A line has a slope of Negative one-half and a y-intercept of –2.

Answer:

37.68

Step-by-step explanation:

C=2[tex]\pi[/tex]r

C=2*6*3.14

C=12*3.14

C=37.68

Answer:

C = 2 π r

Step-by-step explanation:

2*3.14*6=37.69911=37.7

the answer is 37.7

Answer:

A= 1/2 Bh

1/2 (12)(10.4)

A=62.4

V= 62.4x19= 1185.6

Final answer is 1185.6

Step-by-step explanation:

You first need to find the area of the Prism than multiply with the height.

The solution is, Correct option D) 1,185.6 inches cubed, is the volume of the triangular prism.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

given that,

A triangular prism. The triangular base has a base of 12 inches and height of 10.4 inches. The height of the prism is 19 inches.

We need to find  the volume of the triangular prism .

Let's find out:

We have following parameters :

b = 12

h = 10.4

l = 19

now, we know,

A= 1/2 Bh

so, we have,

A = 1/2 (12)(10.4)

A=62.4

We know that , Volume of triangular prism is :

⇒ V = 1/2 * bh* l

       = A * l

so, we get,

V= 62.4x19

  = 1185.6

Final answer is 1185.6

Hence, The solution is, Correct option D) 1,185.6 inches cubed, is the volume of the triangular prism.

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Para llenar la piscina en 3 horas, serían necesarios 8 grifos. Se aplica la regla de tres inversa: si aumentamos los grifos, disminuirá el tiempo requerido.

Esta pregunta se resuelve aplicando la regla de tres inversa. Si cuatro grifos tardan seis horas en llenar la piscina, para llenarla en la mitad de tiempo (3 horas), serán necesarios el doble de grifos.

La regla de tres inversa señala que si aumentamos la cantidad de grifos, disminuirá el tiempo requerido para llenar la piscina y viceversa. En este caso, como queremos reducir el tiempo a la mitad, necesitaremos el doble de grifos. Entonces, necesitaremos 4 * 2 = 8 grifos para llenar la piscina en 3 horas.

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V= (3.14)x(2²)x(24)= 301.592 ft³

Answer:

96π ft^3 or  301.59 ft^3 to the nearest hundredth.

Step-by-step explanation:

Volume =  π r^2 L         (r = radius L = length).

=  π * 2^2 * 24

= 96π ft^3.

Answer:

I =2000(0.075)4= $600

Step-by-step explanation:

Answer:

there are infinite many solutions.

Step-by-step explanation:

i have taken this before

Answer:

D

Step-by-step explanation:

Exact answer = 64 - 16pi

Approximate answer = 13.7345175425633

Units for the area are in square inches.

==============================================================

Work Shown:

The radius of each circle is 2 inches. Double this value to get the diameter to be 4 inches.

Two circles along the top have their diameters combine to 8 inches total, which is the side length of the square.

The area of the entire square, before we subtract off the circles, is 8^2 = 64 square inches.

Let A = 64

The area of one circle is pi*r^2 = pi*2^2 = 4pi square inches. Four circles combine to an area of 4*4pi = 16pi square inches.

Let B = 16pi

Subtract A and B to get the area of the shaded region, which is the leftover area after subtracting off the four circles

A-B = 64-16pi

To get the approximate answer, use a calculator

64-16pi = 13.7345175425633

Answer:

7/9

Step-by-step explanation:

There are 9/9 in one whole, so if we have 2/9 now, we need another 7/9 to make 9/9: 2/9 + 7/9 = 9/9 = 1

Answer:

7/9

Step-by-step explanation:

1-2/9=7/9

Answer:

50.625

Step-by-step explanation:

1) 10/2=5

10+5= 15

2) 15/2 = 7.5

15+7.5 = 22.5

3) 22.5/2 = 11.25

22.5+11.25= 33.75

4) Answer:  33.75/2 = 16.875

33.75+16.875 = 50.625

Answer: 12,045 boxes

Step-by-step explanation:

120,450 divided by 10

= 12,045

Answer:

12,045

Step-by-step explanation

If you need to ship 120,450 soda divide that by 10 (the number of cans in a box) and that gives you 12,045.

Answer:

Volume: [tex]\frac{2}{3}\pi r^3[/tex]

Ratio: [tex]\frac{2}{9}r[/tex]

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

[tex]V=\frac{4}{3}\pi r^3[/tex]

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

[tex]V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3[/tex]

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

[tex]A=4 \pi r^2[/tex]

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so [tex]2\pi r^2[/tex]. Moreover, we have to add the surface of the base, which is [tex]\pi r^2[/tex]. So the total surface area of the hemispherical tank is

[tex]A'=2\pi r^2 + \pi r^2 = 3 \pi r^2[/tex]

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

[tex]\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r[/tex]

Answer:

Wheres the diagram?

Step-by-step explanation:

A Venn Diagram is commonly used in probability theory to visualize and calculate probabilities. The probability of two conditions being met can be found by taking a sum of the probabilities of both conditions and their intersection, and subtracting the probabilities of each condition occurring separately. A Tree Diagram is another tool used to easily represent and calculate probabilities of multiple outcomes.

The use of a Venn Diagram is a common strategy in probability theory to help visualize and calculate probabilities effectively. To begin solving these problems, label each piece of the Venn Diagram clearly and note the probability or frequency of each part. Start by labeling the overlapping section first.

In the case of calculating the probability that a student belongs to a club and works part-time, identify the overlapping section of the Venn Diagram that represents both these conditions. The probability of this will be the sum of the probabilities of the student belonging to a club, working part-time, and both these conditions minus the probabilities of each of these conditions occurring separately.

Another tool that can be useful for visualizing and calculating probabilities is a Tree Diagram. A tree diagram uses branches to represent the possible outcomes of a scenario, which makes it easier to visually work through and solve probability problems. For instance, to visualize the probability of a man developing cancer in his lifetime and having at least one false-positive test, a tree diagram could be used where one branch represents the man developing cancer and the other branch represents the man having a false-positive.

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Answer:

x < -6

Step-by-step explanation:

-2x -4 > 8

-2x +4 >+4

-2x >12

/-2 > /-2

x < -6

remember to flip the inequality sign whenever you divide by a negative number :)

Answer:

3 miles

Step-by-step explanation:

The circumference of a circle can be found using:

c=[tex]\pi d[/tex]

We know the circumference is [tex]3\pi[/tex], so we can substitute that in for c

[tex]3\pi[/tex]=[tex]\pi d[/tex]

We want to find the diameter. To do this, we need to get d by itself. It is being multiplied by pi. To undo this, divide both sides by pi. This will cancel pi, and leave d by itself.

[tex]3\pi /\pi =\pi d/ \pi[/tex]

3=d

So, the diameter is 3 miles

Answer:

Diameter is 3

Step-by-step explanation:

C=2πr

3π = 2πr

3π / 2π = r  (Divide each side by 2π)

3/2 = r   (Simplify π)

3/2 *2 = d  (d = 2r)

d = 6/2 = 3

Answer:

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is 6

With m∠x as the reference angle,

the adjacent side of the right angle triangle is the unknown side.

the opposite side of the right angle triangle is 4

To determine m∠x, we would apply

the sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin x = 4/6 = 0.67

x = Sin^-1(0.67)

x = 42.1° to the nearest tenth.

Anwer:12

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

1 dozen= 12

12x2=24

Answer:

1/30

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

(simplified)

Answer:

£6000

Step-by-step explanation:

Given:

Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage.

Question asked:

How much money did the arena make from Phillip Cage's concert?

Solution:

Ratio Arena and Philip cage in which money distributed = 2 : 5

Let ratio be [tex]x[/tex]

Money earned by Arena = [tex]2x[/tex]

Money earned by Phillip Cage = [tex]5x[/tex]

Phillip Cage played total for =  £21,000

Money earned by Arena + Money earned by Phillip Cage = £21,000

[tex]2x+5x=21000\\7x=21000\\[/tex]

Dividing both sides by 7

[tex]x=3000[/tex]

Money earned by Arena = [tex]2x[/tex] = [tex]2\times3000=6000[/tex]

Thus, Arena made  £6000 from Phillip Cage's concert.

Answer:

0.02 (rational)

2 (rational)

Square root of 2 (irrational)

Square root 1/2 (irrational)

Step-by-step explanation:

Rational numbers are numbers that can be in form of a/b such that a and b are not zeros. In other words, a and b are integers ranging from 1 to infinity.

Conversely, irrational numbers are numbers that are endless and are non repeating digits after decimal point.

Thus, from the questions above;

[tex]0.02 = \frac{2}{100} = rational \: number[/tex]

[tex]2 = \frac{2}{1} = rational \: number[/tex]

[tex] \sqrt{2} = 1.41421356 = irrational \: number[/tex]

[tex] \sqrt{ \frac{1}{2} } = 0.70710678 = irrational \: number[/tex]

Answer:

0.256 or 0.26

Step-by-step explanation:

The common ration is being multiply by 0.4

[tex]8y - 72 = 8 \times y - 8 \times 9 = \\ = 8 \times (y - 9) = 8(y - 9)[/tex]

Answer:

m = 3/4

Step-by-step explanation:

12.6 + 4m = 9.6 + 8m

4m - 8m = 9.6 - 12.6

- 4m = - 3

- m = - 3/4

m = 3/4

Answer:

slope = 5/2

Step-by-step explanation:

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 5/2x -3

The slope is 5/2 and the y intercept is -3

Answer:

Slope: 5/2

Y Intercept: -3

Step-by-step explanation:

Answer:D.y=94x

Step-by-step explanation:

Final answer:

The relationship between time and distance for the cheetah can be modeled by y = 94x.

Explanation:

The relationship between the time, x, and distance, y, for the cheetah can be modeled by the equation y = 94x. This equation corresponds to the pattern shown in the table where the distance traveled increases by 470 feet as the time increases by 5 seconds.

Answer:

P(X<65)=0.9452

Step-by-step explanation:

This is a normal distribution problem.

-Given the mean age is 53 years and the standard deviation is 75, the probability of dying before age 65 is calculated as:

[tex]z=\frac{\bar x-\mu}{\sigma}\\\\\\=\frac{65-53}{7.5}\\\\=1.60[/tex]

#We check the value of z=1.60 on the z table:

[tex]P(X<65)=0.5+0.4452\\\\=0.9452[/tex]

Hence, the probability of dying before 65 is 0.9452

the probability that the person will die before the age of 65 is 0.9452.

[tex]P(X<65 ) = P[(X- \mu ) \div \sigma < (65 -53) \div 7.5][/tex]

= P(z <1.6 )

Now here we Using z table

So,  

= 0.9452

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Answer:

The above definition of Population & Community of species is correct.

Step-by-step explanation:

Population is the group of organisms living together in same geographical area, at a point of time. Community is the group of all organisms living together in same geographical area, at a point of time.

Population is the smaller group of interbreeding individuals of same species, Community is a bigger group of different species sharing same geographical area.

Eg : Lions in a particular forest can be defined as 'population' ; & all the organisms in a particular forest can be defined as 'community'.

Answer:

Yes, it is possible

Step-by-step explanation:

In a triangle, the length of the longest side of the triangle cannot be larger than the sum of the lenghts of the two shortest sides.

In formula, this means that:

[tex]c\leq a+b[/tex]

where

c is the length of the longest side

a, b are the lengths of the shortest side

In this problem, we want to build a triangle using 3 pieces of lumber, each of length:

a = 3 ft

b = 7 ft

c = 8 ft

We can verify that the length of the longest piece of lumber is less than the sum of the lengths of the other two sides, so:

[tex]8\leq 3+7 = 10[/tex]

Therefore, yes, it is possible to build a closed triangular pen.

The question is about the Triangle Inequality Theorem in Geometry. It asks if a triangle can be formed with given lengths of 3 ft, 7 ft, and 8 ft. By verifying with the theorem, we can confirm that a triangle can be formed.

The subject of the question is determining if a triangle can be formed with three given lengths. This topic belongs to Geometry, a branch of Mathematics. To form a triangle, the lengths must satisfy the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. In this case, we can plug our given lengths into this theorem:

All these inequalities hold true, so yes, Mrs. Barto can build a closed triangular pen for her pet rabbit with the three pieces of lumber.

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To solve the equation -3/13 - 2/5, find the common denominator, convert both fractions and then subtract them. The answer is -41/65.

The question asks to solve the equation -3/13 - 2/5. To solve this, we need to find a common denominator for the fractions, which in this case is 65. We then convert each fraction to have this common denominator and subtract them.

Here is the step-by-step solution:

The answer to the equation is -41/65.

The unknown number was found from the equation to be -30.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the unknown number. Two thirds of a number is negative Twenty, hence:

(2/3)x = -20

Multiply both sides of the equation by 3/2, hence:

(2/3)x * 3/2 = -20 * 3/2

x = -30

The unknown number was found from the equation to be -30.

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