Parabola A and parabola B are similar in that they are both vertically oriented parabolas with the x-axis as their axis of symmetry. However, they differ in their vertex, focus, and directrix, which means they have different equations and open in different directions.
What are the similarity and difference of both parabolaBoth parabola A and parabola B are examples of vertically oriented parabolas that have the x-axis as their axis of symmetry. However, they differ in their vertex, focus, and directrix.
Parabola A has its vertex at (0, 0) and its focus at (0, 4). The directrix is the line y = -4, which is a horizontal line 4 units below the vertex. This means that any point on parabola A is equidistant to the vertex and the focus, and the distance between any point on the parabola and the directrix is equal to the distance between the point and the focus.
Parabola B has its vertex at (0, 0) and its focus at (0, -6). The directrix is the line y = 6, which is a horizontal line 6 units above the vertex. This means that any point on parabola B is equidistant to the vertex and the focus, and the distance between any point on the parabola and the directrix is equal to the distance between the point and the focus.
In terms of their equations, the equation of parabola A is y^2 = 16x, while the equation of parabola B is y^2 = -24x. Notice that parabola B has a negative coefficient of x, which means it opens to the left instead of the right like parabola A.
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Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
to tiny submit closer picture
it take 5 hours to bake 12 loaves of bread. How long will it take to bake 15 loaves?
Answer:
= 6.25 hours.
Step-by-step explanation:
If 5 hours = 12 loaves of bread
than ? = 15 loaves of bread.
therefore 15/12 × 5 hours
= 75/12
= 6. 25 hours.
Which of the following is equal to the fraction below?
Answer:
Choice B
Step-by-step explanation:
(7/4)^11 = 471.431...
(7^11)/(4^11) = 471.431...
1. If the given angle is in standard position, find two positive and two negative coterminal angles.
2. a) Find the angle supplementary theta = 15.90
b) Convert the angle to degrees, minutes, and seconds.
3. a) Convert la to a radian.
b) Convert 1b to a degree
PLEASE HELP THANK YOU
Answer: its A
Step-by-step explanation: you welcome
The variables x and y vary inversely. Use the given values to write an equation relating x
and y. Then find y when x = 4.
1. x = 5, y = 2
The relation 'x' and 'y' vary inversely, when x = 4, y = 5/2.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, The variables x and y vary inversely.
Let, y ∝ 1/x.
y = k/x.
2 = k/5.
k = 10.
Now, x = 4.
y = k/x.
y = 10/4.
y = 5/2.
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e by 1
3. Mr. Bauer placed the letters in the word
BASKETBALL into a bag. What is the
probability of choosing the letter B, not
replacing it, and then choosing a vowel?
Answer:
1/15 chance
Step-by-step explanation:
BASKETBALL = 10 letters
taking out a B = 2/10 or 1/5
Then picking a vowel = 3/9 or 1/3
1/5 x 1/3 = 1/15 chance
The function f(2)=19400(0.40)* represents the values of a certain type of car x years after it is
purchased. Xavier states that the decay rate of the value of the car is 40%. Which accurately
describes Xavier's statement?
A) Xavier correctly determined the decay rate of the value of the car.
B)Xavier should have subtracted 0.40 from 1 to determine a decay rate of 60%.
C)Xavier should have added 0.40 to 1 to determine a decay rate of 1.40%.
D) Xavier should have divided 1 by 0.40 to determine a decay rate of 1.60%.
Since Xavier states that the decay rate of the value of the car is 40%, an answer option that accurately describes Xavier's statement is: A) Xavier correctly determined the decay rate of the value of the car.
What is an exponential function?In Mathematics, an exponential function can be modeled by using this mathematical expression:
f(x) = a(b)^x
Where:
a represents the base value or y-intercept.x represents time.b represents the rate of change (decay rate).In this scenario, we can logically deduce that values of a certain type of car x years after it is purchased can be modeled by the following exponential function:
f(2) = 19,400(0.40)^2
By comparison, we have:
Decay rate (r) = 0.40, which simply means Xavier correctly determined it.
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Magdalena creates the scale drawing shown of a rectangular field. What is the area, in square meters ( m2 ), of the actual field? pls help…
The perimeter of the actual field is 91.8 meters.
The area of the actual field is 437.4 square meters.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
The scale of a rectangular field is given in the question, as follows:
1 cm = 4.5 m
So, the dimensions of the actual field, are as:
L = 7.2 × 4.5 = 32.4 m
W = 3 × 4.5 = 13.5 m
The perimeter of the actual field = 2(L+W)
The perimeter of the actual field = 2(32.4 + 13.5) = 2(45.9) = 91.8 m
The area of the actual field = L × W
The area of the actual field = 32.4 × 13.5 = 437.4 m²
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Find the eigenvalues and eigenvectors of matrix A = 5 4
1 2
The matrix A eigenvalues and eigenvectors are as follows:
Eigenvalue λ1 = 1 with eigenvector v1 = [1, -1]
Eigenvalue λ2 = 6 with eigenvector v2 = [4, 1]
Using the equation (A - λI)v = 0, where is an eigenvalue of A, I am the 2x2 identity matrix, and v is the associated eigenvector, we can determine the eigenvalues and eigenvectors of the matrix A = [[5, 4], [1, 2]].
First, we calculate the (A - λI) matrix's determinant:
det(A - λI) = |5-λ 4| = (5-λ)(2-λ) - 4 = λ^2 - 7λ + 6
|1 2-λ|
We obtain the characteristic equation by setting the determinant to zero:
λ^2 - 7λ + 6 = 0
We obtain two eigenvalues after solving for λ :
λ = 1 and λ = 6
Next, For each eigenvalue, we identify the appropriate eigenvectors:
For λ = 1, We solve the system of linear equations represented by the equation(A - λI)v = 0:
4v1 + 4v2 = 0
v1 + v2 = 0
The second equation is evidently as straightforward as v1 = -v2. When we enter this into the initial equation, we get:
4v2 - 4v2 = 0
Thus, the eigenvector for λ = 1 is v = [1, -1].
For λ = 6, We solve the system of linear equations represented by the equation(A - λI)v = 0:
-v1 + 4v2 = 0
-v1 + 4v2 = 0
v1 - 4v2 = 0
It is evident that the first equation is just v1 = 4v2. When we enter this into the second equation, we get:
4v2 - 4v2 = 0
Thus, the eigenvector for λ = 6 is v = [4, 1].
Therefore, The matrix A eigenvalues and eigenvectors are as follows:
Eigenvalue λ1 = 1 with eigenvector v1 = [1, -1]
Eigenvalue λ2 = 6 with eigenvector v2 = [4, 1]
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Part I: Make It Simple
1. Which expression is equivalent to 3 (k kk)? S
A. 9k
B. 3k
C. 3k4
D. 3k³
HELPPPPPPP PLEASEEEEEEEEEE
Algebra
Answer:
(-1, -5)
Equation form:
x=-1, y=-5
Step-by-step explanation:
Basically, all you have to do is solve for the first variable in one of the equations, then substitute the result into the other one. It's as simple as that.
Hope this helps
What is 0900 military time?
0900 military time is 9:00 AM in the 24-hour time format used by the military, also known as the 24-hour clock.
The 24-hour clock is a timekeeping system that uses a continuous count of 24 hours, instead of two sets of 12 hours for AM and PM. In this system, each hour of the day is numbered from 0 to 23, and is referred to as "military time" or "24-hour time". So, 0900 military time is equivalent to 9:00 AM, with the "0" indicating the first hour of the day. This system is commonly used in the military, as well as in other fields where precise and standardized timekeeping is important, such as aviation and public transportation.
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please help me on this
Answer:1/12
Step-by-step explanation:
Answer: 1/12
just a find a common denominator, and subtract, hope this helped =)
Solve the right triangle by completing the table below
The complete table is,
⇒ B = 41°
⇒ a = 9.525
⇒ b = 8.25
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
Now, We have;
Two angles of triangle are,
⇒ A = 49°
⇒ C = 90°
Hence, We can formulate;
⇒ B = 180 - (49 + 90)
⇒ B = 180 - 139
⇒ B = 41°
And, By using Sine rule as;
⇒ sin A / a = sin B / b = sin C / c
Takin two identity as;
⇒ sin A / a = sin C / c
⇒ sin 49° / a = sin 90° / 12.7
⇒ 0.75 / a = 1/12.7
⇒ 0.75 × 12.7 = a
⇒ a = 9.525
⇒ sin B / b = sin C / c
⇒ sin 41° / b = sin 90 / 12.7
⇒ 0.65/b = 1/12.7
⇒ 0.65 × 12.7 = b
⇒ b = 8.25
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An ore car of mass 4,800 kg rolls downhill on tracks from a mine. At the end of the tracks, 13. 9 m lower in elevation, is a spring with k = 410,000 n/m. How much is the spring compressed in stopping the ore car? ignore friction.
The spring compressed in stopping the ore car is 4.4719 m.
For answer this we will apply the rule of the conservation of energy,
The conservation of energy principle states that in a closed system, the energy of interacting objects or particles remains constant. Kinetic energy, sometimes known as the energy of motion, was the first type of energy to be identified. The total of the kinetic energy of the particles before collision and the sum of the kinetic energy of the particles after collision are identical in some particle collisions, known as elastic collisions.
where:
[tex]E_i=E_f[/tex]
First, we will call:
[tex]E_i[/tex]:the automobile is parked
[tex]E_f[/tex]:when the spring is shortened
so:
[tex]E_i=E_f[/tex]
[tex]mgh=\frac{1}{2}kx^2[/tex]
where M is the vehicle's mass, g is gravity, h is height, K is the spring's constant, and X is the compressed spring used to halt the ore car. By substituting values, we obtain:
4800×9.8×13.8=[tex]\frac{1}{2}\times 410000\times x^2[/tex]
calculating x:
x = 4.4719 m
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Chang 0.7 to fraction with workings
Answer:
7/10
Step-by-step explanation:
all number converted to decimals are X/1. X is any number.
0.7 is equal to 0.7/1
now fractions cannot contain a decimal number so we can times is by 10 to get 7/10.
Answer: 0.7, I think you multiply, algebraic answer ig
Step-by-step explanation:
What is 128 lbs to kg ?
128 pounds is equal to 58.059 kilograms.
To convert pounds (lbs) to kilograms (kg), you can use the conversion factor that 1 pound is equal to 0.45359237 kilograms.
To convert 128 pounds to kilograms, you can multiply 128 by the conversion factor:
= 128 lbs x 0.45359237 kg/lb
≈ 58.059 kilograms
Therefore, 128 pounds is equal to 58.059 kilograms.
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The following angles are given in degrees and fractions of degrees. Rewrite them in degrees, arcminutes, and arcseconds.
A. 24.2 degrees?
B. 1.56 degrees?
C. 0.1 degrees?
D. 0.01 degrees?
The value is approximately equal to 12.0711°
Degrees-Minutes-SecondsWhile measuring angles, we use various units of measurements such as the degrees or the SI unit radians as per our convenience.
When we use the degree system, we can use the degree-minute-second or the degree decimal system as per our requirement of precision.
The angle in degree - minutes - seconds is 12°4'16"
We know that [tex]\frac{1}{60}[/tex] of a degree is minute and [tex]\frac{1}{60}[/tex] of a minute is a second.
Hence, [tex]\frac{1}{3600}[/tex] of a degree is a second.
Therefore the angle [tex]\theta[/tex] in degrees and decimal fractions of degrees will be:
[tex]\theta[/tex] = [tex]12+\frac{1}{60}[/tex] × 4 + [tex]\frac{1}{3600}[/tex] × 16
= [tex](12+\frac{1}{15}+\frac{1}{225} )[/tex]°
The value is approximately equal to 12.0711°
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The given question is incomplete, complete question is:
The angle 12 degrees 4'16" is given in degrees, arcminutes, and arcseconds. How do you rewrite them in degrees and decimal fractions of degrees?
Lianisse recorded the number of text messages she sent each day over a period of time. She created the box plot shown to display her data.
Finish completing the five-number summary of Lianisse’s data.
Minimum: 1
First Quartile: _____
Median: _____
Third Quartile: ______
Maximum: ______
The five number summary is 77.5.
First Quartile: 7.5
Median: 15.5
Third Quartile: 23.5
Maximum: 30
completing the five-number summary of Lianisse’s data:
1, 2, 3, 4, 5, 6, 7, 8,9,10,11, 12, 13,14, 15, 16,17, 18, 19, 20 21, 22, 23, 24, 25, 26, 27, 28, 29, 30.
Minimum = 1
First Quartile = 7 + 8
2
= 15/2
= 7.5
Median = 15+ 16
2
=31/2
=15.5
Third Quartile = 15 + 16
2
= 31/2
= 15.5
Maximum = 30
five - number summary = Minimum number + Lower quartile (Q₁) + median (Q₂) + Upper quartile (Q₃) + maximum number
five - number summary = 1 + 7.5 + 15.5 + 23.5 + 30 = 77.5
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PLEASE ANSWER TOADAY !!!!!!!!!!!!!!!!!
Answer:
most likely next spring
Step-by-step explanation:
Step-by-step explanation:
Part C: Charlie designs a square garden. Each side length is 3x + 5.
The perimeter of Charlie's garden is how much larger than the perimeter of Shawn's
garden?
Answer:
To answer this question, we first need to determine the perimeter of Shawn's garden. If we let x represent the side length of Shawn's garden, then the perimeter of Shawn's garden would be 4x.
Now, the perimeter of Charlie's garden is 12x + 20, which is 8x + 20 larger than the perimeter of Shawn's garden (4x). Therefore, the perimeter of Charlie's garden is 8x + 20 larger than the perimeter of Shawn's garden.
Help me with this please
nswer:
Step-by-step explanation:
6*[tex]10^{6}[/tex]------100
x-------40
x=6*10^6*4*10/100=24*10^5(social media)
6*[tex]10^{6}[/tex]------100
y-------30
y=6*10^6*3*10/100=18*10^5(music)
6*[tex]10^{6}[/tex]------100
z-------25
z=6*10^6*25/100=15*10^5(games)
6*[tex]10^{6}[/tex]------100
f-------5
f=6*10^6*5/100=3*10^5(video)
mark bike shop rents bikes for 8+5 per hour. jermaine paid $33 to rent a bike. how many hours did he rent the bike for
Answer:
He rented the bike for 5 hours.
Step-by-step explanation:
Fixed rate for renting a bike is $8 and rate per hour for renting is $5.
Amount paid by Jermaine is $33.
To find the hourly rent amount that he paid, subtract the fixed rate ($8) from total amount $33.
Rent amount for the bike = 33 - 8
= $ 25
Number of hours rented = 25 ÷ 5
= 5 hours
A company is designing a new cylindrical package. The volume of the package is 87.92 in.3. The radius is 2 inches. Use the formula V = Bh and 3.14 to approximate π
to answer the questions.
Part A
To the nearest inch, how many inches is the height of the cylindrical package?
Part B
The company decides to keep the radius the same and double the height. Rounded to the nearest hundredth, how many cubic inches is the new volume of the package?
The height of the cylinder is 7 inches and the the new volume of the package is 175.84 cubic inches
What is the height of the cylindrical package1. The formula for the volume of a cylinder is V = Bh, where B is the base area and h is the height. The base of the cylinder is a circle, and the formula for the area of a circle is A = πr^2.
Substituting the given values into the formula for the volume of a cylinder, we get:
87.92 = πr^2h
87.92 = 3.14(2^2)h
87.92 = 12.56h
h = 87.92/12.56
h ≈ 7
Rounding to the nearest inch, the height of the cylindrical package is 7 inches.
Part B:
If the company doubles the height while keeping the radius the same, the new height will be 2h. Therefore, the new volume will be:
V = πr^2(2h) = 2πr^2h
Substituting the given values into this formula, we get:
V = 2(3.14)(2^2)(2h)
V = 25.12h
To find the new volume, we need to substitute the value of h from Part A into this formula:
V = 25.12(7)
V ≈ 175.84
Rounding to the nearest hundredth, the new volume of the package is 175.84 cubic inches.
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WILL MARK BRAINLIEST.
Two angles of a triangle measure 41° and 44°.
What is the measure of the third angle?
OA) 75°
OB) 85°
OC) 95°
OD) 105°
Answer:
the answer is c 95
Step-by-step explanation:
180-41-44=95
a triangle has 180 degrees
Answer: I think A. 75
Step-by-step explanation: why not pick A……
Hope this helps^^
What is 15/16 as a decimal?
The decimal form of 15/16 is 0.9375.
To convert a fraction to a decimal, you can divide the numerator by the denominator. In this case, 15 divided by 16 equals 0.9375.
Alternatively, you can also use long division to find the decimal form of a fraction.
1. Set up the long division problem with 15 as the dividend and 16 as the divisor.
2. Since 16 does not go into 15, add a decimal point and a zero to the dividend.
3. Divide 16 into 150, which equals 9 with a remainder of 6.
4. Add another zero to the dividend and divide 16 into 60, which equals 3 with a remainder of 12.
5. Add another zero to the dividend and divide 16 into 120, which equals 7 with a remainder of 8.
6. Add another zero to the dividend and divide 16 into 80, which equals 5 with no remainder.
7. The final answer is 0.9375.
So, 15/16 as a decimal is 0.9375.
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The length of the sides of a triangle is 15cm, ycm and (y-2)cm. If the area is less than 80cm2(square).Find the possible values of y
Answer:
We can use Heron's Formula to calculate the area of a triangle given its three side lengths. The formula is:
A = √(s*(s-a)*(s-b)*(s-c)),
where s = (a + b + c)/2, a, b and c are the three sides of the triangle.
In this case, a = 15, b = y and c = (y-2). Therefore, we can plug these numbers in to get:
80 > √[(y + 7.5) * (y - 7.5) * (y - 2) * (y - 15)]
We can simplify this equation to get:
y^2 - 5y - 80 > 0
This equation can be solved using the quadratic formula, where the solution for y is:
y < 14.09 or y > 10.91
Therefore, the possible values for y are any number between 10.91 and 14.09.
How do I convert a string to an int in Matlab?.
In MATLAB, you can convert a string to an integer using the str2double() or str2num() function. Both functions convert a string to a double-precision floating-point number, but str2num() also supports the conversion of strings to other numeric data types.
Here's an example of how to convert a string to an integer using str2double():
str = '123'; % string to convert to integer
num = str2double(str); % convert the string to a double-precision number
int = int32(num); % convert the double-precision number to a 32-bit integer
In this example, the str variable contains the string '123', which we want to convert to an integer. We first use the str2double() function to convert the string to a double-precision number, which we then convert to a 32-bit integer using the int32() function.
Alternatively, you can use the str2num() function to convert the string directly to an integer:
str = '123'; % string to convert to integer
int = int32(str2num(str)); % convert the string to a 32-bit integer
In this example, we use the str2num() function to convert the string directly to a 32-bit integer, and then assign the result to the int variable.
It is important to note that if the string cannot be converted to a number, both functions will return NaN (Not a Number). Additionally, if the string represents a number that is too large to be represented by an integer, the result will be rounded or truncated.
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At a high school, the probability that a student is a senior is 0.25. The
probability that a student plays a sport is 0.20. The probability that a student
is a senior and plays a sport is 0.08.
What is the probability A that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.32
• B. 0.08
• C. 0.25
• D. 0.17
The probability a that a randomly selected student plays a sport, given that the student is a senior is 0.32
How to determine the probabilityFrom the question, we have the following parameters that can be used in our computation:
The probability that a student is a senior is 0.25. The probability that a student plays a sport is 0.20. The probability that a student is a senior and plays a sport is 0.08.Using the above as a guide, we have the following:
P(Sport Given Senior) = 0.08/0.25
Evaluate
P(Sport Given Senior) = 0.32
Hence, the probability is 0.32
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ERROR ANALYSIS Describe and correct the error in finding the difference.
X
(x²+x) - (2x²-3x)
= (x²+x) + (-2²-3r)
= (x^² - 2x²) + (x²-3x)
=-2²-2x
The error is in the second part of the solution.
What is an expression?The definition of an expression in math is a statement composed of terms and operations. The terms may be constant (numbers), or variables with coefficients. The operations may be addition, subtraction, multiplication, or division.
Given that the difference of two expressions, (x²+x) - (2x²-3x), we need to find the error in the solution given,
= (x²+x) - (2x²-3x)
= (x²+x) + (-2²-3x) [Error here]
= (x² - 2x²) + (x²-3x)
= -2²-2x
The error is in the second step,
(x²+x) + (-2²-3x)
When we multiply - sigh with a - sign, we will get a positive sign,
So, the correct step is =
(x²+x) + (-2²+3x)
The correct solution is =
= (x²+x) - (2x²-3x)
= x²+x-2x²+3x
= -2x²+4x
= 2x(2-x)
Hence, the error is in the second part of the solution.
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