The average fourth grader is about three times as tall as the average newborn baby. If babies are on average 45cm 7mm when they are born, What is the height of the average fourth grader?

Answers

Answer 1

The height of the average fourth grader is 137cm 1mm. This height can be determined by multiplying 3 by the average height of a newborn baby.

Given information,

The average height of babies = 45 cm 7mm

45 cm 7 mm is equivalent to 45.7 cm (since there are 10 millimeters in a centimeter).

Let the height of a fourth grader be x.

According to the question,

The height of a fourth grader (x) = 3 × the average height of a newborn baby

The height of a fourth grader (x) = 3 × 45.7

The height of a fourth grader (x)= 137.1 = 137cm 1mm

Therefore, the height of a fourth grader is 137cm 1mm.

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Related Questions

Jckson plans to make an open box with the dimensions shown as a prop for the school play. the dimensions are 5 3.75 and 2.5

Answers

Based on the assumption mentioned above, the dimensions of the open box would be:

Length: 5 units

Width: 3.75 units

Height: 2.5 units.

To create an open box as a prop for the school play, Jackson will need three dimensions: length, width, and height. The given dimensions provided are 5, 3.75, and 2.5, but it is not specified which dimension corresponds to which measurement.

To determine which dimension represents which measurement (length, width, or height), we need additional information or clarification. Typically, the length refers to the longest side of the box, the width is the shorter side, and the height is the vertical dimension.

If we assume that 5 represents the length, 3.75 represents the width, and 2.5 represents the height, we can proceed with those dimensions. However, it's important to note that without confirmation or further context, this assumption may not be accurate.

Therefore, based on the assumption mentioned above, the dimensions of the open box would be:

Length: 5 units

Width: 3.75 units

Height: 2.5 units.

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cos(a+b)= cosa.cosb.-Sina SinB to Find the Formula of Sin (a-B]​

Answers

The formula for sin(a - b) is sin(a)cos(b) - cos(a)sin(b).

To find the formula for sin(a - b), we can use the identity for cosine of a sum of angles, which states that:

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

We can rearrange this equation to solve for sin(a - b):

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

cos(a + b) = cos(a)cos(b) + (-1)(sin(a)sin(b)) [multiplying sin(b) by -1]

cos(a + b) = cos(a)cos(b) + sin(a)(-sin(b)) [rearranging terms]

cos(a + b) = cos(a)cos(b) - sin(a)sin(b) [sin(b) can be replaced by -sin(b)]

Comparing this equation with the given identity, we can see that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Therefore, the formula for sin(a - b) is sin(a)cos(b) - cos(a)sin(b).

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Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.

Giving brainliest

Answers

Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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WILL GIVE BRAINLIST!

The cost for an eighth-grade party is $450 for room rental, entertainment, and decorations, plus $20 per person for food. Tickets for the party are sold for $25. What is the break-even point

A-45 TICKETS

B-90 TICKETS

C-18 TICKETS

D-23 TICKETS

*WILL REPORT LINKS AND IF YOU JUST COMMENT FOR NOTHING*​

Answers

Answer:

B.  90 tickets

Step-by-step explanation:

For t tickets sold, we want the revenue equal to the cost.

25t = 450 +20t

5t = 450 . . . subtract 20t

t = 90 . . . . . divide by 5

90 tickets is the break-even point.

___

:D

find the perimeter of a rectangle where the width is 2x^2 + 5x-4 and the length is 3x+2

Answers

Answer:

The perimeter of the rectangle is P = 4x^2 + 16x - 4.

Step-by-step explanation:

1. L = 3x + 2, W = 2x^2 + 5x - 4

2. P = 2(L + W)

3. P = 2((3x + 2) + (2x^2 + 5x - 4))

4. P = 2(2x^2 + 8x - 2)

5. P = 4x^2 + 16x - 4

4 - 32 x (-0.25)-12/ 1/3

Answers

Answer:

8x is your answer.

Step-by-step explanation:

The photo shows how it's solved.

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer: A = 83.75

Step-by-step explanation:

A=a+b

2h=12.5+21

2·5=83.75

An oven used 7.31 units of electricity over
4 hours.
What is the rate of electricity usage for this
oven in units per hour?
Give your answer to 1 d.p.

Answers

The rate of electricity usage for the oven is 1.8275 units per hour.

What is the rate of electricity usage for the oven?

The electricity consumption represents the amount of electrical energy that has been consumed over a specific time in units of Wh (or kWh),

To get rate of electricity usage for the oven in units per hour, we will divide the total electricity used by the number of hours.

Data:

Electricity used: 7.31 units

Time: 4 hours

Rate of electricity usage = Electricity used / Time

Rate of electricity usage = 7.31 units / 4 hours

Rate of electricity usage = 1.8275 units per hour.

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of x. i) Let f: R-R be defined by f(x) = mx + c, x = R. If f(0) = 5 and f(1) = 6, find the values. of m and c. Also, find the function f(x). ​

Answers

The values of m and c are m = 1 and c = 5.

The function f(x) is given by: f(x) = x + 5

How to solve the function

To find the values of m and c in the function f(x) = mx + c, we can use the given information that f(0) = 5 and f(1) = 6.

Let's substitute x = 0 into the function:

f(0) = m(0) + c = 0 + c = c

We know that f(0) = 5, so c = 5.

Now let's substitute x = 1 into the function:

f(1) = m(1) + c = m + c = m + 5 = 6

Subtracting 5 from both sides, we have:

m + 5 - 5 = 6 - 5

m = 1

Therefore, the values of m and c are m = 1 and c = 5.

The function f(x) is given by:

f(x) = mx + c

f(x) = 1x + 5

f(x) = x + 5

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pls help me solve this asap

Answers

Answer:

150

Step-by-step explanation:

the formula for this is 2a squared + 4 a h

when we plug everything in we end up getting 2*3 squared + 4*3*11

and when solved it gets toy 150

Which of the following graphs represent a function? Check all that apply.

A curve that rises from left to right, graphed in a coordinate plane

A graph in a coordinate plane. The graph starts as a line that ascends from left to right. Then it becomes a vertical line going up.

A graph in a coordinate plane. The graph begins at 0, 0 and curves up and down, creating peaks and valleys. As the graph moves to the right, the peaks and valleys get smaller and closer together.

Three-quarters of a circle, graphed in a coordinate plane

A graph in a coordinate plane. The graph curves up and down, creating peaks and valleys, but there is no pattern to these peaks and valleys.

A graph in a coordinate plane. The graph curves back and forth, from left to right.

Answers

The graphs that represent a function are:

1. A curve that rises from left to right, graphed in a coordinate plane.
2. A graph in a coordinate plane. The graph starts as a line that ascends from left to right. Then it becomes a vertical line going up.
5. A graph in a coordinate plane. The graph curves back and forth, from left to right.

These three graphs depict a clear one-to-one correspondence between the x-values and y-values, satisfying the definition of a function.

Write the quadratic equation in standard form that corresponds to the graph shown below.

Answers

The quadratic equation in standard form that corresponds to the given graph is [tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]

To determine the quadratic equation in standard form that corresponds to the given graph, we need to identify the key features of the parabola. From the graph, we can see that the parabola opens upwards and intersects the y-axis at the point (0, c). We can also observe that the vertex of the parabola lies at the point (h, k).

The standard form of a quadratic equation is given as follows:

[tex]f(x) = a(x - h)^2 + k[/tex]

Where (h, k) represents the coordinates of the vertex, and 'a' is a constant that determines the shape and direction of the parabola.

Looking at the graph, we can determine the vertex by identifying the x-coordinate where the parabola reaches its highest or lowest point. Let's assume the vertex is located at the point (h, k).

From the graph, it appears that the vertex lies at (-2, 4). Therefore, we have h = -2 and k = 4.

Now we can rewrite the equation as:

[tex]f(x) = a(x + 2)^2 + 4[/tex]

Next, we need to determine the value of 'a'. To do this, we can use another point on the graph. Let's consider the point (1, 0).

Plugging in the coordinates (1, 0) into the equation, we get:

[tex]0 = a(1 + 2)^2 + 4[/tex]

0 = 9a + 4

9a = -4

a = -4/9

Now we have the value of 'a'. Substituting it back into the equation, we get:

[tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]

Thus, the quadratic equation in standard form that corresponds to the given graph is:

[tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]

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What is 7385.35 multiplied by 527.35

Answers

3894664.323 is your answer

y=-2x-1; y=-2x+6; is this parallel, perpendicular, or neither

Answers

Answer:

Step-by-step explanation:

first, to find if they are perpendicular, we would have to determine their slopes.

y=-2x-1, we know that the slope is -2 (due to y=mx+b, where m is the slope)

y=-2x+6, we also know that the slope is -2.

since the slope is equal, it would be parallel.

However, if the slopes were negative reciprocals, (e.g. 1/2 & -2) they would be perpendicular.

If the slopes were neither negative reciprocals or equal, it would be neither.

The Burj Khalifa, located in Dubai in the United Arab Emirates, is the tallest building in the world as of 2022. Andre visited Dubai over winter break. He stood 1000 meters away from the building, looked up at a 39.62 degree angle using a laser rangefinder and spotted the top of the building.
Andre
If every floor is 5.079 meters tall, how many floors are there in the Buri Khalifa?

Answers

The Burj Khalifa, located in Dubai in the United Arab Emirates, is the tallest building in the world as of 2022, there are approximately 148 floors in the Burj Khalifa.

We can make use of the data given to determine the Burj Khalifa's floor count.

Andre is known to have stood 1,000 metres away from the structure and turned his head to look up at a 39.62 degree angle.

Let's write "h" for the Burj Khalifa's height and "d" for Andre's distance from the building's base.

tan(39.62°) = h / d

h = d * tan(39.62°)

h = 1000 * tan(39.62°) ≈ 753.7 meters

So, as per this, Number of floors = h / floor height

Number of floors = 753.7 meters / 5.079 meters

Number of floors ≈ 148.4 floors or 148 floors.

Thus, 148 floors are there in Burj Khalifa.

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Erica is 33 years old. She has $580 in a checking account, $3400 in a savings
account, $22,000 in a retirement account, and owns a car worth $7700. What
is the total value of her liquid assets?
A. $3400
B. $3980
C. $33,680
D. $29,700

Answers

The total value of her liquid assets would be = $3,980. That is option B.

What is a liquid asset?

An asset is said to be a liquid asset because it can easily be converted into cash in a short period of time.

Examples of liquid assets include the following:

Cash in checking accountCash in savings account

Therefore, the total value of liquid assets = $580+$3400 = $3980

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A number cube is rolled 500 times. Here are the results: Outcome Rolled 1 2 3 4 5 6 Calculate the following probabilities to the nearest thousandth. The theoretical probability of rolling a 5 or 6 The experimental probability of rolling a 5 or 6 [Choose ] Number of Rolls 81 95 79 89 80 76 [Choose]​

Answers

Answer:

The theoretical probability of rolling a 5 or 6 can be calculated by finding the sum of the probabilities of rolling a 5 and rolling a 6. Since the number cube has 6 equally likely outcomes, the probability of rolling a 5 or 6 is:

Theoretical probability = (probability of rolling a 5) + (probability of rolling a 6)

= 1/6 + 1/6

= 2/6

= 1/3

The experimental probability of rolling a 5 or 6 can be calculated by dividing the number of times a 5 or 6 was rolled by the total number of rolls. From the given data, the number of rolls for each outcome is:

Outcome | Number of Rolls

1 | 81

2 | 95

3 | 79

4 | 89

5 | 80

6 | 76

Experimental probability = (number of times a 5 or 6 was rolled) / (total number of rolls)

= (number of times a 5 was rolled + number of times a 6 was rolled) / 500

= (80 + 76) / 500

= 156 / 500

= 0.312

Therefore, the theoretical probability of rolling a 5 or 6 is 1/3, and the experimental probability is approximately 0.312.

Step-by-step explanation:

Janis wants to carpet her living room. Which means 15 feet by 12 feet. She picked out a nice style that Cost $2 per square foot How much will it cost.
Pls help

Answers

The carpet will cost 360 dollars
The carpets 15 by 12
So area = 15 x 12 = 180ft^2
And it cost $2 per square foot so
180 x 2 = $360

Consider the relationship 9r+8t=9

Answers

Given the relationship, 9r + 8t = 9, the relationship as a function r = f(t) will be (9 - 8t) / 9.

The relationship 9r + 8t = 9 as a function r = f(t), one is needed to isolate the variable r first on one side of the equation.

Taking with the original equation:

9r + 8t = 9

Subtract 8t from both sides in order to isolate the term with r:

9r = 9 - 8t

Divide both sides by 9 in order to solve for r:

r = (9 - 8t) / 9

Therefore, the relationship 9r + 8t = 9 can be written as the function:

r = (9 - 8t) / 9.

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Your question seems incomplete, the probable complete question is:

Consider the relationship 9r + 8t = 9. a. Write the relationship as a function r = f(t).

Plant cells and animal cells were observed under a microscope. The characteristics of two cells are listed below.

Cell X: Has chloroplast
Cell Y: Does not have a cell wall

Which statement about the two cells is correct?

Cell X has a cell membrane.
Cell X has a small vacuole.
Cell Y has a large vacuole.
Cell Y has chloroplast.
PLEASE HELP!!!

Answers

The correct statement about the two cells is:Cell Y has a large vacuole.

Cell X is described as having chloroplast, which is an organelle found in plant cells and is responsible for photosynthesis. This indicates that Cell X is a plant cell. Since the presence of chloroplast is mentioned specifically for Cell X and not for Cell Y, it implies that Cell Y is an animal cell, as animal cells do not contain chloroplasts.

Cell X having a cell membrane is not stated explicitly, and it is a characteristic shared by both plant and animal cells. Therefore, we cannot conclude whether Cell X has a cell membrane or not based on the given information.

The statement Cell X has a small vacuole is not mentioned in the provided characteristics, so we cannot determine the size of the vacuole in Cell X.

On the other hand, Cell Y not having a cell wall is mentioned, which is a characteristic specific to animal cells.Cell Y does not have a cell wall.

The correct statement based on the given information is that Cell Y has a large vacuole, while the other statements cannot be determined from the provided characteristics.

The correct statement about the two cells is: Cell Y has a large vacuole.

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b. Does there appear to be any relationship between these two variables?
a. colder average low-temperature seems to lead to higher amounts of snowfall
b. there is no relationship
c. colder average low-temperature seems to lead to lower amounts of snowfall

c. Based on the scatter diagram, comment on any data points that seem to be unusual.
an average snowfall of nearly 100 inches.
a. no city has
b. only one city has
c. two cities have
d. three cities have
e. four cities have
f. more than four cities have

Answers

1. There is no relationship

2. Two cities have an average snowfall of nearly 100 inches.

What is the scatter plot?

A scatter plot, also known as a scatter diagram or scatter graph, displays the relationship between two variables. It is particularly beneficial for identifying any patterns or trends in the data and showing how one variable might be related to another.

In a scatter plot, each data point is represented on the graph by a dot or marker. The horizontal axis (x-axis) is frequently used to represent the independent variable or predictor, while the vertical axis (y-axis) is frequently used to represent the dependent variable or reaction. Each dot's locations on the graph correspond to the values of the two variables for that particular data point.

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Which statement correctly explains the association of the scatter plot? Since the Y values increase as the X values increase the Scatter plot shows a positive association. Sense to Weibo use decrease as the X values increase the scatter plot shows a positive association.

Answers

The statement "Since the y-values decrease as the x-values increase, the scatter plot shows a negative association" correctly explains the association of the scatter plot.

Why is the statement correct?

From the plot, we see that:

Any time the Y value decreases,  it will be a negative valueAny time the X value decreases, it will be a negative value

A scatter pIot is a type of graph that shows the reIationship between two variables. The variabIes are plotted on the x-axis and y-axis, and each data point is represented by a dot. The pattern of the dots can be used to infer the reIationship between the variables.

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Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
65
-3
2
8
4
K

Answers

The x- and y-intercepts of the graph are:

x-intercept: -7y-intercept: 14

Finding the x- and y-intercepts of the graph

From the question, we have the following parameters that can be used in our computation:

-4x + 2y = 28.

For the x-intercepts, we set y to 0

So, we have

-4x = 28

Evaluate

x = -7

For the y-intercepts, we set x to 0

So, we have

2y = 28

Evaluate

y = 14

Hence, the x- and y-intercepts of the graph are -7 and 14, respectively

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Question

Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.

-4x + 2y = 28.

Need this asap will give brainliest

Answers

Answer:

Angles 3 and 5 are consecutive interior angles.

Question #3
Determine if the following scenario is best described as an observational study, survey, or experiment.
A researcher wants to determine the effects of eating a vegan diet on overall health. The researcher finds 200 individuals, where
of them have eaten vegan for the past five years and the other 100 have not eaten vegan for the past five years. The participants
each given a health assessment and the data is analyzed in order to draw conclusions about how eating vegan can affect one's
overall health.
Experimental Study
Observational study
Saved Survey

Answers

The type of sytudy that we have here is the observational study.

What is the observational study?


In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.

In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.

The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.

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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

area of A = πr² = π7² = 153.9 m²

area of B = πr² = π9² = 254.5 m²

Use table values to graph the Quadratic function.

y = x^2 - 2x + 4

Answers

X. Y
-1. 7
0. 4
1. 3
2. 4
3. 7

I NEED HELP WITH MATH STATISTICS

Answers

The limits for the 95% confidence interval are given as follows:

Lower limit: 0.65.Upper limit: 0.77.

What is a confidence interval of proportions?

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The parameters for this problem are given as follows:

[tex]n = 225, \pi = \frac{159}{225} = 0.7067[/tex]

Then the lower bound of the interval is given as follows:

[tex]0.7067 - 1.96\sqrt{\frac{0.7067(0.2933)}{225}} = 0.65[/tex]

The upper bound of the interval is given as follows:

[tex]0.7067 + 1.96\sqrt{\frac{0.7067(0.2933)}{225}} = 0,77[/tex]

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Given that tanx = 10 and sinx is negative, determine sin(2x), cos(2x), and tan(2x)

Answers

Sin(2x) = 20 x cos²(x), cos(2x) = -99 x cos²(x), and tan(2x) = -20/99.

How did we get the value?

To find the values of sin(2x), cos(2x), and tan(2x) using the given information, use trigonometric identities to express them in terms of tan(x) and sin(x).

Given that tan(x) = 10 and sin(x) is negative. Since tan(x) = sin(x)/cos(x), find cos(x) using the given information.

Let's solve for cos(x) first:

tan(x) = sin(x)/cos(x)

10 = sin(x)/cos(x)

Now, let's find sin(x) using the given information that sin(x) is negative:

Since tan(x) = sin(x)/cos(x) and tan(x) = 10, substitute 10 for sin(x)/cos(x):

10 = sin(x)/cos(x)

Multiplying both sides by cos(x):

10 x cos(x) = sin(x)

Now, sin(x) = 10 x cos(x).

Since sin(x) is negative, conclude that cos(x) must be positive.

Now, let's use the double-angle identities to find sin(2x), cos(2x), and tan(2x):

sin(2x) = 2 x sin(x) x cos(x)

cos(2x) = cos²(x) - sin²(x)

tan(2x) = sin(2x) / cos(2x)

Substituting sin(x) = 10 x cos(x) into the above formulas, express sin(2x), cos(2x), and tan(2x) in terms of cos(x):

sin(2x) = 2 x (10 x cos(x)) x cos(x) = 20 x cos²(x)

cos(2x) = cos²(x) - (10 x cos(x))² = cos²(x) - 100 x cos²(x) = -99 x cos²(x)

tan(2x) = sin(2x) / cos(2x) = (20 x cos²(x)) / (-99 x cos²(x)) = -20/99

Therefore, sin(2x) = 20 x cos²(x), cos(2x) = -99 x cos²(x), and tan(2x) = -20/99.

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If s(x) = 2x² and f(x) = 3x, which value is equivalent to (s-f)(-7)?
O-439
O-141
O 153
O 443

Answers

The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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why do some psychologists criticize the use of diagnostic labels You are managing a portfolio of 20 million. Your target duration is 6 years, and you can choose from two bonds: a zero-coupon bond with 3 years of maturity and a perpetuity, each currently yielding 5%. Next year, the target duration is 5 years. What is the portfolio weight invested in the perpetuity? How frequently should managers update their operations sales history information?At least one per hourAt least once per dayAt least once per weekAt least once per monthAt least once per quarter Find the area of the surface generated when the given curve is revolved about the x-axis. y= 4x + 2 on (0,2] The area of the generated surface is square units. (Type an exact answer, using a as needed Q5If (2) = y + ja represents the complex potential for an electric field and a = p? + (x+y)2-2xy + (x + y)(x - y), determine the function(z)? (a) Find the series' radius and interval of convergence. (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally? (a) Fi how many electrons are in the valence shell of each atom? (a) carbon (b) nitrogen (c) chlorine (d) aluminum subtract 8.263 from 13.48. Find probability between 240 and 300 apples. Explain Machiavelli's concept of 'criminal virtue', and discuss the extent to which it is compatible with contemporary interpretations of what leadership involves. of the following is true regarding capital projects funds? question 13 options: encumbrance accounting is not used. be recognized as operating revenue based upon admission fees. fixed assets are depreciated in capital projects funds. be recognized as a contribution at fair market value. area where activated immunocompetent b and t cells recirculate in the least squares regression line y=3-2x, the predicted value of y equals: a. 1.0 when x = 1.0 b. 2.0 when x = 1.0 c. 2.0 when x = 1.0 d. 1.0 when x = 1.0 creation myths include a sense of doom, that life will eventually return to the same imperishable chaos out of which it emerged.truefalse read the sentence. every day after sunset, debra enjoyed taking care of her garden, trimmed the hedges, raking the fallen leaves, and waters the plants. what should you revise to make the sentence use parallel structure correctly? (1 point) (Chapter 7 Section 2: Practice Problem 5, Randomized) (Data Entry: Hyperbolic trigonometric functions can be be entered as they appear; for example, the hyperbolic sine of + 1 would be entered here as "sinh(x^2+1)".) Find x cosh(2x) dx The ideal selection of parts is f(x) = and g'(x) dx = With these choices, we can reconstruct a new integral expression. Clean it up a bit by factoring any constants you can out of the integral: [x cosh(2x) da dx This new integral itself requires selection of parts: with f(x) = and g'(x) dx = A clean and simplified result for the original integral may have several terms. Give the term that has the hyperbolic cosine function (make it signed as negative if needed, and do not include the arbitrary constant): A(x) cosh(Bx) = Find the length and width (in meters) of a rectangle that has the given area and a minimum perimeter. Area: 25 square meters.a) 5 meters by 5 metersb) 10 meters by 2.5 metersc) 6.25 meters by 4 metersd) 7.5 meters by 3.33 meters f(x) = -x3+ 3x2 - 5 a) List the coordinates of any extrema (if they exist), and classify as a max or min. b) State where the function is increasing and/or decreasing, c) List any inflection points. d) Find the equation of the line with the given properties. Sketch the graph of the line. Passes through (-4,3) with a slope of 2. Type the general form of the equation of the line. which of the following includes all the others? unselected species unselected community unselected population unselected biosphere unselected ecosystem