Radical word problem help

Answer:

b

Step-by-step explanation:

because u can tell

At the closing of her home purchase, Michelle should expect to pay prepaid interest of $6,934.50. This amount represents the interest accrued from April 8th to the end of the month.

The monthly payment for Michelle's mortgage is calculated as follows:

Principal and interest payment = (95,000 - 15,000) x 0.0495 / 12

This equals a monthly payment of $420.63.

Michelle's total interest over the life of the loan is $119,750. This amount is the sum of her prepaid interest and the total interest she pays over the life of the loan.

The equation that shows the number of cookies Beverly has left is n = 6 - 5.

An integer is any positive or negative number, including zero, that has no decimal or fractional parts.

Natural numbers which start at 1, are categorised as whole numbers, along with 0 as well.

We can see that integers are a collection of numbers that include both positive and negative values as well as 0, whereas whole numbers are a set of numbers that include only positive numbers.

Given that, Beverly evenly shared a box of 24 cookies with three friends.

The number of cookies with Beverly = 24 / 4 = 6 cookies.

She ate 5 of her cookies.

Thus, the number of cookies Beverly has left is:

n = 6 - 5

n = 1

Hence, the equation that shows the number of cookies Beverly has left is n = 6 - 5.

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The Account receivable turnover for Year 1 is 21.04.

The Account receivable turnover for Year 2 is 20.86.

The average number of the times a company collects its accounts receivable balance is measured by the accounts receivables turnover ratio. It is a measurement of how well a business manages its line of credit process and collects unpaid balances from customers. A company's accounts receivable turnover ratio is higher for an efficient business and lower for an inefficient one.

For year 1:

Account receivable turnover:

= Net sales / Average account receivable

= 13,612 / ((654 + 640)/2)

= 13,612 / 647

= 21.0386398764

= 21.04

For year 2:

Account receivable turnover:

= Net sales / Average account receivable

= 12,808 / ((640+588)/2))

= 12,808 / 614

= 20.8599348534

= 20.86

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The values of k for which 2x² + kx - 5 can be factored as the product of two linear factors with integer coefficients are k = 3, 1, and 9.

What is a linear factor?

A linear factor is a polynomial of degree one, which means it has one variable raised to the first power and a constant coefficient. In other words, it is an expression of the form ax + b, where a and b are constants and x is the variable.

We can factor the quadratic 2x² + kx - 5 into the product of two linear factors with integer coefficients if and only if its discriminant is a perfect square.

The discriminant of the quadratic equation ax² + bx + c = 0 is given by the expression b² - 4ac. In this case, a = 2, b = k, and c = -5. Therefore, the discriminant is:

b² - 4ac = k² - 4(2)(-5) = k² + 40

For the quadratic to be factored into two linear factors with integer coefficients, k² + 40 must be a perfect square.

One way to proceed is to list the perfect squares that are 40 greater than a square, and see if k is one of the corresponding values. We can do this by solving the equation:

k² + 40 = m²

where m is an integer. Rearranging, we get:

k² - m² = -40

This is a difference of squares, so we can factor it:

(k + m)(k - m) = -40

We now need to find integer values of k and m that satisfy this equation. We can do this by considering all possible pairs of factors of -40 and solving for k and m.

The pairs of factors of -40 are:

(-1, 40), (-2, 20), (-4, 10), (-5, 8)

For each pair, we can solve the system of equations:

k + m = a

k - m = b

where a and b are the two factors in the pair. Adding these equations, we get:

2k = a + b

Subtracting them, we get:

2m = a - b

Solving for k and m, we obtain:

k = (a + b)/2

m = (a - b)/2

We can now check if the values of k and m are integers and if they satisfy the original equation.

For example, if we take the pair (-1, 40), we get:

k + m = -1

k - m = 40

Adding these equations, we get:

2k = 39

This implies that k = 39/2, which is not an integer, so this pair does not work.

Trying the other pairs, we find that:

(-2, 20) gives k = 9 and m = 11, which works

(-4, 10) gives k = 3 and m = 7, which works

(-5, 8) gives k = 1 and m = 3, which works

Therefore, the values of k for which 2x² + kx - 5 can be factored as the product of two linear factors with integer coefficients are k = 3, 1, and 9.

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I think the radius would be 2

Shyam would need S$250 to send NRs 20,000 to Nepal.

To determine how many Singapore dollars Shyam needs to send NRs 20,000 to Nepal, we need to first use the exchange rate provided to convert NRs to Singapore dollars.

The exchange rate given is S$1.00 = NRs 80.00. This means that for every Singapore dollar, Shyam can get 80 Nepalese rupees.

To find out how many Singapore dollars Shyam needs to send NRs 20,000, we need to divide NRs 20,000 by 80, which gives:

NRs 20,000 / 80 = S$250

Therefore, Shyam would need S$250 to send NRs 20,000 to Nepal.

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it takes 24 minutes for the rock climber to climb 288 feet.

How to determine?

The correct equation to represent this situation is:

$$\frac{720}{60}m=288$$

Here, we first convert the rate from feet per hour to feet per minute by dividing by 60. Then, we set up the equation where the product of the rate and the time in minutes equals the distance climbed.

Simplifying this equation, we get:

$$12m=288$$

Dividing both sides by 12, we get:

$$m=24$$

Therefore, it takes 24 minutes for the rock climber to climb 288 feet.

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Answer: 4,000,000,000,000,000,000,000,000,000

Step-by-step explanation:

4x10^27 is a number expressed in scientific notation. In standard form, it would be written as 4 followed by 27 zeros. This is because the exponent 27 indicates the number of zeros that should be added after the 4 to represent the value of the number.

So, the standard form of 4x10^27 is: 4,000,000,000,000,000,000,000,000,000

Answer:

No. There is a solution.

Step-by-step explanation:

Pages aren't infinite, but lines are! Lines just keep going forever. If the lines aren't parallel, then they will intersect at some point. The point of intersection is the solution to the system. Just because its not on the page doesn't mean it doesn't exist. We just need a bigger page...or maybe, a bigger imagination...or maybe smaller scale on the graph...or maybe a computer graphing utility...or maybe a piece of paper and a pencil to solve the system algebraically!

The solution is out there!

see image

Answer:

S$ 250

Step-by-step explanation:

we can solve this by dividing 20,000 NRs by 80 since S$1.00 = NRs 80

Answer:

pooooooooooooooooooooooooooop hope this helps

Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:

Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is

[tex]A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right][/tex]

Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
[tex]B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right][/tex]

Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:

[tex]A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right][/tex]

Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:

det(A+B) = (1)(1) - (1)(1) = 0

Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.

Therefore, the matrices [tex]A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right][/tex] and [tex]B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right][/tex] are non-invertible matrices that can be added together to form an invertible matrix [tex]A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right][/tex].

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The true statement about the figure is not represented in the options

From the question, we have the following parameters that can be used in our computation:

The triangle

The value of y can be calculated using the following Pythagoras theorem

y^2 = (3x)^2 + (4x)^2

Evaluate

y^2 = 25x^2

So, we have

y = 5x

The height is given as

Height = 100

This means that

4x = 100

So, we have

x = 25

For y, we have

y = 5x

y = 5 * 25

y = 125

For the area, we have

Area = 1/2 * 4x * 3x

Area = 1/2 * 4 * 25 * 3 * 25

Evaluate

Area = 3750

Hence, none of the options are true

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The answer is the expected value is - 2. The equation for expected value is the sum of the values times their probabilities.

Answer:

$2700

Step-by-step explanation:

The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -6 and b = 360, so we have:

x = -360/(2*(-6)) = 30

Therefore, the company will maximize its profit by selling 30 units of the product.

p(x) = -6x^2 + 360x - 2500

(x = 30 )

p(30) = -6(30)^2 + 360(30) - 2500 = 2700

So, the maximum profit for the company is $2700.

Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

Answer:

meidien 39 and the mean 37.2

Step-by-step explanation:

23 32 39 40 52 see 32 is the mediem

add them than dived than u get 37.2

Answer:

9/2

Step-by-step explanation:

Answer:

Which of the following numbers is NOT divisible by 3?

Step-by-step explanation:

You're welcome.

Answer:

241

Step-by-step explanation:

300÷3=100

321÷3=107

241÷3=80.33

8,910÷3=2,970

Answer:

Step-by-step explanation:

We can use the law of sines to find the length of side a. The law of sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle. In other words:

a/sin A = b/sin B = c/sin C

where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the angles opposite those sides.

We are given that A = 80°, B = 60°, and b = 15 cm. We can substitute these values into the law of sines and solve for a as follows:

a/sin 80° = 15/sin 60°

Multiplying both sides by sin 80°, we get:

a = 15*sin 80°/sin 60°

Using a calculator, we can evaluate sin 80° and sin 60° as follows:

sin 80° ≈ 0.9848

sin 60° = √3/2 ≈ 0.8660

Substituting these values, we get:

a ≈ 15*0.9848/0.8660

a ≈ 17.06

Rounding this to the nearest whole number, we get:

a ≈ 17

Therefore, the length of side a is approximately 17 cm.

The measure of angle 1 and the measure of angle 2 are 45° and 90°.

A square is a two-dimensional closed shape with 4 equal sides and 4 vertices. Its opposite sides are parallel to each other.

Given is a square,

We are asked to find the missing angles,

We know that, The diagonals of the square bisect each other at 90°,

The diagonal of a square bisects its internal angle,

Therefore, the measure of angle 1 = 45°

And,

The measure of angle 2 = 90°

Hence, the measure of angle 1 and the measure of angle 2 are 45° and 90°.

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The equation of the graphed function is y = x + 4, x ≥ 4 and y = x² + 3, x < 4

A similar question is added as an attachment

From the attached, we can see that the function types are:

Based on the list of options, we have:

Next, we look at the intervals (domain)

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The third expression i.e. a(b) + a(c) is not equivalent to the other expressions. The solution has been obtained by using the algebraic expressions.

What is an algebraic expression?

A mathematical phrase is said to as "algebraic" if it contains variables, constants, and algebraic operations (addition, subtraction, etc.).

We are given three expressions.

The first expression is a + b+ c which represents the sum of the three variables.

The second expression is c + b + a which also represents the sum of the three variables but just the order of adding is different.

The third expression is a(b) + a(c) which represents sum of two variables multiplied with the third variable.

Hence, the third expression i.e. a(b) + a(c) is not equivalent to the other expressions.

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The expression 25^(2x-3)=125^(x+1) has its solution to be x = 15

From the question, we have the following parameters that can be used in our computation:

25^(2x-3)=125^(x+1)

Express 25 and 125 as exponent with a base of 5

So, we have the following representation

5^2(2x-3)=5^3(x+1)

By comparison, we have

2(2x - 3) = 3(x + 1)

Open the brackets

4x - 12 = 3x + 3

Evaluate the like terms

x = 15

HEnce, the value of x is 15

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Answer:

Step-by-step explanation:

If (x + a) is a factor of x³ + 8x² + 4ax - 3a, then we know that dividing x³ + 8x² + 4ax - 3a by x + a will give a quotient of x² + (8 - a)x + (4a - 3), and a remainder of 0.

We can write this as:

x³ + 8x² + 4ax - 3a = (x + a)(x² + (8 - a)x + (4a - 3))

Expanding the right-hand side, we get:

x³ + 8x² + 4ax - 3a = x³ + (8-a)x² + (4a-3)x + ax² + (8-a)ax + (4a-3)a

Collecting like terms, we get:

x³ + 8x² + 4ax - 3a = x³ + (a+8)x² + (5a-3) x + a(4a-3)

Comparing the coefficients of x², x and the constant term, we get the following equations:

a + 8 = 8   --> a = 0

5a - 3 = 0   --> a = 3/5

4a^2 - 3a = 0 --> a(4a-3) = 0

Therefore, we have:

a³ - 4a² + 3a = a(a² - 4a + 3) = a(a-1)(a-3) = 0

So, a can be 0, 1, or 3

Therefore, the possible values of a are 0, 1, and 3.

The value of x is given as follows:

x = 3.

Applying the secant-tangent theorem, we have that the following equation holds true:

4x² = 6².

Hence we can solve the equation for x to obtain the value of x, as follows:

4x² = 36

x² = 36/4

x² = 9

x = sqrt(9)

x = 3.

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(-7, 4).

[tex]x=-2y+1\\ \\3x+8y=11[/tex]

Most of the times you solve a systems of equations, you'll have to solve one of the equations for one of the variables (x or y), since the first equation is already solved for "x", we may use that and skip this first solving step.

[tex]x=-2y+1[/tex]

[tex]3(-2y+1)+8y=11[/tex]

Chech attached image 1.

[tex](3)(-2y)+(3)(1)+8y=11\\ \\(-6y)+(3)+8y=11\\ \\-6y+3+8y=11[/tex]

[tex]-6y+3+8y-3=11-3\\ \\-6y+8y=8[/tex]

[tex]2y=8[/tex]

[tex]\frac{2y}{2} =\frac{8}{2} \\ \\y=4[/tex]

[tex]x=-2(4)+1\\ \\x=-8+1\\ \\x=-7[/tex]

Now that weëve found a value for both "x" and "y", write the solution as an ordered pair:

(x, y)

(-7, 4).

To algebraically verify your answer, you must use the value of either "x" or "y" on both of the equations and it should return the other value of the missing variable.

Since we already checked with the first equation, go ahead and plug in any of the values on the second equation and check if it returns the correct value.

For example, if we use y=4 in equation 2, it should return an "x" value of -7. Let's test it!

[tex]3x+8(4)=11\\ \\3x+32=11\\ \\3x=11-32\\ \\3x=-21\\ \\\frac{3x}{3} =\frac{-21}{3} \\ \\x=-7[/tex]

That's correct! Answer is (-7, 4).

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Answer:

Where is the question??