Indicate in standard form the equation of the line passing through the given point and having the given slope
R(4,0),m=5

Answer:

Well, since they are lined up correctly already, you can combine the like terms and get 4x + 3y = 2.

Is that all you wanted?

Answer:

A) 3x - y = -5

B) x + 4y = 7

Whenever you have to solve for 2 unknowns, you need 2 equations.  (These are called solving simultaneous equations.)

Perhaps the easiest way to solve these is by the elimination of variables.

Looking at Equation A) we see that if we multiply it by 4, and add it to equation B), the "y" variable will be eliminated.

Multiplying equation A) by 4 we get

A) 12x - 4y = -20   then adding this to B)

B) x + 4y = 7   we get

EDITD TO CORRECT**************************************************

13x = -13

x = -13 / 13= -1

Then we can get x = -1 and insert it into either equation.  (Let's choose B)

B) -1 + 4y = 7

B) 4y = 8

y = 2

*******************************************************************************************

For a double-check we can insert x = -1 and y = 2 into either equation.  (Let's choose equation B)

B)  -1 + 4 * 2 = 7

B)  -1 + 8 = 7

And since -1 + 8 DOES equal 7, we know that we have solved for "x" and "y" correctly!

Source:

https://en.wikipedia.org/wiki/System_of_linear_equations

Elimination of variables

Step-by-step explanation:

Answer:

FALSE

Step-by-step explanation:

  F = (N - O)/R     Multiply both sides by R

RF = N – O          Divide both sides by F

 R = (N – O)/F

FALSE. The given solution is incorrect.

Final answer:

The statement provided is false. The correct formula for vascular resistance R in terms of blood flow F, inlet pressure N, and outlet pressure O should be R = (N - O) / F.

Explanation:

The statement is false. The correctly solved equation for vascular resistance R, based on the formula F = (N - O) / R where F is blood flow rate, N is the pressure at the inlet, O is the pressure at the outlet, would be R = (N - O) / F. If we isolate R in the equation by multiplying both sides by R and dividing by F, we would get R = (N - O) / F, not R = F + O - N as incorrectly stated in the question.

To further understand the relationships among the factors affecting blood flow, the Poiseuille's equation plays a significant role. This equation includes critical variables like the radius (r) to the fourth power, vessel length (λ), and viscosity (n) of the fluid. Changes in these variables can significantly affect blood flow and resistance within the vascular system.

Answer: 0.4 which is choice C

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

Work Shown

Focus on the "riverside high school" row only

A = number of twelfth graders = 200

B = number of students = 500

P = probability of picking a twelfth grader

P = A/B

P = 200/500

P = 2/5

P = 0.4

The probability that a randomly selected riverside high school student is in twelfth grade is 0.4

The probability of an event occurring, it is calculated by the ratio of favorable cases to the total number of possible cases.

P(Event) = Favorable outcomes/ Total no. of outcomes

Now, the total no. of students studying in Riverside High School = 500

The no. of students studying in 12th grade in Riverside High School= 200

P(student in 12th grade in Riverside High School) = 200/500

P(student in 12th grade in Riverside High School) = 0.4

Hence the probability that a randomly selected riverside high school student is in twelfth grade is 0.4.

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To find the volume of a rectangular prism, multiply the length, width, and height. The formula is V = l * w * h.

To find the volume of a rectangular prism, you need to multiply the length, width, and height of the prism.

The formula for the volume of a rectangular prism is: V = l * w * h.

So, to find the volume of a rectangular prism, you need to know the measurements of its length (l), width (w), and height (h) in the same unit of measurement.

Multiply these values together to find the volume in cubic units (such as cubic centimeters or cubic meters).

For example, if a rectangular prism has a length of 5 centimeters, a width of 3 centimeters, and a height of 2 centimeters, you would calculate the volume as follows: V = 5 cm * 3 cm * 2 cm = 30 cm³.

The volume of the rectangular prism, obtained from the product of the known face area and the width is 11 2/3 cube units

Volume = 11 2/3 units³

The details of the steps used to find the volume of the prism can be presented as follows;

The dimensions of the rectangular prism includes a face area and the width of the prism

Area of a face of the rectangle = 3 1/3 square units

Width of the rectangular prism = 1 2/5 units

Area of a rectangular prism = Length × Width × Height

The length and the height of the rectangular prism form the face with the known area of 3 1/3 square units

Therefore; Area of a rectangular prism = Width × Area of the vertical face perpendicular to the width of the rectangular prism

Area of a rectangular prism = 1 2/5 units × 3 1/3 square units

1 2/5 units × 3 1/3 square units = (7/2) × (10/3)

(7/2) × (10/3) = 70/6

70/6 = 11 2/3

Area of the rectangular prism is 11 2/3 units³

Answer:

22.8 and 37.5

Step-by-step explanation:

Given the

The weights (in pounds) of 18 preschool children are

32, 20, 25, 27, 31, 22, 30, 23, 44, 37, 33, 45, 41, 24, 34, 21, 39, 29

To find its 20th percentile and 75th percentile.

In ascending order we get like this

Position  X (Asc. Order)

1  20

2  21

3  22

4  23

5  24

6  25

7  27

8  29

9  30

10  31

11  32

12  33

13  34

14  37

15  39

16  41

17  44

18  45

Percentile position = (no of entries +1)20/100 = 19/5 = 3.8

Since posiiton is not integer we use interpolation method.

The value of 3.8 - 3 = 0.8 corresponds to the proportion of the distance between 22 and 23 where the percentile we are looking for is located at.

Hence 20th percentile = [tex]22+0.8(23-22)=22.8[/tex]

So answer is 22.8

----------------------

75th percentile

Percentile posiiton = 19(75)/100 = 14.25

75th percentile= [tex]37+0.25(39-37)=37.5[/tex]

Answer:

22.8 and 37.5

[tex]\begin{array}{ccc}6\ weeks&-&12\ kg\\9\ weeks&-&x\ kg\end{array}\qquad\text{cross multiply}\\\\(6)(x)=(9)(12)\\\\6x=108\qquad\text{divide both sides by 6}\\\\\boxed{x=18}\\\\Answer:\ \text{Eli's office recycled 18\ kg\ of\ paper.}[/tex]

Answer:

The majority of the data is to the left of the mean or The majority of the data is split to the right and left of the mean.

hope this helps

Step-by-step explanation:

A. The majority of the data is to the left of the mean

Answer:

Can i have a picture of the model

Step-by-step explanation:

Answer:

328 chairs

Step-by-step explanation:

40×35%=14 tables ×8=112

36remaining tables×6=216

216+112= 328

Total=328

Answer:

the third one............ not the second

Step-by-step explanation:

The graph of the absolute function f(x) = |2x| is option B

The graph of an absolute function, also known as an absolute value function, is a V-shaped graph that is symmetric with respect to the y-axis. The absolute value function is defined as:

f(x) = |x|,

where |x| represents the absolute value of x.

The graph of the absolute value function consists of two parts:

Using a graphing calculator;

f(x) = 2|x|

The graph of the function is attached below;

From the graph attached below the answer is option B.

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Answer: Draw a line through the two points (0,2) and (3,3). See the attached image below.

How did I get these two points? The first point comes from the fact that "at the start, the height is 2 inches" meaning that x = 0 hours and y = 2 inches pair up together. This is show as point A. This is the y intercept as this is the location where the blue graph crosses the vertical y axis.

Point B is found by moving 1 unit up from point A and 3 units to the right to land on (3,3). So we have x = 3 hours and y = 3 inches pair up together.

Note: the slope is rise/run = 1/3 helping us determine the unit rate or speed in which the water is rising (ie the water is rising one-third of an inch per hour)

Answer:

see explanation

Step-by-step explanation:

(4 + i) → first quadrant

(- 2 + 2i) → second quadrant

(- 1 - 3i) → third quadrant

(3 - 4i) → fourth quadrant

Answer:

For #5, there are no solutions because when you solve 3(-2x+y)=12, you get y=2x +4. It has the same slope with the first equation but a different y-intercept meaning that they are parallel lines and won’t intersect

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

all that happned was community property if numbers are switced around in an addition sentence then the answer will always be the same

Answer:

    Statement 3 as well as statement 1 are true

Step-by-step explanation:

Answer:

1.function 1 has a greater rate of change than function 2

3. Function 1 has a greater y-intercept than function 2

Step-by-step explanation:

Using the table we can find the slope using

m = (y2-y1)/ (x2-x1)

m = (29-5)/ (8-0)

     = 24/8

    = 3

The rate of change for the table is 3

The y intercept is (0,5)  

Using the graph  (0,-1)  and (2,0)

m = (y2-y1)/ (x2-x1)

m = (0--1)/ (2-0)

     = (0+1)/2

    = 1/2

The y intercept is (0,-1)

Since 3>1/2 , function 1 has a greater rate of change than function 2

Since 5>-1, function 1 has a greater y-intercept than function 2

Answer:

There are no solutions

Step-by-step explanation:

4x-1 = 2(2x-1)

The first step is to distribute the 2

4x-1 = 2*2x-2*1

4x-1 = 4x-2

Subtract 4x from each side

4x-4x-1 = 4x-4x-2

-1=-2

Since this is not true, there are no solutions

Answer: 1. mentally ill people

2. c

3.answer choices ?

Step-by-step explanation:

⭕ 11\16= %

⭕ 11÷16= 68.75%

⭕ 68.75%

To convert a fraction to a percentage, we would multiply the fraction by 100%, and the result would be the percentage.

In this case:

11/16 x 100%

=0.6875 x 100%

=68.75%

Therefore the answer is 68.75%

Hope it helps!

Answer:

the answer is 9.9

Step-by-step explanation:

12.1-2.2=9.9

The elevation of Tammy’s house is greater than the elevation of the ocean’s surface at 2 p.m. will be 9.9.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, on Tuesday at 2 p.m., the ocean’s surface at the beach was at an elevation of 2.2 feet. Winston’s house is at an elevation of 12.1 feet. The elevation of his friend Tammy’s house is 3 1/2 times the elevation of Winston’s house.

We have to find the elevation of Tammy’s house greater than the elevation of the ocean’s surface at 2 p.m.

Suppose the greater is the elevation of Tammy’s house than the elevation of the ocean’s surface at 2 p.m be x,

x=12.1-2.2

x=9.9

Thus, the elevation of Tammy’s house is greater than the elevation of the ocean’s surface at 2 p.m. will be 9.9.

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Answer:

Side EH

Step-by-step explanation:

Side AD is proportional to side EH. If you look at ABCD, and compare it to EFGH, the ends of the name, AD, correspond with the ends of the other, EH.

Side AD of trapezoid ABCD is proportional to side EH of trapezoid EFGH due to the properties of similar geometric figures, where corresponding sides of similar shapes are in proportion.

The question asks which side of trapezoid EFGH is proportional to side AD of trapezoid ABCD, given that the two trapezoids are similar. In similar figures, corresponding sides are proportional. Therefore, if side AD of trapezoid ABCD corresponds to side EH of trapezoid EFGH, then these sides are proportional to each other.

Since we are discussing proportions and similarity of shapes, particularly trapezoids, we can reference several mathematical concepts. By the AAA theorem, which stands for angle-angle-angle, we know that if two or more corresponding angles in two figures are equal, then the figures are similar and the sides opposite these angles are proportional. Also, the proportions of corresponding sides can be determined using theorems regarding triangles and trapezoids.

We conclude that side AD is proportional to side EH because of the properties of similar geometric figures.

Answer:

E

Step-by-step explanation:

57 - 36 =  21              6 - 4 = 2 seconds

21 ÷ 2 = 10.5

Answer:

The average speed of runner is given by option d) 10.5 meters per second.

Step-by-step explanation:

We are given the following information in the question:

A runner’s time was 4 seconds at the 36-meter mark.

A runner’s time was 6 seconds at the 57-meter mark.

Formula:

[tex]\text{Average speed} = \displaystyle\frac{y_2-y_1}{x_2-x_1}\\\\\text{where}, y_2, y_1 \text{are the distances at time} x_2, x_1 \text{respectively.}[/tex]

Putting the given values in the question, we have:

[tex]\text{Average speed} = \displaystyle\frac{57-36}{6-4} = \frac{21}{2} = 10.5\text{ meter per second}[/tex]

Hence, the average speed of runner is given by option d) 10.5 meters per second.

[tex]f(x)=6x^2-3,\ f(x)=3\\\\\text{The equation}\\\\6x^2-3=3\qquad\text{add 3 to both sides}\\\\6x^2=6\qquad\text{divide both sides by 6}\\\\x^2=1\to x=\pm\sqrt1\\\\\boxed{x=-1\ \vee\ x=1}[/tex]

Answer:

14 cookies were baked

Step-by-step explanation:

Using a system of equations, we find that 21 cookies were sold after setting up the equations based on cost per item and total sales, and solving for the two variables representing cookies and cupcakes.

The student's question is about how many cookies were sold given that a cookie costs $0.45 and a cupcake costs $0.65, and 35 baked goods in total were sold for $18.55.

To solve this, we can set up a system of equations:

Let x represent the number of cookies sold.

Let y represent the number of cupcakes sold.

We are given two equations based on the problem statement:

x + y = 35 (since 35 total baked goods were sold)

0.45x + 0.65y = 18.55 (since the total cost of the goods sold was $18.55)

Solving the system of equations, we first multiply the first equation by 0.45:

(1) 0.45x + 0.45y = 15.75

Subtract this from the second equation:

0.20y = 2.80 (subtracting the first modified equation from the second original equation)

Divide both sides by 0.20 to find y:

y = 14

Then we substitute y into the first equation to find x:

x + 14 = 35

x = 21

So 21 cookies were sold.

Answer: 35 liters

Step-by-step explanation:

Volume of 1 marble = 0.04 Liters

volume of 50 marbles = 50 x 0.04 liters = 2 liters

volume of water added =  33 liters ( Given)

Volume of tank = Volume of water + Volume of 50  marbles

                          =      33 liters + 2 liters

                          =    35 liters

Answer:

144

Step-by-step explanation:

Perfect square formula: a^2 - 2ab + b^2 (because that equals (a-b)^2)

x^2-2*12x+c

a = 1

b = 12

12^2 = 144

Answer:

The value of [tex]c =144[/tex] makes [tex]x^{2}-24x+c[/tex] perfect square.

Step-by-step explanation:

We have to make [tex]x^{2}-24x+c[/tex]

Since, Perfect square formula: [tex]a^{2} - 2ab + b^{2}=(a-b)^{2}[/tex]

Re-write [tex]x^{2}-24x+c[/tex] as,

[tex]x^{2}-2\times 12x+c[/tex]

Compare above with [tex]a^{2} - 2ab + b^{2}[/tex]

Where a = x  and b= 12

so, [tex]b=12[/tex]

⇒ [tex]c =12^{2}=144[/tex]

Hence, [tex](a-b)^{2}=(x-12)^{2}[/tex]

Therefore, the value of [tex]c =144[/tex] makes [tex]x^{2}-24x+c[/tex] perfect square.

Answer:

Convert 4 1/2 inches to a decimal = 11.43 cm

Step-by-step explanation:

Answer:

I would say 4.5 in.

I hope this helps!

Cheers, July.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

The correct answer would be, B, one

Step-by-step explanation:

Answer:

47.8% increase, or B since it's the closest.

Step-by-step explanation:

Answer:The answer to this problem is actually 69.9%

Step-by-step explanation:

Answer:

A. 50%; This percentage is lower than expected in a normal distribution

Answer:

A) 50%; This percentage is lower than expected in a normal distribution.

Step-by-step explanation:

Data points given:

55, 54, 66, 38, 53, 56, 57, 66, 45, 65

n = 10

The mean for the data points:

[tex] \frac{55+54+66+38+53+56+57+66+45+65}{10} [/tex]

Mean = 55.5

Standard deviation of data points:

[tex] = \sqrt{\frac{55-55.5)^2+(54-55.5)^2+(66+55.5)^2+(38-55.5)^2+(53-55.5)^2+(56-55.5)^2+(57-55.5)^2+(66-55.5)^2+(45-55)^2+(65-55)^2}{10}} [/tex]

= 8.59

Now let's find the data points that lie between 64.09 i.e (55.5 + 8.59) and 46.91 i.e (55.5-8.59)

We can see that 5 data points lie between 64.09 and 46.91 which are { 55,54,53,56,57}

The correct option is A, which states that 50% percentage is lowee than expected.

Answer:

The oldest brother is 20 years old.  PLEASE GIVE BRAINLIEST!!!

Step-by-step explanation:

Youngest = 5x - (x+4) = 60                           Oldest = 5x - 60

                   5x - 1(x+4) = 60                                5(16) - 60 =

                   5x - x - 4 = 60                                  80 - 60 = 20

                   4x - 4 = 60

                    4x = 60 + 4

                  4x = 64    

                    x = 64 ÷ 4    x = 16

Youngest = 16

Middle = 18

Oldest = 20

Answer:

the older brothers age is 20 years old have a fantastic day or evening :)

Step-by-step explanation: