The values of a, b, h, and k, given the equation below;
[tex]\rm \dfrac{(x-h)^2}{b^2}+\dfrac{(x-k)^2}{a^2}=1\\\\ \dfrac{(x-0)^2}{3^2}+ \dfrac{(x-3)^2}{5^2}=1[/tex]
Given
An ellipse has vertices along the major axis at (0, 8) and (0, –2).
The foci of the ellipse are located at (0, 7) and (0, –1).
EllipseIt can be seen that the major axis is parallel to the y axis.
The major axis points are;
(h, k +a) = (0, 8)
(h, k -a) = (0, -2)
Here, k + a = 8
k - a = -2
Subtracting the equations;
k + a - k + a = 8 + 2
2a = 10
a = 10/2 = 5
The foci are;
(h, k +c) = (0, 7)
(h, k -c) = (0, -1)
Here, k + c = 7
k - c = -1
Subtracting the equations;
k + c -k + c = 7+ 1
2c = 8
c = 8/2 = 4
The foci are given by;
[tex]\rm c^2=a^2-b^2\\\\b=\sqrt{a^2-c^2} \\\\b = \sqrt{5^2-4^2}\\\\b = \sqrt{25-16} \\\\ b =\sqrt{9}\\\\ b=3[/tex]
The equation is;
[tex]\rm \dfrac{(x-h)^2}{b^2}+\dfrac{(x-k)^2}{a^2}=1\\\\ \dfrac{(x-0)^2}{3^2}+ \dfrac{(x-3)^2}{5^2}=1[/tex]
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WILL MARK BRAINLIST
Find 24% of 450.
Answer:
108
Step-by-step explanation:
450*0.24
HELPPPPPPPPPP!!!!!!!
Solve for x in the diagram below.
Answer:
x = 12
Step-by-step explanation:
(6x-2) + 20 = 90
6x-2 = 70
6x = 72
72 / 6 = 12
x = 12
Jake says that there should be a decimal point in the quotient 142.45 divide 1,925 after the 2.
Part A
Which equation shows the best estimate for the quotient?
A: 150 divide 10 = 15
B: 140 divide 10 = 14
C: 150 divide 5 = 30
D: 140 divide 7 = 20
How did u answer this?
Answer:
B
Step-by-step explanation:
If you did 1925 divided by 142.45 you get 13.51 so if you round it you get 14
Tarantulas are one of the largest spiders on Earth. A
tarantula can grow to be about 6.8 centimeters long.
A spitting spider can grow to be about 0.9 centimeters long.
About how much longer are the largest tarantulas than the
largest spitting spiders?
what is area for square
Answer:
l²
Step-by-step explanation:
......................
[tex]\text{Area}=\text{side}\times\text{side}=\text{side}^2[/tex]
help help help help
Answer:
x=30 ; y=60 ; z=120.
Step-by-step explanation:
(we can solve it in a system.)
z+2x=180 => z=180-2x
y+4x=180 => y=180-4x
y+z=180
4x+2x=180 => 6x=180 => x=30
<=>
z=180-2*x=180-2*30=180-60=120
y=180-4x =180-4*30=180-120=60
Graph 0.04x+0.02y=0.08.
Answer:
help me please
Step-by-step explanation:
pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls
A group of friends shared the cost of a printer. If John, Carl and Jason each paid $15, $25, and $112 respectively, then Carl paid what percent of the cost of the printer?
The percent of the cost of the printer Carl paid is 16.45%
The total cost of printerSince John, Carl and Jason each paid $15, $25, and $112 respectively, the total cost of the printer is T = $15 + $25 + $112 = $152
Since Carl paid $25, we need to find the percent of the total amount Carl paid.
Percent Carl paidSo, percent Carl paid = amount Carl paid/total cost × 100 %
Since amount Carl paid = $25 and total cost = $152,
Substituting the values of the variables into the equation, we have
percent Carl paid = amount Carl paid/total cost × 100 %
percent Carl paid = $25/$152 × 100 %
percent Carl paid = 0.1645 × 100 %
percent Carl paid = 16.45%
The percent of the cost of the printer Carl paid is 16.45%
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I do not understand this can y’all help me
n=3
Step-by-step explanation:
24=3n-15
9=3n
3=n
Answer:
n = 13
Step-by-step explanation:
24 = 3(n - 5)
divide each side by 3
8 = n - 5
add 5 to each side
13 = n
check your work
24 = 3(13 - 5)
24 = 3(8)
24 = 24
evaluate each of the expressions in the list for y=5. then, draw lines to match the expression in list A with their equivalent expression in list B
Answer:
so list a is 4 +4y is = 4y-4
4y+1 =5= 1+4y=5
4(y-1)=4(y+1)
Step-by-step explanation:
Answer:
List A: 4+4y=24
4(y-1)=16
4y+1=21
List B: 4y-4=16
4(y+1)=24
1+4y=21
so match 1A with 2B
2A and 1B
3A and 3B
Written as a rate, 32 miles in 8 hours would be ____ miles per hour.
Answer:
4 mph
Step-by-step explanation:
If you divided 32 by 8 you get 4.
30. A store company is going to close one of its two stores and combine all the inventory from both stores. The polynomials below represent the inventory in each store. Which expression represents the combined inventory of the two stores?
Answer:
A
Step-by-step explanation:
hope this helps :)
Find the volume of a prism whose area of base is 15 cm2 and hight is 10 cm
Answer:
Step-by-step explanation:
V = Bh
V = 15(10)
V = 150 cm3
Estimate the unit rate.
283 students in 11 classes
Answer:
So estimate.
Really depends on what needs to be estimated, the answer or the overall equation.
So doing the real one first.
283/11 = 25 8/11
You can’t have “part” of a student so rounding this you can go up since 8 is more then half of 11
So 26 students
If you were to round the overall equation then you’d get
280 / 10 which is 28 students per class
So two options.
A farmer can borrow $8,000 for planting supplies at the
County Co-op for 12 months at a simple interest rate of 9
percent. He can also borrow the same amount from the
City Bank in the County Seat for 12 months at a compound
interest rate of 6 percent.
Compute the missing information in the table:
Answer:
Bank A
interest = 1500*2*0.18= 540$
total owed = 1500+540= 2040$
Bank B
compound interest= 1881.6
total owed = 1500+1881.6= 3381.6$
Step-by-step explanation:
Find the minimum and maximum value for the function with the given domain interval
Step-by-step explanation:
1) the suggested function in the condition is hyperbola, that means
[tex]w_{min}(x)=w_{min}(x_{max}) \ and \ w_{max}(x)=w_{max}(x_{min});[/tex]
2) using this
[tex]w_{min}(x)=w_{min}(\frac{1}{7} )=7;[/tex]
[tex]w_{max}(x)=w_{max}(\frac{1}{12})=12.[/tex]
You started the trail with 550lbs. of food.
You now have 232lbs. of food.
What percentage of your starting
amount do you have left?
Answer:
42%
Step-by-step explanation:
232 divided by 550= 0.42
0.42=42%
PLEASE HELP ASAP DUE 11:59 TODAY PLEASE ANSWER 6 and 7.
-1/4(x+1 2/3)=-2 1/5
Answer:
x=\frac{64}{5}=12\frac{4}{5}
Step-by-step explanation:
1. Simplify the expression
\frac{-1}{4}\cdot\left(x+\frac{12}{3}\right)=\frac{+\left(-21\right)}{5}
Find the greatest common factor of the numerator and denominator:
\frac{-1}{4}\cdot\left(x+\frac{\left(4\cdot3\right)}{\left(1\cdot3\right)}\right)=\frac{+\left(-21\right)}{5}
Factor out and cancel the greatest common factor:
\frac{-1}{4}\cdot\left(x+4\right)=\frac{+\left(-21\right)}{5}
Multiply the fractions:
\frac{\left(-1\cdot\left(x+4\right)\right)}{4}=\frac{+\left(-21\right)}{5}
Expand the parentheses:
\frac{\left(-x-4\right)}{4}=\frac{+\left(-21\right)}{5}
Break up the fraction:
\frac{-x}{4}+\frac{-4}{4}=\frac{+\left(-21\right)}{5}
Find the greatest common factor of the numerator and denominator:
\frac{-x}{4}+\frac{\left(-1\cdot4\right)}{\left(1\cdot4\right)}=\frac{+\left(-21\right)}{5}
Factor out and cancel the greatest common factor:
\frac{-x}{4}-1=\frac{+\left(-21\right)}{5}
Answer:
The answer is x= 7 2/15. So the third one.
Step-by-step explanation:
Hopefully, this was helpful. :)
a convex hexagon has exterior angles of 33°, 38°, 27°, 43°, and 60°. what is the measure of an exterior angle at the sixth vertex.
witch of polygon B,C,D,Eand F are similar to Polygon A. Please choose All that apply
Answer:
Polygon B
Step-by-step explanation:
If you look at polygon B although it looks bigger it's still the same as A
Please, help me. Thanks.
Subject: Hypothesis testing and margin of errors
Answer:
See below
Step-by-step explanation:
Problem 4
[tex]H_0:\mu=145\\H_a:\mu>145[/tex]
The null hypothesis, [tex]H_0[/tex], comes from the fact that the nurse initially thinks that the average height of 7th graders is equal to 145 cm.
The alternative hypothesis, [tex]H_a[/tex], comes from the fact that the average height may be greater than 145 cm since the nurse measured the average height to be 147 cm from the random sample.
Problem 5
[tex]H_0:\mu\geq273\\H_a:\mu<273[/tex]
The null hypothesis, [tex]H_0[/tex], comes from the fact that the manufacturer initially thinks that the mean lifetime of a certain type of batteries is at least 273 hours.
The alternate hypothesis, [tex]H_a[/tex], comes from the fact that the sample taken may show that it's actually less given a sample mean of 270.5 hours.
Problem 6
The mass population data set would be most suitable because the average score of a test comes from all those who have taken the test while the sample is the class with 25 students. That sample represents the population of all those that have taken the test.
Problem 7
Because it would take a lot of time and money to check every single child in Africa, it would make the most sense to use the sample data set where your samples come from each village and those samples have the children from each village.
Problem 8
This is a population characteristic because the sample that Sarah took for the average number of children per family represents the entire population.
Problem 9
This is a sample characteristic because the size of the sample was clearly large, this was a study, and other claims made.
Guys help I literally don’t know how to do this
Answer:
Ok, so to find the volume of a sphere, the volume is 4/3 (3.14 which is pie) times the radius cubed so r^3
so the radius of this sphere is 2 because 4-2=2
Step-by-step explanation:
so now we do 4/3 times 3.14 times 2^3 power=
now first we multiply 4/3 times 2 to the 3rd power bc we dont need to multiply pie (3.14) your answer would be 10.66667 so its 10.66667 pie (3.14) so round 10.66667 it would just be 10.7 because the 7 round up the 6 to a 7. Hope this helps!
3
math
pls help geniuses!!
——————-
-
Answer:
C
= (-1.75,9)
Step-by-step explanation:
Please answer this question correctly thank you
Step-by-step explanation:
9% of 200 = 1840% of 120 = 4845% of 90 = 40.5The area of a rectangle is 17 1/2 square and it’s shorter side is 3 1/2 in. Draw a diagram that shows this information. What is the length of the longer side.?
Answer:
The area of a rectangle is 17 1/2 in and it’s shorter side is 3 1/2in.draw a diagram that shows this information. What is the length of the longer side
Step-by-step explanation:
Q6: Find the first 3 terms of the sequence: a1 = 12, an = 3an-1 – 21
,n>2
Answer:
See below
Step-by-step explanation:
1. 12
2. 15 [3*12-21 = 15]
3. 24 [3*15-21 = 24]
4. 51 [3*24 - 21 = 51]
7x-4y=37 6x+3y=51 please
Step-by-step explanation:
2 equations with 2 variables.
either we use 1 equation to express 1 variable by the other and bring this into the second equation to solve for the second variable.
or we do equation arithmetic (subtract one equation from the other so that one variable disorders in the result, and solve for the remaining variable).
since the factors and constants don't seem to be multiples or share nice factors with each other, I suggest the second way.
7x - 4y = 37
6x + 3y = 51
multiply the first equating by 3, and the second one by 4, and then add both equations :
21x - 12y = 111
24x + 12y = 204
------------------------------
45x + 0 = 315
x = 7
then we use one of the original equations to get y :
7×7 - 4y = 37
49 - 4y = 37
12 = 4y
y = 3
One equation in a system of equations with no solution is y=-20 +5.
Which equation could be the second equation in the system?
Answer:
the answerr is i9 dont know haha bum
Step-by-step explanation:
hahay
Answer:
B. 2x + y = 8
Step-by-step explanation:
y = -2x + 5 matches with 2x + y = 8, as they have same slope of "-2".
There you go, it is the second equation with y = -2x + 5.