Is the number
Pi 9/25 irrational or rational

Based on the Pythagorean theorem, a. Since [d(A, B)]²+ [d(A, C)]²= [d(B, C)]², it is a right triangle.

The Pythagorean theorem states that the square of the length of the longest side of a right triangle is equal to the sum of the squares of the lengths of the other two smaller sides of the right triangle.

Given the following:

A(3, -1),

B(5, -8),

C(-4, -3)

Using the distance formula, \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\), find AB, BC, and AC.

AB = √[(5−3)² + (−8−(−1))²]

AB = √(4 + 49)

AB = √53 units

BC = √[(5−(−4))² + (−8−(−3))²]

BC = √(81 + 25)

BC = √106 units

AC = √[(3−(−4))² + (−1−(−3))²]

AC = √(49 + 4)

AC = √53 units

Applying the Pythagorean theorem, we have:

AB² + AC² = BC²

(√53)² + (√53)² = (√106)²

53 + 53 = 106

106 = 106

Thus, the triangle is a right triangle.

Therefore, we can conclude that, based on the Pythagorean theorem, a. Since [d(A, B)]²+ [d(A, C)]²= [d(B, C)]², it is a right triangle.

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Answer:

19 boxes, but only 18 of them will be completely full

Step-by-step explanation:

Divide 75 by 4 to see how many boxes you can completely fill. You get 18 and 3/4, so there will be 18 boxes of four muffins (completely full), and one box with 3 muffins in it.

Hopefully this helps - let me know if you have any questions!

Answer:

y = 45

Step-by-step explanation:

y = 9x

input = 5

y = 9(5)

9(5) = 45

y = 45

The volume of the solid is 16.75 unit³ in the given line x+2y=8 intercseting the x-axis, the y-axis.

What is volumes of Solids?

We shall encounter several solids and their corresponding volumes when discussing the concept of the volume of combination of solids. As is common knowledge, the surface areas and volumes of all three-dimensional shapes depend on their dimensions. As we can see in reality, numerous shapes are created by fusing a variety of shapes. For instance, the combination of a cone and cylinder shapes creates a tent. Similar to how a cone and a hemisphere combine to form an ice cream cone. As a result, the volume of the solids combined will equal the total of the volumes of the individual solids.

The line  x+2y=8.

y = (8-x)/2

Volume will be V = π/2 ∫(r²) dr

So we have 1/3 π * r² * h

Here h = 8, r=2.

So V = 1/3 π * r² * h = 1/3 π * 2² * 8

V = 16.75 unit³

Hence ,the volume of the solid is 16.75 unit³

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Answer:

Irrational

Step-by-step explanation:

Not repeating

Answer:

.36

Step-by-step explanation:

To find the decay factor

y = a(1-b)^x

b = 1-rate of decrease

   = 1-64%

   = 1-.64

   = .36

Answer:

yes .

Step-by-step explanation:

The approximate percentage error on the weight of the beaker is 5%

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Error = Actual value - estimated value =

Actual value = 82g, Estimated value = 78g

Error = 82 - 78 which is 4

percent error = error/estimated x 100%

percent error = 4/78 x 100 which is 5%

In conclusion the percent error is 5%

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Answer:

Step-by-step explanation:

Domain is x-values the graph can have

  x = [-3,22]

range is the y values the graph includes

   range-=  [-3,+2]

The sum $a b c$ is 11760 if the ratio of the areas of two squares is  \($\frac{32}{63}$\).

Let the side length of the first square be x and the side length of the second square be y. Then we have:

\(\frac{Area of first square}{Area of second square} = \frac{x^2}{y^2} = \frac{32}{63}\)

By cross multiplying, we get:

63 x² = 32 y²

And then by rearranging:

\(\frac{x}{y} = \frac{4\sqrt{7} }{9}\)

Now, rationalizing the denominator, we get:

\(\frac{x}{y} = \frac{4\sqrt{7} }{9} . \frac{\sqrt{7} }{\sqrt{7} } = \frac{28\sqrt{7} }{63}\)

Thus, a.b.c = 28.7.63 = 11760.

Therefore, the value of the sum $a b c$ is 11760.

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The scale factor was applied to the first diamond is 2.5

From the question, we have the following parameters that can be used in our computation:

The diamonds

The scale factor is calclated as

scale factor = Diamond 2/Diamond 1

Substitute the known values in the above equation, so, we have the following representation

scale factor = 1.5/0.6

Evaluate

scale factor = 2.5

Hnce, the scale factor is 2.5

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Answer:

x = -1

Step-by-step explanation:

distribute:

3x + 3 = -2 (x -1) -4

distribute:

3x + 3 = -2x + 2 - 4

calculate difference:

3x + 3 = -2x - 2

move variable to left and change sign

3x + 2x + 3 = -2

3x + 2x = 2 - 3

collect like terms

5x = -2 - 3

5x = -5

x = -1

Answer:

x = -1

Step-by-step explanation:

3 ( x + 1 ) = -2 ( x - 1 ) - 4

distibute

3x + 3 = -2x + 2 - 4

simplify

3x + 3 = -2x - 2

inverse operations

3x + 3 = -2x - 2

+2x        +2x

5x + 3 = -2

    -3      -3

5x = -5

/5     /5

x = -1

Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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Answer:

6.1*10^-6

Step-by-step explanation:

Acellus

It is true that Pooled variance is used for an inference about two means for two small independent samples when we assume normal population with equal variance.

Pooled variance is a statistical method used to estimate the common variance of two small independent samples when the population variances are assumed to be equal.

The pooled variance is calculated by taking the weighted average of the variances of the two samples.

This method is often used in inferential statistics to make inferences about the means of the two populations from which the samples were drawn.

The pooled variance is used to estimate the variance of the difference between the means of the two populations, which is used to calculate the standard error and the t-statistic for testing the difference between the means. Therefore, The statement is true.

so, It is true that Pooled variance is used for an inference about two means for two small independent samples when we assume normal population with equal variance.

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The option that best explains the relationship between altitude and the boiling point is; A. There is a strong negative correlation between altitude and water's boiling point.​

In correlation coefficient, we know that a positive correlation occurs when both x and y values increase at the same time while negative correlation occurs when y value decreases as x value increases.

Now, we see from the given graph that y-values are decreasing with increasing x-values and as such this is a negative correlation.

Now, we want to determine whether it is a strong or weak correlation.

The scatterplot is close to being a straight line and as such the correlation coefficient will be close to - 1 which makes it a strong negative correlation.

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Answer: A is correct

Step-by-step explanation:

took the test

Answer: 50%

Step-by-step explanation: There is an equal chance of both events occurring so there is a half chance for it to occur or no.

Answer:

t is a: Transversal

<1 and <7 are: Exterior Angles

<2 and<6 are: Corresponding Angles

<4 and <5 are: Alternate Interior Angles

a and b are: Parallel Lines

<4 and <6 are: Consecutive Interior Angles

<2 and <7 are: Alternate Exterior Angles

<5 and <6 are: Interior Angles

I hope this helps!

Answer:

F(x) = (x+2)(-x+3)(x-2)^2. I think answer should be like this

Answer:

Siiiiii

Step-by-step explanation:

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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Answer:

x^4 -y^4 +6x^2y +9y^2

Step-by-step explanation:

Given the word problem, we can deduce the following information:

1. The ratio of the two complementary angles is 3:7.

To determine the measures of both angles, we must note first that complementary angles are two angles whose measures add up to 90°. So our equation would be:

We simplify the equation above:

We plug in x=9 into 3x to get the first angle:

Angle 1 = 3x = 3(9) = 27

Then, we plug in x=9 into 7x to get Angle 2:

Angle 2= 7x=7(9)=63

Therefore, the measures of both angles are 27° and 63°.

5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is

5/6 -1/9 =15 /18 -2/18 =13 /18.

As given,

5/ 6 - 1/9 =?/? -?/? =?/?

Convert the given terms into like terms

Least common multiple of (6,9)=18

Value of each ( ?/?)

(5/6 ) × ( 3/3) -(1/9) × (2/2)

= 15 /18 - 2/18

= 13 /18

Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to

5/6 -1/9 = 15 /18 -2/18 = 13/18.

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Answer: 7.35pi meters

Step-by-step explanation:

Formula to find the volume of a cone is V = (1/3) x (pi) x (r^2) x (h)

diameter = 2r

4.2 = 2r -> r = 2.1 meters

plug in the height and radius in the formula

V = (1/3) x pi x (2.1)^2 x (5)

V = 7.35pi meters

Answer:

7.35 pi meters cubed

Step-by-step explanation:

The formula for the volume of a cone is V=πr^2*h/3. You substitute the values you know and then solve as normal, but don't get rid of the pi. You are left with 7.35 pi meters cubed.

In a supermartingale , the current variable (\(X_{t}\)) is an overestimate for the upcoming \(X_{t + 1}\).

A sequence of random variable (\(X_{t}\)) adapted to a filtration (\(F_{t}\)) is a martingale (with respect to (\(F_{t}\))) if  all the following holds for all t :

(i)   E|\(X_{t\)| < ∞

(ii) E[ \(X_{t + 1}\)|\(F_{t}\)] = \(X_{t}\)

If instead of condition (ii) we have E [\(X_{t + 1}\)|\(F_{t}\)]  ≥ \(X_{t}\) for all t , we then say that (\(X_{t}\))  is submartingale with respect to (\(F_{t}\)).

If instead of condition (ii) we have E [ \(X_{t + 1}\) | \(F_{t}\)] ≤\(X_{t}\) for all t , we then say that (\(X_{t}\)) is supermartingale with respect to (\(F_{t}\)).

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Answer:

y=2x+4

Step-by-step explanation:

From(0,4)

Equation in slope intercept form