help ASAP ill give brainliest

Help ASAP Ill Give Brainliest

Answers

Answer 1

Answer:

9 students is the correct answer :(


Related Questions

Which function is graphed?

Answers

Answer: it’s B or C

Step-by-step explanation

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:

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

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


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 :)

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

I need help plz I’ll appreciated

Answers

Answer:

y = x -3

Step-by-step explanation:

Father's age is five times than the son's age. If the sum
of their ages is 60 years, find their present ages. ​

Answers

Answer:

The son is 10, and the father is 50.

Step-by-step explanation:

10 times 5 would be 50, and 50+10 is 60.

Answer:

Father: 50

Son: 10

Step-by-step explanation:

Son's age: S

Father's age: F

F=5S

F+S=60.

Substitute.

5S+S=60

6S=60

S=10

F=50. As a check, 10+50=60 and 50/5=10.

Hope this was helpful.

~cloud

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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***WILL BE MARKED BRAINLIEST***​

Answers

Answer:

a

Step-by-step explanation:

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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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.

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:

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

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.

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]

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

Answers

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

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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please help


A tennis club has 15 members: eight women and seven men. How many different teams may be formed consisting of one woman and one man on each team? ​

Answers

Answer:

12870ways

Step-by-step explanation:

Combination has to do with selection

Total members in a tennis club = 15

number of men = 8

number of women = 7

Number of team consisting of women will be expressed as 15C7

15C7 = 15!/(15-7)!7!

15C7 = 15!/8!7!

15C7 = 15*14*13*12*11*10*9*8!/8!7!

15C7 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C7  = 15*14*13*12*11/56

15C7 = 6,435 ways

Number of team consisting of men will be expressed as 15C8

15C8 = 15!/8!7!

15C8 = 15*14*13*12*11*10*9*8!/8!7!

15C8 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C8 = 6,435 ways

Adding both

Total ways = 6,435 ways + 6,435 ways

Total ways = 12870ways

Hence the required number of ways is 12870ways

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.

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

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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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

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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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

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)

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.

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

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...

Help! Will give brainliest and 10 points!

Answers

Answer:

its b

Step-by-step explanation:

trust me

Other Questions
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What will be the engineer's salary be after 10 years? Which of the following were discovered since the reclassification of protists? Select all that apply.a. Pneumocystis carinii, a major cause of pneumonia in HIV-infected humans, is actually a fungus.b. The organism responsible for the Irish potato famine is, in fact, not a fungus.c. All protists are prokaryotes.d. Many protists have signatures of ancient endosymbiosis, including the remains of chloroplasts and mitochondria.e. All protists are very similar to one another, which is why they are grouped into the kingdom Protista. Selected unadjusted account balances at December 31, 2020, are shown below for Demron Servicing.AccountDebitCreditAccounts receivable$68,000Allowance for doubtful accounts$1,100Sales (all on credit)482,000Sales discounts12,000Required:a. Demron estimates that 4% of net credit sales will prove to be uncollectible. Prepare the adjusting entry required on December 31, 2020, to estimate uncollectible receivables. Suppose we want to find how popular a bill is in a medium-sized city of 500,000. Of course, its not really possible to sample all of these people it would be very expensive and time consuming.Define a sampling method that you would use to guess the popularity of this bill. How many people would you sample this population? Would you travel door to door, or would you send out a form via mail? How would you design your sampling method, so that it is not biased?Once you have designed your sample, define the parameter of this study and the sampling error. The Quality Control Handbook was published by: Deming Crosby Juran, Feigenbaum The Following are objectives of Quality Plan except Ensure quality is planned Define process capability Define quality as based on the results of the riba test, what is the probable cause of teds disease? You are the manager of firm Equis. Firm Zeta is your main competitor. You have the following information about your firm: price elasticity of demand is-1.25 income elasticity is 0.43, and cross-price elasticity between your firm and firm Zeta is 1.22. One of your subordinates approaches you with the proposal of temporarily lowering the price of your product in an effort to increase sales revenue. Which of the following statements is true? OA. Firm Equis sells a luxury good. OB. Firm Equis sells an inferior good. O C. If your goal is to increase sales revenue, you should not follow this recommendation D. If your goal is to increase sales revenue, you should follow this recommendation. OE. None of the above lection Company XYZ has 37 employees in the Finance Department. 41 technicians, and 29 in the Engineering Department. HR received 15 complaints from the whole company. There were 5 complaints from the engineers and 7 from the Finance Department. There were completed projects in the Engineering Department and 10 by the technicians. What is the relevant information for the percent of projects completed by the engineers? Select the correct answer below. O Company XYZ has 37 employees in the Finance Department 5 O Company XYZ has 41 technicians. O Company XYZ has 29 in the Engineering Department There were 7 completed projects in the Engineering Department. 33.Which of the following is NOT an example ofa behaviour consistent with adopting sustainability practices?a.Providing financial assistance to community groups.b.Investment in the development of p Discuss the following :ElGamal, give a worked example including key generation,encryption and decryption. Ammonium nitrate dissolves spontaneously and endothermicaly in water at room temperature. What can be deduced about the sign of AS for this solution process? A) S=0 B) S 0 Proving divisibility results by induction. Prove each of the following statements using mathematical induction. (b) Prove that for any positive integer n,6 evenly divides 7^n 1. (c) Prove that for any positive integer n,4 evenly divides 11^n7^n(e) Prove that for any positive integer n,2 evenly divides n^25n+2. Read the following excerpt from a speech:My fellow citizens: Young Roxanne Jones stands heretoday for the many victims of industrial pollution whocannot. She has fought a long, hard recovery aftersuffering serious illness due to the inaction andirresponsibility of companies like Trevose Inc. Because thelaw allows companies like Trevose exceptions to thecurrently allowed pollution levels, more children likeRoxanne will be poisoned unless we fix these loopholes.Which is the most logical connection between Roxanne Jones and thecampaign to change the law?OA. She is an exception to most mainstream thinking about the law.OB. She demonstrates the complicated circumstances surroundingthe law.O C. She is the primary reason people want to change the law.O D. She is symbolic of a class of victims hurt by the current law.