what is the
pattern for 22,19,16,13​

Answer:

9. yes

10. no

11. yes

Step-by-step explanation:

A Pythagorean triple are 3 numbers that work out to be sides of a right triangle, for which we use the Pythagorean theorem, a^2 + b^2 = c^2.

"a" and "b" are the legs of the triangle, and "c" is the hypotenuse, which is the longest side.

For problem 9, we can plug in 5^2 + 12^2 = 13^2 and see if it's true. If it is true, those numbers are a Pythagorean triple. If it is false, than they are not.

9. 5^2 + 12^2     13^2 = 169

    25 + 144 = 169

Squaring the legs and adding them come up with 169, which is "c" squared, the hypotenuse, or longest leg, 13. So, take the square root of 169, the answer of the left side of the equation, and we see that it works out.

10. 10^2 + 17^2 = 24^2    24^2 = 576

     100 + 289 = 289

After doing the left side of the equation by squaring the shorter numbers, those add up to 289. The hypotenuse squared (24^2) = 576, which is not 289, so this set of numbers are not a Pythagorean triple

11. Here, you need to figure out what number 7\(\sqrt{5}\) is to see if it's a leg or hypotenuse. I like to make it all into a square root of a number (desymplifying it) first. the 7 comes from a perfect square root, \(\sqrt{49}\), so we can multiply these numbers under the radical sign to equal \(\sqrt{245}\) which equals about 15.65, so it is the hypotenuse ("c") because it is the largest number.

7^2 + 14^2    (7\(\sqrt{5}\))^2 = \(\sqrt{245}\)^2 = 245

49 + 196 = 245

245 = 245

a^2 + b^2 = c^2 works out for this equation so it is a Pythagorean triple.

Answer:

Step-by-step explanation:

Using equations, let's solve. In the problem, it said that he ran at 200 meters per minute.

Then, it said that "After 400m, he is tired and immediately slows to a rate of 100  meters per minute."

Hence, it took him 3 minutes to get to Lexington.

Hoped this helped.

\(BrainiacUser1357\)

\(7 \frac{5}{8} + 4 \frac{2}{3} \)

the simplest form.

\( \frac{61}{8} + \frac{14}{3} \)

\( = \frac{(61 \times 3) + (14 \times 8)}{8 \times 3} \)

\( = \frac{183 + 112}{24} \)

\( = \frac{295}{24} \)

\( = 12 \frac{7}{24} \)

hence, the correct answer is option D.

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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So I posted the pic of it.

Hope this helps you...

Answer:

Below

Step-by-step explanation:

The mode is the value that appears often

11 appears two times as well as 10

13 appears 3 times

The mode is 13

The median:

The middle numbers are 13 and 10

Sum them and divide the result by 2 to get the median

● 13 + 10 = 23

● 23 ÷ 2 = 11.5

The probability of exactly 12 citizens favoring the substation out of a random pattern of 20 citizens is about 16.77%

This is a binomial probability problem, where we want to discover the chance of obtaining exactly 12 favorable responses out of 20, given that the probability of an person being in want of the substation is 0.85.

The method for the possibility of having exactly k successes in n independent Bernoulli trials, each with probability of fulfillment p, is given via the binomial distribution:

P(X = k) = (n choose k) * \(p^k * (1-p)^{(n-k)}\)

Where (n choose k) represents the range of approaches to pick k objects from a fixed of n objects.

Using this formulation, we are able to calculate the chance of obtaining exactly 12 favorable responses out of 20 as:

P(X = 12) = (20 choose 12) * \((0.85)^{12} * (1-0.85)^{(20-12)}\)

P(X = 12) = 0.1677 (rounded to four decimal places)

Therefore, Out of a random sample of 20 individuals, the probability of exactly 12 citizens favouring the substation is around 0.1677, or 16.77%

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Answer:

Make 7/5 and 1/8 have a common denominator, which is 40.

7/5 x 8/8 = 56/40(minutes driving to her home)

1/8 x 5/5 = 5/40 she spends

Answer: 10 kmph [kilometres per hour]  

Answer:

It is going to be a dashed line and shaded above the line

x intercept- (-2.4,0) y intercept- (0,-4)

Step-by-step explanation:

Hope that helped :)

Answer:

nfDIIIIIIIIII

Step-by-step explanation:

Answer: 3.7

Step-by-step explanation: In this case you're just multiplying by (10) usually this is done to make a decimal to a whole number

There are ten centimeters in one decimeter. How many decimeters are in thirty seven centimeters?

Divide 37/10=3.7

Another way is 3. 7*10=37

Answer:

y=63

x=63

z=72

Step-by-step explanation:

Answer:

X= 63, Y= 63, Z=72

Step-by-step explanation:

The probability of spinning an even number or a prime number is 5/6.

The total number of possible outcomes is 12 since there are 12 sections on the spinner.

Therefore, the probability of spinning an even number or a prime number is:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

Probability = 10 / 12

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:

Probability = (10 / 2) / (12 / 2)

Probability = 5 / 6

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Answer:

x + 3x = $400

the jacket cost price of Cindy nd Jill is $100 and $300 respectively

Step-by-step explanation:

The computation is shown below:

Here we assume the cindy be x

So the Jill be 3x

Now the equation is

x + 3x = $400

4x = $400

x = $100

So the Cindy jacket cost is $100

And, the Jill jacket cost would be

= 3x

= 3(100)

= $300

Hence, the jacket cost price of Cindy nd Jill is $100 and $300 respectively

The multiplication of the number 58 x 7 will be 406.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

Given numbers 58 and 7. The multiplication will be done as below:-

 58

x 7           carry - 5

___          35 + 5 = 40

406

Therefore, the multiplication of the number 58 x 7 will be 406.

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Answer:

108

Step-by-step explanation:

Given sequence,

    \(2916,972,324,---,36\)

Find the missing number in the given sequence.

Clearly here, we have a pattern in the given sequence.

\(\frac{2916}{3}=972\quad \text{and}\quad\frac{972}{3} =324\)

Therefore, \(\frac{324}{3} =108\quad \text{and}\quad \frac{108}{3} =36\)

Hence, the missing number is \(108\).

Answer:

Step-by-step explanation:

30x30 is 900

Brendan needs to purchase 45 bags of rock salt to cover the entire parking lot around his building. Each bag of rock salt covers an area of 1,500 square feet, and the total area of the parking lot is 67,500 square feet. Therefore, by dividing the total area of the parking lot by the area covered by each bag of rock salt, we can determine the number of bags needed.

To calculate the total area of the parking lot, we need to find the length and width of the shaded area in the diagram. From the diagram, we can see that the length of the shaded area is 150 feet, and the width is 450 feet. Therefore, the area of the shaded region can be calculated by multiplying the length and width:

150 ft x 450 ft = 67,500 sq ft

To determine the number of bags of rock salt needed, we divide the total area of the parking lot by the area covered by each bag of rock salt:

67,500 sq ft ÷ 1,500 sq ft per bag = 45 bags

Therefore, Brendan needs to purchase 45 bags of rock salt to cover the entire parking lot around his building

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Answer:

208

Step-by-step explanation:

4*30 = 120

(15-4) * 8 = 88

88 + 120 = 208

Answer:

208 cm

Step-by-step explanation:

Solving right side first. 8*15=120

Take out 8cm from 30. 30 - 8 = 22

22*4= 88

88 + 120 = 208

Check work I found the total area and the white rectangle.

15*30=450 which in total area

15-4=11 11 is the left/right side of the white rectangle

30-8=22 22 is the top/bottom side of the white rectangle.

22*11= 242

208+242=450

Answer: The answer is B. It is not a function because the domain(x) is repeating and if the x was not repeating it would have been a function :)

Step-by-step explanation:

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

To determine who has the best conclusion among Joe, Collin, Paulina, and Quannah, let's evaluate each statement in relation to the given grade distribution:

A. Joe said the average grade was a 75.

Since we have the grade distribution, we can calculate the average grade to verify Joe's statement. However, the distribution alone is not sufficient to determine the average grade. We would need additional information such as the exact values within each grade range. Therefore, we cannot determine if Joe's conclusion is the best based solely on the given information.

B. Collin said almost 15% made between a 91 and a 100.

Based on the given grade distribution, we can calculate the percentage of students who fall within the range of 91-100. In this case, it is 10 students out of a total of 35 students. So, the percentage is approximately 28.6%, not close to 15%. Therefore, Collin's conclusion is not accurate based on the given information.

C. Paulina said most of the class made between a 71 and an 80.

Considering the grade distribution, the largest number of students (12) falls within the range of 71-80. Thus, Paulina's conclusion aligns with the data and can be considered the best conclusion based on the given information.

D. Quannah said that most of the students understood the concepts that were not tested.

The given grade distribution does not provide information about the understanding of concepts. It solely represents the distribution of grades. Therefore, Quannah's conclusion cannot be determined based on the given information.

hence, Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.

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Answer:

x=40

y=− 17 /6

Step-by-step explanation:

Answer:

192y^8

Step-by-step explanation:

Answer:

a) AE and CD

b) AE and ED

c) AED and CDE

Answer:

14.379

Step-by-step explanation:

1. Line up from left to right

2. Make sure that the decimals are lined up

3. Add the thousandths and hundredths with 0

4. Add 3 in the tenths place

5. Add up 9 and 5 to make 14

*IF YOU DID THE STEPS RIGHT, THEN YOU SHOULD HAVE 14.379 AS YOUR ANSWER*

Answer:

9.079

+5.300

_______

14.379

Step-by-step explanation:

Just line the decimals up and add zeros for 5.3 to 5.300 because you can't do 9.079

   +5.3   because your decimal will be in the wrong spot and your answer will come out wrong

9514 1404 393

Answer:

  9 square units

Step-by-step explanation:

Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...

  A = i + b/2 - 1

where i is the number of interior points (8), and b is the number of points on the border (4).

The area of this figure is ...

  A = 8 + 4/2 -1 = 9

The area of the polygon is 9 square units.

_____

You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.

Answer: 4

Step-by-step explanation:

4 goes in both of them and is the greatest common factor

Answer:

4

Step-by-step explanation:

Write the factors of each number

\(28=1,2,4,7,14,28\\12=1,2,3,4,6,12\)

Therefore, we can see that 4 is the greatest common factor of 28 and 12

Answer:

A.

x=1/2 or 0.50

Answer:

\( \rm \displaystyle \theta = \{ {150}^{ \circ} , {240}^{ \circ} \}\)

Step-by-step explanation:

we would like to solve the following equation:

\( \displaystyle 2 \sin( \theta) \tan( \theta) = - 3\)

to do so we need to put the equation in term of a function of a angle therefore rewrite tanθ:

\( \displaystyle 2 \sin( \theta) \cdot \frac{ \sin( \theta) }{ \cos( \theta) } = - 3\)

simplify multiplication:

\( \displaystyle \frac{ 2\sin^{2} ( \theta) }{ \cos( \theta) } = - 3\)

cross multiplication:

\( \displaystyle 2\sin^{2} ( \theta) = - 3 \cos( \theta) \)

isolate -3cosθ to left hand side and change its sign:

\( \displaystyle 2\sin^{2} ( \theta) + 3 \cos( \theta) = 0\)

well we can rewrite sin²θ by applying Pythagorean theorem and that yields:

\( \rm \displaystyle 2(1 - \cos^{2} ( \theta)) + 3 \cos( \theta) = 0\)

distribute:

\( \rm \displaystyle 2 - 2\cos^{2} ( \theta) + 3 \cos( \theta) = 0\)

now notice that our equation ended up with a pattern and that is Quadratic thus by letting cosθ be x to transform the equation:

\( \rm \displaystyle 2 - 2 {x}^{2} + 3 x = 0\)

rearrange it to standard form:

\( \rm \displaystyle - 2 {x}^{2} + 3 x + 2 = 0\)

divide both sides by -1:

\( \rm \displaystyle 2 {x}^{2} - 3 x - 2 = 0\)

well we can factor the quadratic to do so rewrite -3x as -4x+x:

\( \rm \displaystyle 2 {x}^{2} - 4 x + x - 2 = 0\)

factor out 2x:

\( \rm \displaystyle 2x ({x}^{} - 2)+ x - 2 = 0\)

factor out 1:

\( \rm \displaystyle 2x ({x}^{} - 2)+ 1(x - 2 ) = 0\)

group:

\( \rm \displaystyle (2x + 1)(x - 2 ) = 0\)

by Zero Product property we obtain:

\( \rm \displaystyle \begin{cases} 2x + 1 = 0\\ x - 2 = 0 \end{cases}\)

cancel 1 from the first equation and add 2 to the e equation:

\( \rm \displaystyle \begin{cases} 2x = - 1\\ x = 2\end{cases}\)

substitute back:

\( \rm \displaystyle \begin{cases} 2 \cos( \theta) = - 1\\ \cos( \theta) = 2\end{cases}\)

since cosθ is only defined for the interval [1,-1] the second equation is false for any value of θ but we can still continue the first equation

\( \rm \displaystyle \begin{cases} 2 \cos( \theta) = - 1\\ \cos( \theta) \neq 2\end{cases}\)

divide both sides by 2:

\( \rm \displaystyle \cos( \theta) = \frac{ - 1} {2}\)

by unit circle we acquire:

\( \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} \\ \theta = {240}^{ \circ} \end{cases}\)

add period of 2nπ:

\( \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} + 2n\pi\\ \theta = {240}^{ \circ} + 2n\pi \end{cases}\)

for the interval [0,2π) θ is only defined when n is 0 Thus:

\( \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} + 2(0)\pi\\ \theta = {240}^{ \circ} + 2(0)\pi \end{cases}\)

simplify:

\( \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} \\ \theta = {240}^{ \circ} \end{cases}\)

hence,

θ is equal to 150° and 240°