠ AFE = 102⁰.

option A.

What is a supplementary?

Supplementary angles are the two angles that sum up to 180 degrees.

That is, if the sum of two angles is equal to 180 degrees, then the two angles are supplementary.

From the given diagram we can form the following equation;

∠ AFE + ∠ AFB = 180 (supplementary angles or sum of angles on a straight line )

∠ AFE = 180 - ∠ AFB

∠ AFE = 180 - 78

∠ AFE = 102⁰.

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It is well documented that a typical washing machine can last anywhere between 5 to 20 years. Let the life of a washing machine be represented by a lognormal variable, Y = eX where X is normally distributed. In addition, let the mean and standard deviation of the life of a washing machine be 5 and half years and 3 years, respectively. [You may find it useful to reference the z table.]

a. Compute the mean and the standard deviation of X. (Round your intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)



b. What proportion of the washing machines will last for more than 11 years? (Round your intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)



c. What proportion of the washing machines will last for less than 3 years? (Round your intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)



d. Compute the 70th percentile of the life of the washing machines. (Round your intermediate calculations to at least 4 decimal places and final answer to the nearest whole number.)

Answers

a. The mean of X is μ = ln(5.5) - 0.5 * (ln(3/5.5))^2 ≈ -0.8329. The standard deviation of X is σ = sqrt(ln(3/5.5)^2) ≈ 0.7634.

b. We want to find P(Y > 11) = P(e^X > 11) = P(X > ln(11)) = P(Z > (ln(11) - ln(5.5) + 0.5 * ln(3/5.5)^2) / 0.7634) ≈ 0.0002, where Z is the standard normal distribution.

c. We want to find P(Y < 3) = P(e^X < 3) = P(X < ln(3)) = P(Z < (ln(3) - ln(5.5) + 0.5 * ln(3/5.5)^2) / 0.7634) ≈ 0.0001, where Z is the standard normal distribution.

d. The 70th percentile corresponds to a z-score of z = invNorm(0.7) ≈ 0.5244. Therefore, we want to find the value of y such that P(Y < y) = P(e^X < y) = 0.7. This implies that ln(y) = ln(5.5) - 0.8329 * 0.7634 + 0.5244 * 0.7634, so y ≈ 7.
a. The mean and standard deviation of X are:

mean(X) = ln(5.5) - (1/2) * ln(1 + (3/5.5)^2) ≈ 1.5041 years

std(X) = sqrt(ln(1 + (3/5.5)^2)) ≈ 0.8321 years

b. Let Z be the standard normal variable corresponding to the life of 11 years. Then:

Z = (ln(11) - ln(5.5)) / 0.8321 ≈ 0.9672

Using the z-table, we find that the proportion of the washing machines that will last for more than 11 years is:

P(Z > 0.9672) ≈ 0.1661

c. Let Z be the standard normal variable corresponding to the life of 3 years. Then:

Z = (ln(3) - ln(5.5)) / 0.8321 ≈ -1.4645

Using the z-table, we find that the proportion of the washing machines that will last for less than 3 years is:

P(Z < -1.4645) ≈ 0.0721

d. The 70th percentile of the life of the washing machines corresponds to the standard normal variable Z such that:

P(Z < z) = 0.70

Using the z-table, we find that z ≈ 0.5244. Then:

ln(Y) = mean(X) + z * std(X) ≈ 2.1629

Solving for Y, we get:

Y ≈ e^2.1629 ≈ 8.6913 years

Therefore, the 70th percentile of the life of the washing machines is about 9 years.

Which of the following functions are vertical translations of f(x)=√x?
Select all that apply.
A. K(x)=√√√-5+x
B. n(x) = -7+ √x
C. g(x)=√x -4
D. h(x)=3+√x
E. m(x)=√5x

Answers

The function that are vertical translations of f(x) are; (B), (C), and (D).

Given that f(x) = √x is the square root function.

We know that vertical translation of a function is a transformation that shifts the graph of the function up or down without changing its shape.

Option (A) K(x)=√√√-5+x is a vertical translation of f(x) because it shifts the graph of f(x) to the right by 5 and then applies three square root operations. so, it is not a vertical translation that shifts the graph up or down.

Option (B) n(x) = -7+ √x is a vertical translation of f(x) due to it shifts the graph of f(x) down by 7 units.

Option (C) g(x)=√x -4 is a vertical translation of f(x) since it shifts the graph of f(x) down by 4 units.

Option (D) h(x)=3+√x is a vertical translation of f(x) since it shifts the graph of f(x) up by 3 units.

Option (E)  m(x)=√5x is not a vertical translation of f(x) since it involves multiplying the input of f(x) by a constant factor of 5.

Therefore, the options that are vertical translations of f(x) are; (B), (C), and (D).

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i want to find inverse laplace help me pls.​

Answers

Answer:

MY OPINION IS (REALLLLLL)

Step-by-step explanation:

Complete the statement: triangle AED~triangle ____

And Find the value of X

Answers

The solution is the value of X is, x = 2.

Here, we have,

from the given diagram,

we get,

from triangle ABC,

AB = 5, AC = 6

and, From triangle ADE,

AD = 10, AE = 12

and, both has same angle A,

so, by SAS rule, both are congruent.

we get,

triangle AED ~ triangle ABC

now, we know that,

here, DE = 2 BC

so, x+12 = 2( 4x-1)

or, x+ 12 = 8x -2

or, x = 14/7

or. x= 2

Hence, the value of X is, x = 2.

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1. Which of the following do not belong to the group of numbers


A. Two. B. Three. C. Four. D. Six

Answers

Answer:

three

Step-by-step explanation:

All other numbers are even except three

The number that does not belong to the group is D. Six.

All the other numbers (Two, Three, Four) are prime numbers, while Six is not a prime number as it can be divided evenly by 2 and 3.

Find the probability that a day in Dayton will include rain or snow.

Answers

The probability that a day in Dayton will include rain or snow is 38%.

Let's assume that there are 365 days in a year (not considering leap years), and we are aware that Dayton typically experiences 25 days of snow per year, in addition to 110 days of rain. We can add the total number of rainy and snowy days in Dayton and then divide that total by the number of days in a year to determine the likelihood that a given day will be either one of those things:

probability of rain or snow = [tex]\frac{110+25}{365}[/tex]

                                             =0.38

The probability that a day in Dayton will have rain or snow is 0.38 or 38%.

The question is incomplete, complete question is " Dayton is a small town in Ohio, which receives  110 days of rain and 25 days of snow per year. Ignoring leap years, Find the probability that a day in Dayton will include rain or snow."

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Jake and Rafael are training for a bike race. Jake is a beginner and starts by riding up a hill with a 7.9° incline. Rafael is more experienced and rides up a hill with an 18.3° incline. If Jake and Rafael ride 100 ft., how much more horizontal distance did Jake cover. A.4.1 ft. B.9.6 ft. C.17.7 ft. D. 19.2 ft.

Answers

Answer:

We can use trigonometry to solve this problem. The horizontal distance covered by each rider can be found by multiplying the distance they rode by the cosine of the angle of incline. The difference between the two distances will be the amount by which Jake covered less distance than Rafael.

For Jake:

Horizontal distance = distance * cos(angle of incline)

Horizontal distance = 100 ft * cos(7.9°)

Horizontal distance = 100 ft * 0.9925

Horizontal distance = 99.25 ft

For Rafael:

Horizontal distance = distance * cos(angle of incline)

Horizontal distance = 100 ft * cos(18.3°)

Horizontal distance = 100 ft * 0.9475

Horizontal distance = 94.75 ft

Difference in horizontal distance = 99.25 ft - 94.75 ft

Difference in horizontal distance = 4.5 ft

Therefore, Jake covered 4.5 ft more horizontal distance than Rafael. The closest option is A. 4.1 ft, but that is not the exact answer.

Step-by-step explanation:

hope this helps:)

In the last ten years, the population of Brazil has grown at an exponential rate of 0.9% per year to 205,822,685. If this rate continues, what will be the population in 10 more years? (Simplify your answer completely. Round your answer to the nearest whole number.)

Answers

Answer:

To find the population of Brazil in 10 more years, we can use the formula for exponential growth:

A = P(1 + r)^t

where A is the final amount, P is the initial amount, r is the annual growth rate as a decimal, and t is the number of years.

We know that the current population of Brazil is 205,822,685, and the annual growth rate is 0.9%. We want to find the population in 10 more years, so t = 10. Plugging in these values, we get:

A = 205,822,685(1 + 0.009)^10

Simplifying this expression, we get:

A = 205,822,685(1.009)^10

A = 237,832,190.44

Rounding this to the nearest whole number, we get:

A = 237,832,190

Therefore, the population of Brazil in 10 more years will be approximately 237,832,190.

Step-by-step explanation:

Compute the measures of center for both the boys and girls data. Describe their differences. Use the terms mean and median to justify your answer. 3) points

GIVING 100 PTS!

Answers

1.) The data I discovered for the Girls Is 50 which Is the median, And the mean Is 46.

For the boys Is 33 which Is the median, and the mean is 34.

2.) The difference Is, The girls Is 15-81 From the boys, The boys Is 0-75, This means the boys median would be less because their scores are less.

Answer:

1.) The data I discovered for the Girls Is 50 which Is the median, And the mean Is 46.

For the boys Is 33 which Is the median, and the mean is 34.

2.) The difference Is, The girls Is 15-81 From the boys, The boys Is 0-75, This means the boys median would be less because their scores are less.

Step-by-step explanation:

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Caminar es bueno para la salud que sujeto Ms. Summers begins each silent reading session with a status of the class. She notices that Dino has had a new book every day for the last three days. Dino is most likely The classification system used today was created by whom in the late 1700's? rbc corporate bonds have a coupon rate of 8%, 5 years to maturity, and a $1,000 par value and an a rating. bonds with a aa rating are trading at 4.5% bonds with an a rating are trading at 5% bonds with a aaa rating are trading at 4% what is the market price of rbc's bonds? $10,452.98 $880.22 $1,235.80 correct! $1,129.88 If a=16/3 radians, simplify the expression cos^1(cos(a)) Which artery should be raised and injected to facilitate the embalming of the body between the antecubital fossa and the wrist?(a) Axillary(b) Subclavian(c) Radial(d) Femoral Find the minimum of four even consecutive natural numbers whose sum is 204? before the introduction of the yellow crazy ant to christmas island, land crabs ate many plant seedlings in the forest, maintaining a relatively clear forest floor. as the crab population has declined, plant seedlings have flourished. the forest floor is now covered with plants. which statement best describes what is occurring on the forest floor? responses secondary succession is occurring because the organisms on the forest floor are changing. secondary succession is occurring because the organisms on the forest floor are changing. primary succession is occurring because the ant is a new species changing the ecosystem. primary succession is occurring because the ant is a new species changing the ecosystem. climax vegetation is occurring because the seedlings finally have the chance to grow. climax vegetation is occurring because the seedlings finally have the chance to grow. primary succession is occurring because more plant life is healthier for the ecosystem. thinking about network size 0.0/1.0 point (graded) what is the danger to having too many hidden units in your network? it will take up more memory it may overfit the training data it will take longer to train unanswered Colonies grow most rapidly at the __________ where oxygen and nutrients are readily available; however, they grow less rapidly at the __________ where these materials have been depleted. Polymers can possess different regions, which are characterized by the degree of order in the polymer chains. Regions of the polymer that are very ordered are called _____ regions, whereas regions of the polymer that are very disordered are called _____ regions. Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work. 46. The use of such instruments as role-playing, sensitivity training, team building, and mentoring would indicate an organizational strategy based on the:A. cognitive approach.B. behavioural approach.C. environmental approach.D. job analysis approach.E. assessment approach. Order the steps required to analyze gene expression from a particular cell type using a DNA microarray. First step Last step Answer Bank reverse transcribe mRNA to cDNA add cDNA to microarray and incubate wash away unbound cDNAlabel cDNA with a chemiluminescent molecule extract mRNA from cells write a script file to compute the sum of the first (your birthday month number) terms in the series 10 k^2-5k, for k A production manager at Ultra Clean Dishwashing Company is monitoring the quality of the companys production process. There has been concern relative to the quality of the operation in accurately filling the 16 ounces of dishwashing liquid. The product is designed for a fill level of 16. 000. 30. The company collected the following sample data on the production process:ObservationsSample 1 2 3 41 16. 41 16. 10 15. 85 15. 762 15. 95 16. 10 16. 10 15. 813 15. 90 16. 00 16. 004 15. 904 16. 10 16. 21 15. 5 15. 955 15. 80 16. 25 16. 34 16. 416 15. 40 15. 49 15. 70 15. 927 16. 33 16. 21 15. 99 16. 008 15. 50 15. 90 16. 10 16. 039 16. 15 16. 21 16. 05 16. 0010 15. 80 16. 43 16. 50 15. 97a. Are the process mean and range in statistical control?b. Do you think this process is capable of meeting the design standard? Special beach restrictions can help piping plovers during nesting season. Describe one restriction that could reasonably be implemented to help prevent the destruction of plover nests by human actions. 12X-25=96 and solve for x We can approximate the amount of current in amps I ASAP. jack goes for a ride on a ferris wherl thst has a radius of 51 yards. the center of the ferris sherl is 61 yards above the ground. he starts bis rifr at the 9 oclock position and travels counter clockwise. define a function g that tepresents jacks verticL distance above the grihdn in yards in terms of the angel ( meassured in radians) jack has swept out measured grom the 9 oclock positions