Answer: An increase of 1 km in altitude corresponds to a decrease of 6.5°C in temperature.
Step-by-step explanation: In a linear model of this situation, the y-intercept represents the temperature at the base of the troposphere, 15°C.
The rate of change, or slope, can be determined using two values: temperature at the base, (0 , 15), and temperature at the top, (11 , −56.5).
The linear model of this situation is y = 15 − 6.5x, where x represents the height of the troposphere, in kilometers.
The rate of change, or slope, indicates that an increase of 1 km in altitude corresponds to a decrease of 6.5°C in temperature. Hope this helps
Final answer:
In the troposphere, an increase of 1 km in altitude corresponds to a temperature decrease of 6.5°C, based on the given data of 15°C at sea level and -56.5°C at the top of the troposphere (11 km).
Explanation:
The question concerns the change of air temperature with altitude in the troposphere. From the information provided, we know that the temperature at the base of the troposphere (0 km) is 15°C and at the average top (11 km), it's -56.5°C. To find the rate at which temperature decreases with altitude, we can use the given temperatures at two different altitudes to calculate the lapse rate.
The difference in temperature from the base to the top is 15°C - (-56.5°C) = 71.5°C. Over a distance of 11 km, this gives us a lapse rate of 71.5°C / 11 km = 6.5°C/km. Therefore, an increase of 1 km in altitude corresponds to a decrease of 6.5°C in temperature.
A banana bread recipe calls for 3/4 cup butter. One tablespoon equals 1/16 cup. How many tablespoons of butter are needed to make the banan bread?
Answer:
There are needed 12 tablespoons of butter to make the banana bread.Step-by-step explanation:
The recipe calls for 3/4 cups of butter.One tablespoon equals 1/16 cup.To solve this problem, we just need to use the rule of three. If one tablespoon equals 1/16 cups, how many tablespoons would be 3/4 cups:
[tex]x=\frac{3}{4} \ cups \ \frac{1 \ tablespoon}{\frac{1}{16} \ cups } \\x=\frac{3}{4} \times \frac{16}{1} \ tablespoon\\ x= 12 \ tablespoon[/tex]
Therefore, there are needed 12 tablespoons of butter to make the banana bread.
A customer at a raceway can drive around the track 54 times for $12. At this rate, how many times can the customer drive around the track for $8?
A park planner is designing a rectangular butterfly garden. The plan is for the garden to have an area of 1,917 square feet wide, how long is it?
If the sphere shown above has a radius of 6 units, then what is the approximate volume of the sphere? A. 1,130.4 cubic units B. 452.16 cubic units C. 904.32 cubic units D. 1,071.79 cubic units
Answer:
yo answer is 288
Step-by-step explanation:
what is £1.95 x 6
thank you
find two numbers that you can multiply to get to get a product of 0.4
The possible values of 'a' and 'b' are (0.2,2), (0.4,1), and (0.5,0.8) respectively and this can be determined by using the arithmetic operation.
Given :
The product of the two numbers is 0.4.
Let the first number be 'a' and the second number be 'b'. Given that the product of two numbers is 0.4 then the possible values of 'a' and 'b' are given in the below table:
a b [tex]\rm a\times b[/tex]
0.2 2 0.4
0.4 1 0.4
0.5 0.8 0.4
The possible values of 'a' are 0.2, 0.4 and 0.5 and the possible values of 'b' are 2, 1, and 0.8 respectively.
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Aiden refills three token machines in an arcade. He puts twice the number in machine A as in machine B, and in machine C , he puts 3/4 of what he put in machine A. The total amount of tokens was 18324. How many tokens does each machine have.
Answer:
Machine A has 8144 tokens, machine B has 4072 tokens and machine C has 6108 tokens.
Step-by-step explanation:
Let call: X the number of tokens that machine A has, Y the number of tokens that machine B has and Z the number of tokens that machine C has.
From the sentence: He puts twice the number in machine A as in machine B, we can formulate the equation 1 as:
X = 2*Y
Solving for Y we can write the equation 1 as:
Y = X/2
From the sentence: in machine C , he puts 3/4 of what he put in machine A, we can formulate the equation 2 as:
Z = (3/4)*X
And from the sentence the total amount of tokens was 18324. we can formulate the equation 3 as:
X + Y + Z = 18324
So, if we replace the Y by X/2 and Z by (3/4)X on equation 3 and solve for X, we get:
X + Y + Z = 18324
X + X/2 + (3/4)X = 18324
(9/4)X=18324
X = 18324*(4/9)
X = 8144
Then, replacing this value on equation 1 and 2 to find Y and Z respectively, we get:
Y = X/2 = 8144/2 = 4071
Z = (3/4)*X = (3/4)*4071 = 6108
So, machine A has 8144 tokens, machine B has 4072 tokens and machine C has 6108 tokens.
Evan made origami cranes with red, blue, and yellow paper. The number of cranes in each color is the same. If there are 342 cranes, how many of them are blue or yellow?
The sum of 3 consecutive odd numbers is 51 what is the second number in the sequence
Answer:
The second number in the sequence is 17.
Step-by-step explanation:
Let the three consecutive odd numbers be 2x-1,2x+1 and 2x+3
As per the question, the sum of the 2 odd numbers is 51.
So forming the relevant equation:
(2x-1) + (2x+1) + (2x+3) = 51
=> 6x + 3 = 51
=> 6x = 51-3 = 48
=> x = 48/6 = 8
Calculating the individual numbers:
2x-1 = 2*8 -1 = 16 - 1 = 152x+1 = 2*8+1 = 16 + 1 = 172x+3 = 2*8 +3 = 16 + 3 = 19So the consecutive odd numbers are 15,17,19 and the second number in the sequence is 17.
Two pounds of dried cranberries cost $5.04, 3 pounds of dried cranberries cost $7.56, and 7 pounds of dried cranberries cost $17.64. Write an equation that gives the cost y of x pounds of dried cranberries? Please explain how you got your answer!
The cost equation for dried cranberries is y = 2.52x.
Cost equation:
Using the given data:
2 pounds for $5.04 means each pound costs $5.04/2 = $2.52.
3 pounds for $7.56 means each pound costs $7.56/3 = $2.52.
7 pounds for $17.64 means each pound costs $17.64/7 = $2.52.
Therefore, the cost equation: y = 2.52x where y is the cost and x is the pounds of dried cranberries.
412 divided by 5 using compatible numbers
Help please I need to know If it is a function of not
distributive property
which 2 consecutive whole # does the square root of 55 lie between? Explain how to determined the 2 whole #
which amount is larger 1/2 or .39
Which double fact in this number
Sam's recipe calls for 2 1/2 cups of flour. Pete's recipe calls for 2 1/4 times the amount of flour in Sam's recipe.
Which statement is true about the recipes?
A. Sam's recipe uses less flour than Pete's.
B. Pete's recipe uses exactly 2 1/4 cups of flour, so he uses less flour in his recipe than Sam does.
C. Pete uses less flour than Sam does. Sam's recipe uses 1/4 more flour than the amount in Pete's recipe.
a team of 4 people participates in a 400 yard relay race. Each team member runs the same distance. The team completes the race in a total of 53.2 seconds. What is the average running time for each person.
There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags?
Write a real world problem that is represented by the division problem 38 divided by 5 = 7 R3 in which it makes sense to round the quotient up to 8
show how to make a ten to fund 12-4 write the number sentence
The legs of a right triangle are 10 centimeters and 24 centimeters long. What is the length of the hypotenuse?
22 centimeters
26 centimeters
30 centimeters
34 centimeters
Answer:
C
Step-by-step explanation:
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What is 3r+n^(2)-r+5-2n+2 simplified
What is 5/8 divided by 2 7/12?
5/8 divided by 27/12 gives fraction 15/62.
To divide 5/8 by 2 7/12, we can convert the mixed number 2 7/12 into an improper fraction.
First, multiply the whole number (2) by the denominator (12) and add the numerator (7) to obtain the new numerator.
= 2 x 12 + 7
= 24 + 7
= 31
The new numerator is 31.
The denominator remains the same, which is 12.
Now we have the division problem:
5/8 ÷ 31/12
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
5/8 ÷ 31/12 = 5/8 x 12/31
Now, multiply the numerators and denominators:
= (5 x 12) / (8 x 31)
= 60/248
The fraction 60/248 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:
= 60/248
= 15/62
Therefore, 5/8 divided by 27/12 gives fraction 15/62.
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how much is 3.6 divided by 0.09
what is the meaning of distributive property expression
DeShawn deposited $6500 into a bank account that earned 11.5% simple interest each year. He earned $4485 in interest before closing the account. If no money was deposited into or withdrawn from the account, for how many years was the money in the account?
6 hope this helps! :)
roger has twice as much money as carol. maria has 1/2 as much money as carol. Together they have $77. how much money does each have?
how do you divide 762÷4
A cart travels a distance of 3.6 meters in 1.8 seconds. The average speed of the cart is: Answer: meters per second.
The average speed of the cart is 2 meters/second.
Given that, a cart travels a distance of 3.6 meters in 1.8 seconds.
We need to find the average speed of the cart in meters per second.
What is the average speed?The general speed average formula for an object is given as [Average Speed = Total distance travelled ÷ Total time taken]. SI unit of average speed is m/s.
Now, the average speed=3.6/1.8
=2 meters per second
Therefore, the average speed of the cart is 2 meters/second.
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