Answer:
m=-63 b=825
Step-by-step explanation:
The slope of the line would be - [m] = - 63 and the [y] intercept is - [c] = 835.
What is the general equation of straight line? What is a mathematical function, equation and expression?straight line : The general equation of a straight line is -[y] = mx + c
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Nicholas volunteers at a local soup kitchen and he notices how quickly the kitchen is going through its stock of canned goods.
It is given that a graph has number of days on the x - axis and number of canned goods on the y-axis. The line goes through points (2, 699) and (8, 321). The slope of the line can be written as -
[m] = (321 - 699)/(8 - 2)
[m] = -378/6
[m] = - 63
For the point (2, 699), we can write -
y = - 63x + c
699 = - 63 x 2 + c
699 = -126 + c
c = 699 + 126
c = 835
Therefore, the slope of the line would be - [m] = - 63 and the [y] intercept is - [c] = 835.
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{Complete question -
A graph has number of days on the x-axis and number of canned goods on the y-axis. A line goes through points (2, 699) and (8, 321).
Nicholas volunteers at a local soup kitchen and he notices how quickly the kitchen is going through its stock of canned goods. Below is the graph representing the data Nicholas found.
Find the slope and y-intercept of the line.}
Ignatz repeatedly rolls a fair $6$-sided die. What is the probability that he rolls his first $5$ before he rolls his second (not necessarily distinct) even number?
The probability that Ignatz rolls his first 5 before he rolls his second (not necessarily distinct) even number is: 13/32
Events:Define Event A: Rolling 5 before an even number.
Define Event B: Rolling an even number before a 5 (complementary event to event A).
Sample Space: - The total number of outcomes for rolling a die 5 times is [tex]6^5[/tex] (each roll has 6 possibilities).Favorable Outcomes for Event A:- We can achieve event A in various scenarios where Ignatz rolls a 5 before encountering an even number. Let's consider each case:Case 1: 5 in the first roll (1 way). Then, any other number (not 2, 4, or 6) in the remaining rolls (5 possibilities each).
Favorable outcomes: [tex]1 * 5 * 5 * 5 * 5.[/tex]
Case 2: 5 in the second roll (similar to case 1).
Favorable outcomes: [tex]5 * 1 * 5 * 5 * 5.[/tex]
We can continue using the same logic for cases where 5 appears in the third, fourth, or fifth roll.
Total Favorable Outcomes for Event A:Since there are multiple ways to achieve event A, we add the favorable outcomes from each case.Total Favorable Outcomes (A) = Favorable Outcomes (Case 1) + Favorable Outcomes (Case 2) + ... + Favorable Outcomes (Case 5)
= [tex]1 * 5^4 + 5 * 1 * 5^4 + 5^2 * 1 * 5^3 + 5^3 * 1 * 5^2 + 5^4 * 1 * 5[/tex]
Probability of Event A:Probability (A) = Favorable Outcomes (A) / Total Outcomes
[tex]= ( 1 * 5^4 + 5 * 1 * 5^4 + 5^2 * 1 * 5^3 + 5^3 * 1 * 5^2 + 5^4 * 1 * 5) / 6^5[/tex]
Probability of Event B (complementary event):Event B is the opposite of event A. Since events A and B cover all possibilities, their probabilities sum to 1.
Probability (B) = 1 - Probability (A)
Therefore, the probability of rolling a 5 before an even number (event A) is 1 - Probability (B).
ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?
A(. A'(0, 3), B'(2, 3), C'(1, 1)
B(. A'(0, -3), B'(3, -2), C'(1, -1)
C(. A'(-3, 0), B'(-3, 2), C'(-1, 1)
D(. A'(0, -3), B'(-2, -3), C'(-1, -1)
Answer:
B (. A'(0, -3), B'(3, -2), C'(1, -1)
Step-by-step explanation:
what is the equation of the perpendicular to y=2/3x+1 that passes through the point (12,-6)
how much apple juice does each person get if 6 people share 2 and 2/3 quarts equally
The fraction of apple juice shared by 6 people is A = 4/9 of the apple juice
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction of apple juice shared by 6 people be A
Let the total number of people be represented as n = 6 people
Now , the fraction of total amount of apple juice = 2 2/3
The fraction of total amount of apple juice T = ( 8/3 ) of apple juice
And , the equation is
A = fraction of total amount of apple juice T / total number of people n
On simplifying , we get
A = ( 8/3 ) / 6
A = ( 8/18 )
Divide by 2 on both numerator and denominator of the fraction , we get
A = 4/9 of the apple juice
Therefore , the value of A is 4/9
Hence , the fraction of apple juice is ( 4/9 ) equally
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How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound? Which of the equations could be used to solve for p, the pounds of cashew nuts?
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?
One tank is filling at the rate of 3/4 gallon / 2/3 minute a second tank is filling at the rate of 3/8 gallon per 1/2 minute which tank is filling faster equation
Paula has a digas that weighs 3 times as much as Carla's. The total weight of the dogs is 48 lb how much does Paula dog weigh. Draw a diagramar ti find the weighs of Pailas dog
answer plz got cunfused on question and cant solve
area of parallogram now = 8*10 = 80 square units
if the sides are multiplied by 4 the new dimensions would be
8*4 = 32, 10*4 = 40
area would be 32 *40 = 1280 square units
1280 /80 = 16
the area multiplied 16 times which is the multiple squared ( 4^2 = 16)
Write the equation in spherical coordinates. (a) 4z2 = 5x2 + 5y2 (b) x2 + 3z2 = 4
In spherical coordinates, equations in the form of [tex]4z^2 = 5x^2 + 5y^2[/tex] can be written as [tex]4ρ^2cos^2(θ) = 5ρ^2sin^2(θ)[/tex], and equations in the form of x^2 + 3z^2 = 4 can be written as ρ^2sin^2(θ) + 3ρ^2cos^2(θ) = 4.
Explanation:(a) In spherical coordinates, the equation [tex]4z2 = 5x2 + 5y2[/tex] can be written as [tex]4ρ2cos2(θ) = 5ρ2sin2(θ)[/tex]. Here, ρ represents the distance from the origin to the point and θ represents the angle measured from the positive x-axis to the point in the xy-plane.
(b) For the equation x2 + 3z2 = 4, we can rewrite it in spherical coordinates as[tex]ρ2sin2(θ) + 3ρ2cos2(θ) = 4.[/tex]
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Two different ways to find the difference for 12-3
What was the total production of gasoline and kerosene combined?
How do the 3's compare in 350 and 403?
The surface area of a cube varies directly as the square of the length of an edge. true or false
Find each percent increase. From 24 teachers to 30 teachers.
It takes one machine 25 minutes to pick a bale of cotton and another machine 30 minutes to compete the same job. If both machines are used, how long will it take them to pick a bale of cotton?
Answer:
13.64 minutes
Step-by-step explanation:
The first machine works at the rate x = 1 bale/ 25 min.
The second machine works at the rate y = 1 bale/30 min.
The combined rate is
x + y = 1/25 + 1/30 bales/min
= (30 + 25)/(25*30) = 55/750
= 11/150 bales/min
The time for both machines to pick 1 bale of cotton is
(1 bale)/(11/150 bales/min) = 150/11 min = 13.64 min
So if you take rsm, you have to input 13.64 otherwise it won't work. :)
What is 3x5x6x19x500
(01.03) A box has dimensions of 14 inches long, 1.5 feet wide, and 7 inches high. What is the volume of the box
1.5 feet = 12 * 1.5 = 18 inches
14 x 18 x 7 = 1764 cubic inches
Three friends all live on the same street that runs west to east. Ben lives 4 blocks from Ann. Carl lives 2 blocks from Ben. If the street is represented by a number line and Ann's house is located at 0, what are the possible locations for Carl's house?
Answer:
The possible locations are,
2, -2, 6 or -6
Step-by-step explanation:
Given,
The location of Ann's house in the number line = 0,
∵ Ben lives 4 blocks from Ann.
So, the possible location of Ben's house = 4 ( right of ann's house ) or - 4 ( left of ann's house )
Now, Carl lives 2 blocks from Ben,
So, the possible location of Carl's house
Case 1 : If Ben's house location is 4 = 2 ( left of ben's house ) or 6 ( right of ben's house )
Case 2 : If Ben's house location is -4 = -2 ( right of ben's house ) or -6 ( left of ben's house )
The possible locations of Carl's house are - 6, 6, 2 or - 2
Let :
Ben's location = B
Carl's position = C
Ann's position = A
Using the Number line illustration :
Ann's position = 0
Ben's possible positions :
4 blocks(units) from Ann = ± 4Carl's location :
2 blocks from Ben-4 ± 2 = (-4 - 2) or (-4 + 2) = - 6 or - 2 +4 ± 2 = (4 + 2) or (4 - 2) = 6 or 2Learn more : https://brainly.com/question/16191404?referrer=searchResults
What is the greatest common factor of 12 and 42
The greatest common factor of 12 and 42 is 6.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the greatest common factor of 12 and 42.
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
The factors of 12 are 1, 2, 3, 4,6 and 12.
The factor of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.
Let us find the common factors of 12 and 42.
The common factors are 1, 2 , 3, 6.
Among the common factors which is greatest value.
Among 1,2,3 and 6 the number 6 is greatest.
Hence, the greatest common factor of 12 and 42 is 6.
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Will make Brainliest/#HelpAsap #MathHelp #Math(2 questions)!
You want to find out how many baseball cards Ryan had to begin with. Which situation about his card collection best represents the equation
x/2-1=24
A. Half of his cards were ruined after they got wet, and then he lost 1 card. After that, he had 24 cards left.
B. He lost 1 card, and then half of his cards were ruined after they got wet. After that, he had 24 cards left.
C. Half of his cards were ruined after they got wet, and then he bought 1 more card. After that, he had 24 cards left.
D. He bought 1 card, and then half of his cards were ruined after they got wet. After that, he had 24 cards left.
Which situation about Connor’s commission best represents the inequality 40 + 10x ≥ 100?
A.Connor earns $10 per day plus a $40 commission on each item he sells. How much will he earn if he sells 100 items?
B.Connor earns $40 per day plus a $10 commission on each item he sells. How much will he earn if he sells 100 items?
C.Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn at least $100?
D.Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn no more than $100?
Help please!!! practical math
What is the GCF of 12,28,36?
Which figure represents an undefined term?
Why do some absolute value equations have no solution?
A hardware store has 147 containers of paint. If each container holds 5 gallon of paint, how many gallon of paint are at the store?
A.235 B.595 C.735 D.905
Dale chose A as the correct answer how did he get that answer?
I know the answer is C but can't explain why he chose A
Someone please help me with # 10
Name the triangle with the following characteristics. sides: 5 cm, 6 cm, 7 cm; Angles: 75° and 60°.
The answer is: The triangle is a SCALENE Triangle.
As all the sides of the triangle are unequal. Therefore,it is a scalene triangle.
What are the 3 main types of triangles?
According to the length of sides, triangles can be classified into 3 categories i.e., Scalene, Isosceles, and Equilateral triangles.
A scalene triangle is a triangle in which all three sides are of different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to 180 degrees.
An isosceles triangle is a triangle in which two sides have the same length.
An equilateral triangle is a triangle with all three sides of equal length, corresponding to what could also be known as a "regular" triangle.
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Solve the formula M = 2P + 3Q for the variable Q.
Last year Jeremy had $7900 in medical expenses. If his AGI was $89,000, will he be able to deduct his medical expenses and if so, what amount?
Answer:
He will be able to deduct his medical expenses by $1225.
Step-by-step explanation:
If his medical expenses are over 7.5% of his AGI he can reduce it to 7.5%.
His AGI was $89,000. How much is 7.5% of that?
0.075*89000 = $6675.
His expenses are over 7.5%, so yes, he can reduce.
He can reduce from $7900 to $6675, so 7900 - 6675 = $1225