i need to find the area and circumference for each circle

I Need To Find The Area And Circumference For Each Circle

Answers

Answer 1

Answer:

Step-by-step explanation:

5


Related Questions

Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation. (4,-6) y=-3/4x+1

Answers

Slope is -3/4 since it is parallel to the given equation.

Plug in the coordinate into y = mx+b.

-6 = (-3/4)(4) + b
b = -3

Equation is: y = (-3/4)x - 3

If you stacked the cubes on top of each other to make an enormous tower, how high would they reach?

Answers

Answer:

Is this an actual question

Consider the following pair of equations:

y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

Answer:

y = -2x + 8

x = 3

y = x - 1

y = 2

Step-by-step explanation:

if 2x + y = 8 and x - y = 1

you can solve using substitution, elimination, matrix etc.

You will find that x = 3 and y = 2

Hope this helped.

What is move-in costs and what might be included in move-in costs?

Answers

Answer:

A move in cost is a non-refundable fee that landlords charge new tenants to cover the cost of touch ups and small changes made to the rental

Find the vertex of the parabola whose equation is y = -2x2 + 8x - 5.

A-(2, 27)
B-(2, 19)
C-(2, 3)

WILL MARK BRAINLIEST -JAYVEE

Answers

I believe the answer to your question is A
I promise the answer is a

I need help plz I’ll appreciated

Answers

Answer:

y = x -3

Step-by-step explanation:

Evaluate the integral by making an appropriate change of variables. x – 2y dA, where R is the parallelogram 3x +y R = = enclosed by the lines &– 2y=0, x-2y=4, 3x+y=1, and 3x +y=8.

Answers

a. The parallelogram R is degenerate, consisting of a single point (4, 0).

b. The integral ∬_R (x - 2y) dA over the degenerate parallelogram R evaluates to 0.

a. To evaluate the integral ∬_R (x - 2y) dA, where R is the parallelogram enclosed by the lines -2y = 0, x - 2y = 4, 3x + y = 1, and 3x + y = 8, we can make an appropriate change of variables to simplify the integral. Here's how to do it step by step:

Identify the vertices of the parallelogram R by finding the intersection points of the given lines. Solving the system of equations:

-2y = 0 (equation 1)

x - 2y = 4 (equation 2)

3x + y = 1 (equation 3)

3x + y = 8 (equation 4)

From equation 1, we have y = 0. Substituting this into equation 2, we get x = 4. Therefore, one vertex of the parallelogram is (4, 0).

Next, solving equations 3 and 4, we find another intersection point by equating the expressions for y:

1 - 3x = 8 - 3x

-3x + 1 = -3x + 8

1 = 8

This is a contradiction, so equations 3 and 4 are parallel lines that do not intersect. Therefore, the parallelogram R is degenerate and only consists of a single point (4, 0).

b. Make an appropriate change of variables to simplify the integral. Since the parallelogram R is degenerate and consists of a single point, we can use a change of variables to transform the integral to a simpler form. Let's introduce new variables u and v, defined as follows:

u = x - 2y

v = 3x + y

The Jacobian determinant of the transformation is calculated as follows:

|Jacobian| = |∂(x, y)/∂(u, v)|

= |∂x/∂u ∂x/∂v|

= |1 -2|

= 2

c. Express the integral in terms of the new variables. We need to find the limits of integration in terms of u and v. Since the parallelogram R is degenerate and consists of a single point, the limits of integration are u = x - 2y = 4 - 2(0) = 4 and v = 3x + y = 3(4) + 0 = 12.

The integral becomes:

∬_R (x - 2y) dA = ∫∫_R (x - 2y) |Jacobian| dudv

= ∫∫_R (x - 2y) (2) dudv

= 2∫∫_R (u) dudv

Evaluate the integral. Since R is degenerate and consists of a single point (4, 0), the integral becomes:

2∫∫_R (u) dudv = 2u ∫∫_R dudv = 2u(Area of R)

The area of a degenerate parallelogram is zero, so the integral evaluates to:

2u(Area of R) = 2(4)(0) = 0.

Therefore, the value of the integral ∬_R (x - 2y) dA over the given degenerate parallelogram R is 0.

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what do you think???​

Answers

Answer:

To entertain

Step-by-step explanation:

Because the dad made a joke to entertain, and the story is entertaining the readers.

Answer: entertain

Step-by-step explanation:

Help! Will give brainliest and 10 points!

Answers

Answer:

its b

Step-by-step explanation:

trust me

WILL MARK BRAINLIEST ON CORRECT ANSWER
Which type of line symmetry does the figure have?
vertical
horizontal
diagonal
none

Answers

i believe none is the answer due to the fact it isn’t symmetrical. sorry if i am wrong. let me know if i am

A square underwent a dilation using a scale factor of 1:4. Find the missing side length, x, of the smaller square

Answers

Answer:

[tex]x= 3.5[/tex]

Step-by-step explanation:

Given

[tex]k =1:4[/tex] --- scale factor

See attachment for squares

Required

Find x

The corresponding side of length x on the bigger square is 14.

So, we have:

[tex]k = x : 14[/tex]

Equate both values of k

[tex]x : 14 = 1 : 4[/tex]

Express as fractions

[tex]\frac{x }{ 14 }= \frac{1 }{ 4}[/tex]

Solve for x

[tex]x= \frac{1 }{ 4} * 14[/tex]

[tex]x= \frac{14}{4}[/tex]

[tex]x= 3.5[/tex]

Find The Circumference Of A Circle With D =22.1

Answers

Answer:

138.86

Step-by-step explanation:

Multiply the radius by 2 to get the diameter.

Multiply the result by π, or 3.14 for an estimation.

That's it; you found the circumference of the circle.


If you give me five apples a day how many days would it take me to get 800 apples.

Answers

Answer:

160 days

Step-by-step explanation:

800 divided by 5 equal 160

Answer:

your answer is 160 days

Step-by-step explanation:

800÷5=160 days

I hope this helps

have a nice day/night

mark brainliest, please :)

what is 8.7+[2.7-(4x0.5)]x9

Answers

Question: what is 8.7+[2.7-(4x0.5)]x9

Evaluating probability: A particular type of mouse's weights are normally distributed, with a mean of 359 grams and a standard deviation of 33 grams. If you pick one mouse at random, find the following: (round all probabilities to four decimal places) a) What is the probability that the mouse weighs less than 405 grams? b) What is the probability that the mouse weighs more than 461 grams? c) What is the probability that the mouse weighs between 406 and 461 grams? d) Is it unlikely that a randomly chosen mouse would weigh less than 405 grams?

Answers

a) Probability that the mouse weighs less than 405 grams: 0.8461

b) Probability that the mouse weighs more than 461 grams: 0.0062

c) Probability that the mouse weighs between 406 and 461 grams: 0.8302

d) It is not unlikely that a randomly chosen mouse would weigh less than 405 grams.

What is the probability that the mouse weighs less than 405 grams?

Using normal distribution;

a) Probability that the mouse weighs less than 405 grams:

To find this probability, we need to calculate the area under the normal curve to the left of 405 grams. We can use the z-score formula to standardize the value.

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For 405 grams:

z = (405 - 359) / 33

Using a standard normal distribution table or calculator, we can find the probability associated with the z-score.

The probability that the mouse weighs less than 405 grams is approximately 0.8461.

b) Probability that the mouse weighs more than 461 grams:

Similarly, we need to calculate the area under the normal curve to the right of 461 grams.

For 461 grams:

z = (461 - 359) / 33

Using the standard normal distribution table or calculator, we find the probability associated with the z-score.

The probability that the mouse weighs more than 461 grams is approximately 0.0062.

c) Probability that the mouse weighs between 406 and 461 grams:

To find this probability, we calculate the area under the normal curve between the z-scores for 406 and 461 grams.

For 406 grams:

z₁ = (406 - 359) / 33

For 461 grams:

z₂ = (461 - 359) / 33

We can then find the probability associated with each z-score and subtract them to get the desired probability.

The probability that the mouse weighs between 406 and 461 grams is approximately 0.8302.

d) Is it unlikely that a randomly chosen mouse would weigh less than 405 grams?

To determine if it is unlikely, we compare the probability from part (a) with the significance level or threshold value. Let's assume a significance level of 0.05 (5%).

The probability from part (a) is 0.8461, which is greater than 0.05. Therefore, it is not unlikely that a randomly chosen mouse would weigh less than 405 grams.

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I need help with this plssss
Expert plsss help meeeee

Answers

Answer: 350

Step-by-step explanation:

Answer:

1,283 m3

Step-by-step explanation:

Ok so the volume formula is:

V = π×r² × h/3

π (pi) = 3.14

² = power of two so that number times that number

Example:

3² = 3 × 3 = 9

To find the radius since the diameter is given divide by 2:

14 / 2 = 7

Next we solve the equation:

V = 3.14 × 7² × 25/3 = 1282.817

To round to the neareast whole number 1,283

Event A: You roll a double. Event B: The sum of the two scores is even. Event C: The score on the blue die is greater than the score on the red die. Event D: You get a 6 on the red die. 1. Think about the probability of two of these events both happening in one roll of the two dice. For example, the probability that events A and D both occur—"P(A and D)"—is 1/36, because only a double 6 satisfies the requirements. There are five other possibilities of two events both happening in one roll. What are the probabilities of those five other possibilities? a. P(A and B) b. PIA and C) C. P(B and C) d. P(B andD) e. P(C and D)

Answers

The probabilities of the five other possibilities are as follows: a) P(A and B) = 1/18, b) P(A and C) = 1/12, c) P(B and C) = 5/18, d) P(B and D) = 1/18, and e) P(C and D) = 1/6.

a) To calculate P(A and B), we need to find the number of outcomes where both a double and an even sum occur. There are 18 possible outcomes with doubles (6 possibilities) multiplied by the number of outcomes where the sum is even (3 possibilities), resulting in a probability of 1/18.

b) P(A and C) requires both a double and the blue die having a higher score than the red die. Out of the 36 possible outcomes, there are 12 outcomes where a double occurs and the blue die score is greater than the red die score, resulting in a probability of 1/12.

c) To calculate P(B and C), we need to find the number of outcomes where the sum is even and the blue die score is greater than the red die score. There are 18 possible outcomes where the sum is even, and out of these, 5 outcomes also satisfy the condition for the blue die score being greater than the red die score. Therefore, the probability is 5/18.

d) P(B and D) requires both an even sum and a 6 on the red die. Out of the 36 possible outcomes, 2 outcomes satisfy these conditions (rolling a 3 on the blue die and rolling a 6 on the red die, or vice versa), resulting in a probability of 1/18.

e) P(C and D) involves both the blue die having a higher score than the red die and rolling a 6 on the red die. Out of the 36 possible outcomes, 6 outcomes satisfy these conditions, resulting in a probability of 1/6.

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Distribute
3x(5x-5)

a) 12x^2+8x
b) 15x^2+10x
c) 12x^2-9x
d) 15x^2-15x​

Answers

Answer:

d

Step-by-step explanation:

3x times 5x equals 15x^2

3x times -5 equals -15x

---> 15x^2 - 15x

The nth term of another sequence is n² + 7n
Find the 10th term of the sequence

Answer with explanation will get marked as brainiest

Answers

Answer:

a(10) = 170

Step-by-step explanation:

Given that,

The nth term fo the sequence is :

a(n) =  n² + 7n

We need to find the 10th term of the sequence.

Put n = 10 in the above sequence,

a(10) =  (10)² + 7(10)

= 100 + 70

= 170

So, the 10th term of the sequence is 170.

***WILL BE MARKED BRAINLIEST***​

Answers

Answer:

a

Step-by-step explanation:

Which function is graphed?

Answers

Answer: it’s B or C

Step-by-step explanation

The volume of a sphere is 36 cubic inches. What is the radius of the sphere? ​

Answers

Answer:

ok we know that volume of a sphere is 4/3 pi r cubed so just replace the letters with the entities given

Answer:

2.7 cm

Step-by-step explanation:

Consider the differential equation, and its boundary conditions x2 dạy d.x2 2.x dy da 4y = re-2 y(0) = y(00) = 0 - Determine the Green's function and use it to get the solution

Answers

Answer:

y(x)=0

Step-by-step explanation:

To solve the given differential equation using Green's function, we need to first determine the Green's function associated with the given boundary conditions.

The Green's function, G(x, ξ), satisfies the following equation:

(x^2 d^2G / dx^2) + (2x dG / dx) - 4G = δ(x - ξ)

where δ(x - ξ) is the Dirac delta function. We can solve this equation subject to the boundary conditions:

G(0, ξ) = G(∞, ξ) = 0

To solve this differential equation, we assume a solution of the form:

G(x, ξ) = A(x)B(ξ)

Substituting this form into the differential equation and simplifying, we get:

x^2 d^2A / dx^2 + 2x dA / dx - 4A = 0

This is a homogeneous second-order ordinary differential equation. We can solve it by assuming a power series solution of the form:

A(x) = ∑[n=0 to ∞] (a_n x^n)

Substituting this series into the differential equation and equating coefficients of like powers of x, we get:

a_n [(n + 2)(n + 1) - 4] = 0

Solving this equation for the coefficients, we find:

a_0 = 0

a_1 = 0

a_n = 4 / [(n + 2)(n + 1)] for n ≥ 2

Therefore, the solution for A(x) is:

A(x) = 4 * ∑[n=2 to ∞] (x^n / [(n + 2)(n + 1)])

Now, we can substitute the solution for A(x) into the form of the Green's function:

G(x, ξ) = A(x)B(ξ)

G(x, ξ) = 4 * ∑[n=2 to ∞] (x^n / [(n + 2)(n + 1)]) * B(ξ)

To determine B(ξ), we impose the boundary conditions:

G(0, ξ) = 0 => 4 * ∑[n=2 to ∞] (0 / [(n + 2)(n + 1)]) * B(ξ) = 0

G(∞, ξ) = 0 => 4 * ∑[n=2 to ∞] (ξ^n / [(n + 2)(n + 1)]) * B(ξ) = 0

From these conditions, we can conclude that B(ξ) = 0. Hence, the Green's function is:

G(x, ξ) = 0

Now, to obtain the solution to the differential equation, we can use the Green's function in the following integral form:

y(x) = ∫[0 to ∞] G(x, ξ) f(ξ) dξ

where f(ξ) is the inhomogeneous term in the original differential equation.

Since G(x, ξ) = 0, the integral evaluates to zero as well. Therefore, the solution to the given differential equation is:

y(x) = 0

In conclusion, the solution to the differential equation with the given boundary conditions is y(x) = 0.

Which ordered pair would not be a solution to y = x3 – X ?
(-4,-60)
(-3,-24)
(-2,-6)
(-1,-2)

Answers

Answer:

Step-by-step explanation:

is known that 47% of new freshmen at State University will graduate within 6 years. Suppose we take a random sample of n=64 new freshmen at State University. Let X = the number of these freshmen who graduate within 6 years. (Do not use a normal approximation for this problem. This is a binomial problem.) a) What is the probability that X < 29? b) What is the probability that 28 SXS 31? c) What is the probability that X = 31? d) What is the expected value of X? e) What is the variance of X?

Answers

On the probability, expected value and variance :

a) 0.000013b) 0.00414c) 0.000016d) 30.08e) 11.84

How to solve for a ransom sample?

a) The probability that X < 29 is given by:

P(X < 29) = P(X = 0) + P(X = 1) + ... + P(X = 28)

The probability of each of these events is given by the binomial distribution:

[tex]P(X = k) = \binom{n}{k} p^k (1 - p)^{n - k}[/tex]

where n = 64, p = 0.47, and k = 0, 1, ..., 28.

Plugging in these values:

[tex]P(X < 29) = \binom{64}{0} (0.47)^0 (1 - 0.47)^{64 - 0} + \binom{64}{1} (0.47)^1 (1 - 0.47)^{64 - 1} + ... + \binom{64}{28} (0.47)^{28} (1 - 0.47)^{64 - 28}[/tex]

≈ 0.000013

b) The probability that 28 SXS 31 is given by:

P(28 SXS 31) = P(X = 28) + P(X = 29) + P(X = 30) + P(X = 31)

Plugging in the values from the binomial distribution:

[tex]P(28 SXS 31) = \binom{64}{28} (0.47)^{28} (1 - 0.47)^{64 - 28} + \binom{64}{29} (0.47)^{29} (1 - 0.47)^{64 - 29} + \binom{64}{30} (0.47)^{30} (1 - 0.47)^{64 - 30} + \binom{64}{31} (0.47)^{31} (1 - 0.47)^{64 - 31}[/tex]

≈ 0.00414

c) The probability that X = 31 is given by:

[tex]P(X = 31) = \binom{64}{31} (0.47)^{31} (1 - 0.47)^{64 - 31}[/tex]

≈ 0.000016

d) The expected value of X is given by:

E(X) = np

where n = 64 and p = 0.47.

E(X) = 64 (0.47) = 30.08

e) The variance of X is given by:

Var(X) = np(1 - p)

Var(X) = 64 (0.47) (1 - 0.47) = 11.84

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Exercise 1. A batch of 400 containers for frozen orange juice contains 4 that are defective. Two are selected, at random, without replacement from the batch.

(1) What is the probability that the second one selected is defective given that the first one was defective?

(2) What is the probability that both are defective?

(3) What is the probability that both are non-defective?

Answers

Answer:

1. 1/13,300

2. 1/13,300

3. 2607/2660

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcome. The probability that an event will happen added to the probability of the same even not happening is 1.

Given that there are 400 containers of frozen orange juice with 4 that are defective,

non-defective = 400 - 4 = 396

Probability of selecting

Non-defective  = 396/400 = 99/100

Defective = 4/100 = 1/100

the probability that the second one selected is defective given that the first one was defective is the same as  the probability that both are defective

= 4/400 *3/399

= 1/13,300

the probability that both are non-defective

= 396/400 * 395/399

= 99/100 * 395/399

= 33*79/20*133

= 2607/2660

The equation below has infinitely many solutions.
-53 + 2 + 2x + 4 = ax + b
True
False

Answers

Answer:

definatly not infinitely it should be only one correct answer so false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

-53 + 2+ 2x + 4 = ax + b

-47 + 2x = ax + b

Since there is 3 variables you need 3 equations which you don't have. After simplifying there is nothing else you can do.

part d: using the diameter of each pizza, determine the scale factor relationship between the pizzas. (1 point)

Answers

To determine the scale factor relationship between the pizzas based on their diameters, we need to compare the sizes of the pizzas. The scale factor represents the ratio between the corresponding measurements of two similar objects.

In this case, we would compare the diameters of the pizzas. The scale factor can be calculated by dividing the diameter of one pizza by the diameter of another pizza. For example, if Pizza A has a diameter of 12 inches and Pizza B has a diameter of 8 inches, the scale factor between them would be: Scale Factor = Diameter of Pizza A / Diameter of Pizza B = 12 inches / 8 inches = 1.5. Therefore, the scale factor relationship between the pizzas is 1.5. This means that the diameter of Pizza A is 1.5 times larger than the diameter of Pizza B.

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Please Help!
Factor the following trinomial
[tex]9x^2-24x+16[/tex]
Please show work

Answers

=> 9x² - 24x + 16

Split the middle term(term with x) in such a manner so that the product of those parts is equal to the product of term with x² and constant. Here, those parts are 12 & 12 as 12*12 = 9*16.

=> 9x² - 24x + 16

=> 9x² - (12 + 12)x + 16

=> 9x² - 12x - 12x + 16

=> 3x(3x - 4) - 4(3x - 4)

=> (3x - 4)(3x - 4)

Method 2

=> 9x² - 24x + 16

=> (3x)² - 2(3x*4) + 4²

=> (3x - 4)²

=> (3x - 4)(3x - 4)

Method 3

In case if you can't find the factors of the middle term.

Say f(x) = 0, find the zeroes using quadratic formula. Zeroes of this eqⁿ are [-(-24) ± √24²-4(9)(16)] / 2(9) = 4/3 & 4/3

Therefore, f(x) = (x - 4/3)(x - 4/3) = (3x - 4)(3x - 4)/9

Ignore the numeric constant.

f(x) = (3x - 4)(3x - 4)

3.1 Find the HCF and LCM for the following three numbers: 868, 372 and 992

Answers

Answer:

HCF of 868,372,and 992 is 124

LCM of 868,372,and 992 is 20832

hope this answer helps you...

Other Questions
Consider the language ODDNOTAB consisting of all words that do not contain the substring ab and that are of odd length. (0) an applicable universal set (ii) the generator(s), (ili) an applicable function on the universal set and (iv) then use these concepts to write down a recursive definition for the language Give Maria Sdn Bhd, had taxable income of RM325,850 for the year. The company's marginal tax rate was 26 percent and its average tax rate was 21 percent. How much did the company have to pay in taxes for the year? Select one: A. RM32,356.34 B. RM53,235.45 C. RM68,428.50 D. RM45,335.21 T/F. social identity theory vs leadership emergence is fostered when a person fits with the identity of the group as a whole. 3-GT INC.s net income before tax on its financial statements was $700,000 and its taxable income was $810,000. The $110,000 difference is the aggregate of temporary book tax differences. GTs tax rate is 34 percent.a) Compute GTs tax expense for financial statement purposes.b) Compute GTs tax payable.c) Compute the net increase in GTs deferred tax assets or deferred tax liabilities (identify which) for the year. ANSWER A & B ONLY!! PLEASE DOUBLE CHECK YOUR WORKSEE DATA TABLE BELOWTreasury notes and bonds. Use the information in the following table: What is the price in dollars of the February 2004 Treasury note with semiannual payment if its par value is $100,000? What is the current yield of this note?A. What is the price in dollars of the February 2004 Treasury note? (Round to the nearest cent)B. What is the current yield? Which of these is not a valid identifier? A) firstNum B)Num1 C)First-Num D) num_first E) num 1st Which of the following best describes a process involved in the nervous system receiving internal signals?a. Electrical signals are passed from dendrites to axons in sensory neurons through the peripheral nervous system.b. 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Briefly explain what causes diseconomies of scale. c) Why is the Average Total Cost curve U-shaped? d) Explain why a firm might want to produce its good even after diminishing marginal returns have set in and marginal costs are rising. e) What economies of scale and economies of scope exist in (a) oil refining; (b) banking? The Smith family is evaluating two different college loans. Model A repays the loan in up to 10 years with equal monthly payments. Model B allows up to 25 years to repay the loan. Suppose that the family borrows $55,000 at 4.66% compounded monthly.a) Calculate the monthly payment and total interest paid under the standard plan over 10 years.b) Calculate the monthly payment and total interest paid under the extended plan over 25 years. select the rating scale used to assess significant alcohol problem. 15. A pendulum consisting of a sphere suspended from a light string is oscillating with a small angle with respect to the vertical. The sphere is then replaced with a new sphere of the same size but greater density and is set into oscillation with the same angle. How do the period, maximum kinetic energy, and maximum acceleration of the new pendulum compare to those of the original pendulum?Maximum Maximum Period Kinetic Energy Acceleration(A) Larger Larger Smaller (B) Smaller Larger Smaller(C) The same The same The same(D) The same Larger The same which term is defined as repeating units in an organic compound? Letf(x) = (2x+1)/3xIs f one-to-one? Justify your answer. Why does managerial accounting often involve working with numerous predictions and estimates? How is this method of accounting different than financial accounting? How can financial accounting help managerial accountants form the basis of their predictions and estimates? There are three questions here, please provide a paragraph for each question. To receive full credit, your response must clearly address the questions in complete and cogent sentences. A Leslie matrix for a population with the usual age groups, newborns (aged 0-1), 1-year-olds (aged 1-2), etc. is given below. 0 2 0 L= 0 0 0.65 0 0.5 0 Assume that there are 60 newborns, 30 one-year-olds and 25 two-year-olds, and that the Leslie matrix has 70 eigenvalue c = 0.85 and eigenvector 25 L25 a) The initial population X(0 Select an answer In eigenvector of c= 0.85. is is not b) Select which of the following is correct way to compute X(13), the population at time 13. 2 0 70 O X(13) = 0 0.65 0 0 0.5 30 25 25 0 13 es 0 2 0 30 O X(13) = 0.65 0 0 . 60 0 0.5 0 25 60 O X(13) = 0.8513 30 25 13 0 2 0 70 O X(13) = 0 0 25 0.65 0 0.5 0 25 13 2 0 60 0 0.65 O X(13) = 0 0 30 25 0 0.5 0 What are sources of funds for a business? Check all that apply: New stock issue New debt issue Internally generateglufunds Dividends proofLemma 7.1.3 (Commutation relation) For each c# 0, FDc = D1/eF; in particular, FD = D-F. 2-1 The term normal performance is often used in place ofstandard performance. Basically, the two terms mean the samething.a) Correct b) Not correct2-2 It is common industrial practice to define standardperformance as a pace that can be readily attained by themajority of workers.a) Correct b) Not correct2-3 The standard method is the procedure that has beendetermined to be the optimummethod for processing a work unit.a) Correct b) Not correct2-4 In all of the work measurement techniques, the normaltime is adjusted by an allowance factor to obtain the standardtime. Allowances are used because there will be periodsduring the regular work shift when the worker is working.a) Correct b) Not correct2-5 The purpose of the allowance factor is to compensate forthis lost time by providing a large increment of "allowancetime" in each cycle. This way, even with the time losses, theoperator will still be able to complete a fair day's work duringthe hours of the shift.a) Correct b) Not correct which cells of the highlighted structure produce pancreatic juices? hepatocytes alpha beta acinar