Write the equation 3x+2y=8 in general form

Answers:

x = 8

y = 15*sqrt(2)

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Explanation:

This is a 45-45-90 triangle. The right triangle is isosceles.

This means the two legs 3x-9 and x+7 are the same length

3x-9 = x+7

3x-x = 7+9

2x = 16

x = 16/2

x = 8

If x = 8, then each leg is...

3x-9 = 3(8)-9 = 24-9 = 15

x+7 = 8+7 = 15

Each leg is 15 units long to help confirm we have the correct x value.

---------------

The hypotenuse y is exactly sqrt(2) times that of the leg length.

Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.

15*sqrt(2) = 21.213 approximately

Answer:

B

Step-by-step explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

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Answer:

3500 - 10% = 3150 rupees

Step-by-step explanation:

the customer will pay 3150 rupees

Therefore, the three consecutive odd integers are 17, 19, and 21.

An equation is a statement that shows the equality of two expressions, typically separated by an equal sign. An equation can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. The goal of solving an equation is to find the value(s) of the variable(s) that satisfy the equality.

Here,

Let x be the first odd integer, then the second and third odd integers are x+2 and x+4, respectively, since the difference between consecutive odd integers is 2.

The sum of the three consecutive odd integers is 57, so we can write:

x + (x+2) + (x+4) = 57

Simplifying and solving for x, we get:

3x + 6 = 57

3x = 51

x = 17

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(fg)(x)= x³ - 7x² - 9x + 8

domain is (-∞,∞)

Given: f(x)= x-8, g(x)= x² +1x - 1

To find (fg)(x) we multiply f(x) and g(x)

(fg)(x) = f(x) * g(x)

(fg)(x)= (x-8) (x²+x-1)

(fg)(x)= x³ + x² - x - 8x² - 8x +8

(fg)(x)= x³  - 7x²  - 9x + 8

we know, domain for all cubic function is set of all real numbers

domain is (-∞,∞)

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The Simplex Algorithm to solve the given linear programming problem gives the solution \(x_{1}\) = 16, , \(x_{2}\) = 0,  \(x_{3}\)  = 11; while the minimum value of objective function is "13.2".

The solution to the given linear programming problem can be obtained using the Simplex algorithm. Using the initial basic feasible solution (\(x_{1}\) = 0,\(x_{2}\) = 0, \(x_{3}\) = 0), the following sequence of steps can be used to solve the problem:

The solution of the problem is: \(x_{1}\) = 16, \(x_{2}\) = 0, \(x_{3}\) = 11.

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The solution to the graph of the linear inequality is the point of intersection which is (-5, 3)

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system

In this problem, to find the solution to the system of linear inequality, we have to find the point of intersection. This gives the exact solution to the graph.

Looking at this graph, the point of intersection is (-5, 3)

The solution to the graph is (-5, 3)

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The claim that the diamond cone indenter was probably dull is not a valid claim without further investigation and evidence

Here a statistical sampling of Rockwell c hardness tests is conducted on a material. The claim that the diamond cone indenter was probably dull is not a valid claim without further investigation and evidence. While a dull diamond cone indenter could potentially result in inaccurate hardness measurements, it is not necessarily the only factor that could have led to insufficient hardness readings. Other factors, such as improper preparation of the sample or incorrect testing conditions, could also contribute to inaccurate hardness measurements. Therefore, it is essential to thoroughly investigate all possible sources of error before concluding that the tests were flawed due to a dull diamond cone indenter.

Additionally, if the supplier is making this claim, they should provide evidence to support it, such as records of when the diamond cone indenter was last sharpened or a comparison of the results from the defective material and other samples tested using the same diamond cone indenter.

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The probability that a cookie is randomly picked and it does not contain chocolate or nuts will be 0.52

As per the question statement, a box of assorted cookies has 36% of them containing chocolate and 12% containing nuts, and of those, again 8% contain both chocolate and nuts, and we are assuming that the rest of the cookies neither contain chocolate, nor nuts.

Based on the conditions and our assumptions provided in the above mentioned statement, we are required to calculate the probability that a cookie is randomly picked and it does not contain chocolate or nuts.

Considering the total number of cookies in the box to be 100%, since 36% of them containing chocolate and 12% containing nuts and the rest of the cookies are assumed to contain neither chocolate, nor nuts,

The probability that a cookie is randomly picked and it does not contain chocolate or nuts will be [{100 - (36 + 12)}/100]

                                      = [(100 - 48)/100]

                                      = (52/100)

                                      = 0.52

Probability: It is a branch of Mathematics, that deals with the numerical descriptions concerning the extent to which an event is likely to occur, or how likely it is for a proposition to be true, and is measured by the ratio of the favorable cases to the whole number of cases possible.

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Given the area of the square is 8 and it is inscribed in a circle, let's first find the side of the square and then we can find the radius of the circle. We know that the diagonal of the square is equal to the diameter of the circle, and also, diagonal of the square is √2 times the side of the square.

Let the side of the square abcd be ‘x’.According to the problem, Area of square, ABCD = 8 square units We know that the area of the square, ABDC = side² = 8 square units That is x² = 8 square units or x = √8 units. Diagonal of square, ABDC = √2 x = √16 = 4 units. Diameter of the circle = Diagonal of square, ABDC = 4 units Radius of circle = 1/2 Diameter = 1/2 x 4 = 2 units Now, let’s find the length of arc EBC. It is an arc of the circle with center ‘O’ and radius 2 units, so it will be a quarter of the circle. The circumference of a circle is 2πr.

Here, the circumference is πd or π(2r).So, the length of the arc EBC = 1/4 circumference of circle with radius 2 units= 1/4 x 2π(2) = πunits in terms of n. Hence, the length of arc EBC in terms of n is π. Answer: π. Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.

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Answer:

2,781

Step-by-step explanation:

Answer:

2,781. good luck. have a great day

Answer:

We can use the formula for the area of a triangle to solve for the height of the isosceles triangle, which will then allow us to find the lengths of the other two sides.

Let h be the height of the isosceles triangle, and let s be the length of each of the two equal sides. Then the area of the triangle is given by:

A = (1/2)bh = (1/2)(10m)(h) = 5h

We also know that the area of the triangle is 60 square meters, so we can set these two expressions equal to each other and solve for h:

5h = 60

h = 12

Now that we know the height of the triangle is 12 meters, we can use the Pythagorean theorem to find the length of each of the other two sides:

s^2 = h^2 + (1/2b)^2

s^2 = 12^2 + (5^2)

s^2 = 169

s = sqrt(169)

s = 13

Therefore, the lengths of the other two sides of the isosceles triangle are both 13 meters.

Answer:

Statistical inference

Step-by-step explanation:

Answer:

The second option 5x.

Step-by-step explanation:

Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)

Answer:

x > 3

Step-by-step explanation:

This is based on the concept 'when a negative number is multiplied to both sides of the inequality, the sign gets reversed. For example, x > - 2 when it is multiplied by - 1, it becomes - x < 2.'

*only when the number is -ve.

Similarly, in this question, multiply both sides by - 1.

2x > 6

x > 6/2

x > 3

For more : take - 5 > - 2, as you know

Note that 5 is actually greater than 2. To make this true we change signs

Answer:

85*

Step-by-step explanation:

Its  really complicated but manage to find it

Answer:

6/x^2

Step-by-step explanation:

Simplify the following:

2/x^2 + 4/x^2

2/x^2 + 4/x^2 = (2 + 4)/x^2:

(2 + 4)/x^2

2 + 4 = 6:

Answer: 6/x^2

Answer:

6/x²

Step-by-step explanation:

\(\frac{2}{x^{2} } + \frac{4}{x^{2} } \\\\\)

= (2+4) / x²

= 6/x²

The statement that if Σan and Σbn are both convergent series with positive terms, then Σanbn is also convergent is false.

The given statement that if Σan and Σbn are both convergent series with positive terms, then Σanbn is also convergent can be proved false by providing a counterexample. That is, we can provide an example of two convergent series with positive terms whose product series is divergent. To prove the given statement false, we can take the following example series:an = 1/n2bn = n

Then, Σan and Σbn both converge.

We can show this as follows: Σan = 1/12 + 1/22 + 1/32 + 1/42 + … is a well-known convergent p-series with p = 2. Σbn = 1 + 2 + 3 + 4 + … is a divergent series.

However, the product series Σanbn is a divergent series. We can show this as follows:Σanbn = (1/1) + (2/4) + (3/9) + (4/16) + …= Σ(1/n)

This series is known as the harmonic series, which is a well-known divergent series.

Therefore, the given statement is false.

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A regular octagon is formed by cutting an isosceles right triangle from each of the corners of a square. To find the length of the side of the octagon, we can use the Pythagorean theorem to calculate the length of the hypotenuse of the isosceles right triangle.

In an isosceles right triangle, the two legs have the same length and the hypotenuse is the side opposite the right angle. Since the square has sides of length 2000, half of the side of the square is the leg of the isosceles right triangle.

So the leg of the isosceles right triangle is 2000/2 = 1000.

Applying the Pythagorean theorem to find the hypotenuse of the isosceles right triangle:

c^2 = a^2 + b^2

c = sqrt(a^2 + b^2)

c = sqrt(1000^2 + 1000^2)

c = sqrt(1000000)

c = 1000*sqrt(2)

So the length of each side of the octagon is 1000sqrt(2)

The z-statistic for this data is 1.15

The Z-test is a statistical test for determining whether the means of two populations differ when the variance is known and the sample size is large. A Z-test is a hypothesis test in which the Z-statistic is normally distributed. A Z-statistic or Z-score is a number that represents the result of a Z-test.

The z statistics is given by:

Z =(X-p)/s

In which X is the found proportion, p is the expected proportion, and s, which is the standard error is s= \(\sqrt{p(1-p)/n}\)

Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.

This means that X = 13/53 = 0.2453

She find that the proportion of satisfied teachers nationally is 18.4%.

This means that p = 0.184

p = 0.184, n = 53

So 0.816*.184/53

\(s = \sqrt{0.816*.184/53}\) =0.0532

Z-statistic:

Z = (X-p)/s

Z=(0.2453-0.184)/0.0532

Z=1.15

The correct answer is: 1.15

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Answer:

5 cm

Step-by-step explanation:

Square has the formula = S × S

S × S = S²

S = Side

Square has an area 25 cm²

Length of a side of the square :

25 cm² = S²

S² = 25

S = √25

S = 5 cm

________________________

The equation of the circle is given as follows:

x² + y² = 2704.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

The center is the position of the transmitter site, hence it is at the origin.

As stated in the problem, the radius of the circle is given as follows:

r = 52 miles.

Hence the equation of the circle is given as follows:

x² + y² = 52²

x² + y² = 2704.

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Answer:

y=0.5x

Step-by-step explanation:

Answer:

y = 1/2x

Step-by-step explanation:

Answer:

3/128

Step-by-step explanation:

first term: 3/1

second term: 3/1*1/2 = 3/2

third term: 3/2*1/2 = 3/4

fourth term: 3/4*1/2 = 3/8

fifth term: 3/8 * 1/2= 3/16

sixth term: 3/16 * 1/2 = 3/32

seventh term: 3/32 * 1/2 = 3/64

eighth term: 3/64 * 1/2= 3/128

Answer: \(\mathrm{No\:Solution}\)

Step-by-step explanation:

\(\begin{bmatrix}-3+5+6g=1\\ 1-3g+5+6g=11-3g\end{bmatrix}\)

\(\begin{bmatrix}1-3\left(-\frac{1}{6}\right)+5+6\left(-\frac{1}{6}\right)=11-3\left(-\frac{1}{6}\right)\end{bmatrix}\)

\(\begin{bmatrix}\frac{11}{2}=\frac{23}{2}\end{bmatrix}\)

\(\frac{11}{2}=\frac{23}{2}\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}\)

Answer:

g=1

Step-by-step explanation:

Answer:

Answer -$ 12.9

Step-by-step explanation:

Answer:

12.90

Step-by-step explanation:

Step-by-step explanation:

1296.84 / 12 = $108.07 earned per day