For sequence A, describe a way to produce each new term from the previous term. A. Each term is the previous term multiplied by 2. B. Each term is 2 more than the previous term. C. 1 Each term is the previous term multiplied by > D 1 Each term is , more than the previous term.

To convert an expression into standard form a + bi, you separate the real and imaginary parts and combine them using the appropriate operators.

To write an expression into standard form, a + bi form, you need to separate the real and imaginary components of the expression and combine them using the appropriate notation.

In a + bi form, 'a' represents the real part of the expression, and 'b' represents the imaginary part.

Let's say we have an expression in the form x + yi, where 'x' is the real part and 'y' is the imaginary part.

To convert this expression into standard form, you need to perform the following steps:

Separate the real and imaginary parts of the expression.

Write the real part first, followed by the imaginary part with 'i'.

Combine the real and imaginary parts using the appropriate operators (+ or -).

Let's take an example to illustrate this process:

Suppose we have the expression 3 + 2i.

Here, '3' is the real part, and '2' is the imaginary part.

To convert it into standard form, we write it as 3 + 2i.

Similarly, if we have the expression -5 - 4i, where '-5' is the real part and '-4' is the imaginary part, we write it as -5 - 4i.

In both cases, the expressions are in standard form, a + bi.

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The statement "the determinant of a is the product of the diagonal entries in a." is False.

The determinant of a matrix is a scalar value that is calculated using a specific formula and does not depend solely on the product of its diagonal entries. For a square matrix A of order n x n, the determinant is calculated using various row operations to reduce it to a triangular form (either upper or lower triangular), and then it is the product of the diagonal elements in that triangular form.

The determinant of an n x n matrix A is denoted as det(A) and can be expressed as follows:

For an upper triangular matrix:

det(A) = a_11 * a_22 * a_33 * ... * a_nn

For a lower triangular matrix:

det(A) = a_nn * a_(n-1)(n-1) * a_(n-2)(n-2) * ... * a_11

Here, a_ii represents the diagonal entries of the triangular matrix.

So, the statement is false, as the determinant is not simply the product of the diagonal entries but is calculated using a more complex process.

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Answer:

the answer is x=15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

since angles 84 and 5x + 9 are alternate interior angles they both are equal

i.e

5x +9 = 84

5x = 84 -9

5x = 75

x = 75/5

therefore x = 15

keep smiling

The transfer function of Buck 1 converter is:

\(H1(s) = Vout1(s) / Vin1(s) = D / (1 - D) / (s + (R1 * (1 - D)) / (L1 * (1 - D) * C1))\)

The transfer function of Buck 2 converter is:

\(H2(s) = Vout2(s) / Vin2(s) = D / (1 - D) / (s + (R2 * (1 - D)) / (L2 * (1 - D) * C2))\)

To derive the open-loop transfer function of the cascaded system, we can find the transfer function of each converter separately and then multiply them.

For Buck 1 converter:

The output voltage Vout1 can be expressed as:

\(Vout1 = D * Vin1 / (1 - D) * (1 - exp(-t / (L1 * R1 * (1 - D) * C1)))\)

where D is the duty cycle, Vin1 is the input voltage, L1 and C1 are the inductance and capacitance of the converter, R1 is the resistance of the load, and t is the time.

Taking the Laplace transform of the equation above, we get:

\(Vout1(s) = (D * Vin1 / (1 - D)) / (s + (R1 * (1 - D)) / (L1 * (1 - D) * C1))\)

The transfer function of Buck 1 converter is:

\(H1(s) = Vout1(s) / Vin1(s) = D / (1 - D) / (s + (R1 * (1 - D)) / (L1 * (1 - D) * C1))\)

For Buck 2 converter:

The output voltage Vout2 can be expressed as:

\(Vout2 = D * Vin2 / (1 - D) * (1 - exp(-t / (L2 * R2 * (1 - D) * C2)))\)

where D is the duty cycle, Vin2 is the input voltage, L2 and C2 are the inductance and capacitance of the converter, R2 is the resistance of the load, and t is the time.

Taking the Laplace transform of the equation above, we get:

\(Vout2(s) = (D * Vin2 / (1 - D)) / (s + (R2 * (1 - D)) / (L2 * (1 - D) * C2))\)

The transfer function of Buck 2 converter is:

\(H2(s) = Vout2(s) / Vin2(s) = D / (1 - D) / (s + (R2 * (1 - D)) / (L2 * (1 - D) * C2))\)

The open-loop transfer function of the cascaded system is the product of the transfer functions of the two converters:

\(H(s) = H1(s) * H2(s) = D^2 / (1 - D)^2 / [(s + (R1 * (1 - D)) / (L1 * (1 - D) * C1)) * (s + (R2 * (1 - D)) / (L2 * (1 - D) * C2))]\)

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1, -1, 3, and -3 as the possible rational zeros of the given function. Hence, the correct option is (OD).

Rational zeros theorem is a theorem in mathematics used for finding the possible rational zeros of a polynomial equation with the coefficients being integers.

It states that any rational zero of a polynomial function f(x) of the form

f(x) = aₙxⁿ+aₙ₋₁xⁿ⁻¹+....+a₁x+a₀

is of the form of a divisor of the constant term a₀ divided by the divisor of the leading coefficient aₙ.

Let us consider the given function

f(x) = x³ - 5x² + 7x - 3.

To find the rational zeros, first, we need to find the divisors of the constant term.

That is, a₀ = -3.

The factors of -3 are 1, -1, 3, and -3.

Next, we need to find the divisors of the leading coefficient, a₃ = 1.

The factors of 1 are 1 and -1.

Now we need to consider all possible combinations of the factors obtained above.

They are 1/1, 1/-1, -1/1, -1/-1, 3/1, 3/-1, -3/1, and -3/-1.

Simplifying them, we get 1, -1, 3, and -3 as the possible rational zeros of the given function. Hence, the correct option is (OD).

The potential rational zeros of the given polynomial must be of the form coefficient a₀ where p must be a factor of the leading coefficient and must be a factor of the constant.

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Answer:

x = 11

Step-by-step explanation:

180 - (82+50)

180 - 132

48

5x-7 = 48

5x = 55

x = 11

Answer:

i would say the first one

Step-by-step explanation:

Answer:

14.35 ft

Step-by-step explanation:

We can use the pythagorean theorem to find the distance between the poles since both triangles are right triangles.

a^2 + b^2 = c^2

a^2 + 12^2 = 14^2

a^2 + 144 = 196

a^2 = 52

a = 7.21 ft

a^2 + b^2 = c^2

a^2 + 7^2 = 10^2

a^2 + 49 = 100

a^2 = 51

a = 7.14 ft

7.21 + 7.14 = 14.35 ft

Brainliest, please :)

Answer: c; 14.35

Step-by-step explanation: I need help on this and i saw this guy asked for brainlist and i think two people need to anser so please give him brainlist.

The volume of the 12% salt solution to be added is; 2.5 gallons.

Let the volume of 12% required be x and the new volume of the mixture be (x+5).

On this note, it follows that;

Hence, -2x = -5

Divide both side by -2;

x = 2.5 gallons.

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Answer:

-30r+15

Step-by-step explanation:

Answer:

Hey there!

-16h=16

Divide both sides by -16

h=-1

Hope this helps :)

Answer:

h = -1

Step-by-step explanation:

inverse operation:

16 = -16h

divide by -16 on both side

-1 = h

8

because 2x is like 2×4=8

Answer:

6*(5+10)

Step-by-step explanation:

6*(5+10)

6*15

90

Answer:

Step-by-step explanation:

*if this is wrong its because they didnt line the square up properly*

But the answer os 28 because, what you will need to do is multiply side and top

The side has 4 squares in the box

and the top has 7

so multipy 7 x 4 or 4 x 7

7 x 4 = 28

Hello!

area

= πr²

= 3.14 * (3ft)²

= 3.14 * 9ft²

= 254.34ft²

≈ 254.3ft²

Answer:

LARGEST FACTOR

Step-by-step explanation:

The greatest common factor or GCF is the largest factor that all terms have in common. Step 2: Factor out (or divide out) the greatest common factor from each term. Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common.

Answer:

x=-5 y=6

Step-by-step explanation:

Multiply the first by 3 and the second by -4

Then add them. Y will be 6

Put 6 for y in the first one and youll find x=-5

Answer:

1 x 10^-7

Step-by-step explanation:

Answer:

l;komjni

Step-by-step explanation:

The required factorized form of the given expression is 50(x+2), where 50 is the greatest common factor (GCF).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

We have been given that the expression below as

50x + 100

We have to determine the factor of the expression 50x + 100

First, we have to find the Greatest Common Factor (GCF).

GCF = 50

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

50(50x/50 + 100/50)

Simplify each term in parentheses.

50(x+2)

Therefore, the required factorized form of the given expression is 50(x+2).

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Answer:

- 30

Step-by-step explanation:

Given

f (x) = - x² - 7x

To find : f (- 10)

- x²

= - (- 10)²

= - [ (- 10)×(- 10) ]

= - [ 100 ]

= - 100

- 7x

= - 7 × - 10

= 70

f (- 10) = - 100 + 70

f (- 10) = - 30

Assuming an equal probability of having a girl or a boy for each child, the probability that a couple does not have girls for all three children is 1/8 or approximately 0.125 (12.5%).

If we assume that the probability of having a girl or a boy for each child is equal (which is a simplifying assumption), then the probability of having a girl for each child is 1/2, and the probability of having a boy is also 1/2.

To find the probability that the couple does not have girls for all three children, we need to find the probability of having a boy for each child. Since the gender of each child is independent of the others, we can multiply the probabilities together.

So, the probability of having a boy for the first child is 1/2, for the second child is also 1/2, and for the third child is also 1/2.

Multiplying these probabilities together, we get:

(1/2) * (1/2) * (1/2) = 1/8

Therefore, the probability that the couple does not have girls for all three children is 1/8 or approximately 0.125 (12.5%).

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Answer:

I belive it is the second one

Step-by-step explanation:

Answer:

B. The second box plot

Step-by-step explanation:

This is an example of a seasonal component in a time series. A seasonal component refers to regular, predictable patterns that are associated with the time of year, such as increased sales during the summer months.

Selling products or services to clients in exchange for cash or other types of payment is known as ale. The sales process consists of a number of elements, such as:

Product: The items or services being sold are referred to here. A corporation must have a comprehensive grasp of its product offerings and how they fit the demands of its target market.

Price: The sum of money that a consumer must fork over in order to purchase the item or service. Price should be set to maximise profit while maintaining market competitiveness.

Locations where higher the good or service is sold are referred to here as "place." Physical storefronts, internet marketplaces, or a network of distributors may all fall under this category.

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Answer:

(0, - 5)

Step-by-step explanation:

For a quadratic equation:

y = a*x^2 + b*x + c

if the vertex is at:

(h, k)

Then the focus is at:

(h, k + 1/(4*a))

Here we have the parabola:

x^2 = -20*y

if we isolate y, we get:

y = (-1/20)*x^2

First, we need to find the vertex.

remember that for a general quadratic equation

a*x^2 + b*x + c = 0

the x-value of the vertex is at:

x = -b/2*a

in this case we have b = 0, then our vertex is at x = 0.

If we evaluate the function at x = 0 we get:

y = (-1/20)*0^2 = 0

Then the vertex is at (0, 0)

Thus the focus will be at:

(0, 0 + 1/(4*a))

and we have

a = -1/20

then:

1/(4*a) = -20/4 = 5

Then the focus is:

(0, 0 -5) = (0, - 5)

Answer:

(0,-5)

Step-by-step explanation:

Did the test on Edge

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

There are 64000 distinct combinations .

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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Answer:

get smart

Step-by-step explanation: