What is the slope of the line?
The graph shows the relationship between the volume
of a rectangular prism and the volume of a square
pyramid with an identical base and height.
0-
Prism vs. Pyramid
3
10
9
B
8
03
02
Prism Volume (cubic units)
2
1
23
5
6 7
8
9 10
Answer:
The slope of the line is 3.
Step-by-step explanation:
The slope of the line between the volume of a rectangular prism and the volume of a square pyramid is given by m = 3
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 1 , 3 )
Let the second point be Q ( 2 , 6 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 6 - 3 ) / ( 2 - 1 )
Slope m = 3 / 1
m = 3
Therefore , the value of m = 3
Hence , the slope of the line is m = 3
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Which list shows all the factors of 72?
OA) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
OB) 1, 2, 3, 4, 6, 9, 12, 18, 24, 36, 72
OC) 1, 2, 3, 4, 5, 6, 8, 9, 12, 18, 24, 36, 72
OD 1, 2, 3, 4, 6, 7, 8, 9, 12, 18, 24, 36, 72
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile manufacturers, and consumers, are highly interested in what the agency's findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy(average miles per gallon (MPG)). Specifically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's upcoming discussion with industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight, Average MPG, Fuel Tank Size (Gallons), Engine Size (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles.
Which of the following most closely describes the method of data collection used?
a. Anecdote
b. Controlled experiment
c. Observational study
Answer:
Controlled experiment
The method of data collection used by the federal government agency is controlled experiment.
What is Controlled Experiment?
A controlled experiment can be defined as an experiment under which an independent variable is constantly manipulated in order to evaluate its effects on other dependent variables.
The experiment conducted on 750 vehicles by federal government agency to determine the relationship between weight of the vehicle and its fuel economy is a controlled experiment since the effects of weight of vehicles is observed on their fuel economy, other things remaining constant.
The fuel economy changes with the change in weight of the vehicle. The vehicle weight therefore affects the fuel economy or average MPG of the vehicle.
Therefore the method of data collection used is controlled experiment.
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Tasha started her homework at 3:45 pm she spent an hour and 20 minutes completing her homework. What time did she finish her homework
What is the value of (2,820 ÷ 8) ÷ 5?
What are the opposites of 7, −4.5, 3.35, and 7 1 2
Answer:
The opposites of these numbers are -7, 4.5, -3.35, and -712
Step-by-step explanation:
What is the value of x in the equation 1.5(x +4)-3 = 4.5(x -2)?
3
4
5
9
Answer:
Step-by-step explanation:
1.5x + 6 - 3= 4.5x - 9
1.5x + 3 = 4.5x - 9
Bringing like terms on one side
3 + 9 = 4.5x - 1.5x
12 = 3x
12/3 = x
4 = x
Option B is the correct answer
Which pair of lines are perpendicular?
A y=-8 and y = 2
B y= -4x + 1 and 8X+2Y=-10
C x=4 and y= -1
D x-y=7 and y=x+3
9514 1404 393
Answer:
C. x=4 and y= -1
Step-by-step explanation:
A: lines are parallel (both are horizontal)
B. lines are parallel (both have slope -4)
C. lines are perpendicular (one is vertical, one is horizontal)
D. lines are parallel (both have slope 1)
What is the result of 3-5?
0
2
2
3
1
9
1
5
9
Answer:
4-7
Step-by-step explanation:
Answer:
wrong its not 4 7
Step-by-step explanation:
A is an angle in standard position and satisfies the given conditions. Find the indicated trigonometric function value of A.
The terminal side of A is in quadrant II and lies on the line -7x - 5y = 0.
Find sec A.
9514 1404 393
Answer:
sec(A) = -(1/5)√74
Step-by-step explanation:
Solving the equation for y, we have ...
-7x = 5y
-7/5x = y
The slope of this line (-7/5) is the tangent of the angle (A) it makes with the x-axis. The secant satisfies the relation ...
sec(A)^2 = 1 + tan(A)^2
sec(A) = √(1 +tan(A)^2)
sec(A) = -√(1 +(-7/5)^2) = -√(74/25) . . . . secant is negative in 2nd quadrant
sec(A) = -(1/5)√74
8,943
=
X 1000 +
x 100 +
x 10 +
x 1
x 103 +
x 10? +
x 10 +
II
X 1
Answer:
I think that's wrong
Step-by-step explanation:
1000+1000+1000+1000+1000+1000+1000+1000+1000+ 900+40+3 ?????? not sure but it welcome
In the expression shown, n
represents a rational number.
7n
What value of n makes the
expression a number less than
7?
A. 3/2
B. 6/6
C. 4
D. 714
Answer:
C. 4/5
Step-by-step explanation: If you have a fraction with the numerator being less than the denominator then multiplying by 7 you will get a number that is less than 7
2. A line goes through the points, and . (a) What is the slope of the line? Show your work. (b) Write the equation of the line in point-slope form. Show your work. (c) Write the equation of the line in slope-intercept form. Show your work. Answer:
Answer:
The answer to your question is:
Step-by-step explanation:
Data
A (8, 9)
B (-2, 4)
1. What is the slope of the line? Show your work
m = (y2 - y1) / (x2 - x1)
m = (4 - 9) / (-2 - 8)
m = -5 / - 10
m = 1/2
2. Write the equation of the line in point-slope form. Show your work
(y - y1) = m(x -x1)
(y - 9) = 1/2(x - 8)
3. Write the equation of the line in slope-intercept form.
(y - 9) = 1/2(x - 8)
y - 9 = 1/2x - 4
y = 1/2x - 4 + 9
y = 1/2x + 5
This work was done by joseaaronlara
Evaluate 2x+6y when x= -4/5 and y= 1/3 Write your answer as a fraction or mixed number in simplest form.
2/5 is a answer
in this we can se the answer is 2/5
18 ft = 6 yd
O True
O False
Help
Step-by-step explanation:
there is 3 feet in a yard
divide by 3
18 ÷ 3 = 6
true
Can someone please help
Answer:
What is your question?
Step-by-step explanation:
In your own words explain to someone how to find the intersection of two sets.
Answer:
in simple terms find the common elements present in both sets
eg sets
A=[1,2,3,4,5]
B=[4,5,7]
AnB=[4,5]
Pass necessary journal entries in the books of Narender for the month of March 2006
Please explain this question as I can't 'Pass necessary journal entries in the books of Narender for the month of March 2006'
Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil.
If the price of soil is $1.50 per quart, how much will he pay in all?
Answer the answer to your question is $7.50
Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 3.5 inches. How many miles do they have to drive if the map scale is 1 in.=50ml
Answer:
3.5 * 50 =175 mi :)
Step-by-step explanation:
what is the slope of the line
Answer:
Rise/Run = up 3 over 1 = 3/1 (m = 3)
Step-by-step explanation:
Learn this stuff it is very important for future math
Please help ! :))
Find the equation of a line perpendicular to -3x + y=-5 that contains the point (1,4). Write the equation in slope.
Answer:
y = -1/3x + 13/3
Step-by-step explanation:
-3x + y=-5
y = 3x -5
Slope of perpendicular line is the opposite inverse so 3 becomes -1/3.
y-intercept going through point (1, 4):
y = mx + b
4 = -1/3(1) + b
4 = -1/3 + b
b = 13/3
Perpendicular equation of a line:
y = mx + b
y = -1/3x + 13/3
The temperature went from -6°F to -11°F. What was the change in temperature?
-5 F
5F
-17°F
17 F
Answer:-5 F
Step-by-step explanation -6 + -5 = -11
If three times a number is at least four or more than eight times the number, which of the following is true? A-The number is at least negative four-fifths.
B- the number is at most four-fifths.
C-The number is at least four-fifths.
D-The number is at most negative four-fifths .
Answer:
I believe A...
Step-by-step explanation:
Sorry if i'm wrong):
Option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
If three times a number is at least four or more than eight times the number,
Let x be the number
Mathematically, it can be written as:
3x is at least 4 + 8x
3x - 8x is at least 4
- 5x is at least 4
x is at least -4/5
Thus, option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.
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I need help with this math problem
Answers:
4) 1:1.5
5) 1.5:7
help with question 8 please
Answer:
the answer is G I believe
-18 - 6n= 6 (1 + 3n)
Answer:-1
Step-by-step explanation:-18-6n = 6 + 18n
-6n=6
divide
n=-1
Answer:
-1
Step-by-step explanation:
First, divide by 6
-18/6- 6n/6=6/6(1+3n)
-3-n= 1+3n
Then move the variable to one side
-3-n+n= 1+3n+n
-3=1+4n
Then isolate the variable
-3-1=1-1+4n
-4=4n
Isolate more
-4/4=4n
-1=n
If n is divisible by 2, 5 and 14, which of the following is also divisible by these numbers?
Answer:
The number 70 is divisible by 2,5 and 14.
Explanation:
Out of all the equations, n+70 ⇒ 70+70 ⇒ 140.
140 is divisible by 2, 5 and 14.
SO the answer is option e: n+70
Find the distance and midpoint for the points (4, 8) and (19, 16). The distance is ___. The midpoint is ( _ , _ ).
I'd like a step by step please.
Answer:
[tex]Distance = 17 \\Midpoint = (11.5 , 12)[/tex]
Step-by-step explanation:
[tex]\sqrt{(16-8) }^{2} -{ (19 - 4)^{2}[/tex]
[tex]8 ^{2} + 15^{2}[/tex]
[tex]64 + 225[/tex]
[tex]\sqrt{289}[/tex]
[tex]distance = 17[/tex]
[tex]\frac{4 + 19}{2} , \frac{8+ 16}{2}[/tex]
[tex]\frac{23}{2} , \frac{24}{2}[/tex]
[tex]Midpoint = 11.5 , 12[/tex]
Hope this helps
plz mark brainliest
f(x)=-3x^2-6x
Find f(−9)
Answer:
f(-9)= -189
Step-by-step explanation:
f(-9)= -3(-9)^2-6(-9)
f(-9)= -3(-9)^2 +54
f(-9)= -3(81) +54
f(-9)= -243 + 54
f(-9)= -189
[tex]f(-9)[/tex] is [tex]-189[/tex]
What is 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. Functions were originally the idealization of how a varying quantity depends on another quantity.
According to question, we have the function [tex]f(x)=-3x^2-6x[/tex]
We have to find [tex]f(-9)[/tex]
So, [tex]f(-9)=-3[/tex]×[tex](-9)^{2}[/tex][tex]-6(-9)[/tex]
[tex]=-243+54[/tex]
[tex]=-189[/tex]
Hence, we can conclude that [tex]f(-9)[/tex] is [tex]-189[/tex]
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