Answer:
the work done in propelling the satellite is 919.2 mile-tons
Step-by-step explanation:
Given the data in the question;
we know that, the weight of a body varies inversely as the square of its distance from center of of earth;
⇒ F(x) = c / x²
given that F(x) = four-metric-ton = 4 × 1.102 = 4.408 tons
radius of earth = 4000 miles
we substitute
⇒ 4.408 = c / ( 4000 )²
c = 4.408 × ( 4000 )² = 70528000
so increment of work will be;
ΔW = ( 70528000 / x² ) Δx
Now work done in propelling to a height of 220 miles above Earth;
W = ₄₀₀₀∫⁴²²⁰ ( 70528000 / x² ) dx
W = 70528000[ - 1/x ]⁴²²⁰₄₀₀₀
W = 70528000[ - 1/4220 + 1/4000 ]
W = 70528000[ 1.3033175 × 10⁻⁵ ]
W = 919.2 mile-tons
Therefore, the work done in propelling the satellite is 919.2 mile-tons
Angle 0 corresponds to a point (x,y) on the unit circle in quadrant 1. Which quadrant does 0+pi lie in?
Answer: Quadrant 3
============================================================
Explanation:
pi radians = 180 degrees
If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.
Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.
this is a 30-60-90 triangle. what is the measure of X? please explain
[tex]x = 10 \sin(60) \\ x = 10 \frac{ \sqrt{3} }{2} \\ x = 5 \sqrt{3} [/tex]
Need help need help gonna fail
Answer:
._.
Step-by-step explanation:
Im sorry bro got no clue I hope you pass tho! (I know you will! Your awesome! :D)
Answer:
hey I just did this I will go back and check my answer
Step-by-step explanation:
The spoke of a wheel is 15 inches long. What if the area enclosed by the tire?
Answer:
225[tex]\pi[/tex]
or 706.86 rounded
Step-by-step explanation:
area of a circle is [tex]\pi r^{2}[/tex](r=radius)
[tex]\pi r^{2}[/tex]
[tex]\pi 15^{2}[/tex]
[tex]\pi 225[/tex]
=225[tex]\pi[/tex]
NASA estimates that the probability that a certain component in a communication satellite fails is .005. There is an independent backup system, and the probability that it fails is .01. What is the probability that both systems fail
Answer: [tex]0.00005[/tex]
Step-by-step explanation:
Given
The probability that a certain component in a communication satellite fails is 0.005.
There is an independent backup system, and the probability that is fails is 0.01
The probability that both the system fails is given by
[tex]\Rightarrow P=0.005\times 0.01\\\Rightarrow P=0.00005[/tex]
a market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new, expensive television commercial about the product g which is the most appropriate test
Answer and explanation:
Answer:
Two sample t test
Explanation:
The test that could be used here is the two sample t test. The two sample t test compares two groups to ascertain if there is an average significant different between the two groups being compared, also making sure the result of difference is not random. For instance to test the above example, the two sample t test compares the group before they watch the commercial with the group after the commercial to know if there is a significant difference between the two groups.
Expand ( x - 1/x^2)^4
Answer:
We want to expand the expression:
[tex](x - \frac{1}{x^2} )^4[/tex]
We can just do it by brute force, this is:
First, rewrite our expression as the product of two square factors:
[tex](x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2[/tex]
Now we can expand each one these two factors:
[tex](x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}[/tex]
That can be simplified to
[tex]x^2 - \frac{2}{x} + \frac{1}{x^4}[/tex]
Now we can replace that in our original expression to get:
[tex](x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})[/tex]
Now we can expand that last product, to get:
[tex](x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x} )^2 + (\frac{1}{x^4})^2[/tex]
We can simplify that to:
[tex]x^4 - 4x + 2x^2 - \frac{4}{x^5} + \frac{4}{x^2} + \frac{1}{x^8}[/tex]
That is the expanded expression.
Simon uses 2/3 cup of sugar to bake a cake. How many cups of sugar does he needs to bake 6 cakes?
Answer:
4
Step-by-step explanation:
2/3x6=4
Using the net below, find the surface area
of the pyramid.
7in.
4 in.
4 in.
Surface Area
[?] in.2
Enter
Answer:
is it 72
Step-by-step explanation:
true or false? like terms have the same variable and the same exponent.
what is the slope of the line passing through the points A(-2,-3) and B(6,4) ?
Answer:
Slope is the change in y over the change in x. Just subtract and simplify the fraction.
Step-by-step explanation:
(-3 - 4)
______
(-2 - 6)
A bag contain 5 red marbles, 4 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be red?
Answer:
2/91.
Step-by-step explanation:
There are 15 marbles in the bag.
Prob(First draw is red) = 5/15 = 1/3.
Prob(Second draw is red) = 4/14 = 2/7.
Prob(Third draw is red) = 3/13.
So probability that all 3 are red = .1/3 * 2/7 * 3/13
= 6/273
= 2/91.
What is the range of the function f(x) = |x| – 3?
all real numbers
all real numbers less than or equal to 3
all real numbers less than or equal to –3
all real numbers greater than or equal to –3
9514 1404 393
Answer:
all real numbers greater than or equal to –3
Step-by-step explanation:
|x| has a range of all real numbers greater than or equal to zero, so f(x) = |x|-3 will have a range of ...
all real numbers greater than or equal to -3
Answer:
(D): All real number greater than or equal to -3
Step-by-step explanation:
the distance from kevins home to his school is 2 kilometers. adrian lives 750 meters from the same school. how much closer does adrian live next to the school than kevin
A cube has a side length of 5a^2b^4. What is the volume?
Answer:
(5a²b^4)³
Step-by-step explanation:
Volume=length*breadth*height
∴Volume=5a²b^4*5a²b^4*5a²b^4
∴Volume of the cube=(5a²b^4)³
Hope it helps you!
Pls mark as Brainliest
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find cos B, tanB, and sin B. (Plz I need help)
Answer:
5/13, 12/5, 12/13
Step-by-step explanation:
cos = adj/hyp
tan = opp/adj
sin = opp/hyp
hyp = 13
adj = 5
opp = 12
Plug in.
cos = 5/13
tan = 12/5
sin = 12/13
Which system of equations has no solution?
Answer:
Step-by-step explanation:
Step-by-step explanation:
I think it's C.not sure if it's correct
The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation of $43. All of the income tax returns claiming the largest 0.15 % of refunds will be audited. Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.
Answer:
A refund must be above $7,139 before it is audited.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7010, standard deviation = 43.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.
Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.
3 standard deviations above the mean, so:
7010 + 3*43 = 7139.
A refund must be above $7,139 before it is audited.
Pls someone pls help me with this question pls
Answer:
12
Step-by-step explanation:
Which triangle is similar to triangle T?
Triangle T
40
1100
110
50
Answer:
the angle that is 110° and 30°
Step-by-step explanation:
The triangle is similar to triangle T is triangle III.
Thus, option (c) is correct.
In the given triangle,
Two angles are 110 and 40.
Using Angle sum property in given triangles as
Angle 1 + Angle 2 + Angle 3 = 180
110 + 40 + Angle 3= 180
150 + Angle 3= 180
Angle 3 = 180 - 150
Angle = 30
Thus, the angles are 110, 40 and 30.
Therefore, Triangle III is similar to triangle T.
Learn more about Angle Sum property here:
https://brainly.com/question/8492819
#SPJ6
What's the cosine of 7
cosine(7 radians ) =
0.75390225434
Which of the following are the domain and range that represent the inverse of the function f(x), given the mapping diagram of f(x) below? 1 AWN O 2. 4 6 8
Answer:b
Step-by-step explanation:
Higher Order Thinking A student says that he was rearranging furniture at home and he used
a glide reflection to move a table with legs from one side of the room to the other. Will a glide
reflection result in a functioning table? Explain.
9514 1404 393
Answer:
yes
Step-by-step explanation:
A table is a 3-D object. It makes no sense to talk about reflecting it across a point or line. If the table is reflected across a vertical plane, the top will remain "up" and the legs will remain "down".
A glide reflection across a vertical plane will result in a functioning table.
Leeza did this work to solve an equation. Did she make an error?
Leeza did make an error. She also needs to multiply -5 by 3
4x = 7+6x -15
OPTION B
Answer:
leeza made an error she should have also multiplied -5 with three
Step-by-step explanation:
4x=7+3(2x-5)
4x=7+6x-15
4x=6x-8
eight goes to the other side of the equal sign and becomes positive 4x goes to the other side of equal sign and becomes negative
8=6x-4x
8/2=2x/2
4=x answer.
What's X in the diagram??
========================================================
Explanation:
Angles EGD and BGF are vertical angles. Both are unknown and equal to x.
Notice how angle AGD is adjacent to angle CGD. These two angles form a straight angle (180 degrees) and angle CGD is a right angle. That must mean AGD is also a right angle.
Angles AGE and EGD must add to 90 degrees since AGD is 90
----------
(angleAGE)+(angleEGD) = (angle AGD)
(30) + (x) = 90
x = 90-30
x = 60
Find M < A the diagram is not to scale
Answer:
107 i think
Step-by-step explanation:
Let P denote the set of primes and E the set of even integers. As always, Z and N denote the integers and natural numbers, respectively. Find equivalent formulations of each of the following statements using the notation of set theory that has been introduced in this section. (a) 0 is an integer but not a natural number.
Answer:
{0} ∈ Z ∧ {0} ∉ N
Step-by-step explanation:
The notations we can use here are:
∈ = belongs
∉ = does not belong.
∧ = and
So, if we want to say that 0 is an integer, we use:
{0} ∈ Z
if we want to say that 0 is not a natural number, we use:
{0} ∉ N
And, if we want to say both in the same statement, we can use the "and" symbol:
{0} ∈ Z ∧ {0} ∉ N
Find the difference.
(-ab+3a-3) - (3ab+2)
Answer:
3a-4ab-5
Step-by-step explanation:
(-ab+3a-3) - (3ab+2)
Distribute the minus sign
(-ab+3a-3) - 3ab-2
Combine like terms
3a-4ab-5
Answer:
[tex]-4ab+3a-5[/tex]
Step-by-step explanation:
Hi there!
[tex](-ab+3a-3) - (3ab+2)[/tex]
Open up the parentheses
[tex]-ab+3a-3- 3ab-2[/tex]
Combine like terms
[tex]-ab- 3ab+3a-3-2\\-4ab+3a-5[/tex]
I hope this helps!
Which pair of figures has the same number of faces as vertices?
triangular prism and triangular pyramid
triangular prism and rectangular prism
rectangular pyramid and triangular pyramid
rectangular pyramid and rectangular prism
Answer:
Rectangular pyramid and triangular pyramid
Step-by-step explanation:
A rectangular pyramid and triangular pyramid has the same number of faces as vertices
What is a Pyramid?A pyramid is a three dimensional shape (has length, width and height) with a polygonal base and flat triangular faces.
A rectangular pyramid have same number of faces as vertices with each being 5 in number. A triangular pyramid have same number of faces as vertices with each being 3 in number.
Find out more on Pyramid at: https://brainly.com/question/25823102
What is the 22nd term in the sequence: 5, -10, 20, -40, 80......?
Answer:
-10,485,760
Step-by step:
you have to find the pattern which in this case every other positive number is multiplied by 4, as well as the negatives which is multiplied by 4 aswell.
When you go through writing down every number the 22nd one is -10,485,760
