jose has a storage container in the shape of a right rectangular prism. the volume of the container is 39.442 cubic meters, the length is 4.1 meters, and the width is 3.7 meters. what is the height of jose's storage container?

Answers

Answer 1

The height of the prism shaped storage container that Jose is using is found to be 2.585 meters,

We can use the formula for the volume of a rectangular prism to find the height of Jose's storage container.

Volume of a rectangular prism = length x width x height

It is given that the volume is 39.442 cubic meters and the length and width is 4.1 meters and 3.7 meters. Putting the values and solve for the height:

39.442 = 4.1 x 3.7 x height

Simplifying this equation, we get:

39.442 = 15.27 x height

Dividing both sides by 15.27, we get:

height = 2.585 meters

Therefore, the height of storage container is 2.585 meters.

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Related Questions

A website is selling balance beams for $84, but mentions that they originally cost $112. What
is the discount percentage?
Write your answer using a percent sign (96)

Answers

Answer:

25%

Step-by-step explanation:

$112 × X =$84

X= 84/112

X=0.75

Converting to a percent is to multiply by 100

75%

$112-$84 = $28

25%

Answer: 25%

Step-by-step explanation:  $112 × X =$84                                   X= 84/112             X=0.75            Converting to a percent is to multiply by 100              75%            $112-$84 = $28                 25%

can i please have brainliest i need it

L 2.2.3 Quiz: Adding and Subtracting Like Fractions
Question 4 of 15
When fractions have the same denominator, their also has the same
denominator.
A. sum
B. numerator
C. product
D. dividend
SUBMIT

Answers

Answer:

A: sum

Step-by-step explanation:

For adding or subtracting fractions, the denominators of the concerned fractions need to be equal.

a research team conducted a survey to check what proportion of preschool children in the hillsborough county who are not vaccinated. a random sample of 150 preschool children in hillsborough county revealed that only 60 had been vaccinated. what is the point estimate for the true proportion? [ select ] what is maximal margin of error (e) at 95% confidence? [ select ] construct a 95% confidence interval for the true proportion of interest.

Answers

The point estimate for the proportion of preschool children in Hillsborough County who are not vaccinated is 0.6 or 60%.

The point estimate for the true proportion of preschool children in Hillsborough County who are not vaccinated can be calculated by dividing the number of unvaccinated children in the sample by the total number of children in the sample

Point estimate = Number of unvaccinated children / Total number of children in sample

Since the sample size is 150 and the number of vaccinated children is 60, the number of unvaccinated children can be found by subtracting the number of vaccinated children from the total sample size

Number of unvaccinated children = Sample size - Number of vaccinated children

Number of unvaccinated children = 150 - 60 = 90

Therefore, the point estimate for the proportion of preschool children in Hillsborough County who are not vaccinated is

Point estimate = 90/150 = 0.6 or 60%

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The given question is incomplete, the complete question is:

A research team conducted a survey to check what proportion of preschool children in the hillsborough county who are not vaccinated. a random sample of 150 preschool children in hillsborough county revealed that only 60 had been vaccinated. what is the point estimate for the true proportion?

Estimate the measure of this angle within 15°.

Answers

Answer:

Step-by-step explanation:

what is the contrapositive of if a radio station is playing music, then the radio station is playing an elvis song.

Answers

The original statement simply makes a conditional assumption and does not specifically declare that all of the music play by a radio station was Elvis music.

The declaration "If a station of radio plays music, then that radio station are playing the Elvis song" has the contrapositive "If it's a radio station refuses to play a Elvis song, then this radio station is without playing music."

A conditional statement's contrapositive reverses the premise and conclusion and rejects both. The original assertion and the contrapositive are logically equal, thus if the former is true, the latter is likewise true, but vice versa.

In this instance, the contrapositive argument claims that a radio station can't be playing music if it isn't playing an Elvis song. This could be taken to mean that whenever the radio station plays music, it must be an Elvis song.

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What is one thing you would not do when finding the
question in a word problem?

Look for a problem
A) similar to the word problem you
are trying to solve.

B) The question may not be directly
stated.

C) So you can understand what the
facts are in the word problem.

D) To define your strategy or game plan to solve the word problem.

Answers

One thing you would not do when finding the question in a word problem is: A) Look for a problem similar to the word problem you are trying to solve.

How to solve equation word problems?

One of the general five steps that are recommended to solving algebra word problems are:

1) Read through the problem carefully, and figure out what it's about.

2) Represent unknown numbers with variables.

3) Translate the rest of the problem into a mathematical expression.

4) Solve the problem.

5) Check your work

However, when we look at the options, it will seem logical that one thing you will not do is to Look for a problem similar to the word problem you

are trying to solve.

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which statement correctly describes the graph of…

Answers

The statement which correctly describes the graph of y = f (x + 3) - 9 is; Choice C; It is the graph of f(x) translated 9 units down and 3 units left.

Which answer choice correctly describes the graph of y = = f (x + 3) - 9?

It follows from the task content that given; f(x) = x³ , the answer choice which represents the description of the graphics to be identified.

Recall; y = f (x + k) where k is positive represents a k units shift to the left. while y = f(x) - k where k is positive represents a k units shift downwards.

Ultimately, the correct description is; Choice C; It is the graph of f(x) translated 9 units down and 3 units left.

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Modeling London's
Population
Task
The table below shows historical estimates for the
population of London.
Year
1801
1821 1841 1861 1881
1901 1921 1939
1961
London
population 1,100,000 1,600,000 2,200,000 3,200,000 4,700,000 6,500,000 7,400,000 8,600,000 8,000,000
No data was available in 1941 because of the war.
a. Can the London population data be accurately
modeled by a linear, quadratic, or exponential function?
Explain.
b. A logistic growth equation can be written in the form
a
P(1) = 1 + e-b(t-c)
where a, b, and care positive numbers and t represents
time measured in years. Using the application supplied,
determine if the London population data can be
accurately modeled by a logistic equation.
a
c. Explain the shape of the graph of P in terms of the
structure of the equation P(t) = 1). What impact do
the values of a, b, and c have on the graph of P?

Answers

a. Models featuring a linear function are not appropriate for representing London's population data due to its steadily growing exponent over time, as opposed to a fixed rate.

b. Computing the parameters a, b, and c of the logistic growth equation necessitates employing an application, however the language of this model does not offer this capability.

How to explain the model

The logistic growth equation P(t) = 1 / [1 + e^(-b(t-c))] has an S-shaped curve, indicative of a population commencing with a slow growth, then rapidly propagating towards its carrying capacity (represented by parameter a), before ultimately hitting an equilibrium near the maximum size.

Parameters a, b, and c in the equation respectively symbolize the highest sustainable populous, rate of growth, and peak point at which the increase is most pronounced. Variations of value among these three determine the graph of P; higher figures of a result in more spacious upper limit, larger values of b indicate a higher rise pace, whilst bigger results of c cause the inflection juncture to appear later.

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Lacey is making a birthday card for her friend. She has 19. 8 inches of ribbon to use as a border. She wants the length of the card to be 1. 2 times its width

Answers

This matches the amount of ribbon that Lacey has, so our answer is correct.

What is length?

The word "length" is used to describe an object's size or the separation between two points. Length is a measurement of an object's length or the separation between two places. An object's length, or longest side, is known as its extended dimension. For instance, the ruler in the image is 15 cm long.

Let's assume the width of the card to be "x" inches. According to the problem, the length of the card will be 1.2 times the width, so it will be 1.2x inches long.

To find the amount of ribbon needed for the border, we need to add up the lengths of all four sides of the card. The top and bottom sides will each be "x" inches long, and the left and right sides will each be 1.2x inches long.

So, the total length of ribbon needed will be:

2x + 2(1.2x) = 2x + 2.4x = 4.4x

According to the problem, Lacey has 19.8 inches of ribbon, so we can set up the equation:

4.4x = 19.8

Solving for x, we get:

x = 4.5

Therefore, the width of the card is 4.5 inches and the length is 1.2 times the width, which is:

1.2 × 4.5 = 5.4 inches

To check our answer, we can calculate the total length of ribbon needed:

2(4.5) + 2(5.4) = 9 + 10.8 = 19.8

This matches the amount of ribbon that Lacey has, so our answer is correct.

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Which statement regarding the diagram is true?

m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°

Answers

The true statement regarding the diagram is this: m∠WXY = m∠YXZ.

What is the true statement?

In the diagram, we find that angles WXY and angle YXZ are supplementary. The meaning of this is that the two angles add up to give 180 degrees. First, we have the angle that is at 90 degrees while the second angle is also at 90 degrees.

When we add these two together, we arrive at 180 degrees. So, the two angles are supplementary and equal thus, we can arrive at the conclusion that m∠WXY = m∠YXZ.

Complete Question:

The image is a straight line with points W, X, Z, and an angle with axis Y, appended at 45°.

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the kyoto protocol was signed in 1997, and required countries to start reducing their carbon emissions. the protocol became enforceable in february 2005. in 2004, the mean co2 emission was 4.87 metric tons per capita. in 2010, the co2 emissions for a random sample of 38 countries were collected. is there enough evidence to show that the mean co2 emission is lower in 2010 than in 2004? state the random variable, population parameter, and hypotheses.

Answers

By collecting a random sample of countries in 2010 and using a one-sided t-test for the difference in means, we can determine if there is enough evidence to reject the null hypothesis and conclude that there is a difference in mean CO₂ emissions between the two years.

To formulate the hypotheses, we need to state our null hypothesis and alternative hypothesis. The null hypothesis (H0) is the statement that there is no difference between the mean CO₂ emissions in 2004 and 2010. The alternative hypothesis (Ha) is the statement that there is a difference between the mean CO₂ emissions in 2004 and 2010.

In symbols, we can write the hypotheses as:

H₀: μ₂₀₁₀ - μ₂₀₀₄ = 0

Hₐ: μ₂₀₁₀ - μ₂₀₀₄ < 0

where μ₂₀₁₀ is the true mean CO₂ emissions per capita in 2010, μ₂₀₀⁴ is the true mean CO₂ emissions per capita in 2004, and < 0 indicates that we are testing for a decrease in mean CO₂ emissions.

To test these hypotheses, we can use a one-sided t-test for the difference in means. We would collect a random sample of countries in 2010 and calculate the mean CO₂ emissions per capita for that sample.

We would then use this sample mean and the sample standard deviation to calculate a t-statistic, which measures how far the sample mean is from the null hypothesis mean of 0.

If the t-statistic is large enough, we can reject the null hypothesis and conclude that there is enough evidence to show that the mean CO₂ emissions in 2010 are lower than in 2004.

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Find the zeros of the function f(x)=1.1x^2-9x+10.8

Answers

Answer:9x+10.8

Step-by-step explanation:

Which expression is equivalent to -3(2x - 8) + 4x?
A
B
C
D
-2x-8
-2x + 24
-10x8
-10x + 24

Answers

We distribute -3 to 2x and -8, and then we calculate the two multiplications.

We calculate -6x + 4x = -x(6 - 4) = -2x

[tex] \bf - 3(2x - 8) + 4x = \\ \\ \bf = - 3 \cdot 2x - 3 \cdot ( - 8) + 4x = \\ \\ \bf = - 6x + 24 + 4x = \\ \\ \bf = - 6x + 4x + 24 = \\ \\ \bf = - 2x + 24[/tex]

The answer is B -2x + 24

Hope that helps! Have a nice day! :)


Which question can be answered by solving the inequality 7x < 50?

Answers

Answer:

The inequality 7x < 50 can be used to answer questions that involve finding the maximum value of x that satisfies the inequality. Specifically, we can solve this inequality to find the largest value of x such that 7x is less than 50.

For example, if x represents the number of hours you can work in a week and you are paid $7 per hour, then 7x represents your weekly earnings. If you want to earn less than $50 per week, the inequality 7x < 50 would be relevant. Solving this inequality would tell you the maximum number of hours you can work per week to earn less than $50.

Another example could be finding the maximum number of items you can purchase if each item costs $7 or less and you have $50 to spend. In this case, x would represent the number of items you can purchase, and 7x represents the total cost of the items. Solving the inequality 7x < 50 would give you the maximum number of items you can purchase while spending less than $50.

So, the question that can be answered by solving the inequality 7x < 50 depends on the context in which it is being used.

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What is the equation of the blue line

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick points (0,1) (1,4)

We see the y increase by 3 and the x increase by 1, so the slope is

m = 3

Y-intercept is located at (0,1)

So, the equation of the line is y = 3x + 1

ARCS, SEMICIRCLES AND CENTRAL ANGLES


d)
e)
f)
d)

Answers

The arc as shown in the attached figure is representing the option b. major arc.

In the attached figure of circle,

A minor arc is the arc of the circle having measure less than 180 degrees.

Here measure of arc CDE is greater than 180 degrees.

This implies,

Arc CDE is not a minor arc.

A major arc is the arc of the circle having measure greater than 180 degrees.

Here measure of arc CDE is greater than 180 degrees.

This implies,

Arc CDE is a major arc.

A semicircle is the arc of the circle having measure equal to 180 degrees.

Here measure of arc CDE is greater than 180 degrees.

This implies,

Arc CDE is not a semicircle.

A chord is line segment whose end point are on the circle.

Here CDE represents an arc.

It is not a chord.

Therefore, from the attached figure arc CDE describes it is a option b. major arc.

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The given question is incomplete, I answer the question in general according to my knowledge:

What does CDE describe?

a. a minor arc

b. a major arc

c. a semicircle

d. a chord ​

18. What was Runner A's speed at 15 sec.?
Use the 200 Meter Daih
graph to answer the
following questions about
Runner A
Runners
Punner C
5 m/s
10 m/s
10 m/s2
15 m/s
Distance (m)
250
200
150
100
50
0
200 Meter Dash
5
10 15
Time (sec)
20 25

Answers

Answer:

10 m/s

Step-by-step explanation:

Based on the graph, at 15 seconds, Runner A had a speed of approximately 10 m/s.

A new cylindrical can with a diameter of 6 cm is being designed by a local company. The surface area of the can is 150 square centimeters. What is the height of the can? Estimate using 3.14 for n, and round to the nearest hundredth. Apply the formula for surface area of a cylinder SA = 2B + Ph.

Answers

The height of the can is 4.96 cm

The formula for surface area of a cylinder is,

SA = 2B + Ph

where B represents the area of one base.

P is the perimeter of the base

and h is the height of the cylinder

Here, the diameter of the can is 6 cm

so, the radius r would be 6/2 = 3 cm

The base of the can is circular.

Using the formula for the area of circle the base area would be,

B = π × r²

B = π × 3²

B = 28.27 sq. cm.

And the perimeter of the circular base is nothing but the circumference of circle.

P = 2πr

P = 2π(3)

P = 6π

P = 18.85 cm

Here, SA = 150 sq.cm.

Substituting values in above formula,

SA = 2B + Ph

150 = 2(28.27) + (18.85)h

h = (150 - 56.54) /  (18.85)

h = 4.96 cm

This is the required height of the can.

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pls help me
Leon is making a cake for the first time. His recipe calls for 280 grams of sugar, but he accidentally pours 295 grams on his first try. He uses a small spoon to remove the extra sugar. If he needs to remove 12 spoonfuls, how many milligrams of sugar does his spoon hold?

Answers

Answer:

1250 milligrams

Step-by-step explanation:

He adds an extra 15 grams, or 15000 milligrams, of sugar. The small spoon can scoop up 15000 milligrams in 12 spoonfuls. So it scoops up (15000/12) or 1250 milligrams per scoop.

the drying times for a certain type of cement are normally distributed with a standard deviation of 68 minutes. a researcher wishes to estimate the mean drying time for this type of cement. find the sample size needed to assure with 99% confidence that the sample mean will not differ from the population mean by more than a margin of error of 7 minutes

Answers

By increasing the sample size to 248, the researcher can be more confident in their estimate of the mean drying time for the type of cement being studied.

To determine the sample size required to estimate the mean drying time for a certain type of cement, the following formula can be used:

[tex]n = ((Zα/2 \times σ) / E)^2[/tex] where: Zα/2 is the critical value of the standard normal distribution for the desired confidence level (99% in this case), which is 2.576 σ is the standard deviation of the population (68 minutes)E is the maximum margin of error that can be tolerated (7 minutes).

Substituting these values into the formula, we get:

[tex]n = ((2.576 \times 68) / 7)^2[/tex] = 247.36. Rounding up to the nearest whole number, the sample size required is 248.

This means that if the researcher takes a random sample of 248 drying times and calculates the mean drying time, with 99% confidence we can say that the true population mean drying time is within plus or minus 7 minutes of the sample mean.

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Help me! Match the angle inscribed in a circle to the measure of its intercepted arc.
(Best answer gets brainliest)

Answers

Angle ∠B = 35 degrees then Intercepted arc AC  is 70 degrees

∠B = 31 degrees then Intercepted arc AC  is 62 degrees

∠B = 28 degrees then Intercepted arc AC  is 56 degrees

∠B = 17 degrees then Intercepted arc AC  is 34 degrees

∠B = 42 degrees then Intercepted arc AC  is 84 degrees

Using the inscribed angle theorem, we have

∠B=1/2AC

When ∠B is 35 degrees

Intercepted arc AC = 2×35 =70 degrees

When ∠B is 31 degrees

Intercepted arc AC = 2×31 =62 degrees

When ∠B is 28 degrees

Intercepted arc AC = 2×28 =56 degrees

When ∠B is 17 degrees

Intercepted arc AC = 2×17 =34 degrees

When ∠B is 42 degrees

Intercepted arc AC = 2×42 =84 degrees

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a 30-60-90 triangle has a hypotenuse with a length of 10 feet. what are the lengths of the short leg and the medium leg?

Answers

The short leg of the 30-60-90 triangle with a hypotenuse of 10 feet is 5 feet, and the medium leg is approximately 8.66 feet.

A 30-60-90 triangle is a special right triangle in which the angles measure 30 degrees, 60 degrees, and 90 degrees. The ratio of the sides in this type of triangle is always 1:√3:2, with the shortest side opposite the 30 degree angle.
In this case, the hypotenuse is given as 10 feet, which is the longest side of the triangle and opposite the 90 degree angle.

To find the length of the short leg opposite the 30 degree angle, we can use the ratio mentioned above and multiply the hypotenuse length by 1/2, giving us a length of 5 feet.
To find the length of the medium leg opposite the 60 degree angle, we can use the same ratio and multiply the hypotenuse length by √3/2, which gives us approximately 8.66 feet.

Hence, the short leg of the 30-60-90 triangle is 5 feet and the medium leg is approximately 8.66 feet, given a hypotenuse length of 10 feet.

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You are a landscape designer and have been hired to design a circular garden for a client. The garden will be on a rectangular plot of land and must fit within a certain area. Your task is to use the distance formula and equation of the circle to design the garden that meets the client's specifications. The rectangular plot of land measures 50 feet by 60 feet. The circular garden must have a diameter of 40 feet. The center of the garden must be located 10 feet from one of the corners of the rectangular plot of land. The area of the garden must be at least 1256. 64 square feet

Answers

To design a circular garden that meets the client's specifications, we can follow these steps:

Step 1: Determine the coordinates of the center of the circular garden.

Given that the circular garden must be located 10 feet from one of the corners of the rectangular plot of land, we can assume that the center of the circular garden will be at a point (x, y) that is 10 feet away from one of the corners. Let's say the rectangular plot of land has corners at (0, 0), (50, 0), (50, 60), and (0, 60) (assuming a coordinate system with the bottom left corner of the plot as the origin). If the circular garden is 10 feet away from the corner at (0, 0), then the center of the circular garden will be at (x, y) = (10, 10).

Step 2: Write the equation of the circle.

The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Plugging in the values for the center of the circular garden and the diameter of 40 feet (which gives a radius of 20 feet), we get:

(x - 10)^2 + (y - 10)^2 = 20^2

Step 3: Ensure that the circular garden fits within the rectangular plot of land.

Since the circular garden must fit within the rectangular plot of land, we need to make sure that the coordinates of the center of the circular garden and the diameter of the circle do not exceed the dimensions of the rectangular plot. In this case, with a rectangular plot of 50 feet by 60 feet, the coordinates of the center of the circular garden at (10, 10) and a diameter of 40 feet (radius of 20 feet) would fit within the rectangular plot.

Step 4: Calculate the area of the circular garden.

The area of a circle with radius r is given by the formula:

Area = π * r^2

In this case, with a radius of 20 feet, the area of the circular garden would be:

Area = π * 20^2 = 400π square feet

Step 5: Ensure that the area of the circular garden meets the minimum requirement.

Given that the area of the circular garden must be at least 1256.64 square feet, we can check that the calculated area of 400π square feet meets this requirement.

In conclusion, the circular garden with a center at (10, 10) and a diameter of 40 feet, designed using the distance formula and equation of the circle, would fit within the rectangular plot of land and have an area of 400π square feet, which satisfies the minimum requirement of at least 1256.64 square feet.

in a ping pong tournament consisting of twelve teams, each team plays every other team once. how many games are there?

Answers

If in a ping pong tournament consisting of twelve teams, each team plays every other team once, there are 66 games in the ping pong tournament.

In a ping pong tournament consisting of 12 teams, each team will play against all the other teams exactly once. Therefore, each game will involve two teams, and each team will play a total of 11 games (since there are 11 other teams to play against).

To count the total number of games in the tournament, we can use the formula:

total number of games = (number of teams x number of games per team) / 2

Since there are 12 teams and each team plays 11 games, we have:

total number of games = (12 x 11) / 2

total number of games = 132 / 2

total number of games = 66

It is important to divide by 2 at the end of the formula since each game involves two teams, so the total number of games would be counted twice if we simply multiplied the number of teams by the number of games per team.

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PLEASE HELP IF YOUR GOOD AT (proportional relationships!)

Answers

Answer:

d

Step-by-step explanation:

if we look the numbers are both going up at a constant rate and are in order as the other caulomes next to it

PLS GIVE BRAINLIST

have a good day

It is D

as the numbers progress there is an increased rate in the numbers below... if you know your times table you could relate as 1-3, 2-6, 3-9

hope this helps :)

Find the area of a triangle with a height of 11 inches and a base of 23 inches

Answers

Answer:

Area of a triangle = 126.5 cm²

Step-by-step explanation:

Area of a triangle = (base * height) / 2

Area of a triangle = (23 in * 11 in) / 2

Area of a triangle = 253 in² / 2

Area of a triangle = 126.5 in²

Use the graph to answer the question.
The graph shows the number of meals served each day at two different restaurants.
Meals Served in January
Restaurant A
Restaurant B
30 32 34 36 38 40 42
Restaurant
Based on this data, which restaurant is more likely to serve the greater number of meals on a given day?
Move a letter to the box and a word to the blank to answer the question.
46 48 50 52 54 56 58 60
Number of Meals Served
is more likely to serve a greater number of meals because it has the greater
median
A
range
62 64
interquartile range

Answers

Answer:  median of a: 40

                                 b: 54

Restaurant B is more likely to serve a grater number of meals it it has the grater median

[use median to compare two lets]

Step-by-step explanation:

Find the surface area of a hexagonal pyramid with a apothem of 3 square root of 2 and height of 3

Answers

The surface area of the hexagonal pyramid is 54√3 + 18√6 square units.

The base of the pyramid is a regular hexagon, so we can use the formula for the area of a regular hexagon:

Area of hexagon = (3√3/2)a^2, where a is the length of one side of the hexagon

Since the apothem of the hexagon is 3√2, we can use the relationship between the apothem and the side length:

apothem = (1/2)√3a

Solving for a,

a = 2√6

Substitute the value of a = 2√6 into the formula,

Area of hexagon = (3√3/2)(2√6)^2

= 54√3

Each face is a triangle with a base equal to one side of the hexagon and a height equal to the height of the pyramid, which is given as 3.

Using the formula for the area of a triangle,

Area of one face = (1/2)bh

= (1/2)(2√6)(3)

= 3√6

There are six identical faces, so the total area of the lateral faces is:

Total lateral area = 6(3√6)

= 18√6

Finally, we add the area of the base and the lateral faces to get the total surface area of the pyramid:

= 54√3 + 18√6

Therefore, the surface area of the hexagonal pyramid is 54√3 + 18√6 square units.

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explain why the function g(x)√ x-9 will not have a y intercept

Answers

The function g(x) = √ x-9 does not have a y-intercept.

What is function?

Function is a set of statements that performs a specific task. It is a building block of a program that can be reused over and over again. It can accept inputs, perform certain operations on them, and return a result. Functions provide modularity and structure to a program, and they help to keep code organized and reusable.

The y-intercept of a function is defined as the point where the graph of the function crosses the y-axis. A function will not have a y-intercept if the graph of the function never crosses the y-axis. This is the case for the function g(x) = √ x-9.

The domain of a function is the set of all the possible input values for which the function is defined. The domain of g(x) = √ x-9 is x>9. This means that for any value of x that is less than or equal to 9, the function is not defined. As a result, the graph of the function will never cross the y-axis, since the y-axis contains all the real numbers, including those values of x which are not in the domain of the function. Therefore, the function g(x) = √ x-9 does not have a y-intercept.

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Every day, Patrick's orange juice stand uses 5 bags of oranges. How many days will 1/2 of a bag of oranges last? Write your answer as a fraction or as a whole or mixed number.

Answers

The number of days that 1 / 2 bags would last at Patrick's orange juice would be 2. 4 hours

How to find the number of days ?

To find the number of days that it would take Patrick's orange juice to finish 1 / 2 of a bag, first find the rate at which Patrick's orange juice uses oranges.

5 bags per day is the rate.

This means that the number of days it would take Patrick's orange juice to use 1 / 2 bags would be :

= Number of bags / Bags per day

= 1 / 2 ÷ 5

= 0. 1 days

In hours this is:

= 0. 1 x 24

= 2. 4 hours

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