Answer: (x^2)/16 + (y^2)/25 = 1
Step-by-step explanation:
According to the problem we can figure out that the center of the ellipse is (0,0).
Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.
If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2
We get b^2 is 16
Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.
A line segment of length k is divided into 3 equal parts what is the distance between midpoints of the first and third segments
Line segment of length k is divided into 3 equal parts.
so first segment is 0-k/3 and third segment is 2/3k-k
so mid-pt of 1st = k/6 and 3rd = 5/6k
so the distance in between = 5/6k-k/6 = 4/6k = 2/3k
HELP PLEASE
will mark brainliest
Can someone help me with this one please
Answer:
1.)no
2.)yes
3.)yes
4.)no
5.)yes
6.)no
7.)yes
8.)yes
9.)no
10.)no
11.)yes
12.)yes
13.)yes
14.)no
15.)no
16.)yes
17.)no
18.)yes
19.)no
20.)no
21.)yes
22.)yes
23.)yes
24.)yes
Step-by-step explanation:
i hope that helps..
f(x)=4x^2+2x-6.find the range of function f(x).
Answer:
y ≥ 6.25
Step-by-step explanation:
f(x)=4x²+2x-6
positive (4) leading coefficient, curve is left up and right up
x coordinate of vertex: x = - b/2a = - 2/2*4 = - 1/4 (-0.25)
y = 4*(-1/4)² + 2*(-1/4) - 6 = -6 1/4 (-6.25) ... extreme
range: y ≥ - 6.25 [-6.25,∞)
9x + 15 > 3- 3x what’s the solution and steps
please help this is for my study guide thanks!
Answer:
-23/40, 9/24, 20/32, 7/8, 10
Step-by-step explanation:
Can anyone help me with this question
Answer:
The last one.
Step-by-step explanation:
Just do the things inside the ()'s first. Then work your way out. Hope this helped!
What is cos(338)? Solve by hand, no calculator.
Correct answer gets BRAINLIEST.
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Answer:
0.927184
Step-by-step explanation:
Assuming you want cos(338°), it is equal to cos(22°). This value is an irrational root of a 26th-degree polynomial. (Neither the polynomial, nor the root are easy to find by hand.)
The values of trig functions for 30° and 45° are well-known, as are half-angle and angle sum/difference formulas. The nearest angle for which cosine is relatively easy to find is 22.5°. A 2nd-order Maclaurin series expansion of the cosine function about that angle gives the approximation ...
cos(x) ≈ cos(π/8)(1 -π²/128) +π/8·sin(π/8) +(π/8·cos(π/8) -sin(π/8))x -1/2·cos(π/8)x²
For your angle of 22°, the value of x needed in this expression is 11π/90. The values of cos(π/8) and sin(π/8) are the irrational numbers ...
cos(π/8) = √(2 +√2)/2 ≈ 0.92387953
sin(π/8) = √(2 -√2)/2 ≈ 0.38268343
If you use the approximation pi ≈ 355/113, both for the above formula and for the angle of interest, this reduces to the sum ...
cos(22°) ≈ 71√(2-√2)/16272 +132383951√(2+√2)/264777984
This would be tedious to calculate by hand, but is not impossible. The value this sum produces will be correct when rounded to 7 decimal digits.
__
Before calculators, trig function values were found in published tables. These days, tables are available on-line. Previously, they were published in books, usually along with information that helped with interpolation between table values, when necessary. The attachment shows a portion of an online cosine table suitable for answering your question.
_____
Additional comment
Before calculators, mathematicians spent lifetimes calculating accurate trig tables. For all but a very few angles, the cosine function of rational degree values will be an irrational number, as it is for cos(22°).
Under what circumstances may a health insurer charge a higher premium to a woman with a genetic disposition to breast cancer? a) Her mother has breast cancer but she doesn't. O b) She has breast cancer. c) Her sister has breast cancer but she doesn't. d) Health insurers can never discriminate based on genetic information in this way.
Answer:
i think all can be corrected. and all r right
10(2x - 5) = -60
Pls
a. At 9am, the temperature was 34 degrees be
At 8pm, it dropped 6 degrees. What was the ending temperature?
b. At 6am, the temperature was 65 degrees above zero, by 2pm it dropped 17
degrees. At 6pm it dropped another 10 degrees. What is the ending
temperature?
Answer:
hi I need help
Step-by-step explanation:
Please help me with this question now
Answer:
1. Cheque and Debit card
2. Saving account and Chequing account
3. Routine transaction and Transaction register
4. NSF cheque
5. Overdraft protection
6. Financial situation
Step-by-step explanation:
What is the surface area of the victory podium shown here? Include all surfaces of the podium, including the bottom.
Answer:
Step-by-step explanation:
Face perimeter is
7.5 + 4(1.5) + 3(2.5) = 21 ft
Perimeter wall area
21(1.5) = 31.5 ft²
Face area (x2 for front and back)
2(7.5(1.5) + 2.5(1.5)) = 30 ft²
Total surface area
31.5 + 30 = 61.5 ft²
You get paid $10 an hour. How many hours do you gotta work till you make $5000
Answer:
500 hrs equal to 5000 dollars
solve pls brainliest
Answer: 8>a
Step-by-step explanation:
If 8 is greater than a, then this symbol > would be pointing at the 8. Think of it as a hungry mouth. It would rather have more food then less food, which is why is points at the 8.
Create and solve another problem about jeremiah and his lemonade stand which requires multiplying decimals
Answer:
Step-by-step explanation:
write six multiples of 2/5
7. Michael deposited $200 into his bank account. He then wrote checks for
$20 and $30. Then he deposited $40 dollars more. Which of the following
represents the changes in the value of Michael's account?
a) 200 - 20-30 + 40
b) 200 - 20 + 30 + 40
c) 200 + 20 - 30 - 40
d) 200+ 20 - 30 + 40
Answer:
a) 200-20-30+40
Step-by-step explanation:
represents the changes in the value of Michael's account is d) 200 + 20 - 30 + 40.
Step-by-step explanation:
Known :
Michael deposited $200 into his bank account, He then wrote checks for $20 and $30, Then he deposited $40 dollars more.Asked :
Which of the following represents the changes in the value of Michael's account?
Answered :
$200 + $20 - $30
= 200 + 20 - 30 + 40.
Help?
Slope= 9, (-5,2)
Two baseball teams are playing each other twice. Enter the values to complete the possible outcomes for one team. Use W for a win and L for a loss. Then enter the number of outcomes in the sample space.
Answer:
2+2+2 x 2 so 12
Step-by-step explanation:
well since there’s two teams either of thme could win or lose or tie I think I’m I wrong though I’m really tired so
Which number is a perfect cube?
03
O 15
064
0 567
Look at the two graphs. Make two statements that compare/contrast the two graphs.
Answer:
both same as in the diffecnce of the number of addition
Step-by-step explanation:
Write the equation of the line that passes through the points (3,-2) and (-2,8).
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's find the slope (m) of line passing through points (3 , -2) and (-2 , 8) :
[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \dfrac{ - 2 - 8}{3 - ( - 2)} [/tex][tex] \dfrac{ - 10}{5} [/tex][tex] - 2[/tex]slope (m) = -2
now, let's plug the value of slope (m) and coordinates of point (3 , -2) to find c (y - intercept)
[tex]y = mx + c[/tex]
[tex] - 2 = (3 \times - 2) + c[/tex][tex] - 2 = - 6 + c[/tex][tex]c = - 2 + 6[/tex][tex]c = 4[/tex]Y - intercept of the given line is 4, so the required equation will be :
[tex]y = - 2x + 4[/tex]Hey ! Can anyone help with this question please and thanks
Answer:
x=9
Therefore angles 7x-4 = 6x-4 = 59 degree
Step-by-step explanation:
7x-4 = 6x-4 Findings; alternate angles
Although any coefficient angles can be set = to each other.
7x-6x-4 = +5 Subtract 6x from both sides
x -4 = 5
x = 5+4 Add 4 to each side
x = 9
Find the angle degree
6(x) + 5 = 7(x) - 4 Plug 9 in to x
6(9) + 5 = 7 (9) - 4
54 + 5 = 63-4
59 = 59
x = 59 degree.
7. A caterer knows there is one broken egg in every 3 cartons. A carton contains 12 eggs.
A caterer plans to serve 1200 eggs. What is the best estimate the number of cartons the caterer should buy?
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Answer:
103
Step-by-step explanation:
For 1200 eggs, the caterer needs ...
(1200 eggs)/(12 eggs/carton) = 100 cartons
of unbroken eggs.
The rate of broken eggs is 1 in 3×12 = 1 in 36, so the caterer must buy 36 eggs for each 35 unbroken eggs delivered.
Then the number of cartons that must be purchased is ...
(100 cartons)(36/35) = 102 6/7 cartons
The caterer should buy 103 cartons of eggs.
Fourteen less children's meals were served
than adult meals at a barbecue. Children's
plates were $1.50 each and adults' plates
were $2.00 each. If the total amount of
money collected was $441, how many of
each type of plate was served?
The base of a trangle with a height of 7 units is represented by the formula b+2/7A. The base or a triangle is less than 10 units. Write and solve an Inrquality that represents the possible area A of the triangle
Step-by-step explanation:
hdhebrvd0jdjbrvrbdjxjdndbxbdje I veebjdxhyxhdnebeve
3+2-1+[(5+2-3+10-4)+(2+7-6):(5+2-8)+3]
Answer:
= 14/1
= 14
Step-by-step explanation:
Note that a change can be an increase or a decrease.
For an increase, use a positive number.
For a decrease, use a negative number.
(a) Laura pumped 7 gallons of water into her pool each minute for 14 minutes. What was the total change in the amount of water in the pool?
Answer:
7 gal/min * 14 min = 98 gallons
Step-by-step explanation:
at what ordered pair do the lines x=4 and y=-3 intersect?