What is equation of the line graphed below. Y= - 5/2 x-2 -this question was accidentally cut out
Answer:
y = - [tex]\frac{5}{2}[/tex] x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = [tex]\frac{-2-3}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = - [tex]\frac{5}{2}[/tex] x - 2 ← equation of line
What is 47% of 900?
Enter your answer in the box.
Answer:
To find 47% of 900, you can multiply 900 by 0.47, which represents 47% as a decimal:
47% = 47/100 = 0.47
So, 47% of 900 is:
0.47 x 900 = 423
Therefore, 47% of 900 is 423.
Convert 47% to a decimal
= 47% = 47/100 = 0.47
47%= 0.47 × 900
=423
In a bag of 10 marbles, there are 4 blue, 3 red, 2 green, and 1 yellow. What is the probability that you draw one marble that is blue, replace it, and draw another marble that is green? Enter your answer as a fraction in lowest terms. Do not add spaces to your answer. (EX: 1/2)
Work Shown:
A = the 1st marble is blue
B = the 2nd marble is green
Replacement is applied. This makes A and B independent.
P(A) = (4 blue)/(10 total) = 4/10 = 2/5
P(B) = (2 green)/(10 total) = 2/10 = 1/5
P(A and B) = P(A)*P(B) ... see note below
P(A and B) = (2/5)*(1/5)
P(A and B) = 2/25
Note: The equation is valid because events A and B are independent.
Sketch a cylinder with a diameter of 6 centimeters and a volume of 36pi cubic centimeters label your sketch with the cylinder radius and height
The sketch of cylinder is shown in the figure.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.
Given;
Volume=36pi
Diameter=6cm
Now,
Radius=6/2=3cm
Volume= 36pi
pi*R^2*h=36pi
3^2*h=36
h=36/6
h=6cm
Therefore, by the given volume the radius and height will be 3cm and 6cm.
Learn more about volume of cylinder here:
https://brainly.com/question/12763699
#SPJ1
The graph shows the temperature of coffee while it cools.
The coffee cools at a constant rate from 0 to 2 minutes.
Calculate the rate at which the temperature changes within this time.
ANSWER NOW ASAP PLSSSSSSSSS
The average rate of change of the temperature from 0 to 2 minutes is given as follows:
-6ºC per minute.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output divided by the change in the input.
The temperatures for this problem are given as follows:
0 minutes: 74 minutes.2 minutes: 62 minutes.Hence the change in the output is given as follows:
62 - 74 = -12ºC.
The change in the input is of:
2 - 0 = 2 minutes.
Hence the rate is given as follows:
-12/2 = -6ºC per minute.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
#SPJ1
HELP!!!!!!!ASAP!!! I NEED TO SUBMIT! WILL GIVE 100 POINTS AND BRAINLIEST!!!!!!!!!!
A group of students was asked about the number of flights they have taken. The data is shown in the line plot. Which of the following best describes the spread of the data? Explain its meaning in this situation. The data has a range of 5, which is a wide spread. This means the greatest number of flights was 5. The data has a range of 15, which is a narrow spread. This means that there is not a large difference in the number of flights taken by the students. The data has a range of 5, which is a narrow spread. This means that most of the students have taken a similar number of flights. The data has a range of 15, which is a wide spread. This means that there is a difference of 15 flights between each of the students.
Answer:
In the case presented, the range is the difference between the maximum value and the minimum value of the data. The range describes the breadth of the data and how much they vary from the minimum value to the maximum value. Therefore, the range indicates the dispersion of the data.
The statement indicates that the range is 5, which means that the most flights made by students is 5. Since the data has a narrow dispersion, we can conclude that most students have taken a similar number of flights, implying that most students have flown an amount close to the maximum number observed.
Therefore, the option that best describes the dispersion of the data is: "The data has a range of 5, which is a narrow dispersion. This means that most students have taken a similar number of flights."
Step-by-step explanation:
A fitness center has several rectangular rooms where exercise classes are held. The area of Room A is 27x−18 square units. What are possible dimensions of Room A?
The possible dimensions of rectangular room A are 9 and 3x - 2.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Given:
A fitness center has several rectangular rooms where exercise classes are held.
The area of Room A is 27x − 18 square units.
The area of the rectangle = length x width
27x − 18 = length x width
9 (3x - 2) = length x width.
Therefore, 9 and 3x - 2 are the dimensions.
To learn more about the rectangular;
brainly.com/question/21416050
#SPJ1
Which expressions are equivalent to 7^{-2} times 7^{6}
Answer:
(7^2)^2
Step-by-step explanation:
(7^-2)*(7^6)=7^-2+6
......since the base 7 is the same, when u multiply them, you should add the exponents and keep 7 as it is. That will be 7^4, which in equivalent to ans D(7^2)^2
ABCD is a quadrilateral.if AL is perpendicular to BD and CM is perpendicular to BD,prove that : ar ( quad.ABCD) = 1/2 ×BD×(AL +CM )
Using the Pythagorean theorem, if AL is perpendicular to BD and CM is perpendicular to BD, then quadrilateral ABCD is a parallelogram.
How can we prove this?In a parallelogram, the opposite sides are equal in length, i.e. AL = CD and BM = AD.
By the Pythagorean theorem, we know that the length of the diagonal BD can be found as the square root of the sum of the squares of AL and CM:
BD = √(AL^2 + CM^2)
Since AL = CD, the area of quadrilateral ABCD can be found as:
ar (quad.ABCD) = AL × BD
Substituting BD = √(AL^2 + CM^2) and combining the two equal length sides, we get:
ar (quad.ABCD) = (AL + CM) × √(AL^2 + CM^2) / 2
Finally, dividing both sides by √(AL^2 + CM^2) and using the fact that BD = √(AL^2 + CM^2), we get:
ar (quad.ABCD) = 1/2 × BD × (AL + CM)
Thus, we have proved that the area of quadrilateral ABCD is equal to 1/2 × BD × (AL + CM).
learn more about Pythagorean theorem: https://brainly.com/question/343682
#SPJ1
Write the inequality for the graph below. (DO NOT put any spaces between the number, symbols, and letters.)
Answer:
y = -x +8
Step-by-step explanation:
The line crosses the x axis at 8. So we know when y = 0 then x = 8
The line cross the y axis at 8. so we know when x = 0 then y = 8
the equation of a line we know to take the form y = mx + c
When x = 0 and y = 8, and y = mx+ c then then c =8
when y = 0 x = 8. y = mx + c, 0 = m(8) +8. for this to be true m must be equal to -1
so the equation of the line, the inequality is y = -x +8
once again im tired and i dont know how to do this
The area of the triangle is less than 18 square inches. Find the possible
values of a by writing and solving an inequality.
Area of a triangle = (base height)
a
6 in
⚠️HELP IM FAILING MATH⚠️
Answer:
0 < a < 6
or
(0, 6) in interval notation
Step-by-step explanation:
The area of the triangle is
[tex]Area \;A = \dfrac{1}{2}(base \cdot height)\\[/tex]
We are given base = 6 in, height = a and area A < 18 in²
Using the formula for area we get
[tex]A = (1/2)(6 \cdot a) = 3a[/tex]
We know this area is < 18
So 3a < 18
Dividing both sides by 3 gives us
3a/3 < 18/3
a < 6
So height a must be less than 6 inches.
Height cannot be 0 so the lower bound on height is
a > 0
Putting these together we get the rang of a as
0 < a < 6
In Interval notation this is written as (0, 6)
Hope that helps you. Have confidence in yourself and seek help for your doubts here or elsewhere on the net. You will succeed
On a recent trip, Jeremy and Frank drove
790 miles on
33}, gallons of gas. How
many miles per gallon did their
car get
on this trip?
Answer: Their car got an average of 23.6 miles per gallon.
BTW I just searched it up so I'm sorry if it is wrong.
In exercise 11-14 find the value of x for each one thank you whoever gets all of it right gets brainliest photo is below please help I have one day to turn this in or I fail
Answer:
For exercise 11: x = 64
For exercise 12: x = 66
For exercise 13: x = 89
For exercise 14: x = 99
Step-by-step explanation:
The sum of interior angles of an n-sided polygon = [tex](n- 2 )[/tex] x [tex]180^{o}[/tex]
where n = number of sides
For all the four figures in this exercise, n = 4
Therefore, Sum of interior angles = [tex](4 - 2)[/tex] x [tex]180^{o}[/tex]
= 2 x [tex]180^{o}[/tex]
= [tex]360^{o}[/tex]
For Exercise 11:
[tex]x^{o} + 100^{o} + 130^{o} + 66^{o} = 360^{o}[/tex]
[tex]x^{o} + 296^{o} = 360^{o}[/tex]
[tex]x = 360 - 296[/tex]
x = [tex]64^{o}[/tex]
Apply the above stated concept in the other three exercises
whats 2848x838449 / 294949 x 3848483 + 300,000,000
lets tal.k about school im bo.re.d
Answer:
[tex]\frac{597}{283750}+3*10^8[/tex]
Step-by-step explanation:
[tex]((2848*838449)/(294949*3848483))+300,000,000\\or\\\frac{2848*838449}{294949*3848483}+300,000,000\\\\\frac{2.388*10^9}{1.135*10^{12} } +3x10^8\\\\\\\frac{597}{283750}+3*10^8[/tex]
Answer: 31457261583.3
Step-by-step explanation:
Geraldine is 4 years younger than Tom. If Tom is t years old, how old is
Geraldine? Also, if Steven is twice as old as Geraldine, how old is he?
Using equations, we know that the age of Geraldine and Steven is t - 4 and 2t - 8 respectively.
What are equations?It basically consists of a variable, perhaps with an additional numerical constant.
To easily understand this concept, consider the example below. 3x – 4 = 5. It is a straightforward class 7 equation.
The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.
So, we have the following algebraic expression after converting the word problem:
To Geraldine:
g = t - 4
To Steven:
s = 2g
Inputting Tom's age into equation 1 results in:
g = t - 4
To determine Steven's age:
s = 2(t-4)
s = 2t - 8
Therefore, using equations, we know that the age of Geraldine and Steven is t - 4 and 2t - 8 respectively.
Know more about equations here:
brainly.com/question/2972832
#SPJ1
**I WILL GIVE 50 POINTS AND BRAINLIEST**
A cone has a volume of 192π cubic inches. Its height is 9 inches, what it's radius? Show all your work.
Answer:
4.5 inches
Step-by-step explanation:
Karl hikes 3 kilometres in 36 minutes. Given that his distance is directly proportional to the time he walks, determine the constant of proportionality and write an equation to represent the direct proportion.
The constant of proportionality is 12, and the equation to represent the direct proportion is y = 12x
What is proportionality?A proportion is a comparison of two numbers that each represent the parts of a whole.
Given that, Karl hikes 3 km in 36 minutes, his distance is directly proportional to the time he walks,
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Put y = 36 and x = 3, to find the constant of proportionality,
k = 36/3
y = 12
Therefore, the constant of proportionality is 12,
The equation to represent the direct proportion =
y = 12x
Hence, the constant of proportionality is 12, and the equation to represent the direct proportion is y = 12x
Learn more about proportionality, click;
https://brainly.com/question/29126727
#SPJ1
equation in point slope from of slope of 0.25 and point of (5,-2)
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ 0.25 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ 0.25}(x-\stackrel{x_1}{5}) \implies y +2= 0.25 (x -5)[/tex]
If these two triangles are similar, find the value of x
12) through: (-1,-5), parallel to y = 3x - 4
pls help, thanks pookies!!!!
The equation of the line parallel to y = 3x - 4 is y + 5 = 3(x+1)
Equation of a line parallel to another lineThe equation of a line expressed in point slope form is expressed as:
y-y0 = m(x-x0)
where
m is the slope
(x0, y0) is any point on the line
Given the following parameters
(x0, y0) = (-1, -5)
slope of the given line is 3
Substitute
y - (-5) = 3(x-(-1))
y + 5 = 3(x+1)
Hence the required equation of the line is y + 5 = 3(x+1)
Learn more on equation of a line here: https://brainly.com/question/18831322
#SPJ1
The bookstore had 56 copies of magazine yesterday and sold 1/4 of them today sold 4/7 of what remain how many copies does the book store have 
Step-by-step explanation:
Find 1/4 of 56
56 / 4 = 14
Now
56-14=42
Now
42/7=6
6x4=24
42-24=18
18 copies left
Which is greater: 660 miles on 20 gallons or 850 miles on 25 gallons
Answer:
850 miles on 25 gallons
Step-by-step explanation:
Answer: 850 miles on 25 gallons is more efficient, meaning it covers a greater distance per gallon of fuel.
Step-by-step explanation:
If Tristan's pay was $1600 for the week, he sold ? vacuums
Answer: $3,000
(There are 7 days in a week) I don't know if i'm correct or not but it should be the answer.
Given the point g' at (4,6) and the rule (x,y) > > > (x-7,y+3). Find the coordinates of g.
The new co-ordinates of the point after transformation is (-3,9)
what is the Cartesian coordinate system?A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates,
Given here: The point g'(4,6)
The point transforms to (x-7,y+3)
Thus the new points are 4⇒4-7=-3
6⇒6+3=9
Thus, The new co-ordinates of the point after transformation is (-3,9)
Learn more about cartesian system here:
https://brainly.com/question/29762404
#SPJ1
6. Find the measure of an angle if five times the measure of its complement is 24° less than
twice the measure of its supplement.
Equation:
Measure:
Answer: Let's call the measure of the angle x.
The complement of the angle is (90 - x) degrees, and the supplement is (180 - x) degrees.
So, using the information given in the problem, we can set up an equation:
5 * (90 - x) = 2 * (180 - x) - 24
Expanding both sides and simplifying, we get:
450 - 5x = 360 - 2x - 24
Solving for x, we get:
6x = 294
x = 49
Therefore, the measure of the angle is 49 degrees.
Step-by-step explanation:
Find the indicated side of the right triangle
Answer:
a= 17* √2
Step-by-step explanation:
a=17*cosec45
Taylor has a points card for a movie theater.
She receives 75 rewards points just for signing up.
She earns 6.5 points for each visit to the movie theater.
She needs at least 100 points for a free movie ticket.
Which inequality can be used to determine v, the minimum number of visits Taylor needs to earn her first free movie ticket?
The inequality used to determine v, the minimum number of visits Taylor needs to earn her first free movie ticket is 75 + 6.5v ≥ 100.
What are Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given,
Points for signing up = 75 points
Points for each visit to the movie theater = 6.5 points
Let v be the minimum number of visits Taylor needs to earn her first free movie ticket.
Points earned for v visits = 6.5v
She needs at least 100 points for a free movie ticket.
75 + 6.5v will be the points she earn for a free movie ticket.
This expression must be greater than 100, which is the required points for a free movie.
75 + 6.5v ≥ 100
Hence the inequality representing the situation is 75 + 6.5v ≥ 100.
Learn more about Inequalities here :
https://brainly.com/question/19516092
#SPJ1
does anybody know the answer to this?
Step-by-step explanation:
x=97+40 degree (being sum of two interior angle is equal to one exterior angle)
Can some help pleasee it is due tonight and it’s the only question I need,I also need to do ate by step if it’s not much to ask
Answer: -3/16
Step-by-step explanation:
When there is a negative exponent like x^-2 it equals 1/(x^2) the negative puts the number as a fraction so continuing...
-12(x^-2) (y^-2) can be rewritten as
-12 (1/x^2) (1/y^2) now we plug in x = -2 and y = 4
-12 (1/(-2^2) (1/(4^2)); -2^2 = 4 , 4^2 = 16
-12 (1/4) (1/16)
-3 (1/16)
= -3/16