What is the length of BD?
Answer:
thank you for letting me have the points!
Step-by-step explanation:
The number of radians in a 540-degree angle can be written as aft, where a is a constant, What
is the value of a ?
Answer:I think Im not sure
But i will try 540 degress can be written as aft
Step-by-step explanation:
Answer: a=3
Step-by-step explanation:
trust
11 points! Will give brainliest!!!!
21 is the right answer.
Mark me the brainliest
Please Answer.\
I am in so much tension already
Answer:
1:B
2:B
3:C
Step-by-step explanation:
HOPE IT'LL HELP :)
Use the interactive number line to find -3.2 - 4.
Answer:
-7.2
Step-by-step explanation:
Since -3.2 is the first number, this will be the starting point in the number line.
Since we are subtracting, we are going to go 4 units to the left.
-3.2 - 4 = -7.2
Best of Luck!
Answer:
-7.2
Step-by-step explanation:
Roses are red
Violets are blue
I hate Edgenuit y
and so do you
Solve for xxx:
34 = -2x
Answer:
x = -17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
34 = -2x
Step 2: Solve for x
Rewrite: -2x = 34[Division Property of Equality] Divide -2 on both sides]: x = -17Answer:
34 = -2(x) = 34 divided by -2 = x
34 divided by -2 = -17
-2 x -17 = 34
34 = -2(x) = 34 = -2(-17)
Hope it helps
Step-by-step explanation:
Consider two random variables, X and Y, which are linearly related by Y=15 - 2X. Suppose the
variance of X is 6. What are the conditional expectation E[Y X=2] and the variance of Y, var(Y)?
The conditional expectation E[Y|X=2] is 11, and the variance of Y, var(Y), is 24, given the linear relationship Y = 15 - 2X and a variance of 6 for X.
The conditional expectation E[Y|X=2] represents the expected value of Y when X takes on the value 2.
Given the linear relationship Y = 15 - 2X, we can substitute X = 2 into the equation to find Y:
Y = 15 - 2(2) = 15 - 4 = 11
Therefore, the conditional expectation E[ Y|X=2] is equal to 11.
To calculate the variance of Y, var(Y), we can use the property that if X and Y are linearly related, then var(Y) = b^2 * var(X), where b is the coefficient of X in the linear relationship.
In this case, b = -2, and the variance of X is given as 6.
var(Y) = (-2)^2 * 6 = 4 * 6 = 24
Therefore, the variance of Y, var(Y), is equal to 24.
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Brianna is buying a house for $210,000. She plans to make a 14% down payment. Closing costs include $650 for 6 months of homeowners insurance, $600 for 6 months of property tax, $125 for the title fee, and $350 in transaction fees. Brianna also agreed to pay two points in exchange for a 0.5% reduction in interest rate. Determine the amount of money Brianna needs to cover closing costs. Round your answer to the nearest cent.
The price of a train ticket consists of an initial fee of \$5$5dollar sign, 5 plus a fee of \$2.75$2.75dollar sign, 2, point, 75 per stop. julia has \$21$21dollar sign, 21 and would like to travel 505050 kilometers. she wants to know the largest number of stops she can afford to buy on a ticket. let sss represent the number of stops that julia buys. 1) which inequality describes this scenario?
An inequality that represents given scenario is 5 + 2.75x ≤ 21
For given question,
The $21 means that there is a limit to the number of stops she can take using the train.
From given information, we have the following parameters:
Initial Fee = $5
Rate per stop = $2.75
Amount = $21
The inequality that represents the scenario is calculated using:
Initial Fee + Rate × Number of stops ≤ Amount
We use ≤ because the total charges must not exceed the amount.
Let the number of stops be x.
The above formula becomes
5 + 2.75x ≤ 21
Therefore, an inequality that represents given scenario is 5 + 2.75x ≤ 21
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Mya tests out her new drone by sending it farther and farther away before dropping it to the ground. These distances follow the arithmetic sequence 11 m, 22 m, 33 m, ..., 77 m. What is the total distance that Mya's drone travels during the tests?
Answer:
308m
Step-by-step explanation:
11+22+33+44+55+66+77=308
please help I will give you any award
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
One force is pushing an object in a direction 50 degree south of east with a force of 15 newtons. A second force is simultaneously pushing the object in a direction 70 degree north of west with a force of 56 newtons. If the object is to remain stationery, give the direction and magnitude of the third force which must be applied to the object to counterbalance the first two. The magnitude is | | = newtons. The direction is degrees south of east. Carry out, all calculations to full accuracy but round your final answer to 2 decimal places.
The third force that must be applied to the object to counterbalance the first two forces has a magnitude of 52.51 newtons and is directed approximately 43.15 degrees south of east.
To counterbalance the first two forces and keep the object stationary, we need to find the magnitude and direction of the third force. We can use vector addition to determine the net force on the object.
Given:
Force 1: 15 newtons at 50 degrees south of east
Force 2: 56 newtons at 70 degrees north of west
To find the net force, we add the two forces together:
Net force = Force 1 + Force 2
To add the forces, we can break them down into their horizontal (x) and vertical (y) components. Then, we can add the x-components and the y-components separately.
Force 1:
Horizontal component = 15 newtons * cos(50°)
Vertical component = 15 newtons * sin(50°)
Force 2:
Horizontal component = 56 newtons * cos(70°)
Vertical component = -56 newtons * sin(70°) (negative because it's in the opposite direction of the positive y-axis)
Net force:
Horizontal component = Force 1 (horizontal component) + Force 2 (horizontal component)
Vertical component = Force 1 (vertical component) + Force 2 (vertical component)
The magnitude of the net force can be found using the Pythagorean theorem:
Magnitude = sqrt((Horizontal component)^2 + (Vertical component)^2)
The direction of the net force can be found using the inverse tangent function:
Direction = atan2(Vertical component, Horizontal component)
After performing the calculations, the magnitude of the net force is approximately 52.51 newtons, and the direction is approximately 43.15 degrees south of east.
Therefore, the third force that must be applied to the object to counterbalance the first two forces has a magnitude of 52.51 newtons and is directed approximately 43.15 degrees south of east.
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What are the three types of horizontal asymptotes?
There are 3 cases to consider when determining horizontal asymptotes:
1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)
2) Case 2: if: degree of numerator = degree of denominator.
3) Case 3: if: degree of numerator > degree of denominator.
What is the sum of the infinite series 1−( 2
π
) 2
3!
1
+( 2
π
) 4
5!
1
−( 2
π
) 6
7!
1
+⋯+( 2
π
) 2n
(2n+1)!
(−1) n
+⋯ ? 0 π
2
1 (D) 2
π
The given series can be written as:
sum = sin(2π) = 0
The sum of the infinite series is 0.
To find the sum of the infinite series 1 - (2π/2!)^2/1 + (2π/4!)^2/1 - (2π/6!)^2/1 + ⋯ + (2π)^(2n)/(2n+1)!*(-1)^n + ⋯, we can use the concept of the Taylor series expansion of a function.
The given series resembles the expansion of the sine function, sin(x), where x = 2π. The Taylor series expansion of sin(x) is:
sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ⋯ + (-1)^n * x^(2n+1)/(2n+1)! + ⋯
Comparing the given series with the expansion of sin(x), we can see that the terms are similar, except for the factor of (-1)^n.
Therefore, the given series can be written as:
sum = sin(2π) = 0
The sum of the infinite series is 0.
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Ayuden por favor, no entiendo este problema
We will get that the angle theta is:
θ = β/2
How to find the value of theta?Remember that the sum of the interior angles of any triangle must be equal to 180°.
Now, looking at the triangle in the left, we can see that the top angle is equal to:
180 - 2α
The right angle is equal to:
180 - 2β
And the left angle is α
Then we can write:
α + (180 - 2α) + (180 - 2β) = 180
-α - 2β = -180
α = 180 - 2β
Now we can go to the other triangle, where theta is, and write:
α + β + 2θ = 180
Replacing what we found above, we get:
180 - 2β + β + 2θ = 180
-β + 2θ = 0
θ = β/2
That is the best simplification we can get with the given diagram.
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Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
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6 cm
4.4 cm
2 cm
determine the total surface area of the figure.
The total surface area of the given cuboid is 94.4 square centimeter.
Given that, the dimensions of box are length=4.4 cm, breadth=2 cm and Hight=6 cm.
We know that, the total surface area of cuboid = 2(lb+bh+lh)
= 2(4.4×2+2×6+4.4×6)
= 2×47.2
= 94.4 square centimeter
Therefore, the total surface area of the given cuboid is 94.4 square centimeter.
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Which of the following pairs of sets are disjoint?
(i) {1, 2, 3, 4} and {x : x is a natural number and 4 ≤ x ≤ 6 }
(ii) {a, e, i, o, u} and {c, d, e, f}
(iii) {x : x is an even integer} and {x : x is an odd integer}
Answer: Two sets are disjoint if they have no elements in common.
(i) The first set is {1, 2, 3, 4} and the second set is {x : x is a natural number and 4 ≤ x ≤ 6}. The second set contains the numbers 4, 5, and 6. The first set contains the number 4. Therefore, the two sets have one element in common, which means they are not disjoint.
(ii) The first set is {a, e, i, o, u} and the second set is {c, d, e, f}. The two sets have the letter "e" in common, but no other elements in common. Therefore, they are not disjoint.
(iii) The first set is {x : x is an even integer} and the second set is {x : x is an odd integer}. Even and odd integers have different parity, so they have no elements in common. Therefore, these two sets are disjoint.
In summary, the only pair of sets that are disjoint is the set of even integers and the set of odd integers.
Step-by-step explanation:
Bryan created the model to solve 1/2 ÷ 1/8. Do you agree or disagree with his work? If Bryan made a mistake, explain how to solve the problem correctly.
Bryan should have split the \(\frac{1}{2}\) into four equal parts (not 8). Each smaller part is \(\frac{1}{8}\)
Note how \(\frac{4}{8}\) reduces to \(\frac{1}{2}\)
Since there are 4 smaller parts or groups, this means
\(\frac{1}{2} \div \frac{1}{8} = 4\)
Refer to the diagram below.
A loan of 1400 is to be repaid with quarterly payments at the end of each quarter for 3 years. If the rate of interest charged on the loan is 8% convertible semiannually, find the amount of each quarterly payment. (nearest cent)
The amount of each quarterly payment is approximately $146.73.
To calculate the amount of each quarterly payment, we can use the formula for the quarterly payment of an annuity
P = \(A * (1 - (1 + r)^(-n)) / r,\)
where P is the quarterly payment, A is the loan amount, r is the quarterly interest rate, and n is the number of quarters.
First, we need to convert the semiannual interest rate of 8% to a quarterly interest rate. Since there are two quarters in each semiannual period, the quarterly interest rate would be 8% divided by 2, which is 4%.
Next, we substitute the values into the formula
P = \(1400 * (1 - (1 + 0.04)^(-12)) / 0.04\),
= \(1400 * (1 - (1.04)^(-12)) / 0.04,\)
≈\(146.73.\)
Therefore, the amount of each quarterly payment is approximately $146.73.
An annuity is a series of regular payments made over a specific period of time. In this case, the loan of $1400 is to be repaid with quarterly payments. The interest on the loan is charged at a rate of 8% convertible semiannually, which means the interest is compounded twice a year. To determine the amount of each quarterly payment, we use the annuity formula and the quarterly interest rate, which is obtained by dividing the semiannual interest rate by 2. By substituting the values into the formula, we find that each quarterly payment amounts to approximately $146.73.
An annuity payment consists of both principal and interest components. In the beginning, a larger portion of each payment goes towards paying off the interest, while the remaining portion is applied towards the principal. As the loan is gradually repaid, the interest portion decreases, and the principal portion increases. The formula allows us to determine the fixed amount required for each payment, ensuring that the loan is fully repaid within the specified period.
It's important to note that the calculated amount of $146.73 is an approximation, and the actual payment may differ slightly due to rounding or any additional fees associated with the loan.
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Enter the mixed number as an improper fraction.
2
2
5
=
Answer:
12/5Step-by-step explanation:
2 2/5 is equal to 12/5 because...
1 2/5 = 7/5
2 2/5 = 12/5
You add five to the numerator for each 1 you get in the mixed number.
Hope this helps! <3
abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has $\frac{1}{2}$ fruit juice and $\frac{1}{2}$ sprite, but she decides it's too fruity. so she pours out $\frac{1}{4}$ of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?
The fraction of the punch that is now sprite is 5/8.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.
Let's assume the amount poured out was equal of both liquids:
Convert them into eighths:
Fruit juice: 4/8
Sprite: 4/8
Now to remove 1/4 total we need to remove 1 of each:
Fruit juice: 3/8
Sprite: 3/8
Now add those two we took off to the Sprite:
Fruit juice: 3/8
Sprite: 5/8
Therefore, the sprite is 5/8.
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Using the finite difference method to solve the following boundary value problem: d'y dy +P dx +qy=f(x), y(a) =ya y(b)=yb da² for a [a, b]. What is the system of equations in matrix form? Assume that the interval is broken up into N subinterval with width h and that the central difference approximation is used to approximate the derivatives as follows d'y(ar) dx² Yi+1-2y+Y-1 h² where p, q are constant. dy(x) Yi+1-₁-1 dr 2h
To solve the given boundary value problem using the finite difference method, the system of equations is expressed in matrix form. The central difference approximation is used to approximate the derivatives, and the interval [a, b] is divided into N subintervals with width h.
The matrix form of the system of equations involves constructing a tridiagonal matrix and solving a linear system. To solve the boundary value problem using the finite difference method, we approximate the derivatives using the central difference approximation. The derivative dy/dx is approximated as (Yi+1 - Yi-1)/(2h), where Yi represents the value of the function y at the ith grid point. The second derivative d²y/dx² is approximated as (Yi+1 - 2Yi + Yi-1)/h².
By applying the finite difference method to the given boundary value problem, we obtain a system of equations in matrix form. Let N be the number of subintervals, and h be the width of each subinterval. We divide the interval [a, b] into N subintervals, and let x0 = a, x1 = a + h, x2 = a + 2h, and so on, up to xN = b.
The system of equations can be written as AY = F, where Y is the vector of unknowns y at the grid points (Y1, Y2, ..., YN-1), and F is the vector of known values of f(x) at the grid points (f(x1), f(x2), ..., f(xN-1)). The matrix A is a tridiagonal matrix of size (N-1) x (N-1), where the main diagonal entries are 2/h² + p, the subdiagonal entries are -1/h², and the superdiagonal entries are -1/h².To solve the system of equations, we can use methods such as Gaussian elimination or matrix inversion. Once we find the values of Y, we obtain the numerical solution for y at the grid points.
In conclusion, the finite difference method for solving the given boundary value problem involves constructing a tridiagonal matrix A, forming the vector of unknowns Y, and the vector of known values F. Solving the linear system AY = F gives us the numerical solution for y at the grid points, allowing us to approximate the solution to the boundary value problem.
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Whats the answer for 18 ÷ 9 · 3.
Answer:6
Step-by-step explanation:
Answer:
18 : 9 · 3 = 2 · 3 = 6
Step-by-step explanation:
can i have help please i don't know the answer
Answer: 1.75=5n
Step-by-step explanation:
1.75 is being divided by n 5 times
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Answer:
ahhhh early again ty
Step-by-step explanation:
Answer:
Thank you so much! :)
Step-by-step explanation:
The figure shown is composed of a right rectangular prism attached to a right triangular
prism. The surface area of the figure is 130 cm?
What is the value of n, in centimeters?
n cm
4 cm
2 cm
Use the number pad to enter your answer in the box.
5 cm
cm
5 cm
4 cm
9514 1404 393
Answer:
n cm = 3 cm
Step-by-step explanation:
The total surface area is the sum of the base areas and the lateral area. The base areas are the sum of the areas of the rectangle and triangle that define the shape of the base.
The rectangle has dimensions 5 cm by n cm. The triangle is 5-2 = 3 cm high and 4 cm at the base. Then the front face area is ...
A = lw + 1/2bh
A = (5 cm)(n cm) +1/2(4 cm)(3 cm) = (6 +5n) cm²
The lateral area is the product of the perimeter of the base and the depth of the prism.
A = Ph
A = (5 cm + n cm + 2 cm + 5 cm + 4 cm + n cm)(4 cm) = (64 +8n) cm²
The total surface area is the sum of the areas of the two bases and the lateral area:
130 cm² = 2(6 +5n) cm² +(64 +8n) cm²
130 = 76 +18n . . . . . . divide by cm², collect terms
54 = 18n . . . . . . . . . subtract 76
3 = n . . . . . . . . . . divide by 3
The value of n in centimeters is 3 cm.
What is the angle of a in the above scalene triangle?
on average, a banana will last 6.5 days from the time it is purchased in the store to the time it is too rotten to eat. is the mean time to spoil greater if the banana is hung from the ceiling? the data show results of an experiment with 15 bananas that are hung from the ceiling. assume that that distribution of the population is normal.
No, the mean time to spoil is not necessarily greater if the banana is hung from the ceiling.
This can only be determined by analyzing the data from the experiment with 15 bananas. If the sample mean is greater than 6.5 days, then the mean time to spoil is greater when the banana is hung from the ceiling. If the sample mean is less than or equal to 6.5 days, then the mean time to spoil is not necessarily greater when the banana is hung from the ceiling.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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