what is the value of x 16x+24/4=-5(2-3x)

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 2250\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &17 \end{cases}\)

\(2250 = P\left(1+\frac{0.06}{4}\right)^{4\cdot 17} \implies 2250=P(1.015)^{68} \\\\\\ \cfrac{2250}{(1.015)^{68}}=P\implies 817.51\approx P\)

The amount for deposited into account is, $817.5.

We have to given that,

Interest rate = 6%

Final amount = $2250

Time = 17 years

Now, We can use the formula,

\(A = P (1 + \frac{r}{n} )^{n*t}\)

Where, A = Final amount

P = Principal amount

r = Interest rate

n = 4

t = time in years

Here, A = 2250,

r = 6% = 0.06

t = 17 years

Substitute all the values, we get;

\(2250 = P(1 + \frac{0.06}{4} )^{4*17}\)

2250 = P(1 + 0.015)⁶⁸

2250 = P (1.015)⁶⁸

P = 817.5

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Answer:

The z-score for this data point is -1.5

Step-by-step explanation:

Mean = M = 150

Standard Deviation = S = 20

Value = x = 120

We find the z value,

\(z = (x-M)/S\\z = (120 - 150)/20\\z = (-30)/20\\z=-3/2\\z=-1.5\)

Hence the z value is z = -1.5

Answer:

y = x - 2. Notice that option A and B are same.

Step-by-step explanation:

Two points on the given line are (3, 1) and (-2, -4).

Slope = (y2 - y1)/(x2 - x1) = (-4 - 1)/(-2 - 3) = 1

Using y - y1 = m(x - x1) :

=> y - 1 = 1(x - 3)

=> y - 1 = x - 3

=> y = x - 2

The following which represents the measure of ∠WXS is given by angle 60° which is option B.

When two lines meet at a point, they form angles. An "angle" is the measurement of the "opening" between these two rays. The symbol for it is. Angles are typically measured in degrees and radians, which are units of rotation or circularity. Points are a piece of our everyday life. Roads, buildings, and sporting facilities are all designed with angles by engineers and architects. Allow us to more deeply study the meaning of points in Maths, the importance of points, the various properties of points alongside some point models.

At the point when two harmonies of a circle cross one another, the proportion of the upward point framed rises to half of the amount of the captured circular segments, in light of the meeting harmonies hypothesis.

Given the following measures:

m(SW) = 38°

m(WR) = 98°

m(RT) = 180 - m(WR) (semicircle = 180°)

m(RT) = 180 - 98

m(RT) = 82°

m∠WXS = 1/2[m(RT) + m(SW)] (intersecting chords theorem)

m∠WXS = 1/2(82 + 38)

m∠WXS = 60°

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Complete question:

In circle K, diameter TW intersects chord RS at X such that mSW = 38° and mWR 98° . Which of the

following represents the measure of ∠WXS ?

Answer:

l*b*h is the answer of this question

Answer:

60 degrees.

Step-by-step explanation:

We know that we can rotate the image by a total of 360 degrees until we reach the original point again.

To rotate the image to a point where the image looks the same, we need to take a look at how we can do this. We want to line up the image with the gap between the two white semicircles. There are a total of 6 of these gaps:

360/6 = 60 degree rotations will make the image the same.

I hope this helps!

Answer:

440 tigers per year

Step-by-step explanation:

It says that over 5 years the population decreased by 2200, so 2200 divided by 5 would be 440.

Answer:

2200/5 = 440 per year

The equation that represents china growth function  is

P(t) = 1.39 * ( 1.006)ⁿ.

What is a function?

function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable).

The initial population = 1.39 billion in 2013

Growth rate  = 0.6%

Let a be the initial population

Let b be the growth rate

Let n be the elapsed year from 2013

Let the population in nay year be P(t)

Then equation is

P(t) = a * ( b )ⁿ

P(t) = 1.39 * ( 1.006)ⁿ

∴ The equation P(t) represents the growth function of china

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Answer:

it will take her 15 minutes (1/4 hour) to get from F to G

Step-by-step explanation:

distance formula:  d = r * t     Distance = Rate * Time

10 = 40t

t = 10/40 = 1/4 = 14 of 60 minutes; thus, 15 minutes

The measure of angle c is 70 degrees.

If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.

Given:

Measure of angle a = 10x + 10

Measure of angle b = 20

We can set up the equation:

(10x + 10) + 20 = 90

Simplifying the equation:

10x + 30 = 90

Subtracting 30 from both sides:

10x = 60

Dividing both sides by 10:

x = 6

Now, we have found the value of x to be 6.

To find the measure of angle c, we can substitute the value of x into the equation for angle a:

Measure of angle a = 10x + 10

Measure of angle a = 10(6) + 10

Measure of angle a = 60 + 10

Measure of angle a = 70

As a result, angle c has a measure of 70 degrees.

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Answer:

x=5

Step-by-step explanation:

7x+15-9x=5

-2x+15=5

-2x=-10

x=5

Answer:

X = 5

Step-by-step explanation:

First expand, 7x + 15 - 9x = 5

Simplify, -2x + 15 = 5

Additive property of Addition/Subtraction , (-2x + 15) - 15 = (5) -15

Simplify, -2x = -10

Divide by -2, (-2x)/-2 = (-10)/-2

Simplify, x = 5

Substitution for checking your answer, 7(5) + 3(5-3(5)) = 5

35 + (15-45), simplify, 35 - 30 = 5

Thus the final answer can be concluded as X = 5

Answer: Yes as long as one of the two mixed numbers is negative

Step-by-step explanation:

Answer: Yes, the sum of two mixed numbers can be equal to 2 but only of one of the mixed numbers is negative

Step-by-step explanation:

As per the given scenario, a cereal comes in three different package sizes.

The ratio of the cost of an 8-ounce box to a 16-ounce box of cereal can be calculated as follows :Ratio of 8-ounce box to 16-ounce box= 8 : 16Here, the ratio of 8 and 16 can be simplified by dividing both the terms by \(8.8 : 16 = 1 : 2\)

Therefore, the ratio of the cost of an 8-ounce box to a 16-ounce box of cereal is 1 : 2.

Note: The answer should be represented in the simplest form possible.

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Answer:

The answer is 15h You welcome! :)

Answer:

15h

Step-by-step explanation:

Assume a variable in an algebraic expression is equal to 1 if undefined

\(h = 1\)

Remove h from the leading terms, 9h and 5h, for convenience

\(= 5 + 9 = 14\)

Add the isolated h

\(14 + h \\= 14 + 1h\\= 15h\)

Answer:

15 dollars

Step-by-step explanation:

Answer:

15$

Step-by-step explanation:

2.50 * 6

15

The x and y-intercept of the function 2x - 3y = 6 are (3,0) and (0,-2) respectively.

Given the function in the question.

2x - 3y = 6

To determine the x-intercept, replace y with 0 and solve for x.

2x - 3y = 6

2x - 3( 0 ) = 6

2x = 6

2x/2 = 6/2

x = 3

Therefore, the x-intercept is (3,0).

Replace x with 0 and solve for y to determine the y-intercept.

2x - 3y = 6

2(0) - 3y = 6

-3y = 6

-3y / -3 = 6 / -3

y = 6 / -3

y = -2

Therefore, the y-intercept is (0,-2).

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The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).

In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.

A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.

When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.

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Using the Binomial probability distribution,

the probability that sheer guesswork will yield exactly 18 correct answers is ²⁷C₁₈(0.2)¹⁸(0.8)⁹

We have given that,

total number of multiple choice questions= 27

each question has number of possible answer

= 5

but only one is correct .

we have to find out the probability that sheer guesswork will yield 18 correct answer.

P(C) = probability of answering any question correctly = (1 / 5) = 0.2

P(W) = probability of answering any question wrongly = (4/ 5) = 0.8

Using the Binomial probability distribution,

P(X= x) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

Probability of answering exactly 18 questions correctly = P(X=18) = ²⁷C₁₈(0.2)²⁸(0.8)⁹

Hence, the probability value is ²⁷C₁₈(0.2)²⁸(0.8)⁹

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Answer:

c = 14 * t

Step-by-step explanation:

we have to calculate the average to make the equation, the first thing is to calculate the calories burned per minute in the two days:

the first day:

280/20 = 14

second day:

490/35 = 14

that is, how it does not change from day to day, the average is 14 calories per minute, therefore, the equation would be:

c = 14 * t

The equation represents this relationship is \(c = 14 \times t\)

Since Sarah burned 280 calories running 20 minutes. The next day, Sarah burned 490 calories running for 35 minutes. Let c represent the number of calories. Let t represent time, in minutes, spent running.

So, here we need to determine the burned per minute for 2 days

So,

the first day

\(= 280\div 20\)

= 14

And, the second day:

\(= 490\div 35\)

= 14

Therefore, The equation represents this relationship is \(c = 14 \times t\)

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Answer:

y = m x + b      equation of a straight line

m = (y2 - y1) / (x2 - x1)     slope of line

m = (17 - 10) / (-36 - 48) = 7 / -84 = -1 / 12

y = -x / 12 + b     equation of line

Or b = y + x / 12

If y =  10 and x = 48 then    b = 10 + 48 / 4 = 14

if  y = 17 and x = -36 then b = 17 - 36 / 12 = 14

So b = 14 and   y = -x / 12 + 14

The answer is, (1)  the probability of switching from Brand 3 to Brand 1 after 3 months of advertising is 0.1 * 0.1 * 0.1 = 0.001 (or 0.1%)., (2) x = 0.1667 (or 16.67%) ,y = 0.3571 (or 35.71%) ,z = 0.4762 (or 47.62%) , (3) μ33 = 1 / P[3,3] = 1 / 0.8 = 1.25 months. , (4) μ12 = 1 / P[1,2] = 1 / 0.2 = 5 months.

1. To determine the probability of switching from Brand 3 to Brand 1 after 3 months of advertising, we can use the transition matrix.

The probability can be calculated by multiplying the probabilities of transitioning from Brand 3 to Brand 1 over the course of 3 months.

The transition probability from Brand 3 to Brand 1 is 0.1 (P[3,1] = 0.1), and we need to multiply it by itself three times since we want to find the probability after 3 months.

Therefore, the probability of switching from Brand 3 to Brand 1 after 3 months of advertising is 0.1 * 0.1 * 0.1 = 0.001 (or 0.1%).

2. To determine the steady state probabilities, we need to solve the equation P = P * P, where P is the transition matrix and * represents matrix multiplication.

The steady state probabilities are the eigenvector corresponding to the eigenvalue 1.

Let x, y, and z represent the steady state probabilities for Brand 1, Brand 2, and Brand 3, respectively.

We have the following equations:
0.8x + 0.3y + 0.1z = x
0.2x + 0.5y + 0.1z = y
0.2y + 0.8z = z

Simplifying the equations, we get:
0.8x + 0.3y + 0.1z - x = 0
0.2x + 0.5y + 0.1z - y = 0
-0.2y + 0.8z - z = 0

Solving these equations, we find that the steady state probabilities are:
x = 0.1667 (or 16.67%)
y = 0.3571 (or 35.71%)
z = 0.4762 (or 47.62%)

3. The average number of months it takes a customer to return to Brand 3 can be found by calculating the expected number of transitions from Brand 3 to Brand 3.

This is represented by the element μ33 in the transition matrix.

In the given transition matrix, P[3,3] represents the probability of staying with Brand 3 after one month.

Therefore, μ33 = 1 / P[3,3] = 1 / 0.8 = 1.25 months.

4. To determine the average number of months it takes to switch from Brand 1 to Brand 2, we need to calculate the expected number of transitions from Brand 1 to Brand 2.

This is represented by the element μ12 in the transition matrix.

In the given transition matrix, P[1,2] represents the probability of switching from Brand 1 to Brand 2 after one month. Therefore, μ12 = 1 / P[1,2] = 1 / 0.2 = 5 months.

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Q1. "All contracts are agreements but all agreements are not contracts" means that every contract is formed through an agreement between parties, but not every agreement meets the necessary legal requirements to be considered a contract.

An agreement is a mutual understanding between two or more parties regarding a specific matter, while a contract is a legally enforceable agreement. For a valid contract, certain elements such as offer, acceptance, consideration, and intention to create legal relations must be present. Therefore, while all contracts are based on agreements, not all agreements fulfill the legal criteria to be classified as contracts.

Q2.

a. Offer: An offer is a proposal made by one party (the offeror) to another party (the offeree) indicating a willingness to enter into a legally binding agreement on specific terms. It represents the intention of the offeror to be bound by those terms if the offeree accepts the offer.

b. Consensus ad idem: Consensus ad idem, also known as "meeting of minds," refers to the mutual agreement or understanding between parties on the same subject matter and terms of a contract. It implies that all parties involved have a clear and common understanding of the essential terms and intend to enter into a contract based on those terms.

c. Quid pro quo: Quid pro quo is a Latin phrase meaning "something for something." It refers to the exchange of something valuable or consideration between the parties involved in a contract. Both parties must provide something of value or benefit to each other, creating a mutual obligation or reciprocal arrangement.

Q3. Consent is said to be free when it is given voluntarily and without any form of coercion, undue influence, misrepresentation, or fraud. In the context of contract law, free consent means that the parties involved have entered into the agreement willingly, with a clear understanding of the terms, and without any external factors influencing their decision. When consent is free, it reflects the true intention of the parties to be legally bound by the terms of the contract. Any factor that affects the freedom of consent can render a contract voidable or unenforceable. Examples of factors that may impede free consent include threats, deception, duress, undue influence, mistake, or misrepresentation.

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When you are given a golf ball at random and there are multiple colours, there is a 0.27 percent chance that it will be red.

A mathematics field called probability theory assesses the likelihood that an event will occur that a statement is true. A probability is a value between 0 and 1 and 1, where 1 denotes certainty and about 0 denotes how frequently an event is to occur. This same possibility or chances that a specific event will occur is indicates that self as a probability. Probabilities can be expressed as a percentage from 0% to 100% or as numbers between 0 and 1. the proportion of incidents among all equally plausible alternatives that lead to a certain occurrence relative to all likely choices.

given

sum of all the balls = 23 + 24 + 18 + 22 = 87

probability it ends with red golf balls = 24/87

≈ 0.27

When you are given a golf ball at random and there are multiple colours, there is a 0.27 percent chance that it will be red.

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Answer: the answer is either the first one or the third not exactly sure

Step-by-step explanation:

Answer:

AU9NJ-BLVHV-TCLJS-54YTB

To find the inverse Laplace transform of ℒ{e^(-s) / [s(s + 1)]}, we can use partial fraction decomposition and known Laplace transforms.

First, let's express the given function in partial fraction form:

e^(-s) / [s(s + 1)] = A/s + B/(s + 1)

To find A and B, we multiply both sides by s(s + 1) and then substitute appropriate values of s to simplify and solve for the coefficients:

e^(-s) = A(s + 1) + Bs

Setting s = 0, we get:

1 = A(0 + 1)

A = 1

Setting s = -1, we get:

e = B(-1)

B = -e

Therefore, the partial fraction decomposition is:

e^(-s) / [s(s + 1)] = 1/s - e/(s + 1)

Now, we can use the known Laplace transforms to find the inverse transform:

ℒ^(-1){1/s} = 1

ℒ^(-1){-e/(s + 1)} = -e^(-t)

Finally, we combine the inverse transforms:

f(t) = ℒ^(-1){e^(-s) / [s(s + 1)]} = ℒ^(-1){1/s} - ℒ^(-1){e/(s + 1)} = 1 - e^(-t)

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Answer:

4x-12

Step-by-step explanation:

original------------------------ 4(x-3)

Distribute--------------------- (4 x X) -  (4 x 3)

After Distrinuting----------4x-12

Hope this helps :P

The solution set of the given equation is x = 8.39 or x = -12.39

\( \frac{1}{4} {{(x + 2} )}^{2} = 27\)

cross product

\( {1} {{(x + 2}^{} )}^{2} = 27 \times 4\)

(x + 2²) = 108

find the square root of both sides

\( \sqrt{ ({x + 2)}^{2} } = ± \sqrt{108}\)

x + 2 = ± 10.39

So,

x = 10.39 - 2 or x = -10.39 - 2

x = 8.39 or x = -12.39

Therefore, the equation has a solution set of x = 8.39 or x = -12.39

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Answer:

<5 = 30

<6 = 60

<BFD = 120

Step-by-step explanation: