What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form in the box.

Answer:

(x-4)^2 + (y-5)^2 = 20

Step-by-step explanation:

Rearrange the line equation of 5x - 2y + 6 = 0

So y = 5/2x +3

The y-intercept of the line equation is 3 as when x=0, y=3.

We know the Circle has the formula \((x-4)^2 + (y-5)^2 = ?^2\) from the question but with the intercept, we can find the entire equation as the y-intercept is (0,3) so we can substitute it into the equation to find the full equations so:

\((0-4)^2 + (3-5)^2 = ?^2\)

This simplifies to:

\((-4)^2 +(-2)^2\) = \(?^2\)

16 + 4 = 20 = \(?^2\)

The answer is 20 so the equation of the circle is \((x-4)^2 + (y-5)^2 = 20\)

The first five terms of the sequence aₙ =3an−1​ where a₁=3 are 3, 11, 35, 107, 323.

The sequence is defined recursively by a formula that relates each term of the sequence to the previous term. The first term of the sequence is given, which is a₁=3. The formula for the nth term is given as aₙ =3an−1​ +2, for n>1.

To find the second term, we plug in n=2 into the formula:

a₂=3a₁ + 2 = 3(3) + 2 = 11

So the second term of the sequence is a₂=11.

To find the third term, we plug in n=3 into the formula:

a₃=3a₂ + 2 = 3(11) + 2 = 35

So the third term of the sequence is a₃=35.

To find the fourth term, we plug in n=4 into the formula:

a₄=3a₃ + 2 = 3(35) + 2 = 107

So the fourth term of the sequence is a₄=107.

To find the fifth term, we plug in n=5 into the formula:

a₅=3a₄ + 2 = 3(107) + 2 = 323

So the fifth term of the sequence is a₅=323.

We can continue to find the subsequent terms of the sequence by using the recursive formula aₙ =3an−1​ +2 for n>1.

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The differentiate of the function s(t) = 1/t + 1/t⁸ is given by, s'(t) = -t ⁻² - 8 t ⁻⁹.

We know that, the differentiation formula states that,

d/dx (xⁿ) = n xⁿ ⁻¹

Given the function is,

s(t) = 1/t + 1/t⁸ = t ⁻¹ + t ⁻⁸

differentiating the given function with respect to 't' we get,

d/dt [s(t)] = d/dt [t⁻¹] + d/dt [t⁻⁸]

s'(t) = -1 t ⁻¹ ⁻¹ + (-8) t ⁻⁸ ⁻¹

s'(t) = -t ⁻² - 8 t ⁻⁹

Hence, differentiate of the function is given by, s'(t) = -t⁻² - 8 t⁻⁹.

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Answer:

it is 15 percent decay

Step-by-step explanation:

Answer:

37.1

Step-by-step explanation:

Hope this is the right answer.

Answer:

A= 615.44

Step-by-step explanation:

A=πr²

A=π14²

A=196(3.14)

A= 615.44

Answer:

128°

Step-by-step explanation:

the answer is 128° i explained it as i could in the diagram hope you understand

The design specifications for a reverse-air baghouse to remove fly ash from a power plant exhaust gas stream are requested. The answers to the specific requirements are as follows:

a. The type of fabric: The selection of fabric for the baghouse will depend on various factors such as temperature, gas composition, and particulate characteristics. Considering the presence of SO2 gas and the high temperature of the airstream, a suitable fabric choice could be PTFE (Polytetrafluoroethylene) or P84 (Polyimide) due to their resistance to corrosion and high-temperature properties.

b. Filtering velocity, ft/min: The filtering velocity is the airflow rate passing through the cloth area per unit area. It is typically recommended to keep the filtering velocity within a range of 2-6 ft/min for baghouse applications. Considering the given airflow rate of 300,000 acfm, the filtering velocity can be calculated by dividing the airflow rate by the cloth area.

c. Cloth area: The cloth area required can be determined by dividing the airflow rate (300,000 acfm) by the filtering velocity (ft/min). The units should be converted appropriately to ensure consistency.

d. Number of bags: The number of bags needed depends on the desired bag spacing, bag length, and cloth area. It is typically determined based on practical considerations such as maintaining appropriate airflow distribution and minimizing pressure drop.

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There are 59049 five-digit numbers are there that do not have two consecutive digits the same.

As per the given data:
We have to determine how many five-digit numbers are there that do not have two consecutive digits the same.

The selection of numbers from 0-9 for all digits

The first digit may not be a zero.

So, the first digit has 9 choices from 1-9.

The second digit can be any of the numbers from 0-9 except the first digit.

So, the second digit also has 9 choices.

The third digit can be any of the numbers from 0-9 except the second digit.

So, the third digit also has 9 choices.

The fourth digit can be any of the numbers from 0-9 except the third digit.

So, the fourth digit also has 9 choices.

The fifth digit can be any of the numbers from 0-9 except the fourth digit.

So, the fifth digit also has 9 choices.

According to the question, all five digits have 9 choices as two consecutive digits are not the same.

So, the Number of the digit is 9 × 9 × 9 × 9 × 9 = \(9^{5}\) as shown here.

Hence, the answer is 59049 numbers.

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Answer:

It's -15 hope this helped!!

Answer:

2/3

Step-by-step explanation:

1-5 is 4 and 8-2 is 6 so ots 4/6 which can be simplified to 2/3

Answer:

38/10

Step-by-step explanation:

1/5-8/2=38/10

8/2-1/5=38/10

The observed difference may not reflect a true difference caused by the treatments, but rather a chance fluctuation due to the random variation in the sample selection process.

If there is a difference between the two groups of scores, it suggests that the treatments themselves may have caused the difference. This could be due to a variety of factors related to the treatments, such as the active ingredients or components of the treatments, the dosage or intensity of the treatments, the timing or duration of the treatments, or the specific mechanisms by which the treatments are intended to work. The treatments may have distinct effects on the participants, resulting in observable differences in the measured outcomes.

b. On the other hand, the difference between the two groups of scores could simply be due to sampling error. Sampling error refers to the natural variability that can occur when drawing samples from a larger population. Even if the two treatment conditions are identical in their effects, random chance can lead to differences in the observed scores between the two groups. This could occur if the samples are not perfectly representative of the overall population, or if there are inherent individual differences within the samples that influence the scores. In such cases, the observed difference may not reflect a true difference caused by the treatments, but rather a chance fluctuation due to the random variation in the sample selection process.

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Answer:

I hope this works

Step-by-step explanation:

look at the picture

The square root of -77 is 0 + 8.7749i. The square root of a negative number is not a real number. The square root of a real number x is the number that, when multiplied by itself, equals x.

However, there is no real number that satisfies this condition when x is negative. In the case of -77, there is no real number that, when multiplied by itself, equals -77. Therefore, the square root of -77 is not a real number.

Instead, the square root of negative numbers is represented by a type of number known as an imaginary number. An imaginary number is a number that can be written in the form a+bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1.

So, the square root of -77 can be represented as the imaginary number √(77)*i, which can also be written as 0+√(77)*i, where 0 is the real part and √(77)*i is the imaginary part. So, the square root is 0+8.7749i .

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Answer:

\(b=\sqrt{1575}\) ≈ 39.7ft

Step-by-step explanation:

The Pythagorean theorem:

\(a^{2}+ b^{2}= c^{2}\)

(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)

First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.

\(45^{2}+ b^{2}= 60^{2}\)

\(2025+b^{2} =3600\)

To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:

\(b^{2} =1575\)

\(b=\sqrt{1575}\) ≈ 39.7ft

Answer:

36

Step-by-step explanation:

The answer is 36, I did the work

Answer:

1234

Step-by-step explanation:

Answer:

Rs. X + Rs. 10y

Step-by-step explanation:

Charge for 40 km travel = Rs. x per km

Charge for every additional km traveled = Rs. y

Amount paid for 50 km

Fixed charge for 40km = Rs. X

Additional km = 50 - 40 = 10 kilometer

Total charge :

Rs. X + Rs. 10y

Answer:

Step-by-step explanation:

Area = h/2 (b_1+b_2)

\(\sf\cfrac{7}{2}\:(22+34)\)

Add 22 and 34 = 56

\(\sf \cfrac{7}{2} \times 56\)

Let's express 7/2 * 56 as a single fraction:-

\(\sf \cfrac{7\times 56}{2}\)

Multiply 7 and 56 = 392

\(\sf \cfrac{392}{2}\)

Divide

\(\sf 196\)

Therefore, the area of the trapezoid is 196cm².

_______________________

Answer:

127.5

Step-by-step explanation:

(153/6) x 5 = 127.5

Answer:

Step-by-step explanation:

total type of books are 4 types

the probability of one book is 60

so the probability of type of a book is 4/60=1/15

Answer:(-1,7)

Step-by-step explanation:

Answer:

28.3

Step-by-step explanation:

formula for area of of a circle is

A = πr²

3² = 9

3.14 * 9 = 28.26

rounded to tenth power = 28.3

Hope this helps dude

The correct statement is B. For all b, the equation Ax=b has a solution.

Since the columns of A are linearly independent, then the matrix A has full rank, and its column space is equal to the entire vector space in which it resides. This means that for any given vector b, we can find a linear combination of the columns of A that is equal to b, and therefore the equation Ax=b has a solution for all b.

Option A is incorrect, as there may be certain b vectors for which Ax=b has a solution.

Option C is incorrect, as the equation Ax=b may have a solution even when A has fewer columns than rows.

Option D is incorrect, as we can determine whether or not the equation Ax=b has a solution for all b by checking the rank of A.

Option E is incorrect, as the equation Ax=b may have a solution even when A has more columns than rows.

Option F is incorrect, as a square matrix may or may not have linearly independent columns, and therefore may or may not have a solution for all b.

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Slope means inclination of the line

Intercept means the point where the line cuts the y axis

general form of the quation is

y= mx + b. Here m is the slope(inclination) , and b is intercept

then replace m=1/5. b=-4

y=(1/5)x + (-4) = (1/5)x -4

The data value that corresponds to the 46th percentile is 10.

To find the data value that corresponds to the 46th percentile, we need to arrange the given data in ascending order and then identify the value at the desired percentile.

Arranging the data in ascending order:

7, 12, 14, 16, 19, 19, 19, 25, 25, 27, 28, 28, 34, 37, 38, 40, 53, 69, 92, 115, 200

Since we have 21 data values, the 46th percentile corresponds to the (46/100) * 21 = 9.66th value.

To find the corresponding data value, we round up the decimal value to the nearest whole number, which is 10.

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Answer:

0,0

1,0.5

2,1

3,1.5,

4,2

5, 2.5

Step-by-step explanation:

Answer: c=0.5

Step-by-step explanation:

19-4c=17

-4c=-2

4c=2

c=0.5

Answer:

38.9°

Step-by-step explanation:

The three angles in a triangle add up to 180°. Also, a right triangle has a right angle in it. A right angle is 90°.

90° + 51.1° + x = 180°

141.1 + x = 180°

subtract 141.1°

x = 38.9°

Answer: 214.28

Step-by-step explanation: