(-4, 6) and (3,-7)whats the distance between each pair or points

The software company released 227 home versions and 723 professional versions.

Let  h represent the number of home versions sold and p represent the number of professional versions sold.

Since 1000 copies where sold, hence:

Also the revenue was $38075, hence:

Solving equations 1 and 2 simultaneously gives:

h = 227, p = 723

The software company released 227 home versions and 723 professional versions.

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Answer:

tan

Step-by-step explanation:

take 19 degree as reference angle

using tan rule

tan 19=opposite/adjacent

0.34=14/x

x=14/0.34

x=41.17

x=41.2

The perimeter of the rectangle is 62 square units.

The perimeter of a rectangle can be calculated using the formula:

P = 2(L + W)

Where:

L is the length of the rectangle

W is the width of the rectangle

We have:

L = 20 units

W = 11 units

Substituting into the formula:

P = 2(20 + 11)

P = 2(31)

P = 62 square units

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Question in English

What is the perimeter of a rectangle if it is 20 long and 11 wide?

The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

y = 1/2(-4) + 2 = -2 + 2 = 0

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

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Answer:

the product of the decimal equivalents of all discount in the series

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Answer:

I think it is 11875

Sorry if im wrong

Hope This Helps

Answer:

Option: C

Step-by-step explanation:

The center and radius of the circle with equation (x - 1)² + (y + 4)² = 4 are:

Center: (1, -4)

Radius: 2

So the correct answer is: Center (1, -4); r=2\(\)

The general solution for the equation 5tan(θ) - 6cos(θ) = 0 is:

θ = sin⁻¹(2/3) + nπ, where n is an integer.

To determine the general solution of the trigonometric equation 5tan(θ) - 6cos(θ) = 0, we can use algebraic manipulation and trigonometric identities to simplify and solve for θ.

Starting with the given equation:

5tan(θ) - 6cos(θ) = 0

First, we can rewrite the tangent function in terms of sine and cosine:

5(sin(θ)/cos(θ)) - 6cos(θ) = 0

Next, multiply through by cos(θ) to eliminate the denominator:

5sin(θ) - 6cos²(θ) = 0

Using the identity sin²(θ) + cos²(θ) = 1, we can express cos²(θ) as 1 - sin²(θ):

5sin(θ) - 6(1 - sin²(θ)) = 0

Expanding and rearranging terms:

5sin(θ) - 6 + 6sin²(θ) = 0

Rearranging the equation:

6sin²(θ) + 5sin(θ) - 6 = 0

Now, we have a quadratic equation in terms of sin(θ).

We can solve this quadratic equation by factoring or using the quadratic formula.

However, since this equation is not easily factorable, we will use the quadratic formula:

sin(θ) = (-b ± √(b² - 4ac)) / 2a

For our equation:

a = 6, b = 5, c = -6

Plugging these values into the quadratic formula and simplifying, we get:

sin(θ) = (-5 ± √(5² - 4(6)(-6))) / (2(6))

sin(θ) = (-5 ± √(25 + 144)) / 12

sin(θ) = (-5 ± √169) / 12

sin(θ) = (-5 ± 13) / 12.

This gives us two possible solutions for sin(θ):

sin(θ) = (13 - 5) / 12 = 8/12 = 2/3

sin(θ) = (-13 - 5) / 12 = -18/12 = -3/2

Since the range of the sine function is -1 to 1, the second solution (-3/2) is not valid.

Now, to find the values of θ, we can use the inverse sine function (sin⁻¹) to solve for θ:

θ = sin⁻¹(2/3)

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Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

Answer:

she spends 9 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

what is the length we are talking about i need a little more info

Step-by-step explanation:

Answer:

The answer is 32 divided by 4

Step-by-step explanation:

Because in each box there is 4. There are 8 ovals all together. So 8×4, you get 32 and divide it by the number of squares in an oval which is 4

Answer:

the answer is 32 divided by 4=8

Step-by-step explanation:

because when you look at the ovals there's eight ovals and in side there's four squares..

HOPE THIS HELPS!!!!!

Answer:

x=55

Step-by-step explanation:

2x+6+x+9=180

3x=165

x=55

:]

Hello.

The symbols | | mean the absolute value, which is keeps the numbers postive.

Of the answers shown, the correct answer is {-8, 8) because |-8 + 2| = 10, because of the absolute value symbols | |. (Also |8 + 2| of course equals 10.)

Answer: Her scores in one game may be 5 points and the other may be 4 points.

Step-by-step explanation:

You may think about dividing the 9 points into two to find how many points she made in each game. But after dividing you will have 4.5 which is not an accurate answer.In a basketball game you can't score have a point but you make whole points.

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

Explanation:

The process of finding the arithmetic mean involves two steps

The first bit of info your teacher gave you is "the mean of five numbers in a set is 12". While we don't know the actual individual values themselves, we know that they must add to some variable y. Dividing y over n gets us the mean

y/n = mean

y/5 = 12

y = 5*12

y = 60

The five values add to 60.

----------

The next bit of info is that "the mean of all six is 14". That allows us to say:

(sum of all 6 values)/6 = mean

(sum of all 6 values)/6 = 14

( (sum of 5 values) + (6th value) )/6 = 14

(y + x)/6 = 14

(60 + x)/6 = 14

where x is the 6th number we want to find.

-----------

Solve for x

(60 + x)/6 = 14

60+x = 6*14

60+x = 84

x = 84-60

x = 24 so choice (1) is the answer

Answer:

X+7 < 40 is the answer

x can equal anything less than 33

Step-by-step explanation:

The quadratic formula is \(y = ax^{2} +bx+ c\)

   \(x^2-8x + 16 = 0\\(x-4)(x-4) = 0\)

So the solution for k is 16.

Hope that helps!

Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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The number of inches the plant grew this week would be 8-x. As the length increased this week the length is substracted from this week to last week.

Subtraction (which is signified by the minus sign −) is one of the four arithmetic operations along with addition, multiplication and division. Subtraction is an operation that represents removal of objects from a collection. For example, in the adjacent picture, there are 5 − 2 peaches—meaning 5 peaches with 2 taken away, resulting in a total of 3 peaches.

Therefore, the difference of 5 and 2 is 3; that is, 5 − 2 = 3. While primarily associated with natural numbers in arithmetic, subtraction can also represent removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, fractions, irrational numbers, vectors, decimals, functions, and matrices.

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The solution of the equation -x² + 4 = x + 2 is at x = -2 and x = 1

An equation is an expression that shows how numbers and variables are related to each other.

Given the quadratic equation:

-x² + 4 = x + 2

Collecting like terms:

x² + x - 2 = 0

Plotting using a graph; the solution of the equation can be gotten by getting the point the graph crosses the x axis.

The solution is at x = -2 and x = 1

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Answer:

19y/2 + 7y2

Step-by-step explanation:

45.455% is  the percentage of distance travelled by her in the train .

In math, what is a distance?

The length of the line segment connecting the two sites is used to measure distance between them.

                               The shortest segment of a line connecting a point to a line will have a length equal to the distance between them.

Distance travelled by bus = 3 miles

Distance travelled by train  = 5 miles

Distance travelled by car = 3 miles

Total distance travelled = 3 + 5 + 3 = 11 miles

the percentage of distance travelled by her in the train = 5/11  * 100

                                             = 45.455%

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Answer:

3/5 = 12/20

Step-by-step explanation:

5 x 4 = 20 so mulyiply 3 x 4 to get 12

Answer:

-$13.5

Step-by-step explanation:

Let x be a random variable of a count of player gain.

- We are told that if the die shows 3, the player wins $45.

- there is a charge of $9 to play the game

If he wins, he gains; 45 - 9 = $36

If he looses, he has a net gain which is a loss = -$9

Thus, the x-values are; (36, -9)

Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6

Thus;

E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)

E(X) = (1/6)(36 - (5 × 9))

E(X) = (1/6)(36 - 45)

E(X) = -9/6 = -3/2

E(X) = -3/2

This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5