Write the slope-intercept form of each equation. x+2y=18

Answers:

A, B, D, E

Nearly everything except choice C is true.

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

Explanation:

Answer:

See below

Step-by-step explanation:

Answer:

The illustration is approximately 226 times larder than the actual pollen grain.

Step-by-step explanation:

First of all, we have to write out the size of the actual pollen grain in a manner that is easy for us to work with.

This will be

\((\frac{3}{10}) ^{3}=0.027cm\) wide

The original width of the pollen is 0.027 cm.

Next,

We can take the width of the illustration to be 6.10 cm  wide.

After this,

To get the magnification factor, we will have to use the formula

Magnification = illustrated size/ actual size

This will be the magnification = \(6.10/0.027\) = 255.92 times

Hence, the illustration is approximately 226 times larder than the actual pollen grain.

The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

More can be learned about the volume of a cube at https://brainly.com/question/1972490

#SPJ1

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

Learn more about distance between two points:

https://brainly.com/question/23848540

https://brainly.com/question/7243416

https://brainly.com/question/15973889

#SPJ1

Answer:

x-intercept: 7/30

y-intercept: −3

Step-by-step explanation:

Answer:

Step-by-step explanation:

For x-intercept:

Substitute y=0:

7x-10(0)=30

7x=30

x=30/7

For y-intercept:

Substitute x=0:

7(0)-10y=30

-10y=30

y=-30/10

y=-3

Answer:

B

Step-by-step explanation:

Yes because every x value corresponds to exactly one y value.

Answer: B

Step-by-step explanation: The basic idea of a function is you put in some value for x and you get out something for y.

So for a table to be a function, each x term

needs to corresponds to exactly one y-term.

So yes, every x-value corresponds to exactly one y-value.

A common mistake would be to say that this is not a function

because the y-value of 3 repeats twice.

However, that's ok because you don't get

different y-values for the same x.

Answer:

26ft

Step-by-step explanation:

This would form a triangle so you would use Pythagorean theorem to find the hypotenuse ( the longest side )

Answer:

8

Step-by-step explanation:

The square of a number square rooted is the number itself.

Answer:

Ben's garden has 1 rose.

Ben's garden have 4 tulips and 1 rose (equals to 5)

Ina's garden has 5 roses.

Ina's garden has 2 tulips and roses together.

There are 6 tulips altogether in both gardens.

There are 6 roses altogether in both gardens.

Step-by-step explanation:

Answer:

It is putting 1 at the place of t

so h(1)=161+5×1+1

h(1)=167

Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

Answer:500

Step-by-step explanation:

There are 100 production runs from each plant should be ordered to minimize the cost.

What is Production?

The process of making or manufacturing goods and products from raw materials or components is called Production.

The Macon plant produce 1 ton of LP and 3 tons of HP in single operation, and it charge $600 for what is produced in one operation.

And, One operation of Jonestown plant produce 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation.

And, A customer needs at least 100 tons of LP and 180 tons of HP,

Now, A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon and Jonestown) as,

= (0, 180), (40, 60), (100, 0).

Hence, By checking costs of these solutions, we find the lowest cost to be obtained when 100 production runs should be ordered from Macon.

So, There are 100 production runs from each plant should be ordered to minimize the cost.

Learn more about the production visit:

https://brainly.com/question/26460726

#SPJ2

Answer:

it is when you do something very bad like make a rude comment

Step-by-step explanation:

hope this helps!!!!

Here are the completed tables for each sequence:

Sequence 1 Sequence 2 Ordered Pair

5                    15                   (5, 15)

6                        14               (6, 14)

7                        13             (7, 13)

8                    12                 (8, 12)

9                   11                (9, 11)

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x.

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x. This means that the two sequences are increasing at the same rate.

Learn more about Sequence on

https://brainly.com/question/6561461

#SPJ1

Answer:

The answer would be 780 miles

Step-by-step explanation:

The reason that that's the answer because since it says that they will average about 65 miles per hour on a 12 hour trip, you have to multiply 65 time 12, which is 780 miles, so

65 miles x 12 hours = 780 miles   :)

Hope this helped!

Answer:

It has letters

Step-by-step explanation:

After 2 hours, the second rescue worker finds the injured hiker and radios the first worker for help. The first worker arrives in approximately 28.5 minutes after jogging directly to the second worker at 6 mph.

We can start by finding the distances each worker covers in 2 hours.

For the first worker:

Distance = rate × time

Distance = 3.5 × 2 = 7 miles

For the second worker:

Distance = rate × time

Distance = 2.5 × 2 = 5 miles

Now we can use trigonometry to find the horizontal and vertical components of the first worker's displacement while walking:

Horizontal component = 7 × sin(25°) ≈ 3.01 miles

Vertical component = 7 × cos(25°) ≈ 6.30 miles

Similarly, we can find the horizontal and vertical components of the second worker's displacement:

Horizontal component = 5 × sin(54°) ≈ 4.07 miles

Vertical component = 5 × cos(54°) ≈ 3.62 miles

We can now find the horizontal and vertical components of the distance between the two workers:

Horizontal component = 3.01 - 4.07 ≈ -1.06 miles

Vertical component = 6.30 - 3.62 ≈ 2.68 miles

The distance between the two workers is the hypotenuse of a right triangle with these components as its legs:

Distance = √((-1.06)² + (2.68)²) ≈ 2.85 miles

Finally, we can find the time it takes for the first worker to cover this distance at 6 mi/h:

Time = Distance ÷ rate

Time = 2.85 ÷ 6 ≈ 0.475 hours or 28.5 minutes

Therefore, it will take the first worker about 28.5 minutes to arrive.

Learn more about kinematics here: brainly.com/question/7590442

#SPJ4

Answer:

52 cards

Step-by-step explanation:

the colors I am not sure of thought sorry

Answer:

The solution of both equations is all points on the line, therefore, John is not correct.

Given that,

The system of equations is as follows;

According to the question,

To determine the solution of the system of equation following all the steps given below.

Dividing equation 2 by 2,

After being divided by 2 the equation becomes the same.

In the case of parallel lines, there are no common points.

Intersecting lines have one point in common and coincident lines have infinitely many points in common.

A two-variable system of equations is considered as equations of two lines and they can have infinitely many solutions if these two lines are parallel where they can be expressed as multiples of each other,

Hence, the solution of both equations is all points on the line, therefore, John is not correct.

Step-by-step explanation:

ohhh and pls make me branliest

Answer:

-20

Step-by-step explanation:

Complete the square to find the vertex of this parablola x^2-8x-y-4=0   {the second one of -20; so 4,-20}

Step-by-step explanation:

The answer would be (4,-20)

Fill in 4 and -20

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

Learn more about Income Tax here:

https://brainly.com/question/34135935

#SPJ2

The linear cost function is C(x) = 15x + 3250 and the cost function in marginal cost: $15; 150 items cost $5500 to produce is $ 5500 .

Let C(x) is that the total value, and x is that the range of things.

The slope "m" is named the cost and "b" is named the charge.

The value of m is $15 and the price of "x" is 150.

Total cost of 150 items are $5500

Substitute all the values within the equation (1) , we get

   5500 = 15 (150) + b

    5500 = 2250 + b

    3250 = b

Hence , linear cost function is given by C(x) = 15x + 3250

Learn more about linear cost function here :

https://brainly.com/question/4025726

#SPJ9

Note that the following is a rectangle, the angles are computed as follows:

Given that the following is a rectangle, the answers will be based on the properties of a rectangle which are given as follows:


Where the above figure is a regular quadrilateral, the properties are given as follows:

Learn more about Rectangles:
https://brainly.com/question/28993977
#SPJ1

Answer: 2:7 is equivalent to 7:2.

Answer: I believe the answer is C.

If I am wrong, please let me know! We are all learning together! :)

Have a good day/night!

The solution to the system of equations is x = 6 and  y = -5, which is the same as we obtained using the elimination method.

A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously. The given system of equations is:

2x + y = 7 ---(1)

x + y = 1 ---(2)

To solve this system, we can use the method of elimination or substitution.

Method 1: Elimination

In this method, we eliminate one of the variables by adding or subtracting the two equations. To do this, we need to multiply one or both equations by a suitable constant so that the coefficients of one of the variables become equal in magnitude but opposite in sign.

Let's multiply equation (2) by -2, so that the coefficient of y in both equations becomes equal in magnitude but opposite in sign:

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

Multiplying equation

(2) by -2-2x - 2y = -2

Now we can add the two equations (1) and (-2x - 2y = -2) to eliminate y:

2x + y = 7(-2x - 2y = -2)0x - y = 5

We now have a new equation in which y is isolated.

To solve for y, we can multiply both sides by -1:

-1(-y) = -1(5)y = -5

Now that we know y = -5, we can substitute this value into equation (2) to find x:x + y = 1x + (-5) = 1x = 6

Therefore, the solution to the system of equations is (x,y) = (6,-5).

Method 2: Substitution

In this method, we solve one of the equations for one variable in terms of the other variable and substitute this expression into the other equation to get an equation with only one variable.

From equation (2), we can solve for y in terms of x:y = 1 - x

We can then substitute this expression for y into equation (1):2x + y = 72x + (1 - x) = 7 --Substituting y = 1 - xx + 1 = 7x = 6

Now that we know x = 6, we can substitute this value into equation (2) to find y:x + y = 16 + y = 1 --Substituting x = 6y = -5

Therefore, the solution to the system of equations is (x,y) = (6,-5), which is the same as we obtained using the elimination method.

To learn more about the system of equations visit:

brainly.com/question/25976025

#SPJ1

The imaginary number 'i" can be written in another form below:

Whenever we have the root of a negative number, we use the imaginary number 'i' to write it in an easier form.

For example:

Therefore:

The magnitude of the skateboard's displacement down the ramp is 7 feet.

In physics, magnitude refers to the numerical value or size of a physical quantity, such as distance, force or velocity.

The given problem, we are asked to determine the magnitude of the skateboard's displacement down the ramp.

We can use trigonometry, which is a branch of mathematics that deals with the relationships between the sides and angles of triangles. Specifically, we can use the sine function, which relates the opposite side of a right triangle to the hypotenuse and the sine of the angle opposite the side.

The skateboard's displacement down the ramp forms the opposite side of a right triangle and the hypotenuse is the distance the skateboard traveled down the ramp.

The formula for the magnitude of the skateboard's displacement down the ramp is:

magnitude = distance × sin(angle)

where "distance" is the distance traveled down the ramp and "angle" is the inclination of the ramp in degrees.

Plugging in the given values, we get:

magnitude = 14 feet × sin(30 degrees)

Using a calculator, we can find that sin(30 degrees) = 0.5, so:

magnitude = 14 feet × 0.5

magnitude = 7 feet

This means that the skateboard traveled 7 feet vertically down the ramp while traveling 14 feet horizontally.

It's worth noting that this calculation assumes that the ramp is a straight line and doesn't take into account any curves or changes in elevation.

Additionally, it assumes that the skateboard's velocity remains constant throughout the ride down the ramp may not be the case in reality.

For similar questions on magnitude

https://brainly.com/question/24468862

#SPJ11

a.) So the monthly payment is $550.27. b.) the total amount paid over the term of the loan is $99,048.60. c.)  Approximately 50.43% of the total amount paid goes towards principal, and 49.57% goes towards interest.

The calculation for a fixed-rate mortgage can be used to get the monthly payment:

Monthly Payment is equal to P * r * [(1 + r)n - 1] / [(1 + r)n]

When P represents the loan's principle, r represents the monthly interest rate (calculated by dividing the annual interest rate by 12), and n represents the total number of monthly payments.

When we enter the values, we obtain:

Monthly Payment is equal to 50,000 * (0.11/12) * (1 + 0.11/12) * [((1 + 0.11/12))*180 - 1)]

= $550.27 (rounded to the nearest cent) (rounded to the nearest cent)

the amount due each month is $550.27.

We can multiply the monthly payment by the number of payments to get the total amount paid over the course of the loan. There will be 180 payments total in this instance (15 years times 12 months per year).

Monthly Payment * Number of Payments = $550.27 * 180 to get the total amount paid.

= $99,048.60 (rounded to the nearest cent) (rounded to the nearest cent)

Hence, the total amount paid during the loan's period is $99,048.60.

An amortization schedule can be used to calculate the portion of the total payment that goes to principle and interest. According to this arrangement, the principal and interest portions of each monthly payment are separated.

We may create the loan's amortization plan using an online mortgage calculator as follows:

Month      Payment      Principal      Interest      Balance

1                $550.27      $265.85      $284.42     $49,734.15

2               $550.27      $265.85      $284.42     $49,734.15

...                    ...                ...                   ...                    ...

179             $550.27      $529.26     $21.02        $840.96

180             $550.27      $532.69     $17.58        $0.00

This table shows that the total amount paid in interest is $49,048.60, whereas the total amount paid in principal during the course of the loan is $50,000 (the original loan amount).

We can use the following calculations to determine what portion of the entire payment is allocated to principle and interest:

Principal Paid / Total Paid * 100% = $50,000 / $99,048.60 * 100% is the percentage of principal.

= 50.43%

Interest Paid / Total Paid * 100% = $49,048.60 / $99,048.60 * 100% = 49.57% is the percentage of interest.

Hence, around 49.57% of the total payment is spent on interest, and 50.43% is spent on principal.

Learn more about Simple interest here:

brainly.com/question/30964674

#SPJ1

Complete question is: Consider a home mortgage of ​$5000 at a fixed APR of 7​% for 12years.

a. Calculate the monthly payment.

b. Determine the total amount paid over the term of the loan.

c. Of the total amount​ paid, what percentage is paid toward the principal and what percentage is paid for interest.