Answer:
207
Step-by-step explanation:
Find the center vertices and foci of the ellipse with equation 2x^3+8y^2=16
Answer:
Step-by-step explanation:
First of all, you have a typo. But that's ok, we can work around it. The equation NOT yet in standard form for an ellipse should be:
[tex]2x^2+8y^2=16[/tex]
Putting it into standard form requires that the right side of the equation equals 1. That means that we need to divide everything by 16 to accomplish that. When we do that, we will get the standard form:
[tex]\frac{x^2}{8}+\frac{y^2}{2}=1[/tex]
The general form is either
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex] or
[tex]\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1[/tex]
where a is ALWAYS bigger than b. So if the bigger denominator is under the x numerator, this is an ellipse that is elongated horizontally. If the larger denominator is under the y numerator, then this is an ellipse that is elongated vertically. As you can see from our standard ellipse equation, the 8 is under the x numerator, so this is a horizontally elongated ellipse.
If [tex]a^2=8,[/tex] then [tex]a=\sqrt{8}[/tex] which is approximately 2.83 units.
If [tex]b^2=2,[/tex] then [tex]b=\sqrt{2}[/tex] which is approximately 1.41 units.
Since the ellipse is elongated horizontally, the a value starts at the center of the ellipse and goes 2.83 units to the right and left of the center; the b value starts at the center of the ellipse and goes 1.41 units both up and down from the center. But what's the center?
In the standard form above involving the h and the k in the numerators, the h and k indicate the coordinates of the center. h is like the x coordinate and k is like the y coordinate. Since our ellipse does not have [tex]c^2=8-2[/tex]a constant in a set of parenthesis for either the x or the y term, the center is at (0, 0). From the center then, we go go both right and left to (2.83, 0) and (-2.83, 0) for the vertices of the ellipse. The co-vertices would be (0, 1.41) and (0, -1.41).
The foci have the formula (h + c, k) for the focal point to the right of the center and (h - c, k) for the focal point to the left of the center. But how do we find c?
[tex]c^2=a^2-b^2[/tex]
We already know that [tex]a^2=8[/tex] and [tex]b^2=2,[/tex] so
[tex]c^2=8-2[/tex] and
[tex]c=\sqrt{6}[/tex]
That means that the foci have the coordinates [tex](\sqrt{6},0)[/tex] and [tex](-\sqrt{6},0)[/tex]
and you're done!!
The sum of the measures of the exterior angles of an n-gon, one at each vertex, is ____
Answer:
The question is asking to complete the passage about the sum of angle of the exterior angles of an n-gon, one at each vertex, and i would say that it should be 360 degree.
Step-by-step explanation:
Share $50 among Tom, Larry and Jim in the ratio 4:7:9. How much money does JIM get?
Answer:
$22.5
Step-by-step explanation:
4x+7x+9x=5020x=50x=2.5Jim gets 9*2.5= $22.5
$50/20=2.5
2.5*4=10
2.5*7=17.5
2.5*9=22.5
Jim gets $22.50
Se pretende tapizar una pared rectangular de 4 m por 5 m, si el centímetro cuadrado de papel tapiz cuesta 0.28 dólares. Calcule el valor a pagar
Answer:
5600 dollars
Step-by-step explanation:
The first thing we must do is calculate the area of the rectangle since the value is given per unit area.
They give it per square centimeter, therefore we must pass the measurements from meters to centimeters, knowing that 1 meter is 100 centimeters:
4m * 100cm / 1m = 400cm
5m * 100cm / 1m = 500cm
Now the area would be:
A = 400 * 500 = 20000
20000 cm ^ 2 would be the area of the rectangular wall, we calculate the value like this:
20000 * 0.28 = 5600
In other words, it has a value of 5600 dollars.
х
-2
-1
0
y
-4
-3
-2
-1
0
2
3
1
Is it a function
y = −4x + 3
Graphing equations in slope-intercept form
Eight swimmers participate in a race in how many ways can the swimmers finish in first second and third place an it be answered using combinations or permutations
Answer:
336
Step-by-step explanation:
To define whether we use permutations or combinations we must define whether or not the order in which we arrange the results matters. If the order matters we use permutations and if the order doesn't matter we use combinations.
In this case, since we are talking about the first places in a competition, order definitely does matter, so we use permutations. Also in permutations it must be indicated if repetition is allowed, in this case not because the same person cannot be in more than one place.
We use the following formula:
[tex]P=\frac{n!}{(n-r)!}[/tex]
where in this case n is the numer of swimmers and r is the number of places we are considering (1st 2nd and 3rd), which is 3 places.
n = 8
and
r = 3
thus the number of permutations is given bt:
[tex]P=\frac{8!}{(8-3)!}\\ \\P=\frac{8!}{5!} \\\\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}\\ \\P=8*7*6\\P=336[/tex]
the answer is that there are 336 ways in which the swimmers can finish in first second and third place
A mathematics Teacher brought 40 expensive calculator at 16400 each and a number of cheaper calculator costing tshs 5900 each. She spent a total of 774,000 ,how many cheaper calculator did she buy
Answer:
20
Step-by-step explanation:
First, let's find how much she spent on the expensive calculators
40 times $16400= $656,000
Now, lets find how much money she had for the cheap calculators.
$774,000- $656,000=$118000
Now that we have her budget (money remaining) for the cheaper calculators, lets divide that by the price for each individual calculator.
$118000/$5900=20
If you like my answer, please mark me as a brainliest! (I am new to this community.)
What is the one shape of cross-section we could create by slicing the sphere?
Answer:D a circle because a sphere is a circular figure
Step-by-step explanation:
Answer:
i think its D
Step-by-step explanation:
Compute |2+8i|.
Need help
Answer:
Step-by-step explanation:
|2+8i|=√(2²+8²)=√(4+64)=√68=2√17
Answer:
2[tex]\sqrt{17\\[/tex]
Step-by-step explanation:
I really need help pleaseeeee answer
Answer: 80 cm^3.
Step-by-step explanation: V = Bh V = 8 cm ⋅ 10 cm V = 80 cm^3.
someone bought a shirt on sale for 25% off the original price and another 25% off the discounted price. If the final price was $16, what was the price before the first discount?
Answer:
28.44$
Step-by-step explanation:
The original price of a shirt is A.
This shirt is on sale for 25% => the price of that shirt after being sale:
P1 = A - A x 25% = A - A x (25/100) = A - A x (1/4) = A x (3/4)
This shirt is discounted one more time for 25% => the price of that shirt after being discounted second time.
P2 = P1 - P1 x 25% = P1 - P1 x (25/100) = P1 - P1 x (1/4) = P1 x (3/4) = A x (3/4)^2
P2 is given to be equal to 16$, then there is an expression:
P2 = 16
or
A x (3/4)^2 = 16
=> A x (9/16) = 16
=> A = 16 x (16/9) = 28.44$
Hope this helps!
If a price decreases by 20% I can calculate 20% of the price and subtract it from the original price or I can calculate it in one step and find blank percent of the original price
Answer:
both statements are fine
Step-by-step explanation:
To find the price of a product after decreasing it, they can be done in the two ways that the statement tells us,
First, calculate that% that was decreased and then subtract it from the original price or simply multiply that original price by the percentage in which the new price would remain.
For example:
let "x" be the original price
in the first case it would be:
0.2 * x and then subtract from x, i.e .:
x - 0.2 * x
in the second case it is:
1 - 0.2 = 0.8
that is, the new price would be 0.8 * x
Please help me with my math question!!!
Answer:
No because it doesn't show the angle?
Step-by-step explanation:
Please help me out with this
Answer:
219362.5
Step-by-step explanation:
219362.5 because 190750÷10=19075
19075÷2= 9537.50
19075+9537.50=28612.50
219362.5+28612.50=219362.5
The graph represents revenue in dollars as a function of greeting cards sold.
A coordinate plane showing Greeting Card Revenue, Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. A line starts at (0. 0) and passes through (2, 8), (4, 16), and ends at (5, 20).
Which equation represents the function shown on the graph?
y = x
y = x
y = 2x
y = 4x
Answer: The equation that represents the graph is y=4x.
Step-by-step explanation: If you plug in just one coordinate in each equation, you will find that these are the following outcomes no matter which coordinate you pick(but I'm picking (2,8) for your view):
y=x , 8=2
y=x , 8=2
y=2x , 8=4
y=4x , 8=8(ONLY CORRECT STATEMENT)
Answer:
y= 4x
Step-by-step explanation:
A school ordered 323 new science books. If each book has 421 pages, how many total pages are there combined in the new science books?
Answer: 135983 pages
Step-by-step explanation:
1 book = 421 pages
323 books = 135983 ( 421 x 323)
Mark me as the brainiest answer
a cube aquarium without alid its internal edge length is 20 cm if the aquarium is made of glass where the thickness of glass is 0.75 cm find the volume of glass
Answer:
Multiply 20 x 0.75 = 15
Step-by-step explanation:
Enter the equation of the circle with C(-7, 2) and containing the point P(-3,5).
A. r= V[(x-7)2 + (y + 2)2]
B. 5 = v[(x - 3)2 + (y + 5)21
C. 5 = V[(x +7)2 + (y-2)21
D. r= V[(x + 3)2 + (y - 5)21
Answer:
c) Equation of the circle
[tex]\sqrt{(x+7)^2+(y-2)^2}=5[/tex]
Step-by-step explanation:
Given center of the circle C(-7,2) and containing the Point P(-3,5)
C P = r
C P = [tex]\sqrt{(x_{2} -x_{1})^2+(y_{2} -y_{1} })^2 }[/tex]
C P = [tex]\sqrt{(-3 -(-7))^2+(5 -2})^2 }[/tex]
C P = [tex]\sqrt{16+9} = 5[/tex]
The radius r = 5
The equation of the circle C(-7,2) and radius =5
[tex](x-h)^2+(y-k)^2 = (r)^2[/tex]
[tex](x-(-7))^2+(y-2)^2 = 25[/tex]
Find the value of x.
need the answer today please.
Thank you.
Answer:
x =8.34654305
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 33 = 7/x
Switching places with the x and the 33
x = 7/ cos 33
x =8.34654305
Answer:
↓ Look below ↓
Step-by-step explanation:
You are given the adjacent side and need to find the hypotenuse. You can use cos to figure this out.
[tex]cos33 = \frac{7}{x}[/tex]
→To get rid of the x in the denominator, multiply everything by x:
[tex]x(cos33 = \frac{7}{x})[/tex]
[tex]xcos33 = 7[/tex]
→Divide both sides by cos33:
x = 8.346
→If it is round to nearest tenth:
x = 8.3
→If it is round to nearest hundredth:
x = 8.35
One lap of racing track measured 5.04 km during a race of 61 laps a driver stopped to refuel after completing 29 laps how far was he from the finish line
Answer:
161.28km
Step-by-step explanation:
Total Laps are 61 Laps
Covered laps are 29 Laps
To be covered is 32 Laps
Each Lap is 5.04 km
Total to be covered is 5.04 x 32 = 161.28 km
Therefore, he was 161.28km away from the finish line.
I need help with this math problem
Answer:section 1 you choose c)rhombus
And the last one is X
Step-by-step explanation:sorry i can't explain but we literally got the same thing to do and i passed but what i tell you is correct
what is the value of x?
find an expression for the nth term of the sequence 1,5,11,19,29
Answer:
Step-by-step explanation:
1,5,11,19,29
the series of numbers :
A 2-A 1 = 5–1=4
A 3-A 2 = 11–5=6
A 4-A 3 =19–11=8 the third term is 8
A 5-A 4= 29-19= 10 the forth term is 10
nth term is 4+(n-1)2.
One of the elephants in the zoo is on a special diet. Every day, the elephant eats the same amount of carrots that the rabbit eats in 1 year (365 days). The rabbit eats the same amount of carrots every day. Together, in one day, the elephant and rabbit eat 122 kilograms of carrots. How many kilograms of carrots does the rabbit eat in one day?
Answer:
1/3 kg.
Step-by-step explanation:
The ratio of the amount of carrots the elephant eats to the amount of carrots the rabbit eats in the same length of time is 365:1.
So if the total they both eat is 122 kg in one day, the rabbit eats 122 * 1/ 366
= 1/3 of a kg,
The largest of the Great Pyramids in Egypt was built with a square base, having edges that measured 754 feet and a height of 418 feet. To the nearest cubic foot, what was the volume of the original structure?
Answer:
79,213,229 ft3
Step-by-step explanation:
The volume of a pyramid is given by the following formula:
Volume = (1/3) * B * h
Where B is the base area and h is the height.
The side of the base is 754 feet, so the base area is:
B = 754^2 = 568516 ft2
Then, the volume of the pyramid is:
Volume = (1/3) * 568516 * 418 = 79213229.33 ft3
Rounding to the nearest cubic foot, we have:
Volume = 79,213,229 ft3
A cell phone company charges $60 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?
Answer:[tex]c=60+0.05d[/tex]
Step-by-step explanation:
Given
Company charges [tex]\$60[/tex] for [tex]1\ GB[/tex] data
and charges [tex]\$0.05/MB[/tex]
If c is the total cost and d represent no of additional megabyte then
Cost is given by the sum of fixed price + additional data charge
[tex]c=60+0.05\times d[/tex]
Therefore final charge is given by
[tex]c=60+0.05d[/tex]
What is half the value of 'm' in the inequality
9-14m>6m-41
Answer:
Hope this is correct
for quadrilateral ABCD, what is the value of y
- 26 degrees
- 48 degrees
- 20 degrees
- 34 degrees
Answer:
A) 26°
Step-by-step explanation:
In quad ABCD
C = 90°
B = 2y
A = 180 - 68
D= 180 - (y+48)
In a quad sum of all angles = 360°
therefore,
A + B + C + D = 360°
90 + 2y + 360 - 68 - y - 48 = 360
90-116+y = 0
y = 26°
One jar can hold 480 g of mung beans. How many at least the same jars are needed to fill 3.8 kg of mung beans?
Answer:
8
Step-by-step explanation:
7 jars will be completely filled with mung beans
and then 7 × 480 = 3.360 g and 3.800 - 3,360 = 440 g will be left so we need another jar
in total we need 8 jars
