The temperature at 6000 meters would be -21.9°C.
The lapse Rate refers to the rate of decline in air temperature with relation to increase in altitude.
Here, the lapse Rate is given as follows-
for 0-1500 meters: 5.5 °C/1000m
for 1500-4000 meters: 12.1°C/1000m.
and above 4000 meters: normal lapse rate
The Normal lapse Rate is 6.5°C per 1000 meters.
Now,
surface temperature at sea level = 29.6°C
the decline in temperature up to 1500m would be-
5.5°C/1000×1500 = 8.25°C
So the temperature at 1500 meter is 29.6 - 8.25 = 21.35°C
Further, the decline in temperature up to 4000m would be-
12.1°C/1000×2500= 30.25°C
So Temperature at 4000 meters is 21.35 - 30.25 = -8.9°C
Now, above 4000 meters, decline in temperature would be-
6.5°C/1000×2000= 13°C
So temperature at 6000 meters would be
-8.9°C - 13°C = -21.9°C
Thus, the temperature at 6000 meters would be -21.9°C
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PLEASE HELP! TRIGONOMETRY:
A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of the plane. The angles of depression to the towns are 24° and 53° (see figure). How far (in km) apart are the towns? (Round your answer to one decimal place.)
Using relations in a right triangle, it is found that the distance between the towns is of 15 km.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.For the first town, we have that:
The internal angle of the triangle 90 - 53 = 37º.The opposite side to the angle is the horizontal position xA.The adjacent side to the angle is of 10 km.Hence:
tan(37º) = xA/10
xA = 10 x tan(37º).
xA = 7.5 km.
For the second town, we have that:
The internal angle of the triangle 90 - 24 = 66º.The opposite side to the angle is the horizontal position xB.The adjacent side to the angle is of 10 km.Hence:
tan(66º) = xB/10
xB = 10 x tan(66º).
xB = 22.5 km.
Hence the distance is:
22.5 km - 7.5 km = 15 km.
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explain how to graph the equation on a coordinate plane: y = 3x - 5
lations below are also functions?
To graph an equation on the co-ordinate plane we plot points that satisfy the given equation .
The graph of a linear equation is two variables gives a straight line on the co-ordinate plane.
To graph a straight line on the co-ordinate plane we take three points or solution of the equation on the line and join them.To calculate the solutions(points) of the line we take some values of x and calculate the corresponding values of y.Then we make a table of the points and graph the equation of the line by joining the points.the given equation is y=3x-5
at x=0 ,y=3×0-5 or y=-5
at x=2 , y=(3×2)-5 or y=1
at x=-1,y=(3×-1)-5 or y=-8
Now we make the table to get the desired points.
x y point
0 -5 A (0,-5)
2 1 C(2,1)
-1 -11 B (-1,-8)
The graph for the equation y=3x-5 is drawn.
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4.Add 13.24 + 35.67 +4.321
please explain in number form and as little as possible but still explaining
Answer:
Step-by-step explanation:
it should be 53.231 i think
05601
4. Some chemistry students estimated that a small block of copper would weigh 500 grams. The
actual mass of the copper was 428 grams. What is the percent of error to the nearest hundredth
percent?
The percent of error to the nearest hundredth percent is
%.
The percent of error to the nearest hundredth percent is 16.82 % when the estimated mass is 500 g and the actual mass is 428 g.
We are given that:
Some students estimated that a small block of Copper will have the mass = 500 g
Estimated mass = 500 g
But now, the actual mass was found out and it came = 428 g
Actual mass = 428 g
The error in estimation was:
Error = 500 g - 428 g
Error = 72 g
Percentage of error = 72 g / 428 g × 100
Percentage of error = 7200 g / 428 g %
Percentage of error = 16.82 %
Therefore, we get that the percent of error to the nearest hundredth percent is 16.82 %.
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Which fraction is greater, 35/109 or 36/104?? To explain your answer, use our definition of fraction along with reasoning other than finding common denominators, common numerators, cross-multiplying, or converting to decimals.
The greater proportion is 36/104 since 34.62% is greater than 32.11%.
What is percentage?A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) indicates the hundredth part; consequently, 100 percent represents the complete amount and 200 percent specifies times the supplied quantity.
According to the given data:Given fractions are = 35/109 and 36/104
finding the greater fraction we express them as a percentages:
So the first fraction will be:
(35/109 ) * 100
= 3500/109
= 32.11%
For the second equation:
(36/104) * 100
= 3600/104
= 34.62%
The greater proportion is 36/104 since 34.62% is greater than 32.11%.
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The lines below are perpendicular. If the slope of the green line is 2/3, what is the slope of the red line? m = A. 2/3B. – 2/3C. –3/2 D. 3/2
Answer: c
Step-by-step explanation:
C is correct
Name the property shown 0+8=8
Answer:
Step-by-step explanation:
commutative
5. identify
please help ill mark you brainly thanks
Answer:
the answer is c(4)
Step-by-step explanation:
30/2=15
30/3=10
30/4= not an interger(7.5)
30/5=6
30/6=5
this is the reason why c is not an interger because all other is a whole number while c is a decimal
Calculate the magnitude of the repulsive force between a +500μC charge and a +100μC charge which are 5 m apart. [k=9×109 Nm2C-1]
The magnitude of the repulsive force between a +500μC charge and a +100μC charge which are 5 m apart is 2N.
The repulsive force between two charges = (k q₁ q₂)/r²
q₁ q₂ are the charges
r is distance between the charges
k= 9×10⁹ Nm²C²
F= (500μC) (+100μC)9×10⁹/25
= 2N
A movement between two charges that are same or comparable is referred to as repulsion. The tension between two electrons (negative charge). Two charges of a different sort are drawn toward one another by the force of attraction, which is defined as "a force between two charges that are distinct or different."
At a distance, magnetism is an attractive or repulsive force. The repulsive force gives rise to a metric that measures how a system's gravitational mass changes. According to the force-based approach, the forces that attract and repel other atoms come from their subatomic arrangement and control how they behave.
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Which is the best description of range?
The repeated values in the input set.
The -values on a graph.
The connection between sets of values.
The input values of a function.
The best description of range is (b) The y-values on a graph.
How to determine the best description of range?A graph is characterized by the following concepts:
DomainRangeThe domain of a function is the set of input values of the graph
On the other hand, the range of a function is the set of output values of the graph
This in other word means that the range is the y-values on a graph.
Hence, the best description of range is (b) The y-values on a graph.
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Answer:
its B
Step-by-step explanation:
the y values on the graph
i did the quiz and got a 100
Tyshawn took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.50 plus $3.50 per mile. The total fare was $79.50, not including the tip. Which equation could be used to determine m, the number of miles in the taxi ride?
The required equation that would be used to determine m, the number of miles in the taxi ride is 2.50 + 3.50m = 79.50.
Given that,
Tyshawn took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.50 plus $3.50 per mile. The total fare was $79.50.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number of miles be m,
Cost of the taxi of m miles = 3.50m
according to the question,
2.50 + 3.50m = 79.50
Thus, the required equation that would be used to determine m, the number of miles in the taxi ride is 2.50 + 3.50m = 79.50.
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What is 961 divided by 48???
Answer:
20.02
Step-by-step explanation:
maths calc
Round to the nearest ten
thousand.
123,045,067
Answer: 123050000
Step-by-step explanation:
don't take this down again :)
Solve the system of equations and choose the correct ordered pair. y=-2x+4 y=x-2
Answer:
(-6, -8)
Step-by-step explanation:
We have the following system of equations:
[tex]y = 2x+4[/tex] (1)
and
[tex]y=x-2[/tex] (2)
Set (1) = (2) since the LHS is y in both
We get
[tex]2x + 4 = x - 2[/tex]
Subtract x from both sides:
[tex]2x + 4 - x = x - 2 -x[/tex]
[tex]x + 4 = -2[/tex]
Subtract 4 from both sides
[tex]x + 4 - 4 = -2 -4[/tex]
[tex]x = -6[/tex]
Substitute for x in Equation (2) to get
[tex]y = -6 - 2 = -8[/tex]
So the solution is (-6, -8)
James wants to have earned $7,592 amount of interest in 16 years. Currently he finds that his
annual interest rate is 9.04%. Calculate how much money James needs to invest as his principal in
order to achieve this goal..
I=p.r.t
Solve for p
r = 8.63% or .0863
t = 24 years
I = $8613
Round answers to the nearest hundredth (two decimal places). The answer will not have a dollar
sign, and be rounded to the nearest cent.
I
a) James have to invest 5,248 dollar and 89 cent to earn $7,592 amount of interest in 16 years .
b) Principal amount of money , which is to be invested is 4158 dollar and 46 cent .
This is a problem from simple interest system. We have to use the given formula, I = p.r.t to solve this problem.
a) James wants to have earned $7,592 amount of interest in 16 years. So, here the time period is 16 years and the interest rate is 9.04% and we have to find the principal amount.
I = p. 16. ( 9.04% )
Amount of interest = $ 7592
Time period = 16 years
rate of interest = 9.04 %
7592 = p . 16 . ( 904/10000 )
p = 75920000/ 16 . 904
or , p = $5,248.89 ≈ $5249
James have to invest $5,248.89 to earn $7,592 amount of interest in 16 years .
b) We have to use the given formula to find the value of p or the principal amount of money .
Rate of interest = 8.63% or .0863
time period = 24 years
Interest = $8613
We can write ,
p = I / r.t
p = 8613 / 24 . ( .0863 ) = $ 4,158.458 = $ 4,158.46
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Look at the imagine. Help asap.
2x-1 < x+3
5x-1 > 6-2x
x-5 < 0
solve the inequality for x.
x < 4
x > 1
X < 5
find the intersection
X ∑ {1,4}
Alternative form: {x I 1 < x < 4}
∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern. For example, the sum of the first 4 squared integers, 12+22+32+42, follows a simple pattern: each term is of the form i2, and we add up values from i=1 to i=4.
Factor out the greatest common factor.
4x³+16x² +8x
The greatest common factor for 4x³+16x² +8x is 4x(x2- 4x - 2).
This solution focuses on simplification:
4x(x2-4x-2)
(4(x3)-24x2)-8x
(22x3-24x2) -8x
Take similar factors aside:
4x3-16x2-8= 4x(x2-4x-2)
Factoring x2 - 4x - 2
x2 is the initial term, and it has a coefficient of 1.
The coefficient of the intermediate term, which would be -4x, is 4.
"The constant," the final term, is -2.
Multiply the constant by the coefficient of the first term. 1 -2 = -2
The second step is to find two -2 factors whose sum is equal to the -4 coefficient of the middle word.
-2 + 1 = -1
-1 + 2 = 1
No two of these factors can be discovered!!
Trinomial cannot be factored.
Hence, The greatest common factor is 4x(x2- 4x - 2).
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write the expression (-10) . (-10) . 3 . 3 .3 .3 .3 using exponents
Explain your thinking please
The exponential form is a way of writing numbers using bases and powers. (-10)^2*3^5 is the expression in exponent form for expression (-10) . (-10) . 3 . 3 .3 .3 .3 .
What is Exponential form?The exponential form is a way of writing numbers using bases and powers.
Given expression is (-10) . (-10) . 3 . 3 .3 .3 .3, we need to write in exponent form.
An exponential function is defined by the formula f(x) = a^x, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
(-10) is 2 times and 3 is five times,
we can write in the form (-10)^2.(3)^5
Therefore the required answer is (-10)^2.(3)^5 for expression (-10) . (-10) . 3 . 3 .3 .3 .3 .
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Consider the following polygon. Determine the measure of both angles A and B. A= (16x+7) B= (13x+2)
please help me T - T
The measure of both angles A and B
Angle A= 16(7.8)+5= 129.8
Angle B =13(7.8)+4= 105.4
What is Hexagon?A hexagon can be defined as a closed two-dimensional polygon with six sides.
Hexagon has 6 vertices and 6 angles also.
Hexa means six and gonia means angles.
According to the given statement;
Hexagons have six sides, and so does this figure.
You can calculate the degrees in a shape by doing (n-2)180. With n being the number of sides(6)
There are 720 degrees in a hexagon.
1) Now write the following equation:
(16x+7)+(13x+2)+95+170+155+88=720
2) Combine alike terms:
26x+517=720
3) Subtract 538 from both sides:
26x=203
4) Divide both sides by 26
x=7.8
5) Plug in 7.8 as X in the original two equations for A and B
A- 16(7.8)+5= 129.8
B- 13(7.8)+4= 105.4
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500,000 in expanded form
Answer:
500,000 =
5 × 100,000
+ 0 × 10,000
+ 0 × 1,000
+ 0 × 100
+ 0 × 10
+ 0 × 1
Step-by-step explanation:
there are more then one ways of writing this so here's another example
500,000 =
500,000
+ 0
+ 0
+ 0
+ 0
+ 0
The sum of 4,7, and a number amounts to 16 find the number
Answer:
The unknow number is 5.
Explanation and Check part below
Hope this helps :)
Step-by-step explanation:
1. To solve, first wrote it into an equation. Also, the letter x will stand for the unknown number.
4 + 7 = 11
11 + x = 16
2. Isolate the varable by subtracting 11 from both sides of the equation.
11 + x = 16
- 11 - 11
x = 5
The unknow number is 5.
Check:
11 + 5 = 16
16 = 16
True statement.
For the rational function f(x)=2−x4x+6, find the point on the graph at the function value f(x)=1.
The point on the graph at the function value f(x)=1 is x = -4/5
How to find the point on the graph at the function value f(x)=1?The equation of the function is given as:
f(x) = 2 - x4x + 6
Rewrite the rational function, properly as follows:
f(x) = 2 - x/4x + 6
When f(x) = 1, we have:
2 - x/4x + 6 = 1
Cross multiply
2 - x = 4x + 6
Collect the like terms
4x + x = 2 - 6
Evaluate the like terms
5x = -4
Divide by 5
x = -4/5
Hence, the point on the graph at the function value f(x)=1 is x = -4/5
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Why do you think it is important to follow the order of operations? What will happen if you ignore it?
Answer: It is important to follow the order of operations because you want to make sure you get an accurate result and it ensures that you can understand and approach a mathematical problem easily. It's also important too because it sets a standard of how to solve equation so without it, equations could have multiple answers and that won't be right.
NEED HELP!! will give brain list!
Answer:
-5/40
Step-by-step explanation:
(1/40)(4) + (10/40)(2) - (29/40)(1)
The trapezoids are similar. What is the value of x? 50 75 35 7 10
Answer:
The correct value of x is 15.
Step-by-step explanation:
Each side of the larger trapezoid is 5 times each corresponding side of the smaller trapezoid.
8
LO
5
15
4
1
In the figure shown above, all the corners form right angles. What is the area of the figure in squ
O 33 square units
O 66 square units
O 70 square units
O 120 square units
The area of the given figure is 70 square units, that is, option 3.
The area of a rectangle = length × breadth
Here, we need to find the area of the shaded region.
To do this, we will subtract the area of the smaller rectangle from the larger one.
The area of the larger rectangle = 8 × 15
= 120 square units
Now, the we have one side of the smaller rectangle which is 5, the other side will be (15 - 4 - 1) = 10 units.
The area of the smaller rectangle = 10 × 5
= 50 square units
Thus, the area of the shaded region = 120 - 50
= 70 square units
Hence, the area of the figure is 70 square units.
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Your question was incomplete. Please find the missing figure below.
if we multiply by 5 to the difference of 1 out of six part of Times of 15 and 3 then find the number
Answer:
1 out of 6 part of time 15 and 3 mains time 15 and 3 has 6 parts and that you should take one out of this six paths
1/6 (15 x 3) = 1/6. x 45 = 15/2
then,multiple by 5
15/2 × 575/2 = 37 1/2
another way to write m-9
The expression written in another way is -9 + m
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and constants
How to rewrite the expression in another way?The expression is given as:
m - 9
By the subtraction property of an equation, we have
a - b = -b + a
x - y = -y + x
Using the above equations as a guide, we have
m - 9 = -9 + m
Hence, the expression written in another way is -9 + m
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What is the least common multiple of 70, 60, and 50?
60
180
210
2,100
210,000
Later you have another chocolate bar. This time, after you give away 1/3 of the bar, a
friend breaks off 3/4 of the remaining piece. What part of the origina chocolate bar do you have
left? Answer this question by drawing a diagram
Answer:
Step-by-step explanation: