HELP PLZ WILL GIVE BRAINLIST

HELP PLZ WILL GIVE BRAINLIST

Answers

Answer 1

Answer:

V=141.3

Step-by-step explanation:

V=π*r2*h or V=B.h

V=3.14*(3*3)*5

V=3.14*9*5

V=141.3


Related Questions

You are randomly selecting cards from a deck of cards. What is the probability of pulling a king, replacing it, and then pulling a queen?

Answers

Answer:

1/52 since there are usually 52 cards in a deck

Step-by-step explanation:

Please brainliest

Answer:

1/52 since there are usually 52 cards in a deck

Step-by-step explanation:

Find the volume of the cylinder height 10 in base radius 3 in

Answers

Answer: 282.60in³

Step-by-step explanation:

When calculating the volume of a cylinder, the formula to use is:

= πr²h

where,

π = 3.14

r = radius = 3 in

h = height = 10 in

Volume = πr²h

= 3.14 × 3² × 10

= 282.60

Therefore, the volume of the cylinder is 282.60in³

whats 24/3 but not 8?

Answers

Answer: well, it =8 and it doesn’t have different answer so that all I have to tell you.

Step-by-step explanation: Hope this help I guess :^ sorry if you don’t want this kind of answer.

what is the area of the circle to the nearest square foot?

Answers

Answer:

G. 113

Step-by-step explanation:

We know that the diameter = 12, so the radius = 6.

area of circle = πr²

                       = π (6²)

                       = 36π

                       = 113.0973355 . . .

                        ≈ 113 ft²








Solve the exponential equation: 529 = 20 O = log 20 2 log 5 O = log 20 5 log 2 Oz C = log 4 2 O None of the above.

Answers

The exponential equation [tex]5^{(2x)[/tex] = 20 has no solution among the given options (a, b, c). Option D is the correct answer.

To solve the exponential equation [tex]5^{(2x)[/tex] = 20, we can take the logarithm of both sides of the equation. The logarithm with base 5 seems appropriate since the base of the exponential term is also 5. So, we have:

[tex]log_5(5^{(2x))[/tex] = [tex]log_5(20)[/tex]

Using the logarithm property [tex]log_a(a^b)[/tex] = b, we can simplify the left side of the equation:

2x = [tex]log_5(20)[/tex]

Next, we need to isolate x. Dividing both sides of the equation by 2 gives us:

x = (1/2) × [tex]log_5(20)[/tex]

Now, we can focus on simplifying the right side of the equation. Using the change of base formula for logarithms, we can express [tex]log_5(20)[/tex] in terms of common logarithms (log base 10) or natural logarithms (log base e). Let's use the common logarithm:

x = (1/2) × [tex]log_5(20)[/tex]

x = (1/2) × (log(20) / log(5))

Simplifying further:

x = (1/2) × (log(20) / log(5))

We can rewrite log(20) and log(5) using their prime factorizations:

x = (1/2) × (log(2² × 5) / log(5))

x = (1/2) × (2 × log(2) + log(5)) / log(5))

Now, we can distribute the (1/2) factor and simplify:

x = (log(2) + (1/2) × log(5)) / log(5)

x = log(2)/log(5) + (1/2) × log(5)/log(5)

x = log(2)/log(5) + (1/2)

Therefore, the correct answer is d. None of these.

Learn more about the exponential equation at

https://brainly.com/question/29113858

#SPJ4

The question is -

Solve the exponential equation:

5^{2x} = 20

a. x = log20/2 log 5

b. x = log20/5 log 2

c. x = log 4/ 2

d. None of these

Given the figure below, find the values of x and z.

Answers

Answer:

Value of :x = 12°z = 101°

By using the Vertically Opposite Angles property

79 = 6x + 7 where value we get is x = 12

By using Linear pair property

79 + z = 180 where we get the value of z = 101

Differentiate Concavity
Upward and Downward.

Answers

If the second derivative is positive, the function is concave upward, and if the second derivative is negative, the function is concave downward.

To determine the concavity of a function, we look at its second derivative. If the second derivative is positive, the function is concave upward. If the second derivative is negative, the function is concave downward.

To understand concavity, we start with the first derivative of a function. If the first derivative is positive over an interval, it means that the function is increasing within that interval. Similarly, if the first derivative is negative, the function is decreasing.

Now, let's consider the second derivative. If the second derivative is positive over an interval, it means that the first derivative is increasing within that interval. This implies that the function is becoming steeper as x increases, indicating concave upward curvature.

On the other hand, if the second derivative is negative over an interval, it means that the first derivative is decreasing within that interval. This indicates that the function is becoming less steep as x increases, indicating concave downward curvature.

In summary, the sign of the second derivative determines the concavity of a function. If the second derivative is positive, the function is concave upward, and if the second derivative is negative, the function is concave downward. This understanding of concavity helps us analyze the shape and behavior of functions in calculus.

Learn more about derivative here:

https://brainly.com/question/29144258

#SPJ11

Find sin(a) in the triangle.
Choose 1 answer:

Answers

Answer:

5/13

Step-by-step explanation:

Find the diagram to the question attached

Given the following considering angle A

Hypotenuse = 13 = AB

Opposite = 5 (side facing the angle A) = BC

Adjacent = 12

According to SOH CAH TOA;

Sin theta = opposite/hypotenuse

Sin(a) = BC/AB

Sin(a) = 5/13

Hence the value of sin(a) is 5/13

For each set of points below, determine the distance between them using the distance formula. If necessary express your answer in simplest radical form OR rounded to the nearest tenth.

Answers

where are the points below? i cant do anything if there isnt numbers or anything to work with

Since you didn’t give any points I’ll just give an example, and hope you answer using it

With a set of points (x1, y1) and (x2, y2) you can find the distance by d = [ (x2 - x1)2 + (y2 - y1)2 ]1/2.

Let (x1, y1) be (-4, 5) and (x2, y2) be (-1, -1)

d = [ (-1 - -4)2 + (-1 - 5)2 ]1/2 = [ (3)2 + (-6)2 ]1/2 = [ 9 + 36 ]1/2 = [ 45 ]1/2 = 3*[5]1/2 = 6.7

Which equation matches the table?

X 4 5 6 7 8
Y 8 10 12 14 16


y = x - 4
y = x ÷ 2
y = x + 4
y = 2 x

Answers

Answer:

y=2x

Step-by-step explanation

do perpendicular lines intersect at a 60 degree angle?

Answers

No, they intersect at a 90 degree angle.

Answer:

Perpendicular angles create a 90 degree angle

Step-by-step explanation:

HELPPP PLEASEEEE
enter the value that makes the equation 1/4(12x-8)+2x=-17

Answers

Answer:

x = -3

Step-by-step explanation:

1/4(12x - 8) + 2x = -17

3x - 2 + 2x = -17

3x + 2x = -17 + 2

5x = -15

5x ÷ 5 = -15 ÷ 5

x = -3

Min read 1/8 of his book before lunch and 1/4 of his book after lunch. He says he has read 2/12 ​of his book.

Which statement is most accurate?

Answers

Answer:

neither

Step-by-step explanation:

he has read 3/6 of his book

nadine+mixes+a+juice+solution+that+is+made+from+3+gallons+of+an+80%+juice+solution+and+1+gallon+of+a+20%+juice+solution.+what+is+the+percent+concentration+of+the+final+solution?+25%+50%+65%+70%

Answers

The percent concentration of the final juice solution is 65%. The final solution is composed of 65% pure juice.

To compute the percent concentration of the final juice solution, we can calculate the weighted average of the two individual solutions based on their percentages and volumes.

The 80% juice solution is 3 gallons, which means it contains 0.8 * 3 = 2.4 gallons of pure juice.

The 20% juice solution is 1 gallon, which means it contains 0.2 * 1 = 0.2 gallons of pure juice.

The total volume of the final solution is 3 + 1 = 4 gallons.

The total amount of pure juice in the final solution is 2.4 + 0.2 = 2.6 gallons.

To calculate the percent concentration, we divide the amount of pure juice by the total volume and multiply by 100:

Percent concentration = (Pure juice / Total volume) * 100

Percent concentration = (2.6 / 4) * 100

Percent concentration = 65%

Therefore, the percent concentration of the final juice solution is 65%.

To know more about percent concentration refer here:

https://brainly.com/question/8307839#

#SPJ11

brainliest if right
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^+272x+110

Answers

Answer:

17.40 seconds

Step-by-step explanation:

You would you the quadratic formula to get 17.40 seconds

Find the slope of the graph.

Answers

Answer:

The slope is -1.3

Step-by-step explanation:

Plug it in stat, but Ill try to explain it. y2-y1/x2-x1

(-3,4)(3,-4)

-4-4/3-(-3) = -1.3

which set of side lengths form a right triangle ? 12 cm, 13 cm , 14 cm
9 cm , 15 cm , 18cm
7cm , 24 cm , 25 cm,
2 cm , 2 cm , 4cm

Answers

Answer:

12 cm ,13cm 14cm is the correct answer

Find the value of x. Round to the nearest tenth

Answers

Answer:

36.869 or 36.87

Step-by-step explanation:

first, you find which trig function you are using. in this case, tangent.

then, you put calculate the arctan(3/4) which is 36.96989765

The measure of angle x = 36.9°

What is right triangle?

"It is a triangle in which one of the angle measures 90° "

What is hypotenuse?

"It is the longest side of the right triangle."

What is Pythagoras theorem?

"In a right triangle [tex]a^{2}+ b^{2}= c^{2}[/tex] where c is the hypotenuse and a, b are other two sides of the right triangle."

What is sine angle?

"In a right triangle, sine of angle [tex]\theta[/tex] is the ratio of the opposite side of angle [tex]\theta[/tex] to the hypotenuse."

For given question

First we find the hypotenuse of the right triangle.

Let 'h' be the hypotenuse of the right triangle.

Using Pythagoras theorem,

[tex]h^{2} =3^{2} +4^{2} \\\\h^{2} =9+16\\\\h^{2} =25\\\\h=5[/tex]

We find the sine of angle 'x'

[tex]\Rightarrow sin(x)=\frac{opposite~side~of~x}{hypotenuses} \\\\\Rightarrow sin(x)=\frac{3}{5}\\\\ \Rightarrow sin(x)=0.6\\\\\Rightarrow x=sin^{-1}(0.6)\\\\\Rightarrow x=36.9^{\circ}[/tex]

Therefore, x = 36.9°

Learn more about the sine angle here:

https://brainly.com/question/13256520

#SPJ2

THIS IS DUE TODAY Harper rolled a number cube 96 times. Her results are shown in the table. What is the experimental probability of rolling an even number? Simplify if needed.

Answers

Answer:  50/96

Step-by-step explanation:

I assume the table is:

Even numbers are 2, 4, and 6.  The total number of times she rolled an even number is 13 + 17 + 20 = 50.

So the probability is 50/96

PLEASE HELP WITH MY HOMEWORK SCREEN SHOT ATTACTCHED

Answers

Answer:

first, second and fourth are all correct

Step-by-step explanation:

I need some help with this, just like Rocky, ASAP!

Answers

Answer:

12 possible roots

Step-by-step explanation:

we can use the rational zeros theorem which says that in order to find the possible roots for a polynomial we need to divide the factors of the constant by the factors of the coefficient of the leading term

which in this case is:

±(1, 2, 3, 4, 6, 12)/(1)

±1, 2, 3, 4, 6, 12

so we have 12 possible roots

Let f:R" + R" be a linear transformation. Prove that f is injective if and only if the only vector v ERM for which f(v) = 0 is v = 0.

Answers

If  f(u1) = f(u2), then u1 = u2, demonstrating that f is injective.

To prove that a linear transformation f: R^n -> R^m is injective if and only if the only vector v in R^n for which f(v) = 0 is v = 0, we need to establish both directions of the statement.

Direction 1: f is injective implies the only vector v such that f(v) = 0 is v = 0.

Assume that f is injective. We want to show that if f(v) = 0 for some vector v in R^n, then v must be the zero vector, v = 0.

Suppose there exists a non-zero vector v in R^n such that f(v) = 0. Since f is a linear transformation, it satisfies the property that f(0) = 0, where 0 represents the zero vector in R^n.

Now, consider the vector u = v - 0 = v. Since f is linear, it must satisfy the property that f(u) = f(v - 0) = f(v) - f(0) = 0 - 0 = 0.

Since f(u) = 0, and f is injective, it implies that u = 0. However, we initially assumed that v is a non-zero vector. Therefore, we have reached a contradiction.

Hence, if f(v) = 0 for some vector v in R^n, then v must be the zero vector, v = 0.

Direction 2: The only vector v such that f(v) = 0 is v = 0 implies that f is injective.

Now, assume that the only vector v in R^n such that f(v) = 0 is v = 0. We want to show that f is injective.

Let u1 and u2 be two arbitrary vectors in R^n such that f(u1) = f(u2). We need to prove that u1 = u2.

Consider the vector u = u1 - u2. Since f is linear, we have:

f(u) = f(u1 - u2) = f(u1) - f(u2) = 0.

Since f(u) = 0, and the only vector v such that f(v) = 0 is v = 0, it follows that u = 0. This implies that u1 - u2 = 0, which means u1 = u2.

Therefore, if f(u1) = f(u2), then u1 = u2, demonstrating that f is injective.

By proving both directions, we have established that f is injective if and only if the only vector v  in R^n for which f(v) = 0 is v = 0.

Visit to know more about Injective:-

brainly.com/question/5614233

#SPJ11

What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:114.9m^3

Step-by-step explanation:

Help me please!!!!!!!!!!!!!!!

Answers

Answer:

reflection over y axis

Step-by-step explanation:

fyou plant tomato plants in your garden and divide them into four plots. all of the plants are the same variety, and receive the same amount of water and sunlight. you add a different fertilizer to each plot. one plot receives no fertilizer at all. at the end of the month you count how many tomatoes were produced by each plant. the independent variable is the

Answers

The independent variable in this scenario is the type of fertilizer added to each plot.

The independent variable is the factor that the researcher deliberately manipulates or changes in order to observe its effect on the dependent variable, which is the number of tomatoes produced by each plant in this case.

In the experiment, the researcher is interested in investigating how different fertilizers affect the growth and yield of tomato plants. To determine this, four plots are created, with each plot receiving a different type of fertilizer. This allows for a comparison of the effects of the different fertilizers on the dependent variable, which is the number of tomatoes produced.

By controlling other factors such as the tomato variety, amount of water, and sunlight, the researcher ensures that any differences observed in tomato production can be attributed to the independent variable, which is the type of fertilizer.

This setup allows for a systematic investigation of the relationship between the independent variable and the dependent variable in order to draw meaningful conclusions about the impact of fertilizers on tomato plant growth.

To know more about independent variable, refer here:

https://brainly.com/question/28382027#

#SPJ11

The lengths of new pencils are normally distributed with mean 11 cm and standard deviation 0.10 cm. Find the probability that a new pencil picked at random has a length that is: a) Less than 11.15 cm [3 marks] b) Greater than 10.85 cm Between 10.9 cm and 11.1 cm II. The mean number of oil tankers at a port city is eight per day. Find the probability that the number of oil tankers on any given day is: a) Exactly 8 b) At most 3 c) More than 3

Answers

Given data: The lengths of new pencils are normally distributed with mean 11 cm and standard deviation 0.10 cm

.a) Find the probability that a new pencil picked at random has a length that is less than 11.15 cm: Formula used: `Z = (X - μ) / σ`Where,Z = Standard score X = Random Variableμ = Meanσ = Standard Deviation Calculating the value of Z, `Z = (X - μ) / σ = (11.15 - 11) / 0.10 = 1.5`

Now, look up the probability corresponding to the value 1.5 from the Z-Table. P(Z < 1.5) = 0.9332 Hence, the probability that a new pencil picked at random has a length that is less than 11.15 cm is `0.9332` approximately.

b) Find the probability that a new pencil picked at random has a length that is greater than 10.85 cm: Calculating the value of Z, `Z = (X - μ) / σ = (10.85 - 11) / 0.10 = -1.5`Now, look up the probability corresponding to the value -1.5 from the Z-Table. P(Z > -1.5) = P(Z < 1.5) = 0.9332Hence, the probability that a new pencil picked at random has a length that is greater than 10.85 cm is `0.9332` approximately.

c) Find the probability that a new pencil picked at random has a length between 10.9 cm and 11.1 cm:

Calculating the value of Z, Z1 = (X1 - μ) / σ = (10.9 - 11) / 0.10 = -1 and Z2 = (X2 - μ) / σ = (11.1 - 11) / 0.10 = 1Hence, the probability that a new pencil picked at random has a length between 10.9 cm and 11.1 cm is P( -1 < Z < 1 ) = P(Z < 1) - P(Z < -1) = 0.8413 - 0.1587 = 0.6826 approximately. II. The mean number of oil tankers at a port city is eight per day.

a) Find the probability that the number of oil tankers on any given day is exactly 8:P(X = 8)Formula used: `P(X = x) = (e^(-μ) * μ^x) / x!`

Where, X = Random Variableμ = Mean x = Value of Random Variable P(X = 8) = (e^(-8) * 8^8) / 8! = 0.106Hence, the probability that the number of oil tankers on any given day is exactly 8 is `0.106` approximately.

b) Find the probability that the number of oil tankers on any given day is at most 3:

Formula used: `P(X ≤ x) = Σ P(X = i) i=0 to where, X = Random Variable(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = (e^(-8) * 8^0) / 0! + (e^(-8) * 8^1) / 1! + (e^(-8) * 8^2) / 2! + (e^(-8) * 8^3) / 3! = 0.0003Hence, the probability that the number of oil tankers on any given day is at most 3 is `0.0003` approximately.c) Find the probability that the number of oil tankers on any given day is more than 3:Formula used: `P(X > x) = 1 - P(X ≤ x)`Where,X = Random VariableP(X > 3) = 1 - P(X ≤ 3) = 1 - ( P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) ) = 1 - (e^(-8) * 8^0) / 0! + (e^(-8) * 8^1) / 1! + (e^(-8) * 8^2) / 2! + (e^(-8) * 8^3) / 3! = 0.9997Hence, the probability that the number of oil tankers on any given day is more than 3 is `0.9997` approximately.

To know more about standard deviation refer to:

https://brainly.com/question/475676

#SPJ11

Use the distributive property to simplify the following expression: 3 (2 + 5z.)​

Answers

3(2+5z)
3 x 2 = 6 and 3 x 5z = 15z
6+15z

Answer:

6+15z

Step-by-step explanation:

We multiply 3 to 2+5z. So, (3x2)+(3x5z)

HELPPPPPPPPPP!!!!!!!!!!!!

Answers

The answer would be A. C stands for color and the (h) stands for height. The h is in parentheses because it is what changes and is then multiplied to the C. The C can only change when the h changes.
Goodluck with the quiz! :)

I need help please, anyone will to help?

Answers

Answer:you just add the numbers to get answer

Step-by-step explanation:

i think you would add up all the numbers? if not you should try out calculator soup!! it’s helped me many times with this type of math back then!!<33

Find the volume of the following. Round to nearest hundredths place:
Use 3.14 for II
+
7 mi
2 mi

Answers

Answer:

volume of cone=1/3×pi×r²×h

volume of cone =1/3×22/7×(2mi)²×7mi

volume of cone =29.32mi³

Other Questions
T/F Beryllium, Be, and chlorine, Cl, form a binary ionic compound with a one-to-two ratio of beryllium ions to chloride ions. The formula for the compound is BeCl2 in 95% of cases of down's syndrome, there Is one extra chromosome (number 21) in every cell.this aneuploid condition is most likely the resultof What source dose water conservation use Compare the impact of different oil prices on the governments' NPV for UAE, Nigeria & Oman. The cost per Barrel ($/bbl) for oil extraction in these countries are assumed to be $10, $20 and $15 respectively. You may choose to take OPEC data as your main reference for oil production rates during the five-year interval between Jan. 2012- Jan. 2017. Consider the following oil price per bbl as three different scenarios: 1. $30/bbl 2. $65/bbl 3. $100/bbl a) For each of the above oil selling prices, calculate the Net Present Value of the oil export during the five-year period for each of the countries. b) Based on the oil extraction cost/barrel for each country, calculate the selling price of oil per barrel so that a net profit margin of 15% is achieved for each of the countries of interest. c) How much is the additional NPV generated for UAE during the mentioned time interval if the oil selling price was $75/bbl instead of $65/bbl (that is, a $10 increase in selling price per barrel)? C.14. If X ~ N(10, 3) and Y ~ N(15, 8), and if X and Y are independent, what is the probability distribution of a. X+Y b. X-Y c. 3X d. 4X + 5Y 9. The sustainable growth rate of a firm is closely related tothe firms:a. working capital policyb. growth rate in salesc. return on equityd. ratio of operating revenue to operating expenses people may engage in a variety of social statuses during their lives, or even during the course of a day. what term refers to a person's ability to emphasize one identity in a particular setting or group and another in a totally different setting or group? Consider the following code. Assume that x is any real number. P=1 ; i = 1 ;While (i QN 3:There are two developers interested in buying a piece of land in a busy town. You have been asked to estimate the residual value for each development using the following information: Developers profit: 15% Property management fees: 1.5% of Annual RentalIncome Professional fees: 10% of Building costs Voids & contingencies: 3% of Building costs Advertising, marketing & sales fees: 5% of completed development Site Acquisition fees: 2%a) Developer A wishes to develop an office building 4,000m2 gross external area (with 3,600m2 Net Internal Area). It is estimated that Building costs will be 2,500,000; Rent is 300 per m2; and the development will take 24 months. You also know that the finance rate is 9% and the developer s yield is 8%. (7 Marks)b) Developer B plans to develop luxury flats on the site. The developer is proposing 24 units which are expected to sell at 250,000 each. It is estimated that the development period will be 18 months with development costs reaching 2,100,000. The developer s finance rate is 10%. (7 Marks)c) Discuss the various techniques that can be used to estimate construction costs at the pre-contract stages, including outlining the procedures followed to arrive at fairly accurate cost reports. (6 marks) PARKA MAUR The War an Poverty has been gong on to decades While event spending continues to the are not a Pemprovide samples of new or cativ weys which makes might as they1. The War on Poverty has b for a given quantity, the total profit of a perfectly competitive firm is equal to the vertical distance between the firm's total revenue curve and its total cost curve. T/F Numerical Analysis and differential equation( please help with Q21 the polynomial p2(x) = 1 1 2 x2 is to be used to approximate f (x) = cos x in [1 2 , 1 2 ]. find a bound for the maximum error) John's employment wages are $ 158,000 for 2021. What is theemployee portion of the Social Security tax that will be deductedon this amount?a) $ 9,796.00b) $ 8,853.60c) $ 8537.40d) $ 10,534.05 A cell membrane at 37C is found to be permeable to Ca2+ but not to anions, and analysis shows the inside concentration to be 0.100 M and the outside concentration to be 0.001 M in Ca2+.a. What potential difference in volts would have to exist across the membrane for Ca2+ to be in equilibrium at the stated concentrations? Assume that activity coefficients are equal to 1. Give the sign of the potential inside with respect to that outside.b. If the measured inside potential is +100 mV with respect to the outside, what is the minimum (reversible) work required to transfer 1 mol of Ca2+ from outside to inside under these conditions? Factory Overhead Costs During May, Jernigan Company incurred factory overhead costs as follows: indirect materials, $3,080; indirect labor, $2,910; utilities cost, $1,280; and factory depreciation, $3,640. Journalize the entry to record the factory overhead incurred during May. If an amount box does not require an entry, leave it blank. Consider the following reaction:POCl3(g) POCl(g) + Cl2(g) Kc = 0.450A sample of pure POCl3(g) was placed in a reaction vessel and allowed to decompose according to the above reaction. At equilibrium, the concentrations of POCl(g) and Cl2(g) were each 0.150 M. What was the initial concentration of POCl3(g)?Answer: 0.200 M Answer the questions below using the following information on stocks A, B, and C. Stock ABC Beta 1.822.20.8 Assume the risk-free rate of return is 3% and the expected market return is 12% According to CAPM, what is the required return for stocks A, B, and C? Calculate the definite integral S4 **+2 2 dx, by: +2 a) trapezoidal rule using 6 intervals of equal length. b) Simpson's rule using 6 intervals of equal length. Round the values, in both cases to four decimal points describe and give an example ofTropical xerophytic forests and subtropical rain forests Charlie's Indifference curves have the equation y constant/x, where larger constants correspond to better indifference curves. Charlle strictly prefers the bundle (5, 13) to the bundle O None of the a