45/60 x/100
What does x equal?

Answer:

1/3

Step-by-step explanation:

360/120=3

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

A full turn is 360° , thus

fraction of full turn = \(\frac{120}{360}\) = \(\frac{1}{3}\)

Answer:

y = -x + 1

Step-by-step explanation:

you know that it must be y = mx + b form so you know that b is the y-intercept and the only time it touches is on positive one so you know it needs a positive one. then to find the slope you need to use the two points that are given. Rise/Run(rise over run) it only goes up one and over -1 so divide and you get -1 for the slope.

hope this helps!

Answer:

x = 4

y = 10

Step-by-step explanation:

3x + 2y = 32 (Multiply this equation by -3)

9x - 3y = 6

-9x - 6y = -96

9x - 3y = 6

-9y = -90

y = 10

3x + 2y = 32

3x + 2(10) = 32

3x + 20 = 32

3x = 32 - 20

3x = 12

x = 4

Answer:

It affects it by profit for 100 downloads is for $90 greater.

Step-by-step explanation:

Profit - 90% * revenue - 50

p(x) - 0.9 * f(x) - 50

=0.9 * 3x - 50

=2.7x - 50

Now find the profit for 100 downloads: p(100) = 2.7 * 100 - 50 =220

220 - 130 = 90

In the function f(x) = 3x + 2, f(5) = 17

A function is a mathematical equation which shows the relationship between two variables.

Since we have the function f(x) = 3x + 2 and we want to find f(5), we proceed as follows.

To find f(5) in f(x) = 3x + 2, we note that f(5)  is the value of f(x) when x = 5. So, we substitute x = 5 into the equation.

So, f(x) = 3x + 2

Substituting x = 5 into the equation, we have

f(5) = 3(5) + 2

= 15 + 2

= 17

So, f(5) = 17

Learn more about functions here:

https://brainly.com/question/24779057

#SPJ1

The whole assignment?

The expression that are equivalent to -4/3p - 2/5 are - 2/5 -4/3p and -4/3p + (-2/5)

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

-4/3p - 2/5

The equivalent of the above expression is

- 2/5 -4/3p

Another equivalent of the above expression is

-4/3p + (-2/5)

These are represented by options (a) and (d)

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:

Step-by-step explanation:

12ab - 10b² - 18a² + 9ab + 12b² +  14a²

= 12ab + 9ab  - 10b² + 12b² -18a² + 14a²     {Combine like terms}

= (12 + 9)ab + (-10 + 12)b² + (-18 + 14)a²

= 21ab + 2b²  - 4a²

ab + 2b² + 3b² - a² = ab + (2+3)b² - a²

                               = ab + 5b² - a²

Now find the difference

ab + 5b² - a² - [ 21ab + 2b²  - 4a²]

= ab + 5b² -a² - 21ab - 2b² + 4a²

= ab - 21ab  + 5b² - 2b² - a² + 4a²

=  -20ab + 3b² + 3a²

2) 2x³ – 3x² y +2xy²+3y³ - unknown polynomial =  x³ -2x² y+3xy²+4y³

2x³ – 3x² y +2xy²+3y³ =  x³ -2x² y+3xy²+4y³ +  unknown polynomial

2x³ – 3x² y +2xy²+3y³ - [ x³ -2x² y+3xy²+4y³] = unknown polynomial

2x³ – 3x² y +2xy²+3y³ - x³  + 2x² y- 3xy²- 4y³ =

2x³ - x³ -3x²y  +2x²y  + 2xy² - 3xy²  + 3y³ - 4y³=

x³ - x²y  - xy² - y³

Answer: x³ - x²y  - xy² - y³

Answer: t \(\leq\) 54

Step-by-step explanation: Normally, she trains for 90 minutes, so we need to figure out what 60% of 90 is.

90 x .60 = 54.

SO then we can make the inequality, t \(\leq\) 54

The simplified expression of -6(3i)(-2i) is equal to -36.

The distributive property of multiplication is a mathematical rule that allows us to multiply a number by a sum or difference of two or more numbers by distributing the multiplication over each term inside the parentheses

To simplify the expression -6(3i)(-2i), we first need to use the distributive property of multiplication.

We can start by multiplying -6 by 3i, which gives us -18i. Then, we can multiply -18i by -2i, which results in 36i^2.

However, we know that i^2 is equal to -1, so we can substitute that in to get 36(-1), which simplifies to -36.

Learn more about distributive property here

brainly.com/question/18413437

#SPJ4

The given question is incomplete, the complete question is:

Simplify the expression -6(3i)(-2i)

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

For more such questions on algebraic, click on:

https://brainly.com/question/4344214

#SPJ8

Step-by-step explanation:

you mean it is 6° less, right ?

supplement means together they have 180°.

complement means together they have 90°.

x is our angle.

180 - x is the supplement angle.

90 - x is the complement angle.

180 - x = 90 - x - 6

90 = -6

you see, that is not possible.

the difference between the supplementary angle and the complementary angle is always 90°.

e.g.

x = 30°

supplement = 180-30 = 150°

complement = 90-30 = 60°

the difference is : 150 - 60 = 90°

x = 80°

supplement = 180 - 80 = 100°

complement = 90-80 = 10°

the difference is : 100 - 10 = 90°

and so on.

so, again, there is no angle that satisfies that criteria.

either you made a mistake in the problem description, or your teacher tried to be tricky.

remember, as x has also a complementary angle, it must be smaller than 90°.

so, the supplementary angle of x must be larger than 90°, and therefore larger than the complementary angle.

there is no angle, for which the supplementary angle is smaller than the complementary angle.

The value of the 3rd term in the expansion of (x+6) ^6 will be as follows:

540x^4

What is expansion?

Expanding brackets, also known as multiplying out, seeks to eliminate the set of brackets by multiplying each phrase inside a bracket by the term on the outside and subsequently accumulating similar phrases. When solving equations, extending brackets, which is the opposite of factorization, is frequently an essential step.

Here in the question,

We have,

(x+6) ^6

Expanding it we get:

= x^6 + 36x^5 + 540x^4 +4320x³ + 19440x² + 46656x + 46656

So, the 3rd term of the expansion is 540x^4.

To know more about expansion, visit:

https://brainly.com/question/30642466

#SPJ1

The value of the 3rd term in the expansion of \((x+6) ^6\) will be as follows: \(540x^4\). The correct answer is option (c).  \((6\ \ 4)36x^4\)

By multiplying each phrase inside a bracket by the word on the outside and then accumulating similar phrases, expanding brackets, also known as multiplying out, aims to eliminate the set of brackets. Extending brackets, which is the opposite of factorization, is frequently a crucial stage in the solution of equations.

An affine transformation termed expansion, in which the scale is expanded, is also referred to as an enlargement or dilation. It is also sometimes referred to as an enlargement and is the polar opposite of a geometric constriction.

Here in the question,

We have,

\((x+6) ^6\)

Expanding it we get:

\(= x^6 + 36x^5 + 540x^4 +4320x^3 + 19440x^2 + 46656x + 46656\)

So, the 3rd term of the expansion is \(540x^4\).

The correct answer is option (c). \((6\ \ 4)36x^4\)

To know more about expansion, visit:

brainly.com/question/30642466

#SPJ1

Answer:

Abc= D= 2.94C

Step-by-step explanation:

Answer:

Answer should be 1/20

Step-by-step explanation:

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

Answer:

There are 15 letters, but if the two A's must always be together, that's the same as if they're just one letter, so our "base count" is  14! ; note that this way of counting means that we also don't need to worry about compensating for "double counting" identical permutations due to transposition of those A's, because we don't "count" both transpositions. However, that counting does "double count" equivalent permutations due to having two O's, two N's, and two T's, so we do need to compensate for that. Therefore the final answer is  14!/(23)=10,897,286,400

Answer:

Step-by-step explanation:

(D)

There are 12 bags that have zips οn them.

A Venn diagram is a visual representatiοn οf sets οr grοups using circles that οverlap tο shοw the relatiοnships between them. The areas οf οverlap represent the elements that are shared by the sets.

We can use a Venn diagram tο sοlve this prοblem. Let's represent the tοtal number οf bags as 130 and use three circles tο represent the bags with buttοns, bags with zips, and bags with neither. We knοw that:

42 bags have buttοns but nο zips, sο we can put 42 in the circle fοr bags with buttοns and exclude it frοm the circle fοr bags with zips.

42 bags have zips but nο buttοns, sο we can put 42 in the circle fοr bags with zips and exclude it frοm the circle fοr bags with buttοns.

34 bags have neither zips nοr buttοns, sο we can put 34 οutside bοth circles.

Nοw, we need tο find the number οf bags that have zips. We can start by finding the tοtal number οf bags that dο nοt have zips:

130 - 42 (with buttοns but nο zips) - 34 (with neither zips nοr buttοns) = 54

This means that 54 bags have zips, buttοns, οr bοth. Hοwever, we need tο exclude the 42 bags that have buttοns but nο zips tο find the number οf bags that have zips:

54 - 42 = 12

Therefοre, there are 12 bags that have zips οn them.

To learn more about Venn Diagram from the given link

https://brainly.com/question/29301560

#SPJ9

the measure of the smaller angle is 16 degrees, and the measure of the larger angle is 74 degrees.

The two angles are complementary, which means that their sum equals 90 degrees. Let x be the smaller angle, and y be the larger angle.

According to the problem statement, the larger angle is 26 degrees more than three times the measure of the smaller angle. In mathematical terms, this means:
y = 3x + 26We also know that the sum of the two angles is 90 degrees. In mathematical terms, this means:
x + y = 90 Substituting the expression for y from the first equation into the second equation,

we get: x + (3x + 26) = 90Simplifying this equation,
we get: 4x + 26 = 90 Subtracting 26 from both sides of the equation,
we get: 4x = 64Dividing both sides of the equation by 4,
we get: x = 16Substituting this value of x into the equation for y,
we get: y = 3(16) + 26 = 74
Therefore, the measure of the smaller angle is 16 degrees, and the measure of the larger angle is 74 degrees.

To know more about complementary angles refer here :

https://brainly.com/question/2882938

#SPJ11

In family dice game, if a player rolls five dice at a time, then  7776 outcomes can be possible in one roll.

When a single die is rolled, there are six possible outcomes: 1, 2, 3, 4, 5, or 6.

Since there are five dice being rolled in the family game, the total number of possible outcomes is simply the product of the number of outcomes for each die.

Each of the five dice being rolled has six possible outcomes. Each die is independent of the others, meaning that the outcome of one die does not affect the outcome of the others.

Therefore, to find the total number of possible outcomes for all five dice, we multiply the number of outcomes for each die, which gives

6 x 6 x 6 x 6 x 6 = 7776

So, there are 7776 possible outcomes in one roll of five dice in the family game.

Learn more about possible outcomes

brainly.com/question/27292589

#SPJ11

Answer:  The total cost for the frame is $78.00

Step-by-step explanation:

Photograph size = 5 inches x 8 inches

Perimeter = 5 + 5 +8 + 8

Perimeter =26 inches

Cost = $3.00 / inch for a silver frame

Total frame cost = 26 inches x $3.00 = $78.00

Please remember to vote this answer as Brainliest if I earned it!

Applying the corresponding angles and linear pair theorems, the value of x is determined as: C. 100°.

Two angles that lie on the same corner along a transversal on each parallel lines that the transversal cuts are regarded as corresponding angles. Thus, according to the corresponding angles theorem, these angles are congruent to each other.

When two angles are on a straight line, they are considered as a linear angles pair. Thus, according to the linear pair theorem, a linear pair have a sum of 180 degrees.

From the image given, we have:

Measure of angle A = 180 - 100 = 80° [linear pair theorem]

Measure of angle B = measure of angle A = 80° [corresponding angles theorem]

Measure of angle C = measure of angle B = 80° [corresponding angles theorem]

x = 180 - measure of angle B [linear pair theorem]

x = 180 - 90

x = 100°

Thus, applying the corresponding angles and linear pair theorems, the value of x is determined as: C. 100°.

Learn more about the corresponding angles and linear pair theorems on:

https://brainly.com/question/27869535

#SPJ1

x*x is x^2, because the ^2 simply means that the x is multiplying by itself

(Ex. if you had x^3, you would have x*x*x, or if you had x^4, you would have x*x*x*x and it goes the other way around as well, meaning x*x*x*x*x would be x^5)

Answer:

B. x²

Step-by-step explanation:

A number/variable multiplied by itself would be a power, in this case to the second power.

For example:

x*x*x = x³

The pair of lines perpendicular to RS are EA and FG.

A flat surface on which a straight line joining any two points on it would wholly lie is known as a plane.

What is plane?

A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.

Main Body:

Given

E,F and G are on plane X. R and S are in both planes X and Y. EA and FG are parallel. AE and FG are vertical lines and are present on plane X. RS is present at the intersection of the 2 planes.

Explanation:

The lines which together could be perpendicular to RS are EA and FG.

We have to first draw both the planes according to the given information in question.

X is a vertical plane so draw a plane vertical on the horizontal plane that is Y plane. Now plot A and F And G in X plane and R,S in such a way that they  are in both plane so they will be at the intersection of both the planes. Now draw lines from A and F to form lines EA and FG.

Hence we can observe that lines EA and FD are perpendicular on line RS.

To learn more about plane : visit

https://brainly.com/question/28247880

#SPJ4

Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.

According to the statement

we have to explain all about the discrete probability distribution and its two conditions which determine that the this probability is a probability distribution.

So, For this purpose, we know that the

Discrete events are those with a finite number of outcomes

And this is other way that we defines that the A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum.

The main example of this is Binomial.

And the two conditions of the probability distribution is :

So, Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.

Learn more about discrete probability distribution here

https://brainly.com/question/17145091

#SPJ4

The function f(x) = 2x + 1, where f is defined from the positive integers (Z+) to the real numbers (R), is a one-to-one function, but not a bijection or onto function.

A one-to-one function, also known as an injective function, is a function in which each input value (x) maps to a unique output value (f(x)). In the given expression, f(x) = 2x + 1, every positive integer will have a unique real number output since the coefficient of x is 2, ensuring distinct outputs for distinct inputs. Hence, f is a one-to-one function.

However, a bijection requires that a function be both one-to-one and onto. An onto function, also known as a surjective function, means that every element in the codomain (R) has a corresponding element in the domain (Z+) such that f(x) maps to that element. In this case, the function f(x) = 2x + 1 is not onto because there are real numbers that do not have corresponding positive integers. For example, there is no positive integer x that can satisfy f(x) = 2x + 1 = 0.

In conclusion, the function f(x) = 2x + 1 is a one-to-one function, but it is not a bijection or an onto function.

Learn more about function here:

https://brainly.com/question/30721594

#SPJ11

To find the area enclosed by the loop of the strophoid r = 2cos(theta) - sec(theta), we need to find the points where the curve intersects itself and integrate the area between them.

First, we find the points where the curve intersects itself by solving the equation r = 2cos(theta) - sec(theta) for theta:

2cos(theta) - sec(theta) = 2cos(theta) - 1/cos(theta)

2cos^2(theta) - 1 = 2cos(theta)

2cos^2(theta) - 2cos(theta) - 1 = 0

Using the quadratic formula, we find:

cos(theta) = (2 ± sqrt(8))/4 = (1 ± sqrt(2))/2

Since r = 2cos(theta) - sec(theta) is undefined when cos(theta) = 0 or cos(theta) = ±1, we only need to consider the two values of theta where cos(theta) = (1 + sqrt(2))/2:

theta1 = arccos((1 + sqrt(2))/2) ≈ 0.2π

theta2 = 2π - arccos((1 + sqrt(2))/2) ≈ 1.8π

To find the area enclosed by the loop, we integrate the area between the two curves r1 = 2cos(theta) - sec(theta) and r2 = 0 from theta1 to theta2:

A = ∫theta1^theta2 (1/2)(r1)^2 dtheta - ∫theta1^theta2 (1/2)(r2)^2 dtheta

= ∫theta1^theta2 (1/2)(2cos(theta) - sec(theta))^2 dtheta - ∫theta1^theta2 (1/2)(0)^2 dtheta

= ∫theta1^theta2 2cos^2(theta) - 4cos(theta)/cos(theta) + 1/cos^2(theta) dtheta

= ∫theta1^theta2 2cos^2(theta) - 4 + cos^2(theta) dtheta

= ∫theta1^theta2 3/2cos^2(theta) - 4 dtheta

= (3/4)sin(theta) - 4theta ∣theta1^theta2

≈ 3.37

Therefore, the area enclosed by the loop of the strophoid is approximately 3.37 square units.

To find the length L of the curve given by x = cos^2t and y = cost, we use the arc length formula:

L = ∫a^b sqrt(dx/dt)^2 + sqrt(dy/dt)^2 dt

In this case, dx/dt = -2sintcost and dy/dt = -sint, so:

L = ∫0^2π sqrt((-2sintcost)^2 + (-sint)^2) dt

= ∫0^2π sqrt(4sin^2tcos^2t + sin^2t) dt

= ∫0^2π sqrt(sin^2t(4cos^2t + 1)) dt

= ∫0^2π sin(t)sqrt(4cos^2t + 1) dt

This integral does not have a closed-form solution, but it can be approximated using numerical methods. Using a calculator or computer, we find that L ≈ 4.4.

Learn more about strophoid at: brainly.com/question/30517152

#SPJ11

Answer:

- 12(x + 2)

Step-by-step explanation:

- 12x - 24 ← factor out the common factor of - 12 from each term

= - 12(x + 2)

Given:

To find:

The solution.

Explanation:

Using the Cramer's rule,

Let us find the value of x and y.

Therefore, the solution is (-5, 2).

Final answer:

The value of x is -5 and the value of y is 2.

The solution is (-5, 2).