The equation of the line is ,y= -9x+5.
What is an equation?A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. A well-formed formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's cognates in other languages may have slightly different definitions. For instance, an équation is defined as having one or more variables in French.Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations.Acc to our question-,
We should use the slope-intercept formula to solve this problem.
The point-slope formula states:= [ y = mx + c]
Where m is the slope and c is the y-intercept for the point (0,y1)
Substituting the information provided we get the equation: y= -9x+5.
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Find the measure of the indicated angle to the nearest degree
Lauren has a garden in the shape of a rectangle where the length is 5.4 meters and 1.5 meters. She plans on increasing both the length and width by 40%
Answer:
5.4 = 7.56
1.5 = 2.1
Step-by-step explanation:
Just find the answer for 40% of the given meters.
In the division problem 18+ 3 = 6, is 18 the
quotient
divisor
dividend
remainder
Answer:
Dividened
Step-by-step explanation:
Because that is what is going into 3
have a great day!
brailiest is appreciated!
HELP PLEASE! Which reason is the justification for the statement that angle A ≅ angle B?
A) Vertical angles are congruent.
B) Linear angles are equal.
C) Intersecting lines form opposing angles.
D) Lines intersect at one point.
An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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a. 75.5 meters in 20 seconds
I need a lil help here (18 points!!!!!)
Answer:
correct answer is 2
............................
Answer U4
Step-by-step explanation:
blank is 4
A student used the following elevations in a calculation.
• Mt. Everest: 29,035 feet above sea level • Dead Sea: 1,349 feet below sea level
The student said the distance between the two elevations was 27,686 feet. Why is the student's calculation incorrect?
The student added a positive 29,035 and a positive 1,349 instead of subtracting a positive 1,349 from a positive 29,035
The student subtracted a positive 1,349 from a positive 29,035 instead of subtracting a negative 1,349 from a positive 29,035.
The student added a positive 29,035 and a negative 1,349 instead of subtracting a positive 1,349 from a positive 29,035.
The student subtracted a positive 1,349 from a negative 29,035 instead of subtracting a negative 1,349 from a positive 29,035
Answer:
second one
Step-by-step explanation:
above sea level means it’s positive
below sea level is negative
(think of the sea level as 0)
the student should be using this equation
29,035-(-1,349) not 29,035-1349
the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
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The data represents the time, in minutes, spent reading a political blog in a day. Construct a frequency distribution using 5 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequencies and which has the least frequency?
Answer:
Step-by-step explanation:
7
The frequency is just a way for us to know how often an event occurred.
Please find attached the frequency distribution table.
Class with greatest frequency is; Class 30 - 39
Class with least frequency is; Class 20 - 29
Now, we are told to construct a frequency distribution for the given data using 5 classes.
Looking at the given data, the lowest number is 0 while the highest number is 49.This means the 5 classes will be as follows;
0 - 9
10 - 19
20 - 29
30 - 39
40 -49
From the given table, the classes have the following frequency;0 - 9; 5
10 - 19; 4
20 - 29; 1
30 - 39; 6
40 -49; 4
Class with greatest frequency is; Class 30 - 39
Class with least frequency is; Class 20 - 29
This means the sample size is; n = 5 + 4 + 1 + 6 + 4 = 20
Relative frequency is; class frequency/sample sizeThus for the classes, we have Rel. Freq as;
0 - 9; 5/20 =0.25
10 - 19; 4/20 = 0.2
20 - 29; 1/20 = 0.05
30 - 39; 6/20 = 0.3
40 -49; 4/20 = 0.2
Midpoint is; (lower class limit + upper class limit)/2Thus, we have;
0 - 9; (0 + 9)/2 = 4.5
10 - 19; (10 + 19)/2 = 14.5
20 - 29; (20 + 29)/2 = 24.5
30 - 39; (30 + 39)/2 = 34.5
40 -49; (40 + 49)/2 = 44.5
Cumulative frequency is the sum of the frequency of that class and all the previous classes together.Thus, we have;
0 - 9; 5
10 - 19; 4 + 5 = 9
20 - 29; 1 + 9 = 10
30 - 39; 6 + 10 = 16
40 -49; 4 + 16 = 20
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What is 2345+ (27457+96584)6- 1/2 divided by 2
Answer:
746590.75
You can alos just type it into a calculator.
Pls help urgently extra points and mark brainlist
Answer:
You got it right it is the second option
Step-by-step explanation:
I'm trying to level up and need 3 more brainliest so if possible can you mark me brainliest if not that's ok! :)
Answer: the last one
Step-by-step explanation:
This graph shows how fast a commuter train travels on its route in an urban area. What is the meaning of the point with an x-coordinate of 4
The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
From the graph, the x coordinate 2, have a y coordinate of 120. Hence:
The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.
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find two functions f and g
a. f(x) =
b. f(x) =
The functions f and g are:
a. f(x) = 1/x
b. g(x) = x + 2
a) To find two functions f and g such that (fog)(x) = 1/(x + 2), we need to determine how the composition of the two functions f and g produces the given expression.
Let's start by assuming g(x) = x + a, where a is a constant. This means that g(x) adds the constant a to the input x.
Next, let's determine the function f(x) such that (fog)(x) results in the desired expression. We have:
(fog)(x) = f(g(x)) = f(x + a)
b) To simplify the expression 1/(x + 2) and make it match f(g(x)), we can consider f(x) = 1/x.
Substituting the expressions for f(x) and g(x) into (fog)(x), we have:
(fog)(x) = f(g(x)) = f(x + a) = 1/(x + a)
Comparing this with the desired expression 1/(x + 2), we see that a = 2. Therefore, the functions f and g are:
a. f(x) = 1/x
b. g(x) = x + 2
Using these functions, we can verify the composition (fog)(x):
(fog)(x) = f(g(x)) = f(x + 2) = 1/(x + 2)
Thus, (fog)(x) = 1/(x + 2), which matches the desired expression.
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answer va popular drive-in food stand advertises that it can provide 1,063,953 fountain drink and slush combinations. approximately how many seconds per drink would you have if you wanted to sample all possible beverages in one month
Answer:
You would need 2.44 seconds per drink.
Step-by-step explanation:
This question can be solved using proportions.
A month has 30 days, each with 24 hours, each with 3600 seconds.
So a month will have 30*24*3600 = 2,592,000 seconds.
It can provide 1,063,953 fountain drink and slush combinations.
So, the number of seconds per drinks is given by:
2592000/1063953 = 2.44
You would need 2.44 seconds per drink.
How many different ways are there to arrange the letters in the word MISSISSIPPI?
Answer: 34,650 permutations
a container of water has 1/4 water and 1/3 oil. how much is the fraction of the empty space
The Fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.
The container is made up of two substances: water and oil. We know that the container has 1/4 water and 1/3 oil. This means that the remaining space in the container is made up of neither water nor oil, i.e., empty space.
To find the fraction of empty space, we need to add the fractions of water and oil together and subtract them from 1. This is because the sum of the fractions of water, oil, and empty space must equal 1, which represents the total volume of the container.
The fraction of water in the container is 1/4, and the fraction of oil is 1/3. Therefore, the fraction of the container that is not empty is:
1/4 + 1/3 = 3/12 + 4/12 = 7/12
To find the fraction of empty space, we subtract this fraction from 1:1 - 7/12 = 5/12
Therefore, the fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.
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y=2/3x-6Find the slope and y-intercept of the line:
Given the equation of a straight line
\(y=\frac{2}{3}x-6\)If we compare it with the slope-intercept form of the equation of a line:
\(y=mx+b\)Then:
\(\begin{gathered} \text{Slope, m}=\frac{2}{3} \\ y-\text{intercept,b}=-6 \end{gathered}\)The volume of a right cylinder is 277 cubic centimeters, and the
height is 3 centimeters (cm). What is the radius of the cylinder?
Answer:
3cm
use the formula for the volume of a cylinder
and substitute
Step by step answer
hey!
Step-by-step explanation:
bring -4 to the RHS which then becomes +4.
* bring x/6 to the LHS which will then become -x/6.
So,
x/3 -x/6=2+4
x×2/3×2 - x/6 = 6
2x/6 - x/6=6
x/6=6
×=6×6
x=36
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
H
6:00 PM
What is a frostbite?
Select the correct answer from each drop-down menu.
A candy company designs a package to hold chocolates. The height of the container is 13 inches and the diameter of its bottom is 9 inches.
9 in i
13 in
Which shape best models the package, and what is the approximate surface area of the package?
The best model for the package is a
The approximate surface area is
square inches.
The approximate surface area of the package is approximately 245.05 square inches.
The best model for the package is a cylinder.
To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius of the base and h is the height.
The area of the circular base can be calculated using the formula:
Area of Base = \(πr^2\)
Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.
Using the given height of 13 inches, we can now calculate the surface area:
Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches
Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches
To find the total surface area, we add the lateral surface area and the area of the base:
Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches
Therefore, the approximate surface area of the package is approximately 245.05 square inches.
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5x^2-8x+12=3x+10
solve quadratic by factoring
On solving the "equation" written as "5x² - 8x + 12 = 3x + 10" by using "factoring-method" , the "solutions" are x = 1/5 and x = 2.
To solve "5x² - 8x + 12 = 3x + 10" by using the "factoring-method", it should first be rearranged in "standard-form", where one side of the equation is = 0,
First, we combine the constant terms on the right side of the quadratic:
⇒ 5x² - 8x + 2 = 3x,
⇒ 5x² - 11x + 2 = 0, Now, we factor the quadratic expression on the left side of the equation as :
⇒ 5x² - 10x -x + 2 = 0,
⇒ 5x(x - 2) -1(x - 2) = 0,
⇒ (5x - 1)×(x - 2) = 0
By applying the zero product property, we know that either "5x - 1 = 0" or "x - 2 = 0";
⇒ 5x - 1 = 0 , We get x = 1/5,
⇒ x - 2 = 0, We get x = 2;
Therefore, the solution are x = 2, and x = 1/5.
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The given question is incomplete, the complete question is
Solve the quadratic-equation "5x² - 8x + 12 = 3x + 10" by factoring.
Find an angle θ that is coterminal with an angle measuring −490∘, where 0∘≤θ<360∘. Do not include the degree symbol in your answer. For example, if your answer is 20∘, you would enter 20.
Answer: \(230\)
Step-by-step explanation:
To find coterminal angles, add/subtract integer multiples of \(360^{\circ}\).
\(-490^{\circ}+360^{\circ}=-130^{\circ}\\\\-130^{\circ}+360^{\circ}=230^{\circ}\)
An angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘ is 130∘.
To find an angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘, we can use the concept of coterminal angles.
Coterminal angles are angles that have the same initial and terminal sides when drawn in standard position. To find a positive coterminal angle with a negative angle, we can add 360 degrees to the negative angle until we get an angle within the desired range (0∘ to 360∘).
Let's find the positive coterminal angle:
θ = -490∘ + 360∘
θ = -130∘
So, an angle θ that is coterminal with −490∘ and lies between 0∘ and 360∘ is 130∘.
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Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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find 20 hours is 30 minutes
Answer:
24×20×30=14,400 minutes
Roderick earns an interest of $30 per year for every $500 deposited in his savings account calculate the interest earned if he has $1,250 in his account
Answer:
1250/500
=2.5
Multiplied by interest rate (30)
2.5 times 30
= $75.00
Step-by-step explanation:
Hope I helped.
BRAINLIEST PLEASE!!!Roderick earns an interest of $30 per year for every $500 deposited in his savings account. This means that the interest rate per $500 deposit is:Interest rate per $500 = $30/$500 = 0.06 or 6%To calculate the interest earned on Roderick's savings account, we first need to determine how many $500 deposits he has. We can do this by dividing his total savings by $500:Number of $500 deposits = $1,250/$500 = 2.5
Find the Perimeter and Area of the figure.
Answer: perimeter = 92m
Area = 504m^2
Step-by-step explanation:
perimeter = 2(L+w)
2(18+28)
=92m
Area = L*W
18*28
= 504m^2
In a large metropolitan area, past records revealed that 30 percent of all the high school graduates go to college. From 10 graduates selected at random, calculate the probability that none will go to college.