What are the answers I need help ?

The average value of the function f(x) = 6x over the interval [0, 9] is 27.

To find the average value of a function over a given interval, you need to take the definite integral of the function over that interval, and divide by the length of the interval. In this case, the function is f(x) = 6x, and the interval is [0, 9].

So first, we need to find the definite integral of 6x over [0, 9]:

∫[0,9] 6x dx = 3x^2 |[0,9] = 243

Next, we need to find the length of the interval, which is simply 9 - 0 = 9.

Finally, we divide the definite integral by the length of the interval:

Average value of f(x) = (1/9) * 243 = 27

So the average value of the function f(x) = 6x over the interval [0, 9] is 27.

To know more about functions refer here :

https://brainly.com/question/13956546#

#SPJ11

The result of the product of 26 and 47 is 1269. And, from the standpoint of time efficiency, it does not matter whether we multiply n by m or m by n by the Russian peasant algorithm.

a. The Russian peasant algorithm is a method for multiplying two numbers using only halving, doubling, and addition. Here are the steps to compute 26 * 47 using the Russian peasant algorithm:

Step 1. Start with the two numbers you want to multiply: 26 and 47
Step 2. Halve the first number and double the second number repeatedly until the first number is 1:
26 | 47
13 | 94
6  | 188
3  | 376
1  | 752
Step 3. Add up the numbers in the second column that correspond to odd numbers in the first column: 47 + 94 + 376 + 752 = 1269
Step 4. The result, 1269, is the product of 26 and 47.

b. From the standpoint of time efficiency, it does not matter whether we multiply n by m or m by n by the Russian peasant algorithm. The algorithm works by halving one number and doubling the other, so the order of the numbers does not affect the number of steps or the final result.

For more such questions on Russian peasant algorithm.

https://brainly.com/question/80001#

#SPJ11

A certain bacteria strain needs 4 hours to double its population. If in the beginning there are 45 bacteria, after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

The problem can be solved using the exponential growth model.

In the given problem, the formula for the growth model is given, that is:

f(x) = 45 (64)^(x)

Where:

f(x) = total number of bacteria present after x days

To find f(x) for 1 day, 2 days, and 3 says, substitute x = 1, x = 2, and x = 3 into the formula.

f(1) = 45 (64)¹ = 2,880

f(2) = 45 (64)² = 184,320

f(3) = 45 (64)³ = 11,796,480

Hence,

after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

Learn more about exponential growth here:

https://brainly.com/question/26052830

#SPJ4

Answer:

31 n

Step-by-step explanation:

I believe this is the answer because the number sequence that you have is 8, 7, 11, 15, and 19 correct?

okay so since you have those numbers take your first dumber and add it by 4 and you keep doing that till you get your 8th term and I put your eighth term above to make it easier for you .

The empirical formula of compound X is MnO₂.

The empirical formula of compound Y is Mn₃O₄.

We have,

To determine the empirical formulas of compounds X and Y, we need to find the ratio of the elements present in each compound.

For compound X:

The percentage of manganese (Mn) is 63.3%, which corresponds to 63.3 grams out of 100 grams.

The percentage of oxygen (O) is 36.7%, which corresponds to 36.7 grams out of 100 grams.

To find the empirical formula of X, we need to determine the ratio of Mn to O. To simplify the ratio, we can divide both values by their respective atomic masses.

The atomic mass of Mn is approximately 54.94 g/mol, and the atomic mass of O is approximately 16.00 g/mol.

For Mn: (63.3 g) / (54.94 g/mol) ≈ 1.15 mol

For O: (36.7 g) / (16.00 g/mol) ≈ 2.29 mol

The ratio of Mn to O is approximately 1.15:2.29, which simplifies to approximately 1:2.

Therefore, the empirical formula of compound X is MnO₂.

Now, let's calculate the empirical formula of compound Y using a similar approach:

The percentage of Mn in Y is 72.0%, which corresponds to 72.0 grams out of 100 grams.

The percentage of O in Y is 28.0%, which corresponds to 28.0 grams out of 100 grams.

Using the atomic masses mentioned earlier:

For Mn: (72.0 g) / (54.94 g/mol) ≈ 1.31 mol

For O: (28.0 g) / (16.00 g/mol) ≈ 1.75 mol

The ratio of Mn to O in compound Y is approximately 1.31:1.75, which simplifies to approximately 3:4.

Therefore, the empirical formula of compound Y is Mn₃O₄.

Thus,

The empirical formula of compound X is MnO₂.

The empirical formula of compound Y is Mn₃O₄.

Learn more about empirical formulas of compounds here:

https://brainly.com/question/20708102

#SPJ4

Answer:

(a) (i) x + y ≤ 24

(ii) y ≥ 4 + x

(b) draw a graph with the coordinate given below:

* note that you must draw 2 lines in your graph as there are 2 linear inequalities

(i) (0,24) and (24,0)

(ii) (0,4) and (-4,0)

*when the sign is ≤ , shade below the drawen line on the graph.

*when the sign is ≥, shade above the drawen line on the graph.

(c) x=8

8 + y ≤ 24

y ≤ 16 ( maximum )

y ≥ 4+8

y ≥ 12 (minimum)

Answer:

33 cars

Step-by-step explanation:

The computation of the number of black cars in total is shown below:

Given that

There is a car dealership of 240 cars

And,17.5% of them are wrecked

So, the wrecked cars is

= 17.5% of 240 cars

= 42

Now the number of other cars would be

= 240 - 42

= 198

And it is mentioned that there are other six colors lot

So the number of black cars would be

= 198 ÷ 6

= 33 cars

Answer:

3/1.....4/1

Step-by-step explanation:

The probability to get a 3 or 4 in the third toss and 6 in the fourth toss is 1/18.

The sample space for a six-sided die is

{1, 2, 3, 4, 5, 6}

Hence the total number of possibilities = 6

The rolling of a die is IID that is Independently and Identically distributed.

Hence,

the result of one toss will not affect the result of the successive tosses.

Probability

= n(E)/n

= no of favorable outcomes for any event /total no. of outcomes

Here,

n = 6

Let A be the event of getting a 3 or 4 in the third toss

Let B be the event of getting 6 on the fourth toss

E(A) = {3,4}

n(A) = 2

Hence,

P(A) = 2/6

= 1/3

B = {6}

n(B) = 1

P(B) = 1/6

Since these are IID,

P(A and B) = P(A) X (B) [Property of independent events]

Hence P(A∩B) = 1/3 X 1/6

= 1/18

To learn more about probability visit

https://brainly.com/question/17142351

#SPJ4

Answer:

2 nickels and 21 dimes

Step-by-step explanation:

0.05N + 0.1D = 2.2

N + D = 23

Let's use the substitution method. Solve the second equation for N.

N = 23 - D

Now where you see N in the first equation substitute N with 23 - D.

0.05(23 - D) + 0.1D = 2.2

1.15 - 0.05D + 0.1D = 2.2

0.05D = 1.05

D = 1.05/0.05

D = 21

Now substitute 21 for D in the second original equation and solve for N.

N + 21 = 23

N = 2

Answer: 2 nickels and 21 dimes

Answer:

Step-by-step explanation:

The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.

The radius of the hole to the nearest hundredth of a 0.27 foot

Scientists are drilling a hole in the ocean floor to learn more about the​ Earth's history.

Shape of hole is cylinder.

Volume of that cylindrical hole = 3800 cubic feet

Height = 3.1 miles

1 mile = 5280 feet

3.1 miles= 3.1(5280)

             = 16368 feet

volume of cylinder = πr²h

r²=V/πh

r²=3800/(16368)π=0.073936

r=\(\sqrt{0.073936}\)=0.27 foot

To learn more about radius visit , https://brainly.com/question/20692312

#SPJ9

The appropriate domain of the function, using h to represent time, is [0, ∞) or h ≥ 0, since Jevonne's distance from home can never be negative.

Since Jevonne's distance from home can never be negative, the domain of the function is restricted to non-negative values of h. Therefore, an appropriate domain of the function, using h to represent time, is:

h ≥ 0

Inequality notation can be used to express this domain as:

[0, ∞)

This means that h can take any non-negative value, including zero (which corresponds to the starting point of Jevonne's journey), and can increase without bound as Jevonne continues to drive further away from home.

Learn more about Linear Inequation :

https://brainly.com/question/17040954

#SPJ4

Answer: A. 7

Step-by-step explanation:

3y-2=19

3y-2+2=19+2 (add 2 to both sides)

3y=21

3y/3=21/3 (divide by 3 on each side)

y=7

Answer$20

Step-by-step explanation:

The price of 1 pound is $2 so 2x10 would be 20.

\(20$\)

Alica buys 10 pounds of hamburger and she pay 20$ for it.

Answer:

Step-by-step explanation:

1/12 = 0.0833

-1 = 0.000

Answer:

y= 6/5x +0

Step-by-step explanation:

That just be how it is

Answer: y= 3/2 x

Step-by-step explanation:

use y = mx + b

Angle B = ADC arc / 2

32 = ADC arc / 2

ADC arc = 2 × 32

ADC arc = 64

_________________________________

ADC arc + ABC arc = 360

64 + ABC arc = 360

ABC arc = 360 - 60 - 4

ABC arc = 300 - 4

ABC arc = 296

_________________________________

Angle D = ABC arc / 2

x = 296 / 2

x = 148

_________________________________

Angle A = x - 40

Angle A = 148 - 40

Angle A = 108 degrees

As n approaches infinity, this ratio approaches 1. Therefore, the series diverges by the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of the (n+1)th term to the nth term is less than 1, then the series converges. Using this test, we can see that the absolute value of the ratio of the (n+1)th term to the nth term is:

|((-9)ⁿ⁺¹ * (2(n+1) + 1)!)/((-9)ⁿ * (2n + 1)!)|

Simplifying this expression, we get:

|(-9) * (2n + 3) * (2n + 2)/(2n + 1)(2n + 2)(-9)|

Which simplifies further to:

|2n + 3|/(2n + 1)

In summary, we used the ratio test to determine the convergence/divergence of the given series. The test involves taking the absolute value of the ratio of the (n+1)th term to the nth term and finding the limit as n approaches infinity.

If the limit is less than 1, the series converges; if the limit is greater than 1, the series diverges; and if the limit is equal to 1, the test is inconclusive and another test must be used. In this case, the limit was equal to 1, so we concluded that the series diverges.

To know more about ratio test click on below link:

https://brainly.com/question/15586862#

#SPJ11

The gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.

The gross earnings are determined by multiplying the pay rate by the number of hours worked.

Federal taxes, state taxes, and social security deductions are calculated by applying the respective tax rates to the gross earnings.

Total deductions are the sum of federal taxes, state taxes, and social security deductions.

Net pay is obtained by subtracting the total deductions from the gross earnings.

To calculate the gross earnings, we multiply the pay rate of $7.50 by the number of hours worked, which is 30.

Therefore, the gross earnings are $7.50 * 30 = $225.

Next, we can calculate the federal taxes by applying the tax rate of 18% to the gross earnings.

The federal taxes amount to 18% * $225 = $40.50.

Similarly, the state taxes can be calculated by applying the tax rate of 4% to the gross earnings.

The state taxes amount to 4% * $225 = $9.

To determine the social security deduction, we apply the tax rate of 7.05% to the gross earnings.

The social security deduction amounts to 7.05% * $225 = $15.86.

The total deductions are the sum of the federal taxes, state taxes, and social security deduction.

Thus, the total deductions are $40.50 + $9 + $15.86 = $65.36.

Finally, to calculate the net pay, we subtract the total deductions from the gross earnings.

Therefore, the net pay is $225 - $65.36 = $159.64.

In conclusion, the gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.

Learn more about gross earnings here:

https://brainly.com/question/9778114

#SPJ11

Answer:

The algebraic equation for the given sentence is

3x - 8 = 25

Answer:

I believe its C , i took this class

Step-by-step explanation:

Answer:

She worked 12 hours for the week

Step-by-step explanation:

Given that :

Hours worked :

Mondays = 40 hours

Tuesdays = 8 hours

If 1/4 of regular hours was worked in a certain week, the number of hours worked that week can be calculated thus ;

1/4 (Monday hours + Tuesday hours)

1/4(40 + 8)

(1/4 * 40) + (1/4 * 8)

10 + 2

= 12 hours

The area is changing at a rate of 28,160 m²/year at that point in time.

The area of the rectangular region is given by:

A = lw

Where l is the length of the rectangular region and w is the width of the rectangular region.

The width of the rectangular region is given to be 220 m. Therefore, we have the width w = 220 m. The length l of the rectangular region can be found knowing that it is twice as long as it is wide. Therefore, the length of the rectangular region is given by:

l = 2w

l = 2 x 220

l = 440

Therefore, the length l of the rectangular region is 440 m.

At the given point in time, the width of the rectangular region is growing at a rate of 32 m per year. Therefore, we have the rate of change of the width dw/dt to be 32 m per year. We need to find how fast the area of the rectangular region is changing at that point in time. Therefore, we need to find the rate of change of the area of the rectangular region dA/dt.

A = lw

dA/dt = w dl/dt + l dw/dt

dA/dt = 220 d/dt(2w) + 440 dw/dt

dA/dt = 220 x 2 dw/dt + 440 dw/dt

dA/dt = 880 dw/dt

Substitute the value of dw/dt to get:

dA/dt = 880 x 32

dA/dt = 28,160 m²/year

Therefore, the area of the rectangular region has a rate of change of 28,160 m² per year at that point in time.

Learn more about rate of change here: https://brainly.com/question/29504549

#SPJ11

The exact values of all angles in the interval [0, 360°) that satisfy the given equations are:

data = 45°, 135°, 315°.

To solve the given trigonometric equations, we will consider each equation separately.

tan²(data) - 1 = 0:

First, let's rewrite tan²(data) as (sin(data)/cos(data))²:

(sin(data)/cos(data))² - 1 = 0

Now, we can factor the equation:

(sin²(data) - cos²(data)) / cos²(data) = 0

Using the Pythagorean identity sin²(data) + cos²(data) = 1, we can substitute sin²(data) with 1 - cos²(data):

((1 - cos²(data)) - cos²(data)) / cos²(data) = 0

Simplifying further:

1 - 2cos²(data) = 0

Rearranging the equation:

2cos²(data) - 1 = 0

Now, we solve for cos(data):

cos²(data) = 1/2

cos(data) = ± √(1/2)

cos(data) = ± 1/√2

cos(data) = ± 1/√2 * √2/√2

cos(data) = ± √2/2

From the unit circle, we know that cos(data) = √2/2 corresponds to angles 45° and 315° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 315°.

cos(data)sin(data) = 1:

Since cos(data) ≠ 0 (otherwise the equation wouldn't hold), we can divide both sides by cos(data):

sin(data) = 1/cos(data)

sin(data) = 1/√2

From the unit circle, we know that sin(data) = 1/√2 corresponds to angles 45° and 135° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 135°.

for more such questions on trigonometric equations

https://brainly.com/question/30257777

#SPJ8

The number of candy bars that Beth has sold, given the total they have sold and the amount sold by Carly, is 125 candy bars

To find the number of candy bars that Beth has sold, you can assume that the amount of candy sold by Carly is denoted as x.

This means that the amount of candy bars sold by Beth is:

= 2x - 1

The total sold by both Beth and Carly is therefore:

= 2x - 1 + x

The number of candy bars sold by Carly is:

188 = 2x - 1 + x

188 = 3x - 1

3x = 188 + 1

x = 189 / 3

x = 63

This means that the candy bars sold by Beth is:

= 2 ( 63 ) - 1

= 126 - 1

= 125 candy bars

Find out more on candy bars at https://brainly.com/question/13201944

#SPJ1

Answer:

1 5/6

Step-by-step explanation:

first convert to /12 and put the wholes in the fraction:

6 3/4 = 81/12

4 11/12 = 59/12

Then perform the subtraction

81/12 - 59/12 = 22/12

... and simplify

22/12 = 11/6

separate the wholes

11/6 = 6/6 + 5/6 = 1 5/6

Answer:

1 10/12

Step-by-step explanation:

Bc 6 3/4=6 9/12 and 6 9/12-4 11/12 can be made into 5 21/12-4 11/12 which equals 1 10/12