find the difference
5/6-7/10
Answer:
2/15
Step-by-step explanation:
BRANIEST PLS
Answer: 2/15 is the answer hope this help
Step-by-step explanation:
The diagram below shows a large cone divided horizontally into two parts A and B. Given that the vertical height of A and B are equal, and that the volume of A is x cm³. Express the volume of the entire large cone in terms of x. [2] If the volume of part B is 3500 cm³, calculate the volume of cone A. [2]
Answer:
3500cm3
Step-by-step explanation: since A and B are equal, and B has a volume of 3500 cm3 then A will have the same.
Extra: The horizontal measure of A is 1500 and the verticle is 1500
Find integer matrices A,B not multiples of each other such that Nul(A)=Nul(B) and Col(A)=Col(B).
The matrices A and B that were defined are the integer matrices:
A = [1 0 0; 0 1 0]
B = [1 1 0; 0 0 0]
Both A and B are integer matrices, and they have the same null space and column space but are not multiples of each other. Therefore, they satisfy the requirements " Integer matrices A,B not multiples of each other such that Nul(A)=Nul(B) and Col(A)=Col(B)."
Let A and B be 3x3 matrices given by:
A = [1 0 0; 0 1 0]
B = [1 1 0; 0 0 0]
We can see that A and B have the same null space and column space, but they are not multiples of each other. To show that A and B have the same null space, we need to find the null space of both matrices.
For A, we need to solve the equation Ax = 0:
[1 0 0; 0 1 0] [x1; x2; x3] = [0; 0]
This Equations has the unique solution x = [0; 0; 0], so null space of A is the trivial subspace {0}.
For B, first solve the equation Bx = 0:
[1 1 0; 0 0 0] [x1; x2; x3] = [0; 0]
This equations has the general solution x = [-x2; x2; x3], where x2 and x3 are arbitrary integers, so null space of B is the subspace spanned by the vector [-1; 1; 0].
Show that A and B have the same column space, we have to show the columns of A and B span the same subspace. The columns of A are [1; 0] and [0; 1], which span the entire 2-dimensional space. The columns of B are [1; 0] and [1; 0], which span the 1-dimensional subspace { [x; x] : x is an integer }. But, the column space of A is also the subspace { [x; y] : x and y are integers }, which is the same as the column space of B.
Therefore, A and B have the same column space.
Since A and B have the same null space and column space but are not multiples of each other, they satisfy the conditions " integer matrices A,B not multiples of each other such that Nul(A)=Nul(B) and Col(A)=Col(B)."
To know more about Integer Matrices:
https://brainly.com/question/29348107
#SPJ4
Ravi is going to rent a truck for one day. There are two companies you can choose from and they have the following prices. Company A charge is $83 and allows unlimited mileage. Company B has an initial fee of $65 in charges an additional $.90 for every miles driven. For what mileages will company A charge less than Company B? Use m for the number of miles driven and solve your inequality for m.
Given:
Two companies to rent a truck.
Let the number of miles = m
Let y = the total charge to rent a truck
Company A charge is $83 and allows unlimited mileage.
So, y1 = 83
Company B has an initial fee of $65 in charges an additional $.90 for every mile driven.
So, y2 = 65 + 0.9m
We will find when will company A charge less than Company B
So, y1 < y2
So, the inequality will be as follows:
\(83<65+0.9m\)Solve for m:
\(\begin{gathered} 83-65<0.9m \\ 18<0.9m \\ \frac{18}{0.9}20 \end{gathered}\)So, company A charges less than Company B when the number of miles greater than 20 miles
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg and 81 kg. What is the mass of the fifth man
The mass of the fifth man is 153 kg.
The mean mass of five men is 76 kg.
The masses of four of the men are 72 kg, 74 kg, and 81 kg.
To solve this problem, we need to apply the concept of the mean of a set of data.
The mean is the average of all the values in a set of data.
It is calculated by adding up all the values and dividing by the total number of values in the set.
To find the mass of the fifth man, we need to use the mean of the entire set and the masses of the four men that are already given.
The formula to find the mean of a set of data is:
\(Mean = \frac{(sum of all the values)}{(total number of values)}\)
Let x be the mass of the fifth man.
Then we can write an equation using the given information:
\(Mean = \frac{(72 + 74 + 81 + x)}{5}\)
Substitute the given mean of 76 kg into the equation and solve for x:
\(76 = \frac{(72 + 74 + 81 + x)}{576 × 5} = 227 + x\)
Multiply both sides by 5:
\(380 = 227 + x\)
Subtract 227 from both sides:
\(153 = x\)
Therefore, the mass of the fifth man is 153 kg.
For such more questions on mass
https://brainly.com/question/86444
#SPJ8
f(-5) if f(x) = -x - 4
Answer:
1
Step-by-step explanation:
Samuel bought four adult tickets to a movie for $48. Erica bought 3 adult tickets to a movie at a different theater. Erica paid $2.50 more than Samuel for each movie ticket she bought. How much did Erica spend on her movie ticket purchase?
Answer: £43.50
Step-by-step explanation:
each ticket from samuel is £12 if erica is spending £2.50 more per ticket that is £14.50 per ticket. £14.50 x 3 = £43.50
Solve for v.
13v=9v+12
3
Simplify your answer as much as possible.
Answer:
X=3
Step-by-step explanation:
1-move the (9v) to the other side and change it to negative and it will be (13v-9v=12)
2-Collect like terms and it will be (4v=12)
3-Divide both sides on 4 and it will be (v=3)
Stan and Talia each went to see a movie. Both movies started at 7:15.
Stan's movie ended at 9:40.
Talia's movie ended at 10:10.
Part A
Use the drop-down menus to complete the sentence about the length of Stan's movie.
Stan's movie lasted
Choose...
hours and
Choose...
minutes.
Part B
Use the drop-down menus to complete the sentence that compares the length of the two movies.
Talia's movie lasted
Choose...
hours and
Choose...
minutes longer than Stan's movie.
The length of Stan's movie is 2 hours 25 minutes
The length of Talia's movie is 2 hours 55 minutes.
What are the length of the movies?In order to determine the length of the movies, subtract the end time of the movie from the time the movie started.
Subtraction is the mathematical operation that is used to calculate the difference between two or more numbers. The sign that is used to represent subtraction is -.
Length of the movie = time the movie ended - time the movie started
Length of Stan's movie = 9:40 - 7:15 = 2 : 25 hours
Length of the Talia's movie = 10 : 10 - 7 : 15 = 2 : 55 hours
To learn more about how to calculate time, please check: https://brainly.com/question/26290873
#SPJ1
A solid silver spoon has a mass of 65.1g.
The volume of the spoon is 6.2cmº.
Calculate the density of silver.
Answer:
D=M/V
D=65.1/6.2
Density is 10.5 grams per centimetre cube
Step-by-step explanation:
what is the answer to b²-17b-38
Answer:
Step-by-step explanation:
I hope this helps you
if you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose
Answer:
300 ft^2
Step-by-step explanation:
Multiply 30 by 10
The largest possible area that we can enclose in a form of a rectangle with a perimeter of 80 ft is 399 sq feet.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
Given, I have 80 feet of fencing.
Assuming the length of the wall to be 'l' and the width of the wall to be 'w'.
∴ 2(l + b) = 80.
l + b = 40.
So, the sum of length and width is 40, now l + b can be 20 + 20 but that would be a square and give us maximum area but we need a rectangle.
We know the product of the sum of two numbers is maximum when the difference between them is minimum.
∴ The maximum rectangular area we can enclose is when the length is 21 and the width is 19.
Area = 21×19 sq feet.
= 399 sq feet.
learn more about rectangles here :
https://brainly.com/question/15019502
#SPJ5
what is measure q,r and s
The measure of angles:
∠S = 72
∠Q = 72
∠R = 180
In the given trapezium
∠P = 108 degree
We know that for a trapezium,
The sum of the angles of two adjacent sides = 180°.
Therefore,
∠S + 108 = 180
⇒ ∠S = 72 degree
And
∠Q + 108 = 180
⇒ ∠Q = 72 degree
Now.
∠S + ∠R = 108
⇒ 72 + ∠R = 180
⇒ ∠R = 108 degree
Hence,
∠S = 72
∠Q = 72
∠R = 180
To learn more about trapezium visit|:
https://brainly.com/question/27807524
#SPJ1
What is a definition of Domain of a function in math?
PLS HELP ME WITH THIS!!!
option C is the correct answer. sin β = 15 / 17
How to work itGiven data
Right angled triangle has sides
opposite = 15
adjacent = 8
Hypotenuse = 17
sin β = opposite / hypotenuse
substituting the values gives
sin β = 15 / 17
Read more on SOH CAH TOA here: https://brainly.com/question/20020671
#SPJ1
1)In a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of
A)zero.
B)-1.
C)1.
D)any value.
In a multiple regression model, the error term (often denoted as ε or e) is assumed to be a random variable with a mean of zero.
This assumption is a key component of the regression model and is often referred to as the assumption of zero conditional mean or the assumption of homoscedasticity. The assumption of a mean of zero for the error term means that, on average, the errors have no systematic bias or tendency to overestimate or underestimate the predicted values. It implies that the model's predictions are unbiased and that any deviations from the true values are due to random chance or other factors not captured by the model. The other options presented in the answer choices (B) -1, (C) 1, and (D) any value are incorrect. The mean of the error term is specifically assumed to be zero, as it represents the average deviation of the observed values from the predicted values in the model.
Learn more about regression model here: brainly.com/question/31922862
#SPJ11
PLEASE HELP whoever answers all of them and first i’m giving brainliest.
Answer:
1. To solve a one-variable equation, it may be necessary to first multiply by using the Distributive Property
2. The next step is to combine like terms as needed.
3. Then solve for the variable by applying inverse operations.
4. If solving lead to a true equation, then the equation has infinitely many solutions.
5. if solving leads to an untrue equation, then the equation has no solution.
Adam is going to make concerte He Is going to use 180kg of cement 375kg of sand 1090kg of stone Cement, sand, stones are sold in bags: 1 bag cement is 25kg 1 bag sand is 22.5kg 1 bag stone is 50kg Adam already has 8 bags of cement 19 bags of sand 29 bags of stones Work out what bags he needs to buy to make the concrete. Working must be shown
Answer:
The answer is "90 kg stone ".
Step-by-step explanation:
Adam's got:
\(\to 8 \times 25 = 200 \\\\\to 19 \times 22.5 = 427.5 \\\\\to 20 \times 50 = 1000 \\\\\)
He's got enough sand and cement
The stone value:
\(\to 1090-1000 = 90 \ kg\)
He has 2 stone bags.
Maya is asked to solve the equation 2(3x + 6) - 3(x - 10). The table shows her steps.Step 1: 6x + 12 = 3(x - 10)Step 2: 6x + 12 = 3x + 30Step 3: 3x + 12 = 30Step 4:3x = 18Step 5: x= 6Where did Maya make a mistake in solving the equation, and why?A. Maya made a mistake between the Given and Step 1 because she did not correctly distribute 2 to (3x + 6).B. Maya made a mistake between Step 1 and Step 2 because she did not correctly distribute 3 to (x10).C. Maya made a mistake between Step 2 and Step 3 because she did not correctly subtract 3x from 6x.D. Maya made a mistake between Step 3 and Step 4 because she did not correctly subtract 12 from 30.
Let's solve the following equation to see where Maya made a mistake:
2 (3x + 6) = 3 (x - 10)
Step 1: Solving parenthesis
6x + 12 = 3x - 30
Step 2: Like terms
6x - 3x = -30 - 12
Step 3: Complete the subtractions at both sides
3x = -42
Step 4: Dividing by 3 at both sides
3x/3 = -42/3
x = -14
Maya didn't multiply correctly 3 * - 10
Yes, Javionery, option B is the correct one.
What is the term that relates to the way data tend to cluster around some middle or central value.
Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.
Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.
To learn more about Central tendency, refer:
https://brainly.com/question/1288901
#SPJ4
PLEASE HEEEEEEEEELP ME............
Answer:What do you need help with? My name is woods245 and whatever you need help with?
Step-by-step explanation:
a force is applied tyo a 2kg radio controlled model car parallel to the x axis as it moves along a straight track. The x-component of the forces varies with the x-coordinate of the car as shown in the figure.
no title provided
Calculate the work done by the force F when the car moves from x=4.0m to x=7.0m.
W=___J
Calculate the work done by the force F when the car moves from x=0 to x=7.0m.
W=___J
Calculate the work done by the force F when the car moves from x=7.0m to x=2.0m
W=___J
Therefore, According to the given information: W = 30 J (x=4.0m to x=7.0m), W = 40 J (x=0 to x=7.0m and x=7.0m to x=2.0m)
To calculate work, we use the formula W = F * d * cos(theta), where F is the force applied, d is the distance moved, and theta is the angle between the force and displacement vectors. Since the force is parallel to the x-axis, theta = 0 and cos(theta) = 1.
For the first question, the force is constant between x=4.0m and x=7.0m, so we can use W = F * d = (10 N)(3.0 m) = 30 J.
For the second question, we need to split the distance into segments where the force is constant. From x=0 to x=2.0m, the force is 0 N, so no work is done. From x=2.0m to x=4.0m, the force is 5 N, so W = (5 N)(2.0 m) = 10 J. From x=4.0m to x=7.0m, the force is 10 N, so W = (10 N)(3.0 m) = 30 J. Adding these up gives W = 40 J.
For the third question, we use the same approach as the second question but in reverse. From x=7.0m to x=4.0m, the force is 10 N, so W = (10 N)(3.0 m) = 30 J. From x=4.0m to x=2.0m, the force is 5 N, so W = (5 N)(2.0 m) = 10 J. From x=2.0m to x=0, the force is 0 N, so no work is done. Adding these up gives W = 40 J.
Therefore, According to the given information: W = 30 J (x=4.0m to x=7.0m), W = 40 J (x=0 to x=7.0m and x=7.0m to x=2.0m)
To know more about equations visit:
https://brainly.com/question/22688504
#SPJ11
Find x.
○6.2
○7.8
○8.2
○4.2
Answer:
the answer is 4.2 .................
In parallelogram RSTU, UR = 27,
RX = 19, and m∠URS= 46. 3. Find ST
In parallelogram RSTU with UR = 27, RX = 19, and m∠URS = 46.3°, the length of ST is approximately 20.396 units.
To find the length of ST in parallelogram RSTU, we can use the given information and apply the properties of parallelograms.In a parallelogram, opposite sides are congruent. Therefore, since UR = ST, we can conclude that ST = 27.
Now, let's focus on triangle URS. We know that UR = 27 and RX = 19. Also, m∠URS = 46.3 degrees.
Using the Law of Cosines, we can find the length of US:
US² = UR² + RX² - 2 * UR * RX * cos(m∠URS)
US² = 27² + 19² - 2 * 27 * 19 * cos(46.3)
US² ≈ 729 + 361 - 988.2 * 0.6811
US² ≈ 729 + 361 - 673.45
US² ≈ 416
Taking the square root of both sides, we get:
US ≈ √416
US ≈ 20.396
Since ST is opposite to US in parallelogram RSTU, ST is also approximately 20.396.
Therefore, the length of ST is approximately 20.396 units.
To learn more about parallelogram click here
brainly.com/question/1563728
#SPJ11
what would happen if 300 people were sampled instead of 200, and the confidence level remained the same?
If 300 people were sampled instead of 200, and the confidence level remained the same, it would produce a more accurate result.
Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 students. In statistics, sampling allows you to test a hypothesis about the characteristics of a population.
This is because a larger sample size allows for a better representation of the population, providing a more accurate result. Additionally, with a larger sample size, the confidence interval of the sample would be narrower, indicating a higher level of confidence in the accuracy of the result.
To learn more about sampling refer :
https://brainly.com/question/6979326
#SPJ11
A security car is parked 25 ft from a movie theater. Find at what speed the reflection of the security strobe lights is moving along the wall of the movie theater when the reflection is 30 ft from the car. The strobe lights are rotating with the speed 2 revolutions per second.
Answer:
v=20π ft/s
Step-by-step explanation:
Given:
Distance from the security car to the movie theater, D=25 ft
Distance of the reflection from the car, d=30 ft
Speed of rotation of the strobe lights, 2 rev/s
To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.
We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.
ω=2πf
=> ω=2π(2)
=> ω=4π rad/s
The distance between the security car and the reflection on the wall of the theater is...
r=30-25= 5 ft
The speed of reflection is given as (this is the linear velocity)...
v=ωr
Plug our know values into the equation.
v=ωr
=> v=(4π)(5)
∴ v=20π ft/s
Thus, the problem is solved.
The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.
To solve this problem, we can use the concept of related rates. Let's consider the following variables:
x: Distance between the security car and the movie theater wall
y: Distance between the reflection of the security strobe lights and the security car
θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights
We are given:
x = 25 ft (constant)
y = 30 ft (changing)
θ = 2 revolutions per second (constant)
We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.
Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:
x^2 + y^2 = z^2
Differentiating both sides of the equation with respect to time (t), we get:
2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)
Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.
Plugging in the known values, we have:
2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)
Simplifying the equation, we find:
60(dy/dt) = 120π
Dividing both sides by 60, we get:
dy/dt = 2π ft/s
For more such question on speed. visit :
https://brainly.com/question/26046491
#SPJ8
use the chain rule to find dz/dt. z = tan−1(y/x), x = et, y = 9 − e−t
The rate of change of z with respect to t is given by [9e^t - e^(2t) - e^(-t)] / (e^(2t) + (9 - e^(-t))^2).
To use the chain rule to find dz/dt, we first need to find the partial derivatives of z with respect to x and y.
∂z/∂x = 1/(1 + (y/x)^2) * (y/x^2) = y/(x^2 + y^2)
∂z/∂y = -1/(1 + (y/x)^2) * (1/x) = -x/(x^2 + y^2)
Now we can apply the chain rule:
dz/dt = ∂z/∂x * dx/dt + ∂z/∂y * dy/dt
Substituting in the given values:
dx/dt = e^t
dy/dt = e^(-t)
x = e^t
y = 9 - e^(-t)
∂z/∂x = y/(x^2 + y^2) = (9 - e^(-t)) / (e^(2t) + (9 - e^(-t))^2)
∂z/∂y = -x/(x^2 + y^2) = -e^t / (e^(2t) + (9 - e^(-t))^2)
Substituting these into the chain rule formula:
dz/dt = [(9 - e^(-t)) / (e^(2t) + (9 - e^(-t))^2)] * e^t + [-e^t / (e^(2t) + (9 - e^(-t))^2)] * e^(-t)
Simplifying:
dz/dt = [9e^t - e^(2t) - e^(-t)] / (e^(2t) + (9 - e^(-t))^2)
Therefore, the rate of change of z with respect to t is given by [9e^t - e^(2t) - e^(-t)] / (e^(2t) + (9 - e^(-t))^2).
Learn more about the chain rule
brainly.com/question/30117847
#SPJ11
Harry took a loan from the bank. D represents Harry's remaining debt (in dollars) after t months. D = -200t + 9000 What was the size of Harry's loan? Please HELPPP Im not allowed to stand up from my chair until i finish this and i've been at it for 1 HOUR PLEASEEEEEEEEEE thank you so much to who ever answers this YOU ARE THE BESTTTTTTT
Answer:
9000
Step-by-step explanation:
the inital ammout which is 9k is the size of the loan
-200 because he years 200 dollars per month
but the start up number is 9000 and he repays the load at 200 dollars a month
The number of main effects that need to be examined is _________ the number of independent variables.
Answer: the same as,
Step-by-step explanation:
Main effects is a term used to describe the impact an independent variable has on a dependent variable, this is usually averaged across any other independent variable.
Independent variables are variables that do not depend on other variables, they are variables that stand on their own.
Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients.
(i)4u^2+8u
Answer:
Hello,
Step-by-step explanation:
Since 4u²+8u=4u(u+2)
Zeroes ={0,-2}
Coefficients={4,8}
But i don't know the relationship.