Identify two ordered pairs below that would form a direct variation:
(2, 8)
(4, 9)
(20, 5)
(10, 10)
(12, 3)
(2, 18)
Answers
Answer:
(12,3) and (20,5)
Step-by-step explanation:
When using the direct variation equation we can check these by division and we get .25 for the answer of both.
3/12 and 5/20
Related Questions
on average, a certain kind of kitchen appliance requires repairs once every one years. assume that the times between repairs are exponentially distributed. what is the probability that the appliance will work at least eight years without requiring repairs?
Answers
P(X > 8) = e^(-λx)
where X is the time between repairs, λ is the rate parameter (1/1 = 1), and x is the time we are interested in (8 years).
P(X > 8) = e^(-1*8) = e^(-8) = 0.00033546
Therefore, the probability that the appliance will work at least eight years without requiring repairs is approximately 0.00033546, or about 0.0335%.
there are more than 200 pages but fewer than 800 in my book. all thre digits of my number are the same. the number is divisible by 9. how many pages sre in my book
Answers
Answer:777
Step-by-step explanation: I do not care
There are 333 pages are in my book.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are more than 200 pages but fewer than 800 in my book.
And, All the digits of my number are the same and the number is divisible by 9.
Now,
Let a number with three same digit = xxx
So, We get;
200 < xxx < 800
Since, the number is divisible by 9.
So, By the rule of the number divide by 9, we get;
x + x + x = 9k
3x = 9k
for k = 1;
x = 3
Thus, Number of pages = 333
Therefore,
There are 333 pages are in my book.
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i need to find the location of X
Answers
Answer:
-8
Step-by-step explanation:
midpoint = (W + X)/2
midpoint = [-11 + (-5)]/2
midpoint = -16/2
hence midpoint = -8
A zookeeper is monitoring the population of gazelles. The herd needs to have exactly three times more males than females to thrive. The zoo only has room for a maximum of 12 female gazelles. Let x represent the number of female gazelles and y represent the number of male gazelles. Write the constraints that represent the possible number of male and female gazelles that can live in a thriving population at the zoo. X > 0 and y > 0 0 < x ≤ 12 and 0 < y ≤ 36 0 < x ≤ 12 and y > 36 x > 0 and y < 23.
Answers
Option C is correct.
Given to us:
female gazelles\((x)\) can be maximum of 12 only. therefore,
Condition 1 is \(12\geq x>0\).
while,
male gazelles\((y)\) should be exactly 3 times more than females to thrive. therefore,
Condition 2 is \(36\geq y>0\).
There is only one option among all the options available which is satisfying both the conditions. therefore, option C is the correct option.
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Answer:
c is the answer
Step-by-step explanation:
it took the test and got it correct
Coffee pods are sold in three different sizes of box. A small box has 12 coffee pods and costs £4.08. A medium box has 20 coffee pods and costs £7.80. A large box has 35 coffee pods and costs £12.95. Work out which size of box gives the best value for money. O small box O medium box O large box.
Answers
we can see that the small box offers the best value for money with a cost of £0.34 per coffee pod. Therefore, the answer isThe small box gives the best value for money.
How to find the cost of pods?To determine the best value for money among the three sizes of coffee pod boxes, we need to calculate the cost per coffee pod for each size of the box.
For a small box with 12 coffee pods costing £4.08, the cost per coffee pod can be calculated as:
Cost per coffee pod = £4.08 ÷ 12 = £0.34
For a medium box with 20 coffee pods costing £7.80, the cost per coffee pod can be calculated as:
Cost per coffee pod = £7.80 ÷ 20 = £0.39
For a large box with 35 coffee pods costing £12.95, the cost per coffee pod can be calculated as:
Cost per coffee pod = £12.95 ÷ 35 = £0.37
Comparing the cost per coffee pod for each box size, we can see that the small box offers the best value for money with a cost of £0.34 per coffee pod. Therefore, the answer is:
The small box gives the best value for money.
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PLEASE HELP ASAP, ILL GIVE BRAINLIEST
Answers
Answer:
false, false, true, true, true
Step-by-step explanation:
Let's check each of the answers by plugging them into the inequality.
-2 (false):
\(9-3(-2)<12\\9-(-6)<12\\9+6<12\\15<12\)which is false.
-1 (false):
\(9-3(-1)<12\\9-(-3)<12\\9+3<12\\12<12\)which is false.
0 (true):
\(9-3(0)<12\\9<12\)which is true.
1 (true):
\(9-3(1)<12\\9-3<12\\6<12\)which is true.
2 (true):
\(9-3(2)<12\\9-6<12\\3<12\)which is true.
Please help me and explainn !!!!!
Answers
Answer:
Step-by-step explanation:
the first one is 2
Indicate below weather the equation in the box is true or false
Answers
Answer:
False
Step-by-step explanation:
4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10
What is 9c + (-15c) + -3c=
Answers
Answer:
9c + (-15c) + (-3c) = -9c
Step-by-step explanation:
9c + (-15c) + (-3c) =
9c - 15c - 3c =
-6c - 3c =
-9c
A recipe calls for 5 teaspoons of orange juice. A can of orange juice is 21 fluid ounces. How many teaspoons of juice is in the can?
Answers
Answer:
21 fluid ounces = 126 teaspoons
Step-by-step explanation:
1 teaspoons is 0.166667 fluid ounces
Now we just have to think 0.166667 * x = 21
21 ounces = 126 teaspoons
Hope this helped :)
Answer: the can contains 126 teaspoons in the can of range juice.
Step-by-step explanation:
given,
no. of teaspoons of orange juice is the call= 5 teaspoons
ounces in the orange juice can= 21 fluid ounces
if 1 ounce = 6 teaspoons
then, 21 ounces= 126 teaspoons.
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URGENT!! ILL GIVE BRAINLIEST! 100 POINTS
Answers
The most likely outcomes for a particular project are estimated as follows;
Unit price:
§ 80
Variable cost:
§ 60
Fixed costi
§ 440,800 Expected
sales:
40,600 units per year However, you recognize that some of these estimates are subject to error. Suppose each variable turns out to be either 5% higher or 5% lower than the initial estimate. The project will last for 10 years and requies an initial investment of $14 milion, which wil be depreciated straight line over the projeci life to a final value of
zero. The firm's tax rate is 21%, and the required rate of retum is 14%. a. What is project's NPV in the best-case scenario, that is, assuming all variables take on the best possible
value?
b. What is project's NPV in the worst-case scenario? Note: For all the requirements, a negative amount should be indicated by a minus sign. Enter your answers in dollars, not in millions. Do not round intermediate calculations. Round your answers to the
nearest dollar amount.
Answers
To calculate the project's NPV in the best-case scenario, we need to consider the best possible values for each variable.
Here are the steps-
Step 1: Calculate the annual cash inflow.
Annual revenue = Unit price * Expected sales
= $80 * 40,600
= $3,248,000
Step 2: Calculate the annual cash outflow.
Annual variable cost = Variable cost * Expected sales
= $60 * 40,600
= $2,436,000
Annual fixed cost = Fixed cost
= $440,800
Annual depreciation = Initial investment / Project life
= $14,000,000 / 10
= $1,400,000
Annual tax = (Annual revenue - Annual variable cost - Annual fixed cost - Annual depreciation) * Tax rate
= ($3,248,000 - $2,436,000 - $440,800 - $1,400,000) * 0.21
= $208,720
Step 3: Calculate the annual net cash flow.
Annual net cash flow = Annual revenue - Annual variable cost - Annual fixed cost - Annual depreciation - Annual tax
= $3,248,000 - $2,436,000 - $440,800 - $1,400,000 - $208,720
= $162,480
Step 4: Calculate the NPV using the best-case scenario cash flows.-
\(NPV = Initial investment + (Annual net cash flow / (1 + Required rate of return)^n)\)
\(= -$14,000,000 + ($162,480 / (1 + 0.14)^1) + ($162,480 / (1 + 0.14)^2) + ... + ($162,480 / (1 + 0.14)^10)\)
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As an estimation we are told 5 miles is 8 km.
Convert 40 km to miles.
Answers
The graph below represents the proportional relationship between the weight of objects on Earth versus their weight on the Moon. What is the constant of proportionality? (Hint: it equals the slope of the line.)
Answers
Answer:
\( \frac{1}{6} \)
Step-by-step explanation:
let constant = k, then the proportional equation must be
y=kx
as the graph we get random point through (12, 2) so x=12 and y=2, substitute to y=kx we get
2=k.12
2/12=k
1/6 = k
If i toss a fair coin five times and the outcomes are ttttt, then the probability that tails appears on the next toss is.
Answers
The probability that tails appears on the next toss is 0.5
Given,
In the question:
If I toss a fair coin five times and the outcomes are TTTTT,
To find the probability that tails appears on the next toss is.
Now, According to the question:
The possible ordered outcomes are listed as elements in a sample space, which is commonly indicated using set notation.
A sequence of five fair coin flips has a sample space that contains all potential outcomes. \(2^3\) {H, T} is the sample of a fair coin toss. {HHHHH, HHHHT, HHHTH, HHTHH, HTHHH,...…TTTTT} .
The probability of a tails result on the next flip is always equal to 0.5 It makes no difference if previous outcomes were {TTTTT} , {HHHHH} or {THTHT} In each of these and all other circumstances, the probability of the next being tails is still 0.5
Hence, the probability that tails appears on the next toss is 0.5
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3. 1. ∼ M ∨ (B ∨ ∼ T)
2. B ⊃ W
3. ∼∼M
4. ∼ W / ∼ T
Answers
∼ W is false. ∴ ∼ W from statement (4). Therefore, we can say that ∼ T is true, which is our required result.
Learn more about Given:
∼ M ∨ (B ∨ ∼ T)B ⊃ W∼∼M∼ W / ∼ TTo prove: ∼ T
From statement (1), we have ∼ M ∨ (B ∨ ∼ T). Using the equivalence of (P ∨ Q) ≡ (∼P ⊃ Q), we can rewrite it as ∼ M ⊃ (B ∨ ∼ T).
Since ∼∼M is given, M is true. Therefore, we can say that B ∨ ∼ T is true.
From statement (2), we have B ⊃ W. Using modus ponens, we can conclude that W is true.
We also have ∼ W from statement (4). Therefore, we can say that ∼ T is true, which is our required result.
Hence, the proof is complete. We used the implication law and modus ponens to establish the truth of ∼ T based on the given information.
To summarize:
∼ M ∨ (B ∨ ∼ T) ...(1)
B ⊃ W ...(2)
∼∼M ...(3)
∼ W ...(4)
/ ∼ T
∴ ∼ M ⊃ (B ∨ ∼ T) ...(1) [Using (P ∨ Q) ≡ (∼P ⊃ Q)]
Since ∼∼M is given, M is true.
B ∨ ∼ T is true. [Using modus ponens from (1)]
B ⊃ W and W is true. [Using modus ponens from (2)]
Therefore, ∼ W is false.
∴ ∼ T is true. [Using (P ∨ Q) ≡ (∼P ⊃ Q)]
Hence, the proof is complete
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can someone help me with this asapp
Answers
Answer:
I think it's 2,1 forgive me if it's wrong
Thea, Maria, and Pam are a teacher, a mechanic, and a pilot. None has a job that starts with the same letter as her name. Thea recently had her car repaired by the mechanic. Who has which job?
Answers
The answer is Thea - pilot, maria - teacher and pam - mechanic.
Given:
Thea, Maria, and Pam are a teacher, a mechanic, and a pilot. None has a job that starts with the same letter as her name. Thea recently had her car repaired by the mechanic.
From given statements:
Thea is not a teacher because thea name starts with t.
Maria is not a mechanic because maria name starts with m.
Pam is not a pilot because pam name starts with p.
Thea recently repaired her car by the mechanic so she is not a mechanic because if she is mechanic she can repair the car, so thea has only one possibility that she is a pilot.
Maria is not a mechanic and pilot and she has only one possibility that is she is a teacher.
Pam has only one left that is she is a mechanic.
Therefore the answer is Thea - pilot, maria - teacher and pam - mechanic.
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Bill's rectangular bedroom is 2 m long, 4 m wide, and 2.5 m high. Air typically has around 4,000 bacteria per cubic meter. About how many bacteria are present in Bill's bedroom?
Answers
Answer:
80000bacterias
Step-by-step explanation:
Volume of the bedroom= length ×width× height
Given
Length = 2m
Width = 4m
Height= 2.5m
Volume of the bedroom= 2×4×2.5
Volume of the bedroom = 20m³
Given that;
4000bacterias = 1m³
x bacteria = 20m³
Cross multiply
x =4000×20
x =80000
Hence 80000 bacteria's are present in Bill's room
Claire i buying 6 pack of index card. Each pack of index card cot $1. 95. The tore where he buy the index card i having a ale in which all item are 20% off. How much doe Claire pend on index card?
Answers
Answer:
2.34
Normally it would be 1.95*6 however since everything is 20% off you need to find 20% of 1.95. You find that by:
Step-by-Solution for What is 20 percent of 1.95: 20 percent *1.95 = (20:100)*1.95 = (20*1.95):100 = 39:100 = 0.39. Now we have 20 percent of 1.95 = 0.39. explanation:
After you find that you multiply it by 6 so it would be 0.39*6 which equals 2.34. I hope this helped! :)
Solve 0 = x2 + 6x + 13 by completing the square.
Answers
The solution of the given equation is x = 4i-3.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given equation is x² + 6x + 13 = 0. The solution of the equation will be done as,
x² + 6x + 13 = 0
( x + 3 )² - 3² + 13 = 0
( x + 3 )² - 9 + 13 = 0
( x + 3 )² = -4
( x + 3 ) = √-4
( x + 3 )² = 4i
x = 4i - 3
Therefore, the solution of the given equation is x = 4i-3.
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Answer these too questions plz
Answers
Answer:
Closed numbers
Monomial
Step-by-step explanation:
Closed numbers are the only that makes sense
Anything times 0 is 0 thus it is only 3y which makes it a monomial
How much paint is needed to cover a floor that is 8 meters by
10 meters?
Answers
Answer:
enough to paint an area = 80 m²
Step-by-step explanation:
area = 8 x 10 = 80 m²
can someone please help me
Answers
Answer:
135=9r
Step-by-step explanation:
"product" means multiplication.
Not much needed to be explained
write the expression as a single real number. Do not use decimal approximations
sin(pie/6)cos(pie/2)-cos(pie/60)sin(pie/2)
Answers
The expression as a single real number is \(\frac{1-\sqrt{3} }{2}\) .
What is trignomentry ?
Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. It is used to study the properties of triangles and to solve problems involving angles and distances in two-dimensional space.
sin(π/6)cos(π/2) - cos(π/60)sin(π/2)
The first term in the expression, sin(π/6)cos(π/2), can be simplified as follows ,
sin(π/6) = √(3)/2, cos(π/2) = 0
so sin(π/6)cos(π/2) = (√(3)/2) * 0 = 0
The second term in the expression, -cos(π/60)sin(π/2) , can be simplified as follows ,
sin(π/2) = 1, cos(π/60) = sqrt(3)/2 - 1/2
so -cos(π/60)sin(π/2) = -(sqrt(3)/2 - 1/2) * 1 = -sqrt(3)/2 + 1/2
Now we can substitute the simplified values back into the original expression ,
0 - (-sqrt(3)/2 + 1/2)
and combining like terms, \(\frac{1-\sqrt{3} }{2}\),
Hence , The expression as a single real number is \(\frac{1-\sqrt{3} }{2}\) .
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Find the value of x so that the shaded region is a gnomon to the white rectangle.
Answers
Based on the shaded region, the value of x which makes this region a gnomon is x = 1.
What is value of x?Based on the dimensions of the side that isn't shaded, and the dimensions of the side that is shaded, the value of x can be found as:
3/ 6 = (1 + 3) / (x + 6 + x)
1/2 = 4 / (6 + 2x)
6 + 2x = 4 / (1/2)
2x = 8 - 6
x = 2/2
x = 1
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I don't get this please help
Answers
Answer:
1. 3 inches per hour
2.72 miles per hour
Answer:
1. 3 2. 72
Step-by-step explanation:
For number 1 and 2 you have todivide them
help, please......................................................
Answers
Answer:
36
4×4=16
8×2=16
4×2=8/2= 4
16+16+4=36
Answer:
I am not sure but I think the area is 28.
I know two things for sure: the area is less than 32 and more than 24.
Step-by-step explanation:
Have a nice day!
can I maybe have brainliest? Thanks!
The scale on the map is 1 centimeter is equal to 25 kilometers. On the map, the distance the towns along the highway is 4.5 centimeters. Tori's car uses 0.123 liter of gasoline for each kilometer of highway driving. How many liters of gasoline to the nearest liter will Tori need to drive from one of these town to the other?
Answers
Answer: About 14 liters of gasoline is required.
Step-by-step explanation:
On the map,
1 centimeter= 25 kilometers.
Distance the towns along the highway is 4.5 centimeters.
Actual distance = 4.5 x 25 km
= 112.5 km
Tori's car uses 0.123 liter of gasoline for each kilometer of highway driving.
Total gasoline required = 0.123 x 112.5 km
= 13.8375 liters≈ 14 liters
hence, about 14 liters of gasoline is required.
Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. f(x)=2(x 2
+3)(x+1) 2
−3, multiplicity 1 , crosses the x-axis; −1, multiplicity 2 , crosses the x-axis None −1, multiplicity 2 , touches the x-axis and turns around -3, multiplicity 1 , crosses the x-axis; −1, multiplicity 2 , touches the x-axis and turns around. −1, multiplicity 2 , crosses the x-axis
Answers
The polynomial function \(\(f(x) = 2(x^2+3)(x+1)^2\)\) has zeros at -3 with multiplicity 1, and -1 with multiplicity 2. The graph of the function crosses the x-axis at -3 and -1.
To find the zeros and their multiplicities, we set \(\(f(x)\)\) equal to zero and solve for \(\(x\).\)
Setting \(\(f(x) = 0\),\) we have:
\(\[2(x^2+3)(x+1)^2 = 0\]\)
Since the product of two factors is zero, at least one of the factors must be zero. Thus, we solve for \(\(x\)\) in each factor separately:
1. \(\(x^2 + 3 = 0\):\)
This equation does not have real solutions since the square of a real number is always non-negative. Therefore, this factor does not contribute any real zeros.
2. \(\(x + 1 = 0\):\)
Solving for \(\(x\), we find \(x = -1\).\) This gives us a zero at -1 with multiplicity 1.
Since the factor \(\((x+1)^2\)\) is squared, the zero -1 has a multiplicity of 2.
Therefore, the zeros for the polynomial function are -3 with multiplicity 1 and -1 with multiplicity 2. The graph of the function crosses the x-axis at both zeros.
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