X-(-y-z+3) remove the parentheses

Answer:

The population in 6 years will be 42,960.

Step-by-step explanation:

First, multiply 7.2% or 0.072 and 30,000 which will give you 2,160.

Then, 2,160 by the number of years (6) which is 12,960.

Lastly add 12,960 and 30,000 to get 42,960.

Hope this helps and I hope u have an Amazing day!

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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The first equation is incorrect.

The second equation is correct.

The third equation is correct.

Let's go through each equation and determine whether it is correct or incorrect:

(b²+7b-9)+(4b-6b²) = -8b² + 14b-9

To determine if this equation is correct, we need to simplify both sides and check if they are equal.

On the left side:

(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9

On the right side:

-8b² + 14b - 9

Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.

(4a+6)-(3a²-9a+1)=-3a²+ 13a +5

Again, we need to simplify both sides of the equation and check if they are equal.

On the left side:

(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5

On the right side:

-3a² + 13a + 5

Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.

(12c-8c²)+(5c²- 10c) = -3c²+2c

Again, let's simplify both sides and compare them.

On the left side:

(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c

On the right side:

-3c² + 2c

Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.

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The value of angle LAF in the intersecting chords is determined as  104⁰.

The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

m∠LAF = ¹/₂ (arc LF + arc YS)

From the diagram, we have arc LF = 160⁰ and YS = 48⁰

m∠LAF = ¹/₂ (160 + 48)

m∠LAF = 104⁰

Thus, the value of angle LAF is calculated by applying intersecting chord theorem.

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A) The bunny population after every 2 months is f(T)=5T+20

B) The bunny population after 16 weeks is x=29.205

C) The number of months that the bunny population to reach 300 bunnies is 112 months.

All nationals present in, or temporarily absent from, a country, as well as aliens permanently settled in a country, are characterized as population. This indicator depicts the average number of people who live in a given location. The annual changes in population caused by births, deaths, and net migration during the year are referred to as growth rates.

Given,

0 months -------- 20 bunnies

2 years ------- 80 bunnies

In two years, bunnies are increased by,

=80-20

=60

2 years ------>60

1 year ------>30

A) f(T)=mT + b

1 year -----> 12 months -----> 30 bunnies

12/6 months ------>30/6 bunnies

2 months -----> 5 bunnies

f(T)= initial population+ increased population in two months

f(T)=20+5

f(T)==25

f(T)= 2.5T+20

f(T)=5T+20

Where T =time in months

B) For 10 years ------> 10 bunnies

52 weeks -------->30 bunnies

16 weeks ------?

x=(16*30)/52

x=29.205

C) 1 month -------> 2.5 bunnies

 ? ---------------->280 bunnies

x=280/2.5

x=112 months

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Answer:

A) The bunny population after every 2 months is f(T)=5T+20

B) The bunny population after 16 weeks is x=29.205

C) The number of months that the bunny population to reach 300 bunnies is 112 months.

What is meant by population?

All nationals present in, or temporarily absent from, a country, as well as aliens permanently settled in a country, are characterized as population. This indicator depicts the average number of people who live in a given location. The annual changes in population caused by births, deaths, and net migration during the year are referred to as growth rates.

Given,

0 months -------- 20 bunnies

2 years ------- 80 bunnies

In two years, bunnies are increased by,

=80-20

=60

2 years ------>60

1 year ------>30

A) f(T)=mT + b

1 year -----> 12 months -----> 30 bunnies

12/6 months ------>30/6 bunnies

2 months -----> 5 bunnies

f(T)= initial population+ increased population in two months

f(T)=20+5

f(T)==25

f(T)= 2.5T+20

f(T)=5T+20

Where T =time in months

B) For 10 years ------> 10 bunnies

52 weeks -------->30 bunnies

16 weeks ------?

x=(16*30)/52

x=29.205

C) 1 month -------> 2.5 bunnies

? ---------------->280 bunnies

x=280/2.5

x=112 months

Answer:

Price is decreased by $3,312

And, the price of the next model is $44,688

Step-by-step explanation:

The computation is shown below:

Given that the current model cost is $48,000

And, there is 6.9% lower than the current model

So, the price would decrease in dollars is

= $48,000 × 6.9%

= $3,312

The price of the next model is

= $48,000 - $3,312

= $44,688

Answer:

f^(-1)(x) = ±√(x - 5).

Step-by-step explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

Based on the substitution method, the solution of the system of the equation is x = 3 and y = 17.

Substitution method:

Substitution method is the way of finding the value of any one of the variables from one equation in terms of the other variable.

Given,

Here we have the system of equations

x + y = 20

y = 3x + 8

Now we need to find the solutions for these equation using the substitution method.

From the given details we know that the value of y is defined as 3x + 8.

So, we have to apply these value on the other equation in order to find the value of x,

x + (3x + 8) = 20

4x + 8 = 20

4x = 20 - 8

4x = 12

x = 3

Now apply the value of x into the other equation in order to find the value  of y,

y = 3(3) + 8

y = 9 + 8

y = 17

Therefore, the solution of the equation is x = 3 and y = 17.

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Answer:

A =126 in ^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 12) 21

A =126 in ^2

Answer:

The area of triangle is 126 inches ².

Step-by-step explanation:

Base of triangle = 12 inches

Height of triangle = 21 inches

Area of triangle

Area of triangle = 1/2 × base × height

Using Formula

Area of triangle = 1/2 × base × height

substitute the values into the formula

Area of triangle = 1/2 × 12 inches × 21 inches.

multiply,

Area of triangle = 1/2 × 252 inches ²

Divide, we get

Area of triangle = 126 inches ²

Therefore, The area of triangle is 126 inches ².

Answer:

X times .7 = y.

Step-by-step explanation:

I know what question you are reffering to, don’t worry. <33

Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

Answer:

There are 80 10th graders in the school

Step-by-step explanation:

Let the number of 10th graders be x

There are 25% fewer 11th graders

That mean x - 25% of x

x -0.25x = 0.75x

There are 20% more 11th graders than 12th graders

So if number of 12th graders = y, then

0.75x = y + 20/100 * y = y + 0.2y = 1.2y

Since ;

0.75x = 1.2y

then y = 0.75x/1.2 = 0.625x

So let’s add all to give 190

x + 0.75x + 0.625x = 190

2.375x = 190

x = 190/2.375

x = 80

After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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Answer:

Counter Clockwise Torque = 360 Nm

Clockwise Torque = 240 Nm

Step-by-step explanation:

1. Schedule of Cost of Goods Manufactured

Raw materials inventory beginning                                11,400

Add: Raw Material purchased                                        32,000

Total raw materials available                                       43,400

Less: Raw materials inventory ending                          -19,300

Less: Indirect materials                                                   -4,530

The raw material used in production                              19,570

Direct labor                                                                     59,300

Manufacturing Overheads                                              87,600

Total Manufacturing Costs                                     166,470

Add: Work in process inventory, beginning                    54,400

The total cost of work in process                             220,870

Less: Work in process inventory ending                       -66,300

Cost of goods manufactured                                   $154,570

2.

Schedule of Cost of Goods Sold

Finished goods inventory, beginning              33,800

Cost of goods manufactured                        154,570

Cost of goods available for sale                   188,370

Finished goods inventory, Ending                 -43,300

Unadjusted Cost of goods sold                   145,070

Under applied manufacturing overhead          4,060

Adjusted Cost of goods sold                     $149,130

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The complete question is mentioned below:

Primare Corporation has provided the following data concerning last month's manufacturing operations.

Purchases of raw materials                                            $32,000

Indirect materials included in manufacturing overhead  $4,530

Direct labor                                                                     $59,300

Manufacturing overhead applied to work in process $87,600

Underapplied overhead                                                    $4,060

Inventories            Beginning              Ending

Raw materials        $11,400               $19,300

Work in process      $54,400              $66,300

Finished goods        $33,800              $43,300

1. Prepare a schedule of the cost of goods manufactured for the month.

2. Prepare a schedule of the cost of goods sold for the month. Assume the underapplied or overapplied overhead is close to the Cost of Goods Sold.

Answer:

Step-by-step explanation:

500÷9=55.56miles/h (correct to 3 decimal places)

Answer:

Step-by-step explanation:

y - 3 = -5(x + 4)

y - 3 = -5x - 20

y = -5x - 17

The probability that less than 8.4% of the individuals in the sample hold multiple jobs is approximately 0.0681 or 6.81%.

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number outcomes.

To determine whether it is appropriate to use the normal approximation, we need to check whether the conditions for using the normal distribution are met.

We can use the following criteria:

The sample size is large enough: n × p ≥ 10 and n × (1 − p) ≥ 10

The observations are independent

Here, we are given that the sample size is n = 66. To check the first condition, we need to find the expected number of individuals who hold multiple jobs in the sample, which is given by:

np = 0.12 × 66 = 7.92

n(1-p) = 66 - 7.92 = 58.08

Both np and n(1-p) are greater than or equal to 10. So, the sample size is large enough and the first condition is met.

Additionally, we can assume that the observations are independent since the sample is random and represents less than 10% of the population of employed adults in the United States.

Therefore, it is appropriate to use the normal approximation.

To find the probability that less than 8.4% of the individuals in the sample hold multiple jobs, we need to standardize the sample proportion using the formula:

z = (p'- p) / \(\sqrt{(p(1-p) / n)}\)

where p' is the sample proportion, p is the population proportion (0.12), n is the sample size (66), and sqrt represents the square root.

Substituting the values, we get:

z = (0.084 - 0.12) / \(\sqrt{((0.12)(1-0.12) / 66)}\) = -1.496

Using a standard normal distribution table, we can find that the probability of z being less than -1.496 is approximately 0.0681.

Therefore, the probability that less than 8.4% of the individuals in the sample hold multiple jobs is approximately 0.0681 or 6.81%.

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Answer:

What’s the problem? If you could attach the problem we can help u out!

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

The solution of the system is then given by:

x = t[1 -1 1 0.5 0.5 0.33] + s[0 -2 1 1 -2 1]

This is the general solution of the system in the form of a sum of scalar multiples of fixed column vectors.

The system of linear equations can be written in matrix form as:

[1 0 1 2 1 3 | 1]

[2 1 2 4 0 10| 5]

[3 1 3 6 6 15| 8]

where the augmented matrix is [A | B].

To solve the system using the method of specifying appropriate free variables, we first convert the coefficient matrix into reduced row echelon form using Gaussian elimination.

In reduced row echelon form, the first non-zero element of each row (known as the leading entry) is 1, and the leading entries of lower rows are to the right of the leading entries of higher rows.

Applying Gaussian elimination to the coefficient matrix, we get:

[1 0 1 2 1 3 | 1]

[0 1 0 2 -2 7| 0]

[0 0 0 0 0 0| 0]

We can see that there are two non-zero rows, indicating that the system has two independent equations.

We can choose two of the variables to be free variables, and express the other variables in terms of the free ones.

Let's choose x1 and x3 as the free variables.

We can find x2 as follows:

x2 = -x1 - 2x3 + 7

And we can find x4, x5 and x6 as follows:

x4 = (1 - x1 - x3)/2

x5 = 1 - x1 - 2x3 + 2x4

x6 = (1 - x1 - x3 - 2x4)/3

So the general solution of the system can be expressed as a sum of scalar multiples of fixed column vectors:

x1 = t

x2 = -t - 2s + 7

x3 = s

x4 = (1 - t - s)/2

x5 = 1 - t - 2s + (1 - t - s)/2

x6 = (1 - t - s)/3

where t and s are scalars.

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The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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Displacement means the distance traveled on a straight line to get to a certain destination. The interpretation of the given equation is option (a):

Given that:

\(f(x) = (x + 1)(x - 2)(x - 3)\)

First, we calculate how far the student traveled to arrive at the school.

This means that we calculate f(0).

So, we have:

\(f(0) = (0 + 1)(0 - 2)(0 - 3)\)

\(f(0) = ( 1)( - 2)( - 3)\)

\(f(0) = 6\)

The student walked 6km to school

When x = 2, it means:

\(f(x) = (x + 1)(x - 2)(x - 3)\)

\(f(2) = (2 + 1)(2-2)(2 -3) = 0\)

This means that the student got to school after 2 minutes

When x = 3, it means

\(f(x) = (x + 1)(x - 2)(x - 3)\)

\(f(3) = (3 + 1)(3-2)(3 -3) = 0\)

This means that the student walked away, turned back and got to school after 3 minutes.

From the given options, option (a) fits the above description.

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Answer:

6.5

Step-by-step explanation:

13/10÷2/10= 13/10*10/2

cancel out the 10 and that leaves you with 13/1*1/2=13/2

simplify 13/2 and that leaves you with 6.5

Answer:

\(6\frac{1}{2}\)

Step-by-step explanation:

\(\frac{13}{10}\)  ·  \(\frac{10}{2}\) (Cross out the tens) = \(\frac{13}{2}\)

2/13 = 6 R.1     \(6\frac{1}{2}\)

Answer:

3

Step-by-step explanation:

-14x  - 7 + 5y - x = -14x - x - 7 + 5y

                         = -15x - 7 + 5y

Answer:

Step-by-step explanation:

3

Answer:

A.  A'(32, 16) B'(48, 16) C'(64, 48)

Step-by-step explanation:

Dilation is a transformation in geometry that changes the size of a figure while preserving its shape. It involves multiplying the coordinates of each point by a scale factor relative to a fixed center of dilation to create a new figure that is either larger or smaller than the original. The center of dilation serves as the fixed point around which the figure is expanded or contracted.

To dilate a figure where the center of dilation is the origin (0, 0), simply multiply each coordinate point by the scale factor.

In this case, as we have not been given a center of dilation, so we can assume it is the origin. The given scale factor is 4.

Given coordinates of the vertices of triangle ABC:

To find the new coordinates after dilation with the origin as the center of dilation, multiply each coordinate point by the scale factor of 4.

A' = (8 · 4, 4 · 4) = (32, 16)

B' = (12 · 4, 4 · 4) = (48, 16)

C' = (16 · 4, 12 · 4) = (64, 48)

Therefore, the new coordinates of the dilated triangle are:

Answer:

27 frames per second

Step-by-step explanation:

108 ÷ 4 = 27

Answer:

108 ÷ 4 = 27

27 frames per second

Answer:

answers 3 and 4 ^0^

Step-by-step explanation:

have a good day <3

The correct options are:

It has only 1 line of reflectional symmetry.

A line of symmetry will connect a vertex and a midpoint of an opposite side.

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

A regular heptagon has one line of reflectional symmetry, which passes through the midpoint of one side and the opposite vertex.

This line divides the heptagon into two congruent halves.

Additionally, there are six lines of symmetry that connect a vertex and the midpoint of the opposite side.

Each of these lines bisects the angle at the vertex and divides the heptagon into two congruent parts.

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Answer:

4) 430.8 centimiters

Step-by-step explanation: