An airplane flies at an altitude of 14,690 ft while a submarine is submerged at a depth of 521 feet below the surface of the ocean.. What is the difference between these two elevations? Write an algebraic expression for the given applied problem. Simplified the algebraic expression. In the context of the applied problem, explain what your simplified algebraic expression represents.
Answer:
[tex]d_{T} = d_{A}-d_{S}[/tex]. The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.
Step-by-step explanation:
Let be [tex]d[/tex] the distance between a vehicle and sea level, [tex]d > 0[/tex] when vehicle is above sea level, otherwise is below sea level. The difference between airplane and submarine ([tex]d_{T}[/tex]), measured in feet, is obtained by the following expression, that is:
[tex]d_{T} = d_{A}-d_{S}[/tex]
Where:
[tex]d_{A}[/tex] - Distance of airplane with respect to sea level, measured in meters.
[tex]d_{S}[/tex] - Distance of submarine with respect to sea level, measured in meters.
If we know that [tex]d_{A} = 14690\,ft[/tex] and [tex]d_{S} = -521\,ft[/tex], then:
[tex]d_{T} = 14690\,ft - (-521\,ft)[/tex]
[tex]d_{T} = 15211\,ft.[/tex]
The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.
The algebraic equation represents the distance of the airplane with respect to the submarine is,
[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]
And the distance between the two elevations is 15,211 feet.
Given that,
An airplane flies at an altitude of 14,690 ft,
While a submarine is submerged at a depth of 521 feet below the surface of the ocean.
We have to determine,
What is the difference between these two elevations?
According to the question,
Let, x be the distance between a vehicle and sea level when the vehicle is above sea level, otherwise is below sea level.
The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine, measured in feet, is obtained by the following expression, that is:
[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]
Where [tex]\rm x_a[/tex] represents the distance of airplane with respect to sea levels.
And [tex]\rm x_s[/tex] represent the distance of the submarine with respect to sea levels.
Submerged at a depth of 521 feet below the surface of the ocean,
[tex]\rm x_s = -521 \ feet[/tex]
Therefore,
The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine is,
[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s\\\\ The \ difference \ between \ both \ elevation = 14,690-(-521)\\\\\rm The \ difference \ between \ both \ elevation = 15,211 \ feet[/tex]
Hence, The difference between these two elevations is 15,211 feet.
For more details refer to the link given below.
https://brainly.com/question/9351049
Identify which line from the graph the following right triangles could lie on.
Answer:
Step-by-step explanation:
Slope of line A = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{9}{3}[/tex]
= 3
Slope of line B = [tex]\frac{9}{6}[/tex]
= [tex]\frac{3}{2}[/tex]
Slope of line C = [tex]\frac{6}{8}[/tex]
= [tex]\frac{3}{4}[/tex]
5). Slope of the hypotenuse of the right triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{90}{120}[/tex]
= [tex]\frac{3}{4}[/tex]
Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.
6). Slope of the hypotenuse = [tex]\frac{30}{10}[/tex]
= 3
Therefore, this triangle may lie on the line A.
7). Slope of hypotenuse = [tex]\frac{18}{24}[/tex]
= [tex]\frac{3}{4}[/tex]
Given triangle may lie on the line C.
8). Slope of hypotenuse = [tex]\frac{21}{14}[/tex]
= [tex]\frac{3}{2}[/tex]
Given triangle may lie on the line B.
9). Slope of hypotenuse = [tex]\frac{36}{24}[/tex]
= [tex]\frac{3}{2}[/tex]
Given triangle may lie on the line B.
10). Slope of hypotenuse = [tex]\frac{48}{16}[/tex]
= 3
Given triangle may lie on the line A.
which polynomial represents the company’s total output?
Answer:
C. 2b^3 + b^2 - 2b - 380
Step-by-step explanation:
Factory A: 2b^3 - 3b^2 + b - 120
Factory B: 4b^2 - 3b - 260
Add the polynomials:
2b^3 - 3b^2 + b - 120 + 4b^2 - 3b - 260 =
Be careful to combine like terms.
= 2b^3 - 3b^2 + 4b^2 + b - 3b - 120 - 260
= 2b^3 + b^2 - 2b - 380
Answer: C. 2b^3 + b^2 - 2b - 380
what is the greatest common factor for x^6+y^4+x^3+y^2
Answer:
1
Step-by-step explanation:
x⁶+y⁴+x³+y² correct?
There's nothing you could factor from this that would make anything look nicer. So the GCF is just 1.
what is x6y6z2 please asap
Dear student,
I request you to make you question more clear.
thank you,
________ ___________________________________
Is the study experimental or observational? A sample of fish is taken from a lake and each fish is weighed to measure the effect of pollution from a nearby factory on the fish. This group is then compared to another group taken from a lake in the same county in a state park where no businesses or houses are near the lake.
Answer:
For me I think it is observational
Step-by-step explanation:
Observation is the action or process of closing observing or monitoring something or someone while
Experimenting is to perform a scientific procedure, especially in a laboratory to determine something
So from the two definition I think the answer is observation
What does ¼ x (5.6) equal to
Answer:
The answer is 1.4 because you have to simplify it. Hope this helps :)
Step-by-step explanation:
A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negative 6 comma 2, C at negative 2 comma 2, and D at negative 2 comma 6. If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. Help please
Answer:
A) (-1’,1‘)
B) (-1’,-2’)
C) (3’,-2’)
D) (3’,2’)
Step-by-step explanation:
A) (-1’,1‘)
B) (-1’,-2’)
C) (3’,-2’)
D) (3’,2’)
A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same speed along different legs of the triangle while spraying the land. If the area covered is changing at
5 m2/s, how fast are the people moving when they are 5 m from the right angle? (Round approximations to two decimal places.)
Answer:
1 m/s
Step-by-step explanation:
the area of the triangle = A = ¹/₂ab
where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²
now we find the derivative of both sides:
dA/dt = ¹/₂ ⋅ dx²/dt
dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt
dA/dt = x ⋅ dx/dt = x ⋅ velocity
we are told that x = 5 m, and dA/dt = 5 m²/s
velocity = dA/dt / x
velocity = 5 m²/s / 5 m = 1 m/s
Four hundred seven million eighty two thousand in numbers
Answer:
407082000
Step-by-step explanation:
hope it helps
Pls mark as brainiest...........
Answer:
407,820,000.
Step-by-step explanation:
This is how four hundred seven million eighty two thousand is written a numerical value.
Rewrite 118 as a fraction in lowest terms.
3,394 divided by 42
Answer:
80.80
Step-by-step explanation:
3394/42 simplified would be 1697/21
as a mixed form it would be 80 and 17/21
As a decimal, 80.809...
Hope this helps :)
HELP PLZ AND.... HIIIII!
Answer:
0.002 meters per second
Answer: 0.0002 meters per second
Factors that influence a hypothesis test with the t statistic Suppose you conduct a hypothesis test about a population mean when the standard deviation is unknown calculating a t statistic and determining whether to reject the null hypothesis. Assume that your t statistic positive value and that you will reject the null hypothesis when t is very large. For each of the potential the components of your study design or the results listed below, determine the change to the t statistic, select "Increases, " "Decreases, " or "Stays the same" from the dropdown menu in the right-hand column.
Please find attachment for full question Answer:
1. Stays same
2. Decrease
3. Stays same
4. Decrease
Explanation:
Please find attachment
Solve the problem.
A pendulum swinging through a central angle of 108° completes an arc of length 24 cm. What is the length of the
pendulum? Round to the nearest hundredth.
Answer:
Yes! I was looking to refresh my geometry skill!
Step-by-step explanation:
So, a 108* arc is 24 cm. How to solve it?
First, we need to find the Circumference, or perimeter of the circle. (That the swinging pendulum makes.
Second, use that in the formula for circumference, and find the radius.
Third, done! So, let's get to it!
All we have to do to find the circumference is divide 24 by 108, then multiply that by 360*(because a circle is 360*).
[tex]24/108*360=80[/tex]
So, our circumference is 80cm. Nice! Just need to input that into the circumference formula.
[tex]80=2\pi *r\\[/tex]
Now, to solve...
[tex]40=\pi *r\\40/\pi =r[/tex]
This rounds to about 12.73 cm.
Hope this helps!
Happy Geometry!
Practice isolating the variable to solve equations with
variables on both sides.
Assignment
Consider the equation 9 - 4x = 2x.
Which equation resulted from adding 4x to both sides to isolate the variable term?
O9-2x = 4x
O 9 = -2x
O 9 =6x
O 4x=2x-9
Answer:
9 =6x
Step-by-step explanation:
We know this is the answer because the -4x was cancelled out left to the equal sign, and 2x has now become 6x after adding 4x.
Answer:
9/6 or 1.5
Step-by-step explanation:
both are right
PLS HELP ASAP OR I WILL FAIL How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 2 7/10 mph
Hey! Not to good at explaining this, but the correct answer is 3/5 hours, or 36 minutes.
Answer:
3/5
Step-by-step explanation:
just did it and my school said i got it right
2 - 6k = 5 - 3k - 12 k =
Answer:
k = 3
Step-by-step explanation:
2 - 6k = 5 - 3k -12
Add like terms at RHS
2 - 6k = -3k - 7
Add 6k to both sides
2 - 6k + 6k = -3k - 7 + 6k
2 = 3k - 7
Add 7 to both sides
2 +7 = 3k
9 = 3k
Divide both sides by 3
9/3 = 3k/3
3 = k
k = 3
Evaluate the following expressions.
1. |2x + 7| + |1 - 2x^2| - 4x, given x = 3
Answer:
It should be -8 please let me know if I am right
Step-by-step explanation:
(2*3+7)+(1-2*3^2)-4*3
(6+7)+(-3^2)-12
13+-9-12
=-8
The set of values that makes an equation true is called
Answer:
Step-by-step explanation:
A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14.
Answer:
Solution
Step-by-step explanation:
To make the equation true, you need to have proof that it is correct. Therefore, a solution.
On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 5°F on Sunday. What was the temperature on Sunday? How did the temperature change? This is an easy question but a little bit harder to work out! This was a question on a recent quiz I had and I wanted to see if you guys could figure it out?!
Answer:
85 F
Step-by-step explanation: Subtract and add the increase and decrease along each day.
Friday: 82 F
Saturday: 80 F
Sunday: 85 F
PLEASE HELP WILL MAKE BRAINLIEST
Complete the table below to show the number of rods in staircase frames with different number of steps
Tutoring Services: Suppose that 40% of community college students never use tutoring services available at their college. Suppose we randomly select samples of community college students. For each sample we calculate the proportion who do not use tutoring. If we randomly sample 500 students at a time, what will be the mean and standard error of the sampling distribution of sample proportions
Answer: The mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.
Step-by-step explanation:
Formula : Mean of the sampling distribution of sample proportions
[tex]\mu_p= p[/tex]
Standard error of the sampling distribution of sample proportions
[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}[/tex]
, where p = population proportion
n= sample size
Here, p =0040
n= 500
So , Mean of the sampling distribution of sample proportions
[tex]\mu_p= 0.40[/tex]
Standard error of the sampling distribution of sample proportions
[tex]\sigma_p=\sqrt{\dfrac{0.40(1-0.40)}{500}}\\\\=\sqrt{\sdfrac{0.40\times0.60}{500}}\\\\=\sqrt{\dfrac{0.24}{500}}\\\\=\sqrt{0.00048}\\\\\approx0.0219[/tex]
Hence, mean and standard error of the sampling distribution of sample proportions are 0.40 and 0.0219 respectively.
Mrs. Quill wrote a check for $66 for 22 school lunches. What is the cost per lunch?
is this division?
Answer:
Yes it is division
Step-by-step explanation:
It should be 3
Answer: yes division
66÷22=$3 per lunch
Step-by-step explanation:
20+52x81/5 is the algebra question
Answer:
The first person said it before I did :( Well, good luck with your studies! Hope you have a great day!
From: iOEJuan ran the lemonade stand for 3 more days
Answer:
We need more information to be able to answer your question.
Find LM.
2x-16 x-9
11
L
M
N
Answer:
LM is 8
Step-by-step explanation:
LM --> (2x-16)+(x-9) =11
Solve for x
2x+x-16-9 =113x-25=113x=36x=12Plug in this value for LM equation to solve for LM:
(2x-16)2(12)-1624-16 = 8LM is 8
Joan has $5,000 in her savings account.
She takes out $200 per week. In how
many weeks will it take Joan to deplete
her savings account?
Answer:
Step-by-step explanation:
25
5,000 divided by 200
witch of the following equations could be used to solve the problem? x2+2=36 2x+2=36 2x=36 2x+1=36
Answer:
There is no problem stated, but here is the x's for every equations provided:
Step-by-step explanation:
a.) x²+2=36
x²=34
x=√34
b.) 2x + 2 =36
2x= 34
x= 17
c.)2x=36
x= 18
d.) 2x+1=36
2x=35
x=35/2
There are 266 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 31 fans? Division and rounding required of whole numbers.
Exact answer: 8.5
Rounded Answer: 9