Sia is swinging from a chandelier. The horizontal distance between Sia and the wall, in meters, is modeled by D(t) where t is the time in seconds. The function is graphed below, along with one segment highlighted.
Answers
In the given graph, it is visible that Sia is swinging from a chandelier. The horizontal distance between Sia and the wall, in meters, is modeled by D(t) where t is the time in seconds. The function is graphed below, along with one segment highlighted.
The highlighted segment shows that Sia is moving away from the wall from the time interval 1.5 to 2.5 seconds. During this time interval, the horizontal distance between Sia and the wall is increasing. After 2.5 seconds, the horizontal distance remains constant, which indicates that Sia reached a maximum horizontal distance from the wall.Sia's motion is periodic and can be modeled by the cosine function. A cosine function is the horizontal displacement of a point moving in a circle with uniform angular velocity with respect to time. In the given graph, the horizontal distance of Sia from the wall is a periodic function with a period of 4 seconds. The amplitude of the cosine function is the maximum horizontal distance from the wall, which is approximately 3 meters from the graph. The cosine function passes through the origin, indicating that the initial position of Sia is at the wall.In conclusion, the graph represents the horizontal distance between Sia and the wall, where Sia is swinging from a chandelier. The horizontal distance is a periodic function with a period of 4 seconds, modeled by a cosine function. The maximum horizontal distance from the wall is approximately 3 meters, and Sia's initial position is at the wall.For such more question on velocity
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Related Questions
Two boxes need to be wrapped in paper (with no overlap). Both boxes are in the shape of right rectangular prisms.
Box A measures 1.2 feet high, 0.6 feet long, and 1 foot wide. Box B measures 1.6 feet high, 0.5 feet long and 1.6 feet wide.
The wrapping paper costs $6.79 per 80 square feet.
What is the cost of wrapping both boxes?
Enter your answer in the box.
Answers
The cost of wrapping both boxes would be = $1.13
How to o calculate the area of rectangular prisms?Surface Area of a rectangular prism = 2 (lh +wh + lw )
For box A;where length = 0.6
width = 1
height =1.2
The surface area of Box A
= 2( 0.6×1.2+1×1.2+0.6×1)
= 2( 2.52)
= 5.04ft²
For box B ;where length = 0.5
width = 1.6
height =1.6
Area = 2(0.5×1.6+1.6×1.6+0.5×1.6)
= 2(4.16)
= 8.32ft²
The total area of the boxes = 5.04+8.32 = 13.36
But 6.79 = 80 ft²
X = 13.36ft²
make X the subject of formula;
X = 13.36×6.79/80
X = 90.7144/80
X= $1.13
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PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
Answers
If the sum of the voltage is 4.5V, it is possible that different cells have different voltages. For example, three cells with voltages 1V, 1.5V, and 2V could be connected together side by side to give a total voltage of 4.5V.
To find the voltage of each cell, we would need to know the voltage across each cell or the voltage of the other cells connected in the circuit. Then we could use the fact that the sum of the voltages across all cells in the circuit is equal to the total voltage of the circuit to solve for the voltage of each cell.
he .......... be eating pizza.
Answers
He will be eating pizza
S + will + be + V_ing
8x5=(5x5)+(_x5) fill in missing number
Answers
Answer: 3
You are breaking up the 8 into 5 and another number. The other number plus 5 has to equal 8. Using 8-5, we know that that other number must be 3.
:)
the missing number Is 3
40=25+(_×5)
40-25=_×5
15=_×5
_=15/5
_=3
see the picture below to answer will give brainlyiest. Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Place the indicated product in the proper location on the grid.
3a2 · 2a3
Answers
Answer:
3a² · 2a³= 72a
Step-by-step explanation:
a small business owner is applying for a small business loan and has been approved for a $50,000 loan with a 6.15% annual interest. the first loan is a simple interest rate, the second loan compounds interest quarterly, and the third loan compounds interest continuously. the small business owner plans to pay off the loan in three years and 7 months. Determine the total value of the loan with the quarterly compounded interest.
Answers
Answer: The total value of the loan with quarterly compounded interest is $60,109.34.
Step-by-step explanation:
To calculate the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P * (1 + r/n)^(nt)
where:
A = final amount (loan + interest)
P = principal (the original amount of the loan)
r = annual interest rate as a decimal
n = number of times the interest is compounded in a year
t = time in years
For the loan with quarterly compounded interest, the number of times the interest is compounded in a year is 4 (since interest is compounded quarterly), and the time is 3 years and 7 months, which we can convert to years as 3.5833.
Substituting the values into the formula, we get:
A = $50,000 * (1 + 0.0615/4)^(4 * 3.5833)
A = $50,000 * (1.015375)^(15.7532)
A = $50,000 * 1.22186888
A = $60,109.34
Therefore, To calculate the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P * (1 + r/n)^(nt)
where:
A = final amount (loan + interest)
P = principal (the original amount of the loan)
r = annual interest rate as a decimal
n = number of times the interest is compounded in a year
t = time in years
For the loan with quarterly compounded interest, the number of times the interest is compounded in a year is 4 (since interest is compounded quarterly), and the time is 3 years and 7 months, which we can convert to years as 3.5833.
Substituting the values into the formula, we get:
A = $50,000 * (1 + 0.0615/4)^(4 * 3.5833)
A = $50,000 * (1.015375)^(15.7532)
A = $50,000 * 1.22186888
A = $60,109.34
Therefore, the total value of the loan with the quarterly compounded interest would be $60,109.34.
ale.
2 Emily saw an anaconda snake at the zoo
that was 24 feet 6 inches long. Which
equation can Emily use to find L, the length
of the snake in inches only?
QL = (24 + 12) + 6
QL = (24 x 10) + 6
L = (24 + 6) + 12
L = (24 * 12) + 6
eset in
5
Answers
Answer:
L=(24*12) + 6
Step-by-step explanation:
24 feet by 12 since each foot is 12 inches after that you'll need to add the rest of the inches you've already measured which is why you add 6
Cerca ya de las elecciones, un servicio de noticias por cable conduce una encuesta de opinión de 1, 000 probables votantes. El resultado muestra que el contendiente republicano tiene una ventaja de 52 a 48 por ciento.
a. Construya el intervalo de confianza de 95% de la proporción que favorece al candidato republicano.
b. Calcule la probabilidad de que el candidato demócrata sea el líder real.
c. Repita el análisis anterior basándose en una muestra de 3,000 probables votantes.
Answers
De la información proporcionada, tenemos que:
a) El intervalo de confianza de 95% de la proporción que favorece al candidato republicano es (0.489, 0.551).
b) Probabilidad de 0.1029 = 10.29% que el candidato demócrata sea el líder real.
c) Probabilidad de 0.0143 = 1.43% que el candidato demócrata sea el líder real.
Item a:
En un amostra de n personas, con probabilidad de éxito \(\pi\), e un nível de confianza de \(\alpha\), hay el seguiente intervalo de confianza de la proporción.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
En que z es el valor crítico.
En este problema:
1,000 votantes, por eso \(n = 1000\)52% de la muestra prefiere el candidato republicano, por eso \(\pi = 0.48\)95% confidence level
\(\alpha = 0.95\), por eso z es el valor de Z con un p-value \(\frac{1+0.95}{2} = 0.975\), asi que \(z = 1.96\).
El límite inferior de este intervalo es:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489\)
El límite superior de este intervalo es:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551\)
El intervalo de confianza de 95% de la proporción que favorece al candidato republicano es (0.489, 0.551).
Item b:
En una distribución normal con média \(\mu\) y deviación estandár \(\sigma\), el z-score de un medida X es dado por:
\(Z = \frac{X - \mu}{\sigma}\)
El z-score mide cuántas desviaciones estándar tiene la medida de la media. Después de encontrar el puntaje z, miramos la tabla z y encontramos el p-value asociado con este puntaje z, que es el percentil de X. Según el teorema del límite central, para una proporción p en una amuestra de tamaño n, la média es \(\mu = p\), encuanto la deviación estandár es \(\sigma = \sqrt{\frac{p(1-p)}{n}}\)En este problema:
Amuestra de 1,000, por eso \(n = 1000\).48% de la amuestra prefiere el candidato democrata, por eso \(p = 0.48\)La média e la deviación estandár son:
\(\mu = p = 0.48\)
\(\sigma = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.48(0.52)}{1000}} = 0.0158\)
La probabilidad es 1 restada de el p-value de z quando X = 0.5.
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{0.5 - 0.48}{0.0158}\)
\(Z = 1.265\)
\(Z = 1.265\) tiene un p-value de 0.8971.
1 - 0.8971 = 0.1029
Probabilidad de 0.1029 = 10.29% que el candidato demócrata sea el líder real.
Item c:
Ahora, hay \(n = 3000\), por eso:
\(\sigma = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.48(0.52)}{3000}} = 0.0091\)
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{0.5 - 0.48}{0.0091}\)
\(Z = 2.19\)
\(Z = 2.19\) tiene un p-value de 0.9857.
1 - 0.9857 = 0.0143
Probabilidad de 0.0143 = 1.43% que el candidato demócrata sea el líder real.
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I need help with this whats the answer
Answers
Answer:
i have no clue sorry try 180 - 135
Step-by-step explanation:
Según datos de una empresa aseguradora de vehículos, dos de cada cinco accidentes son provocados por conductores en estado de ebriedad, ¿cuál es la probabilidad de que tres de nueve accidentes seleccionados al azar hayan sido ocasionados por conductores ebrios?
Answers
Answer:
La probabilidad es \(0.2508\)
Step-by-step explanation:
Sabemos que según datos de una empresa aseguradora de vehículos, dos de cada cinco accidentes son provocados por conductores en estado de ebriedad. Entonces, si definimos el evento
\(A\) : ''Accidente provocado por un conductor en estado de ebriedad''
La probabilidad de este evento es
\(P(A)=\frac{2}{5}\) (dato del problema)
Por lo tanto, en cada accidente que ocurre, la probabilidad de que ocurra el evento \(A\) es \(\frac{2}{5}\) .
Ahora bien, si suponemos cada uno de estos accidentes independientes y con probabilidad de ocurrencia ''p'' constante a lo largo del tiempo, estamos ante la presencia de un proceso Bernoulli.
Dado un proceso de Bernoulli, definimos la variable aleatoria discreta ''\(X\)'' como el número de éxitos del proceso Bernoulli para un número fijo de ensayos.
En este caso vamos a definir
\(X\) : ''Número de accidentes provocados por conductores en estado de ebriedad de un total de n accidentes''
Se dice que \(X\) tiene distribución binomial de parámetros ''n'' y ''p''.
Lo denotamos \(X\) ~ Bi (n,p)
En nuestro ejercicio el valor de ''n'' es 9 (son los ensayos que fijamos) y el valor de ''p'' es \(\frac{2}{5}\) (definimos como ''éxito'' que el accidente sea provocado por un conductor en estado de ebriedad).
Ahora bien para calcular probabilidad vamos a utilizar la siguiente fórmula :
\(P(X=x)=(nCx)p^{x}(1-p)^{(n-x)}\) (I)
'' \(P(X=x)\) '' es la probabilidad de que la variable aleatoria \(X\) asuma el valor x. En particular, buscamos \(P(X=3)\) que es la probabilidad de que de nueve accidentes (fijados), tres sean provocados por conductores en estado de ebriedad.
'' \((nCx)\) '' es el número combinatorio definido como
\(nCx=\frac{n!}{x!(n-x)!}\)
Reemplazando los datos en la ecuación (I) :
\(P(X=3)=(9C3)(\frac{2}{5})^{3}(\frac{3}{5})^{6}=0.2508\)
La probabilidad pedida es \(0.2508\)
The point P lies on the unit circle, making an angle of measure theta with the positive x-axis.
Use the cosine and sine functions to express the exact coordinates of P in terms of angle theta
Answers
Answer:
\(Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)\)
Step-by-step explanation:
\(Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)\)
The x-coordinate will be cosθ and the y-coordinate will be sinθ.
What are polar coordinates?Polar coordinates are a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point called the pole and an angle from a fixed direction called the polar axis.
The distance from the pole is called the radial coordinate or radius, denoted by "r", and the angle is called the angular coordinate or polar angle, denoted by "θ".
Polar coordinates are often used in situations where the Cartesian coordinates (x, y) are not convenient, such as in polar graphs, 3D coordinate systems, and certain physics and engineering applications.
For the point P, the coordinates will be,
x-coordinate: cosθ
y-coordinate: sinθ
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the price of the cup of coffee has dropped to 2.50 today. yesterday's price was 2.75. find the decrease percentage and round to the nearest tenth
Answers
d=(100*0.25)/2.75
d=0.9
.) Tyler has two cube-shaped storage spaces in his apartment building, one large and one
small. The small storage space has a volume of 12 ft. Tyler wants to know the total
volume of both storage spaces.
•) s = length (ft) of one side of the large storage space
• Which expression represents the total
volume of the two storage spaces?
12 ft3
33 + 12
• What is the total volume of both storage
spaces if one side of the large storage
space is 4 feet long?
?
ft
Answers
Answer:76
Step-by-step explanation:
The volume of larger storage is 248.8 cubic ft and the total volume of both the storages is 260.8 cubic feet.
Given information:
Tyler has two cube-shaped storage spaces in his apartment building, one large and one small.
The small storage space has a volume of 12 cubic ft.
One side of the large storage space is 4 feet long.
Let a be the side of the smaller cube. The value of a can be calculated as,
\(a^3=12\\a=2.289\)
The side of the larger cube will be,
\(b=a+4\\b=2.289+4\\b=6.289\)
So, the volume of the larger cubical space will be calculated as,
\(V=b^3\\=6.289^3\\=248.8\)
The total volume of both the spaces will be,
\(248.8+12=260.8\)
Therefore, the volume of larger storage is 248.8 cubic ft and the total volume of both the storages is 260.8 cubic feet.
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solve??????????????????
Answers
Answer:
D
Step-by-step explanation:
Each top part of the fraction counts as one jump thingy, which is from one stick to another. Since the first jump skips 3 sticks, that is the (3/7), and so on...
Name the longest and shortest side in each triangle.
Answers
5. a rectangular plot of land is to be enclosed by fencing. one side is along a river and so needs no fence. if the total fencing available is 600 meters, fi d the dimensions of the plot to have maximum area.
Answers
Using basic geometry and applying the fence only on 3 sides, The required dimensions of the plot to have maximum area is 200 x 200.
What do you mean by geometry?A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects.
What do you mean by dimensions of a figure?In mathematics, a dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, width, and height.
fence length available = 600m
We only need to fence 3 sides. So length in each side = 600/3
=200m
So, Final dimension = 200 x 200
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I’ll give brainly if you’re answer is right
Answers
Answer:
look at the picture i have sent
Answer:
36 - 4c and 2c + 2c - 18 - 18
Step-by-step explanation:
Add all of the 9's Up together and then add all the C's up together and you have your answer. for the second one, just take away half from one answer and make it 4 numbers.
Find the area of the figure
Answers
Answer:
104ft
Step-by-step explanation:
First - find the area of triangles.
h = hight
b = base
h • b / 2
5 • 8 /2 = 20ft
And
4 • 6 /2 = 12ft
And then area of the rectangle.
l • w
9 • 8 = 72 ft
Than add. Them all together
find the approximate area of the shaded region, given that the area of the sector is approximately 13.08 square units.
Answers
The area of the shaded region is 3915 units².
We have,
Area of the sector.
= 13.08 units²
Now,
To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case,
The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:
Calculate the semi-perimeter:
s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units
Use Heron's formula to find the area:
Area = √[7(7 - 5)(7 - 5)(7 - 4)]
= √[7(2)(2)(3)]
= √[84]
≈ 9.165 units (rounded to three decimal places)
Now,
Area of the shaded region.
= Area of the sector - Area of the isosceles triangle
= 13.08 - 9.165
= 3.915 units²
Thus,
The area of the shaded region is 3915 units².
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Which is the least decimal among the following: 4.2, 4.18, 4.3, 4.25, 4.125?
Plssssssssss tell me quickkkkk
Answers
Answer:
I am assuming you mean the smallest decimal so it is 4.125
Step-by-step explanation:
you said quick so
Answer: 4.25
Step-by-step explanation: if you make all of these into a whole number the biggest number comes out to be 20 and its 4.25
can someone please help
Answers
Answer:
The measure of CD is 46
Step-by-step explanation:
From the midpoint theorem, we have,
FG = (1/2)CD
so,
\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)
Now,
\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)
Q6) U= {1,2,3,4,5,6,7,8,9,10}
A={1,3,5,7,9)
B= {2,4,5,8)
C={1,10}
D={1,3,6,7,8}
Mention
. AUB
. An B
. (AnB) n (BU A)
. AU (BnC)
. CUD
Answers
Answer:
AUB={1,2,3,4,5,7,8,9}
ALL THE NUMBERS WITHOUT REPEATING
AnB={5}
THE NUMBER THE HAVE IN COMMON
(AnB)n(BnC)={5}not too sure
CUD={1,3,6,7,8,10}
Convert:
30 quarts
=
bushels
Round to the nearest hundredths.
Answers
Answer:
30 quarts= 0.8057 bushels
rounded to the nearest hundredths = 0.81
After analyzing a data set using the one-way ANOVA model, the same data are analyzed using the randomized block design ANOVA model. SS (Treatment) in the one-way ANOVA model is ________ the SS (Treatment) in the randomized block design ANOVA model.
a. Always equal to.
b. Always greater than.
c. Always less than.
d. Sometimes greater than.
Answers
Answer: Always equal to
Step-by-step explanation:
A one way analysis of variance refers to the technique that is used in knowing if there's significant difference between two samples means.
Based on the options given, it should be noted that SS (Treatment) in the one-way ANOVA model is always equal to the SS (Treatment) in the randomized block design ANOVA model.
PLEASE HELP AND SHOW THE WORK
Answers
An equation of the line that goes through the point (-1, -3) and (3, 5) is y = 2x - 1.
An equation of the line in slope-intercept form that is perpendicular to the equation for obstacle 1 is y = -x/2 + 3.
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁) or \(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\)
Where:
m represent the slope.x and y represent the points.At data point (-1, -3), a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\\\\y - (-3) = \frac{(5- (-3))}{(3-(-1))}(x -(-1))\\\\y +3 = \frac{(5+3)}{(3+1)}(x +1)\)
y + 3 = 2(x + 1)
y = 2x + 2 - 3
y = 2x - 1
In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
2 × m₂ = -1
m₂ = -1/2.
At point (-4, 5), an equation of the line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -1/2(x + 4)
y = -x/2 - 2 + 5
y = -x/2 + 3
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A city in Texas started the day at -5 degrees Fahrenheit. The temperature increased by 15.1 degrees by nightfall. What is the final temperature at nightfall?
Answers
Step-by-step explanation:
Add 15.1 to -5-5 + 15.1 = 10.1Answer:
The final temperature is 10.1 degrees Fahrenheit
What is the correct equation to solve for x? Help
Answers
Answer:
tan (46°) = 17/x
Step-by-step explanation:
tan (46°) = 17/x
Answer:
tan(46) = 17/x
Step-by-step explanation:
The tangent of an angle is opposite over adjacent, so the tangent of 46 is 17/x, not x/17. Also, sin(46) = opposite/hypotenuse and cos(46) = adjacent/hypotenuse, but we aren’t given the hypotenuse. Therefore, the answer has to be tan(46) = 17/x.
Please help me!!!
Prove that :
7.1 TS is a tangent to the cyclic quadrilateral RSPD at point S.
7.2 TW ||PS
Answers
Explanation:
The various theorems involved include ...
angle sum theorem (angles in a triangle total 180°)alternate interior angles theorem (said angles are congruent)inscribed angle theorem (and "alternate")angle addition postulateFor the purpose here, we wll use the notation D.1 to refer to the angle labeled "1" at vertex D.
The argument goes something like the following.
__
∠D.1 +∠R +∠S.1 = 180° . . . . angle sum theorem
∠S.1 +∠S.2 +∠S.3 +∠S.4 = 180° . . . . angle addition postulate (∠RSW is a straight angle, equal to 180°)
∠D.1 +∠R +∠S.1 = ∠S.1 +∠S.2 +∠S.3 +∠S.4 . . . . substitution property
∠D.1 = ∠S.2 . . . . alternate interior angles theorem
∠S.2 +∠R +∠S.1 = ∠S.1 +∠S.2 +∠S.3 +∠S.4 . . . . substitute for ∠D.1
∠R = ∠S.3 +∠S.4 . . . . subtraction property (subtract ∠S.1 +∠S.2)
∠R = ∠S.3 +∠S.2 . . . . substitute ∠S.2 for equal ∠S.4 (given)
∠R = arc DS/2 . . . . inscribed angle is half the arc measure
∠TSD = ∠S.2 +∠S.3 = arc DS/2 . . . . substitution, angle addition, angle naming
TS is tangent at S . . . . converse of "inscribed angle alternate" where the vertex of an inscribed angle is a point of tangency
_____
Additional comment
The alternate to the inscribed angle theorem says the angle is half the measure of the intercepted arc even as the vertex of the inscribed angle becomes a point of tangency (one ray of the angle is a tangent, so a zero-length chord). The converse of this says the vertex is a point of tangency if the intercepted arc is twice the measure of the angle, as in this problem.
Find the equation of the parabola in vertex form that has a vertex of (4,-2) and a y intercept of (0,-66)
Answers
The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
The vertex form of a parabola is given by:y = a(x - h)^2 + k
where (h, k) is the vertex of the parabola.
We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2
Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2
Simplifying this, we get:-66 = 16a - 2
Adding 2 to both sides, we get:-64 = 16a
Dividing both sides by 16, we get:a = -4
Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2
Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2
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What fractions are equivalent or equal to 1/2
Answers
Answer:
some examples are 2/4, 3/6, 4/8, 5/10, 6/12, 7/14 and so on.
Step-by-step explanation:
any fraction with the numerator (number on the top) half of the denominator (number on the bottom) would apply to this.
Answer:
2/4, 5/10, 4/8, 3/6, 6/12, 7/14, 8/16, 9/18, 10/20
Step-by-step explanation:
They are all half of a number.