The ground temperature at an airport is 13 °C. The temperature decreases by 7 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
The temperature outside a plane flying at an altitude of 5 kilometers is ____ c*?
Answers
Related Questions
Choose the system of equations which matches the following graph.
A. 3x-6y=12
9x-18y=36
B. 3x+6y=12
9x+18y=36
Answers
The system of equations that matches the given graph is:
A. 3x - 6y = 12
9x - 18y = 36
To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.
Looking at the options provided:
A. 3x - 6y = 12
9x - 18y = 36
B. 3x + 6y = 12
9x + 18y = 36
Let's analyze the equations in each option:
For option A:
The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.
The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.
In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.
For option B:
The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.
The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.
In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.
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what is the best approximation for the perimeter of the pentagon abcde
Answers
The perimeter of the pentagon ABCDE is given by:
\(P=AB+BC+CD+DE+EA\)From the figure, we can calculate the length of each side:
\(\begin{gathered} AB=\sqrt{4^2+1^2}=\sqrt{17} \\ \\ BC=\sqrt{1^2+3^2}=\sqrt{10} \\ \\ CD=\sqrt{6^2+3^2}=3\sqrt{5} \\ \\ DE=\sqrt{1^2+3^2}=\sqrt{10} \\ \\ EA=\sqrt{2^2+4^2}=2\sqrt{5} \end{gathered}\)Finally, the perimeter is:
\(\begin{gathered} P=\sqrt{17}+\sqrt{10}+3\sqrt{5}+\sqrt{10}+2\sqrt{5}=\sqrt{17}+2\sqrt{10}+5\sqrt{5} \\ \\ \therefore P\approx21.628 \end{gathered}\)Answer: Out of the options on the online quiz the answer is 22 units
Step-by-step explanation: I got it right on the test
Jen has a newer car than Amelie, and it has One-third the miles of Amelie’s car. Amelie’s car has 45,000 miles. Which of the following equations model this situation? Select all that apply.
3(m) = 45,000
1/3 + m = 45,000
m = (1/3) (45,000)
m = 3(45,000)
m = 1/3 = 45,000
Answers
Answer:
Its 1rst and 3rd
Step-by-step explanation:
I took the assignment. Its correct.
Answer:
1 and 3
Step-by-step explanation:
on edge just got it right :)
If ST =
2v 59, RU= -v + 83, and PQ = v, what is the value of v?
Answers
Answer:
El valor de la variable b se corresponde con:
a) b = 0,25
b) b = 9
c) b = 125
the number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of chips and standard deviation chips more than 1225 chocolate chips is ____ (Round answer four decimal places as needed).
d. A bag that contains 1000 chocolate chips is in the ____ percentile (Round answer to the nearest integer as needed).
Answers
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies follows an approximately normal distribution with a mean and standard deviation that are not specified in the given information. We don't have the necessary information to calculate the percentile in this case.
However, we can still calculate the answer using the provided information. To find the number of chocolate chips more than 1225, we need to determine the z-score and find the corresponding area under the normal curve. The z-score formula is given by z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. In this case, we don't know the mean and standard deviation, so we cannot calculate the exact z-score. However, we can still provide an explanation of the process. To find the z-score, we would subtract the mean from 1225 (the value we want to find the probability for) and divide the result by the standard deviation. Once we have the z-score, we can use a standard normal distribution table or a calculator to find the corresponding area. The area represents the probability of a random variable being less than or equal to the given value. Since we want the probability of having more than 1225 chocolate chips, we would subtract the obtained probability from 1. Regarding the second question, without knowing the mean and standard deviation, it is not possible to determine the exact percentile for a bag that contains 1000 chocolate chips. Percentiles represent the proportion of data points that fall below a certain value.
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4.602 in words how can i get it in words I need help pls help me
Answers
Four thousand six hundred two
Step by step explanation:*
Which is more likely, to roll an even number or a number less than 5 on a 6-sided die?
Answers
Answer: A number less than 5
Step-by-step explanation:
The number of even numbers on a 6 sided die is 3 ( 2,4,and 6)
however there are 4 numbers less than 5 (1,2,3,4)
3/6 = 0.5 = 50%
4/6 = approximately 0.67 =0.67%
Since the probability of rolling a number less then 5 is higher then an even number. You are more likely to roll a number smaller then 5
Hope this helps!
The figures are similar. find x.
Answers
5. Greg used a sensor to measure the speed of a moving car at different
times. At each time, the sensor measured the speed of the car in both
miles per hour and kilometers per hour. The table below shows her results.
Based on the results, which statement describes the relationship between
the m, speed of the car in miles per hour, and k, the speed of the car in
kilometers per hour?
The relationship is not proportional because the distance of m to k is constant.
The relationship is proportional because the difference of m to k is constant.
The relationship is proportional because the ratio of m to k is constant.
The relationship is not proportional because the ratio of m to k is constant.
This is the table
Answers
The correct option regarding whether the table represents a proportional relationship is:
The relationship is proportional because the ratio of m to k is constant.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the ratio of m to km is given as follows:
k = 11/17.699 = 26/41.834 = 34/54.706 = 0.6215.
Since the values are equal, the correct option is:
The relationship is proportional because the ratio of m to k is constant.
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The students in Sam’s school voted for their favorite subject. Sam displayed the results in the cirlce graph shown.
Which statements are true about the data in the graph? Check all that apply.
A circle graph titled Favorite Subject. Math is 24 percent, language arts is 20 percent, science is 18 percent, social studies is 16 percent, art is 14 percent, and other is 8 percent.
a. If 100 students were surveyed, 34 would choose math as their favorite subject.
b. If 200 students were surveyed, 28 would choose art as their favorite subject.
c. If 400 students were surveyed, 64 would chose social studies as their favorite subject.
d. If 100 students were surveyed, 38 would choose science as their favorite subject.
e. If 200 students were surveyed, more than half would choose science or social studies as their favorite subject.
Answers
The statements that are true about the data in the graph include the following:
B. If 200 students were surveyed, 28 would choose art as their favorite subject.
C. If 400 students were surveyed, 64 would chose social studies as their favorite subject.
What is a pie chart?In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.
Assuming 200 students were surveyed at 14%, the number of students who would choose art as their favorite subject can be calculated as follows;
Number of students for arts = 14/100 × 200
Number of students for arts = 0.14 × 200
Number of students for arts = 28 students.
Assuming 400 students were surveyed at 16%, the number of students who would choose social studies as their favorite subject can be calculated as follows;
Number of students for social studies = 16/100 × 400
Number of students for social studies = 0.16 × 400
Number of students for social studies = 64 students.
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Round the number to 3
significant figures.
0.2590100
Answers
Answer:
0.259
Step-by-step explanation:
There are some rules in determining what numbers are significant figures.
All non-zero numbers are significant.Zeroes between two non-zero numbers are significant.Zeroes at the front of a number are not significant.Trailing zeroes are only significant if there is a decimal point.We can determine how many significant figures the number currently has.
The first zero is not significant.2, 5, 9, and 1 are significant because they are non-zero numbers.The zero between 9 and 1 is significant because it is a captive zero.The zeroes at the end of the number are significant because they are trailing zeroes.There are currently seven significant figures. In order to round the number to three significant figures, we must round it to the thousandths place, or the 9.
The rounding rules are:
If the digit in the place after the number we are rounding is less than 5, you round down (or in other words, keep the number the same; Ex: 74 becomes 70)If that digit is greater than 5, you round up (Ex: 78 becomes 80)Since 0 is less than 5, the number rounded to 3 significant figures is 0.259.
x + 3 + -3 = -6 please help me on this
Answers
Answer:-6
Step-by-step explanation:
X=-6
3 and -3 cancel out.
Answer:
-6
Step-by-step explanation:
The positives and negatives added cancel eachother out.
-6+3=-3
-3+-3=-6
The diameter of a circle is 5 in. Find its area to the nearest hundredth.
Answers
Answer:
19.63 in²
Step-by-step explanation:
Given:
\(\text{Diameter of circle: 5 inches}\)
Determine the radius of the circle:
The relationship between the diameter and the radius of the circle is that the diameter is two times larger than the radius. Thus, the diameter needs to be divided by two to obtain the radius of the circle.
⇒ Diameter/2 = Radius⇒ 5 inches/2 = Radius⇒ 2.5 inches = RadiusDetermining the area of the circle:
The area of the circle is πr². Let's substitute the measure of the radius to determine the area of the circle.
⇒ πr² = Area of circle⇒ π(2.5)² = Area of circleSimplify the square of 2.5:
⇒ π(2.5)(2.5) = Area of circle⇒ 6.25π = Area of circleReplace π with 3.14 (Approx.):
⇒ 6.25(3.14) = Area of circle⇒ 19.625 in² = Area of circleFurthermore, the question said to round to nearest hundredth...
⇒ 19.63 in² = Area of circle
Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
Answers
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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Please help NEEDED ASAP!!!!
taxi cab tariffs in London, England, are as follows.
For the first 234.8 metres or 50.4 seconds (whichever is reached first)
there is a minimum charge of 2.60 GBP.
For each additional 117.4 metres or 25.2 seconds (whichever is reached first), if the distance travelled is less than 9656.1 metres there is a charge of 0.20 GBP.
Once the distance has reached 9656.1 metres then there is a charge of 0.20 GBP for each additional 86.9 metres or 18.7 seconds (whichever is reached first)
1. Develop a piecewise linear model for the cost, C, of a taxi ride based on the distance travelled, m, in metres.
2. Find the cost of 0.2 km, 5 km, and 15 km rides.
3. Develop a piecewise linear model for the cost, D, of a taxi ride based on the time taken, t, in seconds, ignoring distance.
4. Find the cost of 0.5 minute, 5 minute, and 15 minute rides.
5. Given that the actual taxi fare is always the greater of the two models, find:
(i) the cost of a ride that takes 10 minutes to go 4 km (if) the cost of a ride that takes 5 minutes to go 4 km
Answers
Answer:
1. A piecewise linear model for the cost, C, of a taxi ride based on the distance travelled, m, in meters can be represented as:
C = 2.60 (m<234.8)
C = 2.60 + 0.20(m-234.8) (234.8<=m<9656.1)
C = 2.60 + 0.20(9656.1-234.8) + 0.20(m-9656.1) (m>=9656.1)
2.To find the cost of 0.2 km, 5 km, and 15 km rides:
0.2 km = 200 m, the cost would be 2.60 GBP
5 km = 5000 m, the cost would be 2.60 + (0.20 * (5000-234.8)) GBP = 2.60 + 858 GBP = 1118 GBP
15 km = 15,000 m, the cost would be 2.60 + (0.20 * (9656.1-234.8)) + 0.20(15,000-9656.1) GBP = 2.60 + (0.20 * 9656.1-234.8) + 0.20(15,000-9656.1) = 2.60 + 1712.2 + 2040 = 3964.8 GBP
3. A piecewise linear model for the cost, D, of a taxi ride based on the time taken, t, in seconds, ignoring distance can be represented as:
D = 2.60 (t<50.4)
D = 2.60 + 0.20(t-50.4) (50.4<=t<1260)
D = 2.60 + 0.20(1260-50.4) + 0.20(t-1260) (t>=1260)
4. To find the cost of 0.5 minute, 5 minute, and 15 minute rides:
0.5 minute = 30 seconds, the cost would be 2.60 GBP
5 minutes = 300 seconds, the cost would be 2.60 + (0.20 * (300-50.4)) GBP = 2.60 + 44 GBP = 2.60+44 = 3.04 GBP
15 minutes = 900 seconds, the cost would be 2.60 + (0.20 * (1260-50.4)) + 0.20(900-1260) GBP = 2.60 + (0.20 * 1260-50.4) + 0.20(900-1260) = 2.60 + 252 + -12 GBP = 2.48 GBP
5. Given that the actual taxi fare is always the greater of the two models, find:
(i) the cost of a ride that takes 10 minutes to go 4 km is 1118 GBP (by distance model)
(ii) the cost of a ride that takes 5 minutes to go 4 km is 3.04 GBP (by time model)
It is important to
Please help me with this question
Answers
The number of combinations to define a 4-member committee will be 70.
What are the permutation and combination?Let 'x' be the number of things chosen out of 'n' number of things. Then the combination is given as,
ⁿCₓ = n! / [(n - x)! · x!]
And the permutation is written as,
ⁿPₓ = n! / [(n - x)!]
The committee of 4 people is chosen out of 8 people. Then the number of combinations is given as,
⁸C₄ = 8! / [(8 - 4)! · 4!]
⁸C₄ = (8 × 7 × 6 × 5 × 4!) / (4 × 3 × 2 × 1 × 4!)
⁸C₄ = (8 × 7 × 6 × 5) / (4 × 3 × 2 × 1)
⁸C₄ = 1680 / 24
⁸C₄ = 70
The number of combinations to define a 4-member committee will be 70.
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A pipe takes 6 minutes to fill 3.4 of a water tank how long would it take to fill the entire tank?
Answers
x = 20.4 it take to fill the entire tank.
How to calculate how long would it take to fill the entire tank?Calculate a tank's total capacity and the volume that is filled in gallons and litres for tanks like water and oil storage. assumes the tank's interior measurements.
You can enter metric dimensions in metres (m) or centimetres, or U.S. dimensions in feet (ft) or inches (in) (cm). Results are given in fluid US gallons, fluid Imperial (UK) gallons, fluid cubic feet (ft3), fluid metric litres (fl), and fluid cubic metres (m3).
x = total volume of the entire tank.
We can suggest the following equation:
6 minutes
6 minutes to fill 3.4
x=6*3.4=20.4
x=20.4
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Using the distributive property, which expression is equivalent to 6(g + 3)?
Answers
Step-by-step explanation:
Property: \(a(b+c)=ab+ac\)
Use the Distributive Property:
\(6(g+3) =6(g)+6(3)=6g+18\)
6g + 18 is an equivalent expression when the distributive property is used.
Please help me solve this ASAP
Answers
What is the value of X?
Answers
Answer:
It is 23
Step-by-step explanation:
BC= FE
(x-4)=19
Therefore x= 23
On a hike, Grant takes 12 steps for every 15 steps that Nancy takes.
Determine how many steps Nancy takes when Grant takes 60 steps.
Answers
Nancy takes 75 steps when Grant takes 60 steps. Given that on a hike, Grant takes 12 steps for every 15 steps that Nancy takes.
To determine how many steps Nancy takes when Grant takes 60 steps.
Let's find how many steps Grant takes for every one step Nancy takes.(12 steps of Grant) ÷ (15 steps of Nancy) = 12/15 = 4/5
Let's find how many steps Nancy takes for every one step Grant takes.(15 steps of Nancy) ÷ (12 steps of Grant) = 15/12 = 5/4
Then, to determine how many steps Nancy takes when Grant takes 60 steps.
We can use the proportion: 60 steps of Grant × (5/4) = x steps of Nancyx = (60 × 5)/4x = 75. Hence, Nancy takes 75 steps when Grant takes 60 steps.
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dante's commedia is divided into three books, each containing thirty-three
Answers
Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos.
The Commedia is a famous literary work by Dante Alighieri, an Italian poet from the 14th century. It is divided into three books: Inferno, Purgatorio, and Paradiso. Each book consists of 33 cantos, making a total of 100 cantos in the entire work.
Inferno is the first book and depicts Dante's journey through Hell. It starts with Dante being guided by the Roman poet Virgil and encountering various sinners and punishments in the different circles of Hell.
Purgatorio is the second book and portrays Dante's ascent up Mount Purgatory, where souls undergo purification to reach Heaven. In this book, Dante is guided by Virgil and later by Beatrice, his beloved.
Paradiso is the final book and represents Dante's ascent to Heaven. In Paradiso, Dante is guided by Beatrice and encounters various heavenly spheres, learning about theology, cosmology, and the nature of God's love.
Each book explores different themes, symbolism, and allegorical representations. Dante's Commedia is renowned for its vivid imagery, complex allegories, and its profound exploration of moral, spiritual, and philosophical themes.
In conclusion, Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos. It is a monumental work of Italian literature that delves into the realms of Hell, Purgatory, and Heaven, offering a rich exploration of various themes and ideas.
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find the lemgth of arc PQ
Answers
The arc length is D) 3.14 meters.
What is arc length?
In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.
It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.
The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.
\(A_L=\frac{\theta}{360\textdegree}2\pi r\)
Here the give circle Radius PR = 3m and θ=60°.
Now using arc length formula then,
=> Arc length \(A_L=\frac{\theta}{360\textdegree}2\pi r\)
=> \(A_L=\frac{60}{360} \times2\times3.14\times3\)
=> \(A_L=\frac{1}{6}\times2\times3.14\times3\)
=> \(A_L\) = 3.14 m.
Hence the arc length is D) 3.14 meters.
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Two accounting professors decided to compare the variance of their grading procedures. To accomplish this, they each graded the same 10 exams, with the following results: Mean Grade Standard Deviation Professor 1 79.3 22.4 Professor 2 82.1 12.0 At the 2% level of significance, what is the decision
Answers
Based on the given data, the professors' grading procedures have different variances. To determine if the difference is statistically significant at the 2% level of significance, we can use a two-sample F-test. The F-statistic is calculated by dividing the larger variance by the smaller variance. In this case, the F-statistic is 2.97. Using a critical value of 5.05, we can reject the null hypothesis that the variances are equal. Thus, the decision is that there is a statistically significant difference in the variance of the professors' grading procedures.
In statistics, variance is a measure of the spread of a distribution. When comparing two variances, we can use a two-sample F-test to determine if they are statistically different. The F-statistic is calculated by dividing the larger variance by the smaller variance. If the calculated F-value is greater than the critical value, we reject the null hypothesis that the variances are equal.
In this case, the professors' grading procedures have different variances, with Professor 1 having a larger variance than Professor 2. Using a two-sample F-test, we determined that the difference in variances is statistically significant at the 2% level of significance. This means that there is strong evidence to suggest that the professors' grading procedures differ in their spread of grades.
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Can you please help me out with a question
Answers
Answer:
15degrees
Explanation:
Using the theorem;
Angle in the same segment of the circle are equal hence;
mGiven that mSubstitute
3x = 45
Divide both sides by 3
3x/3 = 45/3
x = 15
Hence the value of x is 15degrees
I had 400 muffins and I got left with 62 and I sold them for 0.75 hiw much money did I make
Answers
Answer:
$253 and 5¢
Step-by-step explanation:
400-62=338
sold 338
338•0.75= 253.5
so $253 and 5¢
Answer:$253.00
Step-by-step explanation:
10
y
9
Which characteristics tell you that this graph shows a
proportional relationship? Check all that apply.
O Three points are on the graph.
A straight line can be drawn through the points.
8
7
6
The ordered pairs all have the same x- and y-
values.
5
4
The line connecting the points passes through the
origin.
3
2
.
1
2.
3
4
5
6
7
8
9
10
Answers
Answer:
The characteristics of a proportional relationship are: 1) It is a straight line; 2) the line goes through the origin of (0,0); and 3) the unit rate is (1,r). It most have all three.
Step-by-step explanation:
-3c-3y=-9 5c-2y=-27 please help asap
Answers
The solution of the equation is (-3, 6).
How to solve system of equation?-3c - 3y = -9
5c - 2y = -27
Therefore, using elimination method, the equation can be solved as follows:
multiply equation(ii) by 1.5(3 /2)
-3c - 3y = -9
7.5c - 3y = - 40.5
subtract equation(i) from equation(ii)
10.5c = - 31.5
divide both sides by 10.5
c = -31.5 / 10.5
c = -3
Therefore,
5c - 2y = -27
5(-3) - 2y = -27
-15 - 2y = -27
-2y = -27 + 15
-2y = - 12
divide both sides by -2
y = -12 / -2
y = 6
Therefore, the solution of the equation is (-3, 6).
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8) Shawna had $20 to spend on six pencils. After buying them she had
$2. How much did each pencil cost?
Answers
It cost 2 dollers each.
Choose the correct scientific notation.1,345,080,000
Answers
The scientific notation form of the given number 1,345,080,000 is 1.34508 × 10⁹.
What is the scientific notation form?Given the number in the question;
1,345,080,000
To convert to scientific notation;
First, move the decimal so there is one non-zero digit to the left of the decimal point.
Now, the number of decimal places you move will be the exponent on the 10
Note that; if the decimal is being moved to the right, the exponent will be negative, also, If the decimal is being moved to the left, the exponent will be positive.
1.345080000
We moved 9 decimal places to the left
1.34508 × 10⁹
Therefore the scientific notation form of the given number 1,345,080,000 is 1.34508 × 10⁹.
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