The plane flew at 110 mph for 4.55 hours and at 125 mph for 0.45 hours.
The first step in solving this problem is to recognize that we can use the formula
=> speed = distance/time
to find the time it took for the plane to travel at each speed. Let's denote the time the plane traveled at the first speed (110 mph) as t1, and the time it traveled at the second speed (125 mph) as t2.
We know that the total distance traveled was 595 miles, and the total time taken was 5 hours. Using the formula for average speed, we can write:
Average speed = total distance / total time
Therefore,
Average speed = 595 / 5 = 119 mph
Now we can use the information about the two speeds to set up a system of equations. The first equation relates the total distance traveled at the first speed to the time it took:
110t₁ = d₁
where d1 is the distance traveled at the first speed. Similarly, the second equation relates the total distance traveled at the second speed to the time it took:
125t₂ = d₂
where d₂ is the distance traveled at the second speed.
The total time taken is the sum of the times taken at each speed:
t₁ + t₂ = 5
We now have three equations and three unknowns (t₁, t₂, and d₂). We can use the first two equations to eliminate d₁ and d₂, and then solve for t₁ and t₂.
Multiplying the first equation by 125/110, we get:
125/110 * 110t₁ = 125/110 * d₁
125t₁/110 = d₂
Substituting d₂ in the third equation, we get:
t₁ + 125t₁/110 = 5
Multiplying both sides by 110, we get:
121t₁ = 550
Solving for t₁, we get:
t₁ = 4.55 hours
Substituting t₁ in the third equation, we get:
t₂ = 0.45 hours
Therefore, the plane flew at 110 mph for 4.55 hours and at 125 mph for 0.45 hours.
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Complete Question:
A plane left Kennedy Airport tuesday morning for a 595−mileˏ 5−hour trip.
For the first part of the tripˏ the average speed was 110 mph.
For the remainder of the tripˏ the average speed was 125 mph. How long did the plane fly at each speed.
A fruit Juice blend is made by mixing the juice of oranges and apples in the ratio 7:5 If 168 litres of orange juice is used How much litres of Apple juice must be used ?
A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
If the ratio is 7: 5 (oranges to apples) we can use this equation to solve the problem:
168 × 0.714285714 = 120Why do we multiply by 0.714285714?We multiply by 0.714285714 because we can see that 7 is being multiplied by 0.714285714 to get 5.
Therefore, if the ratio stays proportional, you will need 120 litres of apple juice for every 168 litres of orange juice.
Pls show your work thank you will mark the Brainliest
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
According to given information ~
[tex]\qquad \sf \dashrightarrow \: g(x) = 11(1.2) {}^{x} [/tex]
if x = 1;
[tex]\qquad \sf \dashrightarrow \:g(1) = 11(1.2)[/tex]
[tex]\qquad \sf \dashrightarrow \:g(1) = 11(1 + 0.2)[/tex]
[tex]\qquad \sf \dashrightarrow \:g(1) = 11 + (0.2 \times 11)[/tex]
[tex]\qquad \sf \dashrightarrow \:g(1) = 11 + ( \frac{20}{100} \times 11)[/tex]
[tex]\qquad \sf \dashrightarrow \:g(1) = 11 + ( {20}\% \: \: of \: \: 11)[/tex]
So, there's an increase of 20% in insect population each month.
According to a recent study, 21% of peanut M&M's are brown, 13% are yellow, 3% are red, 24% are blue, 16%
are orange, and 24% are green. Assume these proportions are correct and suppose you randomly select four
peanut M&M's from an extra-large bag of the candies. Calculate the following probablities. Also calculate
the mean and standard deviation of the distribution. Round all solutions to four decimal places, if
necessary.
Compute the probability that at most two of the four M&M’s are yellow
P(x<=2)=
The probability that at most four of the M&M are yellow is 0.3357 and the probability that at least two of the four of the M & M are yellow is 0.6622
What is the probability that they're yellowThe probability that at most two of the four M&M's are yellow can be calculated using the cumulative distribution function (CDF) of the binomial distribution. The binomial distribution models the number of successes in a fixed number of independent Bernoulli trials, where each trial has the same probability of success. In this case, the number of trials is 4, and the probability of success (getting a yellow M&M) is 0.13.
The cumulative distribution function of the binomial distribution can be expressed as:
P(X <= k) = SUM[i=0 to k] (n choose i) * p^i * (1-p)^(n-i)
Where n is the number of trials, k is the value we want to find the probability for, p is the probability of success, and (n choose i) is the number of combinations of n items taken i at a time, which can be calculated as n! / (i! * (n-i)!).
For this problem, we want to find the sum of probabilities for X = 0, 1, and 2, so we have:
P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2)
= (4 C 0) * (0.13)^0 * (0.87)^4 + (4 C 1) * (0.13)^1 * (0.87)^3 + (4 C 2) * (0.13)^2 * (0.87)^2
= 0.3357
NB: "C" represent combination.
So the probability that at most two of the four M&M's are yellow is approximately 0.3357.
b. The probability that at least two of the four M&M's are yellow can be found by subtracting the probability of getting 0 or 1 yellow M&M's from 1. So:
P(X >= 2) = 1 - P(X <= 1)
= 1 - (P(X = 0) + P(X = 1))
= 1 - ((4 C 0) * (0.13)^0 * (0.87)^4 + (4 C1) * (0.13)^1 * (0.87)^3)
= 0.6622
So the probability that at least two of the four M&M's are yellow is approximately 0.6622.
The mean of the distribution is given by n * p = 4 * 0.13 = 0.52, and the standard deviation is given by sqrt(n * p * (1-p)) = sqrt(4 * 0.13 * 0.87) = 0.9304.
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What is (1/243) ^-x/3 = 4
Using the log, the answer to (1/243) ^-x/3 = 4 is [tex]-x=\log _{\frac{1}{243}}(12)[/tex].
What is a logarithm?The power to which a number must be increased in order to obtain another number is known as a logarithm.
For instance, the logarithm of 100 in base ten is 2, since ten multiplied by two equals 100: log 100 = 2, since 102 = 100.
So, solve using a log as follows: (1/243) ^-x/3 = 4
[tex]\begin{aligned}& \frac{\left(\frac{1}{243}\right)^{-x}}{3}=4 \\& 3 \cdot \frac{\left(\frac{1}{243}\right)^{-x}}{3}=3 \cdot 4\end{aligned}[/tex]
[tex]\begin{aligned}& 3 \cdot \frac{\left(\frac{1}{243}\right)^{-x}}{3}=3 \cdot 4 \\& \left(\frac{1}{243}\right)^{-x}=3 \cdot 4\end{aligned}[/tex]
[tex]\begin{aligned}& \left(\frac{1}{243}\right)^{-x}=3 \cdot 4 \\& \left(\frac{1}{243}\right)^{-x}=12\end{aligned}[/tex]
[tex]\begin{aligned}& \left(\frac{1}{243}\right)^{-x}=12 \\& -x=\log _{\frac{1}{243}}(12) \\& \frac{\left(\frac{1}{243}\right)^{-x}}{3}=4 \\& -x=\log _{\frac{1}{243}}(12)\end{aligned}[/tex]
Therefore, using the log, the answer to (1/243) ^-x/3 = 4 is [tex]-x=\log _{\frac{1}{243}}(12)[/tex].
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Multiply out the brackets and then simplify: 12(-10x+5y)
I nee help with this
Answer: MHT = 125; AHM = 55
Step-by-step explanation:
(2x + 11) + (6x - 7) = 180 since they are supplementary angles
8x + 4 = 180 ---- subtract 4 on both sides
8x = 176 ---- divide by 8 on both sides
x = 22
MHT = 6x - 7
6(22) - 7 = 132 - 7 = 125
AHM = 2x + 11
2(22) + 11 = 44 + 11 = 55
simplify (4x+5y)(2x-3y)+3xy
Answer: 8x^2 + xy - 15y^2
Step-by-step explanation:
first do the FOIL method than add 3xy to the equation after
Answer:
[tex]8x^2+xy-15y^2[/tex]
Step-by-step explanation:
[tex](4x+5y)(2x-3y)+3xy\\\\=(4x)(2x)+(4x)(-3y)+(5y)(2x)+(5y)(-3y)+3xy\\\\=8x^2-12xy+10xy-15y^2+3xy\\\\=8x^2+xy-15y^2[/tex]
ABCD is a kite with AB = BC and AD = DC = AC, the size of
The size of angle BCA is 45 degrees
What is Kite figure?A quadrilateral called a kite has two pairs of sides that are each the same length and are next to one another.
Where the two uneven sides meet, the two angles are equal. It can be thought of as two congruent triangles sharing a base. It has two diagonals that right-angle intersect with one another.
Given:
From the Figure we can see that
AB = BC and AD = DC = AC
and, ABC = 90 degrees
Now, In triangle ABC using Angle sum Property
A + B + C = 180
So, A + 90 + C = 180
A + C = 90
As, AB = BC
Then, 2C = 90
C = 45
Hence, the angle is 45 degrees
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The Question attached here seems to be incomplete/ inappropriate. The complete Question is:
ABCD is a kite with AB = BC and AD = DC = AC, What is the size of angle BCA
For an experiment, the temperature of a liquid must stay above 60°F . The starting temperature of the liquid is 90°F . It is placed in a cooler, which lowers its temperature 3°F each minute.
The liquid should be in the cooler less than 10 minutes. Therefore, option C is the correct answer.
What is temperature?A thermometer can be used to measure the degree of hotness or coolness that is present. It also expresses the rate of motion of a substance's atoms and molecules. The Fahrenheit, Celsius, and Kelvin thermometers measure temperature in degrees.
Given that, the temperature of a liquid must stay above 60° F.
The starting temperature of the liquid is 90° F.
Difference in temperature = 90-60
= 30
It is placed in a cooler, which lowers its temperature 3° F each minute.
= 30/3
= 10° F
Therefore, option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
For an experiment, the temperature of a liquid must stay above 60°F. The starting temperature of the liquid is 90°F . It is placed in a cooler, which lowers its temperature 3°F each minute. Let m represent the number of minutes the liquid is in the cooler. Which statement determines how many minutes the liquid can stay in the cooler?
A) The liquid must be in the cooler fewer than 10 minutes.
B) The liquid must be in the cooler fewer than 15 minutes.
C) The liquid must be in the cooler fewer than 30 minutes.
D) The liquid must be in the cooler fewer than 60 minutes.
90% of 40 is
О 24
О 20
О 35
О 36
the blood pressure in millimeters was measured for a large sample of people. the average pressure is 140 mm, and the sd of the measurements is 20 mm. the histogram looks reasonably like a normal curve. use the normal curve to estimate the following percentages.
The percentage of people with blood pressure between 115 and 165 mm is 68.27% (closest to option e). The percentage of people with blood pressure between 140 and 165 mm is 89.4% (closest to option b). The percentage of people with blood pressure over 165 mm is 10.6% (closest to option a).
To solve this problem, we can use the properties of the normal distribution, which is a continuous probability distribution that is often used to model real-world data. In particular, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentages of people with blood pressure within certain ranges. The empirical rule states that, for a normal distribution:
Approximately 68% of the data falls within one standard deviation of the mean. Approximately 95% of the data falls within two standard deviations of the mean. Approximately 99.7% of the data falls within three standard deviations of the mean. Using this rule, we can estimate the following percentages: The percentage of people with blood pressure between 115 and 165 mm: First, we need to find the z-scores for the lower and upper limits of the range: z_lower = (115 - 140) / 20 = -1.25.
z_upper = (165 - 140) / 20 = 1.25
We can then use a standard normal distribution table or a calculator to find the areas under the curve corresponding to these z-scores:
P(-1.25 < Z < 1.25) = 0.7887 - 0.1056 = 0.6831
So, approximately 68.31% of people have blood pressure between 115 and 165 mm.
The percentage of people with blood pressure between 140 and 165 mm: In this case, the lower limit is equal to the mean, so we only need to find the z-score for the upper limit: z_upper = (165 - 140) / 20 = 1.25
Using the same approach as before, we get:
P(Z < 1.25) = 0.8944
So, approximately 89.44% of people have blood pressure between 140 and 165 mm. The percentage of people with blood pressure over 165 mm:
In this case, we only need to find the area to the right of the upper limit:
P(Z > 1.25) = 0.1056
So, approximately 10.56% of people have blood pressure over 165 mm.
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Complete Question
The blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the SD of the measurements is 20 mm. The histogram looks reasonably like a normal curve. Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct.
a. 10.6%
b. 89.4%
c. 39.4%
d. 78.8%
e. 68.27%
___ The percentage of people with blood pressure between 115 and 165 mm.
___ The percentage of people with blood pressure between 140 and 165 mm.
___ The percentage of people with blood pressure over 165 mm.
The planet Neptune orbits the Sun. Its orbital radius is 30.1 (AU)
Assuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun?
Give your answer in terms of π
Lina is older than her cousin Sarika. This year the sun or their ages is 31, and the difference between their ages is 5. Which system of equations correctly represents the situations where L represents Linas age and S represents sarikas age
The system of equations that correctly represents the situation of Lina and Sarika's ages are:
L + S = 31L - S = 5.What is a system of equations?A system of equations is two or more equations solved concurrently or at the same time.
A system of equations is called simultaneous equations.
The sum of Lina and Sarika's ages = 31
Lina's age > Sarika's by 5 years
Let Lina's age = L
Let Sarika's age = S
L + S = 31... Equation 1
L - S = 5... Equation 2
2L = 36
L = 18.
Substituting L = 18 into either Equation 1 or 2:
18 + S = 31
S = 31 - 18
S = 13
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Sophie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $127 for parts. The total was $227. Write and solve an equation which can be used to determine
x, the cost of the labor per hour.
Answer:
Step-by-step explanation:
(227-127)/4=x
"/" means divide.
sita had 4^x . she want to buy a copy at (3*2^x+3) .she needed rs 128 more than how muc she had at the beggning
In the beginning, Sita had Rs. 64 to start with.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
From the given information the equation can be formed as,
4ˣ + 128 = 3.2⁽ˣ⁺³⁾.
2²ˣ + 2⁷ = 3.2⁽ˣ⁺³⁾.
Putting some arbitrary values of 'x' we gey at x = 3,
64 + 128 = 3.64.
So, In the beginning, she had 4³ rs which is 64 rs.
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Find the value of x. Round to the
nearest tenth.
X
12
x= [?]
Enter
Answer: 2x + 12
Step-by-step explanation:
Find the value of X:
A. 24
B. 48
C. 40
D. 960
Answer:
B
Step-by-step explanation:
given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides those sides proportionally , that is
[tex]\frac{32}{x}[/tex] = [tex]\frac{20}{30}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2x = 3 × 32 = 96 ( divide both sides by 2 )
x = 48
6. A group of students decide to chip in $2.50
each to buy a gift for their teachers. If
5 more students join the group, they each
would have to pay $0.50 less. How much do
they plan to spend on the gift?
Let's call the original number of students in the group "n". Each student contributed $2.50, so the total amount the original group of students collected is $2.50 * n.
When 5 more students join the group, the new total number of students is n + 5, and each student contributes $2.50 - $0.50 = $2.00. So the total amount the new group collects is $2.00 * (n + 5) = $2.00n + $10.
Since the total amount collected remains the same, we can set the two expressions for the total amount equal to each other:
$2.50n = $2.00n + $10
Solving for n, we have:
$0.50n = $10
n = 20
So, there were originally 20 students in the group. To find out how much they plan to spend on the gift, we can multiply the original number of students by the original contribution amount:
$2.50 * 20 = $50.00
Therefore, the students plan to spend $50.00 on the gift.
the number of students enrolled at a college is 15 000 and grows 3% each tear. what will be the estimated population of the school in 6 yeears
The expected student population of the school will be N(t) = 15000*(1+3%)6=17910.78.
The term "population" refers to all citizens who are either permanently residing in a country or who are just passing through. Growth rates are the population changes that occur each year as a result of births, deaths, and net migration. The world population clock maintained by the US Census Bureau indicated that there were 7,922,312,800 people on the planet as of September 2022, and that number would rise to 8 billion by mid-November. China and India will have the two largest populations in the world in 2022, followed by the United States, the European Union, Indonesia, and Pakistan.
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in a sequence the first term is 4 and the common difference is 3
Answer:a=3, d=common difference=3, a2=7, a3=9
Step-by-step explanation:
firstly we have given a,d (using the arithmetic progression formula)
( an=a+(n-1) )
so we have made a sequence a2=a+d=7
a3=a+2d=9
Given the expression: 10x2 + 25x − 15
Part A: What is the greatest common factor? Explain how to find it. (3 points)
Part B: Factor the expression completely. Show all necessary steps. (5 points)
Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)
Part A: The greatest common factor of [tex]10x2 + 25x − 15[/tex] is 5.
Part B:[tex]10x2 + 25x − 15[/tex] can be factored as [tex]5(2x2 + 5x − 3)[/tex].
Part C: The factoring from Part B is correct, as multiplying the two binomials in the parentheses yields [tex]2x2 + 5x − 3[/tex].
Part A: The greatest common factor of [tex]10x2 + 25x − 15[/tex] is 5. The greatest common factor (GCF) of a set of numbers is the largest number that is a factor of all numbers in the set. To find the GCF, first list all the factors of each number. The common factors among the numbers are the ones that are found in each list of factors. The largest number in the list of common factors is the GCF.
Part B:[tex]10x2 + 25x − 15[/tex] can be factored as [tex]5(2x2 + 5x − 3)[/tex]. To factor this expression, first identify the GCF, which is 5. Then divide the expression by 5 and factor the result. Since the result is a binomial, use the difference of squares formula, (x + a)(x − a). The resulting expression is then[tex]5(2x2 + 5x − 3[/tex]).
Part C: To check the factoring from Part B, multiply the two binomials in the parentheses. The result is [tex]2x2 + 5x − 3[/tex], which is the same as the original expression. To multiply, use the FOIL method. Multiply the First terms [tex](2x2 and 2x2)[/tex], the Outer terms[tex](2x2 and -3)[/tex], the Inner terms (5x and 2x), and the Last terms [tex](5x and -3)[/tex]. The resulting expression is [tex]2x2 + 5x − 3.[/tex]
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the weights of medium oranges packaged by an orchard are normally distributed with a mean of 14 oz and a standard deviation of 2 oz. 1 orange is randomly selected. what is the probability that this orange weighs more than 17 oz?
The probability that an orange weighs more than 17 oz is 0.1587.
The probability that an orange weighs more than 17 oz is 0.1587. This value can be calculated using the Z-score formula, which is used to calculate the probability of an event occurring. The formula is as follows:
Z = (x - μ) / σ
where x is the data point, μ is the mean, and σ is the standard deviation.
In this case, the Z-score is (17 - 14) / 2 or 1.5. We can find the probability using the Z-score table, which gives us 0.1587, the probability that an orange weighs more than 17 oz.
The Z-score formula is useful for determining the probability of an event occurring when the data follows a normal distribution. Knowing the mean and standard deviation, we can calculate the likelihood of a certain outcome occurring. In this case, the probability that an orange weighs more than 17 oz is 0.1587.
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2. Find x in the triangle below
We can see that the triangle is equilateral, thus, the value of x is 13.
How to find the value of x in the triangle?We can see that it is a right triangle, and we know the value of one of the catheti and one of the angles.
Remember that the sum of the interior angles must be equal to 180°.
So if we have a right angle and a 45° angle, then the measure of the remaining angle is:
a = 180° - 90° - 45° = 45°
So we have an equilateral triangle, thus, the measure of x must be 13 units.
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Answer: 13
Step-by-step explanation: Just took the test
What is the probability of choosing a green in 4 red marbles, 10 blue marbles, 7 green marbles, 6 yellow marbles
What is the probability of me choosing a green???
Melody had 120 stamps more than Jeremy. After Melody gave 30 stamps to Jeremy, she had twice as much as him. How many stamps do they have altogether?
melody had 120 stamps.
and she gave Jeremy 30 stamps .
so she had 90 stamps now.
after she gave Jeremy 30 stamps,she had twice as much as him.
so 90 is 45+45 .other way 45 is half of 90.
so Jeremy had 45 stamps now.
they have altogether 90+45=135 stamps.
the answer is 135
By creating and solving an algebraic equation, we learn that Jeremy started with 60 stamps and Melody started with 180 stamps. Therefore, they originally had 240 stamps combined.
Explanation:We'll use algebra to solve this. Let's let Jeremy's number of stamps be represented by J. According to the information, Melody had 120 more stamps than Jeremy before she gave him 30, so she had J + 120 stamps. After transferring the 30 stamps, she has J + 120 - 30 stamps, which simplifies to J + 90 stamps. According to the problem, this amount is twice the amount Jeremy has after receiving the 30 stamps (J + 30). So, we can set up this equation: 2(J + 30) = J + 90.
Solving this equation gives J = 60. That means Jeremy started with 60 stamps. Therefore, Melody started with 60 + 120 = 180 stamps. The total number of stamps both had originally is 60 + 180 = 240 stamps.
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1000m divide by 100n written in form of 10z
The expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.
What is an expression?
In mathematics, an expression is a combination of one or more numbers, variables, and operations such as addition, subtraction, multiplication, division, exponentiation, and so on.
We can simplify the expression 1000m ÷ 100n as follows:
1000m ÷ 100n = (1000 ÷ 100) × (m ÷ n)
= 10 × (m ÷ n)
= 10m/n
To write this in the form of 10z, we need to find a value of z that makes 10z equal to 10m/n. Since 10z is equal to 10 times z, we can set 10 times z equal to 10m/n and solve for z as follows:
10z = 10m/n
Dividing both sides by 10, we get:
z = m/10n
Therefore, the expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.
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two dice are rolled in a random experiment. (a) what is the probability that at most one is a six? (1 point) (b) if the two faces are different, what is the probability that at most one is a six?
a) The probability that at most one is a six is 5/6.
b) The probability that at most one is a six is 2/3.
In the question two dice are rolled in a random experiment and we have to find what is the probability that at most one is a six and if the two faces are different, what is the probability that at most one is a six.
a) The probability that at most one is a six is 5/6. There are only 6 possible outcomes when rolling two dice, and 5 of those outcomes involve at most one six: (1,2), (1,3), (1,4), (1,5), (2,5).
b) The probability that at most one is a six is 2/3. If the two faces are different, there are only 3 possible outcomes: (1,2), (2,3), (3,4). 2 of those outcomes involve at most one six: (1,2), (2,3). Thus, the probability is 2/3.
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what is the missing
equivalent ratio of 4 : 2 = 10: _
Answer:
4 : 2 = 10 : 5.
Step-by-step explanation:
Let's put this in a fraction way. 4/2 = 2, and 10/5 = 2. Likewise, we can keep going and putting things that equal to 2. (e.g. 42 : 21)
Eric owes his brother $17. He recently got some money for his birthday and plans to use some of it to pay his brother back. Use the variable to represent the amount of money Eric got for his birthday, and use this variable to write an expression for the amount of money Eric will have left after he pays his brother back. Choose the expression for the amount of money Eric has after he pays his brother back.
A. 17-x
B. x-17
C. 17x
D. x+17
The expression for the amount of money Eric has after he pays his brother back is x- 17.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given:
Eric owes his brother $17.
let x be the amount of money Eric got for his birthday.
If Eric gave the money back to his brother then he left with
= x - 17
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Electric utility poles in the form of right cylinders are made out of wood that costs $25.81 per cubic foot. Calculate the cost of a utility pole with a radius of 0.5 ft and a height of 25 ft. Round your answer to the nearest cent.
The volume of a cylinder can be calculated as π * radius^2 * height. In this case, the radius is 0.5 ft and the height is 25 ft, so the volume is:
π * 0.5^2 * 25 = 19.63 cubic feet
So the cost of the utility pole would be 19.63 * $25.81 = $509.24
Rounding to the nearest cent, the cost of the utility pole would be $509.24, which can be rounded to $509.00.
