is -3/4 rational or irrational?
is the square root of 2 rational or irrational?
is 2π rational or irrational?
is 3.75 rational or irrational?
is 2 1/8 rational or irrational?

The form of association that would be found in the variables would be:

As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.

The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.

As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.

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The answer is 2×1+7×0.1+6×0.01.

The digit to the left is 2 in the ones column. You multiply 2 by 1.

The digit in the middle is 7 in the tenths column. You multiply 7 by 0.1.

The digit to the right is 6 in the hundredths column. You multiply 6 by 0.01.

When adding this all up, you get 2.76.

Answer:

Ecological Succession

When a volcano creates a brand new island of rock and then plants start to grow there is an example of ...

Primary Succession

Step-by-step explanation:

Ecological succession describes the ecological change in structure of a community of different species, or ecosystem.  There are three main types of ecological succession.  The first type is primary succession, followed by secondary succession, and then cyclic succession.  Primary succession is the first formation of plants without soils with the presence of magma and water.  Secondary succession takes place with the destruction of primary succession by fire, for example.  Cyclic succession is the change of the ecosystem on a cyclic basis depending on time of the year.

Answer:

The answer would be secondary succession :)

Step-by-step explanation:

the smallest integer n such that the group has a faithful operation on a set of order n: is  (a) D4

What is direct product of groups?

The direct product, often written as G x H, is an operation used in group theory, a branch of mathematics, to create a new group from two existing ones. This operation, one of several crucial direct product concepts in mathematics, is the group-theoretic equivalent of the Cartesian product of sets.

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The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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Answer:

one and four fifths 1 4/5-

Step-by-step explanation:

Answer:

Approx 8.47 \(m^2\)

Step-by-step explanation:

First, find the area of the entire figure. Which can be found by multiplying the two sides of the square by each other=  \(6*6=36m^2\)

Now, ignore the square and just focus on the pentagon and finding the area of that. The formula for the area of a pentagon is \(A=1/2Apothem*Perimeter\)

In order to find the apothem, you can make a mini triangle and use trig (Tangent) to find the height (apothem) of the triangle. Then, you take the side length of the base of the pentagon which is 4 and then you multiply it by the number of sides (5) to get 20. Then, by plugging it into our formula, you use the apothem*10 (divided by 2) and you get the area, and then you just subtract that from 36.

Answer:

your answer will be Option D

Step-by-step explanation:

log 10

Answer:

Angle 3 = 95° (vertically opposite angles)

Angle 2 and 4 = 180 - 95

= 85° (adjacent angles on straight line)

Angle 5 = 180 - 144

= 36° (adjacent angles on straight line)

Angle 6 = 180 - angle 3 - angle 5

= 180 - 95 - 36

= 49° (sum of angles in triangle=180)

Angle 1 = 180 - 90 - angle 6

= 180 - 90 - 49

= 41° (sum of angles in triangle=180)

Angle 7 = 180 - 38 - angle 5

= 180 - 38 - 36

= 106° (sum of angles in triangle=180)

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

Answer:

The anwser to your question would be negative 23 (-23)

The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Answer: The third one or C

Step-by-step explanation: That is the correct distance formula.

Answer:

the last equation.

Step-by-step explanation:

you would subtract the x values, square them, and add it to the subtracted and squared y values. then take the square root of the remaining value.

Answer:B

Step-by-step explanation:

Answer:

Lanier Lanier mean a stright line

a straight one.........................................................

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

Answer:

Step-by-step explanation:

We have to follow these rules:

+/+ = +

-/- = +

+/- = -

-/+ = -

so

positive numbers:

+2/+3 ; -2/-3 ; -1/-3 ; +1/+3

negative numbers:

+2/-3 ; -2/+3 ; -1/+3 ; +1/-3

Answer:

9,027.83

100 times smaller

Step-by-step explanation:

Given 184.36, the place value of 8 in the number is 8 tens i.e 8* 10 = 80

The place value of 8 in 9,027.83 is 8 tenth i.e 8* 1/10

8* 1/10 = 8/10

8/10 = 0.8

Hence the number that has the smaller value of 8 is 9,027.83.

To get how many times smaller the number is, we will take the ratio of 80 to 0.8 as shown:

\(= \frac{80}{0.8}\\ \\= 80 \div 0.8\\\\= 80 \div \frac{8}{10} \\\\\)

\(= 80 * \frac{10}{8}\\ \\= \frac{800}{8}\\ \\= 100\)

This means that the number 0.8 is 100 times smaller than 80

Answer:

9cm

Step-by-step explanation:if im wrong sorry

Answer:

19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

First, insert the numbers at the variables, so 7-3(-4).  So, because of PEMDAS, you multiply first, so 3(-4)=-12. 7-(-12)=19.

(hope this helps!!)

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

the surface area of the rectangular prism is 572cm².

Step-by-step explanation:

The surface area of a rectangular prism can be calculated using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values you provided, we get:

2 * 4cm * 15cm + 2 * 4cm * 14cm + 2 * 15cm * 14cm = 572 cm²

So the surface area of the rectangular prism is 572 square centimeters.

Answer:

answer D

Step-by-step explanation:

V=L*W*H=1 ==> L=1,W=1,H=1

A:

L-> L+2=1+2=3

W -> W+2 = 1+2=3

H -> H+2=1+2=3

V=3*3*3=27 not the doubled of the volume's cube

A is false

B:

H -> H+2=1+2=3

V=1*1*3=3 not the doubled of the volume's cube

B is false

C:

H -> 2*H=2*1=2

L -> 2*L=2*1=2

W -> 2*W = 2*1=2

V=2*2*2=8 not the doubled of the volume's cube

C is false

D:

H-> H*2=1*2=2

L=1

W=1

V=1*1*2=2 is the doubled of the volume's cube

D is true

Answer: \(g(-2)=2a\)

Step-by-step explanation:

\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)

The function g(-2) from the given functions is 2a.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(-2)=a and (f·g)(-2)=2a².

Here, (f·g)(-2)=2a²

f(-2)·g(-2)=2a²

a·g(-2)=2a²

g(-2)=2a²/a

g(-2)=2a

Therefore, the function g(-2) is 2a.

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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For the stated quadratic function the parabola opens up and is minimum.

The standard equation of parabola is -

For the stated equation;

y = x² + 6x -5

a = 1 > 0

Thus, graph opens upward and function is minimum.

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The complete question is-

Given the quadratic function, state whether the parabola opens up or down, and whether it has a maximum or minimum. y

y = x² + 6x -5

Answer:

I will help you okay????

Answer:

zeroay horizontal stretch vertical shrink

Step-by-step explanation:

1+1=2