Answers
Answer:
b(side length) = 15 centimeters
Step-by-step explanation:
Given an assumed regular rectangular prism which has a height of 18, and volume of 4050 cubic centimeters.
We are also given the formula b = (v/18)^1/2 which is said to find the side length of the rectangular prism. Therefore, it is implied that b must be the side length. Since we know everything except the side length we can substitute the volume since we are already given the height in the formula derived from the problem.
b = (4050/18)^1/2
b = (225)^1/2
b = 15
___________
We should also know that the volume of a rectangular prism is defined as V = l × w × h, with l as the length, w as the width, and h as the height, given that b is the side length which is multiplied by the width and height to get 4050, the base must be a square. Since 4050 = 15 × w × 18
4050 = 270 × w
4050/270 = w
15 = w
w = 15.
A square base is when the length and width are equal. Therefore this value has to be true.
As 15 × 15 × 18 = 4050.
Related Questions
For questions 18-20, if I ll m, find the values of .x and y.
18.
(3x - 16)
(lly - 32)
(6x + 7)
Answers
Answer
x=3.8 16.1
Step-by-step explanation:
i deeply apologize if this is incorrect but this is the work i did to make this answer
3x-16=6x+17
-3x+16
6x 23
x=3.8
y
6(3.8)+7+11y-32=180
22.8+7
29.8+11y-32=180
32
-29.8
11y+2.2=180
11y=177.8
y=16.1
Reasonable definitions of the decision variables are:________
a) x subscript 11 household without children under 16 and without premium subscription
x subscript 12 household without children under 16 but with premium subscription
x subscript 21 household with children under 16 but without premium subscription
x subscript 22 household with children under 16 and with premium subscription
b) x subscript 11 number of interviewed households without children under 16 and without premium subscription
x subscript 12 number of interviewed households without children under 16 but with premium subscription
x subscript 21 number of interviewed households with children under 16 but without premium subscription
x subscript 22 number of interviewed households with children under 16 and with premium subscription
c) x subscript 11 cost of interviewing a household without children under 16 and without premium subscription
x subscript 12 cost of interviewing a household without children under 16 but with premium subscription
x subscript 21 cost of interviewing a household with children under 16 but without premium subscription
x subscript 22 cost of interviewing a household with children under 16 and with premium subscription
d) All of the above are reasonable definitions.
e) None of the above.
Answers
Answer:
The correct answer is A.
Step-by-step explanation:
Decision variable are the numbers which are determined by the decision makers. This enables to identify the different possible events that might occur. The decision makers then select a number and identifies the possible occurrence of the events.
16 ÷ ( 2/5 + 2/ 3 ).
Answers
Answer:
15
Step-by-step explanation:
16 % (2/5 + 2/3) = 16 % (6/15 + 10/15) = 16 % 16/15 = 16/1 x 15/16 = 240 % 16 = 15
Answer:
15
Step-by-step explanation:
What is (2 + 4i) + (-6-4i) simplified?
Answers
1. Find the area of the polygon, explain your process.
Answers
An airplane takes off and then climbs 2500 feet. After 20 minutes, the airplane drops 150 feet.
What is the airplane's current height?
Answers
Answer:
2350 feet
Step-by-step explanation:
2500-150=2350
21x40=840, so 21x 42 =
Use mental math
Answers
Answer:
882
Step-by-step explanation:
mental math right ;)
Gillian’s Restaurant has an ice-cream counter where it sells two main products, ice cream and frozen yogurt, each in a variety of flavors. The restaurant makes one order for ice cream and yogurt each week, and the store has enough freezer space for 115 gallons total of both products. A gallon of frozen yogurt costs $0.75 and a gallon of ice cream costs $0.93, and the restaurant budgets $90 each week for these products. The manager estimates that each week the restaurant sells at least twice as much ice cream as frozen yogurt. Profit per gallon of ice cream is $4.15, and profit per gallon of yogurt is $3.60.
Required:
a. Formulate this problem as a linear program. Make sure to clearly define you variables and label your constraints.
b. Solve this model by using graphical analysis.
Answers
Answer:
P=$440Step-by-step explanation:
NOTE: kindly find attached the graphical analysis/solution.
Given the data, we are expected to maximize the profit of Gillian’s Restaurant
let X be icecream
and Y be yogurt
Our objective function is
4.15X+3.6Y=P
Constraints
a. 0.75X+0.93Y<90
b. X+Y<115
c. X>=2Y = X-2Y>=0
X>=0, Y>=0
a. 0.75X+0.93Y=90
X=0
0.75(0)+0.93Y=90
0.93Y=90
Y=90/0.93
Y=96.77
Y=0
0.75X+0.93(0)=90
0.75X=90
X=90/0.75
X=120
b. X+Y<115
X=0
X+Y=115
0+Y=115
Y=115
Y=0
X+0=115
X+0=115
X=115
c. X>=2Y = X-2Y>=0
X=0
X-2Y=0
0+2Y=0
Y=0
Y=0
X-2(0)=0
X+0=0
X=0
From the graph profit is maximum at
X=80 and Y=30
4.15(80)+3.6(30)=P
332+108=P
440=P
P=$440
We are expected to maximize the profit of Gillian’s Restaurant:
let
X = icecreamY = yogurtObjective function =4.15X+3.6Y=P
Constraintsa. 0.75X+0.93Y<90
b. X+Y<115
Part A :0.75X+0.93Y=90
X=0
0.75(0)+0.93Y=90
0.93Y=90
Y=90/0.93
Y=96.77
Y=0
0.75X+0.93(0)=90
0.75X=90
X=90/0.75
X=120
Part B:X+Y<115
X=0
X+Y=115 0+Y=115 Y=115
Y=0
X+0=115 X+0=115 X=115The graph profit is maximum at
X=80 and Y=30
4.15(80)+3.6(30)=P332+108=P440=PP=$440Find out more information about "linear program":
https://brainly.com/question/14161814?referrer=searchResults
A football team loses 8 yards in one play, then loses 5 yards in the next. What is the team's total yardage for the two plays?
yards=
Answers
Answer:
13 yards
Step-by-step explanation:
Jane babysits for $8 per hour. She earned $240 last week. This equation represents the number of hours, h, Jane babysat last week.
8h=240
How many hours did Jane babysit last week?
Answers
Answer:
30 Hours
Step-by-step explanation:
8h=240
240÷8=30
Answer:
30
Step-by-step explanation:
Because 8 x 30 = 240 or
240 Divided by 8= 30
7th grade help me plzz
Answers
Answer: The temperature rose 20 degrees celsius
Step-by-step explanation:
the difference between -10 and 10 is 20.
Answer: 20 degrees Celsius
Step-by-step explanation:
Explanation:it just is do the math
There are 39 calories in 12 fluid ounces of a tea drink. Based on the information how many calories are in 39 calories of the tea drink. Please show work!!!!!
A. 117
B.900
C.87
D.147
Answers
Answer:
117
Step-by-step explanation:
HELP!!! DUE IN AN HOUR!!
Answers
Answer:
measure 3 equals 121 degrees
Step-by-step explanation:
Measure 2 and 3 make a 180 angle and you subtract 59 from 180 and you get 121.
9/12-1/5???What is the answer????
Answers
Answer:
0.55
Step-by-step explanation:
Answer:
11/20 or 0.55
Step-by-step explanation:
9/12
- 1/5
_____
11/20
(sorry if wrong)
Modeling events using random numbers is known as a/an ______.
A. Census
B. Sample survey
C. Simulation
D. Experiment
Answers
Answer:
C. Simulation
Step-by-step explanation:
The answer is Simulation the modeling events using random numbers is known as a simulation option (C) Simulation is correct.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
It is given that:
Modeling events using random numbers is known:
As we know, a simulation recreates random occurrences by specifying event outcomes with relative frequencies that match the real-world relative frequencies we're aiming to simulate using random numbers.
It's called a simulation when you use random numbers to model an event.
Modeling events using random numbers is known as a simulation.
Thus, the answer is Simulation the modeling events using random numbers is known as a simulation option (C) Simulation is correct.
Learn more about the survey here:
brainly.com/question/17373064
#SPJ2
sela
Lines a, b, c, and d intersect as shown.
rpod
covery Education
FARI Montage
R
124
95
42
53
39
95
What is x?
Answers
Hope this helps:D
Would the product change if 50 + 2 on the top of the area model was changed to 20 + 30 + 2? Explain
Answers
Answer:
It would not change
Step-by-step explanation:
Because if you add you get the same thing
Porcent. Word Problems
1) Potor want to his local zoo that featured 28 bird cachibits. If these bird ochibits make up
80% of the zoo's exhibits, then how many exhibits does the zoo have in total? Round your
answer to the nearest whole number if necessary.
Answers
Answer:
There are 35 total exibits.
Step-by-step explanation:
Can someone please help me with this?
Answers
Answer:
126
Step-by-step explanation:
To get the answer for this, we're going to make an algebra equation and add every angle to make 360 in total. First, we can just write the equation.
x+(x-35)+(x-46)+1/2x=360
Next, we can simplify this.
3 1/2x-81=360
3.5x-81=360
Add 81 to both sides.
3.5x-81=360
+81 +81
3.5x=441
Divide by 3.5 on both sides.
3.5x=441
/3.5 /3.5
x=126
Each x is 126.
I hope this helps!!! Have an amazing day C:
Geometry question, look at picture
Answers
Answer:
152° = w + 73°
=> 152° - 73° = w
=> 79° = w
If my answer helped, please mark me as the brainliest!!
Thank You!!
(28)/(x)*(4)/(5)+1=22
Answers
Answer:
I got -8
Step-by-step explanation:
i googled it but check it just incase
A case of single-serving bags of chips contains 8 boxes. Each box contains 10 bags of chips.
A case of chips cost $29.60. What is the unit price for a single bag of chips?
Answers
Answer:
each bag of chips are 0.37 cents
Step-by-step explanation:
1 case =29.60
29.60 divided by 8 (number of boxes in case)=3.70
3.70 divided by 10(number of chip bags in box)=0.37
Therefore each bag of chips = 0.37cents
How could you correctly rewrite the equation 6(11 – 3) = 4(7 455) using the distributive property?
18 - 66 = 20 +28
66 - 18 = 28 + 20
66 - 33 = 28 + 5
66 - 3 = 28 + 35
Answers
Answer:
B. 66-18=28+20
Step-by-step explanation:
Answer:
B.) 66 - 18 = 28 + 20
Step-by-step explanation:
5.) John goes out to eat at a local restaurant. The bill comes to $24.60. John want to
leave a 15% tip. How much of a tip should he leave?
Answers
Answer:
$3.69 for tip
Step-by-step explanation:
So you would want to find 15% of $24.60
which the answer to that would be $3.69 for the tip
what is 0.7283 written in standard form
Answers
Answer:
0.7283 written
in scientific is: 7.283×10^-1
Step-by-step explanation:
thats what i think but i'm not sure, hope you got it right sweetie!
Answer:
in scientific notation is 7.283×10^-1
Which number sentence is true?
O A) 196 > 10
OB) 58 > 6.85
OC) -4/ > 25
OD) 8.45 x 102 > 845
Answers
Answer:
O A / OD
Step-by-step explanation:
196 is greater than 10
8.45×102 is greater than 845
And this one you need to evaluate it please show your work I need help
Answers
Step-by-step explanation:
-5 + 2 - 8 - (-14) =
(-3) - 8 + 14 =
-11 + 14 =
3 =
not sure but here you go^^
please solve and write an equation for the graph answer choices
question 1 rate of change 57 or .75
question 2 ordered pair (44,57) or (57,44)
question 3 equation A y=-1/2x+6
B y=-1/2x+1
C y=-1/2x+10
D y=1/2x+1
please answer every question
Answers
Note: Figure not drawn to scale
In the circle above, point A is the center and the length of arc BC is 2/5 of the circumference of the circle.
What is the value of x?
Answers
Answer:
The value of x is 144°
Step-by-step explanation:
Let us revise some facts about the circle
The measure of the circle is 360°The length of the circle is 2πr (circumference)If the length of an arc is a/b of the circumference (its length = a/b ×2πr), then the measure of the arc is also a/b of its measure (its measure = a/b × 360°)The measure of any central angle equals the measure of its subtended arcIn the given question
∵ A is the center of the circle
∴ Angle x is a central angle subtended by arc BC
∴ The value of x = the measure of arc BC
∵ The length of the arc BC is 2/5 of the circumference of the circle
∴ The measure of arc BC is 2/5 of the measure of the circle
∵ The measure of the circle = 360°
∴ x = 2/5 × 360°
∴ x = 144°
The value of x is 144°
Which graph I-IV matches with a?
Answers
Answer:
III
Step-by-step explanation:
At t = 0, x = 1.
At t = 0.5, x = 2.
At t = 1, x = 1.
The curve is symmetrical.
The graph that fits is III. x starts at 1, increases 2, then decreases at the same rate back to 1.