1. In your own words please describe a Relations vs. Function

2. please describe the mathematical order of operation(photo attached)

Hey there! I'm happy to help!

To find the volume of a cylinder, you multiply the base by the height and then divide by three. The volume of a cone is the same as the volume of a cylinder with the same dimensions divided by three.

So, since a cone's volume is 1/3 of that of a cylinder, we just divide 72 by 3!

72/3=24

Therefore, the volume of the cone is 24 feet cubed.

Have a wonderful day! :D

Answer: its 24.

Step-by-step explanation:

Answer:

6 is the best estimate.

Step-by-step explanation:

(90/7) / (1 & 3/4) == (90/7) / (7/4) == (90/7) * (4/7) == 360/49 > 7.

Choose 6 as your best approximation.

Answer: while solving an equation involving fractions we eliminate the fraction by multiplying the LCD of all the denominators present in the equation . LCD means Least common Denominator so for this question when we try to eliminate the denominator we first try to find the LCM (2,4,6) because that will give us the LCD.

2=2

4=2·2

6=2·3

LCM = 2·2·3

LCM = 12

It means we need to multiply the 12 to each term of equation to eliminate the fractions before solving.

12

To eliminate the fractions, multiply the equation by the 12

A equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

[tex]x-\frac{5}{4}+2x=\frac{5}{6}+x[/tex]

To eliminate the fractions, multiply by the L.C.M of the denominator of the fraction i.e. 12 to get:

12x - 15 + 24x = 10 + 12x

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

x = 1

Step-by-step explanation:

Using the rules of logarithms

log [tex]x^{n}[/tex] ⇔ n log x

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

3[tex]log_{2}[/tex] (2x) = 3

[tex]log_{2}[/tex] (2x)³ = 3

(2x)³ = 2³

8x³ = 8 ( divide both sides by 8 )

x³ = 1 ( take the cube root of both sides )

x = 1

Answer:

x=1 is the correct answer

Step-by-step explanation:

got it right on edge!!!!

Answer:

(g + f) (x) = (2^x + x – 3)^1/2

Step-by-step explanation:

The following data were obtained from the question:

f(x) = 2^x/2

g(x) = √(x – 3)

(g + f) (x) =..?

(g + f) (x) can be obtained as follow:

(g + f) (x) = √(x – 3) + 2^x/2

(g + f) (x) = (x – 3)^1/2 + 2^x/2

(g + f) (x) = (x – 3)^1/2 + (2^x)^1/2

(g + f) (x) = (x – 3 + 2^x)^1/2

Rearrange

(g + f) (x) = (2^x + x – 3)^1/2

Answer: x=10

Step-by-step explanation:

We can use the pythagorean theorem here: a^2 + b^2 = c^2, where c is the hypotenuse.

The values for c and one of the legs are already given, so we can plug them into the equation to find the length of the other leg x:

(square root of 200)^2 + x^2 = (square root of 300)^2

200 + x^2 = 300

x^2 = 100

x = 10

Answer:

Step-by-step explanation

square root  300 square - square root 200 square = x square

300 - 200 = x square

100 = x square

square root 100 = x

10= x

Answer:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Answer:

Two remote interior angles.

Answer:

2.5 m/s^2

Step-by-step explanation:

Answer:

2.5 m/s²

Step-by-step explanation:

First, convert to SI units.

90 km/h × (1000 m/km) × (1 h / 3600 s) = 25 m/s

a = Δv / Δt

a = (25 m/s − 0 m/s) / 10 s

a = 2.5 m/s²

Answer:

185

Step-by-step explanation:

All you have to do is multiply 200 by 92.5/100 (because it is 92.5%). This gives you 185.

Hope this helps!

Answer:

185

We know 92.5% of 100 is 92.5%, so 92.5 of 200 is just 92.5×2.

Answer:

45

Step-by-step explanation:

Given the legs of the right triangle.

Then using Pythagoras' identity

The square oh the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 36² + 27² = 1296 + 729 = 2025 ( take the square root of both sides )

h = [tex]\sqrt{2025}[/tex] = 45

Answer:

45

Step-by-step explanation:

When you are given the opposite and adjacent sides of a triangle, the easiest way to find the hypotenuse is through the Pythagorean theorem!

The formula is a^2 + b^2= c^2

Plugging in the values, your formula would now look like 36^2 + 27^2= c^2

Once you do square your values and add them up, the result would end up being 2025, but since that is squared, to find the actual value of c you have to take the square root of this number, this will result in 45.

Answer:

x = -2 and y = 3

Step-by-step explanation:

In linear combination method we try one of the variables from bopth of equations by

first making the variable equal in vlaue

then either subtracting or adding the two equation as required to eliminate the variable.

_____________________________________________

7x-2y=-20   equation 1

and 9x+4y=-6   equation 2

we see that y has

has value -2 and +4

4 = 2*2

thus, if we multiply equation1 with 2 we will give value for variable y as 4y and hence y can be eliminated easily.

7x-2y=-20  

multiplying the LHS and RHS with 2

2(7x-2y)=-20 *2

=> 14x - 4y = -40   eqaution 3

now that we have got 4y

lets add equation 2 and equation 3

  9x +4y=   -6

+14x - 4y = -40

________________________________

=> 23x + 0 =  -46

x = -46/23 = -2

Thus, x = -2

substituitinng x = -2 in 7x-2y=-20

7*-2 -2y=-20

=> -14 -2y = -20

=> -2y = -20+14 = -6

=> y = -6/-2 = 3

Thus, y = 3

solution is x = -2 and y = 3

Answer:

I would say the answer is C.

Answer:

Option (C)

Step-by-step explanation:

Domain of any graph is defined by the x-values or the input values of a function.

Similarly, y-values on the graph of a function define the Range.

In the graph attached, x-values varies from (-∞) to (+∞).

Therefore, Domain of the graphed function will be (-∞, ∞)

Or -∞ < x < ∞

Similarly, y-values of the graph varies from (-∞) to (1)

Therefore, range of the graphed function will be (-∞, 1).

Or -∞ < y < 1

Option (C) will be the answer.

Answer:

(3,2)

Step-by-step explanation:

Just took the test

Answer:

D

Step-by-step explanation:

Hello, This is a geometric sequence where the first term is [tex]a_1=-1[/tex].

It means that the sequence is [tex](a_n)_{n\geq 1}[/tex].

In other words, as the common ratio is 7 the sequence is defined by

[tex]a_1=-1[/tex]

[tex]a_{n+1}=a_n\cdot 7 \ \ \text{ for n }\geq 1[/tex]

For instance, we can estimate the first terms:

[tex]a_1=-1\\\\a_2=7a_1=-7\\\\a_3=7a_2=-49[/tex]

And we know that we can even find a formula for the [tex]n^{th}[/tex] term of the sequence by:

[tex]a_n=a_1\cdot 7^{n-1}=-7^{n-1}[/tex]

Now, to answer the question, the domain for n is all integers where [tex]n\geq 1[/tex].

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

1,110

Step-by-step explanation:

calculator

this is your answer..................

Answer:

15w - 10x + 30.

Step-by-step explanation:

-5(2x - 3w - 6)

= (-5 * 2x) + (-5 * -3w) + (-5 * -6)

= -10x + 15w + 30

= 15w - 10x + 30.

Hope this helps!

Answer:

Step-by-step explanation:

[tex] - 5(2x - 3w - 6)[/tex]

Multiply each term in the parentheses by -5

[tex] - 5 \times 2x - 5 \times ( - 3w) - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x - 5 \times ( - 3x) - 5 \times ( - 6)[/tex]

Multiplying two negatives equals a positive [tex]( - ) \times ( - ) = ( + )[/tex]

[tex] - 10x + 5 \times 3w - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x + 15w - 5 \times ( - 6)[/tex]

Multiply the numbers

[tex] - 10x + 15w + 30[/tex]

Hope this helps..

Best regards!!

Answer:

(1,-2)

Step-by-step explanation

y = -3x + 1

y = 2x - 4

-3x + 1 = 2x - 4

-5x + 1 = -4

-5x = -5

x = 1

y= 2(1) - 4

y = 2 - 4

y = -2

(1,-2)

Answer:

1/2

Step-by-step explanation:

Answer:

Sine angle of <ACB = 38.68°

Step-by-step explanation:

Hello,

To solve this problem, we need a good representation of the sides and the angle.

See attached document for better illustration.

Assuming it's a right angled triangle,

AC = hypothenus

AB = opposite

BC = adjacent

AC = 40

BC = 25

AB = 25

From trigonometric ratios

Sinθ = opposite/ hypothenus

Sinθ = AB / AC

Sinθ = 25 / 40

Sinθ = 0.625

θ = sin⁻¹0.625

θ = 38.68°

Sine angle of <ACB = 38.68°

Answer:

The answer is option D

Step-by-step explanation:

32m + 56mp

First factor out the HCF out

The HCF of 32and 56 is 8

So we have

8 ( 4m + 7mp)

next factor m out

We have the final answer as

Hope this helps you

Answer:

Option A 25 ft is the correct answer.

Step-by-step explanation:

Given that:

One square corral at a stable has an area 625 [tex]ft^2[/tex].

And one side corral is along a barn.

To find:

How much of a barn's wall is used for the edge of corral?

Solution:

First of all, kindly refer to the attached figure to have a better understanding of the given dimensions and situation.

Given that Corral is square shape with Area, A = 625 [tex]ft^2[/tex]

Formula for area of a square is given as:

[tex]A = Edge^2[/tex]

Putting the value of A as given to find the Edge:

[tex]625 = Edge^2\\\Rightarrow Edge^2 =25 \times 25\\\Rightarrow Edge = 25\ ft[/tex]

It is given that one side of Corral is along a barn.

So, barn's wall used for the edge of corral = 25 ft

Option A 25 ft is the correct answer.

Answer: A 25ft I did it on edge and got it correct and please do as brainlest and have a good day.

Answer:

i believe a=105, b=29, and c=45

Answer: [tex]2.25\sqrt{3}[/tex]

Not sure what you mean by terms of pi, unless you want us to find the area of the sector, not the triangle.

Step-by-step explanation:

Assuming you mean the area of the triangle...

First draw an altitude from the 120 degree angle to the opposite base.  You will find that the altitude will also be a median.  This forms 2 30-60-90 right triangles.  Thus, the height of the altitude is 1.5 and the base of the triangle is 1.5*root3.  Thus, the base of the triangle is [tex]3\sqrt{3}[/tex] and the height is 1.5.  Thus, the area of the triangle is [tex]2.25\sqrt{3}[/tex]

Answer:

Multiply every coordinate from the old one by 0.75

Step-by-step explanation:

I just did this question so I didn't need your photo. And I got it right. Hope this helps anyone else stuck on a similar question.

The rule is to multiply the old coordinates/sides by the scale factor, if its a fraction convert it to a decimal and then multiply like I did.

Answer:

x, y ----> 3/4x, 3/4y

Step-by-step explanation:

Answer:

R = 21.8° to the nearest tenth

Step-by-step explanation:

To find Angle R we use tan

tan ∅ = opposite / adjacent

From the question

The opposite is 2

The adjacent is 5

So we have

tan R = 2/5

R = tan-¹ 2/5

Hope this helps you

Step-by-step explanation:

The equation is   sinθ * cosθ - sinθ = 0

θ = 0 + 2kπ

θ = 2kπ where k is any integer

The solutions to the equation are: {0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}

Hence, the correct option is C.

The given equation is:

sin theta × cos theta - sin theta = 0

We can factor out the sine theta:

sin theta (cos theta - 1) = 0

This means that either sin theta = 0 or cos theta - 1 = 0.

If sin theta = 0, then theta = 0, 180 degrees, 360 degrees, etc.

If cos theta - 1 = 0, then cos theta = 1, which means that theta = 0 degrees and 360 degrees.

Therefore, the solutions to the equation are:

{0 degree, 180 degree, 360 degree, 360 degree + 180 degree n, where n is any integer}

So the answer is C.

Learn more about solutions here: brainly.com/question/30665317

#SPJ2

Answer:

Step-by-step explanation:

The given equation is expressed as

(x + 1)/(x - 1) - (x - 1)/(x + 1) = 7/12

Simplifying the right hand side of the equation, it becomes

[(x + 1)(x + 1) - (x - 1)(x - 1)]/(x - 1)(x + 1)

x² + x + x + 1 - (x² - 2x + 1)/(x - 1)(x + 1)

(x² + 2x + 1 - x² + 2x - 1)/(x - 1)(x + 1)

4x/(x - 1)(x + 1)

Therefore,

4x/(x - 1)(x + 1) = 7/12

Cross multiplying, it becomes

4x × 12 = 7(x - 1)(x + 1)

48x = 7(x² + x - x - 1)

48x = 7x² - 7

7x² - 48x - 7 = 0

Applying the quadratic formula,

x = - b ± √(b² - 4ac)]/2a

from our equation,

b = - 48

a = 7

c = - 7

Therefore

x = [- - 48 ± √(- 48² - 4(7 × - 7)]/2 × 7)

x = [48 ± √(2304 + 196]/14

x = (48 ± √2500)/14

x = (48 ± 50)/14

x = (48 + 50)/14 or x = (48 - 50)/14

x = 98/14 or x = - 2/14

x = 7 or x = - 1/7

Answer: The given equation is expressed as (x + 1)/(x - 1) - (x - 1)/(x + 1) = 7/12Simplifying the right hand side of the equation, it becomes[(x + 1)(x + 1) - (x - 1)(x - 1)]/(x - 1)(x + 1)x² + x + x + 1 - (x² - 2x + 1)/(x - 1)(x + 1)(x² + 2x + 1 - x² + 2x - 1)/(x - 1)(x + 1)4x/(x - 1)(x + 1)Therefore, 4x/(x - 1)(x + 1) = 7/12Cross multiplying, it becomes4x × 12 = 7(x - 1)(x + 1)48x = 7(x² + x - x - 1)48x = 7x² - 77x² - 48x - 7 = 0Applying the quadratic formula,x = - b ± √(b² - 4ac)]/2a from our equation, b = - 48a = 7c = - 7Thereforex = [- - 48 ± √(- 48² - 4(7 × - 7)]/2 × 7)x = [48 ± √(2304 + 196]/14x = (48 ± √2500)/14x = (48 ± 50)/14x = (48 + 50)/14 or x = (48 - 50)/14x = 98/14 or x = - 2/14x = 7 or x = - 1/7

Step-by-step explanation:

Answer:

[tex]Probability = 51\%[/tex]

Step-by-step explanation:

Given

Radius of inner circle = 5ft

Radius of outer circle = 7ft

Required

Determine the probability that the thumbtack will be placed on the inner circle

We start by calculating the area of both circles;

Inner Circle

[tex]Area = \pi r^2[/tex]

[tex]Area = 3.14 * 5^2[/tex]

[tex]Area = 3.14 * 25[/tex]

[tex]Area = 78.5[/tex]

Outer Circle

[tex]Area = \pi R^2[/tex]

[tex]Area = 3.14 * 7^2[/tex]

[tex]Area = 3.14 * 49[/tex]

[tex]Area = 153.86[/tex]

At this point, the probability can be calculated;

The probability = Area of Inner Circle / Area of Outer Circle

[tex]Probability = \frac{78.5}{153.86}[/tex]

[tex]Probability = 0.51020408163[/tex]

Convert to percentage

[tex]Probability = 0.51020408163 * 100\%[/tex]

[tex]Probability = 51.020408163\%[/tex]

Approximate

[tex]Probability = 51\%[/tex]

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.