Which equation represents the parabola shown on the graph?
y2 = 1.5x
x2 = 1.5y
y2 = 6x
x2 = 6y
The equation represents the parabola is x² = 6y.
What is Equation of Parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
The general equation of a parabola is given by y = a(x – h)² + k
We have equations.
The graph's parabola is a vertical parabola that is open vertically and has its vertex at the origin.
So, the equation of the parabola is equal to
x² = 4ay...............(1)
and, the equation of the directrix is y= -a.
her, the directrix is y= -1.5
Now, the equation for the parabola is
x² = 4(1.5)y
x² = 6y
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La pirámide egipcia de keops tiene un volumen de 2;574,466 metros cúbicos su base es de 230m ¿cuál es la altura de dicha pirámide?
Answer:
Según los datos brindados, la altura de la pirámide egipcia de Keops sería de:
146 metros aproximadamente.Step-by-step explanation:
Para resolver el ejercicio, debes conocer la fórmula para calcular el volumen de una pirámide cuadrangular, el cual es el tipo de pirámide al cual pertenece la pirámide de Keops:
Volumen de una pirámide cuadrangular = [tex]\frac{L^{2} * h}{3}[/tex]Donde:
L = Longitud de los lados de la base cuadrada.h = Altura de la pirámide.Como queremos identificar la altura, despejamos esa variable de la ecuación, pero para simplificar un poco, vamos a escribir el volumen de la pirámide con la variable "v":
[tex]v=\frac{L^{2} * h}{3}[/tex] [tex]v * 3=L^{2} * h}[/tex] [tex]\frac{v*3}{L^{2} }=h[/tex]Y en esta ecuación que despejamos, procedemos a reemplazar los valores de volumen y base que nos dieron en el ejercicio:
[tex]\frac{2574466m^{3} *3}{(230m)^{2} }=h[/tex]Y realizamos las operaciones correspondientes:
[tex]\frac{7723398m^{3}}{52900m^{2} }=h[/tex] (Como hay metros cúbicos en el dividendo y metros cuadrados en el divisor, simplificamos en el siguiente paso para que solo queden metros).[tex]h = 145.9999622m[/tex]Aproximamos el número al entero más cercano, por lo tanto, la altura de dicha pirámide con los datos dados sería de aproximadamente 146 metros.
Which expression is equivalent to the product of 5x + 1 and 2x - 3?
Answer:
10x^2 - 13x - 3
Step-by-step explanation:
(5x + 1)(2x - 3) = 10x^2 - 15x + 2x - 3 = 10x^2 - 13x - 3
Một ô tô đi trong 3¾ giờ đầu với vận tốc 45km/ giờ .Trong 2 giờ tiếp theo đi được 84,7 km. Hỏi ô tô đã đi được tất cả bao nhiêu km?
Answer:
Total distance cover by car = 253.45 km (Approx.)
Step-by-step explanation:
Given:
Speed of car = 45 km/h for 3¾ hour
Distance cover in next 2 hour = 84.7 km
Find:
Total distance cover by car
Computation:
Distance = Speed x time
Distance cover by car = 45 x 3¾
Distance cover by car = 168.75 km
Total distance cover by car = Distance cover by car + Distance cover in next 2 hour
Total distance cover by car = 168.75 + 84.7
Total distance cover by car = 253.45 km (Approx.)
I need this answer quickly
9=5-x÷2
x=23
23-5=18÷2=9
Can anyone help me with this please? I need help along with an explanation.
Answer:
Step-by-step explanation:
what does Δy and Δx stand for
Δy just means triangle y and Δx means triangle x.
53% of 80
? What is the percentage?
Answer:
42.4
Hope that this helps!
Answer: 66.25%
Step-by-step explanation:
53/80 x 100= 66.25%
John finds that there is a scholarship available to all personals scoring in the top 5% on the ACT test. If the mean score on the ACT is 21 with a standard deviation of 4.7, what score does he need in order to qualify for the scholarship
Answer:
He needs a score of 28.7315 to qualify for the scholarship
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean score on the ACT is 21 with a standard deviation of 4.7
This means that [tex]\mu = 21, \sigma = 4.7[/tex]
What score does he need in order to qualify for the scholarship?
The top 5%, so the 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 21}{4.7}[/tex]
[tex]X - 21 = 4.7*1.645[/tex]
[tex]X = 28.7315[/tex]
He needs a score of 28.7315 to qualify for the scholarship
what is 94.2 and 87 averaged out
Answer:
90.6
Step-by-step explanation:
total is 181.2 divided by 2 is 90.6
Find the value of p when 3P = 1/9
Answer:
p=1/27
Step-by-step explanation:
3p=1/9
when 9 goes to the left land side divide changes into multiplication so 3p and 9 gets multiplied
3p*9=1
27p=1
when 27 goes the right hand side multiplication changes to division .So
p=1/27
The value of P is 1/27 for equation 3P = 1/9
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Equation is 3P = 1/9
Three times of P equal to one by nine
We need to find the value of P
3P = 1/9
Divide both sides by nine
3P/3=1/9×1/3
P=1/27
Hence, the value of P is 1/27.
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SOMEONE, PLEASE HELP!!!!!!!!
Answer:
Step-by-step explanation:
i think it is b
What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.13 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. __mm^3
Answer:
[tex]2034.72\:\mathrm{mm^3}[/tex]
Step-by-step explanation:
The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is the height of the cone.
What we're given:
[tex]r[/tex] of 18 [tex]h[/tex] of 6 Use [tex]\pi=3.14[/tex]Substituting given values, we get:
[tex]V=\frac{1}{3}\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}[/tex]
49×7³×100. -----------------. 10³×3³×7²
Mrs Roberts makes 'regular' and 'low-sugar' jam.
She sells both kinds of jam in 340-gram jars.
55% of the weight of her 'regular' jam is sugar.
What weight of sugar is there in a 340-gram jar?
Answer:
187 gram
Step-by-step explanation:
Regular jam = low sugar jam = 340-gram jars
55% of the weight of her 'regular' jam is sugar.
What weight of sugar is there in a 340-gram jar?
Weight of sugar in a 340-gram jar of regular jam = 55% of 340
= 55/100 × 340
= 0.55 × 340
= 187
Weight of sugar in a 340-gram jar of regular jam = 187 gram
Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?
Given:
Cost of 13 movies = $15.99
To find:
Cost of each movie
Steps:
Lets assume the cost of each movie as 'x'.
So,
[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]
[tex]1.23 = x[/tex]
[tex]x = $1.23[/tex]
Therefore, the cost of one movie is 1.23 dollars
HAPPY TO HELP :)
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There are 5 trees in Melinda's front yard. 2 of them are maple and 3 are oak. What percent
of the trees in Melinda's front yard are maples?
what is the tan B in the given triangle
Answer:
tan 4/3
Step-by-step explanation: also bts sucks
Answer:
4/3
Step-by-step explanation:
tan B = opp/adj
tan B = 4/3
the expression (x^2-1)^-2/3 is equivalent to
Answer:it’s x
Step-by-step explanation:
Sry if I’m wrong
An isosceles triangle always has three interior angles that measure 60° each.
Is it true or false?
Please give real answers with explanation. 100 points + I will give brainliest. No Docs/No Files/No Links only answer with explanation.
Answer:
False
Step-by-step explanation:
The definition given is that of an equilateral triangle, NOT that of an isosceles triangle. An isosceles triangle has at least two angles that are equal by definiton. They need not be 60 degrees. For example, a triangle with angle measures of 140, 20, and 20 is an isosceles triangle because two of the angles are equal. Hope this helped!
rose has $500 in her savings account she earns simple interest at 5% per annum. calcutate the interest she earns after two year.
Answer:
$50
Step-by-step explanation:
Interest = PRT/100
Principal P = $500
Rate R = 5%
Time T = 2years
Get the interest
Interest = 500*5*2/100
Interest = 5 * 5 * 2
Interest = $50
Hence the interest eaned after 2years is $50
Is the missing side length a leg or the hypotenuse?
Answer:
the missing side is
[tex] \sqrt{9 {}^{2} + 12 {}^{2} } = 15 \: yards[/tex]
Answer: Hypotenuse
Step-by-step explanation:
This is a right triangle because it has a right angle, and the longest side of a right triangle is the Hypotenuse. The question mark in this image is asking about the longest side of this triangle, so therefore, it is the hypotenuse, not a leg.
Find the circumference of each circle from the given radius or diameter
a right triangle whose acute angles have measures 5x and 4x.
Answer:
x=10
50 and 40
Step-by-step explanation:
The sum of the angles of triangle is 180
90 +5x+4x = 180
Combine like terms
90 +9x =180
Subtract 90 from each side
9x = 180-90
9x = 90
x = 90/9
x = 10
The angles are 5x = 5*10 =50 and 4x = 4(10)= 40
Find the nth term of 9, 12, 13, 18
Answer:
3
Step-by-step explanation:
in this pattern, you can see that it constantly increases by 3. knowing that, we can plug in 3 I. your equation to figure out any term you would like!
Points A(7, -5), B(-1, -2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n)
triangle
The answer is scalene
what is (2x2 + 4x − 3)(x2 + 2) distributived ?
Answer:
2x⁴ + 4x³ + x² + 8x - 6
Step-by-step explanation:
(2x² + 4x - 3)(x² + 2)
2(x² + 2) · x² + 4x(x² + 2) - 3(x² + 2)
2x⁴ + 4x² + 4x(x² + 2) - 3(x² + 2)
2x⁴ + 4x² + 4x³ + 8x - 3x² - 6
2x⁴ + x² + 4x³ + 8x - 6
2x⁴ + 4x³ + x² + 8x - 6
A car goes to point a to b in 3 hours and b to a in 5 hours. A to b are 150 km away what is the speed o car
Answer:
50km/h
Step-by-step explanation:
Given data
A-B
Time taken= 3 hours
Distance= 150km
B-A
Time taken= 5 hours
We know that
Speed= distance/time
Speed= 150/3
Speed= 50km/h
Hence the speed of the car is 50km/h
3 connecting lines are shown. Line A B is horizontal. Line A C is about half the length of A B. Line B C is about one-third of the length of A B.
Which inequality can be used to explain why these three segments cannot be used to construct a triangle?
AC + AB > CB
AC + CB < AB
AC + CB > AB
AC + AB < CB
Answer:
AC + CB < AB
Answer:
AC + CB < AB
Step-by-step explanation:
A metal washer has an outer diameter of 14mm and an inner diameter of 6mm.Use the value of 3.14 for the to find the area of the metal washer
Answer:
502.4 mm^2
Step-by-step explanation:
First find the area of the larger circle, and then that of the smaller one.
Then subtract the latter (2nd) area from the first.
larger circle area smaller circle area
------------------------- ---------------------------
3.14(14 mm)^2 3.14(6 mm)^ 2
This comes out to 3.14[14^2 - 6^2] mm^ 2 = 3.14[196 - 36] mm^2, or
3.14(160 mm^2) = 502.4 mm^2
The area of the metal washer is 502.4 mm^2.