Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
5
5+√102

the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.

We are given an expression:

x² - x + y²

We need to find the value of the expression for x = 5 and y = - 2.

Now, substituting the values of x and y in the expression that is given to us, we get that:

x² - x + y²

( 5 )² - ( 5 ) + ( - 2 )²

Solving the squares of the numbers, we get that:

25 - 5 + 4

Simplifying to get the value of the expression, we get that:

= 24

Therefore, the value for the expression x² - x + y² for x = 5 and y = - 2 will be 24.

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Answer:

84

Step-by-step explanation:

A= \(\frac{1}{2}\)b*h

A= \(\frac{1}{2}\)14*12

A=84

Answer:

8,480

Step-by-step explanation:

Multiply 4 by 2,120 and it will be the answer  

The equation for the trajectories orthogonal to the family of functions of the form 5 · x² - 2 · y² = C is equal to (1 / 5) · ㏑ x + (1 / 2) · ㏑ y = C.

In this problem we have a family of functions in implicit form, that is, a function of the form f(x, y, c) = 0. The equation of a orthogonal trajectory is always perpendicular to a particular form of a equation. First, we determine the first derivative of the given expression:

5 · x² - 2 · y² = C

10 · x - 4 · y · y' = 0

4 · y · y' = 10 · x

y' = (10 · x) / (4 · y)

y' = (5 · x) / (2 · y)

If f(x, y) = (5 · x) / (2 · y), then the differential equation for the orthogonal trajectories related to the family of functions is:

y' = - 1 / f(x, y)

y' = - (2 · y) / (5 · x)

dy / (2 · y) = - dx / (5 · x)

By indefinite integration we get the following solution to the ordinary differential equation:

(1 / 2) · ㏑ y = - (1 / 5) · ㏑ x + C

(1 / 5) · ㏑ x + (1 / 2) · ㏑ y = C

The equation for the trajectories orthogonal to the family of functions of the form 5 · x² - 2 · y² = C is equal to (1 / 5) · ㏑ x + (1 / 2) · ㏑ y = C.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)

Answer : 0.99

Explanation :  15 * 6.6/100 For The Tax.

Total : 15.99

Answer:

for us to be able to ascertain whether a function has no limit we approach from two points which are from zero and infinity.

Step-by-step explanation:

the two best path to approach a function is to approach from zero and approach from infinity, literary what we are trying to do is approach from the smallest to the greatest and it each point we can conclude with certainty whether the function has a limit or not.

The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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Answer:

Can you take a clear pic pls

Step-by-step explanation:

Answer:

She has to save $48 dollars each week

Step-by-step explanation:

For this equation, all you have to do is divide 720 dollars by 15 weeks, or 720 divided by 15. That gets you your answer of 48.

Hope this helps!

Answer:

3i4tvrc3qob3t424

Step-by-step explanation:

I Answer:

Hey! I have the answer if you want it between two whole numbers.

Answer is 10 and 11

Step-by-step explanation:

Got this off of someone else ages ago! Hope this helps you

Answer:

ITS C-    135/100 = n/48

Step-by-step explanation

i know

Answer:

c

Step-by-step explanation:

Answer:

the answer is (a) 80%.

Step-by-step explanation:

Let's assume that there were 100 students in the class.

Then, from the given information, we know that:

60 students passed the second exam.

48 students passed both exams.

To find the percentage of those who passed the second exam and also passed the first exam, we can use the formula:

(number of students who passed both exams / number of students who passed the second exam) x 100%

Substituting the values we have:

(48 / 60) x 100% = 80%

Therefore, the answer is (a) 80%.

Answer:

the center is (-2,5) and the radius is 6

This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

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Answer:

12.5km

hope this helps

have a good day :)

Step-by-step explanation:

Answer:12.5Km

Step-by-step explanation:

You do 2.5 x 5

Answer:

to solve the equation you first need to bring it to factors and by doing that you first need to let the equation equal 0 hence you need to minus 2 on both sides of the equation therefore

x^2 + 10x + 25 - 2 =2 - 2

therefore

x^2 + 10x +23 = 0

now since the equation cannot be factored, we use the formula.

x= \(\frac{-b +- \sqrt{b^{2}-4ac } }{2a}\)

where

a=1

b=10

c=23

note we use the coefficients only.

therefore x = \(\frac{-10 -+ \sqrt{10^{2}-4(1)(23) } }{2(1)}\)

=\(\frac{-10-+\sqrt{100-92} }{2}\)

=\(\frac{-10-+\sqrt{8} }{2}\)

then we form two equations according to negative and positive symbols

x=\(\frac{-10+\sqrt{8} }{2} or x =\frac{-10-\sqrt{8} }{2}\)

therefore x = \(-5+\sqrt{2}\)   or x=\(-5-\sqrt{2}\)

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

To find out how many months it takes to pay off the credit card and the total amount paid including interest, we can use the following steps:

Step 1: Calculate the monthly interest rate

Divide the annual percentage rate (APR) by 12 to get the monthly interest rate.

Monthly interest rate = 14.5% / 12 = 0.145 / 12 = 0.01208 (rounded to 5 decimal places)

Step 2: Set up the equation for the number of months

Let's denote the number of months it takes to pay off the card as 'n'. The monthly payment is $1,200.00, and the initial balance is $3,287.90. The monthly interest rate is 0.01208. The equation for the number of months can be written as:

(1) $3,287.90 ×\((1 + 0.01208)^n\) - $1,200.00 ×\([(1 + 0.01208)^n\) - 1] = 0

Step 3: Solve the equation

To find the value of 'n', we need to solve equation (1). However, solving it algebraically can be complex. Instead, we can use numerical methods like trial and error, or we can use a spreadsheet or a calculator to find the solution.

Using a spreadsheet or a calculator, we can input the values and increment 'n' until we find the point where the equation equals zero.

After performing the calculations, it is determined that it takes approximately 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

Therefore, the answer to the original question is that it takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

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Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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Answer:

11

Step-by-step explanation:

Answer:

anwser is 7

Step-by-step explanation:14-7 equals 7 then 7x7 49 then divide 7 by 49 then 3-2 then 7x1 equaks 7

Check the picture below.

so we can just look at it as the LCD and 4 and 5 is 20, so they'll have a simultaneous sale every 20 days or every LCD time.

Looking at the graph

we have that

z1=(4,6i) -------> 4+6i

z2=(-5,2i) -----> -5+2i

so

Part a

Conjugate of z2

we know that

z2=-5+2i

the conjugate of z2 is -5-2i

to find out the conjugate change the sign of the imaginary part

(-5,-2i)

Part B

Find out z2-z1

z1=(4,6i)

z2=(-5,2i)

so

z2-z1=(-5-4,2i-6i)

z2-z1=(-9,-4i)

to find out the coordinate of the real axis, subtract the coordinates of the real axis and to find out the coordinate of the imaginary part, subtract the coordinates of the imaginary parts

Answer:

keyboard and mouse are two examples of input device

Answer:

keyboard and mouse

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

BC

AB

AC

Step-by-step explanation:

The smallest side is BC

The next smallest side is AB

The largest side is AC

Answer:

1. Rewrite as the first rational expression multiplied by the reciprocal of the second.

2.Factor the numerators and denominators.

3.Multiply the numerators.

4.Multiply the denominators.

5.Simplify.

Answer:

250 - 6 - 3n

Step-by-step explanation:

Let n equal the number of students.

Answer:

Step-by-step explanation:

If the value of x varies directly with y and x=1/3 and y =5, then the equation represents the variation is x = (1/15)y

The value of x varies directly with y

So, the x is directly proportional to y

x ∝ y

x = ky

Where k is the constant of variation

Given that the values of  x = 1/3 and y =5

Substitute the values in the equation

1/3 = 5k

k = (1/3)÷5

k = 1/15

The equation is

x = (1/15)y

Hence, if the value of x varies directly with y and x=1/3 and y =5, then the equation represents the variation is x = (1/15)y

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The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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Answer: Triangle C.

Step-by-Step Explanation:

To solve this problem, we need to understand what it means for a triangle to be a translation of another triangle. A translation for a triangle means that it is the same shape and size as the original triangle, but it has shifted (or moved) a specific number of units either up, down, left, or right.

In this problem, we have Triangle P, which has been shifted 5 units to the right and 7 units up to form Triangle C. To determine which triangle is a translation of Triangle P, we can look at the coordinates of the different triangles.

Triangle A: (1, 4), (3, 7), (5, 6)

Triangle B: (2, 3), (4, 6), (6, 5)

Triangle C: (6, 11), (8, 14), (10, 13)

Triangle D: (3, 5), (5, 8), (7, 7)

If we compare the coordinates of each triangle with those of Triangle P, we can see that Triangle C, with coordinates (6, 11), (8, 14) and (10, 13), is the translation of Triangle P because all of the coordinates of Triangle P have been shifted 5 units to the right, and 7 units up. Therefore, the answer is Triangle C.