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
Answers
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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Related Questions
Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households in the region spend in restaurants annually. The employees are looking at how the amount spent annually in restaurants by households led by people ages 25 to 34 compares to households led by people ages 45 to 54. To conduct the research, the employees randomly select 12 households in the region led by people ages 25 to 34 and 12 households in the region led by people ages 45 to 54. Each household is asked how much was spent in restaurants during the previous 12 months. The amounts spent for each household, in dollars, are provided in the samples below. One household in each group spent $1,851 in restaurants during the previous 12 months. Calculate the z-score for the household that spent $1,851 for each group. Use a TI-83, TI-83 plus, and TI-84 calculator.
Round your answers to two decimal places.
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158
Answers
Answer:
The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.
Step-by-step explanation:
The data provided is as follows:
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158
Compute the mean and standard deviation for the group "25 to 34" as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01[/tex]
Compute the z-score for the group "25 to 34" as follows:
[tex]z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37[/tex]
Compute the mean and standard deviation for the group "45 to 54" as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39[/tex]
Compute the z-score for the group "45 to 54" as follows:
[tex]z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25[/tex]
Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.
passes through :(3, -1) Slope: -1/2
write in slope intercept form of a line
Answers
What is the equivalent ratio for 19:7?
Answers
Answer:
Fraction form it is 2 5/7 decimal form it is ~ 2.7143
Step-by-step explanation:
Somebody who know how to speak Spanish help.
Answers
Answer:
Step-by-step explanation:
lemme see the word bank
Camille has no more than $20.00 to spend each week for lunch and bus
fare. Lunch costs $3.00 each day, and bus fare is $0.75 each ride. Write an inequality for
this situation. Can Camille buy lunch 5 times and ride the bus 8 times in one week?
Answers
Answer:
No, because 5 x 3 is 15 and 8 x .75 is 6.So you add 6 and 15 then you get 21 so she would need an extra dollar
What is the distance between (1, -4) and (1, 18)?
O 2 units
O 5 units
19 units
22 units
Answers
Answer:
22 units is the correct answer
l
The distance between (1, -4) and (1, 18) is 22 .The correct option is 4
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
Substituting the values of the coordinates in the distance formula;
D = [tex]\sqrt{(1-1)^{2}+(18+4)^{2} }[/tex]
=[tex]\sqrt{(0)^{2} + (22)^{2} }[/tex]
= [tex]\sqrt[n]{484}[/tex]
= 22
So, 22 units is the right answer.
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at the beginning of the basketball game Sabrina made nine points in four minutes she wants to break the school record of 119 points in a game but the game last for 60 minutes in a Sabrina continues to score points at this rate will she break the school record show how you know set up a proportion
Answers
Children’s Fever Medicine
(given every 4–6 hours, as needed)
Weight 24+ lbs 36+ lbs 48+ lbs 60+ lbs 72+ lbs
Dosage 5 mL 7.5 mL 10 mL 12.5 mL 15 mL
a) Evaluate the data and find the rate of change from one age group to the next. Explain how you found the rate of change. (2 points)
Answers
Answer:
The rate of change would be 50
Step-by-step explanation:
The graph with weight is going by 12 in each so an example would be 24 and 36 is going by 12 like the graph. and the dosage is going by 2.5 an example would be 5 and 7.5 witch is going by 2.5
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. What integer represents a
loss of 750 points?
Answers
An integer is a whole number that can be positive, negative, or zero and is not a fraction. The integer that represents a loss of 750 points is -750.
What is an integer?An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.
Given that a contestant in a game show has 9,000 points. Further, The contestant answers the next question incorrectly and loses 750 points.
Now, since the 750 points are a loss and will be deducted from the total points, therefore, these 750 points can be represented by -750.
Hence, the integer that represents a loss of 750 points is -750.
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Solve 5y + 9 <4
The solution is
Answers
Answer:
y< -1
Step-by-step explanation:
Which expression equals 24?
Answers
Answer:
Lots.
Step-by-step explanation:
12 + 12, 2 x 12, 48 divided 2, etc.
Lots of expressions make 24.
Answer:For this case we must find an expression equivalent to 24, including exponents. To do this, we decompose factor 24. By definition, factorial decomposition consists of writing a number as the multiplication of other numbers.
Then:
We have the "2" is written three times, then:
Answer:24 = 2 to the 3rd power x 3
Step-by-step explanation:
}−2x+2y=−4
{3x+3y=−18
find the solution to the systems of equations
Answers
Answer:
Answer=
x=(-2),y=(-4)
and in components form,
(-2,-4)
Step-by-step explanation:
equation1 (-2x+2y=-4)
equation2 (3x+3y=-18)
(times equation 1 by 3 and times equation 2 by 2, to make the y values equal to each other)
E1 (-6x+6y=-12)
E2 (6x+6y=-36)
(subtract both equations from each other)
-6x+6y=-12
-
6x+6y=-36
=(-12x=24)
so, x=24÷-12=-2
(then we sub the value of x into one of the equations- the new one or the old one)
3x+3y=-18
(3×-2)+3y=-18
3y=-18+6=-12
y=-12÷3=-4
The table shows the unit prices for items Darryl
purchased to improve Downtown Deli.
Darryl places an order for 128 ounces of pickles, 24
loaves of bread, and 25 pounds of coffee. What is the
total cost of the order?
$
Answers
Answer:
94.85
Step-by-step explanation:
0.20x128=25.60
0.75x24=18.00
2.05x25=51.25
25.60+18.00+51.25= 94.85
Answer:
it is 94.85
explanation:
i took this applications of unit rate test trust me. :D
need help on this one
Answers
120 in 2 days plus 2 more days will be 240 plus 1 more day it’s 60 so 240+60= 300
SO THE ANSWER IS (A) : 120 pages in 2 days )
A man earned wages of $30,600 , received $2900 in interest from a savings account, and contributed $2600 to a tax-deferred retirement plan.He was entitled to a personal exemption of $2500 and had deductions totaling $5020. Find his gross income, adjusted gross income, and taxable income
Answers
Answer:
So the answer is gonna be: 33,580. Hope this help!
Step-by-step explanation:
help plz
i need help
Answers
Answer:
ill help you with my long shalong
Step-by-step explanation:
Which fees are associated with checking accounts and online banking? Select all that apply.
1. Upfront fees.
2. Lost card fees.
3. Interest fees.
4. ATM fees.
5. Inactivity fees.
6. Retainer fees.
Answers
Answer:
I know that upfront fees, inactivity fees, and ATM fees are associated with online banking and checking accounts
Step-by-step explanation:
Identify the independent and dependent variables: The cost to gift wrap an order is $ 3 plus $1 per item wrapped
Answers
Answer: Indep. is: $3 and the dependent is $1
Step-by-step explanation:
Every item is $3, but if you add more then you also add $1
Help help please please
Answers
Find the sum of the polynomials: (x2 + 4x + 5) + (3x – 3)
Answers
+2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4
Answer:
x^2+7x+2
Step-by-step explanation:
hi! you can only combine terms with the same power (exponent value).
if we stack this like a regular addition problem, it will be easier.
x^2 + 4x + 5
3x - 3
-----------------------
4x+3x is 7x, and 5+ (-3) is 2. we keep the x^2 the same.
therefore, the answer is x^2+7x+2
hope this helps!
please help thank you so much
Answers
Answer:
no solution
Step-by-step explanation:
What is the length of the arc on a circle with radius 16 ft intercepted by a 60° angle?
Use 3.14 for pie
Round the answer to the hundredths place.
Answers
so, arc length = 16(60)
960 is the answer!
Answer:
16.75
Step-by-step explanation:
If f(x) = -3x4 - 2x3 + 3x2, and g(x) = 3x4 - 4x3 + x2 then f(x) + g(x) =
Answers
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[tex]f(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} [/tex]
[tex]g(x) = 3 {x}^{4} - 4 {x}^{3} + {x}^{2} [/tex]
[tex]f(x) + g(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} + 3 {x}^{4} - 4 {x}^{3} + {x}^{2} \\ [/tex]
[tex]f(x) + g(x) = - 3 {x}^{4} + 3 {x}^{4} - 2 {x}^{3} - 4 {x}^{3} + 3 {x}^{2} + {x}^{2} \\ [/tex]
[tex]f(x) + g(x) = - 6 {x}^{3} + 4 {x}^{2} \\ [/tex]
Done....
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Answer:
_
1-+\|13
x= -------- or x1= - + 0.434259, x2=0
6
Step-by-step explanation:
1. collect terms
2. factor the expression
3. divide both sides
4. separate into possible cases
5. solve the equation
6.Equation has 3 solution
HWLP NOW IM FREAKING OUT INNEED HELP
Answers
Answer:
I believe the answer is 14
Step-by-step explanation:
0.25x14=3.5 or 3 1/2 hope this helped!! <3
Answer:
The answer is C
Step-by-step explanation:
Hope this helped!
Simplify -51/4-(-71/2). Which of the following is correct
Answers
Answer:
91/4 as a fraction, 22.75 as a decimal
Step-by-step explanation:
(-51/4) - (-71/2)
=
(-51/4) + (71/2)
=
(-51/4) + (142/4)
=
(-51+142/4)
=91/4
Your answer is 91/4. The decimal version is 22.75. Hope this helps :)
what is the range of the function?
1 -->2
2-->4
3-->9
4-->16
Choices:
A: {1,2,3,4,9,16}
B:{1,2,3,4}
C:{2,4,9,16}
D:{1,2}
Answers
Answer:
I think that answer is C i believe
What is the answer, step by step? 208x13
Answers
Answer:
208*13= 2704
Step-by-step explanation
+2
208
x 13
624
+ 2080
2704
Charlie bought hamburgers and drinks for his coworkers. Each hamburger cost $3.75 and each drink cost 50 cents. In total, Charlie paid $25.50 for his order. Write an equation that represents the relationship between the number of hamburgers he bought, h, and the number of drinks he bought, d.
Answers
Answer:
25.50=3.75h+0.50d
Step-by-step explanation:
I need help with rounding
Answers
Answer:
ok so say the number is 23 you would look at the 3 and ask yourself is the 3 greater or smaller than 5 if its 4 and under you keep the number the same and just add a zero which would make it 20 and if its 5 and over you would add 1 to the first number and put a 0 at the end making it 30. HOPE THIS HELPS!
At a business meeting at Panera Bread , the bill for two cappuccinos and three caffe lattes was $19.75. At another table, the bill for one cappuccino and two lattes was $11.97 . How much did each type of beverage cost? Help!!
Answers
Answer:
too much
Step-by-step explanation:
i'm broke