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.
pls help me out here! ty in advance!!
Answer:
the value for x=50
Step-by-step explanation:
180=74+56+x
180=130+x
x=50
What is the equation of a line parallel to y=-3/2x+9
Answer:
y = - [tex]\frac{3}{2}[/tex]x
Step-by-step explanation:
Parallel lines are two lines that have the same plane and slope but never intersect.
URGET PLEASE HELP
Let f(x) = 5x4 – 2x2 – 8x + 3 and g(x) =
-7x4 + 6x3 + 10x²
x + 4. What is f(x) + g(x)?
Answer:
f(x)+ g(x) = [tex]-2x^{4} + 6x^{3} +8x^{2} -8x+3[/tex]
Step-by-step explanation:
You just have to add the like terms separately,
5-7 in [tex]x^{4}[/tex]
only 6 in [tex]x^{3}[/tex]
10-2 in[tex]x^{2}[/tex]
-8 in x
and 3 as the constant
What is the value of x in the equation 2x + 3y = 36, when y = 6?
08
9
27
36
8. Which choice is chord?
LG
CH
LM
CJ
Answer:
Step-by-step explanation:
LG: is a chord. Are there others?
CH: is a radius. C is the center of the circle.
LM: You have to draw in LM. LM would be a secant. It cuts the circle in exactly two places.
CJ: Anything coming from C and ending at the circumference is going to be a radius.
which statement does not describe a normal distribution?
A: The median is equal to the mean
B: The distribution is not symmetric
C: The number of observations trails off as you move away from the mean
D: Most of the observations are near the mean
Answer:
B.
Step-by-step explanation:
The distribution is symmetric
Answer:
B. The distribution is not symmetric
Step-by-step explanation:
On the same day, Parker’s friend, Peggy, was charged $5 for 1 1/2 lb. of gummy candy. Explain in terms of the graph why this must be a mistake.
Answer:
After a quick online search, I've found that the complete question is:
a) Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs the same amount, complete the table of values representing the cost of gummy candy in pounds.
Then we want to graph the points, and then comes our question:
c) On the same day, Parker’s friend, Peggy, was charged $5 for 1 1/2 lb. of gummy candy. Explain in terms of the graph why this must be a mistake.
So first, we know that this is a proportional relationship (each pound of candy costs the same)
And 0 pounds of candy should cost $0.
Then the relation between y (price) and x (number of lb) is:
y = k*lb
where k is the cost per lb.
Knowing that Parker paid $4.50 for three pounds of gummy candy, the relation is:
$4.50 = k*3lb
($4.50/3lb) = k = $1.50/lb
Then the linear relation is:
y = ($1.50/lb)*x
Now, in this question we can see that Parker's friend was charged $5 for ( 1 and 1/2) lb of candy.
If we replace those values in the equation, we get:
$5 = ($1.50/lb)*(1 + 1/2)lb = $2.25
This equation is false, then, in terms of the graph, the point ( (1 and 1/2)lb, $5) does not belong on the graph that you found in the previous points.
Workers load 5 identical large crates and 3 identical small crates onto a freight elevator. The crates have a combined weight of 1375 pounds. Later
that day, the workers load 3 more identical large crates and 6 more identical small crates onto the freight elevator. These crates have a combined
weight of 1350 pounds.
Answer: The total would be 40.53
Step-by-step explanation:
Which statements apply to the expression (3/5^3) cubed? Check all that apply.
Answer:
The true statements are
3/5 is the base
3 is the exponent
(3/5)³ = 3/5 × 3/5 × 3/5
(3/5)³ = 27/125
Step-by-step explanation:
Let a and b be any integer, given the expression;
[tex]a^b[/tex]
a is the base
b is the exponent
Similarly if we have;
[tex]a^3[/tex]
This means we can multiply a in three places as shown;
[tex]a^3 = a \times a \times a[/tex]
Applying this to the given expression
[tex](\frac{3}{5} )^3 = \frac{3}{5} \times \frac{3}{5} \times \frac{3}{5} \\Also\\(\frac{3}{5} )^3 = \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\(\frac{3}{5} )^3 = \frac{27}{125}[/tex]
The base value will be 3/5 and the exponent is 3
-4 -11 = ?
x X 3 = 15
4 x 2 x 3x = 48
Answer Choices:
A) -15, 5, 2
B) 15, 4, 13
C) 11, 4, 8
PLEASE HELP!
Answer:
A) -15, 5, 2
Step-by-step explanation:
Step-by-step explanation:
-4 -11 = ?
x X 3 = 15
4 x 2 x 3x = 48
Answer Choices:
B) 15, 4, 13
A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bottom left corner into the top right back corner how long is the straw?
Answer: [tex]10.2"[/tex]
Step-by-step explanation:
Given
The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]
If the Straw fits exactly into the box diagonally
So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.
[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]
Convert 29.5 kilograms to grams.
Enter your answer in the box.
Answer:
29,500 g
Step-by-step explanation:
1 kg = 1000 g.
29500
Step-by-step explanation:
29 multiplied by 1000 is 29k grams and if we add the .5 kilos which is basically 500 grams we get 29500 grams.
PLSS HELP MATH I NEED NOW I WILL GIVE BRAINLIEST TO RIGHT ANSWER
Answer:
D
Step-by-step explanation:
If you solve y = -x - 2 you can plot (-4,2)
Plz help on this ASAP I forgot
Answer:
B) If you use 9 cups of almonds, you need 5 cups of flour
Step-by-step explanation:
If 9 is your x-coordinate, that represents 9 cups of almond.
If 5 is your y-coordinate, that represents 5 cups of flour.
Therefore, B is correct
Only answer if you're sure you have the correct answer for this problem, please solve correctly.
Answer:
first option: m= 532 - 57h
Step-by-step explanation:
comment if u need explanation :)
The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.Mathland skating rink charges $4.00 an hour to skate . what equation represents situation on;the skating palace
Answer:
Equation for the skating palace
= 6 + 2x
Step-by-step explanation:
Let the number of hours = x
For skating palace, the equation is written as:
The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.
$6 + $2 × x
= 6 + 2x
For Mathland , the equation is written as:
Mathland skating rink charges $4.00 an hour to skate .
$4 × x
= 4x
Therefore, the equation that represents the situation on the skating palace is :
6 + 2x
Alonzo runs each lap in 6 minutes. He will run at most 30 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.
Answer:
N= 5
Step-by-step explanation:
30 ÷ 6 = n
n = 5
30 ÷ 6 = 5
Hope this helps!!
Geometry question on finding x.
Answer:
[tex] x =63^o[/tex]
Step-by-step explanation:
Given :-
[tex]\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}[/tex]We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .
According to question :-
[tex]\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o [/tex]
Hence the value of x is 63° .
A bag contains 20 candies: 9 pink candies, 8 red candies, and the rest green candies. Without looking, Sarah pulls out a piece of candy. What is the probability of Sarah pulling out a green candy what is heat transfer?
( A) 1/10
( B) 3/10
(C) 3/20
(D) 1/20
Answer:
The answer is C
Hope this helps!
Mark me brainliest if I'm right ;)
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70°
Step-by-step explanation:
Step 1
Sum of angles on a straight line = 180°
Hence:
180° - 101°
= 79°
Sum of interior angles in a triangle = 180°
Therefore,
m∠1 = 180° - (79 ° + 31°)
m∠1 = 180° - 110°
m∠1 = 70°
The diameter of a circle is 50.267 feet. Find the circumference of the circle and use 3.14 for π. Round your answer to the nearest whole number.
The circumference is
feet.
Answer:
C=2πr=2·π·25.13≈157.9153
Step-by-step explanation:
At a football match, 25% of the spectators wore red T-shirts and 3750 spectators did not wear red T-shirts. How many spectators were there
Answer:
5000
Step-by-step explanation:
Given data
25% wore red-T shirt
75% did not wear red T-shirt= 3750
Let the total spectator be represented by 100%
Let the total be x
75/100*x= 3750
0.75x= 3750
x= 3750/0.75
x= 5000
Hence thte total number of spectators is 5000
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
Find the value of x
Answer:
The value of [tex]x[/tex] is 2.
Step-by-step explanation:
Given that [tex]\overline{HI}[/tex] and [tex]\overline{HJ}[/tex] are secant to arcs [tex]HI[/tex] and [tex]HJ[/tex], which have the same central angles. Therefore, [tex]HI = HJ[/tex] due to symmetry:
[tex]HI = HJ[/tex] (1)
[tex]2\cdot x + 1 = 5\cdot x - 5[/tex]
[tex]3\cdot x = 6[/tex]
[tex]x = 2[/tex]
Hence, the value of [tex]x[/tex] is 2.
Jewan is setting up a monthly budget. His gross monthly income is $3125, but 20% is deducted for taxes. How much money is deducted in taxes, and how much is his monthly net pay?
Answer:
$625
$2500
Step-by-step explanation:
tax = percent of tax x income
0.2 x 3125 = 625
amount remaining = income - tax
3125 - 625
adding and subtracting matrices
Answer:
I NEED POINTS
Step-by-step explanation:
I'm just gonna answer this.
3.2 ft 2 fti2 ft 4 ft ft2 plz help
what's the question?
Answer:
Step-by-step explanation:
Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives like tacos. How many more
of her classmates like tacos as compared to her relatives?
Answer: 9 more of her classmates like tacos as compared to her relatives
Step-by-step explanation:
first mutiply 75 x 48 =3600
3600/100=36
Then, 45 x 60=2700
2700/100=27
and substract 36-27=9
thats the answer, hope this helped!
PLEASE HELP
WILL GIVE BRAINLIEST
Answer:
The answer will be 1.25
Step-by-step explanation:
12 7/12 - 11/1/3 = 1.25
Hope this helps!
HELP ME DEAR GOD-
Let H be the event that a coin flip lands with heads showing, and let T be the event that a flip lands with tails showing. (Note that P(H) = P(T ) = 0.5.) What is the probability that you will get heads at least once if you flip the coin ten times? Let A be the probability that heads appears at least once and B be the probability that heads does not appear.
If you flip the coin 10 times the probability you will get a heads at least once is ???
Answer:
The probability you will get a head at least once is 50%.
Step-by-step explanation:
Since the question is asking about the probability you will get, we can assume we’re answering based on theoretical probability. This type of probability is based on logic.
A coin always has two sides, one with head and the other with tails. So we can easily represent this as half and half. 1/2 as a fraction. 0.5 as a decimal. 50% as a percent. This means that P(H) will be equal to any one of these as they are all the same. The same can be said for the probability that a head does not appear, in other words, a tail appears. The reason being that the probability is split evenly between the two. This will again mean that P(T) will equal to any one of those.
So, A = 50% and B = 50%. The probability you will get a head at least once is 50%.