Answer:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Step-by-step explanation:
The equation of the ellipse with centre at origin and major axis along the x-axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:
a² = c² + b²
Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).
Hence c = 4100
Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.
a = 2c = 2(4100) = 8200 miles
We can get the distance from the center to the minor axis vertices (b), using:
a² = c² + b²
8200² = 4100² + b²
b² = 8200² - 4100²
b² = 50430000
b=√50430000
b = 7101.4 miles
The ellipse equation is:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Answer:
[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]
Step-by-step explanation:
Tory read her book and rate of 4/5 of a chapter her 2/3 of an hour. How many chapters can she read in one hour
Answer: She can read 1.2 chapters of her book in one hour.
Step-by-step explanation:
When we have a relation of: "doing something" in a given "amount of time"
The rate at which you can do that activity per unit of time is:
R = (how much you did)/(time it took)
In this case, we know that
"Tory reads 4/5 of a chapter in 2/3 of an hour"
Then the rate, in this case, could be calculated as:
R = (4/5 chapters)/(2/3 hour) = 1.2 chapter per hour.
This means she can read 1.2 chapters of her book in one hour.
Hey there, I really need help! I don't understand how to solve this. PLEASE HELP ME!!
Answer:
B
Step-by-step explanation:
Need help please identify the lines is it chord, secant, tangent, radius, or diameter.
y'all I need help asap
Answer:
Let's solve for x.
4x+5y=7
Step 1: Add -5y to both sides.
4x+5y+−5y=7+−5y
4x=−5y+7
Step 2: Divide both sides by 4.
4x/4=−5y+7/4
x=−5/4 y+ 7/4
Answer: for the first one x=−5/4 y+ 7/4
3x−2y=−12
Step 1: Add 2y to both sides.
3x−2y+2y=−12+2y
3x=2y−12
Step 2: Divide both sides by 3.
3x/3=2y−12/3
x=2/3y−4
Answer:
x=2/3y−4
Step-by-step explanation:
A cell phone plan costs $200 to start. Then there is a $50 charge each
month. What is the total cost (start-up fee and monthly charge) to use the
cell phone plan for 3 months? *
O $150
$200
O $350
$750
Answer:
750
Step-by-step explanation:
200+50=250
250x3+750
Function 1 is defined by the equation p= --3/2r - 5. function 2 is defined by the following table. Which function has a greater y-intercept. A: Function 1 B: Function 2 C: The functions have the same y-intercept.
The y-intercept of function 1 is -5.
The y-intercept of function 2 is -5.
Option C is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Consider the function to be in the form of p = mr + c
Where x is the y-intercept.
Function 1.
p = (-3/2)r - 5 _______(1)
y-intercept = -5
Function 2.
Let p = mr + c
Take two pairs from the table.
(0, -5) and (1, -6.5)
m = (-6.5 + 5) / (1 - 0) = -1.5
(0, -5) = (r, p)
-5 = -1.5 x 0 + c
c = -5
Now,
p = -5x - 5 ______(2)
y-intercept = -5
From (1 ) and (2)
Both have the same y-intercept.
Thus,
Function 1 and Function 2 have the same y-intercept.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Please help. Pleaaseeeeeee :))
Answer:
H:Median
Step-by-step explanation:
We know that Median means the middle, and we know that lines AB or in the middle of the page.
Sandra wrote the sequence shown:
7, 14, 25, 40, 59
Complete each of the 2 activities for this Task.
Activity 1 of 2
What explicit expression can be used to find the nth term of this sequence?
Answer:
2n^2 + n + 4.
Step-by-step explanation:
7, 14, 25, 40, 59
The differences are 7, 11, 15, 19 which is arithmetic sequence so the given sequence is quadratic.
Compile a table:
n 1 2 3 4 5
term 7 14 25 40 59
Diff: 7 11 15 19
Diff: 4 4 4 - this indicates that first part is 2n^2.
2n^2 2 8 18 32 50
term-2n^2 5 6 7 8 9
- the nth term for the last sequence is 5+ (n - 1)d =
= 5 + (n - 1)* 1
= n + 4.
So nth term for the original sequence is 2n^2 + n + 4.
-9.b = 45
b =
What is the answer I need to know the answe
Answer:
b=-5
Step-by-step explanation:
Divide by -9 to eliminate the -9 on -9b
(Since -9b is the same thing as -9 times b we can use the inverse of multiplication which is division to eliminate the -9 from b but we need to do it on both sides to make it balance)
-9b/-9=45/-9
b=-5
Mayra bought x grams of rice.
Anika bought 5
more than Mayra bought.
Select ALL of the equations that represent the relationship
between the amount of rice that Mayra bought, x, and the
amount of rice that Anika bought, y.
(Select all that apply)
Answer:
[tex]y = 5 + x[/tex]
[tex]y - x = 5[/tex]
[tex]x = y - 5[/tex]
Step-by-step explanation:
No options were given but the question can still be solved
Given
From the first statement, we have:
[tex]Maria = x[/tex]
From the second, we have:
[tex]Anika = 5\ more[/tex]
Required
Determine the relationship between the amount of rice they bought
5 more means 5 + Maria.
So, [tex]Anika = 5\ more[/tex] becomes
[tex]Anika = 5 + Maria[/tex]
Substitute x for Maria
[tex]Anika = 5 + x[/tex]
For proper expression, let Anika be y
[tex]y = 5 + x[/tex]
Subtract x from both sides
[tex]y - x = 5[/tex]
Make x the subject
[tex]x = y - 5[/tex]
can someone please help with this? will give brainliest
Answer:
0.004
Step-by-step explanation:
Just mutiply and divide by 2
Please... I just gave out 70 points and no one helped me. They just took the points and left
7. A computer software manufacturer wanted to know if its customers were satisfied with
the graphics in a new game program called Zinger they released six months ago. The
company randomly polled 1000 of the 50,000 people who had purchased the program.
Here is part of the results of the poll:
Zinger Program Graphics Percent
Satisfied with Graphics 42%
Not Satisfied with Graphics
No Opinion 13%
a. What percent of the 1000 game users surveyed were not satisfied with the graphics
of Zinger? (2 points)
b. Based on the survey findings, how many of the current 50,000 game users would the
company expect to not be satisfied with the graphics or to have no opinion? (3
points)
c. Based on the survey findings, the software manufacturer has decided to create a new
version of the game program with improved graphics. Why did they make this
decision? (2 points)
Please I don't have any more points
Answer:
A)
45% of customers were not satisfied with the graphics.
B)
22,500 people are expected to not be satisfied with the graphics.
6,500 people are expected to have no opinion.
C)
The majority of people are unsatisfied with the graphics.
Step-by-step explanation:
The company polled 1,000 out of the 50,000 people who had purchased the program.
42% was satisfied with the graphics.
And 13% had no opinion.
Part A)
When totaled, those satisfied, unsatisfied, and with no opinion should be 100%.
Since 42% are satisfied and 13% have no opinion, this leaves 100 - 42 - 13 or 45%.
So, 45% of customers were not satisfied with the graphics.
Part B)
Since 45% of the polled were unsatisfied with the graphics, 45% of the total 50,000 can also be expected to not be satisfied.
45% of 50,000 is 0.45(50000) = 22500.
So, 22,500 people are expected to not be satisfied with the graphics.
Likewise, 13% had no opinion.
So, 13% of 50,000 is 0.13(50000) = 6500.
6,500 out of the current 50,000 customers are expected to have no opinion with the graphics.
Part C)
Since the majority of people are unsatisfied with the graphics (45% > 42%), it is reasonable to create a new version with improved graphics.
The answers are in the photo. Hope this helps! ;)
A bakery uses 44 cups of flour to make 10 loaves of bread. How many cups of flour are there per loaf?
Answer: 4.4
Step-by-step explanation:
44 divided by 10
Answer:
4.4 cups of flour
Step-by-step explanation:
You would have to divide 44(cups of flour) by 10(loaves of bread) to get the amount of cups of flour for each loaf. 44/10=4.4
PLEASE HELP, I need this test done and something not failed. I dont understand.
Answer:
XVW and WVT
Step-by-step explanation:
Two angles are supplementary angles when the sum of their measures is equaled to 180 degrees.
180 degrees = a line.
YVZ and WVU are Vertical Angles
YVZ and ZVT are not straight lines together.
XVW and WVU are on the same straight line but you have to add UVT in order to get 180.
XVW and WVT are the only ones that look like they can add up to 180 degrees.
XVW and WVT should be the answer, I really hope this helps!
In a right angled triangke abc the perpendicular and the base measure 3 cm find hypotenus and three trignometrice ratios
Given:
In a right angled triangle ABC the perpendicular and the base measure 3 cm.
To find:
The hypotenuse and three trigonometric ratios.
Solution:
Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Use Pythagoras theorem in triangle ABC.
[tex]Hypotenuse^2=(3)^2+(3)^2[/tex]
[tex]Hypotenuse^2=9+9[/tex]
[tex]Hypotenuse=\sqrt{18}[/tex]
[tex]Hypotenuse=3\sqrt{2}[/tex]
The three trigonometric ratios are
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin \theta=\dfrac{3}{3\sqrt{2}}[/tex]
[tex]\sin \theta=\dfrac{1}{\sqrt{2}}[/tex]
Similarly,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos \theta=\dfrac{3}{3\sqrt{2}}[/tex]
[tex]\cos \theta=\dfrac{1}{\sqrt{2}}[/tex]
And,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan \theta=\dfrac{3}{3}[/tex]
[tex]\tan \theta=1[/tex]
Therefore, the hypotenuse is [tex]3\sqrt{2}[/tex] cm and three trigonometric ratios are [tex]\sin \theta=\dfrac{1}{\sqrt{2}}, \cos \theta=\dfrac{1}{\sqrt{2}}, \tan \theta=1[/tex].
(0,5), (1,6), (2,9), and (3,14) are points on the graph of a function. Which of the following equations represents that function?
O A. g(x)= x2 + 5
O B. g(x)=522 +5
O C. g(x)= 3x2 +5
o D. g(x)= x + 5
Answer:
Step-by-step explanation:
It's with c or d I am confused with those two
Solve the inequality for x.
22 >x-5
Answer:
x < 27
Step-by-step explanation:
22 > x - 5
Subtract x from both sides.
-x + 22 > -5
Subtract 22 from both sides.
-x > -27
Divide both sides by -1. Remember that when you multiply or divide an inequality by a negative number, the inequality sign changes direction.
x < 27
To find the median you do not have to arrange the numbers in order from least to greatest (true or false)
Answer:
false
Step-by-step explanation:
you have to order them from least to greatest in order to find the answer
Pls help Factor 4x^3+32
Answer:
Step-by-step explanation:
The greatest common factor they share is 4.
[tex]4(x^3+8)[/tex]
What is the solution to this equation? -6x + 3 = 21 A. X= 4 B. X = -8 C. X = 3 D. X= -4
Answer:x+-3
Step-by-step explanation:
-6x+21-3
-6x=18
please help.[tex]\frac{4}{x+2} +\frac{8}{x+5} -\frac{8}{x+3} -\frac{4}{x+6}[/tex]
I think of a number. I multiply it by 2 and my answer is 24. What was my number?
Need help trying to solve
Answer:
12
Step-by-step explanation:
Brainliest plz trying to level upHELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! WILL MARK THE BRAINLIEST! 20 PTS!
A rectangular prism has a volume of 198 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism. What is the relationship between the volume of the rectangular prism and the rectangular pyramid?
a. The volume of a rectangular pyramid is 3 times the volume of a rectangular prism. The volume of the rectangular pyramid is 594 cm3.
b. The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
c. The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 99 cm3.
d. The volume of a rectangular pyramid is 2 times the volume of a rectangular prism. The volume of the rectangular pyramid is 396 cm3.
Answer:
i need an answer to have you figured it out yet
Step-by-step explanation:
Answer:
B - (Probably)
Step by step explanation:
the Volume of the Pyramid = Volume of Prism / 3
198cm^3 / 3 = 66cm^3
Can u answer this with all of the questions answered pls I’ll give away 30 points
Answer:
4 x 4 = 16
16 ÷ 4 = 4
I cant answer the last bit as I'm not really sure what the options are? If you could tell me then I could probably answer it :)
Step-by-step explanation:
in the diagram below, de is parallel to xy. what is the value of y
What is the value of x?
Original 9 inches - 6 feet
Enlargement 12 inches - x feet
Answer:
Step-by-step explanation:
Which pair of angles are alternate exterior angles ?
8 and 1 are alternate exterior angles.
Answer:
<8 and <1
Step-by-step explanation:
<8 and <1 are both outside of the parallel so they are exterior and opposite to each other which is alternative exterior.
Hope this helps, thank you !!
Can anyone help me pls???
Answer:
It's
Step-by-step explanation:
9a-3b
because 3×3a is 9a and 3×-b is -3b hope this helps
Answer:
8) A 9) B
Step-by-step explanation:
For question 8 just combine like terms, combine the numbers that have the same variables. Number 9, distribute the 3 to the rest of the equation.
Hope this helped :)
Please can you help me on this equation.I just cant seem to solve this though i mostly don't need help.Thank you [tex]\frac{1}{x^2+1} -\frac{x^4}{x^2+1}+\frac{x^4}{x^2-1} -\frac{1}{x^2-1}[/tex]
Answer:
2
Step-by-step explanation:
combine like denominators:
(1-x^4)/(x^2+1)+(x^4-1)/(x^2-1)
factor:
(1-x^2)(1+x^2)/(x^2+1)+(x^2+1)(x^2-1)/(x^2-1)
reduce:
(1-x^2)+(x^2+1)
1+1=2
Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual length of the front lawn is 69 meters. How long is the lawn in the drawing?
Answer:
115mm
Step-by-step explanation:
5/x = 3/69
5/x = 1/23
5*23 = x
115 = x