Find the HCF of 12, 48 and 60​

Step-by-step explanation:

here is your answer, this is how it's solved

Answer: Check below

Step-by-step explanation:

Okay so the Pythagorean Theorem was made by some old guy and the formula is a^2+b^2=c^2. You ALWAYS have to subtract the leg of the triangle when your finding a leg. You squareroot the square of the two legs if your finding the hypotnuse. The Theorem can be used to find any side of the triangle ONLY IF its a right triangle. An adult might use it in real life like when your an architect trying to find how much material you should use to make something thats in the shape of a right triangle.

Ps. Sorry if there's a bunch of grammar mistakes since this is kinda rushed

Answer:

5/4

Step-by-step explanation:

Slope is y1-y2/x1-x2 so if you plug in the coordinates you get 4-(-1)/4-0 which you would get 5/4

Given the sequence:

Let's find the third term of the sequence.

To find the third term, a3, we have:

First find the second term, a2:

The second term is -5.

To find the third term, we have:

Therefore, the third term of the

Answer: 4

Step-by-step explanation:8 + 9 = 17 you take what he paid 13 and subtract 13 from 17 and you get 4. 4 is how many dollars off he got.

Mica, a minor, signs a contract to pay National Fitness Club a monthly fee for twenty-four months to use its facilities. Six months later, after reaching the age of majority, Mica continues to use the club. This act is ratification.

Mica's consistent utilization of the club's amenities and covering the monthly expense as an adult is, in essence, an acknowledgment and acknowledgment of the agreement that was initially established when they were underage.

Also, if a contract is made with a person under the age of majority, it is deemed as voidable, which implies that the minor can choose to nullify or terminate the contract without incurring any legal obligations.

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You will make an amount  of $58868 in four years

The given parameters are

Salary, a = $52,000

Raise, r = 3.15%

Number of years, n = 4

The above parameters is an illustration of an exponential function

An exponential function is represented as

A(n) = a * (1 +r)^n

Where a, r and n represents the parameters stated above

So, we have

A(4) = 52000 * (1 +3.15%)^4

Evaluate the sum

A(4) = 52000 * 1.0315^4

Evaluate the products

A(4) = 58868

Hence, the amount in four years is $58868

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Answer:

11/16

Step-by-step explanation:

7/8- (3/4*1/4)

7/8- (3/16)

11/16

:)

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

$240 - $80 = 160

\(\frac{160}{240} = \frac{2}{3}\)

\(\frac{160 | 80}{240 | 80}\) = 2/3

The price change that would lead to a margin call can be calculated using the formula: Price change = (Maintenance margin - Account balance) / (Number of contracts * Size of contract), Aprice decrease of 0.05 cents per pound would lead to a margin call.

1. Calculate the total initial margin:
  Total initial margin = Initial margin per contract * Number of contracts
  Total initial margin = $5,000 * 2 = $10,000
2. Calculate the total size of the contracts:
  Total size of contracts = Number of contracts * Size of contract
  Total size of contracts = 2 * 12,000 = 24,000 pounds

3. Calculate the account balance at which a margin call would occur:
  Account balance = Maintenance margin per contract * Number of contracts
  Account balance = $3,800 * 2 = $7,600
4. Calculate the price change that would lead to a margin call:
  Price change = (Maintenance margin - Account balance) / (Number of contracts * Size of contract)
  Price change = ($7,600 - $10,000) / (2 * 24,000)
  Price change = -$2,400 / 48,000
  Price change = -0.05 cents per pound
Therefore, a price decrease of 0.05 cents per pound would lead to a margin call.

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Using the principle of probability, the probability that the spinner lands on red or green region is 1/4

From the Spinner :

Total number of regions = 6

Number of green regions = 2

Number of red regions = 3

Recall : I’m lying :)

Probability = required outcome / Total possible outcomes

Required outcome = (2 + 3) = 5

P(Green or red) = 5/6

Therefore, the probability is 1/4

The statement that describes the candle is , The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour , Option A is the correct answer.

Rate of Change is the speed at which an object is changing its parameters , or the change of population with time etc.

It is given in the table that the starting height of the candle is 25 cm

The rate at which it is burning is determined as

Rate = (24.375 - 25 )/(0.25-0)  

= -0.25

- sign indicates the decrease in the height

The rate is 0.25

On the basis of the data

The statement that describes the candle is

The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour , Option A is the correct answer.

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The triangles in the image given are classified as:

11. isosceles 12. scalene 13. equilateral

Therefore:

11. The triangle has two congruent sides, therefore, it is classified as isosceles.

12. The triangle has different side lengths, therefore it is scalene.

13. All the three sides of the triangle are congruent, therefore, it is an equilateral triangle.

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Answer:

It might be 231.

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

3 + jk + k3

substitute j for 2

3 + 2k + k3

substitute k for 6

3 + (2*6) + (6*3)

3 + 12 + 18

33

Answer:

14.32

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-2, 8)

Point (11, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

43 coupons to existing members

Step-by-step explanation:

Overall, since they provided 6 times as many to potential members as to regular members, 6(potential members) + 1/6 of 6 ( for existing members)=7

301/7=43 existing members

To check our answer, we can do 43 + 43(6 for those potential members) and we get 301! Hope this helps!

Answer:

34

Step-by-step explanation:

multiply

Answer:

The angles given are supplementary..

95 x 103

= (100-5) x (100+3)

(x-a)(x+b)= x2+ x(-a+b) + ab

= 10000 - 100(2)  -15

= 9785

501 * 502

= (500+1)(500+2)

250000 + 500(3) + 2

=251502

Answer:

no

Step-by-step explanation:

If the relationship is not one-to-one, it can still be regarded as a function if it is a many-one relationship, which means that the function has the same y value for a variety of x values.

This cannot be a function if we flip it around and make it a one-to-many relationship since the same input cannot produce various results.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

If the relation is not one-to-one it can still be considered as a function if it is a many-one function meaning for some different values of x the function has the same y value.

If we reverse this and make it a one to many it will not function as

same input can not lead to different outputs.

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The equation 15√2 = x√2 can be solved, the value of x that satisfies the equation is 15.

To solve the equation 15√2 = x√2, you can divide both sides by √2 since the square root of 2 is a common factor on both sides of the equation. This gives:

15√2 / √2 = x√2 / √2

On the left side of the equation, the √2 and the denominator cancel out, leaving:

15

On the right side of the equation, the √2 and the denominator also cancel out, leaving:

x

So the solution to the equation is:

x = 15

Therefore, the value of x that satisfies the equation is 15.

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We have proved that triangles QNR and RMQ are congruent.​

What is an isosceles triangle?

An isosceles triangle is a triangle with at least two equal-length sides in geometry. It is sometimes specified as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter version including the equilateral triangle as a special case.

∠MRQ ≅ ∠NQR . . . . given

QR ≅ RQ . . . . reflexive property

∠PQR ≅ ∠PRQ . . . . property of isosceles triangle PQR

ΔQNR ≅ Δ RMQ . . . . ASA postulate

Hence, we have proved that triangles QNR and RMQ are congruent.​

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Evaluating f(t) when t=2 and t=5 yields different values. When t=2, f(t) simplifies to \(2e^2 + 20\). When t=5, f(t) simplifies to \(25e^5 - 6e^3 - 80\).

To evaluate f(t) at t=2, we substitute the value of t into the given expression. Using the unit step function [u(t)], we have 2⋅[u(2)] which evaluates to 2 since the unit step function is 1 for positive arguments. The term -5(t-3)⋅[u(t+1)] becomes -5(2-3)⋅[u(2+1)] = -5⋅(-1)⋅[u(3)] = 5⋅[u(3)] = 5. The term 5\(e^t\)⋅[δ(t+2)] simplifies to 5\(e^2\)⋅[δ(2+2)] = 5\(e^2\)⋅[δ(4)] = 5\(e^2\)⋅0 = 0 since the Dirac delta function is zero for non-zero arguments. The term (\(t^2\) + 2)⋅[u(t-3)] evaluates to (\(2^2\) + 2)⋅[u(2-3)] = 4⋅[u(-1)] = 4⋅0 = 0. Lastly, the term \(e^{-t}e^3.[u(t-1)]\) becomes \(e^{-2}e^3\)⋅[u(2-1)] = \(e^{-2}e^3\)⋅[u(1)] = \(e^{-2}e^3\)⋅1 = \(e^{-2}e^3\).

Thus, when t=2, f(t) simplifies to 2e^2 + 20.

Now let's evaluate f(t) when t=5. Following a similar process, we substitute t=5 into the given expression. The term 2⋅[u(5)] evaluates to 2 since the unit step function is 1 for positive arguments. The term -5(t-3)⋅[u(t+1)] becomes -5(5-3)⋅[u(5+1)] = -10⋅[u(6)] = -10. The term 5\(e^t\)⋅[δ(t+2)] simplifies to \(5e^5\)⋅[δ(5+2)] = 5\(e^5\)⋅[δ(7)] = 0. The term (\(t^2\) + 2)⋅[u(t-3)] evaluates to (5^2 + 2)⋅[u(5-3)] = 27⋅[u(2)] = 27 since the unit step function is 1 for positive arguments. Lastly, the term e^(-t)e^3⋅[u(t-1)] becomes \(e^{-5}e^3\)⋅[u(5-1)] = \(e^{-5}e^3\)⋅[u(4)] = \(e^{-5}e^3\).

Therefore, when t=5, f(t) simplifies to 25e^5 - 6e^3 - 80.

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Answer:

x = 17/5

Step-by-step explanation:

5x + 3 = 20

5x + 3-3 = 20 - 3

5x = 17

divide both by 5

The method that cannot be used to show congruency of two triangles is the method of "angle-angle-angle" (AAA).

The AAA method states that if the corresponding angles of two triangles are congruent, then the triangles themselves are congruent. However, this method is not valid for proving congruency because it does not take into account the lengths of the sides of the triangles.

To prove congruency, we typically use one of the following valid methods:

Side-Side-Side (SSS): If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent.

Side-Angle-Side (SAS): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Angle-Side-Angle (ASA): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Side-Angle-Angle (SAA): If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are not necessarily congruent. This method alone is not sufficient to prove congruency.

Therefore, the method that cannot be used to show congruency of two triangles is the Angle-Angle-Angle (AAA) method.

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Answer:

A) The unit rate is 2 inches of snow per hour.

&

E) At the same rate 12 inches of snow will fall in 6 hours.

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

did it on usatestprep

To apply the Laplace operator to the function h(x, y, z) = e^(-4x)sin(9y), we need to calculate the second partial derivatives with respect to each variable (x, y, z) and then sum them up. The Laplace operator is denoted as Δ or ∇^2 and is defined as the divergence of the gradient of a function.

Let's begin by calculating the partial derivatives:

∂h/∂x = -4e^(-4x)sin(9y)

∂²h/∂x² = (-4)^2e^(-4x)sin(9y) = 16e^(-4x)sin(9y)

∂h/∂y = e^(-4x)9cos(9y)

∂²h/∂y² = e^(-4x)9(-9)sin(9y) = -81e^(-4x)sin(9y)

∂h/∂z = 0

∂²h/∂z² = 0

Now, summing up the second partial derivatives:

Δh = ∂²h/∂x² + ∂²h/∂y² + ∂²h/∂z²

   = 16e^(-4x)sin(9y) - 81e^(-4x)sin(9y) + 0

   = (16 - 81)e^(-4x)sin(9y)

   = -65e^(-4x)sin(9y)

Therefore, the Laplacian of the function h(x, y, z) = e^(-4x)sin(9y) is given by -65e^(-4x)sin(9y).

The Laplacian operator is commonly used in various areas of mathematics and physics, such as differential equations and signal processing. It represents the sum of the second-order partial derivatives of a function and provides valuable information about the behavior of the function in the given domain. In this case, the Laplacian of h(x, y, z) describes the spatial variation of the function and indicates the rate at which the function changes at a specific point (x, y, z) in three-dimensional space.

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