Enter an equation in slope-intercept form for the line that passes through (0, 0) and is parallel to the line described by y = − 3/4x + 5.

Answer:

try looking it up on socratic

Answer:

-5

Step-by-step explanation:

The common ratio is what you have to multiply one term by to get the next term.

so:

\(18 \times r = -90\\-90 \times r = 450\)

where r is the common ratio

We can solve these equations:

-90 / 18 = -5

450/-90 = -5

therefore the common ratio is -5

Answer:

(P - 1.50) / 16

Step-by-step explanation:

Given that:

Intention = 16 pounds of apple at Kyle's orchard should be $1.50 less than 16 pounds of apple t Pam's orchard.

Let cost of 16 pounds apple at Pam's orchard = p

Kyle's charge per pound will be :

Cost of 16 pound apple at Kyle's orchard :

p - $1.50

If 16 pounds of apple cost p - 1.50

1 pound of apple will cost :

(P - 1.50) / 16

The model predicts that there are approximately 0.012456 (71/5700) restaurants per capita in the year 2016

To determine the number of restaurants per capita, we need to divide the number of restaurants (R) by the population (p). Given that R = 6t + 35 and p = 200t + 4500, we can substitute these values into the equation for restaurants per capita.

Restaurants per capita = R / p

Substituting the given equations, we get:

Restaurants per capita = \((6t + 35) / (200t + 4500)\)

To find the number of restaurants per capita for the year 2016, we need to calculate the value of t for that year. Since t represents years after 2010, in 2016, t would be 6 (2016 - 2010 = 6).

Restaurants per capita (2016) = \((6 * 6 + 35) / (200 * 6 + 4500)\)

= \((36 + 35) / (1200 + 4500)\)

= 71 / 5700

This means that, on average, there is roughly one restaurant for every 80 people in the town. Please note that this prediction is based on the given growth equations and assumes a linear relationship between population and the number of restaurants.

for more such questions on equation

https://brainly.com/question/17145398

#SPJ8

Answer:

2sqrt(3),-2sqrt(3)

Step-by-step explanation:

12-x^2=0

-x^2=-12

x^2=12

x=-sqrt(12),sqrt(12)

x=2sqrt(3),-2sqrt(3)

The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

Learn more about  3D structure from

https://brainly.com/question/25420019

#SPJ1

See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

Answer:

Linear function

Explanation:

Given the scattered plot in the attached image.

We want to identify the type of function that can best model the given scattered plot.

The scattered point as shown in the attached image form a straight line, So, the best type of function that can best model it is a linear function (straight-line graph).

Answer:

Step-by-step explanation:

y - 7 = -3(x - 2)

y - 7 = -3x + 6

y = -3x + 13

Answer:

x = 13 and x = 1

Step-by-step explanation:

(x-7)² = 36

simplify left side of equation

x² - 14x + 49 = 36

Our object now is to get every thing on the left side of the equal sign so we can factor. To do this, we subtract 36 from both sides

x² - 14x + 13 = 0

we then factor the left side of the equation

( x - 1 ) ( x - 13 ) = 0

we then set factors equal to 0 and solve both factors for x

x - 1 = 0

add 1 to both sides

x = 1

x - 13 = 0

add 13 to both sides

x = 13

The values of x are x = 13 and x = 1

Answer:

-7 - (-7)

Step-by-step explanation:

The correct answer is not -7 + (-7) because adding a negative is basically subtracting. So -7 + (-7) is -14. However, subtracting a negative is basically adding, so -7 - (-7) is 0.

0 > -14

Answer:

-7 - (-7) is the greater number

Step-by-step explanation:

-7 + (-7) = -14

-7 - (-7) = 0

Zero is always greater than a negative number

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Based on the given information , the proof of triangle PQR ≅ triangle PSR is shown below .

In the question ,

two triangles PQR and PSR are given where ;

it is given that side  QR ≅ SR

and  PQ ≅ PS .

we have to prove that ΔPQR congruent to ΔPSR .

In triangle PQR and triangle PSR .

side QR = side SR              .....given that QR ≅ SR ;

side PQ = side PS              .....given that PQ ≅ PS ;

side PR = side PR              .....because PR is the common side ;

Hence by SSS congruence , triangle PQR ≅ triangle PSR .

Therefore , it is proved that  triangle PQR ≅ triangle PSR  .

Learn more about Congruence here

brainly.com/question/25827423

#SPJ4

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)

Answer:

B

Step-by-step explanation: Differences between squares.

9x^2-4

(3^2) (x^2) -(2^2)

(3x-2)(3x+2)

The surface area of the cylinder is 6764π mm².

Given the radius of the cylinder is 38 mm and

the height of the cylinder is 51 mm.

we are asked to determine the surface area = ?

we know that surface area of a cylinder = 2πrh + 2πr²

given, r = 38 mm

h = 51 mm

substitute the above values to get the surface area.

A = 2πrh + 2πr²

A = 2π(38)(51) + 2π(38)²

A = 2π(1938) + 2π(1444) mm²

A = 3876π + 2888π mm²

A = 6764π mm²

Hence the surface area of the cylinder is 6764 mm² in terms of π.

Learn more about Mensuration here:

brainly.com/question/76387

#SPJ9

By finding a common factor, we can rewrite the expression as:

54 + 72 = 18*(3 + 4)

The distributive property says that we can write:

C*(A + B) = C*A + C*B

In this case, we want to rewrite the expression:

54 + 72

So the first thing we need to find is a common factor between these two numbers.

We can rewrite these as:

54 = 2*3*3*3

72 = 2*2*2*3*3

The maximum common factor between these two nmbers is:

2*3*3 = 18

Then we can rewrite:

54 = 18*3

72 = 18*4

Then we can rewrite the expression as:

54 + 72 = 18*3 + 18*4 = 18*(3 + 4)

Learn more about the distributive property:

https://brainly.com/question/4077386

#SPJ1

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

Read more on volume of prism here: brainly.com/question/21012007

#SPJ1

The completed table of values for the equation 4x + 2y = 64 is provided .

To complete the table of values for the equation 4x + 2y = 64, we can assign different values to x and solve for y. Let's choose a range of values for x and calculate the corresponding values of y.

Table of Values:

x y

0 32

4 28

8 24

12 20

16 16

20 12

24 8

28 4

32 0

To find the values of y, we substitute each x-value into the equation and solve for y. For example, when x is 0, we have 4(0) + 2y = 64, which simplifies to 2y = 64 and y = 32. Similarly, for x = 4, we have \(4(4) + 2y = 64\), which simplifies to \(16 + 2y = 64\) and\(y = 28.\)

By continuing this process for the remaining values of x, we can complete the table of values for the equation 4\(x + 2y = 64.\)

For more questions on equation

https://brainly.com/question/29174899

#SPJ8

Answer:

Terms are separated by addition signs and subtraction signs, but never by multiplication sign

Step-by-step explanation:

A polynomial with one term is called a monomial. A polynomial with two terms is called a binomial. A polynomial with three terms is called a trinomial.

Answer:

Initial balance$1000

interest rate 8%

Term 20yrs

Step-by-step explanation:

The final balance is $4,926.8.The total compound interest is $3,926.8.

The value of r is 2 %.

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given:

Principal(P)= $4540

Rate = ?

Time=10  years

CI=$1328.54

We have to find the value of r.

According to given question we have

By the use of compound interest we have

\(CI=p((1+\frac{r}{100} )^{10} -1)\\\\1328.54 =4540 ((1+\frac{r}{100} )^{10} -1)\\\\\0.292= ((1+\frac{r}{100} )^{10} -1)\\\)

After simplifying we get,

r=2 %

Therefore, the value of r is 2 %.

Learn more details about simple & compound interest here:

https://brainly.com/question/22621039

#SPJ1

The answer is x4 = input.nextDouble() and double avgnumber = (x1 + x2 + x3 + x4) / 4.

Declare the double variables x1, x2, x3, and x4.
double x1, x2, x3, x4;
Read each variable from input in that order.
Scanner input = new Scanner(System.in);
System.out.println("Enter x1:");
x1 = input.nextDouble();
System.out.println("Enter x2:");
x2 = input.nextDouble();
System.out.println("Enter x3:");
x3 = input.nextDouble();
System.out.println("Enter x4:");
x4 = input.nextDouble();
To Find the average of x1, x2, x3, and x4 and assign the result to avgnumber.
double avgnumber = (x1 + x2 + x3 + x4) / 4;

//This code takes four double variables from input and calculates the average by adding the four numbers together and dividing by four. The result is stored in the double variable avgnumber.

To know more about average here

https://brainly.com/question/24057012

#SPJ4

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

More can be learned about fractions at brainly.com/question/1622425

#SPJ1

Answer:

  y = -x +3

Step-by-step explanation:

You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For the given equations, we can put them in this form to find the desired parameters.

  -3y = -9 +3x

  y = -x +3 . . . . . . . . . . divide both sides by -3

We observe that the y-intercept is +3, which we will need for our answer.

The slope-intercept form of the second equation is ...

  -2x -2y = -8

  x + y = 4 . . . . . . . . . . divide by -2

  y = -x +4 . . . . . . . . . . subtract x

We observe that the slope (coefficient of x) is -1, which we will need for our answer.

We want the equation of the line with slope -1 and y-intercept 3. It is ...

  y = -x +3 . . . . . . . . . . same as the equation of the first line

__

Additional comment

The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)

(a) interest is 557.33

(b) the amoutn owned after 11 months is 3757.33

Explanation

the simple interest formula is given by

Step 1

a)let

to know the rate per month, divide by 12

now, as we are using the rate per mont, we need to use the time in month also, so

let

now, replace

so,

(a) interest is 557.33

Step 2

(b) now, to know the total value to pay, we need to add the principal and teh interest, so

replace

so

(b) the amoutn owned after 11 months is 3757.33

I hope this helps you

To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

For such more question on months

https://brainly.com/question/5010192

#SPJ8

The function that describes the exponential growth is P(t) = 21100 \(e^{0.09t}\) and the population in 2008/ will be 43348.54.

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

(a)

As per the given,

Growth rate r = 9 % = 0.09

Population in 2000 (t = 0)  is 21100

The formula for exponential growth is given as,

P(t) = P₀e^(rt)

P(t) = 21100 e^(0.09 x t)

P(t) = 21100 \(e^{0.09t}\)

(b)

The number of population in 2008 (t = 8) will be as.,

P(8) = 21100 e^(0.09 x 8)

P(8) = 43348.54

Hence "The function that describes the exponential growth is P(t) = 21100 \(e^{0.09t}\) and the population in 2008/ will be 43348.54".

For more about exponential function,

https://brainly.com/question/15352175

#SPJ1

Given :

The circumference of the circle = 25 feet

π = 3.14

The circumference of the circle =

Where r is the radius and d is the diameter

so,

if we rounded to the nearest feet, the diameter = 8 feet

Answer:

x = 20

Step-by-step explanation:

We know that the vertically opposite angles are equal.

Accordingly,

41 = 2x + 1

Subtract 1 from both sides.

41 - 1 = 2x

40 = 2x

Divide both sides by 2.

x = 20

The polynomial 7/4x + 3 is a linear polynomial as its degree is 1

Degree is known as the highest power of the variable x in a given polynomial.

According to the degree,

If degree is 1 then the polynomial is called linear polynomial.

If degree is 2 the it is called quadratic polynomial.

If degree is 3 then it is called cubic polynomial and so on

In the given question the polynomial is 7/4x + 3. Here the degree of the polynomial is 1 that is the highest power of the variable x. Thus the polynomial will be linear polynomial.

Hence the polynomial 7/4x + 3 is linear polynomial.

Learn more about degree here  : https://brainly.com/question/16897387

#SPJ9