Determine The Sum Of - -5-8-11--------269 b)1-3+9----243

1. The height of the cone is equal to

2. You can solve for the slant height, s by applying Pythagorean's theorem.

3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.

In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:

Volume of cone, V = 1/3 × πr²h

Where:

By substituting the given parameters into the formula for the volume of a cone, we have the following;

8792 =  1/3 × 3.14 × 20² × h

26,376 =  3.14 × 400 × h

Height, h = 26,376/1,256

Height, h = 21 mm.

Question 2.

In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.

Question 3.

By applying Pythagorean's theorem, we have the following:

r² + h² = s²

20² + 21² = s²

400 + 441 = s²

s² = 841

Slant height, s = √841

Slant height, s = 29 mm.

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[Mathematical Problem]

\(9.14\) ÷ \(0.04\)

Solution:

\(228.5\)

Hope this helps! Thanks and good luck!

The number of ways of selecting a committees of 5 members from  a group of 10 people will be 252

Combination is a method to calculate different ways to select items from a set / group regardless of the order.

ⁿCₓ = n! / (n-x)! x!

Total number of people in group is 10

Number of people require to form committee is 5

By using Combination ,

¹⁰C₅ = 10! / (10 - 5 )! 5!

= 10×9×8×7×6×5! / 5! × 5!

Cancelling 5! from numerator and denominator

= 10×9×8×7×6 / 5!

expanding the factorial

= 10×9×8×7×6 / 5×4×3×2×1

= 252

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Answer:

1,498 feet in elevation

Step-by-step explanation:

h² + 1325² = 2000²

h² = 2000² - 1325²

h² = 2244375

h ≈ 1498

Given:

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20.

To find:

The correct statement for the box plot.

Solution:

Lower quartile is 10 and upper quartile is 15, so the box will go from 10 to 15.

Median of the data set is 12, so a line dividing the box will be at 12.

Minimum value is 4 and lower quartile is 10, so the left whisker will go from 4 to 10.

Upper quartile is 15 and maximum value is 20, so the right whisker will go from 15 to 20.

Therefore, the correct option is B.

Answer:

its b

Step-by-step explanation:

took the exam review

Answer:

71

Step-by-step explanation:

Answer:

linear is the answer to your question

Answer:

A-Linear

Step-by-step explanation:

As X increases, Y also increases Linearly (by 3 every time)

The function that fulfills the table is y=3x+3, which is linear

Answer:

Step-by-step explanation:

Pie (π) is an infinite decimal where it goes on forever, and numbers do not repeat in a pattern.

For these reasons, you cannot get all the numbers of pie.

EXTRA

I can provide to you with some of the digits.

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006

Here you go!! :)

The number of subs in the order is 8 or 9

Let's call the number of subs in the order "x".

Since the cost of 3 subs is $20, the cost per sub is $20 / 3 = $6.67.

And since the cost of 4 subs is $26, the cost per sub is $26 / 4 = $6.50.

So the cost per sub is between $6.50 and $6.67.

If the total cost is $56, then the cost per sub must be $56 / x.

So:

x = 56/6.5 or x = 56/6.67

Evalutate

x = 8.6 or x = 8.4

Approximate

x = 9 or 8

Hence, the subs is 8 to 9

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Answer:

25/3

Step-by-step explanation:

8 1/3 as improper fraction ->

multiply 8 to denominator then add numerator

8 * 3 + 1 = 25/3

Answer:

Ewan

Step-by-step explanation:

ewan ko na po sorry po at

kasi hindi kopo maintindihan

tapus hindi naman po ako

magaling

The given system of equations is:

5d + 20e - 10% = -85 …………………..(1)

-20d + 394e = 223 ………………...(2)

4d + 13e = -106 …………………….(3)

We can solve this system of equations using the Gaussian elimination method. In this method, we convert the system of equations into an equivalent system of equations that is easy to solve by eliminating one variable at a time.The elimination process starts by multiplying the equations so that one variable cancels out. We can do this by multiplying both sides of an equation with a constant or by adding or subtracting two equations.

Here, the first equation has a percentage sign which we need to remove.

We can do this by dividing both sides of equation (1) by

10.5d/10 + 20e/10 - 1 = -85/10

⇒ 0.5d + 2e - 1 = -8.5

⇒ 0.5d + 2e = -7.5 ……………………..(4)

Now, we can use equations (2) and (4) to eliminate d.

Multiplying equation (2) by 2 and adding it to equation (4), we get,

2(-20d + 394e = 223) + (0.5d + 2e = -7.5)

⇒ -40d + 788e + 0.5d + 2e = -7.5 + 446

⇒ -39.5d + 790e = 438 ……………………...(5)

Multiplying equation (2) by 5 and adding it to equation (3), we get,

5(-20d + 394e = 223) + (4d + 13e = -106)

⇒ -100d + 1970e + 4d + 13e = -106 + 1105

⇒ -96d + 1983e = 999 ……………………(6)

Now, we can use equations (5) and (6) to eliminate d.

Multiplying equation (5) by 2 and adding it to equation (6), we get,

2(-39.5d + 790e = 438) + (-96d + 1983e = 999)

⇒ -79d + 1563e + (-96d + 1983e) = 876 + 1998

⇒ -175d + 3546e = 2874 …………………..(7)

We can simplify equation (7) by dividing both sides by 7,-25d + 506e = 410 ……………………..(8)

Now, we can use equations (4) and (8) to solve for e.

Multiplying equation (4) by 506/4 and adding it to equation (8), we get,

506/4 × (0.5d + 2e = -7.5) + (-25d + 506e = 410)

⇒ 253d + 506e - 1895 - 25d + 506e = 410

⇒ 228d + 1012e = 2305 ……………………(9)

We can simplify equation (9) by dividing both sides by

4,57d + 253e = 576 ……………………(10)

Now, we can use equations (4) and (10) to solve for d.

Multiplying equation (4) by 57/2 and adding it to equation (10), we get,

57/2 × (0.5d + 2e = -7.5) + (57d + 253e = 576)

⇒ 28.5d + 114e - 214.125 + 57d + 253e = 576

⇒ 85.5d + 367e = 790.125 …………………….(11)

We can simplify equation (11) by dividing both sides by 17,5d + 23e = 46.4166667 …………………….(12)

Now, we can use equations (4) and (12) to solve for e.

Multiplying equation (4) by 23/2 and adding it to equation (12), we get,

23/2 × (0.5d + 2e = -7.5) + (5d + 23e = 46.4166667)

⇒ 11.5d + 46e - 86.625 + 5d + 23e = 46.4166667

⇒ 16.5d + 69e = 133.0416667 ……………………..(13)

We can simplify equation (13) by dividing both sides by 3,5.5d + 23e = 44.3472222 ……………………..(14)

Now, we can use equations (4) and (14) to solve for e.

Multiplying equation (4) by 23 and subtracting it from equation (14), we get,

23 × (0.5d + 2e = -7.5) - (5.5d + 23e = 44.3472222)

⇒ 11.5d - 48.5e = -212.0972222 ……………………..(15)

We can simplify equation (15) by dividing both sides by 1.5,7.6666667d - 32.3333333e = -141.3981481 ……………………..(16)

Now, we can use equations (4) and (16) to solve for e.

Multiplying equation (4) by 32 and adding it to equation (16), we get,

32 × (0.5d + 2e = -7.5) + (7.6666667d - 32.3333333e = -141.3981481)

⇒ 16d + 64e - 240 + 7.6666667d - 32.3333333e = -141.3981481

⇒ 23.6666667d + 31.6666667e = 98.60185185 …………………..(17)

We can simplify equation (17) by dividing both sides by 1.6666667,

14.2d + 19e = 59.1611111 ……………………..(18)

Now, we can use equations (4) and (18) to solve for e.

Multiplying equation (4) by 19 and subtracting it from equation (18), we get,

19 × (0.5d + 2e = -7.5) - (14.2d + 19e = 59.1611111)

⇒ 9.5d - 41e = -186.3111111 ……………………..(19)

We can simplify equation (19) by dividing both sides by 1.9,

5d - 21.57894737e = -98.05789474 ……………………..(20)

Now, we can use equations (4) and (20) to solve for e.

Multiplying equation (4) by 21.57894737 and adding it to equation (20), we get,

21.57894737 × (0.5d + 2e = -7.5) + (5d - 21.57894737e = -98.05789474)

⇒ 43.15789474d + 0e = -252.5263158

⇒ 43.15789474d = -252.5263158

⇒ d = -5.85416667

Substituting the value of d in equation (4), we get,

0.5d + 2e = -7.5

⇒ 0.5(-5.85416667) + 2e = -7.5

⇒ e = -6.5

Now, we have the values of d and e, and we can substitute them in any equation to get the value of the remaining variable.

We can use equation (2),

-20d + 394e = 223

⇒ -20(-5.85416667) + 394(-6.5) = 223

⇒ 117.0833334 + (-2561) = 223

⇒ -2443.916667 = 223

This is not true, which means there is no solution to this system of equations. Hence, the system is inconsistent.

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The investment will be worth approximately $1,546.45 at the end of 7 years. To calculate the value of the investment after 7 years, we can use the formula for compound interest:

Value = Principal * (1 + interest rate)^time

Given Data:

Principal (P) = $900

Annual Interest Rate (r) = 8% or 0.08

Number of years (t) = 7

Substituting the values into the formula, we have:

Value = $900 * (1 + 0.08)^7

Calculating the exponent:

(1 + 0.08)^7 = 1.08^7 ≈ 1.718279

Now we can calculate the value of the investment:

Value = $900 * 1.718279 ≈ $1,546.45

Therefore, the investment will be worth approximately $1,546.45 at the end of 7 years.

In this calculation, we used the compound interest formula, which takes into account the initial principal, the annual interest rate, and the number of compounding periods (in this case, 7 years). The interest is compounded annually, meaning that at the end of each year, the interest earned is added to the principal for the next year's calculation.

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Answer:

B. 2^-6

C. 1/4³

D. (1/4) (1/4) (1/4)

Step-by-step explanation:

4^-3 is the same as 1/4³ so it is equivalent

46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64

2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent

B, C, and D are your answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

5 weeks 150 dollars

Step-by-step explanation:

To find the Taylor polynomial \(\(t_3(x)\)\) for the function \(\(f(x) = 11 \tan^{-1}(x)\)\) centered at \(\(a = 1\)\) , we can use the Taylor series expansion of the function. The Taylor series expansion for \(\(\tan^{-1}(x)\)\) centered at \(\(a = 1\)\) is:

\(\[\tan^{-1}(x) = \tan^{-1}(a) + \frac{1}{1+a^2}(x-a) - \frac{1}{2(1+a^2)}(x-a)^2 + \frac{1}{3(1+a^2)}(x-a)^3 + \ldots\]\)

Now we substitute \(\(a = 1\)\) and \(\(f(x) = 11 \tan^{-1}(x)\)\) into the series:

\(\(t_3(x) = 11 \tan^{-1}(1) + \frac{1}{2}(x-1) - \frac{1}{4}(x-1)^2 + \frac{1}{6}(x-1)^3\)\)

Simplifying:

\(\(t_3(x) = 11 \cdot \frac{\pi}{4} + \frac{1}{2}(x-1) - \frac{1}{4}(x-1)^2 + \frac{1}{6}(x-1)^3\)\)

Thus, the Taylor polynomial \(\(t_3(x)\) for \(f(x) = 11 \tan^{-1}(x)\)\) centered at

\(\(a = 1\) is \(t_3(x) = 11 \cdot \frac{\pi}{4} + \frac{1}{2}(x-1) - \frac{1}{4}(x-1)^2 + \frac{1}{6}(x-1)^3\).\)

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8x-5[8]=16

8x=16+40

8x=56

x=7

The division is one of the four fundamental arithmetic operations. The rent of the flat for each month will be Rs. 30,000.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that the rent of the flat for one year is Rs. 3,60,000. Since a year has 12 months. Therefore, the rent for each month will be,

\(\rm \text{Rent for one month} = \dfrac{Rs.\ 3,60,000}{12} = Rs.\ 30,000\)

Hence, the rent of the flat for each month will be Rs. 30,000.

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The number 3076 written in standard form as 3000+0+70+6.

The standard form means the process of writing very large expanded form of a number into small form or small number.

The given number is 3076

Now, in standard form

3×1000+0×100+7×10+6×1

= 3000+0+70+6

Therefore, the standard form is 3000+0+70+6.

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If event A has a high positive correlation with event B, it means that there is a strong relationship between the two events and they tend to move in the same direction. The statement "All of the above are true" is incorrect.

If event A has a high positive correlation with event B, it implies that there is a strong positive relationship between the two events. This means that as event A increases, event B is more likely to increase as well. Therefore, the statement "If event A increases, event B will also increase" is true.

Additionally, a correlation coefficient of approximately 0.8 or higher indicates a strong positive correlation between the two events. Hence, the statement "The correlation coefficient is approximately 0.8 or higher" is also true.

However, it is not accurate to say that event A causes event B to increase solely based on a high positive correlation. Correlation does not imply causation. While there may be a strong relationship between event A and event B, it does not necessarily mean that one event is causing the other to occur. Other factors or variables could be influencing both events simultaneously. Therefore, the statement "Event A causes event B to increase" is not necessarily true.

In summary, all of the statements provided are not true. While event A and event B have a high positive correlation and tend to increase together, it does not imply a causal relationship between the events.

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The house is 0 miles east of the center of the town.

To determine how far east of the center of the town the house is located, we need more information about the shape of the cell tower's coverage. However, we can make an estimation based on the given information.

Since the house lies on the boundary of the cell tower's coverage, we can assume that the cell tower's coverage area is circular.

Let's consider the following scenario: if the center of the town is the origin of a coordinate system, and the cell tower is located at (0,0), with the house 6 miles north of the town's center, we can represent the house's location as (0,6).

Assuming the cell tower's coverage area is circular, the house must lie on the circumference of this circle. In this case, the radius of the circle is 6 miles (since the house is located 6 miles north of the town's center).

Now, if we want to find the eastward distance of the house from the center of the town, we need to find the x-coordinate of the house. Since the house is directly east of the cell tower, the x-coordinate will be 0.

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Hey there!

1/2(8 - 6y) + 1/5(10y - 25)

DISTRIBUTE 1/2 & 1/5 WITHIN the PARENTHESES

= 1/2(8) + 1/2(-6y) + 1/5(10y) + 1/5(-25)

= 4 - 3y + 2y - 5

COMBINE the LIKE TERMS

= (-3y + 2y) + (4 - 5)

= -3y + 2y + 4 - 5

= -1y - 1

≈ -y - 1

Therefore, your answer is: -y - 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

$117.60

Step-by-step explanation:

Do this:

$864              1              $864

_____    x   ____   =    ______

   1                  5                 5

Then divide $864 by 5

Then take $172.80 - $55.20

That will give you your answer.

Answer:

$636

Step-by-step explanation:

864/5=172.80 so he paid 172.80 dollars for the phone bill. He then has 691.20 dollars left. he then gives his mother $55.20 and is left with $636.

Answer: A number which is divided by 5, with the result as 50 less than if the number had been divided by 6 would be; -1500

How to solve Algebra Word Problems?

Let the number be x. We are asked that it is divided by 5, and the result is 50 less than if the number had been divided by 6;

(x/6) - (x/5) = 50

Multiply by 30 to get;

5x - 6x = 1500

-x = 1500

x = -1500

Let the older turtle be represented x and the younger one be y.

Todays age,

Older turtle = 11y years

Younger turtle = y years

Also the equation form as;

11y + 24 = 7(y + 24)

11y + 24 = 7y + 168

11y - 7y = 168 - 24

4y = 144

y = 144/4

y = 36

Thus;

Age of older turtle today = 396 years

Age of younger turtle today = 36 years

Therefore,

3(36 + t) = 396 + t

108 + 3t = 396 + t

2t = 292

t = 292/2

t = 146 years

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Step-by-step explanation:

The measures of angles 4 and 5 are:

∠5 = 104°

∠4 =76°

On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.

Then we can write the sum:

∠1 + ∠2 = 180°

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 180 - 15

x = 165/5 = 33

the measure of angle 5 is the same one of angle 1 then:

∠5 = (3*33 + 5)° = 104°

And angle 4 is supplementary of angle 1, then:

∠4 + 104° = 180°

∠4 = 180 - 104= 76°

These are the measures

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

HJ = 33 ft.

The volume of the solid is 4/5π.

The volume of a solid generated by revolving a region around a line is given by V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region, respectively, and y is a function of x.

In this case, the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Therefore, the volume of the solid generated when the region is revolved about the y-axis is given by

V = ∫0 1 π(y)2dy

= ∫0 1 πx6dx

= π/7

= 4/5π

The volume of the solid is calculated using the formula V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region and y is a function of x. In this case, the lower limit is a=0 and the upper limit is b=1, since the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Integrating from a=0 to b=1 gives the volume of the solid as V = ∫0 1 πx6dx = π/7 = 4/5π.

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Answer:

C

Step-by-step explanation:

Looking at the graph, we can see that the graph crosses the y-axis at y=2.

Hence, our y-intercept should be 2.

Therefore, we can eliminate A.

We also notice that the graph is downwards sloping.

Therefore, our slope is negative.

So, we can eliminate B.

Therefore, our answer must be C.

Answer:

C

Step-by-step explanation:

I have the same question and my answer was right