Write 4.018 x 10^6 in standard form.
A) 401,800
B) 418,000
C) 4,018,000
D) 4,180,000

Answers

Answer 1

Answer:

C) 4,018,000

Step-by-step explanation:

The exponent is 6, making it 10 to the power of 6. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 6 time(s):

4.018 > 4018000


Related Questions

Help me fill in the blanks

6x + __ =3
(__ + 5)

Answers

Answer:

15

2x

Step-by-step explanation:

Imogen says that a circle with radius r has
the same area as a semicircle with radius 2r.
Do you agree with Imogen?
Explain your answer.

Answers

Answer:

Yes, Imogen is correct.

Step-by-step explanation:

The area for a circle is \(A=\pi r\), where A is the area, and r is the radius. The area of a semicircle with a radius two times our first is half of the area of the full circle. The area of a full circle two times the size of the first has two tiimes the area, so half of itis the same as the firsy

2.2 Calculate the following without the use of a calculator. Show all your work. 4-2 x 6² x 3-2 ​

Answers

Answer:

Step-by-step explanation:

4-2 × 6² × 3 - 2  

2 × (6 × 6) × 1

2 × 36 × 1

72

all my work is in image
2.2 Calculate the following without the use of a calculator. Show all your work. 4-2 x 6 x 3-2

The sum good f the digits of two- digit number is 14. The tens digit is the square of a number which is 2 less than the units digit. Find the two-digit number​

Answers

From the given condition the two-digit number​ is 95.

Given that, the sum good f the digits of two- digit number is 14.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the two digit number be xy.

x+y=14 --------(1)

The tens digit is the square of a number which is 2 less than the units digit.

So, x²=y-2 --------(2)

From equation (1) and (2), we have

x²=14-x-2

⇒ x²+x-12=0

⇒ x²+4x-3x-12=0

⇒ x(x+4)-3(x+4)=0

⇒ (x+4)(x-3)=0

⇒ x=3

Given tens digit is the square of a number, so 3²=9.

Now, x+y=14

⇒ y=5

Thus, two digit number is 95.

Therefore, from the given condition the two-digit number​ is 95.

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ABCD is a quadrilateral that has a four right angle What is the most accurate way to classify this quadrilateral ​

Answers

Answer:

A rectangle

Step-by-step explanation:

A square can be a rectangle but a rectangle can't always be a square.

A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15. Predict which statements are true about the intervals of the continuous function. Check all that apply. f(x) > 0 over the interval (−, 3). f(x) ≤ 0 over the interval [0, 2]. f(x) 0 over the interval (–2, 0). f(x) ≥ 0 over the interval [2, ).

A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative

Answers

Answer:

2nd, 4th, 5th

Step-by-step explanation:

Options 2, 4  and 5 are correct.

The intervals that satisfies the condition are

f(x)<=0 over the interval [0,2]

f(x)>0 over the interval (-2,0)

f(x)>=0 over the interval [2,∞)

Given : The table with x  and f(x) values

Lets analyze the table and check the each option that satisfies f(x) or not .

Look the values of x that is from -3 to 3, the f(x) values are both positive and negative . So f(x)>0 is false over the interval (-∞,3)

From the interval 0 to 2, the f(x) values are 0 and negative .

So , f(x)<=0 over the interval [0,2]

Over the interval (-1,1), f(x) values are both positive and negative

So, f(x)<0 is false over the interval (-1,1)

In the interval (-2,0) , the f(x)  is positive.

So , f(x)>0 over the interval (-2,0)

In the interval  [2,∞), f(x) is positive

So , f(x)>=0 over the interval [2,∞)

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Select the correct answer. Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132? A. (5,12) B. (-7,-3) C. (-6,-10) D. (6,23)

Answers

Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: \((x + 7)^2 + (y - 10)^2 = 13^2\)

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

Option A (5,12)

When x=5, y=12

\((5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2\)

Option B (-7,-3)

When x=-7, y=-3

\((-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2\)

Option C (-6,-10)

When x=-6, y=-10

\((-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2\)

Option D (6,23)

When x=6, y=23

\((6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2\)

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.

Find the surface area of the triangular prism. ______ square centimeters​

Find the surface area of the triangular prism. ______ square centimeters

Answers

Step-by-step explanation:

there is answer in the image above

Find the surface area of the triangular prism. ______ square centimeters

The area of the surface of the swimming pool is 210 square feet. what is the length of the deep end?

Answers

The length of the deep end is 12 feet of the swimming pool.

Given: Area of the swimming pool is 210 square feet

Width of the pool = 10 feet

The length of the shallow end is 9 feet and the length of the deep end is d.

To find the value of d.

Let's solve the problem.    

The area of the swimming pool is 210

The width is 10

The deep end length is d

The shallow end length is 9

The total length of the swimming pool = The length of the deep end + The length of the shallow end

=> d + 9

Therefore, the total length of the swimming pool is d + 9

The surface of the swimming pool is rectangular, so

The area of rectangle = width × length

Therefore,

area of swimming pool = width of the pool × length of the swimming pool

=> 210 = 10 × (9 + d)

or 10 × (9 + d) = 210

Dividing both sides by 10:

10 × (9 + d) / 10 = 210 / 10

9 + d = 21

Subtracting 9 on both sides:

9 + d - 9 = 21 - 9

d = 12

Therefore the length of the deep end is 12 feet

Hence the length of the deep end is 12 feet of the swimming pool.

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The area of the surface of the swimming pool is 210 square feet. what is the length of the deep end?

The length of the deep end of the swimming pool is 12 feet.

We are given that:

The Area of the swimming pool = 210 square feet

width of the swimming pool = 10 feet

Length of shallow end = 9 feet

Let the length of the deep end be d.

Total length of the swimming pool = length of deep end + length of shallow end =  d + 9

Area of swimming pool = width × length

Substituting the values, we get that:

210 = 10 × (9 + d)

9 + d = 21

d = 12

Therefore the length of the deep end of the swimming pool is 12 feet.

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The distributive property simplify each expression. Question 3. 3(4+3r)

Answers

Answer:

12 + 9r

Step-by-step explanation:

3(4 + 3r)

= 12 + 9r

Answer:

12 + 9r

Step-by-step explanation:

just multiply 3 by 4 and then 3r.

Mr. Falkner has written a company report every 3 months for the last 6 years. If şof the reports show his company earned more money than it spent, how many reports show his company spent more money than it earned?​

Answers

Mr. Falkner wrote 24 company reports over 6 years, and half of them (12) showed the company earning more money than it spent, while the other half (12) showed the company spending more money than it earned.

Mr. Falkner has been writing company reports for the past 6 years, and he has written a report every 3 months. That means he has written 24 reports in total (6 years x 4 quarters per year). Out of those 24 reports, we know that half of them (12) showed that his company earned more money than it spent. Therefore, the other half of the reports (12) must have shown that his company spent more money than it earned.
It's important to note that we cannot determine which specific reports showed the company spending more than it earned based on the information provided. However, we do know that it happened in 12 out of the 24 reports.

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you have been working on an item for a while and after a few missteps you've come up with an answer. however, there is one particular thing that you're not 100 %% sure of. what should you do? select all that apply.

Answers

We solved a problem after several missteps. One thing we are not certain of. We should:

"Check for any hints that address the part of the calculation you're unsure about." (A)"Return to the question after you've spoken with an instructor or classmate." (B)"Submit your answer and then adjust it according to any feedback you receive." (C)

When we are unsure about a part of a calculation, it is a good idea to check for hints that address that part of the calculation. This can help us confirm or correct your understanding of the problem. In addition, speaking with an instructor or classmate can provide valuable insight and help clarify any confusion.

Finally, if we still feel unsure, submitting our answer and then adjusting it based on feedback can help us improve our understanding and knowledge of the material. All of these options can help ensure that we have the most accurate and complete understanding of the problem.

 

This question should be provided with answer choices, which are:

A. Check for any hints that address the part of the calculation you're unsure about.B. Return to the question after you've spoken with an instructor or classmate.C. Submit your answer and then adjust it according to any feedback you receive.D. None of the above.

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How many acres are contained in the parcel described as the SW ¼ of the SE ¼ of the NW ¼ of Section 15?

Answers

To determine the number of acres in this parcel, we need to understand the subdivision of sections and the corresponding acreage.  The parcel described contains approximately 10 acres.

A section is a unit of land commonly used in the United States, measuring approximately one square mile or 640 acres. Each section can be further divided into smaller portions, such as quarters (¼) or sixteenths (1/16).

In this case, the SW ¼ of the SE ¼ of the NW ¼ indicates a subdivision of land within Section 15. Each "¼" represents a division of the section into four equal parts. Starting from the NW (northwest) corner, the first "¼" indicates the NW quarter of Section 15. Within this quarter, the second "¼" represents the SE (southeast) quarter, and finally, the third "¼" represents the SW quarter.

To calculate the number of acres, we need to know the total number of acres in Section 15. Since a section typically contains 640 acres, we can calculate the acreage of the specific parcel by multiplying the fractions. In this case, it would be (1/4) * (1/4) * (1/4) * 640 = 10 acres.

Therefore, the parcel described as the SW ¼ of the SE ¼ of the NW ¼ of Section 15 contains approximately 10 acres.

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Alright, so let's say an investment is costing $318 and earn a rate of 9% over one year. OK now that you heard me, find the SIMPLE interest.

Answers

Answer:

9 and 40investment is costing 542

4. Using the functions for each student, predict how many shares each student's post will be received on Day 3 and then on Day 10. Justify your answers.
5. If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)X + 45. How does this graph compare with the original graph of Amber's photo share?
6. Based on your results, which students' post travels the fastest? How is this shown in the equation form of the functions?
7. If you had to choose, would you prefer a post with fewer friends initially but more shares, like Amber, or more friends initially but fewer shares? Justify your answer with your calculations from previous questions.

Answers

Student A has the highest shares for both Day 3 and Day 10. Student B has the lowest shares for both Day 3 and Day 10. This is because the growth rate of the function of student A is the highest (1.4 > 1.3 > 1.2)

4. The functions for each student to predict how many shares each student's post will be received on Day 3 and then on Day 10 are: For Student A: f(x) = 100(1.4)^x

On Day 3, the function for student A can be written as f(3) = 100(1.4)^3 = 274 shares. On Day 10, the function for student A can be written as f(10) = 100(1.4)^10 = 2,745 shares.

On Day 3, the function for student B can be written as f(3) = 100(1.2)^3 = 172 shares. On Day 10, the function for student B can be written as f(10) = 100(1.2)^10 = 619 shares.

The function for student C is:f(x) = 200(1.3)^xOn Day 3, the function for student C can be written as f(3) = 200(1.3)^3 = 878 shares. On Day 10, the function for student C can be written as f(10) = 200(1.3)^10 = 19,202 shares.

Student A has the highest shares for both Day 3 and Day 10. Student B has the lowest shares for both Day 3 and Day 10. This is because the growth rate of the function of student A is the highest (1.4 > 1.3 > 1.2), while the growth rate of the function of student B is the lowest.5. The new function representing Amber's photo shares is:f(x) = 3(4)x + 45

This function represents the photo shares of Amber after she decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility. The new function is an upward shift of the original function by 45 units.

The new function representing Amber's photo shares has a y-intercept of 45, which means that Amber's photo will be shared by 45 people even if she does not share her photo with anyone.6. The student whose post travels the fastest is student A.

This is because the growth rate of student A's function is the highest, which means that the rate at which shares increase is the fastest. The function for student A is f(x) = 100(1.4)x

The growth rate of the function for student A is 1.4, which is greater than the growth rate of the functions for students B and C.7. If I had to choose, I would prefer a post with fewer friends initially but more shares, like Amber. This is because the value of the function f(x) = 3(4)x + 45 is greater than the value of the function for students B and C.

Although student A has the highest shares, the initial number of friends is lower compared to Amber.

On Day 3, the function representing Amber's photo shares can be written as f(3) = 3(4)3 + 45 = 57 shares. On Day 10, the function representing Amber's photo shares can be written as f(10) = 3(4)10 + 45 = 333 shares.

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in one statistics course students reported studying an average of 9.92 hours a week with a standard deviation of 4.54. treating this class as the population, what is the precentile for a student in the class who studes 8 hourse a week

Answers

The precentile for a student in the class who studies 8 hours a week is 5.74%.

To find the percentile for a student who studies 8 hours a week, we need to first standardize the student's study time by subtracting the mean study time and dividing it by the standard deviation of study time. This will give us the student's z-score. We can then look up the student's z-score in a standard normal table to find the percentile.

The student's z-score is (8 - 9.92) / 4.54 = -1.67.

Looking up -1.67 in a standard normal table, we find that the percentile is about 5.74%. This means that about 5.74% of the students in the class studied for less than 8 hours per week.

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As per the given standard deviation, the percentile for a student in the class who studies 8 hours a week is 50.80%

The term standard deviation in math is known as a measure which shows how much variation from the mean exists.

Here we have given that in one statistics course students reported studying an average of 9.92 hours a week with a standard deviation of 4.54.

Through this details, we have identified that the value of the following are given that,

=> weekly study time = 10 hours

=> average study time = 9.92 hours

=> standard deviation = 4.54 hours

Then the formula to calculate the Test statistic is written as

=> z = (weekly study time - average study time)/standard deviation

Apply the values on it, then we get

=> z = (10 - 9.92)/4.54

=> z = 0.08/4.54 = 0.02

While we take the value of z table, then we get the Cumulative area of the test statistic is 0.5080.

And the percentile is calculated by multiply the value by 100 as,

=> 0.5080 × 100 = 50.80

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PLZ HELP, 3 * 2/15 exsplain how you got it too. i just need an exsplaination. step by step.

Answers

Answer:

2/5

Step-by-step explanation:

you will first put a one for the denomenator for 3 to make it a fraction, then oyu multiply across, lastly simplfy by 3

Answer:

8/15

Step-by-step explanation:

4x2=8

5x3=15

HELP ME PLZZ I NEED HELP WITH THIS!!

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Step-by-step explanation:

7/5(1/7)(-10)

=(1/5)(-10)

=-2

please help me with this slope intercept form

please help me with this slope intercept form

Answers

Answer:

5x+3=8

Step-by-step explanation:

this is the answer

whats the inequality of
7(x+1)-6x7-8

Answers

Answer: −6x7+7x−1

Step-by-step explanation:

Distribute:

=(7)(x)+(7)(1)+−6x7+−8

=7x+7+−6x7+−8

Combine Like Terms:

=7x+7+−6x7+−8

=(−6x7)+(7x)+(7+−8)

2: Angle 1 and Angle 4 are vertical angles. If the measure of angle 1 equals 3x + 14 and the

measure of angle 4 equals 5x − 52, what is the measure of Angle 1?

3: Suppose that ∠ = 3x + 8 and ∠ = 2/3x + 62

If ∠ and ∠ are supplementary

angles, what is the measure of ∠?

4:Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the

measure of angle 3 equals 9x + 59, find the value of .

Answers

Each part of the question is answered above and the angles are given below.

What are angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.

Given are the angles as mentioned in the question.

[1] -

Since, angle [1] and angle [4] are vertically opposite angles, we can write-

3x + 14 = 5x - 52

14 + 52 = 5x - 3x

2x = 66

x = 33

∠1 = 3x + 14 = 3 x 33 + 14 = 99 + 14 = 113°

∠1 = 113°

[2] -

Since, angle [A] and angle [B] are supplementary angles, we can write-

(3x + 8) + {(2/3)x + 62} = 180

3x + 8 + 62 + (2/3)x = 180

3x + (2/3)x = 110

x{3 + 2/3} = 110

x{(9 + 2)/3} = 110

(11/3)x = 110

x = (110 x 3)/11

x = 30

∠A = 3x + 8 = 3 x 30 + 8 = 98°

∠A = 98°

∠A = (2/3)x + 62 = 2/3 x 30 + 62 = 82°

∠B = 82°

[3] -

Since, angle [2] and angle [3] are  vertically opposite angles, we can write -

13x + 27 = 9x + 59

13x - 9x = 59 - 27

4x = 32

x = 8

∠2 = 13x + 27 = 13 x 8 + 27 = 104 + 27 = 131°

∠2 = 131°

∠3 = 9x + 59 = 9 x 8 + 59 = 72 + 59 = 131°

∠3 = 131°

Therefore, each part of the question is answered above and the angles are given above.

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I need help with this. Plspslpsss help me

I need help with this. Plspslpsss help me

Answers

Step-by-step explanation:

1. k = 32

k + 19 = 51

32 + 19 = 51

51 = 51

correct, so, k=32 is a valid solution.

2. x = 43

16 = x - 27

16 = 43 - 27

16 = 16

correct, so, x = 43 is a valid solution.

3. m = 9

28 - m = 17

28 - 9 = 17

19 = 17

wrong. so, m = 9 is NOT a valid solution.

4. y = 8

y + 19 = 27

8 + 19 = 27

27 = 27

correct, so, y = 8 is a valid solution.

5. p = 22

19 = p + 3

19 = 22 + 3

19 = 25

wrong. so, p = 22 is NOT a valid solution.

6. r = 11

4 + r = 15

4 + 11 = 15

15 = 15

correct, so, r = 11 is a valid solution.

7.

a - 8 = 9 adding 8 to both sides

a = 17

8.

v + 13 = 15 subtracting 13 from both sides

v = 2

9.

16 = n - 24 adding 24 to both sides

40 = n or n = 40, of course

10.

c - 9 = 16 adding 9 to both sides

c = 25

11.

11 + k = 18 subtracting 11 from both sides

k = 7

12.

15 = w - 7 adding 7 to both sides

22 = w or w = 22, of course

Find the area of the rectangle to the right. 9 inches for width and 5y inches for the length

Answers

Answer:

The area is 45 inches

Step-by-step explanation:

L×W=A

PLS HELP ASAP (100 POINTS) The line of best fit for the following data is represented by y = 0.81x + 6.9.


x y
3 9
6 9
5 13
7 13
8 16
8 11


What is the sum of the residuals? What does this tell us about the line of best fit?

A. 0.37; This indicates that the line of best fit is not very accurate and is a good model for prediction.
B. −0.37; This indicates that the line of best fit is accurate and is an overall a good model for prediction.
C. 0; This indicates that the line of best fit is very accurate and a good model for prediction.
D. 0; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Answers

Answer:

B. −0.37; This indicates that the line of best fit is accurate and is an overall good model for prediction.

Step-by-step explanation:

y = 0.81x + 6.9

residual value = Measured value - Predicted value

Measured value = actual y-coordinate of the point, y

Predicted value = value of y from the equation, y1

residual value = (actual y-coordinate of the point, y) - (value of y from the equation, y1)

residual value = y - y1

x y        y1                residual (y-y1)

3 9     9.33                    -0.33

6 9     11.76                    -2.76

5 13     10.95                   2.05

7 13    12.57                    0.43

8 16     13.38                    2.62

8 11     13.38                   - 2.38

Sum of residuals:

sum = (-0.33) +(-2.76)+(2.05)+(0.43)+(2.62)+(-2.38)

sum of residuals = -0.37

ANSWER:

B. −0.37; This indicates that the line of best fit is accurate and is an overall good model for prediction.

(Though not very accurate as it should have been if the sum of residuals was equal to 0).

A total discrepancy of -0.37 is not too bad.

Answer:Answer:

B. −0.37;

This indicates that the line of best fit is accurate and is an overall good model for prediction.

Step-by-step explanation:

y = 0.81x + 6.9

residual value = Measured value - Predicted value

Measured value = actual y-coordinate of the point, y

Predicted value = value of y from the equation, y1

residual value = (actual y-coordinate of the point, y) - (value of y from the equation, y1)

residual value = y - y1

x y        y1                residual (y-y1)

3 9     9.33                    -0.33

6 9     11.76                    -2.76

5 13     10.95                   2.05

7 13    12.57                    0.43

8 16     13.38                    2.62

8 11     13.38                   - 2.38

Sum of residuals:

sum = (-0.33) +(-2.76)+(2.05)+(0.43)+(2.62)+(-2.38)

sum of residuals = -0.37

ANSWER:

B. −0.37; This indicates that the line of best fit is accurate and is an overall good model for prediction.

(Though not very accurate as it should have been if the sum of residuals was equal to 0).

A total discrepancy of -0.37 is not too bad.

What is 3.2649 rounded to the nearest thousandth

Answers

Answer:

what is 3.2649 rounded to the nearest thousandth is 3.265.

3.265 is the rounded to nearest thousandth value of 3.2649

What is meant by rounding to the nearest thousandth?

"The rounding of numbers to the nearest thousandth means rounding of any decimal numbers to its nearest thousandth value. In the decimal system, thousandth means (1/1000) or 0.001. For example, the number 3.1249 rounded to its nearest thousandth is 3.125."

Given

Number = 3.2649

In this number,

Place value of 3 is ones

Place value of 2 is tenth

Place value of 6 is hundredth

Place value of 4 is thousandth

Place value of 9 is ten thousandth

Rounding to the nearest thousandth

Remove 9 because we need only nearest thousandth value of 3.2649

∴ 3.2649 = 3.265 ( nearest thousandth )

Thus, 3.265 is the nearest thousandth value of 3.2649.

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List the cones described below in order from least volume to greatest volume. • Cone 1: radius 11 cm and height 9 cm • Cone 2: radius 8 cm and height 14 cm • Cone 3: radius 14 cm and height 8 cm Cone 3, Cone 2, Cone 1 Cone 2, Cone 1, Cone 3 Cone 1, Cone 3, Cone 2 Cone 3, Cone 1, Cone 2

Answers

To compare the volumes of the cones, we can use the formula for the volume of a cone:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Plugging in the given values, we get:

- Volume of Cone 1 = (1/3)π(11 cm)^2(9 cm) ≈ 4190.7 cm^3
- Volume of Cone 2 = (1/3)π(8 cm)^2(14 cm) ≈ 2144.7 cm^3
- Volume of Cone 3 = (1/3)π(14 cm)^2(8 cm) ≈ 6157.3 cm^3

Therefore, the cones in order from least volume to greatest volume are:

Cone 2, Cone 1, Cone 3

So the correct option is "Cone 2, Cone 1, Cone 3".

Victoria wants to take her friends to a movie. She can spend less than $150. The movie ticket costs $10 each, and she also wants to spend $20 for popcorn. What is the possible number of friends she can take to the movie?

Answers

Answer:

5

Step-by-step explanation:

there are 618 cookies and they're going to be split between three people ​

Answers

Answer:

206.

Step-by-step explanation:

Each person will receive 618 / 3

= 206 cookies.

ANSWER: 206

So basically, this is a division problem. The question is 618 divided by 3. The answer is 206. You can always check by saying, what is 206 times 3?

Which parabola below has a maximum value?
a. y = 0.1x2 - 3x
b. y = 4x2 + 24x +23
c. y = 2x - 3x2
d. y = x2 + 2x + 20

Answers

In the given parabola equations, the third equation \(y = 2x - 3x^{2}\) has a maximum value.

What is the Maximum parabola?

If a parabola opens up, it has the lowest point, and if it opens down, it has the highest point. For a parabola to have a maximum value, it must be the case that the parabola opens down. Algebraically, this means that the leading coefficient in the equation of a parabola is negative (a < 0).

We have,

                              \(y = 0.1x^{2} - 3x\\\\y = 4x^{2} + 24x +23\\\\y = 2x - 3x^{2}\\\\y = x^{2} + 2x + 20\)

For a parabola to have a maximum value, the parabola must open downward. Algebraically, this means that the leading coefficient in a parabola equation is negative (a < 0).

By Simplifying the third equation we get its leading coefficient is negative (a < 0).

                              \(y = -3x^{2} + 2x\)

Hence in the given parabola equations, the third equation has a maximum value.

To know more about a parabola's maximum value  visit,

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Find the measure of angle A in the figure below.

Find the measure of angle A in the figure below.

Answers

Answer: 40°

Step-by-step explanation:

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