El equivalente a (x +8)(x-8) es:

Answer:

36kg

Step-by-step explanation:

The dog eats 16kg per week, which is 32kg in 2 weeks

The cat eats 2kg per week, which is 4kg in 2 weeks

32+4=36

The anticipated monthly payments for Lucy and Ann would be approximately $1,821.35.

To calculate the anticipated monthly payments, we need to consider the loan amount and the interest rate. The down payment for the house is 20% of the purchase price, which is $450,000 * 0.20 = $90,000. Therefore, the loan amount is $450,000 - $90,000 = $360,000.

Next, we need to calculate the monthly interest rate and the number of months. The annual interest rate is 4.5%, so the monthly interest rate is 4.5% / 12 = 0.375% (expressed as a decimal). The loan term is 30 years, which is equivalent to 30 * 12 = 360 months.

Using these values, we can calculate the anticipated monthly payment using the formula for a fixed-rate mortgage:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),

where M is the monthly payment, P is the loan amount, r is the monthly interest rate, and n is the number of months.

Plugging in the values, we get:

M = $360,000 * (0.00375 * (1 + 0.00375)^360) / ((1 + 0.00375)^360 - 1)

M ≈ $1,821.35 (rounded to the nearest two decimals)

Lucy and Ann can anticipate monthly payments of approximately $1,821.35 for their 30-year loan at 4.5% interest rate, considering a $450,000 house price with a 20% down payment. It's important to note that this calculation does not include additional costs such as property taxes or insurance, which could affect the overall monthly expenses.

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Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge

It will take 5.71 hours for Pam and Erin to be 14 miles apart.

If Pam and Erin start at the same point and rollerblade in different directions, then the total distance between them at any given time can be represented by the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

Let x represent the number of hours it takes for Pam and Erin to be 14 miles apart. Then, the distance traveled by Pam will be 2x, and the distance traveled by Erin will be 4x.

Using the Pythagorean Theorem, the equation that represents the distance between them can be written as 2x^2 + 4x^2 = 14^2.

Solving this equation, we get 6x^2 = 196, which can be written as x^2 = 32.75. Taking the square root of both sides, we get x = 5.71.

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Answer:

By definition, management work pertains to the work that managers and partners perform in the six functions of management, and their corresponding segment of activities: strategy, planning, organizing, leadership, teamwork and control. ... There is no depth in management tenets, and therefore little management depth.

The value of the given sine function is √3/2, so the correct option is 2nd.

Given that an function Sin (-5π/3) we need to evaluate the expression,

To evaluate the trigonometric function sine of the angle (-5π/3), we can use the periodicity of the sine function.

Since the sine function has a period of 2, the sine of any given angle is equal to the sine of that angle plus or minus any multiple of 2.

To find an equal angle inside the main range (between -π and π), we can add 2 to the angle (-5/3).

Once adding 2:

(-5π/3) + 2π = (-5π/3) + (6π/3) = π/3

Now we can evaluate the sine of π/3, which is a commonly known angle. The sine of π/3 is √3/2.

Therefore, sin(-5π/3) = sin(π/3) = √3/2.

Hence the correct option is √3/2

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Answer:

-3=5

6=14

so it would be 6

Step-by-step explanation:

Answer:

-692784311700

Step-by-step explanation:

Total ways can occur is 19,653,800.

What is Combination?

Combinations are ways to choose elements from a larger set in mathematics where the order of the elements is irrelevant. Repetition is prohibited and the order of the elements does not matter in a combination, which is a subset of items.

The number of combinations of 51 things chosen 10 at a time, represented as C, determines the number of possibilities to choose 10 finalists from 51 contestants (51, 10).

Combinations are calculated as follows: C (n, k)=\(n! / (k! (n-k)!).\)

Consequently, there are three options to choose 10 finalists from the pool of 51 applicants:\(C(51, 10) = 51! / (10! (51-10)!) = 51! / (10! 41!) = 19,653,800.\\\)

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in the miss America pageant, 51 contestants must be narrowed down into 10 finalists. The total number of ways that can occur is 19,653,800.

What is Combination?

In mathematics, combinations are strategies to select components from a bigger set where the order of the elements is unimportant. In a combination, which is a subset of items, repetition is not permitted and the position of the parts is irrelevant.

The possibility of selecting 10 finalists from 51 contenders is determined by the number of combinations of 51 things picked 10 at a time, denoted as C. (51, 10).

Combinations are calculated as follows: C (n, k)= \(\frac{n!}{k!(n-k)!}\)

Consequently, there are three options to choose 10 finalists from the pool of 51 applicants: 19653800

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Answer:

A

Step-by-step explanation:

sorry if its wrong but i think its right

The factors of the given expression \(144-49x^{2}\) will be  \((7x+12)(7x-12)\)

It is given that

\(144-49x^{2}\)

Now by simplifying it

\((12)^{2} -(7x)^{2}\)

Now from the formula, we know

\(a^{2} -b^{2} = (a+b)(a-b)\)

So it will become

\((12)^{2} -(7x)^{2}= (12-7x)(12+7x)\)

Thus the factors of the given expression \(144-49x^{2}\) will be (7x+12)(7x-12)

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The magnitude of the x-component of this vector is 9.05m.

The angle of inclination of the vector is calculated as;

θ = 90 ⁰ - 48.4 ⁰

θ = 41.6 ⁰

The magnitude of the x-component of the vector is calculated as;

Vx = 12.1 m x cos ( 41.6 )

Vx = 9.05 m

A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.

Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.

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Complete Question:-

Answer:

Step-by-step explanation:

print of clip a sample research or article from a newspaper or internet and write your reaction on this paper

Answer:

Step-by-step explanation:

Line formula in slope-intercept form:

Given

Then the formula is:

None of the answer options match this

Answer:

5x - 9 = 2x + 23

Step-by-step explanation:

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

The equation is 5x - 9 = 2x + 23.

The answer is option A.

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

An equation is a mathematical announcement this is made up of expressions related to the same signal. For instance, 3x – 5 = 16 is an equation. Fixing this equation, we get the price of the variable x as x = 7.

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Answer:

10.9 feet

Step-by-step explanation:

its Pythagoras but reversed. So instead of a squared plus b squared equals c squared its (c squared)-(a squared) equals (b squared)

so (12x12) - (5x5) = 119

square root of 119 is 10.9

sorry im replying on phone i cant do exponents and stuff

Answer:

My push

Step-by-step explanation:

Answer:

$66

Step-by-step explanation:

Answer:

5,386,830

Step-by-step explanation:

After solving the given expression → F = - m + B/q³  for  [B], we get -

B = q³(F + M).

We have the following equation -

F = - m + B/q³

We have the following equation -

F = - m + B/q³

On solving for [B], we get -

F + M = B/q³

B = q³(F + M)

Therefore, the given expression after solving for [B], we get -

B = q³(F + M).

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Answer:

it would be 5 divided by 280 and then that would tell u the answer 56 so it would be 56 feet. I hope this worked have a nice day.

Step-by-step explanation:

Answer:

y = -9x - 24

x = -27x - 84

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

26/40 x 100= 65%

hope this helps!

Answer: 10

Step-by-step explanation:

100/10=10

4030/10=403

Dehaun spent 7/10 hours doing these two assignments.

What is meaning of assignment?

An assignment is a task or piece of writing that is handed to you to complete, typically as a requirement for a job or academic course.

What is a fraction number?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

Given that,

Dehaun  finished his math assignment in 1/2 hour.

Also he did finish his history assignment in 1/5 hour.

To compute total assignment, add the times.

The total time that he spent to complete the assignment is

1/2 + 1/5

The L.C.M of 2 and 5 is 10.

=(5 + 2)/10

= 7/10

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Answer:

When

when x = - 3 then y=. -10

when y = 2 then x =. -1

When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

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Answer:

The correct option is;

Exponential function 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

Step-by-step explanation:

The given functions are;

f(x) = 2x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 6, 10, 14, 18

f(x) = 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

f(x) = 2·x² + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 10, 34, 74, 130

f(x) = 3·x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 8, 14, 20, 26

By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2

Answer: The answer is B on edg

Step-by-step explanation: