Answer:
Option C: x = (1/36)*y^2
Step-by-step explanation:
A horizontal parabola is written as
x = f(y) = a*y^2 + b*y + c
If a is positive, the parabola opens to the right.
if a is negative, the parabola opens to the left.
And the vertex of the parabola has the y-value:
y = -b/2a
and the x value
x = f(-b/2a)
For our parabola, we know that:
Opens to the right:
Then the only options left are:
C) x = (1/36)*y^2
D) x = (1/6)*y^2
Because in both cases b = 0, both of the equations have the vertex in the point (0, 0).
Now let's see wich one has a focus at (9, 0)
If the vertex of our equation is:
(h, k)
Then the focus will be:
(h + a, k)
Where a is the directrix of the equation.
Here we know that the vertex is (0, 0) and the focus is (9, 0)
Then:
(0 + a, 0) = (9, 0)
The directrix is 9.
And the directrix is such that:
(x - h)^2 = 4*a*(y - k)
Replacing the values of h and k (both are zero) we get:
x^2 = 4*a*y
And we know that: a = 9
x^2 = 4*9*y
x^2 = 36*y
if we isolate y, we get:
(1/36)*x^2 = y
This is option C.
Then the correct option is C.
The population of Arlington High School can be modeled using the equation P(t)=3,500(1.027)^t , where t represents the number of years since 2010. Is the population of Arlington High increasing or decreasing? Explain how you can tell using the equation. What would the population be after 29 years?
The population of Arlington High is increasing. Then the population of Arlington High school after 29 years will be 7579.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
The population of Arlington High School can be modeled using the equation
[tex]\rm P(t)=3,500(1.027)^t[/tex]
Where t represents the number of years since 2010.
The population of Arlington High is increasing. Because b > 1.
Then the population of Arlington High school after 29 years will be
P(27) = 3500 (1.027)²⁹
P(27) = 7578.98
P(27) ≈ 7579
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
Three plus the number a is greater than or equal to 19
Answer:
a[tex]\geq[/tex]16
Step-by-step explanation:
3+a[tex]\geq[/tex]19
-3 -3
a[tex]\geq[/tex]16
(see below) (The line I drew represents where a is and if it is to be greater or equal to it must be 16 or over)
How much points do you need to pass your algebra 1 class?
Answer:
You can have a D in your class to pass but if you have a F then you dont pass the class
Step-by-step explanation:
CAN SOMEONE HELP ME PLZ NO LINKS
Answer:
length = 2w - 3
l = length
w = width
2(length) + 2(width) = perimeter
2(2w - 3) + 2(w) = 60
6w -6 =60
w = 11
len = 2(11) - 3
Step-by-step explanation:
Here is a list of numbers:
10, 16, 19, 16, 2, 4, 8 ,16 ,20
State the median.
Answer: the median is 16
Step-by-step explanation:
Mason is training for the javelin-throw event. A coach created
a graph that shows the height of the javelin over time for
Mason's best throw.
Height (meters)
ONO O NA
5
3 4
Time (seconds)
How many seconds did it take for the javelin to reach its
greatest height?
4.1 s
B В
1.3 s
C
13 s
2 s
It needs to be 2s if you look at the graph it should show
Answer:
2 seconds
Step-by-step explanation:
Cody purchased a car for $4500 that will depreciate 28% a year. Write an exponential growth/decay equation that represents the value of Cody's car overtime. How much will the car be worth in 15 years? Round to the nearest cent.
Answer:
$32.60
Step-by-step explanation:
This question has to to do with exponential decay. The formula is given as:
y = a(1 - r)^x
y = Value of the material after x years
a = Initial value of the material
x = Time in years
r = rate of depreciation or decay
Therefore,
y = 4500 × (1 - 0.28)¹⁵
y = 4500 × 0.72¹⁵
y = $32.598675906
y = Approximately = $32.60
Therefore the of the car after 15 years = $32.60
Help please. I need an answer quick please.
“Select all the graphs that show a proportional relationship”
Answer:
Step-by-step explanation:
The graphs of all proportional relationships go through the origin. The first graph satisfies this criterion; the second does not.
HELP ASASP ITS 6Th GRADE MATH
Answer:
We are learning this in 7th grade lol how did you get 7th grade math to 6th grade math
find the value of x in the figure.
explain how to graph y= -3/2 x + 4
Answer:
y = 3 x - 4
Step-by-step explanation:
Using the data in the table below, what is the constant rate of change, k?
PLS HELP ASAP! (11 POINTS)
Tanesha is mixing paint. She mixes 250 ml of white paint with 750 ml of red paint and 1200 ml of yellow paint. Work out the ratio of white to red to yellow paint. Write the answer in its simplest form
Answer: [tex]5:15:24[/tex]
Step-by-step explanation:
Given
Tanesha mixes 250 ml white, 750 ml red, and 1200 ml yellow paint
So, the ratio of white, red, and yellow paint is
[tex]\Rightarrow 250:750:1200\quad [\text{cancel by 25}]\\\Rightarrow 10:30:48\quad \text{[cancel by 2]}\\\Rightarrow 5:15:24[/tex]
The ratio of three paints is [tex]5:15:24[/tex].
guyzz pls help. my cuzzies have been arguing whether the answer is 96 or 104.
Answer:
it's 104.
mark me brainliestt :))
Type the correct answer in each box. Use numerals instead of words.
This table represents function f.
х
-3
2
3
7
у
-2
8
10
18
Complete this table to represent the inverse of function f.
Answer:
-3 2 3 7
Step-by-step explanation:
The answer is above
Mikala bought an 18-kilogram bag of dog food. Her dogs eat 2 kilograms of food every 3 days. At this rate, how many days will it take Mikala’s dogs to eat all 18 kilograms of food?
Answer:
27
Step-by-step explanation:
Help me please I will give you a heart and rate if u do.
Answer:
(B). 1240 cm²
Step-by-step explanation:
Kevin needs 2/3 of a yard to make a pillow. he has 3 1/3 yards of fabric. How many pillows can he make?
Answer:
5 pillows
Step-by-step explanation:
3 1/3 also = 10/3
10/2 = 5
5/1 · 2/3 = 10/3
10/3 = 3 1/3
Answer:
5 pillows
Step-by-step explanation:
Divide the total amount of yards by the number of yards to make a pillow to get the number of pillows Kevin can make.
[tex]3 \frac{1}{3} /\frac{2}{3} =\frac{10}{3} /\frac{2}{3} =\frac{10}{3}*\frac{3}{2} =\frac{30}{6} =5[/tex]
A soccer field is a rectangle 160 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. Use Pythagorean Theorem to determine how far the players run?
Answer:
200 meters
Step-by-step explanation:
a² + b² = c²
c² = 120² + 160²
c² = 14,400 + 25,600
c² = 40,000
√(c²) = √(40,000)
c = 200
Answer: 200 meters
An equation is a math sentence. Which letter(s) represent only an expression, not a complete math sentence? (Could be more than one answer.)
1. 3y=14
2. x-6
3. a/7=6
4. 3 + 5b
5. 12=0.8(5) + c
6. 6/p + 0.5-2/3(p)
Answer:
2, 4, 6 are expressions
Step-by-step explanation:
A math sentence has a verb: "is equal to" It could also be some other, similar phrase, such as "is less than" or "is not equal to," for example.
An expression has no verb!
x - 6 Say it out loud. See? No verb. It's like saying "that evil neighbor of mine" without saying anything more. Yes? Did what? Is what? Compares to what?
2. Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $ 1.25, and the total was $ 18.20, what was the price of one hot dog?
Answer:
1.65$
Step-by-step explanation:
18.20$ (total price) - 4×1.25$ ( chips price) = 13.2$
13.2$ ( price of 8 hot dog)
price of one hot dog= 13.2$ ÷8= 1.65$
find the perimeter of the triangle
Answer:
73.7
Step-by-step explanation:
14 +14 +23+22.7=73.7
The number of wins in a season for 32 randomly selected professional football teams arelisted below. Construct a 90% confidence interval for the true mean number of wins in a season.
Mean(x) = sum of 32 observations / 32 = 7.97
Standard deviation( sd )=2.62
Sample Size(n)=32
Confidence Interval = [ 7.97 ± Z a/2 ( 2.62/ Sqrt ( 32) ) ] = [ 7.97 - 1.64 * (0.4632) , 7.97 + 1.64 * (0.4632) ] = [ 7.2,8.7 . What are the steps used to solve this? How did they find their Standard Deviation? Also what does the Z stand for in the confidence interval?
Answer:
A)CI 90 % = [ 7,2103 ; 8,7297]
B) s = √ ∑(xi - xp)²/n-1
c) z is the score for the given significance level in this case is 1,64
Step-by-step explanation:
For a confidence Interval of 90%, the significance level is α = 10 %
α = 0,1 α/2 = 0,05 and from z-table we find z(c) for 0,05 z(c) = 1,64
CI 90 % = [ x ± z(c) * s/√n ]
CI 90 % = [ 7,97 ± 1,64 * 2.62/√32]
CI 90 % = [ 7,97 ± 0,7597]
CI 90 % = [ 7,2103 ; 8,7297]
B) To calculate the standard deviation of the sample the equation is:
s = √ ∑(xi - xp)²/n-1
xi - xp is the difference between each one of the elements of the sample
xp is the mean or average of the elements of the sample and n is the sample size
The Garrett family traveled 1,280 miles in 4 days on their driving vacation.
If they traveled the same number of miles each day, how many miles did they travel in 1 day?
325
330
335
320
340
Answer:
320
Step-by-step explanation:
Please help,, I'll mark as brainliest if correct
the answer is, the number of packages of corn purchased
Answer:
C. The number of packages of corn purchased.
Step-by-step explanation:
We have been given that a store sells four 1 1/8-pound ears of corn in a package for $3.59. The expression represents the cost of the corn for a number of packages.
Since the cost of each package of corn is $3.59 and represents the cost of 'p' packages of the corn. So 'p' represents the number of packages of corn purchased.
HELP ILL GIVE BRAINLEST its my e+am <3
Answer:
Think its D
Step-by-step explanation:
Anyone watch anime? If you do plz answer lol, have a good day :)
Answer:
MYSTREET AND MY INNER DEMONS YES
Step-by-step explanation:
watch them
When using the ___ method to determine pricing, a manager my use an approved operating budget to choose a
desired food cost percentage.
highest price
food cost percentage markup
profit pricing
loss-leader
Answer:
2
Step-by-step explanation:
Please help I have the answer but please make it look like I did the problem 31 divided by 155
Answer:
Step-by-step explanation:
155 divide by 31=5
Answer:
1/5 or 0.2.
Step-by-step explanation:
31 / 155
Now 155/31 = 5
so the answer is 1/5.
P(A) = 7/20 P(B) = 7/20 P(A or B) = 49/80, P(A and B)= ?
Answer:
P(A and B) = 7/80
Step-by-step explanation:
The given values of the probabilities of the different events are;
P(A) = 7/20
P(B) = 7/20
P(A or B) = 49/80
P(A and B) = Required
We have by probability theory for any event;
P(A or B) = P(A) + P(B) - P(A and B)
Therefore;
P(A and B) = P(A) + P(B) - P(A or B)
Plugging in the values gives;
P(A and B) = 7/20 + 7/20 - 49/80 = 7/80
∴ P(A and B) = 7/80