If the Diameter is ten then what is the area of it

Answer: It's -49

Step-by-step explanation:

:)

The difference in the account balances at the end of the loan terms is given as follows:

$1,686.87.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for the offer 2 are given as follows:

P = 75000, r = 0.035, n = 12, t = 62/12.

Hence the balance of the offer 2 is given as follows:

B = 75000 x (1 + 0.035/12)^(12 x 62/12)

B = $89,842.51.

The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:

91529.38 - 89842.51 = $1,686.87.

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Answer:

-46438023156

Step-by-step explanation:

The values of the trigonometric functions ;

sin(theta) = √11/6

cos(theta) =  -5/6

tan(theta) = 5/√11

csc(theta) = 6/√11

sec(theta) = 6/5

Given cos (theta) = -5/6, and tan (theta) < 0, we can find sin(theta), cos(theta), tan(theta), csc(theta), and sec(theta).

First, we can use the fact that cot(theta) = cos(theta)/sin(theta) to find sin(theta) and cos(theta).

Next, we can use the fact that sin(theta) = cos(theta) to find the values of

Since cos (theta) = 15, we can write it as cos (theta) = adjacent/opposite, where adjacent = 15 and opposite = 1 (since cotangent is the reciprocal of tangent).

Using the Pythagorean theorem, we can find the hypotenuse:

adjacent= √(hypotenuse ² + opposite²) = √(6² - 5²) = √11

sin(theta) = √11/6

cos(theta) =  -5/6

tan(theta) = 5/√11

csc(theta) = 6/√11

sec(theta) = 6/5

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"Purposive sampling" is the method employed when a researcher needs to identify a small number of important people who can provide pertinent information.

Purposive sampling, also referred as judgmental, selecting, or subjective sampling, is a type of non-probability sampling wherein the researchers pick individuals from the public to take part in their surveys based on their own judgment.

Thus, Purposive sampling is the method employed when a researcher needs to identify a small number of important people who can provide pertinent information.

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The first withdrawal from the account is $200 and another is $150

A mathematical expression made up of variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division is called an algebraic expression. In general, something is considered equal if two of them are the same. Similar to this, analogous expressions in mathematics are those that hold true even when they appear to be different. Yet, both forms provide the same outcome when the values are entered into the formula.

A checking account has a balance of $350

A customer makes two withdrawals

first is $50 more than the other,

let another withdrawal is $x

then first withdrawal is $(50+x)

then,

x+(50+x)=350

2x=300

x=$150

hence first withdrawal is $200

and another is $150

Then he makes a deposit of $75,

So the remaining balance in the account is $75.

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Answer:

The area of the new circle is 804.57 cm^2

Step-by-step explanation:

In this question, we are interested in calculating the area of the new circle of the radius of the old circle was doubled.

Let’s calculate the former radius first;

Mathematically;

Area of a circle = π * r^2

Thus;

201.06 = π * r^2

r^2 = 201.06/π

r^2 = 63.999

r = √63.99

r = 8 approximately

Now let’s double this radius and it becomes 2 * 8 = 16 cm

The new area will be ;

22/7 * 16 * 16 = 804.57 cm^2

The expected winning is $2.

To calculate the expected winning, we need to find the probability of each outcome and multiply it by the amount we will win in that outcome.

There are 2 possible outcomes for each coin flip: heads or tails. Therefore, there are 2x2x2=8 possible outcomes for flipping a coin three times.

Here are all the possible outcomes with the number of heads in each outcome:

The probability of each outcome can be calculated using the formula: probability = (number of favorable outcomes) / (total number of possible outcomes)

For example, the probability of getting 3 heads (HHH) is 1/8 because there is only one favorable outcome out of 8 possible outcomes.

Using this formula, we can calculate the probability and expected winning for each outcome:

To calculate the overall expected winning, we need to add up the expected winning for each outcome multiplied by its probability:

(1/8) x $6 + (1/4) x $4 + (1/4) x $4 + (1/4) x $4 + (3/8) x $2 + (3/8) x $2 + (3/8) x $2 + (1/8) x $0 = $2

Therefore, the expected winning is $2.

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The complete factorization of 3x⁵- 75x³ is:- 3x³(x + 5)(x - 5)

How to solve factor?

To factor completely the expression 3x⁵ - 75x³, we can first factor out the greatest common factor (GCF) of the two terms, which is 3x³:

3x³(x² - 25)

Next, we can factor the expression inside the parentheses using the difference of squares formula:

3x³(x + 5)(x - 5)

Therefore, the complete factorization of 3x⁵ - 75x³ is:

3x³(x + 5)(x - 5)

We can check that this is the correct factorization by using the distributive property of multiplication and verifying that the product of the factors is equal to the original expression:

3x³(x + 5)(x - 5) = 3x³(x² - 25)

= 3x³x² - 3x³(25)

= 3x⁵ - 75x³

So the factorization is correct.

In summary, to factor completely an expression like 3x⁵ - 75x³, we should first factor out the GCF and then look for further factorization opportunities using various factorization techniques such as the difference of squares formula, the sum or difference of cubes formula, or the quadratic formula. It's important to remember to check our work by multiplying the factors back together to ensure that we get the original expression.

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Answer:

X=8

Step-by-step explanation:

3×X =6×4

3X=24

X= 24÷3

X= 8

The equivalent value of the proportion is ( 3/4 ) = ( 6/8 ) and x = 8

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

( 3/4 ) = ( 6/x )

Multiply by x on both sides , we get

( 3/4 )x = 6

Divide by 3 on both sides , we get

( 1/4 )x = 2

Multiply by 4 on both sides , we get

x = 8

Hence , the proportion is ( 3/4 ) = ( 6/8 )

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Answer:

A

writing your thoughts in journal

Answer:

c=29÷203.

Step-by-step explanation:

i think that might be what you want. pretty sure there's a better way to wright it though.

The minimum sum of products (MSP) expression of the given function F(A, B, C, D) can be obtained by using the Quine-McCluskey method.  In this case, the MSP expression for the given function is F(A, B, C, D) = A'C'D' + A'BCD + AB'C'D + ABCD.

The MSP expression is a simplified Boolean expression that represents the function in terms of its essential prime implicants.

The Quine-McCluskey method is an algorithm that uses the concepts of prime implicants, essential prime implicants, and petrick's method to simplify Boolean functions. The method starts with finding all the prime implicants of the function and then grouping them to form essential prime implicants. The essential prime implicants are then used to form the MSP expression of the function. The MSP expression obtained using this method is minimal, which means that it has the least number of terms and literals compared to other simplified expressions.

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The four Pauli matrices X, Y, Z, and I form an orthonormal basis for the space of 2×2 matrices.

To show that the four Pauli matrices X, Y, Z, and I form an orthonormal basis for the space of 2×2 matrices, we need to demonstrate two properties: linear independence and orthogonality.

1. Linear Independence:

A set of matrices is linearly independent if no matrix in the set can be written as a linear combination of the others. Let's consider the four Pauli matrices:

X = |0  1|      Y = | 0  i|      Z = | 1  0|      I = |1  0|

     |1  0|            |−i  0|            | 0 −1|            |0  1|

To show that these matrices are linearly independent, we'll assume that a linear combination of these matrices equals the zero matrix:

aX + bY + cZ + dI = |0  0|

                               |0  0|

Expanding the left-hand side, we have:

a|0  1| + b| 0  i| + c| 1  0| + d|1  0| = |0  0|

        |1  0|         |−i  0|         |0  1|

This can be rewritten as:

|0   a   c   d|   | 0|   |0|

|1   0   bi  0| * | 1| = |0|

|1  −bi  0   0|   | 0|   |0|

|d   0   0   a|   | 1|   |0|

Now, if we compute the product on the left-hand side, we get:

| c|   |0|

| a| = |0|

|-bi|   |0|

| d|   |0|

From this, we can conclude that a = b = c = d = 0. Therefore, the four Pauli matrices are linearly independent.

2. Orthogonality:

To show that the four Pauli matrices are orthogonal, we need to demonstrate that their inner products are zero. Let's calculate the inner product of each pair:

(X, X) = Tr(X†X) = Tr(|0  1| |0  1|)

                                          |1  0| |1  0|

       = Tr(|0  0|)

                |0  0|

       = 0

(Y, Y) = Tr(Y†Y) = Tr(| 0  i| | 0 −i|)

                                          |−i  0| | i  0|

       = Tr(| 0   1|)

                |−1   0|

       = 0

(Z, Z) = Tr(Z†Z) = Tr(|1  0| |1  0|)

                                          |0 −1| |0 −1|

       = Tr(|1  0|)

                |0  1|

       = 2

(I, I) = Tr(I†I) = Tr(|1  0| |1  0|)

                                          |0  1| |0  1|

       = Tr(|1  0|)

                |0  1|

       = 2

(X, Y) = Tr(X†Y) = Tr(|0  1| | 0  i|)

                                          |1  0| |−i  0|

       = Tr(|−i  0|)

                | 0  i|

       = 0

(X, Z)

= Tr(X†Z) = Tr(|0  1| |1  0|)

                                          |1  0| |0 −1|

       = Tr(|0 −1|)

                |1  0|

       = 0

(X, I) = Tr(X†I) = Tr(|0  1| |1  0|)

                                          |1  0| |0  1|

       = Tr(|0  1|)

                |1  0|

       = 0

(Y, Z) = Tr(Y†Z) = Tr(| 0  i| |1  0|)

                                          |−i  0| |0 −1|

       = Tr(| 0  i|)

                |i  0|

       = 0

(Y, I) = Tr(Y†I) = Tr(| 0  i| |1  0|)

                                          |−i  0| |0  1|

       = Tr(| 0  i|)

                |−i  0|

       = 0

(Z, I) = Tr(Z†I) = Tr(|1  0| |1  0|)

                                          |0 −1| |0  1|

       = Tr(|0  0|)

                |−1  0|

       = 0

From these calculations, we can see that the inner product of any two distinct Pauli matrices is zero, except for (Z, Z) and (I, I), which both equal 2.

Therefore, the four Pauli matrices X, Y, Z, and I form an orthonormal basis for the space of 2×2 matrices.

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Answer:

x=20

Step-by-step explanation:

bc 25 divided by 10 is 2.5 so you just multiply 8 by 2.5

Answer: X= 20

If solving for x

Step-by-step explanation:  

x/25= 8/10    

1= reduce the fraction to x/25= 4/5

2= cross multiply 5x=100

3= divide both sides X=20

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Answer:

\(\displaystyle \frac{29}{6}\)

Step-by-step explanation:

\(\displaystyle 1+\biggr(-\frac{2}{3}\biggr)-(-m)\\\\\rightarrow 1-\frac{2}{3}+m\\\\\rightarrow \frac{1}{3}+\frac{9}{2}\\ \\\rightarrow \frac{2}{6}+\frac{27}{6}\\ \\\rightarrow \frac{29}{6}\)

Answer:

It should be neither

Step-by-step explanation:

x+7>12

x>12-7

x>5

Its not 3 or 4.. its 5 so its neither of 3 and 4..

(a) The parametric equations that model the path of the rocket are x = 30t and y = 30√3t.

(b) The rectangular equation that models the path of the rocket is t = 6.928 seconds.

(c) 207.84 feet the rocket is in flight, and 359.97 feet the horizontal distance covered.

What is the angle?

An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are also known as plane angles because they lie in the plane in which the rays are located.

Here, we have

Given: A rocket is launched from the ground with a velocity of 60 feet per second at an angle of 60° with respect to the ground.

(a) We have to determine the parametric equations that model the path of the rocket.

Velocity = 60ft/sec

θ = 60°

Distance = speed × time

d = 60t

dₓ is the displacement in x- the direction

dₓ = vcosθ

dₓ = 60tcos60°

dₓ = 60t×1/2

dₓ = 30t

x = 30t

\(d_{y}\) is the displacement in y- the direction

\(d_{y}\)  = vsinθ

\(d_{y}\)  = 60tsin60°

\(d_{y}\)  = 60t×√3/2

\(d_{y}\)  = 30t√3

y = 30√3t

Hence, the parametric equations that model the path of the rocket are x = 30t and y = 30√3t.

(b) We have to determine the rectangular equation that models the path of the rocket.

v = u + at

a = acceleration

v = final velocity

Here,

a = gcos30° but in opposite direction.

So,

a = -gcos30°

a = -10×√3/2

a = -5√3

Now, we put the value of a in v = u + at and we get

v = u + at

0 = 60 -5√3t

t = 6.928seconds

Hence, the rectangular equation that models the path of the rocket is t = 6.928 seconds.

(c) We have to determine how long the rocket is in flight and the horizontal distance covered.

x = 30t = 30(6.928) = 207.84feet

y = 30√3t = 30√3(6.928) = 359.97feet

Hence, 207.84 feet the rocket is in flight, and 359.97 feet the horizontal distance covered.

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According to given information, the ratio of white keys to black keys is 5:2.

In mathematics, a ratio is a comparison of two quantities or values. It expresses how many times one quantity is contained in another. Ratios can be written in the form of a fraction, using a colon, or using the word "to".

The ratio of black keys to white keys is 6:15. To find the ratio of white keys to black keys, we can write the same ratio in terms of white keys first, then simplify it.

The ratio of white keys to black keys can be found by inverting the ratio of black keys to white keys, which gives:

15:6

We can simplify this ratio by dividing both the numerator and denominator by the greatest common factor, which is 3. Dividing by 3 gives:

5:2

Therefore, the ratio of white keys to black keys is 5:2.

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The correct option to the sentence "The shortest distance of the line 6x-8y+7 = 0 from the origin" is 7/10. Hence, the correct option is: d.2/5

The given equation of the line is 6x-8y+7 = 0.

To find the shortest distance of the line 6x-8y+7 = 0 from the origin, we will use the formula:

Distance of the line ax + by + c = 0 from the origin O (0, 0) is given by:

D = |c|/√(a²+b²), where, a = 6, b = -8 and c = 7

Putting these values in the above formula, we get:

Distance = |7|/√(6²+(-8)²) = 7/√(36+64)

=7/√100

=7/10

Therefore, the shortest distance of the line 6x-8y+7 = 0 from the origin is 7/10. Hence, the correct option is: d.2/5.

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1. R= {(2, 2), (3, 5), (4, 10), (4, 17)}

2. Domain = {1, 2, 3, 4}

3.  Range = {2, 3, 4, 5, 10, 17}

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

Given:

R = { ( 1 + x , 1 + x^2 ) ∶ x≤ 4, ∈ }

1) R= {(2, 2), (3, 5), (4, 10), (4, 17)}

2) Domain = {1, 2, 3, 4}

3) Range = {2, 3, 4, 5, 10, 17}

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Answer: unit of account

Step-by-step explanation:

I learned this in Macro Chapter 34.

Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

Answer:

f(5) =  -38

Step-by-step explanation:

Given the function

f(x)=−3x²+9x−8

Evaluating the function

f(x)=−3x²+9x−8

f(5) = −3(5)²+9(5)−8

f(5) = -75+45-8

f(5) = -38

Therefore, we conclude that:

f(5) =  -38

Answer:

try cube i think it is cube

The area of triangle ABT is given as follows:

52.192 cm².

The first step towards obtaining the area of the triangle is obtained the measure of angle O, which is given as follows:

m < O = 360º/5 = 72º.

(this is because a regular pentagon is composed by five angles of equal measure, while the entire circle has 360º).

Then, considering that segment TA is tangent to the circle, it's length is found as follows:

TA = 7 x tangent of 72º

TA = 21.544 cm.

Then triangle OAT is a right triangle with sides 7 cm and 21.554 cm, meaning that it's area is given as follows:

Area of OAT = 0.5 x 7 x 21.554 = 75.493 cm².

Triangle OAB has two sides of 7 cm, with an angle between them of 72º, hence it's area is of:

Area of OAB = 0.5 x 7 x 7 x sine of 72 degrees = 23.301 cm².

Then the area of triangle ABT can be calculated as follows:

75.493 - 23.301 = 52.192 cm².

The figure is given by the image shown at the end of the answer.

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Answer:

y= -2/7 +5

Step-by-step explanation:

The equation of the line with a slope of -2/7 and a y-intercept of 5 is y=-2/7 x+5.

Given that, slope (m) =-2/7 and y-intercept (c) =5.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The standard form of the slope intercept form is y=mx+c.

Put m=-2/7 and c=5 in y=mx+c, we get

y=-2/7 x+5

Therefore, the equation of the line with a slope of -2/7 and a y-intercept of 5 is y=-2/7 x+5.

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Answer:

x

=

2

±

√

7

Explanation:

there are no whole numbers which multiply to - 3

and sum to - 4

we can solve using the method of  

completing the square

the coefficient of the  

x

2

term is 1

∙

add subtract  

(

1

2

coefficient of the x-term

) 2  to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7

take the square root of both sides

⇒ x − 2 = ± √ 7 ←

note plus or minus

⇒ x = 2 ± √ 7←

exact solutions

Step-by-step explanation:

x²-4x+3=0

x²-4x=-3

take half of -4 square it and add it to both side

x²-4x+(-2)²=4-3

(x-2)²=1

x-2=±1

x=2±1

x=1,3

Answer: it’s the third answer

Step-by-step explanation: