A person rented a canoe for 4 hours a paid total of $36. If renting the canoe costs an initial fee of $12 plus an additional amount for each hour the canoe is rented, which graph represents the total cost, y, in dollars, of renting the canoe for x hours.
Answers
Answer:
do you have a picture of the graph??
if not, the canoe is 6$ and hour and the equation to solve was
36=4x+12
Step-by-step explanation:
Related Questions
A cellular phone tower services a 15 mile radius. On a hiking trip, you are 9 miles east and 11 miles north of the cell tower. Are you in the region served by the tower?
Answers
The calculated distance is approximately 14.21 miles, which is less than the 15-mile radius of the cell tower. Therefore, you are within the region served by the tower.
To determine if you are within the region served by the cell tower, we can calculate the distance between your location and the tower using the Pythagorean theorem. According to the given information, you are 9 miles east and 11 miles north of the cell tower.
Using the Pythagorean theorem, the distance from your location to the cell tower can be calculated as follows:
Distance = √((east distance)^2 + (north distance)^2)
= √((9 miles)^2 + (11 miles)^2)
= √(81 + 121)
= √202
≈ 14.21 miles
The calculated distance is approximately 14.21 miles, which is less than the 15-mile radius of the cell tower. Therefore, you are within the region served by the tower.
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55 POINTS CAN YOU HELP ME SOLVE THESE
Answers
Answer: 50
Step-by-step explanation:
Triangle LNK equals 180 degrees, we know that angle N is 58 degrees and angle NLK is 72 degrees, so we can just subtract 72 and 58 from 180 to get angle LKN. Hope that helps
Answer:
50°Step-by-step explanation:
Interior angles in the triangle sum to 180°
m∠NLK + m∠LNK + m∠LKN = 180°m∠LKN = 180° - (72° + 58°) = 180° - 130° = 50°The function y=0.18x+0.15 represents the percent y (in decimal form) of battery power remaining x hours after you plug in a laptop computer. Identify and interpret the slope. \
Answers
Step-by-step explanation:
Given
Function is \(y=0.18x+0.15\)
where,
\(y=\text{Percent of the battery remaining}\\x=\text{time in hours}\)
Comparing the given function with the standard slope-intercept form of the equation \(y=mx+c\)
Here, before plugging into the laptop, the percentage of battery is
\(y=0.18\times 0+0.15\\y=0.15\ \text{or}\ 15\%\)
The slope of the given function is \(0.18\) i.e. in one hour it charges 18% of battery.
The best answer gets 100 points. A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?
Infinitely many solutions exist because the two situations describe the same line.
Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.
Answers
Answer:
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Step-by-step explanation:
Let larger number be X and smaller one be Y.
The two equations are :-
X = 2Y + 3
X = 2Y + 1
As you can tell, the slopes are the same and the y-intercepts are different. So, they will not intersect. Therefore, no solutions exist for this situation.
how do i solve for big arc?
Answers
The measure of the arc TQ is 180°.
Given that a circle with an angle subtended outside is 38° and a small arc of 104°, we need to determine the measure of arc TQ.
So, according to the property of a circle, we have,
m ∠R = 1/2 [m arc TQ - m arc SQ]
38° × 2 = m arc TQ - 104°
76° = m arc TQ - 104°
m arc TQ = 76° + 104°
m arc TQ = 180°
Hence the measure of the arc TQ is 180°.
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Which theorem has two sides and a non-included angle?
Answers
Angle-Angle-Side (AAS) Theorem has two sides and a non-included angle.
What is Angle-Angle-Side (AAS) Theorem?The triangles are congruent if two angles and a non-included side in one triangle are congruent with two angles and the corresponding non-included side in another triangle, according to the Angle-Angle-Side (AAS) Congruence Theorem.The side-angle-side (SAS) theorem is the first such theorem. The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.When two angles and an unincluded side of one triangle are equal to two angles and the corresponding unincluded side of the other triangle, two triangles are said to be congruent (AAS=AAS).To learn more about Angle-Angle-Side (AAS) Theorem refer to:
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Which equations are equal to A= 1/2bh?
Options: A. b= 2A/h
B. b= A/2h
C. h= (1/2) A/b
D. h= 2A/b
Answers
A= 1/2 bh
Take 2 to the other side,
2A= bh
Now take h to the other side,
2A/h= b
suppose deandre borrows $3000 at an interest rate 2% of compounded each year. assume that no payments are made on the loan. follow the instructions below. do not do any rounding.
a) Find the amount owed at the end of 1 year
b) Find the amount owed at the end of 2 years
Answers
We can use the formula for compound interest: A = P(1 + r/n)^(nt), where A represents the amount owed, P is the principal amount, r is the interest rate.
a) To find the amount owed at the end of the first year, we substitute the given values into the compound interest formula. Since the interest is compounded annually, n = 1. Therefore, the calculation is as follows:
A = 3000(1 + 0.02/1)^(1*1)
A = 3000(1 + 0.02)^1
A = 3000(1.02)
A = 3060
Therefore, the amount owed at the end of the first year is $3060.
b) To calculate the amount owed at the end of the second year, we use the same formula but with t = 2:
A = 3000(1 + 0.02/1)^(1*2)
A = 3000(1 + 0.02)^2
A = 3000(1.02)^2
A = 3000(1.0404)
A = 3121.20
Thus, the amount owed at the end of the second year is $3121.20.
In summary, DeAndre borrows $3000 with a 2% compounded interest rate. Using the compound interest formula, we find that the amount owed at the end of the first year is $3060, and at the end of the second year is $3121.20. The formula takes into account the principal amount, interest rate, compounding frequency, and the number of years to calculate the amount owed.
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Can someone help on number 32 please
Answers
Answer:
\(b. -2.5, -\frac{5}{4}, -\frac{2}{3}, 0.75, \sqrt{3}, 1.9, I-4I\)
Step-by-step explanation:
-5/4 is smaller than -2/3 since on the negative sides, any number who is larger is smaller.
0.75 is smaller than the square root of 3 since that equals to 1.7.
1.9 is smaller than the absolute value of -4 since that equals to 4.
Answer:
B) -2.5, -5/4, -2/3, 0.75, √3 (square root of 3), 1.9, |-4|
Step-by-step explanation:
The square root of 3 is ≈ 1.7, -5/4=-1.25, -2/3=-0.66..., and you have |-4|(absolute value of four)=4. So if you just transition values that are squared, fractions, etc to numbers that are easier to use, it makes it much easier to list them from least to greatest or greatest to least. You would list the negatives first, then positives. I hope this helps you and good luck with your assignment.
A biologist is studying a bacteria population that initially contains 10^3 bacteria. In the lab, the population doubles every week. The expression 10^3×2^w models the population of the bacteria after w weeks. How many bacteria will be present in 3 weeks? CK12
Answers
Answer: 8000
Step-by-step explanation:
From the question, we are informed that the expression 10³ × 2^w models the population of the bacteria after w weeks.
The number of bacteria that will be present in 3 weeks will then be:
= 10³ × 2^w
= 10³ × 2³
= 1000 × 8
= 8000 bacterias
if i randomly sample two cities from this group (consider these 45 the 'population' if you will) then what is the probability that at least one of the cities i select will have a commute time greater than 30 minutes?
Answers
The probability of at least 10 cities out 45 have a commute time greater than 30 minutes is 0.893 or 89.3%
Apply the complement rule.
Probability that at least one of the 10 cities you select will have a commute time greater than 30 minutes,
The complement of the event is 'none of the 10 cities have a commute time greater than 30 minutes'.
The probability of the complement event can be calculated by ,
Multiplying probabilities of selecting a city with a commute time less than or equal to 30 minutes for each of 10 selections.
P(none of 10 cities have a commute time > 30 minutes) = (35/45) x (35/45) x ... x (35/45) (10 times)
Because there are 35 cities out of the total 45 that have a commute time less than or equal to 30 minutes.
So the probability that at least one of the 10 cities has a commute time greater than 30 minutes is,
1 - P(none of the 10 cities have a commute time greater than 30 minutes)
= 1 - (35/45) x (35/45) x ... x (35/45) (10 times)
= 1 - 0.1073
= 0.8926
Therefore, the probability that at least one of the 10 cities you select will have a commute time greater than 30 minutes is 0.893 or 89.3%.
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The above question is incomplete, the complete question is:
If i randomly sample two cities from this group (consider these 45 the 'population' if you will) then what is the probability that at least one of the 10 cities i select will have a commute time greater than 30 minutes?
using polar coordinates, evaluate the integral ∫∫sin(2 2) where r is the region 9≤2 2≤49.
Answers
Answer : The integral value is: ∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))
Given: we have 3 ≤ r ≤ 7.
The integral becomes: ∫∫sin(r^2) dr dθ
with r ranging from 3 to 7 and θ ranging from 0 to 2π.
Now we can evaluate the integral:
∫(0 to 2π) dθ ∫(3 to 7) r sin(r^2) dr
To solve the inner integral, we use substitution. Let u = r^2, so du = 2r dr.
Then: (1/2)∫(9 to 49) sin(u) du = [-(1/2)cos(u)](9 to 49) = -(1/2)[cos(49) - cos(9)]
Now, evaluate the outer integral:
∫(0 to 2π) [-(1/2)(cos(49) - cos(9))] dθ = -[(1/2)(cos(49) - cos(9))][θ](0 to 2π)
= -(1/2)(cos(49) - cos(9))(2π - 0) = -π(cos(49) - cos(9))
So the integral value is:
∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))
An electric company calculates a persons monthly bill from the number of kilowatt kWh, x, used
The function (in photo ) determines the bill
How much is the bill for a person who uses 400 kWh in a month
A. 50
B. 60
C. 40
D. 30
Answers
Answer:
Option (A)
Step-by-step explanation:
From the given piecewise function that represent the amount of bill from number of units of electricity used is 'x' kWh.
b(x) = 0.10x when x ≤ 200
0.15(x - 200) + 20 when x > 200
For x = 400 kWh,
Function which represents the expenses of the bill,
b(400) = 0.15(400 - 200) + 20 [Since x > 200]
= 0.15(200) + 20
= 30 + 20
= $50
Therefore, Option (A) will be the answer.
sat scores in one state is normally distributed with a mean of 1403 and a standard deviation of 200. Suppose we randomly pick 32 SAT scores from that state. a) Find the probability that one of the scores in the sample is greater than 1484. P(X > 1484) = b) Find the probability that the average of the scores for the sample of 48 scores is greater than 1484 P(X > 1484) = Round each answer to at least 4 decimal places.
Answers
The probability that one of the scores in the sample is less than 1484 is 0.2437 .
a)Given that mean u = 1403
standard deviation σ = 200
sample size n = 32
P(x>1484) = P(X-u/σ > 1484-1403/200)
= P (z > 0.405)
P(x>1484) = 0.2437 .
hence the probability that one score is greater than 1484 is 0.405 .
b) Now we have to find the average of the scores of 48 samples.
P(x>1484)
= P(x-μ/ σ/√n> 1484-1403 /200/√48)
= P(z>2.805.)
Now we will use the normal distribution table to calculate the p value to be 0.002516.
p-value = 0.0025
Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.
They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.
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Trigonometry please help!
Answers
Answer:
the first one
Step-by-step explanation:
What is the solution to the equation?
x^2=40
Will give brainliest if correct and explained!!
Answers
Answer: 2√10
Step-by-step explanation:
A way we can find what x equals, is to find the opposite of what ever sign is on a side, in the equation x^2=40, the opposite of squaring is to find the square root of it.
It is important that what you do to one side, you do to the other.
So we have to square root both sides so we can get rid of the ^2 on x to get x =. This would look like √x^2 = √40
The square root of x^2 would revert back to just x
To find the square root of 40, its important to first see if its a perfect square. In this scenario, it isnt. Because it isnt, we have to find the closest perfect square that we can multiply to get 40, in this equation, the closest would be 4 so we do 4*10.
Then we reduce the 4 by square root and we get 2
Then we cant do anything else with the 10, so we would right the answer as a radical, with the square root you got from the perfect square on the outside and the remainder on the inside of the square root, like x√r where x is the number obtained from square root and r is the remainder that we cant do anything else with.
After doing this, we get the answer 2√10, which can be said "two radical ten"
A mailing supply company produces yellow mailing envelopes. The envelopes come in
a variety of sizes, but the length is always 4 centimeters more than double the width.
Write an equation to find the dimensions of an envelope that has a perimeter of 26
centimeters.
Answers
Answer:
Step-by-step explanation:
L=2W+4
P=2(L+W), using L from above makes this
P=2(2W+4+W)
P=2(3W+4)
P=6W+8
6W=P-8
W=(P-8)/6, since we are told P=26
W=(26-8)/6
W=18/6
W=3 cm, and since L=2W+4
L=2(3)+4
L=6+4
L=10 cm
So the dimensions of the envelope with a perimeter of 26cm is 3cm by 10cm
Leona has a large bag of apples. There are 180 apples in the bag. She uses 14of the apples to make some juice. She uses 20% of the apples to make some pies. How many apples are left?
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Answer:
132.8 are left enjoy
Please helppp!! Worth 20 points. I’ll mark brainliest if someone actually helps >.
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Answer: $25
Step-by-step explanation: 25 times 3(because there are three people) =75 - 45(the amount they spent)=30 the amount they are left with all together.
it took me awhile to answer so sorry for the wait but i hope this helps.
I need help understanding what I did wrong in my answer. I’m not understanding the answer key answer. Instructions are to factor these trinomial
Answers
See the two pictures, explanation and solution ^_^
In order to check your answer is true or false. We check the two analyzes whether the number from the equation becomes 19x. First you multiply the first number in the first bracket by the second number in the second bracket 2x by 3 to get 6x. Secondly, you multiply the second number of the first bracket by the first number of the second bracket -5 by 4x to get -20x. The sum of the two numbers that you extracted from multiplying the numbers in parentheses (6x) + (-20x) equals - 14x, so this number is not the number 19x, so the first analysis error . Try it for the second analysis .
You can multiply the parentheses together and check the solution too.
\((2x - 5)(4x + 3) \\ (2x)(4x) + (2x)(3) + ( - 5)(4x) + ( - 5)(3) \\ = 8 {x}^{2} + 6x - 20x - 15 \\ = 8 {x}^{2} - 14x - 15\)
\((8x - 5)(x + 3) \\ (8x)(x) + (8x)(3) + ( - 5)(x) + ( - 5)(3) \\ = 8 {x}^{2} + 24x - 5x - 15 \\ = 8 {x}^{2} + 19x - 15\)
WILL GIVE YOU BRAIN IF YOU HELP WITH 8TH GRADE MATH PLEASEE
Answers
Answer:
answer the branliest
Step-by-step explanation:
Answer:
ayooooo
Step-by-step explanation:
that boy sus
get the pump
thats a must
i dont trust
oh cool
ok oh cool
in tokyo
im with
my ghouls
PLEASE HELP. I HAVE FIVE MINUTES TO ANSWER
If the length of a rectangle is 4x² - x +2, and the width of the rectangle
is 5x - 3, what is the perimeter of the rectangle expressed as a
polynomial?
8x^2-12x+10
8x^2+8x-2
8x^2-12x+10
8x^2-8x+2
Answers
Answer:
8x² + 8x - 2Step-by-step explanation:
We know that:
Perimeter of a rectangle = Sum of all its sidesLength of rectangle = 4x² - x + 2Width of rectangle = 5x - 3To find the perimeter, we need to use the equation "Perimeter of a rectangle = Sum of all its sides".
Solution:
Perimeter of a rectangle = Sum of all its sides=> 2[{4x² - x + 2} + {5x - 3}] = Perimeter=> 2[4x² - x + 2 + 5x - 3] = Perimeter=> 2[4x² + {-x + 5x} + {2 - 3}]=> 2[4x² + 4x - 1]=> 8x² + 8x - 2Hence, the perimeter of the rectangle is 8x² + 8x - 2.
A house plan Is drawn to a scale 1cm to 2m. What is the length of a window 2.5cm long on the plan?
Answers
1cm = 2m
=> 1cm = 200cm
2.5cm = 2.5 × 200cm = 500 cm = 5m
So, the length of window is 500cm or 5m.
What is x. 9(2x-3)=39
Answers
please check answer!
Answers
3.4.PS-19 Ques Use the expression 6.5u -(10 = 2) + 13 to answer 9–10. 9. Which part of the expression represents a quotient? Describe its parts. 10. Which part of the expression represents a product of two factors? Describe its parts. 9. The part of the expression that represents a quotient is (Use the operation symbols in the math palette as needed. Do not simplify.)
Answers
Answer
6.5u
Explanation:
Given the expression
6.5u -(10 = 2) + 13
The part of the expression that represents the product is 6.5u. This is the product of 6 and 5u. This represents a product because there is a dot product between 6 and 5u
-7 ≤ x+2 / 4
solve pleeeeeeeeeeeeeeaaaaaaaaaaaaaaseeeeeeeeeeeeeeeeeeee
Answers
Answer:
x ≥ 15/2 im pretty sure
Step-by-step explanation:
reduce the fraction: -7 ≤ x + 1/2. move the terms: -x ≤ 1/2 + 7 calculate the sum: -x ≤ 1/2 + 7 = -x ≤ 15/2 and change the signs: x ≥- 15/2.
10 • ( 8 - 4 )
———————
12
PLEASE HELP
Answers
Answer:
3.33
Step-by-step explanation:
10(4)/12
40/12
3.33 or 3 1/3
Martin thinks of two numbers. He says, "The Highest Common Factor (HCF) of my two numbers is 6 The Lowest Common Multiple (LCM) of my two numbers is a multiple of 15" Write down two possible numbers that Martin is thinking of.
Answers
Answer:
30 and 42
Hope this helps
someone help mathwatch
Answers
Answer:
The size of the angle is 66.4 degrees
Step-by-step explanation:
The solution is in the image
