Rewrite in the simplest rational exponent form (y^2/3)^3/4

Answer:

One side - 15 feet

Second side - 4 feet

Third side - 13 feet

Step-by-step explanation:

Let's call the sides A B and C, respectively.

We know that:

A = B + 11

C = B + 9

and that

A + B + C = 32

Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.

A + B + C = (B + 11) + B + (B + 9) = 32

3B + 20 = 32

3B = 12

B = 4

The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).

Answer:

7

Step-by-step explanation:

I went to school once

Answer:

7

Step-by-step explanation:

i read it wrong at first

Answer:

x = 2

Step-by-step explanation:

Step 1: Write equation

3(x + 2) = 12

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

3(2 + 2) = 12

3(4) = 12

12 = 12

Answer:

When will a firm decision expand, downsize, or close?

hope this helps!!:)

Step-by-step explanation:

Answer:

A: The decision may not be a good one, since it is possible that there is a "lurking" variable, such as income, behind both the number of booked overseas vacations and the number of free days people have each year.

Step-by-step explanation:

The correlation coefficient given alone is not sufficient to find out whether the relationship was linear or not. As such there may be a lurking variable and we may therefore have to see the scatter plot diagram to help us know if the relationship was a linear one or not.

The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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Answer:

I think the answer is six i just searched it  or it could be 12

Step-by-step explanation:

The greatest common factor (GCF) of 48 and 6 is 6, so:

48 - 6 = 42.

this isn't college level *laugh*

Where is the picture I don't see it

In order to directly cite inline code in their explanation of their study, data analysts incorporate it in their R Markdown notebooks.

Inline code or embedded code is a general term for any line of code that is added to the body of a program. When you want a short piece of code (like a function definition or a variable name) to stand out in a paragraph, inline code is a great tool.

Inline code is a type of code that is written in the plain text of the document, not in a separate block of code. It is often used to refer to pieces of code used in a larger programming language.

It is acceptable to write code in any programming language. Inline code is often executed by itself and sometimes by the main program.

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Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

The Answer Will Be D

Step-by-step explanation:
The fuel economy of a car is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour.We need to find the fuel economy of the car when it travels at an average of 20 miles an hour.f(20) = -0.009(20)² +0.699(20) +12f(20) = -0.009(400) +13.98f(20) = 9.6The fuel economy of the car when it travels at an average of 20 miles an hour is 9.6 miles per gallon.Therefore, the answer is option D. 22.38 miles per gallon.

It is not possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training.

what is arthematic equation?

Arithmetic equations are mathematical statements that use numbers and arithmetic operations such as addition, subtraction, multiplication, and division to express the relationship between the quantities involved.

Let's assume that Andrew spends x minutes doing strength training, and according to the problem statement, he spends 60 minutes more running on the treadmill than strength training. So the time he spends running on the treadmill is x + 60.

The total time Andrew spends in the gym is 120 minutes, so:

x + (x + 60) = 120

Simplifying this equation, we get:

2x + 60 = 120

2x = 60

x = 30

Therefore, Andrew spends 30 minutes on strength training and (30 + 60) = 90 minutes on the treadmill.

So, it is not possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training.

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no, it's not possible for andrew to have spent 80 minutes running on the treadmill. if we subtract 80 from 120 (the total) we get 40 which means he had to have spent 40 minutes doing strength training but if we subtract 60 (how many more mins he spent on running than he did strength training) minutes from 80 we get 20. he spent 20 minutes on strength training which adds up to 100 minutes, not 120 minutes.

Answer:

70% in favor of building a new playground  

3500 (in favor) + 1500 (against it) = 5000 (total number votes)

3500 (in favor)                                              1500 (against it)

-------------------    = 0.7 / 70%                          -------------------     =0.3 / 30%

5000 (total)                                                      5000 (total)            

The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

9514 1404 393

Answer:

Step-by-step explanation:

Your have correctly identified the points of intersection, but you need to follow directions in your entry of those answers. "POLE" goes in the first answer slot. You may also be expected to rationalize the denominator, or provide the r value as a single term.

The points of intersection are ...

  POLE

  ((2+√2)/2, 3π/4)

  ((2-√2)/2, 7π/4)

Answer:

Step-by-step explanation:

Given

To find

Solution

Given that

Given that AB = 12, BC =18, AC =24 and RS =16, RT=x

We now use the ratio of the corresponding sides to find side RT( the value of x).

Hence,

Therefore, the value of x (RT) is 32

The energy is compared based on the information given below.

Energy released by burning 1 kilogram of element A = EA = 5.1 * (10)8

Energy released by fission of hydrogen in 1 kilogram of element B = EB = 1.3 * (10)10

Therefore,

Ratio = EB / EA = 1.3 * (10)10 / 5.1 * (10)8 = 25

Thus, the fission of 1 kg of element B releases 25 times as much energy as burning 1 kilogram of element A.

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The other part of the question:

Energy released by burning 1 kilogram of element A = 5.1 times 10 Superscript 8

Energy released by the fission of hydrogen in 1 kilogram of element B = 1.3 times 10 Superscript 10

The percent change in Pilar's shell collection from the beginning of the day to the end is,  22.5%

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Pilar has 40 shells in her collection.

She collects 6 more shells in the morning and 3 more shells in the afternoon.

The percent change in Pilar's shell collection from the beginning of the day to the end = ?

At the beginning of the day, Pilar has 40 shells.

In the morning, she collects 6 more shells, bringing her total to

= 40 + 6

= 46 shells.

Then, in the afternoon, she collects 3 more shells, bringing her total to

=46 + 3

= 49 shells.

To find the percent change in Pilar's shell collection from the beginning of the day to the end, we can use the formula:

percent change = (final value - initial value) / initial value * 100%

Plugging in the values we have:

percent change = (49 - 40) / 40 x 100%

percent change = 9 / 40 x 100%

percent change = 22.5%

Therefore, there is a 22.5% increase in Pilar's shell collection from the beginning of the day to the end.

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x = 14.1

To solve for x in the given right triangle, we use:

6350×90÷10

=6350×9

=57,150

Original Price=57,150

Answer:

The tree is 12.5ft Step-by-step explanation: 1.  TREE'S HEIGHT over TREE'S SHADOW equals WOMAN'S HEIGHT over WOMAN'S SHADOW

2.  TREE'S HEIGHT over WOMAN'S HEIGHT equals TREE'S SHADOW over WOMAN'S SHADOW

or some other ways as long as you pair them up by 'height', or pair them up by

'shadow'.  {But don't get them criss-crossed)

Let TREE's HEIGHT = t.

A tree casts a shadow 7.5 ft long

TREE'S SHADOW = 7.5

at the same time that

a woman 5 ft tall

WOMAN'S HEIGHT = 5

casts a shadow 3 ft long.

WOMAN'S SHADOW = 3

So if you use

1.  TREE'S HEIGHT over TREE'S SHADOW equals WOMAN'S HEIGHT over WOMAN'S SHADOW

cross-multiply:

3t = 37.5

 t = 12.5

or if you use

2.cross-multiply

3t = 37.5

 t = 12.5

Either way, the tree is 12.5 feet tall.    

Answer: I got 12.5 too

Step-by-step explanation:

The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.

The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.

The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.

Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather

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Answer:

The third one.

Step-by-step explanation:

Both A and B are correct and should give you the same answer when you apply the distributive property.

12 * 20 + 2 * 12  = 240 + 24 = 264

22(10) + 22*2 = 220 + 44 = 264

The third one just give anything near 264.

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

According to the regression equation, the predicted Monthly Natural Gas Consumption (ŷ) can be estimated by subtracting 1.07 times the Thickness of Insulation (x1) and 0.64 times the Outdoor Temperature (x2) from 57.25.

The regression equation provided is:

ŷ = 57.25 - 1.07x1 - 0.64x2

Where:

ŷ represents the predicted value of Monthly Natural Gas Consumption (cubic feet)

x1 represents the Thickness of Insulation (inches)

x2 represents the Outdoor Temperature (ºF)

Based on the regression equation, the coefficients indicate the relationship between the independent variables (Thickness of Insulation and Outdoor Temperature) and the dependent variable (Monthly Natural Gas Consumption).

The coefficient for x1 (Thickness of Insulation) is -1.07. This means that, holding the Outdoor Temperature constant, for every 1-inch increase in the Thickness of Insulation, the predicted Monthly Natural Gas Consumption is expected to decrease by 1.07 cubic feet.

The coefficient for x2 (Outdoor Temperature) is -0.64. This means that, holding the Thickness of Insulation constant, for every 1-degree Fahrenheit increase in the Outdoor Temperature, the predicted Monthly Natural Gas Consumption is expected to decrease by 0.64 cubic feet.

The constant term in the equation is 57.25. This represents the predicted Monthly Natural Gas Consumption when both the Thickness of Insulation and Outdoor Temperature are zero.

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