As elevation increases, the atmospheric air pressure decreases. The air pressure P in pascals given the altitude a in meters is a = 15,500 (5 - log₁0 P). What is the air pressure at the peak of Mount Marcy, which has an elevation of 1629 meters? Round your answer to the nearest whole pascal.
Answers
The air pressure at the peak of Mount Marcy is approximately 164.17 pascals.
What is air pressure?Air pressure, also known as atmospheric pressure, is the force exerted by the weight of the Earth's atmosphere on any given surface. It is the weight of the column of air that extends from the Earth's surface up to the top of the atmosphere.
What is Pascal?The Pascal (symbol: Pa) is the SI (International System of Units) unit of pressure, named after the French mathematician and physicist Blaise Pascal. One pascal is defined as the pressure exerted by the force of one Newton on an area of one square meter. In other words, 1 Pa = 1 N/m².
According to the given informationWe are given the formula that relates the altitude (a) and the atmospheric air pressure (P):
a = 15,500 (5 - log₁0 P)
We are also given that the altitude at the peak of Mount Marcy is 1629 meters. We can use this information to find the atmospheric air pressure at the peak of Mount Marcy by plugging in a = 1629 and solving for P:
1629 = 15,500 (5 - log₁0 P)
Dividing both sides by 15,500, we get:
(5 - log₁0 P) = 1629 / 15,500
Subtracting 5 from both sides, we get:
-log₁0 P = (1629 / 15,500) - 5
Simplifying the right-hand side, we get:
-log₁0 P = -1.5454
Taking the inverse logarithm (base 10) of both sides, we get:
P = 10⁻¹.⁵⁴⁵⁴
Using a calculator, we can evaluate this expression to get:
P ≈ 164.17 pascals
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Related Questions
What is the quotient?
x-1) 7x2-3x-9
O 7x - 10 -
19
X-1
7x + 4-5
x-1
O 7x – 10+
x-1
+*+1
7x + 4 - 13
X-1
Answers
Answer:
Option B will be your answer
Step-by-step explanation:
hope it helps you...
Answer:
B is correct
Step-by-step explanation:
7x -4 5/x-1
A train leaves at 17.22 and arrives at its destination at 18.14.
If the train travelled 56 km, what was it's average speed in km/h?
Give your answer rounded to 1 dp.
Answers
Answer:
48.5 km/h
Step-by-step explanation:
speed = distance/time
distance =56km
time = 1814h - 1722h
time = 52 min = 52/60h =13/15h
speed = 56*13/15
speed = 48.53
into 1dp= 48.5 km/h
Answer =
So first remember the formula:
Distance/Time= Speed.
Now you see how many minutes it is from 17:22 to 18:14.
17:22 > 18.14 = 52 minutes, 1 Hour = 60 minutes. Hence, 52/60.
Then you get your calculator and do, 56 km/ 52/60
So what I mean is basically 56 km *fraction line* 52 *another fraction line* and then 60 in your calculator. Then you will get a fraction then press SD in your calculator.
You should get 64.6153....
Now the final step is to round it to the 1st decimal place, so
64.6|153 after 64.6 is the first decimal place which is (1) and 1 is below 5 so it will not go up and therefore stay the same so, your Answer is: 64.6 km/h.
Hope it helped!
Also Guys I gave myself 1 rating lol by accident, and also the answer is right since I checked it with my seniors and teachers!
*extra points* evaluate \(\sqrt[3]{2744}\)
Answers
Answer:
14
Step-by-step explanation:
A square has a perimeter of 8x - 10 units, Each side is x units long. What is the value of x?
Answers
Answer:
They want you to recognize that you can make 2 equations that both are equal to P.... the perimeter.... and then set them equal to each other and solve for x .. as below
Step-by-step explanation:
P = 8x-10
P = 4x
4x = 8x-10
10 = 4x
2.5 = x
Using the properties of equality to solve the equation -2b + 7 = -13, you would _____.
A.) add 13 and then divide by -2
B.) subtract 7 and then add 2
C.) subtract 7 and then divide by -2
D.) add 13 and then add 2
this is multiple choice
Answers
c. subtract 7 from both sides and then divide both sides by -2
Explanation:
Step 1 - Subtract 7 from both sides
-2b + 7 = -13
-2b + 7 - 7 = -13 - 7
-2b = -20
Step 2 - Divide both sides by -2
-2b = -20
-2b / -2b = -20 / -2b
b = 10
Answer:
Subtract 7 from each side
Divide each side by -2
Step-by-step explanation:
-2b+7 = -13
Subtract 7 from each side
-2b+7 -7= -13-7
-2b = -20
Divide each side by -2
-2b/-2 = -20/-2
b = 1-
The net of a cylinder is shown below.
a) Work out the length x, in mm.
b) What is the total surface area of the cylinder, in
mm²?
Give your answers in terms of .
5 mm
5 mm
I
[4 mm
Answers
x² = 5² + 4²
x² = 25 + 16
x² = 41
x = sqrt(41) mm
b) The total surface area of the cylinder is the sum of the areas of the two circles and the rectangle:
Total surface area = 2πr² + 2πrh
Total surface area = 2π(4 mm)² + 2π(4 mm)(5 mm)
Total surface area = 32π + 40π
Total surface area = 72π mm²
Therefore, the total surface area of the cylinder is 72π mm².
which function(s) has the following properties? there may be more than one answer, so select all that apply. . domain is all real numbers, . range is all integers, . g
Answers
The correct answer is option c. There are no real-valued functions that have a domain of all real numbers and a range of all integers.
A function maps an input (or domain) to a unique output (or range). In order for a function to have a domain of all real numbers, it must take any real number as an input and provide a unique output. However, for a function to have a range of all integers, it must be the case that every output is an integer.
Since the real numbers are not countable and the integers are countable, there can be no function that maps every real number to a unique integer. In other words, there is no one-to-one correspondence between the real numbers and the integers, which means that it is not possible to find a function that maps every real number to an integer.
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Complete Question:
which function(s) has the following properties? there may be more than one answer, so select all that apply.
the domain is all real numbersthe range is all integersnone of the aboveCan you guys give a Ratio problem for my class?
Answers
Answer:
no
Step-by-step explanation:
proportional escape room puzzle two
Answers
Answer:
Step-by-step explanation:
Is there a question to it?
How many lines can be formed in a cube please help tomorrow na ang deadline nito
Answers
In a cube, a total of 12 lines can be formed.
It has 8 vertices and 12 edges. In geometry, a line is a straight geometric figure that extends indefinitely in both directions. The lines in a cube are the straight lines that connect two vertices or edges of the cube. When two points are connected with a line, it creates an edge. In a cube, there are 12 edges. Each edge is shared by two faces, and the edges are the line segments that make up the sides of the cube.
Thus, the number of lines that can be formed in a cube is 12. When two or more lines meet at a point, it is called a vertex. A cube has eight vertices or corners. When a line is drawn between any two vertices of a cube, it is called a diagonal. In a cube, there are 12 diagonals. A diagonal is a straight line segment that connects two non-adjacent vertices of a polygon. So, the number of lines that can be formed in a cube is 12, which includes the 12 edges.
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Adele started her homework at 9:10. She finished at 9:45, what's the answer?
Answers
Answer:
she spent 35 minutes on her homework
Step-by-step explanation:
Answer:
35 minutes.
Step-by-step explanation:
Because at 9:20, it's been 10 minutes. Then at 9:30, it's been 20 minutes, then at 9:45 it has been 15 minutes which all that added up is 35.
Brainliest??? Please amigo?
What is 7/8 - 1/2 show your work
Answers
A patient who originally weighed 340 pounds lost 60 pounds. What percent of his original weight did he lose?
Answers
Answer:
82.35%
Step-by-step explanation:
60 divided by 340=0.17647058823
Multiply that by 100 and you get 17.647058823
Next, round and you get 17.65
100-17.65=82.35
What situation could the graph represent?
a. total rainfall during a rainy day
b. temperature as the weather changes from rainy to snowy
c. speed of a car starting from a stop sign and then approaching a stoplight
d. riding your bike slowly up a steep hill and then quickly down the other side
Answers
Answer:
b
Step-by-step explanation:
It can only be b because the graph is steadily decreasing (negative slope). if it's raining, the temperature is above freezing, and then the rain would turn to snow if the temperature dropped below freezing. So that matches the graph.
For a, total rainfall in a day, the total would keep going up, so it would have a positive slope.
For c, the speed of the car would be at 0 at the beginning when in's at the stop sign, and the graph is starting out well above 0.
For d, the graph would have to go up then down to represent the hill.
This is because it is the most suitable option than other graphs. Let's verify all options.
Option A => This does not do anything with the graph.Option B => This is the most reasonable option because it states that the weather changes from rainy to snowy. As the graph decreases, the temperature changes.Option C => This graph is halfway correct, but halfway incorrect. This is because if the speed of the car increases, the graph should increase. However, this graph shows the line decreasing. Hence, this does not do anything of the graph.Option D => This graph is halfway correct, but halfway incorrect. This is because if the speed of the bike increases, the graph should increase. However, this graph shows the line decreasing. Hence, this does not do anything of the graph.I WILL GIVE BRAINLIEST TO TE CORRECT ANSWER
Two situations are given in the table below.
Drag the words to show which situation is modeled by an expression and which is
modeled by an equation.
Answers
Answer:
Matthew drank 4 more glasses of water than Nicole: equation
Four more glasses of water than Nicole: expression
Step-by-step explanation:
We can model "Matthew drank 4 more glasses of water than Nicole" as an equation as follows:
\(m=n+4\)
However, "Four more glasses of water than Nicole" is only an expression. It doesn't include an equality.
supersciencestudy is correct, an equation must include an equality.
A car was worth 5700 overtime the car decreased 10% in value how much is the car now
Answers
Answer: The answer is 5130
Step-by-step explanation:
10% of 5700 is 570.
You then minus this value from the original total
Therefore, 5700-570= 5130
Answer: 570
Step-by-step explanation: 10/100 times 5700/1=570/1
separate into real and imaginary parts and find the multiplicative inverse of √2+i/√2-i (only 2 is in the √
Answers
The multiplicative inverse for √2-i = 1/(√2+1) and The multiplicative inverse is √2+1 = 1/(√2-1)
Real and Imaginary Numbers/Complex NumbersGiven Data
First expression = √2+iSecond expression = √2-iFor√2+i
the real part is is √2 and the imaginary part is i
The multiplicative inverse is √2+1 = 1/(√2-1)
rationalising the denominator we have
= 1/√2-1 * √2-1/√2-1
= √2-1/(√2-1)*(√2-1)
= √2-1/(2-√2-√2+1)
= √2-1/(-2√2+3)
For√2-i
the real part is is √2 and the imaginary part is -i
The multiplicative inverse is √2-1 = 1/(√2+1)
Rationalising the denominator we have
= 1/√2+1 * √2+1/√2+1
= √2+1/(√2+1)*(√2+1)
= √2+1/(2+√2+√2+1)
= √2+1/(2√2+3)
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Maya wants to make a pyramid out of plaster for her social studies class. How much plasterdoes she need to make a rectangular pyramid with the dimensions shown below?A11 in. +6 in.8 in.+Type the answer in the box.cubic inches
Answers
The volume of the pyramid can be determined as,
\(V=\frac{1}{3}\times area\text{ of base}\times height\)Substituting the given values,
\(\begin{gathered} V=\frac{1}{3}\times(8in\times6in)\times11in \\ =176in^3 \end{gathered}\)Thus, the 176 cubic inches of plaster is required.
A simple random sample of 1,110 adult Americans is selected, and each person is asked the following question In light of all the evidence against the defendant, do you think he/she is guity? About 75% of those responding answered yes. The results of this survey: O are reasonably accurate because it used a large simple random sample. o probably overstate the percentage of people who think the defendant is guilty because of the questions wording. O probably understate the percentage of people who think the defendant is guity because of the questio O is inaccurate because of voluntary response. a Is inaccurate because of convenience sampling.
Answers
The most appropriate answer is: "O probably overstate the percentage of people who think the defendant is guilty because of the question's wording."
What is Wording bias?
Wording bias refers to a situation where the specific wording or phrasing of a question in a survey or interview influences the respondent's answer in a way that deviates from their true opinion or belief. It occurs when the choice of words, tone, or context of a question introduces a bias that may lead respondents to provide responses that do not accurately reflect their true thoughts or feelings.
The reason "O probably overstate the percentage of people who think the defendant is guilty because of the question's wording" is the most appropriate answer is as follows:
The wording of the question may introduce bias or influence respondents' answers. In this case, the question asks, "In light of all the evidence against the defendant, do you think he/she is guilty?" The phrase "in light of all the evidence against the defendant" may create a biased or suggestive context that leans towards a guilty verdict.
As a result, respondents may be more likely to answer "yes" based on the framing of the question, potentially inflating the percentage of people who think the defendant is guilty. Therefore, the survey results might overstate the true proportion of individuals who believe the defendant is guilty due to the potential bias introduced by the question's wording.
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Which number line best shows the position of 172
Answers
Ken is choosing a shrub and a rose tree for his garden.
At the garden centre there are 18 different types of shrubs and some rose trees.
Ken works out that there are 252 ways for him to choose one shrub and one
rose tree.
If Ken is correct with his figure of 252 different ways, how many rose trees are
there at the garden centre?
Answers
By using the permutation, there are 14 rose trees in the garden.
The total number of ways that 1 shrub and 1 rose can be chosen = 252 ways.
Number of shrubs = 18
So, the number of ways of selecting a shrub will also be = 18
Now, let the number of roses be x.
Now, we will use the concept of permutation.
So, we get that:
18 × x = 252
x = 252 / 18
x = 14 roses
Therefore, we get that, by using the permutation, there are 14 rose trees in the garden.
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Write the equation of the line fully simplified slope-intercept form.
Answers
Answer:
y = -1x + 2
Step-by-step explanation:
y=mx+bgoing down to the right negative sloperise over run so 1/1 makes the slope 1negative 1 for the slopeb is the y-intercept and the line lands on the point (0,2)Can someone pls help me? I have 4 hours to do this!
Answers
Answer:
a
Step-by-step explanation:
I need help simplifying this
Answers
Answer:
n^2
Step-by-step explanation:
cancel the common factor between n^7 and n^2
Simplify 3(y - 1) + 7 completely
Answers
Answer:3y+4
Step-by-step explanation:
The solution of the expression will be 3y+4.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 3(y - 1) + 7. The solution of the expression is done as below,
E = 3(y - 1) + 7
E = 3y - 3 + 7
E = 3y + 4
Therefore, the solution of the expression will be 3y+4.
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I need help asap with this maths question
Answers
Answer:
\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)
Step-by-step explanation:
Keisha is playing a game using a wheel divided into 8 equal sectors, as shown in the diagram below. Each time the spinner lands on blue, she will win a prize. If Keisha spins this wheel twice, what is the probability that she will win a prize on both spins?
Answers
In a wheel game with eight equally spaced sectors, Keisha's chances of winning a reward on both spins are 1/16.
What is a probability example?Probability—the possibility that an occurrence will happen—is calculated by dividing here the same number of favorable outcomes by the total number of possible outcomes. A coin toss serves as the most simple instance. If you flip a coin, there are only two possible outcomes: heads or tails.
The spinners will get a reward each everytime she lands on white. She will spin the wheel twice.
Here, there are two instances of such color white in the wheel, and there are a total of eight sectors. the likelihood that white will appear in the spin for the first time is,
P = 2/8
P = 1/4
The second case's circumstances are the same. In this instance, the outcomes including both wheel revolutions are independent of one another.
According to the product rule, the likelihood that a white sector will both spin and emerge is,
P = 1/4 * 1/4
P = 1/16
In a wheel game with eight equally spaced sectors, Keisha has a 1/16 chance of winning a reward on both spins.
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The complete question is-
Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram. Each time the spinner lands on white, she will win a prize. If she spins this wheel twice, what is the probability she will win a prize on both spins? Please show all steps!
Factor the following expression :x3 + x2
Answers
Answer:
x^2(x+1)
Plz let me know if im wrong!!!
find the measure of each lettered angle. a=, b=, c=, d=, e=
Answers
Answer:
a= 20
b= 70
c= 20
d=70
e=110
Step-by-step explanation:
a + the 70 degree angle have to equal 90 degrees (the right angle marking) and the same with b + a. So to ind a, you do 90-70 and to find b, because you now have the value of a, you do 90-20.
a+b+c+70 is equal to a 180 degree angle, so since you know the value of a and b, now you can figure out c by doing 180-(70+20+70).
d and the 70 degree angle are vertical angles so they are equal to each other.
lastly for e, d+e is equal to 180 degrees so since you know the value of d, you just do 180-70 to find e.
Answer:
a = 20°
b = 70°
c = 20°
d = 70°
e = 110°
Step-by-step explanation:
Angle A is complementary with 70°, so they add together to = 90° (as indicated by the 90° mark).
90° - 70° = 20°
Angle A = 20°
Angle B is complementary with angle A, 20°, so they also add together to = 90°.
90° - 20 = 70°
Angle B = 70°
Although not indicated by a 90° mark, Angle C and Angle B are complementary since they share a straight line with the complementary angles A and 70°. This means Angles C + B = 90°
90° - 70° = 20°
Angle C = 20°
Angle D is vertical to 70°, so Angle D = 70°
Angle E is supplementary to 70°, so they should combine to = 180°
180° - 70° = 110°
Angle E = 110°
A first grade teacher is teaching algebraic reasoning through problems which present to the students as if they are puzzles. One way the teacher could do this is to introduce students to a card game in which they must find the missing addend. What could be the teacher's goal with this method?
Answers
The teacher's goal in introducing students to a card game where they must find the missing addend could be to develop and enhance their algebraic reasoning skills.
By presenting the problem as a puzzle or game, the teacher aims to engage the students in a fun and interactive way while fostering their ability to think critically and solve mathematical problems. The game helps students practice identifying the missing addend and applying algebraic thinking to find the solution. Additionally, it promotes the development of problem-solving strategies, logical reasoning, and the ability to generalize mathematical patterns, which are foundational skills in algebraic reasoning.
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