is 0.3 pi a rational number or a irrational number

Answer:

(-1/2 , -3/2)

Step-by-step explanation:

midpoint formula:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

(-2 + 1) / 2 , (-8 + 5) / 2

P: (-1/2 , -3/2)

Answer:

AC = 127,26 f    distance from home plate to second base

Step-by-step explanation:

Let call  A , B , C  Home plate,  first base and second base respectively

These three point form a right triangle with legs ( AB  = BC = 90 feet)

we have an isosceles triangle with a right angle and two angles of 45⁰

So we need to compute distance AC (hypotenuse)

AC²  =  AB² + BC²    ⇒  AC²  = 2AB²   ⇒ AC = AB √2

AC = 90 * 1,414

AC = 127,26 f

Answer:

1. An odd number of factors were negative

Step-by-step explanation:

The first is true.

If an odd number of factors were negative, you have a negative result.

When you divide a negative by a negative you have a positive.

In this case when you divide the negative product by - 2 you have a positive.

The solutions to the system of equations are x=5, z=1,y=-3

What is system of equations?

Given equations:

x+y+z=3

3x+(y/3)-2z=12

-5x-6y+3z=-4

Solving by using the substitution method:

\(\begin{bmatrix}x+y+z=3\\ 3x+\left(\frac{y}{3}\right)-2z=12\\ -5x-6y+3z=-4\end{bmatrix}\)

Substitute x=3-y-z

\(\begin{bmatrix}3\left(3-y-z\right)+\frac{y}{3}-2z=12\\ -5\left(3-y-z\right)-6y+3z=-4\end{bmatrix}\)

Substitute z={8y+9}/{15}

\(\begin{bmatrix}-y+8\left(-\frac{8y+9}{15}\right)-15=-4\end{bmatrix}\)

simplify

\(\begin{bmatrix}\frac{-79y-72}{15}-15=-4\end{bmatrix}\)

Substitute y=-3

\(z=-\frac{8\left(-3\right)+9}{15}\)

z=1

For x=3-y-z

Substitute z=1,y=-3

x=3-(-3)-1

x=5

The solutions to the system of equations are:

x=5, z=1,y=-3

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When y = 100, x is approximately equal to 0.04.

If y varies inversely as x^2 and y = 16 when x = 5, we can find the values of x and y when y = 100.

To solve this problem, we can use the inverse variation formula, which states that y = k/x^2, where k is the constant of variation.

Given that y = 16 when x = 5, we can substitute these values into the formula to find the value of k.

16 = k/(5^2)
16 = k/25

To find k, we can cross multiply:
16 * 25 = k
400 = k

Now that we know the value of k, we can use it to find the value of y when x = 100.

y = k/(100^2)
y = 400/(100^2)
y = 400/10000
y = 0.04

Therefore, when y = 100, x is approximately equal to 0.04.

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Answer:

m = 5

Step-by-step explanation:

if you input the equation into M aTh wA y, you get the answer in seconds

Answer:

\( { \boxed{ \tt{f(x) = 5 \cos3x \degree}}} \\ { \green{f(x) = f(60) : x = 60}}\\ f(60) = 5 \cos(3 \times 60) \degree \\ f(60) = 5 \cos(180 \degree) \\ but \: \cos(180 \degree) = - 1\\ { \boxed{ \bf{answer : f(60) = - 5}}} \\ \\ { \underline{ \blue{becker \: jnr}}}\)

To rewrite the function f(x) = 2x^2 - 12x + 14 in vertex form, we need to complete the square.

First, we can factor out the leading coefficient of 2 from the first two terms:

f(x) = 2(x^2 - 6x) + 14

To complete the square, we need to add and subtract (b/2a)^2 inside the parentheses, where b is the coefficient of the x term and a is the coefficient of the x^2 term. In this case, b = -6 and a = 2, so:

f(x) = 2(x^2 - 6x + 9 - 9) + 14

We added and subtracted (-6/2*2)^2 = 9 inside the parentheses. Now we can simplify:

f(x) = 2((x - 3)^2 - 9) + 14

f(x) = 2(x - 3)^2 - 2

Therefore, the quadratic function f(x) = 2x^2 - 12x + 14 can be rewritten in vertex form as f(x) = 2(x - 3)^2 - 2. The vertex is at point (3,-2).

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In this scenario, multiple interactions are occurring within a very short period, each with unique dynamics and ramifications for the individuals involved.

The interactions are as follows: John's uncle called his mother to inform her of an outbreak of brucellosis at his farm, which John may have contracted while helping with a difficult labor case of a sow experiencing dystocia. His mother then contacts the hospital's doctor with this information, requesting that they screen John for brucellosis using a quick screening test called the standard tube agglutination (STA) test.

After the doctor receives the request, additional precautions are taken to prevent the spread of Brucella spp. to the lab staff. The STA test is run on John's previously collected and banked serum and CSF samples. Based on the additional history and clinical presentation, a probable diagnosis of brucellosis is made, and John begins treatment with a combination of three antibiotics that are effective against Brucella spp.

The dynamics of these interactions are centered on the shared concern for John's health and safety, and the potential for Brucella spp. to infect other hospital staff, diagnostic lab personnel, and even family members who came into contact with him.

The ramifications for the participants are numerous, from the need for additional laboratory safety precautions to the psychological effects of being diagnosed with a rare disease. Additionally, John's family will need to be informed of the diagnosis and potential risks, and his uncle's farm may face financial losses and reputational damage due to the outbreak of brucellosis.

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Complete Question:  

John has been in the hospital for three days. He is stable but not showing any significant improvement. John’s mom receives a call from her brother, who has a farm a little over 200 miles from them, where he raises pasture-reared pigs. He tells his sister that brucellosis has been diagnosed at his farm, and brucellosis can infect people. He reminds her that over the Thanksgiving holidays when they visited that John helped to pull some stillborn piglets from the birth canal of a sow experiencing a difficult labor (dystocia). Could John have brucellosis? She thanks her brother and immediately goes to find someone to give them this information.

The doctors request that the standard tube agglutination (STA) test for Brucella spp. is run on John’s previously collected and banked serum and CSF samples. The STA is a quick screening test. Currently, there is no growth on any culture plates streaked with CSF from John, but Brucella spp. are slow-growers and it is too early to expect any growth.

The request also alerts the diagnostic laboratory that samples from John may be infected with Brucella spp. and additional precautions should be observed to prevent laboratory personnel from inadvertently becoming infected.

Based on the additional history and clinical presentation, a probably diagnosis of brucellosis is made, and John begins treatment with a combination of three antibiotics demonstrated to be efficacious against Brucella spp.

:: we don't know the antibiotic. most probably common ones

Multiple interactions are occurring in a very short time frame. Discuss the dynamics of these interactions and the ramifications for the participants.

The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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Answer:

L = 12 inches

Step-by-step explanation:

Using the Pythagorean theorem:

15² - 9² = L²

L² = 144

L = 12 inches

Answer:

d = 19 cm

Step-by-step explanation:

Circumference of circle = πd

πd = 19π

 d = 19π ÷ π

 d = 19 cm

d=19 cm

Hope it helps.

Do comment if you have any query.

Answer:

95

Step-by-step explanation:

Formula -

Triangle Area - 1/2bh

Square - l x w

Triangle - 5 x 7 = 35/2 = 17.5

Since there are four triangle, we will multiply 17.5 x 4 which is equal to 70

Square  - 5 x 5 = 25

Now we add both 70 and 25 which is 95

So the total surface area is 95

Answer:

95

Step-by-step explanation:

Area of the triangles:

Area of a square:

Put them together:

I hope this helps!

Given,

the coordinates of the point is P(-4, -1) and N(1, -8).

Required

The distance between the point P and N.

The distance between the point P and N.

Hence, the distance between the points is sqrt(74).

The size of the bacterial population after 5 hours is approximately 52065.

To find the initial population at time t = 0, we can use the doubling period information.

The doubling period is the time it takes for the population to double in size. In this case, the doubling period is 1515 minutes. This means that after every 1515 minutes, the population doubles.

At time t = 80 minutes, the population was 90000. This means that between t = 0 and t = 80 minutes, the population doubled. So, the population at time t = 0 was half of 90000.

Initial population at t = 0 = 90000 / 2 = 45000.

Therefore, the initial population at time t = 0 was 45000.

Now, let's find the size of the bacterial population after 5 hours.

There are 60 minutes in an hour, so 5 hours is equal to 5 * 60 = 300 minutes.

Since the doubling period is 1515 minutes, we need to determine how many times the population doubles within 300 minutes.

Number of doubling periods = 300 / 1515 = 0.198.

This means that the population approximately doubles 0.198 times within 300 minutes.

To calculate the size of the bacterial population after 5 hours, we multiply the initial population by 2 raised to the power of the number of doubling periods:

Population after 5 hours = Initial population * (2 ^ number of doubling periods)

Population after 5 hours = 45000 * (2 ^ 0.198)

Population after 5 hours ≈ 45000 * 1.157

Population after 5 hours ≈ 52065.

Therefore, the size of the bacterial population after 5 hours is approximately 52065.

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The length of ladder for the given question is found as 20.5 feet.

For the stated question-

Here, the building is 20 feet tall, and the distance from the ground to the bottom of a ladder is 4.5 feet.

Using the Pythagoras theorem, we can determine that the hypotenuse length of a ladder is x.

By the Pythagoras theorem,

x² = 4.5² + 20²

x = √[420.25]

x = 20.5 feet

Thus, 20.5 feet is specified as the required length of ladder.

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If your average test grade from earlier examinations and your most recent test grade is equal, your average test grade will remain constant.

Therefore, if your average test grade from earlier examinations and your most recent test grade is equal, your average test grade will remain constant.

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Answer:

b

Step-by-step explanation:

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer: the scale factor is 3/4

Step-by-step explanation:

Answer:

whats the rest of the answer?

Step-by-step explanation:

Answer:

67% (rounded)

Step-by-step explanation:

Since there is 1-6,

There is 3,4,5,6 which is 4/6 chance being above 2.

2/3 = 66.6%  

Answer:1/36

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

5 - 1 = 4

5 - 5 = 0

5 - -1 = 6

I hope this helps but the answer most likely is C

Answer:

I think it's letter C ..........

Answer:

n x 2 + 3 = n x 4 + 11

Step-by-step explanation:

n x 2 ("two times a number) + 3 ("increased by three") = ("is equal to") n x 4 ("four times the same number") + 11 ("increased by eleven")

The closest allowable distance that a randomly chosen datum falls within the required 2 standard deviations of the mean is 0.95.

The likelihood that a data is within two standard deviations of the mean

By observation, the distribution depicted in the task content above is a normal distribution.

One can tell the difference between the following .

In the case of a standard normal distribution, 68% of the observations (datum) are within one standard deviation of the mean, 95% are within two standard deviations of the mean, and 99.9% are within three standard deviations of the mean.

On this note, when expressed as a percentage; the probability that the randomly selected datum falls with 2 standard deviations is; 95/100 = 0.95.

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Answer:

B. f(x)= 2x-1

Step-by-step explanation:

The -1 is the y-intercept; 2x is the slope.

Answer:

she needs atleast 8 boxes

Step-by-step explanation:

30 divided by 3.75 is 8.

The image which shows a translation is image B.

A translation refers to a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Image B shows the translation of the figure from the first quadrant to the second quadrant in the same distance in the same direction.

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Answer:

MY answer got deleted but its B

Step-by-step explanation:

trust me, this isnt incomplete

For any positive integer n, the theorem states that the integer 8^n + 13 is divisible by 7. This means that when we raise 8 to any positive power and add 13, the resulting number will always be divisible by 7.

To understand why 8^n + 13 is divisible by 7 for any positive integer n, we can use the concept of modular arithmetic. Modular arithmetic deals with remainders when dividing numbers. In this case, we are interested in divisibility by 7.

Let's examine the pattern when we raise 8 to different powers and add 13:

- For n = 1: 8^1 + 13 = 8 + 13 = 21, which is divisible by 7.

- For n = 2: 8^2 + 13 = 64 + 13 = 77, which is divisible by 7.

- For n = 3: 8^3 + 13 = 512 + 13 = 525, which is divisible by 7.

We can observe that for each value of n, 8^n + 13 results in a number that is divisible by 7. This pattern continues for any positive integer n.

To provide a more formal explanation, we can use modular arithmetic notation. The statement can be expressed as: 8^n + 13 ≡ 0 (mod 7). This notation means that 8^n + 13 leaves a remainder of 0 when divided by 7, or in other words, it is divisible by 7.

This theorem can be proven using mathematical induction, where we show that the statement holds for n = 1, and assuming it holds for a particular value of n, we prove that it also holds for n + 1. The proof involves manipulating the expression 8^n + 13 using the properties of modular arithmetic.

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Complete question:

Main theorem. Assume that n is any positive integer. Then the integer \(8^{n}\)+13 is divisible by 7.

Answer:

45cm2

Step-by-step explanation:

10x7(base x height)=70

70/2=45