CRE Question:
The existence of pore resistance can be determined by
a).Comparing rates for different pellet sizes.
b).Nothing the drop in activation energy of the reaction with rise in temperature, coupled with a possible change in reaction order
Pick the correct Statement
A
B
Both a and b are correct
None

The end behavior of the function is f(x) → -∞, as x→ -∞ and f(x) → -∞, as x→ +∞.

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

For extremely big or very tiny values, the leading coefficient is more important than the other function coefficients. Therefore, it is sufficient to forecast the function's final behavior based on the sign of the leading coefficient.

The given function is -x⁴ -x³ +3x² +2x +6

The degree of the given function is even and the leading coefficient is negative. So,

End behavior is given by

f(x) → -∞, as x→ -∞

f(x) → -∞, as x→ +∞

The graph looks as follows:

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In order to solve for the variable in the equation

We want to apply the distributive property to the given expression.

1 - x - 2 + 2x = 10x - 25 - x is the result of this step.

Let's see how to solve this:

Remember that the distributive property says that:

A*(B + C) = A*B + A*C.

Here we have the expression:

1 - (x + 2) + 2x = 5*(2x - 5) - x

We can apply the distributive property to the first term in the right side, we will get:

1 - (x + 2) + 2x = 5*(2x - 5) - x

1 - (x + 2) + 2x = 5*2x - 5*5 - x

1 - (x + 2) + 2x = 10x - 25 - x

Now we can also apply the distribute property to the second term in the left side:

1 - (x + 2) + 2x = 10x - 25 - x

1 - x - 2 + 2x = 10x - 25 - x

Hence the answer is, 1 - x - 2 + 2x = 10x - 25 - x is the result of this step.

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The solution to the linear programming problem 0.3x₁ + 0.1x₂ ≤ 1.8 using the simplex method shows that the problem has optimal solutions.)

Convert the inequality into an equation by subtracting 1.8 from both sides:
0.3x₁ + 0.1x₂ - 1.8 ≤ 0

Introduce slack variables to convert the inequality into an equation:
0.3x₁ + 0.1x₂ + s₁ = 1.8

Set up the initial simplex tableau:

┌───┬───┬───┬───┬───┐
│   │ x₁ │ x₂ │ s₁ │  1│
├───┼───┼───┼───┼───┤
│  1│ 0.3│ 0.1│  1  │1.8│
└───┴───┴───┴───┴───┘
```

Select the pivot column. Choose the column with the most negative coefficient in the bottom row. In this case, it is the second column (x₂).

Select the pivot row. Divide the numbers in the rightmost column (1.8) by the corresponding numbers in the pivot column (0.1) and choose the smallest positive ratio. In this case, the smallest positive ratio is 1.8/0.1 = 18. So the pivot row is the first row.


The simplex method is an iterative procedure that systematically improves the solution to a linear programming problem. It starts with an initial feasible solution and continues to find a better feasible solution until an optimal solution is obtained. In each iteration, the simplex method selects a pivot column and a pivot row to perform row operations, which transform the current tableau into a new tableau with improved objective function values. The process continues until the objective function values cannot be further improved or the linear programming problem is unbounded.

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The correct answer is

0.3x1+0.1x2≤2.7→0.3x1+0.1x2≤1.8 Work Through The Simplex Method Step By Step. How The Solution Changes (I.E., LP Has Optimal

Using the Central Limit Theorem, the state that the sample mean would most likely be within $80 of $2,600 is given by:

c. Equally likely because σ = $800 for both states.

It states that the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

In this problem, we have that for both states, \(\sigma = 800, n = 100\), hence they have the same standard error, being equally as likely to be within $80 of $2,600, meaning that option C is correct.

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Answer:

To convert a base-10 pure fraction to a base-n pure fraction (where n is a decimal integer greater than or equal to 2), we use the multiplication method. Here are the conversions for 0.610595703125D to base-2, base-8, and base-16:
1. Conversion to Base-2:
To convert 0.610595703125D to base-2, we need to repeatedly multiply the fractional part by 2, taking the integer part at each step. We stop when the fractional part becomes 0 or when we have obtained the required number of digits after the decimal point.
0.610595703125D * 2 = 1.22119140625D → 1
0.22119140625D * 2 = 0.4423828125D → 0
0.4423828125D * 2 = 0.884765625D → 0
0.884765625D * 2 = 1.76953125D → 1
0.76953125D * 2 = 1.5390625D → 1
0.5390625D * 2 = 1.078125D → 1
0.078125D * 2 = 0.15625D → 0
0.15625D * 2 = 0.3125D → 0
0.3125D * 2 = 0.625D → 0
0.625D * 2 = 1.25D → 1
0.25D * 2 = 0.5D → 0
0.5D * 2 = 1D → 1
Therefore, 0.610595703125D in base-2 is 0.100111000101B.
2. Conversion to Base-8:
To convert 0.610595703125D to base-8, we need to repeatedly multiply the fractional part by 8, taking the integer part at each step. We stop when the fractional part becomes 0 or when we have obtained the required number of digits after the decimal point.
0.610595703125D * 8 = 4.884765625D → 4
0.884765625D * 8 = 7.078125D → 7
0.078125D * 8 = 0.625D → 0
0.625D * 8 = 5D → 5
0D * 8 = 0D → 0
0D * 8 = 0D → 0
0D * 8 = 0D → 0
0D * 8 = 0D → 0
Therefore, 0.610595703125D in base-8 is 0.4715162O.
3. Conversion to Base-16:
To convert 0.610595703125D to base-16, we need to repeatedly multiply the fractional part by 16, taking the integer part at each step. We stop when the fractional part becomes 0 or when we have obtained the required number of digits after the decimal point.
0.610595703125D * 16 = 9.76953125D → 9
0.76953125D * 16 = 12.3125D → C
0.3125D * 16 = 5D → 5
0D * 16 = 0D → 0
0D * 16 = 0D → 0
0D * 16 = 0D → 0
0D * 16 = 0D → 0
0D * 16 = 0D → 0
Therefore, 0.610595703125D in base-16 is 0.9C5.

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The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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Using Rank theorem , the dimensions of col A and Null A add up to the number of colmns in A. It is true statement.

The rank of matrix A denoted as rank(A) is the dimension of the column space Col(A).

The nullity of matrix A written as nullity(A) is the dimension of the null space Nul(A)

Rank Theorem:

If A is a matrix with n columns, then

Rank (A) + nullity (A) = n

In other words we can say that

dim (Col(A) ) in column space + dim (Nul(A)) in empty space = total number of columns in A

The rank theorem is really important theorem.

It is gives a strong relationship between the Null space ( all possible vector x such that Ax = 0) and the column space (the set of vectors b matching Ax=b) explain the two main objectives. The more freedom we have for choosing x, the less freedom we have for choosing b, and vice versa.

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Answer:

triangle OPM, by SSA

Step-by-step explanation:

simply name the other triangle, then we know that MO is congruent to itself, so we have two congruent sides and one angle. therefore, it is SSA.

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The initial population of the bacteria culture is 200 bacteria.

The initial population of the bacteria culture can be determined using the equation for exponential growth: P(t)=P0(1+rt), where P(t) is the population after time t, P0 is the initial population, and r is the relative growth rate.

In this case, after 2 hours, the population is 600 and after 8 hours the population is 75,000. Plugging in the values, we get P0 = 600/(1+2*r), or P0 = 600/3. Thus, the initial population of the bacteria culture is 600/3 = 200 bacteria.

Exponential growth is a function of time and rate of growth. It is often used to model population growth or decay, such as in this case. The equation for exponential growth states that the population at any time is equal to the initial population multiplied by the rate of growth at each unit of time.

In this case, the rate of growth (r) is constant over the time period, so the population can be determined by putting in the values for P(t) and P0 and solving for r. Then, using the same equation, the initial population (P0) can be determined.

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it requires a detailed analysis of multiple transactions and the preparation of journal entries. This type of task is better suited for an accounting professional who can thoroughly review the provided information and accurately apply the relevant accounting principles.

However, I can provide a general overview of the journal entries that may be required based on the information given:

January 1, 2020:

Debit: Investment in Kinman Company (40% of cash paid)

Credit: Cash (Amount paid for the acquisition)

Recording Equity in Earnings for 2020:

Debit: Investment in Kinman Company (40% of net loss)

Debit: Investment in Kinman Company (40% of other comprehensive loss)

Credit: Equity in Earnings of Kinman Company

December 31, 2020:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

January 1, 2021:

Debit: Investment in Kinman Company (40% of additional investment)

Credit: Cash

Recording Equity in Earnings for 2021:

Debit: Investment in Kinman Company (40% of net income)

Credit: Equity in Earnings of Kinman Company

December 31, 2021:

Debit: Investment in Kinman Company (40% of dividend received)

Credit: Dividend Income

Please note that the above entries are a general guideline and may not capture all the necessary transactions. It is advisable to consult with an accounting professional or refer to the specific accounting standards applicable in your jurisdiction for a more accurate and comprehensive answer.

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\(x^y^z\)   , \(|x|\)  are the output of 1st 2 question and for the second question

the final computation SquareRoot(RaiseToPower(x*y, z)) is doing this:

\(\sqrt{(xy)^z}\)

float x , float y , float z

x = Get new line of  input

y = Get new line of  input

z = Get new line of  input

Place RaiseToPower(x, y) in the output.

Place RaiseToPower(x, RaiseToPower(y, z)) to get output

Put abs(x) to output

where abs(x) is absolute value of x

Place SquareRoot(RaiseToPower(x*y, z)) to get disired output

The very first three lines of code simply declare the float type (a number with decimal points) data type of the x, y, and z variables.

After the initial three lines, the user's input is asked in the following three lines.

Coral's Put instruction is used to output an expression for display on the console.

I'm using Coral's built-in RaiseToPower math function to instruct the interpreter to output the value of x raised to the power of y to the console for the initial Put command.

Although the subsequent calculation RaiseToPower(x, RaiseToPower(y, z)) appears to be nested, it actually performs this: \(x^y^z\)

The next computation is AbsoluteValue(x) is doing this \(|x|\)

And the final computation SquareRoot(RaiseToPower(x*y, z)) is doing this:

\(\sqrt{(xy)^z}\)

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Answer: 12 for both

Step-by-step explanation: 13 - 1 12 thats the current well if the current is 12 then sit still and your going 12 mph

a) The probability that a battery does not reach the milestone in its first 8 hours of usage is 0.014 or 1.4%. b)  The probability of this goal being met is 0.002 or 0.2%. c) The smallest value of n that satisfies P(X >= 10) > 0.01 is n = 13.

(a) To calculate the probability that a battery does not reach the milestone in its first 8 hours of usage, we need to calculate the area under the normal curve to the right of 8 hours. We can use the standard normal distribution to do this by first standardizing the value of 8 hours using the formula:

z = (x - mu) / sigma

where x is the value of 8 hours, mu is the mean of the distribution (7.36 hours), and sigma is the standard deviation (0.29 hours). Substituting these values, we get:

z = (8 - 7.36) / 0.29 = 2.21

Using a standard normal table or a calculator, we can find that the area to the right of z = 2.21 is approximately 0.014.

(b) We want to find the probability that at least 10 batteries out of a pack of 12 last until 7.5 hours of usage. This is a binomial distribution with n = 12 and p = the probability that a single battery lasts until 7.5 hours.

To find p, we can use the standard normal distribution again by standardizing the value of 7.5 hours:

z = (7.5 - 7.36) / 0.29 = 0.48

Using a standard normal table or a calculator, we can find that the area to the right of z = 0.48 is approximately 0.316. Therefore, the probability that a single battery lasts until 7.5 hours is 0.316.

Now we can use the binomial distribution formula to calculate the probability that at least 10 batteries out of 12 last until 7.5 hours:

P(X >= 10) = 1 - P(X < 10)

where X is the number of batteries that last until 7.5 hours, and P(X < 10) is the cumulative probability of 9 or fewer batteries lasting until 7.5 hours. Using a binomial calculator or a standard normal table, we can find that:

P(X < 10) = 0.998

Therefore, P(X >= 10) = 1 - 0.998 = 0.002 or 0.2%.

(c) We want to find the smallest value of n such that the probability of at least 10 batteries out of n lasting until 7.5 hours is greater than 1%. This is equivalent to finding the smallest n such that:

P(X >= 10) > 0.01

Using a binomial calculator or a standard normal table, we can find that:

P(X < 10) = 0.989 when n = 10

P(X < 10) = 0.970 when n = 11

P(X < 10) = 0.942 when n = 12

Therefore, the smallest value of n that satisfies P(X >= 10) > 0.01 is n = 13.

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Your question is incomplete, but probably the complete question is :

Suppose that a brand of AA batteries reaches a significant milestone to their death on average after 7.36 hours, with standard deviation of 0.29 hours. Assume that when this milestone occurs follows a normal distribution.

(a) Calculate the probability that a battery does not reach this milestone in its first 8 hours of usage.

(b) Suppose that the company wants to sell a pack of n batteries of which (at least) 10 will last until 7.5 hours of usage. If n 12, what is the probability of this goal being met?

(c) How many batteries n should be in the package in order for the probability to exceed 1%? Give the smallest number n which works.

Answer:

50 grams

Step-by-step explanation:

36 grams = 72%

→ Find 1% by dividing both sides by 72

0.5 grams = 1%

→ Times both sides by 100 to find 100%

50 grams = 100%

Step-by-step explanation:

Multiply 32 by 72 to get thw mass.

Refer to the attachment

Option A is correct

Answer:

See Below.

Step-by-step explanation:

We are given the two functions:

\(\displaystyle f(x) = x^2 + 5x \text{ and } g(x) = 4x - 7\)

9)

We want to find:

\(f(x) + g(x)\)

Substitute:

\(\displaystyle = (x^2 + 5x) + (4x - 7)\)

And combine like terms. Hence:

\(f(x) + g(x) = x^2 + 9x - 7\)

10)

We want to find:

\(f(x) - g(x)\)

Substitute:

\(= (x^2 + 5x) - (4x - 7)\)

Distribute:

\(= (x^2 + 5x) + (-4x +7)\)

And combine like terms. Hence:

\(f(x) - g(x) = x^2 +x +7\)

11)

We want to find:

\(\displaystyle f(x) \cdot g(x)\)

Substitute:

\(\displaystyle = (x^2 + 5x)(4x-7)\)

Expand:

\(\displaystyle = 4x(x^2 + 5x) - 7(x^2 + 5x) \\ \\ = (4x^3 + 20x^2) + (-7x^2 -35x) \\ \\ = 4x^3 + 13x^2 - 35x\)

Hence:

\(\displaystyle f(x) \cdot g(x) = 4x^3 + 13x^2 - 35x\)

12)

We want to find:

\(g(x) - f(x)\)

Substitute:

\(= (4x -7) - (x^2 + 5x)\)

Distribute:

\(= (4x-7) + (-x^2 - 5x)\)

And combine like terms. Hence:

\(\displaystyle g(x) - f(x) = -x^2 -x -7\)

Answer:

slope=2/3

Step-by-step explanation:

form is y=mx+b where m is the slope.

Answer: -22

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

m = 1

n = -3 (2) = -6

Given expression

2m - 4n (3m - 4)

Substitute values into the expression

=2(1) - 4(-6) (3(1) - 4)

Simplify by multiplication

=2 + 24 (3 - 4)

Simplify values in the parentheses

=2 + 24 (-1)

Simplify by multiplication

=2 - 24

Simplify by subtraction

=\(\boxed{-22}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

c = 2

Step-by-step explanation:

Since the polynomial has a zero at x = \(\frac{1}{4}\) , then p(\(\frac{1}{4}\) ) = 0, then

p(\(\frac{1}{4}\) )

- \(\frac{1}{4}\) + 4(\(\frac{1}{4}\) )² + c(\(\frac{1}{4}\) )³ - 8\((\frac{1}{4}) ^{4}\) = 0

- \(\frac{1}{4}\) + 4(\(\frac{1}{16}\) ) + c(\(\frac{1}{64}\) ) - 8(\(\frac{1}{256}\) ) = 0

- \(\frac{1}{4}\) + \(\frac{1}{4}\) + \(\frac{c}{64}\) - \(\frac{1}{32}\) = 0 , simplifying gives

\(\frac{c}{64}\) - \(\frac{1}{32}\) = 0 ( add \(\frac{1}{32}\) to both sides )

\(\frac{c}{64}\) = \(\frac{1}{32}\) ( multiply both sides by 64 )

c = 2

Step-by-step explanation:

Q12.

I checked immediately : 33 m, 44 m and 55 m create a right-angled triangle, as they satisfy the Pythagoras rule :

c ² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle) and longer than the legs, and a and b being the legs of the triangle.

55² = 33² + 44²

3025 = 1089 + 1936 = 3025

correct.

the area of a triangle is

baseline × height / 2

in case of a right-angled triangle we can use the right angle situation, the legs are acting as baseline and height (due to the 90° angle between them).

and so the area of the triangle here is

A = 33×44/2 = 33×22 = 726 m²

as 1 m² costs 1.20 per m², we have a total costs

1.20 × 726 = 871.2

for the second part of the question :

again the area of a triangle is

baseline × height / 2

baseline is tripled and height is doubled.

that means compared to the original sizes the are is now ;

(baseline × 3) × (height × 2) / 2 =

= 3×2 × baseline × height / 2 = 6 × baseline × height / 2

the area of the new triangle is their 6 time the area of the original triangle.

Q16

5th root of (243a¹⁰b⁵c¹⁰)

remember, when we have exponent of exponent, we multiply the exponents. and an nth root is nothing else than the exponent 1/n.

and the higher level exponent has to be applied to all factors of the lower level exponent.

so, we have

243^(1/5) × a^(10 × 1/5) × b^(5 × 1/5) × c^(10 × 1/5) =

3 × a² × b¹ × c² = 3a²bc²

Q19.

it is a right-angled triangle, and it is isoceles. that means both legs (they contain between themselves the 90° angle) are equally long.

the area is again

baseline × height / 2.

and again, the legs are acting as baseline and height.

so,

8 = leg × leg / 2 = leg²/2

leg² = 16

leg = 4 cm

both legs are 4 cm.

now we use Pythagoras to get the missing side (Hypotenuse) :

Hypotenuse² = leg² + leg² = 16 + 16 = 32 = 2×16

Hypotenuse = sqrt(2×16) = 4×sqrt(2) cm

for the second part of the question :

this means

one leg of the triangle is 8 cm. for the Hypotenuse we have 10 cm.

now we can apply Pythagoras again :

10² = 8² + leg²

100 = 64 + leg²

36 = leg²

leg = 6 cm

so its area is

A = 6 × 8 / 2 = 6 × 4 = 24 cm²

Answer:

Step-by-step explanation:

24. you can divide the numerator and denominator by that number to reduce it

28. 4 quarts in a galloon so 25% so she would need to by 4 containers of milk

Answer:

Step-by-step explanation:

Given data:

Circumference of the base of the cone = 24in.

Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in

Surface area l = pie x radius ( slant height + radius)

= 3.142 x 6 (20 + 6)

= 3.142 x 6 (26)

= 3.142 x 156

= 490.152in^2

Answer:

384pi inches   hop it halp!!!

Step-by-step explanation:

Answer:

60°, 60°, and 60° is the set of interior angles of triangle.

Step-by-step explanation:

Given:

Set of interior angles

Find:

Set of interior angles of triangle

Computation:

We know that, sum of  interior angles of triangle is 180°

So,

90° + 42° + 58° = 190°

60° + 60° + 60° = 180°

100° + 48° + 42° = 190°

31° + 75° + 70° = 176°

So,

60°, 60°, and 60° is the set of interior angles of triangle.

Answer:

60°, 60°, and 60°

Step-by-step explanation: I took the quiz

The integration of the given equation will be [(1/2) i√3 + 2 log (1 + 3i)].

Integration is a way of finding the total by adding or summing the components. It's a reversal of differentiation, in which we break down functions into pieces. This approach is used to calculate the total on a large scale.

The integration equation is given below.

\(\begin{aligned} \rm I = \int _1^2 \sqrt{x^2 - 4} \ dx \end{aligned}\)

We know that the formula is given as,

∫√(x² - a²) dx = (x/2)√(x² - a²) + (a² / 2) log [x + √(x² - a²)]

Then by the integration, we can write it as,

\(\begin{aligned} \rm I &= \int _1^2 \sqrt{x^2 - 4} \ dx \\\rm I &= \int _1^2 \sqrt{x^2 - 2^2} \dx\\\rm I &= \left [ \dfrac{x}{2}\sqrt{x^2-2^2} + \dfrac{2^2}{2} \log (x + \sqrt{x^2 - 2^2}) \right ]^2_1\\\end{aligned}\)

Simplify the equation further, then we have

I = [(1/2) i√3 + 2 log (1 + 3i)]

The integration of the given equation will be [(1/2) i√3 + 2 log (1 + 3i)].

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The money that Adrian would  have to pay for parking if he left his car in the lot for 3 hours is $13  and ther amount that Adrian has to pay if he left his car in the lot for t hours is $(2t + 7)

We are given;

Fee for entering the Parking Lot = $7

Fee for one hour of parking = $2

Thus;

Fee for three hours of parking = 2 * 3 = $6

Total fee if he parks his car for 3 hours = $7 + $6

Total fee if he parks his car for 3 hours = $13

Total fee if she left the car for t hours = $(2t + 7)

Finally we conclude that the money that Adrian would  have to pay for parking if he left his car in the lot for 3 hours is $13  and ther amount that Adrian has to pay if he left his car in the lot for t hours is $(2t + 7)

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This equation x + (x + 1) + (x + 2) = negative 21 will be used.

Let the first Number is x.

We have to take 3 consecutive integers.

second Number is x+1

third Number is x+2.

Sum of these 3 consecutive integers is x+(x+1)+(x+2).

Sum of these 3 consecutive integers is given as negative21.

so we can write  x+(x+1)+(x+2)=negative 21.

by using above equation we can find the value of 3 numbers.

So the final equation will be x + (x + 1) + (x + 2) = negative 21.

Given Question is incomplete, Complete Question here:

Three consecutive integers have a sum of –21. Which equation can be used to find the value of the three numbers? x + x + x = negative 21 x + 2 x + 3 x = negative 21 x + (x + 1) + (x + 2) = negative 21 x + (x + 2) + (x + 4) = negative 21

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Probability means Possibility. It states how likely an event is about to happen. The probability of an event can exist only between 0 and 1 where 0 indicates that event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty.

I'll take a stab at this one. if the number of dice showing a two-digit number  = the number of dice showing a one-digit number, then  2 must show a two-digit number and 2  must show a one-digit number

There are 3 two-digit numbers and 9 one-digit numbers on each die

So....the probability is

C(4,2) (3/12)^2 (9/12)^2    =  

C(4,2) (1/4)^2 (3/4)^2  =

27/128.

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The Deposit Fees 15% VAT amount on goods sold at a VAT-inclusive price of R1,500 would be approximately R195.65.

To answer the questions using the provided information, we'll refer to TABLE 2 for the deposit fees.1.2.1 The minimum amount one will pay when making a deposit of notes and coins:

Notes: R2.25 per R100 or part thereof

Coins: R5 per R100 or part thereof

Therefore, the minimum amount one will pay depends on the value of the deposit. For notes, it will be R2.25 per R100 or part thereof, and for coins, it will be R5 per R100 or part thereof.

1.2.2 To determine if Mr Mbhalati's statement is valid, let's calculate the deposit fees for his deposit of notes and coins.

Deposit of notes:

Deposit amount: R1,500

Deposit fee for notes: R2.25 per R100 or part thereof

Calculation:

Deposit fee = (Deposit amount / 100) * Deposit fee per R100

= (1500 / 100) * 2.25

= 33.75

Deposit of coins:

Deposit amount: R500

Deposit fee for coins: R5 per R100 or part thereof

Calculation:

Deposit fee = (Deposit amount / 100) * Deposit fee per R100

= (500 / 100) * 5

= 25

Total deposit fee = Deposit fee for notes + Deposit fee for coins

= 33.75 + 25

= 58.75

Therefore, Mr Mbhalati's statement is not valid. The total deposit fee for his deposit of notes to the value of R1,500 and R500 in coins would be R58.75, not R180.

1.2.3 To calculate the 15% VAT on the amount of goods sold at a VAT-inclusive price:

Amount from the sale of goods: R1,500

Calculation:

VAT amount = (Amount from the sale of goods / (100 + VAT rate)) * VAT rate

= (1500 / (100 + 15)) * 15

= (1500 / 115) * 15

≈ 195.65

Therefore, the Deposit Fees 15% VAT amount on goods sold at a VAT-inclusive price of R1,500 would be approximately R195.65.

1.2.4 One method Mr Mbhalati can use to send money to a person who does not have a bank account is by using a money transfer service like Western Union or MoneyGram. These services allow individuals to send money to recipients who can collect it in cash from designated locations, even if they don't have a bank account.

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Answer: 42 I think

Step-by-step explanation:

I did 6 times 7

We know that, the trigonometric relationship -

sin(x) = C.O/ h

where,

C.O = opposite leg

h = hypotenuse

using these values in the equation we have -

sin(20) = 5/c

c = 5/sin(20)

c = 14.61

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Disclaimer : The diagram for the question is attached.