Given the equation of the parabola - 36y = ?
The focus of the parabola is:
(0,9)
(-9,0)
(0,-9)
Correct question is ;
Given the equation of the parabola x² = -36y
The focus of the parabola is:
Answer:
Option C - Focus = (0,-9)
Step-by-step explanation:
The equation of the parabola is:
x² = -36y
Thus, y = - x²/36
Using the vertex form,
y = a(x − h)² + k, to determine the values of a, h, and k.
We will have;
y = (-1/36)(x − 0)² + 0
Thus,
a = - 1/36
h = 0
k = 0
The distance (p) from the vertex to a focus of the parabola is gotten by using the following formula.
p = 1/4a
So, p = 1/(4*(-1/36))
p = - 1/(1/9)
p = -9
Now, The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.
Focus is (h, k+p)
Plugging in the relevant values, we have;
Focus = (0, (0 + (-9))
Focus = (0,-9)
Parallel lines s and t are cut by a transversal, r.
Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8.
If the measure of angle 1 is 68°, what is the measure of angle 5?
22°
68°
112°
158°
Answer:
68°
Step-by-step explanation:
Angles 1 and 5 are corresponding angles on parallel lines, hence they are equal
Answer:
B.
Step-by-step explanation:
Sara Bought a computer that was originally priced at $896.The computer was on sale for 12% off. When she bought the computer, a 7% tax was added to the sale price. How much did Sara spend on the computer. Round to the nearest cent!
Answer:
$733.29. Simply because you take $896•0.12 to find the 12% off and then you take that subtracted by the starting total. After you get the 12% off then you multiply that number by .07 to get the sales tax. After you find that then you add the number you got after multiplying to the number you got after taking off the 12%.
Step-by-step explanation:
Write an inequality that best matches this description
Mary has at least 3 times the amount of cash that ashley and oscar have combined
Answer:
[tex]x \geq 3(y + z)[/tex]
Step-by-step explanation:
I am going to say that:
Mary's amount is x.
Ashley's amount is y.
Oscar's amount is z.
Mary has at least 3 times the amount of cash that ashley and oscar have combined
Ashley's and Oscar's combined amount is y + z.
3 times this amount is 3(y + z).
At least 3 times means that z is equal or greater than 3(y + z).
So
[tex]x \geq 3(y + z)[/tex]
Can you work out this math puzzle?
The value of the puzzle is 17
The value of the triangle :
30/3 = 10Value of Circle :
10/2 = 5Value of whole yellow square :
8/2 = 4Value of half-yellow square :
4/2 = 2Using the above information:
Triangle + Circle + half-square
10 + 5 + 2 = 17
Therefore, the solution to the puzzle is 17
Learn more on puzzles : https://brainly.com/question/31416634
#SPJ6
PLEASE HEL0LP ME MY TEACHER IS NOT GOING TO BE HAPPY - MATHS !!!!
Answer:
No
Step-by-step explanation:
Since shape a has 32 squares
And shape b has 42
So b is bigger
does anyone know what is z to the power of 0 and w tot he power of -9? please help me put
Answer:
anything to the power of 0 is 1 but I can't see what the value of w is to answer the next value
Step-by-step explanation:
SOLVE 3/4 +(1/3/1/6) -(1/2)
Answer:9/4
Step-by-step explanation:
3/4 + (1/3/1/6) - (1/2)
3/4 + (1/3 ➗ 1/6) - 1/2
3/4 + (1/3 x 6/1) - 1/2
3/4 + ((1x6)/(3x1)) - 1/2
3/4 + (6/3) - 1/2
3/4 + 2 - 1/2
(3+8-2)/4
9/4
donovan bought 5.5 kilograms of flour for $8.25. how much does 1 kilogram of flour cost?
Answer:
$1.50
Step-by-step explanation:
Answer:$1.5
Step-by-step explanation:
5.5kg cost $8.25
1kg cost __
1kg cost 8.25/5.5
1kg cost $1.5
6th grade math! Help me please :))
Subtract 48-19=29 Correct me if I'm wrong.
That means it's 29 cups.
Answer:
29 cups
Step-by-step explanation:
step 1: since the liquid in the photo is shown to go up to between 18 and 20, it has to be 19 cups.
step 2: so she had 48 cups, right? and she used 19. so we have to subtract 19 from 48.
step 3: 48-19 = 29. she has 29 cups left..
i hope this helps!
Thirty percent of students in a calculus class and twenty percent of students in a statistics course receive A’s. Furthermore, 60 percent of students with an A in calculus receive an A in the statistics course. What is the probability that a student who receives an A in statistics will also receive an A in calculus?
Answer:
90% probability that a student who receives an A in statistics will also receive an A in calculus
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: A in statistics.
Event B: A is calculus
Twenty percent of students in a statistics course receive A’s.
This means that [tex]P(A) = 0.2[/tex]
Furthermore, 60 percent of students with an A in calculus receive an A in the statistics course.
Thirty percent of students in a calculus class receive an A.
This means that [tex]P(A \cap B) = 0.6*0.3 = 0.18[/tex]
What is the probability that a student who receives an A in statistics will also receive an A in calculus?
[tex]P(B|A) = \frac{0.18}{0.2} = 0.9[/tex]
90% probability that a student who receives an A in statistics will also receive an A in calculus
If II m,what is the value of x
Answer:
110
Step-by-step explanation:
Answer:
137
Step-by-step explanation:
i did this on i-ready :>
Two datasets arranged in descending order are; {8,x , 4,1} and {9,y , 5,2}. If the medians of the two given datasets are equal, what is the value of ( y-x)^2?
Answer:
1Step-by-step explanation:
Median of a dataset is the value at the centre of the dataset after rearrangement.
Given the data {8,x , 4,1}, the median of the set will be two values(x and 4). Since we have two values as the median, we will take their average.
Median of the first data set = x+4/2 ...(1)
For the second dataset {9,y , 5,2}, the median will be y+5/2
Since we are told that the medians of both datasets are equal, we will equate the value of the medians of both datasets as given below;
x+4/2 = y+5/2
cross multiplying;
2(x+4) = 2(y+5)
Dividing both sides by 2 will give;
x+4 = y+5
From the resulting equation;
y-x = 4-5
y-x = -1
(y-x)² = (-1)² = 1
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! Show your work!
Answer:
P represents the population in year 0
Step-by-step explanation:
The exponential growth function is f(x) = a (1 + r)^t, where a is the initial
amount (at t = 0), (1 + r) is the factor of growth , r is the rate of growth
in decimal ant is the time of growth
the function C(t) = P(1 + r)^t represents the population of
centerville at year t, where P is the initial population and r is the
rate of increase
If your investment is increased 10% annually, then that means
each year, your total has multiplied itself by 110% (the growth factor
is 1 + 10/100 = 1.1)
(1 + r) is the factor grows each year
C(t) = P(1 + r)^t
C depends on P(starting population) , r(the increasing rate and
t(the time in year)
r is the rate of increase means the percentage of increasing , then
0 < r < 1
r is not less than 0
P is the initial amount when t = 0
P represents the population in year 0
Answer:
P represents the population in year 0
Step-by-step explanation:
Simplifying products and quotients of powers
7^2•7^8/7^4=7^a/7^4=7^b
A=
b=
Answer:
a=10
b=6
Step-by-step explanation:
add 2 to 8, to get a, then subtract 4 from 10 to get b
Answer:
10 and 6
Step-by-step explanation:
help please quick 100 points quick tell me what to write please if you now how to do this
Answer:
8 footballs
18 basketballs
36 baseballs
24 softballs
Step-by-step explanation:
Let f = footballs
f = 8
Let b = basketballs
b = 2+2f = 2 +2(8) = 2 +16 = 18
Let B = baseballs
B = 5f -4 = 5(8) -4 = 40-4 = 36
Let s = softballs
s = 6+1/2B = 6+1/2(36) = 6+18 = 24
The total is 86
f+b+B +s = 86
8+18+36+24 = 86
86=86
There are 8 footballs.
Two more than twice the number of footballs are basketballs:
2f + 2 = b
f = number of footballs
b = number of basketballs
In the first statement, there are 8 footballs. So, f = 8
2(8) + 2 = b
16 + 2 = b
18 = b
Therefore, there are 18 basketballs.
Four less than 5 times the number of footballs are baseballs:
5f - 4 = a
f = number of footballs
a = number of baseballs
In the first statement, there are 8 footballs. So, f = 8
5(8) - 4 = a
40 - 4 = a
36 = a
Therefore, there are 36 baseballs.
Six more than half of the baseballs are softballs:
a/2 + 6 = s
a = number of baseballs
s = number of softballs
In the third statement, there are 36 baseballs. So, a = 36
(36)/2 + 6 = s
18 + 6 = s
24 = s
Therefore, there are 24 softballs.
Best of Luck!
There are 14 math teachers and 26 science teachers at
school today. What is the ratio of math teachers to math
and science teachers at school?
Answer: 2.86
Step-by-step explanation:
14+26=40
40/14
Answer:
2.86
Step-by-step explanation:
An oil slick of area 20m^2 tripples in size everyday. Find the time taken for it to exceed 1 hactare in size by firstly representing this information with an appropriate equation.
Answer:
The oil slick area A exhibits exponential growth. Assume time t is measured in days.
dAdt=kA,A0=20,A1=20×3=60
Solve this separable differential equation.
dAdt=kA
∫dAA=∫kdt⟺ln(A)=kt+C
A(t)=A0ekt
Determine the constant k using the initial and first day oil slick area values A0,A1.
A1=A0ek×1 on day one
k=ln(A1A0)=ln(6020)=ln(3)
Substitute the known constant k and A0 into the equation.
A(t)=20eln(3)t
Verify the model A(t) matches the desired oil slick expansion. Does it triple every day?
A(0)=20e0=20
A(1)=20eln(3)1=60=3×20
A(2)=20eln(3)2=180=3×60
A(3)=20eln(3)3=540=3×180
It checks out!
On what day has the oil slick reached 1 hectare? The area is measured in square meters.
1 hectare = 10,000 square meters
10000≤20eln(3)t Solve for t days.
t≥1ln(3)ln(1000020)
t≥5.657 days
Answer
The oil slick reached 1 hectare after about 5+1/2 days.
Step-by-step explanation:
9/4 - 4/3 plz help me
Answer:
11/12
Step-by-step explanation:
Find the common denominator.
4 and 3 both go into 12.
4 goes into twelve three times so multiply the denom and the num.
9/4 = 27/12
3 goes into twelve four times.
4/3 = 16/12
Subtract.
27/12-16/12
= 11/12
Answer: 11/12
Step-by-step explanation:
multiply 3 and 4 to get a common denominator.
multiply 3 by 9 and 4 by 4
this gets u 27/12 and 16/12
subtract.
11/12
1. Which number does NOT represent a whole number?
A 25
B 13
С
150
3
D 3.5
Answer:
D 3.5
Step-by-step explanation:
A number with a decimal can NOT represent a whole number.
An alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less than 10 % 10%10, percent. They abducted a random sample of 400 400400 humans, performed special psychological tests, and found that 14 % 14%14, percent of the sample are rebellious. Let's test the hypothesis that the actual percentage of rebellious humans is 10 % 10%10, percent versus the alternative that the actual percentage is higher than that. The table below sums up the results of 1000 10001000 simulations, each simulating a sample of 400 400400 humans, assuming there are 10 % 10%10, percent rebellious humans. According to the simulations, what is the probability of getting a sample with 14 % 14%14, percent rebellious humans or more?'
Answer:
Probability of getting a sample with 14% rebellious humans or more is 0.0104.
Step-by-step explanation:
We are given that an alien empire is considering taking over planet Earth, but they will only do so if the portion of rebellious humans is less than 10%.
They abducted a random sample of 400 humans, performed special psychological tests, and found that 14% of the sample are rebellious.
Let p = population proportion rebellious humans
The z score probability distribution for sample proportion is given by;
Z = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat[/tex][tex]\hat p[/tex] = sample proportion rebellious humans = 14%
n = sample of humans = 400
p = population proportion rebellious humans = 10%
Now, probability of getting a sample with 14% rebellious humans or more is given by = P( [tex]\hat p[/tex] [tex]\geq[/tex] 14%)
P( [tex]\hat p[/tex] [tex]\geq[/tex] 0.14) = P( [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] [tex]\geq[/tex] [tex]\frac{0.14-0.10}{\sqrt{\frac{0.14(1-0.14)}{400} } }[/tex] ) = P(Z [tex]\geq[/tex] 2.31)
= 1 - P(Z < 2.31) = 1 - 0.9896 = 0.0104
The above probability is calculated by looking at the value of x = 2.31 in the z table which has an area of 0.9896.
Hence, the required probability is 0.0104.
Answer:
It's 0.7% (make sure to include the % sign)
Step-by-step explanation:
Khan Academy
Write the perimeter of the floor plan shown as an algebraic expression in x.
Answer: 8+2x
Step-by-step explanation:
Hi, Perimeter is the distance around a two-dimensional shape.
To calculate it, we have to add all the side lengths of the figure. The missing side is the ? side (right side). To obtain it we have to subtract the top right side length (2) to the left side length (12)
So, the expression is equal to:
P = 12+ (x-4) + (x-12) +2 +(12-2)
P = 12+ x - 4 +x -12+2 +10
P = 12-4-12+2+10+x+x
P =8+2x
I really need help!! HELP ASAP PLEASE!!!
Which figure has an area of 12 square units?
Answer:
Should be the bottom one
Step-by-step explanation:
You can find this by counting. It is the only one with 12 units.
Answer:
Step-by-step explanation:is number 4 i pick it and its correct
Ebony waited more than 56 minutes in the doctor’s office. Which set of steps shows how to write an inequality that represents the number of minutes that Ebony waited?
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as 56 minutes. Write the inequality as x greater-than 56.
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as negative 56 minutes. Write the inequality as x minus 56.
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as Negative 56 minutes. Write the inequality as x greater-than negative 56.
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as 56 minutes. Write the inequality as x = 56.
Answer:
A.
Step-by-step explanation:
Given that Ebony waited for more than 56 minutes, option A summarizes the steps to write the inequality.
First, the term "more than" means greater than which is represented by the inequality symbol, >.
So, let's assume that the inequality variable is x and given that the minute she waited for is more than 56.
Writing this together will give
x > 56.
Hence, from the list of given options, only option A gives the actual representation of the statement; while others are not
Answer:
The answer is A
Step-by-step explanation:
I took the test in edge and got it right! Hope this helps!
1567÷135
plz help 50 points
Answer:
11.60740741
Step-by-step explanation:
Answer:
11.6074074074
Step-by-step explanation:
30 points!
The soccer team knows that if they score at least 8 goals, they will win the game. Which of the following inequalities shows the number of goals the team needs to win.
g ≥ 8 goals
g < 8 goals
g > 8 goals
g ≤ 8 goals
Answer:
g≥8
Step-by-step explanation:
They need at least 8 goals
g≥8
Answer:
g ≥ 8 goals
Step-by-step explanation:
Atleast 8 means greater than or equal to 8
2 x 6.9 - 4.6 + 1.3 =
Answer:
10.5
Step-by-step explanation:
Answer:
Here is the answer:
Step-by-step explanation:
10.5
What is a Regression equation
Answer:
Regression equations can help you figure out if your data can be fit to an equation.This is extremely useful if you want to make predictions from your data- either future predictions or indications of past behavior.For example,you might want to know what your savings are going to be worth in the future.There are several types of regression equations,some of the more common include exponential and simoke linear regression.In elementary statistics,the regression equation you are most likely to come across is the linear form.
how do i solve this?
Answer:
Step-by-step explanation:
What’s the correct answer for this?
Answer:
6 units
Step-by-step explanation:
We find the distance by subtracting the "ends"
=-4-2= -6 (ignoring the negative)
We get
=6
