The volume of this cone is 540π. Work out the height,h, of the cone, radius=9cm

Answer:

Step-by-step explanation:

You didn't list anything to choose from.

2/5÷9/4 When you have a division and fraction after it, change the sign to multiplication and flip the fraction.

2/5 * 4/9

8/45

Answer:

n = m - a

Step-by-step explanation:

Given:

a = m − n

Where,

Actual cost of the item = a

Original price of the item = m

Amount of Coupon = n

Solve the formula for the amount of the coupon

Making n the subject

a = m − n

Subtract m from both sides

a - m = m - n - m

a - m = - n

Divide both sides by -1

(a - m) / -1 = -n / -1

- a + m = n

Can also be written as

n = m - a

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

1,3,4 that is the answer

Answer:

Step-by-step explanation:

x³ + 6x² + 5x - 12

A factor of the polynomial is the value of x when substituted into the expression will make it zero

Choosing x + 4

x = - 4

We have

(- 4)³ + 6(- 4)² + 5(- 4) - 12

-64 + 96 - 20 - 12 = 0

Since the result is zero

x + 4 is a factor of the polynomial

Hope this helps you

The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Answer:

x = 17

Step-by-step explanation:

x ^2 = 8^2+ 15^2

√x^2 =√64+225

x=17

Answer:

17cm.

Step-by-step explaination:

The given triangle is a right angled triangle.

Using Pythagorean Theorem,

a² + b² = c²

Putting the given values in the equation;

(15)² + (8)² = c²

225 + 64 = c²

289 = c²

17² = c² (square root of 289 = 17)

17 = c

c = 17

Therefore, the missing side of the triangle is equal to 17 cm.

a. the BCD representation for 1036 would be 0001 0000 0011 0110. b.  the complement of (18)10 is (13)10 in decimal, and the two's complement of (18)10 is (14)10 in decimal.

a) To represent the decimal numbers 789 and 1036 in Binary-Coded Decimal (BCD), we need to convert each decimal digit into its equivalent four-bit binary representation.

For 789:

The BCD representation for each decimal digit is as follows:

- 7: 0111

- 8: 1000

- 9: 1001

So, the BCD representation for 789 would be 0111 1000 1001.

For 1036:

The BCD representation for each decimal digit is as follows:

- 1: 0001

- 0: 0000

- 3: 0011

- 6: 0110

So, the BCD representation for 1036 would be 0001 0000 0011 0110.

b) To find the decimal number represented in BCD as 100101110001, we need to group the bits into four-bit segments and convert each segment into its decimal equivalent.

The BCD representation can be split as follows:

1001 0111 0001

Converting each four-bit segment into decimal:

- 1001: 9

- 0111: 7

- 0001: 1

Combining the decimal digits together, the decimal number represented by 100101110001 in BCD is 971.

Question 5:

To find the complement and two's complement of (18)10, we need to represent the decimal number 18 in binary and then apply the respective operations.

Converting 18 to binary:

18 in binary: 10010

Complement:

To find the complement, we invert each bit of the binary representation.

Complement of 10010: 01101

Two's complement:

To find the two's complement, we first find the complement and then add 1 to it.

Two's complement of 10010: 01101 + 1 = 01110

Therefore, the complement of (18)10 is (13)10 in decimal, and the two's complement of (18)10 is (14)10 in decimal.

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According to the given data the domain of g[f(x)] is all real numbers.

√2 and -√2.

The correct option is 1.

The collection of potential inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function. The collection of things that the machine will accept as inputs is known as the domain in the function machine paradigm.

We will respond to this question using two functions:

f(x) = x² and g(x)

= x²/ x-2

Because the domain of f(x) is the set among all real numbers,

Except for 2, the domain of g(x) is all real integers.

Now

g[f(x)]= g(x²)

=  x²/ x-2

Except for real numbers, the domain of g[f(x)] is all real numbers.

√2 and -√2.

The following is the best definition of the domain of g[f(x)]:

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I understand that the question you are looking for is:

Which description best explains the domain of (g(f(x))?

Answer:

The diameter is 36.

Step-by-step explanation:

Answer:

I think it's 45/196.

Step-by-step explanation:

Not sure though, no explanation.

The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Based on the given conditions, formulate 9 ×9÷((9 + 5 + 4) ×(9 +5 +4))

Calculate the product or quotient = \(\frac{81}{(9 +5 + 4) * (9 + 5 + 4)}\)

Calculate the sum or difference=  \(\frac{81}{(14 + 4) * (9 +5+4)}\)

Calculate the sum or difference = \(\frac{81}{18 * (9+5+4)}\)

                                                     = \(\frac{81}{18 * (14 + 4)}\)

                                                     =\(\frac{81}{18 * 18}\)

Calculate the product or quotient = \(\frac{81}{324}\)

Cross out the common factor = \(\frac{1}{4}\)

              get the result 25% or 0.25

Therefore, The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

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Answer:

Step-by-step explanation:

This is a duplicate of one I have done for you

BF = 3*HF

BF = 3*6

BF = 18

Answer:

2x -y+13=0

Step-by-step explanation:

the given equation of the line is ,

\(\implies \rm y = 2x + 6 \)

as we know that the slope of parallel lines are same so the line parallel to the given line will have the same slope as the given line . Comparing it to slope intercept form of the line we have ,

\(\implies \rm m = 2 \ (slope)\)

Now we may use the point slope form of the line to find out the equation of the line as ,

\(\implies \rm y - y_1 = m(x-x_1)\\\)

\(\implies \rm y -(-5) =2\{ x -(-9)\}\\\)

\(\implies \rm y +5 = 2(x+9)\\ \)

\(\implies \rm y +5 = 2x +18\\\)

\(\implies \rm 2x -y+18-5=0\\\)

\(\implies \rm 2x - y +13=0\)

And we are done!

-Rishabh

a) We can say with 95% confidence that the true mean kilowatt-hours used by all six-room homes falls between 6.005 and 9.195 thousand kilowatt-hours.

b) We can say with 95% confidence that a particular six-room home will use between 3.283 and 11.917 thousand kilowatt-hours.

a. The first question asks us to determine a 95% confidence interval for the mean kilowatt-hours used by all six-room homes. To do this, we need to calculate the sample mean (x) and the sample standard deviation (s) for the kilowatt-hours used by the six-room homes in our sample. We can then use the t-distribution and the formula:

x ± tα/2 (s/√n)

where tα/2 is the t-value for our desired confidence level (in this case, 95% with 9 degrees of freedom), s is the sample standard deviation, and n is the sample size.

Using the data given, we can calculate x = 7.6 and s = 1.551. We can then find the t-value using a t-table or a calculator, which is approximately 2.306. Plugging these values into the formula gives us:

7.6 ± 2.306 x (1.551/√10)

which simplifies to:

(6.005, 9.195)

b. The second question asks us to determine a 95% prediction interval for a particular six-room home. A prediction interval is similar to a confidence interval, but it takes into account both the variability of the sample and the variability of a new observation. To calculate the prediction interval, we can use the formula:

x ± tα/2 (s√1 + 1/n + (x₀ - x)²/((n-1)s²))

where x is the predicted value of kilowatt-hours for a new observation, x₀ is the number of rooms for that observation, and all other variables are the same as in the previous formula.

Using the data given, we can calculate x and s for all six-room homes as before. We can also assume that the predicted value for a new observation with six rooms is simply the sample mean for six-room homes (i.e., x = 7.6). We can then find the t-value using a t-table or a calculator, which is approximately 2.306. Plugging these values into the formula and setting n=10 (the sample size) gives us:

7.6 ± 2.306 x (1.551√1 + 1/10 + (6-7.6)²/((10-1)(1.551)²))

which simplifies to:

(3.283, 11.917)

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Answer:

Quadrant 3

Step-by-step explanation:

Since both x and y are negative, you go to the quadrant which has both negatives, meaning Q3

Paul and Fred working together can paint the fence in 6/5 hours, which is equivalent to 1 hour and 12 minutes.

To determine how many hours Paul and Fred can paint the fence together, we can use the concept of their individual work rates.

Let's denote the work rate of Paul as P (measured in fence per hour) and the work rate of Fred as F (also measured in fence per hour).

From the given information, we know that Paul can paint the fence in 2 hours, so his work rate is:

P = 1 fence / 2 hours = 1/2 fence per hour

Similarly, Fred can paint the same fence in 3 hours, so his work rate is:

F = 1 fence / 3 hours = 1/3 fence per hour

To find the combined work rate of Paul and Fred when they work together, we can add their individual work rates:

P + F = 1/2 + 1/3 = 3/6 + 2/6 = 5/6 fence per hour

Now, to determine the number of hours it takes for Paul and Fred to paint the fence together, we can use the reciprocal of their combined work rate:

1 / (P + F) = 1 / (5/6) = 6/5

So, Paul and Fred working together can paint the fence in 6/5 hours, which is equivalent to 1 hour and 12 minutes.

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Answer:

1. (2,5),(1,3.5),(4,8),(6,11)

2. This is not a proportional relationship (explanation below)

Step-by-step explanation:

For the plotting, if you take some random x values and multiply by 1.5 and add 2 to them.  

This can't be a proportional relationship. A proportional relationship means the x and y values' ratios have to stay the same. However, because 2 is added to 1.5x, the equation is not proportional.

The four x and y values that make the equation true are (0,2), (-1.333,0), (1,3.5), and (1,3.5).

Therefore,

We select several x and y values,

1) Take x=0,

y = 1.5(0) + 2 =2.

The point is (0,2).

2) Take y=0,

0 = 1.5x + 2

x = -2/1.5 = -1.333

The point is (-1.333,0).

3) Take x=1,

y = 1.5(1) + 2 = 3.5

The point is (1,3.5).

4) Take y=1,

1 = 1.5x +2

1.5x = -1

x = -1/1.5 = -0.666.

The point is (-0.666,1).

The four sets of x and y numbers that make the equation true are (0,2), (-1.333,0), (1,3.5), and (0,2).

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The balance at the end of five years is $552.04.

The equation that that represents the balance in the account is $500 x (1.02)^5

The amount of money in the bank account would grow at an exponential rate.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

$500 x (1 + 2/100)^5

$500 x (1.02)^5 = $552.04

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Answer: Yes, $9.

Step-by-step explanation:

From what I understand, since the table isn't showing: \

Dinner bill $25:$4.50 tip, $30:$5.40, etc..

To find if Bill is proportional, we need to find the rate of each tip to Bill  and see if they match.

$25/$4.50 =5.555555555...

$30/$5.40 =5.555555555...

$35/$6.30 =5.555555555...

$40/$7.20 =5.555555555...

The rate is the same for each one, so yes, the amount of the donation proportional to the dinner bill.

To find the donation for a bill of $50, divide by the rate we found above.

\(Tip=$50/5.555555555=9.000...\)

Answer:

midpoint formula is the answer

Answer:

8x+lly=205x-11y=-59u200b

Step-by-step explanation:

i calculated it

Answer:

It will take him 4 years to catch up to Javier

Step-by-step explanation:

58 + 2x = 66

2x = 8

x = 4

4 years

Daisy is not correct. The shaded part is 3/50 that of the whole circle.

In order to determine if Daisy is correct, the area of the circle and the area of the shaded part has to be determined.

Area of the circle = = πr²

Where :

π = pi = 22/7

r = radius = 4 + 3 + 3 = 10

10²π = 100π

Area of the shaded part = 3²π = 9π

Ratio of the areas = 9π / 100π

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Answer:

C

Step-by-step explanation:

Consider trapezoid ABCD with

A is the midpoint of ED

C is the midpoint of BF

=> AC is the median of trapezoid EBFD

=>(EB+DF) / 2 = AC

=>(13+x) / 2 = 19

=> 13+x = 38

=> x= 25

The value of x is 5.

According to the Triangle Proportionality Theorem, if a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides proportionally. In mathematical terms, we can express this as:

(a/b) = c

Where the values of a = 13, b = 19

Now, we can substitute the given values into the proportionality equation:

(13/19) = c

Next, we can cross-multiply the equation:

c = 0.68

Then the value of x is calculated by adding 4.32 on it then we get the value of x as

=>  x = 0.68 + 4.32

=> x = 5

Hence the correct option is (b).

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The required final answer is option a) Incentre

The point of concurrency of the angle bisectors of a triangle is known as the "Incentre".

It is the center of the circle inscribed within the triangle, which is equidistant from all three sides of the triangle.

The incentre is the point where the angle bisectors of a triangle intersect, forming the incircle, which is the largest circle that can be inscribed inside the triangle.

The incentre is always within the triangle and is equidistant from all three sides of the triangle, making

it a useful tool in construction and design applications. In summary, the incentre is the center of the incircle of a triangle, and it is the point where the angle bisectors of the triangle intersect.

Thus, required answer is "Incentre".

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Answer:

The two clock will chime together in 75 minutes

Step-by-step explanation:

- The two clock will chime together in the multiples of 15 and 25

- Lets find the first common multiple of 15 and 25

∵ 15 = 5 × 3

∴ The prime factors of 15 are 3 and 5

∵ 25 = 5 × 5

∴ The prime factor of 25 is 5

∴ The lowest common multiple of 15 and 25 = 5 × 3 × 5 = 75

∴ The two clocks will chime together every 75 minutes

Answer:

50

Step-by-step explanation:

A person travels to work at an average speed of 40 mph, and returns home at 60 mph. the average speed for the entire trip is 48 mph.

To find the average speed for the entire trip, we need to use the formula:

average speed = total distance / total time

Let's assume that the distance to work is d.

The time it takes to travel to work is:

time = distance / speed = d / 40

The time it takes to return home is:

time = distance / speed = d / 60

The total distance for the round trip is:

total distance = d + d = 2d

The total time for the round trip is:

total time = d/40 + d/60

We can simplify the total time by finding a common denominator:

total time = (3d/120) + (2d/120) = 5d/120 = d/24

Now we can plug in the values for total distance and total time:

average speed = (2d) / (d/24) = 48 mph

Therefore, the average speed for the entire trip is 48 mph.

To find the average speed for the entire trip, we can use the harmonic mean formula for two rates: average speed = (2 * speed1 * speed2) / (speed1 + speed2). In this case, speed1 is 40 mph (to work) and speed2 is 60 mph (returning home).

Using the formula: average speed = (2 * 40 * 60) / (40 + 60) = (4800) / (100) = 48 mph.

So, the average speed for the entire trip is 48 mph.

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