Answer:
stan
Step-by-step explanation:
Stan paid less price per liter of gas which is $0.95 per liter.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Harry filled the 75 L gas tank of his pickup truck for $73.88.
Therefore, The cost of 1L of gas is $(73.88/75) = $0.98 per liter.
And Stan paid $0.95 per liter, So Stan paid less per liter of fuel.
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PLEASE HELP!!!!! A satellite telescope has a parabolic dish. Satellite signals are collected at the focal point (focus) of the
parabola. The distance from the vertex of the parabolic dish to the focus is 40 feet. The vertex of the dish is
located at a point 50 feet above the ground and 100 feet to the east of a computer that reads and records
data from the telescope. The diameter of the dish is 160 feet.
The dish illustrates operations on a parabola.
The depth of the parabolish dish is 160 feet.
The bowl is said to be a parabola.
So, we have:
[tex]\mathbf{(x -h)^2 = 4p(y - k)}[/tex]
Where:
[tex]\mathbf{Focus: p = 40}[/tex]
[tex]\mathbf{Vertex:(h,k) = (0,0)}[/tex]
From the question, the diameter is 160 feet.
So, the radius (r) is:
[tex]\mathbf{r = \frac{160}{2} = 80}[/tex]
So, the coordinate of the depth of the parabola would be:
[tex]\mathbf{(x,y) = (60 + 100,y)}[/tex]
[tex]\mathbf{(x,y) = (160,y)}[/tex]
Substitute these values in [tex]\mathbf{(x -h)^2 = 4p(y - k)}[/tex]
So, we have:
[tex]\mathbf{(160 - 0)^2 = 4 \times 40 \times (y -0)}[/tex]
[tex]\mathbf{160^2 = 160y}[/tex]
Divide both sides by 160
[tex]\mathbf{160 = y}[/tex]
Rewrite as:
[tex]\mathbf{y = 160 }[/tex]
Hence, the depth of the parabolish dish is 160 feet.
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Simplify 10/16 to the lowest terms and find an equivalent fraction that has a denominator of 32.
Answer:
5/8, 20/32
Step-by-step explanation:
Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8
To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32
Answer:
5/8; 20/32
Step-by-step explanation:
10/16 = (5 · 2)/(8 · 2) = 5/8 lowest term
equivalent fraction 5/8 = ?/32 means 32÷ 8 = 4 × 5 =20
5/8 = 20/32
If using 10/16 = ?/32 means 32 ÷ 16 = 2 × 10 = 20
Again 10/16 = 20/32
It takes 46 pounds of seed to completely plant a 5 acre field how many pounds of seeds are needed per acre
Answer:
I think 9 if im not correct i sincerely apologize
Solve for x. 5x = 60
Answer:
[tex]x = \frac{60}{5} = 12[/tex]
..........................................
Find the value of x
Write ur answer in simplest form
Answer:
x = 10
Step-by-step explanation:
a² + b² = c²
(5√2)² + (5√2)² = x²
50 + 50 = x²
x² = 100
x= 10
Which can be used to prove that lines P and Q are parallel?
A)same-side exterior angle theorem
B)converse of the alternate interior angles theorem
C)converse of the same-side interior angles theorem
D)converse of corresponding angles postulate
Answer:
B
Step-by-step explanation:
the converse of alternate interior angles theorem states that if two lines are intersected by a transversal forming congruent alternate interior angles then the lines are parallel.
DUE TOMORROW ANSWER USING STEPS: When Tyrese fell asleep one night, the temperature was
24°F. When Tyrese awoke the next morning, the
temperature was -16°F. Letting + denote a rise in
temperature and - denote a drop in temperature, what
was the change in temperature from the time Tyrese
fell asleep until the time he awoke?
Answer:
40°F
Step-by-step explanation:
When Tyrese fell asleep one night, the temperature was 24°F.
When Tyrese awoke the next morning, the
temperature was -16°F.
Letting + denote a rise in
temperature and - denote a drop in temperature, what was the change in temperature from the time Tyrese fell asleep until the time he awoke?
The temperature dropped from a high temperature to a low one : from 24° to -16°
This can be expressed mathematically as 24 - (-16), with - denoting a drop in the temperature
=24-(-16)
=24+16
=40°F
Please mark me brainliest
Answer:
a change of -40°F, i.e., a drop.
Step-by-step explanation:
use the formula
change = end - start
and find -16 - 24 = -40
Classify each number as an integer or not -32/4 yes or no -27/9 yes or no 5/11 yes or no -73.27 yes or no -36 yes or no
Answers:
-32/4 = yes-27/9 = yes5/11 = no-73.27 = no-36 = yes=====================================================
Explanation:
Use long division or a calculator to find that -32/4 turns into -8. This is an integer because it's a negative whole number.
The same goes for -27/9 because it turns into -3
The value -36 is also an integer as well
Something like 5/11 is not an integer because 5/11 = 0.4545 approximately which isn't a positive whole number. Integers are either positive or negative whole numbers, or 0.
For similar reasons, we can see that -73.27 isn't an integer either because it's not a negative whole number.
A worker gets paid overtime at the rate of normal time plus one third. One week he works 40 hours of normal time and 6 hours overtime. If his hourly rate is $15 how much did he earn for that week?
Answer:
$ 720
Step-by-step explanation:
Normal time $ 15
Overtime: 15 x 1/3 = $5 + $15 = $20
(40 x 15) + (6 x 20) = 600 + 120
will you please help me
Answer:
sure if im able, with what?
Step-by-step explanation:
What is the value sinθ?
12/13
13/5
5/12
5/13
Answer:
12/13
Step-by-step explanation:
I got a 100% on the test
The trigonometric function sin is the ratio of perpendicular to hypotenuse thus sinθ = 5/13.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
As per the given right angle triangle,
By sine function.
sinθ = perpendicular/hypotenuse
sinθ = 5/13
Hence "The trigonometric function sin is the ratio of perpendicular to hypotenuse thus sinθ = 5/13".
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(12c(5th power)) x 3c(4th power)
How do we simplify this equation?
Answer:
You can combine the powers and bases to get 36c^9
Step-by-step explanation:
12*3=36
Rule of exponents= n^m*m^n is (n*m)^m+n
Hope this helps.
Zahin has 4/6
kg of rice. She divides it into 5 equal portions to cook for dinner. How much rice, in kilograms, does she use to cook one portion for dinner?
fraction word problem
Answer:
2/15 or 0.13
Step-by-step explanation:
first you multiply 2/3 and 1/5 which gets you 2/15
Premier Consulting’s two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for each of the clients over the four-week period are as follows:
Client Hours
A1 180
B2 75
C3 100
D4 85
Hourly rates vary for the consultant–client combination and are based on several factors, including project type and the consultant’s experience. The rates (dollars per hour) for each consultant–client combination are as follows:
Client
Consultant A B C D
Avery1 100 125 115 100
Baker2 120 135 115 120
Campbell3 155 150 140 130
a. Develop a network representation of the problem.
b. Formulate the problem as a linear program, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firm’s billings. What is the schedule and what is the total billing?
c. New information shows that Avery doesn’t have the experience to be scheduled for client B. If this consulting assignment is not permitted, what impact does it have on total billings? What is the revised schedule?
Answer:
The correct network diagram is the first one.
Step-by-step explanation:
Max 100 x 11 + 115 x 23 + 125 x 12 + 120 x 24 + 1 x 12 + 120 x 21 + 140 x 33 + 135 x 22 + 130 x 34 + 115 x 13 + 155 x 31 + 1
Excel formulation:
А B с D E F G H 1 1 2 2 3 4 5 6 7 Flow RHS Avery =SUM(C3:06) 160 Baker =SUM(C7:C10) 160 Campbell =SUM(C11:C14) 140 A =SUM(C3,
Solver inputs:
Set Objective: $D$15 To: Max Min O Value Of: 0 By Changing Variable Cells: $C$3:$C$14 + Subject to the Constraints: $G$3:$G$5
Solution:
Amount Billing
Avery-Client A 0 0
Avery-Client B 40 5000
Avery-Client C 100 11500
Avery-Client D 0 0
Baker-Client A 40 4800
Baker-Client B 35 4725
Baker-Client C 0 0
Baker-Client D 85 10200
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57925
Make 'Avery to B' zero in the solver entry and run the model again:
Amount Billing
Avery-Client A 0 0
Avery-Client B 0 0
Avery-Client C 100 11500
Avery-Client D 40 4000
Baker-Client A 40 4800
Baker-Client B 75 10125
Baker-Client C 0 0
Baker-Client D 45 5400
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57525
Jane paid $110 for an item at 40% off. What was the original price?
Answer:
$183.33
Step-by-step explanation:
Help me please (I have to write something to send a question)
Answer:
1. This helps me to know if the answer of an opposite integer will be positive or negative by simply subtracting their absolute values then put the sign of the largest absolute value between the two.
2. By identifying first the largest absolute value of the two integers that are being add up. Without, calculations, i will know the sign of the sum.
3. the picture attached is the answer
Step-by-step explanation:
hope it will help you
If this is the graph of f(x)= a(x+h) +k, then:
Answer:
The forth one as both are positive the domain = x ascending = + h and the range = y where y = k the vortex and both include infinity
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Apie
Can someone please help me with this question
Answer:
40 degrees
Step-by-step explanation:
i'm use......
HELPPP!!! WILL MARK BRAINLIEST!!!
Graphing Asymptotes for Rational Functions
Two copies of the same Rational Functions are shown below.
On the graph on the left, draw the Horizontal Asymptote and write the equation for the horizontal asymptote underneath.
On the graph on the right, draw the Vertical Asymptote and write the equation for the Vertical Asymptote underneath.
Answer:
Horizontal Asymptote: y=2
Vertical Asymptote: x=3
Step-by-step explanation:
One way: Look at graph
Look at for a horizontal or vertical line that both lines don't touch.
Second Way:
When you look for vertical asymptotes, you set the denominator equal to zero and solve.
For example, the second question has a denominator of x-3.
x-3=0
x=3 (This is the vertical asymptote)
When you look for horizontal asymptote, you do long division.
For example, the first question [tex]f(x)=\frac{2x}{x-3}[/tex]
The answer will be 2. 2 is the quotient. You only want quotient not remainder.
y=2.
Look at picure please
Answer:
[tex]2 {y}^{7} x - 5 {y}^{5} {x}^{2} - 4{y}^{8} {x}^{3}[/tex]
The cost c, for manufacturing x flags is given by c=x? -24x +39. Find the number of flags manufactured if the cost is $120.
The number of flags are 0
(Simplify your answer.)
9514 1404 393
Answer:
27
Step-by-step explanation:
You want to find x when c = 120.
120 = x^2 -24x +39
x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form
(x -27)(x +3) = 0 . . . . . .factor it
Solutions are ...
x = 27, x = -3 . . . . . values of x that make the factors zero
The number of flags manufactured for a cost of $120 is 27 flags.
The function
y = 3.5x + 2.8 represents the cost y (in dollars)
of a taxi ride of x miles,
a. Identify the independent and dependent variables
UWUWUWUWIWUWUWUUWWUWUWUUWWUUWUWWUUWUWUWWUUWU2UWUWUWUWUWUWUWUWUWUUWUWUWU
Answer:
UWUWUWUUWUWUWUWUUWUWUW
Step-by-step explanation:
UwU OwO
Solve pls brainliest
Answer:
In order: 7.5, 7.5061, 7.56, 9.213
Step-by-step explanation:
Identify the independent and dependent variables in the following situation: Julie notices that her plant grows one inch for every liter of water that it receives. Question 17 options: The independent variable is the type of tap water used, and the dependent variable is the amount of water the plant receives. The independent variable is the amount of water the plant receives, and the dependent variable is the height of the plant. The independent variable is the height of the plant, and the dependent variable is the number of pieces of fruit the plant produces. The independent variable is the height of the plant, and the dependent variable is the amount of water the plant receives.
Determine the independent variable and dependent variable in the situation
The independent variable is the "amount of water the plant receives", and the dependent variable is the "height of the plant".
An independent variable is a the variable which causes a change.A dependent variable is the result or effect of a change.Therefore, the independent variable from the phenomena is "amount of water" and the dependent variable is the "height of the plant".
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Please help me help please help
Answer: 1/2
Step-by-step explanation: it is 1/2 because the 2 points are 2 away on the x an is 1 on the y so it is 1/2.
Plz help I need help
A) HL
B) Not enough information
C) AAS
D) SAS
3+(-5)+9-12÷2
lol easy
An observable characteristic of abnormal body
functioning that medical professionals can
visualize or detect is called what?
a symptom
a sign
a measure
inflammation
Answer:
a sign
Step-by-step explanation:
