The roots of x² - 4x = 5, in ascending order, are what?? PLEASE HELP

Answer: 1st 173 2nd 396

Step-by-step explanation: I hope this helps!

Answer:

13/3

Step-by-step explanation:

Try it

Answer:

Suppose in a triangle △ABC, if sides AB and AC are equal, then △ ABC is an isosceles triangle where ∠ B = ∠ C. The theorem that describes the isosceles triangle is if the two sides of a triangle are congruent, then the angle opposite to them are also congruent

When it comes to checking whether a resource URI exists, there are several HTTP methods that can be used to achieve this objective. The most effective HTTP method that can be used to accomplish this is the HEAD method. This method is similar to the GET method.

When a client sends a HEAD request to a server, the server will respond with a status code indicating whether the resource URI exists or not.

A successful response will typically return a 200 OK status code, indicating that the resource exists, while an unsuccessful response will return a 404 Not Found status code.

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Answer:

How do I take 20 % off a price?

Take the original price.

Divide the original price by 5.

Alternatively, divide the original price by 100 and multiply it by 20.

Subtract this new number from the original one.

The number you calculated is the discounted value.

Enjoy your savings!

Step-by-step explanation:

Answer:

(6, 97) is the outlier.

Step-by-step explanation:

When we have a data set:

x: x₁, x₂, x₃, ..., xₙ

y: y₁, y₂, y₃, ..., yₙ

Each one of the pairs (x₁, y₁), (x₂, y₂), etc, is an ordered pair that belongs to the data set.

Usually, these values are distributed in some way that, we assume, is normalized. So if one of these ordered pairs is really different from the others, then that pair is called an "outlier".

In the data set, we have:

Number of homework completed vs Score assigned.

You can see that, as the number of homework completed increases, also does the score

For example, for the smaller number of homework completed, (5) the score is 67, the minimum score.

And as the number of homework completed reaches to 10, the score increases to 90 or 98.

But there is an outlier there, you can see that a student that only completed 6 times the homework, has a score of 97 (one of the largest scores) (this score is more than all the scores for the students with 6, 7, 8 and 9 completed homeworks) so we can conclude that this one is the outlier.

(6, 97) is the outlier.

a) The probability that the same product is discounted exactly 10 days from now is 1/10. As the website randomly selects among 10 products to discount each day, the probability that the colour printer will be discounted exactly 10 days from now will be the same as the probability of any other product being discounted exactly 10 days from now, which is 1/10.

b) Let X be the number of days until this product is again discounted. X is a geometric random variable with parameter p = 1/10. Hence, E(X) = 1/p = 10 days.

c) The probability that it is discounted for the third time in 5 days from now can be calculated using the negative binomial distribution. Let Y be the number of days until the product is discounted for the third time, with Y = k on the kth day. Then we have P(Y = 5) = (3-1) C (5-1) * (1/10)^3 * (9/10)^4 = 0.00576 or 0.576%.d)

For the next five days, the probability that it is discounted in three days can be calculated using the binomial distribution with n = 5 and p = 1/10. Hence, P(X = 3) = (5 C 3) * (1/10)^3 * (9/10)^2 = 0.0081 or 0.81%.

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We have that, based on the probability of a website, randomly selecting between 10 products to discount each day, we are going to obtain the following:

a) The probability that the color printer will have an exact discount in 10 days is 1/10

b) The expected number of days until the product is discounted again is 10 days

c) The probability that the color printer will be discounted for the third time within 5 days is 1/1000.

d) The probability that the color printer will be discounted in three days is 81/1000

a) To find the probability that the color printer will be on sale exactly 10 days from now, we must assume that there are 10 products and only 1 is on sale each day. The probability of selecting the color printer is 1/10. Since the selection is random each day, the probability that it will be discounted again in exactly 10 days is also 1/10.

b) The expected number of days until the product is discounted again can be calculated using the geometric distribution. For a geometric distribution with probability p, the expected value is given by E(X) = 1/p. In this case, p = 1/10, so the expected number of days is E(X) = 1/(1/10) = 10 days.

c) To find the probability that the color printer will be discounted for the third time within 5 days, we must consider three independent discounts. The probability of selecting the color printer each day is 1/10. Since the selection is random and independent each day, we need to multiply the probabilities: (1/10) * (1/10) * (1/10) = 1/1000.

d) For the next five days, the probability that the color printer will be discounted in three days can be found by finding the probability that the third day is discounted and the first two days are not discounted. The probability of not being discounted is 9/10. Therefore, the probability that the color printer will be discounted on the third day after not discounting the first two days is: (9/10) * (9/10) * (1/10) = 81/1000.

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Answer:

1,679,616

Step-by-step explanation:

x = 30

Step-by-step explanation:

Given,

y = 10, x = ?

2y+y = x → Equation no. (1)

Substitute the value of y in Equation no. (1) then,

2(10)+10 = x

20+10 = x

30 = x (OR) x = 30.

Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

The set of numbers that are written in order from least to greatest is: 15.75, √250, 4², 50/3, 16.7 x 10³.

You need to solve for the quantities given to see which numbers are the smallest and which are the largest.

15.75 = 15.75

√250 = 15.8

4² = 16

50 / 3 = 16.7

16.7 x 10³ = 16,700

The order from least to greatest is therefore:
15.75, √250, 4², 50/3, 16.7 x 10³.

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2.71 is your answer

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The value of k in the equation y = A(sin kx) + B is 2.

The equation y = A(sin kx) + B, where A is the amplitude and B is the vertical shift, we can determine the value of k using the given information.

From the given information:

The period of the sine wave is .

The amplitude of the sine wave is 2.

The translation is 3 units to the right.

The period of a sine wave is given by the formula T = (2) / |k|, where T is the period and |k| represents the absolute value of k.

In this case, the period is , so we can set up the equation as follows:

= (2) / |k|

To solve for k, we can rearrange the equation:

|k| = (2) /

|k| = 2

Since k represents the frequency of the sine wave and we want a positive value for k to maintain the rightward translation, we can conclude that k = 2.

Therefore, the value of k in the equation y = A(sin kx) + B is 2.

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Incomplete question:

Given that your sine wave has a period of , an amplitude of 2, and a translation of 3 units right, find the value of k.

The diameter, in inches, of a circle with a circumference of 84.78 inches is equal to 27 inches.

In order to calculate the diameter of any circle, you should use the formula for the circumference of a circle. Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = πD

Where:

By making diameter (D) the subject of formula, we have the following:

D = C/π

Note: The value of pie (π) is equal to 3.14.

Substituting the given parameters into the formula, we have the following;

Diameter (D) = 84.78/3.14

Diameter (D) = 27 inches.

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Simplified form of the expression 8 ( 3 + 4 ) using the Distributive Property of Multiplication over Addition is 56

To apply the Distributive Property of Multiplication over Addition, you need to multiply the number outside the parentheses by each term inside the parentheses and then add the products together.

In this case, the number outside the parentheses is 8, and the terms inside the parentheses are 3 and 4. So, you can apply the distributive property as follows:

8 ( 3 + 4 ) = 8 × 3 + 8 × 4

Multiply the numbers

= 24 + 32

Add the numbers

= 56

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Answer:

n = 7

Step-by-step explanation:

Your answers are correct.

For problem 3, we use error estimation:

| (-2)ⁿ⁺¹ / (n+1)! | < 0.01

(2)ⁿ⁺¹ / (n+1)! < 0.01

By trial and error:

If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667

If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089

If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006

Answer:

Step-by-step explanation:

Initial value of house is $478000

Change in value is 8% greater:

We need 8% of Value

\(\\ \sf\longmapsto 8\%\:of\;478000\)

\(\\ \sf\longmapsto 0.08(478000)\)

\(\\ \sf\longmapsto 38240\$\)

Current value:-

\(\\ \sf\longmapsto 478000+38240=516240\)

The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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The missing angles are as follows:

When parallel lines are cut by a transversal, angle relationships are formed such as alternate angles, corresponding angles, vertically opposite angles etc.

Therefore,

x = 180 - 63(sum of angles on a straight line)

x = 117°

y = 180 - 63(supplementary angles)

y = 117

z = 180 - 63(sum of angles on a straight line)

z = 117°

s = 63°(alternate angles)

t = 63°(vertically opposite angles)

u = 63°(corresponding angles)

p = 117° (vertically opposite angle to y)

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Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

The equation of the tangent plane at P0 is 0x + 0y + 0z = 0, which simplifies to 0 = 0. The equation indicates that the tangent plane is degenerate and effectively reduces to a point at P0. The coordinates of P0 and the components of the direction vector is (x - 3)/(72π + 72) = (y - 4)/54 = z/(6e + 12).

To find the equations for the tangent plane and the normal line at the point P0(3, 4, 0) on the surface −2cos(πx) + 6x^2y + 2exz + 3yz = 220, we'll follow a step-by-step process.

Step 1: Determine the partial derivatives of the surface equation with respect to x, y, and z.

The partial derivatives are:

∂f/∂x = 2πsin(πx) + 12xy + 2ez

∂f/∂y = 6x^2 + 3z

∂f/∂z = 2ex + 3y

Step 2: Evaluate the partial derivatives at the point P0(3, 4, 0) to obtain the slope of the tangent plane.

Substituting the coordinates of P0 into the partial derivatives:

∂f/∂x at P0 = 2πsin(3π) + 12(3)(4) + 2e(3)(0) = 72π + 72

∂f/∂y at P0 = 6(3^2) + 3(0) = 54

∂f/∂z at P0 = 2e(3) + 3(4) = 6e + 12

The slope of the tangent plane at P0 is given by the vector (∂f/∂x at P0, ∂f/∂y at P0, ∂f/∂z at P0).

Step 3: Write the equation for the tangent plane.

The equation of a plane is of the form Ax + By + Cz = D. To find the coefficients A, B, C, and D, we use the slope vector and the coordinates of the point P0:

A(x - x0) + B(y - y0) + C(z - z0) = 0

A(3 - 3) + B(4 - 4) + C(0 - 0) = 0

0 + 0 + 0 = 0

Therefore, the equation of the tangent plane at P0 is 0x + 0y + 0z = 0, which simplifies to 0 = 0. The equation indicates that the tangent plane is degenerate and effectively reduces to a point at P0.

Step 4: Determine the direction vector of the normal line.The direction vector of the normal line is parallel to the gradient vector of the surface equation at P0. The gradient vector is given by (∂f/∂x at P0, ∂f/∂y at P0, ∂f/∂z at P0).

Step 5: Write the equation for the normal line.

The equation of a line is of the form (x - x0)/A = (y - y0)/B = (z - z0)/C, where A, B, and C are the components of the direction vector.

Using the coordinates of P0 and the components of the direction vector, we have:

(x - 3)/(∂f/∂x at P0) = (y - 4)/(∂f/∂y at P0) = (z - 0)/(∂f/∂z at P0)

Substituting the values we calculated earlier:

(x - 3)/(72π + 72) = (y - 4)/54 = z/(6e + 12)

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Answer:

true

Step-by-step explanation:

hope this helps have an amazing day!

Answer:

T

Step-by-step explanation:

hope it help

Answer:

21

Step-by-step explanation:

Answer:

The correct answer is 21 out of 140 students

Step-by-step explanation:

Hope this helped :3

The area of the circle is 1790.49 centimeters square

To calculate the area of the circle, we shall need the radius of the circle

We can get the radius from the arc length

Mathematically, the length of an arc is;

From the question, the length is 15 cm while the central angle is 36

Thus we have;

Mathematically, the area of the circle will be;

Without the histograms, there's no specific region as an answer. However, you can follow these steps to determine the region with the least standard deviation in level of interest based on the provided data.

To determine the region with the least standard deviation in level of interest, we need to analyze the histograms for each region. Standard deviation is a measure of how spread out the data is. The region with the least standard deviation will have data points that are more closely clustered around the mean (average) level of interest.


1. Examine the histograms for each region.
2. Look for the region where the data points are more tightly grouped around the mean level of interest. This indicates less variability and a smaller standard deviation.
3. Identify the region with the least standard deviation in level of interest.

To determine the region with the least standard deviation in the level of interest, examine the histograms for each region and identify the one where data points are tightly clustered around the mean level. Calculate the standard deviation for each region and select the region with the smallest value, indicating a more concentrated and less variable distribution of the level of interest.

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The amount of salt in the tank after 10 minutes is 4.5 lbs.

The initial amount of salt in the tank is 100 * 0.05 = 5 lbs.

The amount of salt that leaves the tank each minute is 2 * 0.05 = 0.1 lbs.

The amount of salt that enters the tank each minute is 0 lbs.

Therefore, the net amount of salt in the tank is decreasing by 0.1 lbs per minute.

If we let t be the number of minutes, then the amount of salt in the tank at time t is given by

salt = 5 - 0.1t

To find the amount of salt in the tank after 10 minutes, we can set t = 10 and evaluate the expression. This gives us

salt = 5 - 0.1 * 10 = 4.5 lbs

Therefore, the amount of salt in the tank after 10 minutes is 4.5 lbs.

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Answer:

\(\frac{1}{6}\)

Step-by-step explanation:

To find the common ratio of a geometric sequence, we  can divide one of the terms by the one before it

\(r = \frac{u_n}{u_{n-1}}\)

Let's try to apply that to the sequence in the question prompt:

\(r = \frac{504}{3024}\\\\r = \frac{1}{6}\)

The common ratio must be the same all throughout the sequence, so we can try this with two other values from the sequence just to be sure

\(r = \frac{84}{504}\\\\r = \frac{1}{6}\)

Now we can be sure that the common ratio of this geometric sequence is \(\frac{1}{6}\)

Note: \(r\) is usually used to denote the common ratio

Good luck!