In ABC, find x.
A is 35°
B is 60°
C is x
What’s x?

The system of equations has no solution when solving with elimination or substitution

so No solution is the answer

checking

y = 5x -6 ------(1)

y =5x +2------(2)

5x +2 = 5x-6

5x -5x = -6 -2

0 =-8

hence there is no solution since all variables are eliminated

Answer:

\( \sqrt[3]{ - 343} = - 7\)

I hope I helped you^_^

Answer:

-7

Step-by-step explanation:

\( \sqrt[3]{ - 343} \)

is the same as, let say we have a value a.

\(a \times a \times a = - 343\)

We know a negative multipled 3 times is negative so our answer is a negative.

a cube root of 343 is 7 so the cube root of -343 is -7.

\( - 7\)

\( - 7 \times - 7 \times - 7 = - 343\)

There is an outstanding bond from BP with a 15-year maturity, a $1,000 par value, a 6.9% coupon rate that is paid semi-annually, and a price of 98.17. As a result, the annual cost of debt for this bond is roughly 8.5 percent.

To calculate the cost of debt, we need to determine the yield to maturity (YTM) of the bond. The YTM is the rate of return an investor would earn by purchasing the bond and holding it until maturity. We can use the bond pricing formula to calculate the YTM.

The bond pricing formula is as follows:

\(\text{Bond Price} = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Where:

C = Coupon payment

r = Yield to maturity (YTM)

n = Number of periods

M = Par value

Given information:

Coupon payment (C) = \(\$1,000 \times \frac{6.1\%}{2} = \$30.50\)

Par value (M) = $1,000

Bond price = $1,000 × 83.57% = $835.70

We know the bond has 15 years to maturity, and coupons are paid semiannually. So, the number of periods (n) is 15 years × 2 = 30.

Using the bond pricing formula, we can rearrange it to solve for the YTM:

\(Bond Price = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Substituting the given values:

\($835.70 = \left(\frac{{\$30.50 \times (1 - (1 + r)^{-30})}}{{r}}\right) + \left(\frac{{\$1,000}}{{(1 + r)^{30}}}\right)\)

To find the YTM, we need to solve this equation either algebraically or using numerical methods like trial and error or using financial calculators/spreadsheets.

By using a financial calculator or spreadsheet, we find that the YTM is approximately 8.5%. Therefore, the cost of debt for this bond is approximately 8.5% per year.

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Complete question :

Problem 17 Intro BP has a bond outstanding with 15 years to maturity, a $1,000 par value, a coupon rate of 6.1%, with coupons paid semiannually, and a price of 83.57 (percent of par). | Attempt 1/10 for 10 pts. Part 1 What is the cost of debt? B+ decimals Submit

Answer:

87

Step-by-step explanation:

y' = f'(x) = (4 - C1e^x)/(1 - x)^2

Differentiate the given equation with respect to x:

x' - xy + y = 4

Differentiating both sides with respect to x using the product rule, we get:

x'' - y - xy' + y' = 0

Simplifying, we get:

x'' + (y - 1)y' = 0

Now, since y = f(x), we can write y' as f'(x). Substituting in the above equation, we get:

x'' + (f(x) - 1)f'(x) = 0

This is a first-order linear differential equation, which we can solve using an integrating factor. The integrating factor is e^(-x). Multiplying both sides by e^(-x), we get:

e^(-x)x'' + e^(-x)(f(x) - 1)f'(x) = 0

Using the product rule on the left-hand side, we can rewrite this as:

(e^(-x)x')' + e^(-x)f'(x) - e^(-x)f'(x) = 0

Simplifying, we get:

(e^(-x)x')' = 0

Integrating both sides with respect to x, we get:

e^(-x)x' = C1

where C1 is a constant of integration. Solving for x', we get:

x' = C1e^x

Substituting this into the original equation, we get:

C1e^x - xy + y = 4

Solving for y, we get:

y = (C1e^x + 4)/(1 - x)

Now, since y = f(x), we can write:

f(x) = (C1e^x + 4)/(1 - x)

To find y', we differentiate this expression with respect to x:

f'(x) = [(C1e^x)(-1) - 4(-1)]/(1 - x)^2

Simplifying, we get:

f'(x) = (4 - C1e^x)/(1 - x)^2

Now, substituting this expression for f'(x) into the earlier equation, we get:

x'' + (f(x) - 1)f'(x) = 0

x'' + [(C1e^x + 4)/(1 - x) - 1][(4 - C1e^x)/(1 - x)^2] = 0

Simplifying, we get:

x'' - (3C1e^x + 4)/(1 - x)^2 = 0

Thus, the expression for y' is:

y' = f'(x) = (4 - C1e^x)/(1 - x)^2

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Step-by-step explanation:

50/2 = 25

12/4 = 3

25/3 = 8.33

answer - 8.3

In analytic geometry in the plane, there are several ways to specify a line. Here are three commonly used methods:

Slope-Intercept Form: This form specifies a line using its slope (m) and y-intercept (b). The equation is written as y = mx + b, where x and y are the coordinates of any point on the line. The slope represents the steepness of the line, while the y-intercept is the point where the line intersects the y-axis.

Point-Slope Form: This form specifies a line using a known point (x₁, y₁) on the line and its slope (m). The equation is written as y - y₁ = m(x - x₁). This form allows us to easily calculate the equation of a line passing through a given point with a known slope.

General Form: The general form of a line equation is Ax + By + C = 0, where A, B, and C are constants. This form provides a more general representation of a line, allowing for any combination of coefficients A, B, and C. By rearranging the equation, we can express it in other forms like slope-intercept or point-slope form.

Now, let's consider the line given by the equation z + y + 1 = 0. To find a line perpendicular to it, we need to take the negative reciprocal of the coefficient of y. In this case, the coefficient of y is 1, so the negative reciprocal is -1. Thus, the equation of a line perpendicular to it would be y - z = 0.

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Answer:

x=40

Step-by-step explanation:

2x+7+x-10+63=180

3x=120

x=40

This is a prospective cohort study.

We can represent 4 integers as a difference of two distinct members i.e.    {1, -1, 2, -2}.

What are Integers ?

The collection of positive and negative integers is known as an integer. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

Here, we have 3 distinct positive integers which are {1, 2, 3}.

We can list down the integers as a difference of the two distinct members as follows :

1 - 2 = -1

2 - 1 = 1

2 - 3 = -1

3 - 2 = 1

1 - 3 = -2

3 - 1 = 2

So, we can see clearly it is representing only 4 integers which are {1, -1, 2, -2}.

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If this exact question is repeatedly deleted, it's probably because of the ambiguity of the given equation. I see two likely interpretations, for instance:

\(\dfrac{(5\times5)^k}{5^{-8}} = 5^3\)

or

\(\dfrac{5\times 5^k}{5^{-8}} = 5^3\)

If the first one is what you intended, then

\(\dfrac{(5\times5)^k}{5^{-8}} = \dfrac{(5^2)^k}{5^{-8}} = \dfrac{5^{2k}}{5^{-8}} = 5^{2k-(-8)} = 5^{2k+8} = 5^3\)

and it follows that

2k + 8 = 3   ==>   2k = -5   ==>   k = -5/2

If you meant the second one, then

\(\dfrac{5\times 5^k}{5^{-8}} = \dfrac{5^1\times5^k}{5^{-8}} = \dfrac{5^{k+1}}{5^{-8}} = 5^{k+1-(-8)} = 5^{k+9} = 5^3\)

which would give

k + 9 = 3   ==>   k = -6

And for all I know, you might have meant some other alternative... When you can, you should include a picture of your problem.

Answer:

2 / x seconds

Step-by-step explanation:

d = 2 km

s = x km/hr

t = ?

t = d / s

= 2 / x seconds

The formula for time taken is:

\( \to \bf \: time = \frac{distance}{speed} \)

We are given that,

So, The equation will be

\( \tt\implies time = \frac{2 \: km}{x \: km/h} \)

Answer: Let's be honest, no one knows the answer. Unless you want to pay coursehero $9.95/mo for an answer and step-by-step explanation, you're toast.

Some of my answers are absolutely amazing, and actually helpful. But some of my answers are not.

A lot of the time, Brainly's "Expert Verified Answers" are very incorrect, and even if you report it, Brainly does not care.

So, if Brainly ITSELF can't answer a question properly, well,

Simply put, your grade is toast.

And if Brainly deletes this absolutely wonderful fantastic answer, that just means that they are acknowledging that these "Expert Verified Answers" are not as "expert" as they may think they are.

:|

All of the following are measures of central tendency except the range

Mean

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

The mode, median, and mean are the three primary metrics for assessing central tendency. These metrics each give a different indication of the average or central value in the distribution.

Mode

The highest frequency of data and how many times the element is repeated in the data set is known as the mode value.

Median

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average.

Mean, median and mode are different measures of center in a numerical data set. They each try to summarize a dataset with a single number to represent a typical data point from the dataset.

When there are extremes in the sequences that might affect the average of the numbers the median is sometimes employed instead of the mean.

Thus, all of the following are measures of central tendency except the range

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By using triangle properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

In this problem we must determine the distance between two points that are part of a triangle and we can take advantage of properties of triangles to find it. First, we determine the measure of angle L by the law of the cosine:

\(\cos L = \frac{(19.6\,m)^{2}-(14.8\,m)^{2}-(21.4\,m)^{2}}{-2\cdot (14.8\,m)\cdot (21.4\,m)}\)

L ≈ 62.464°

Then, we get the distance between points M and N by the law of the cosine once again:

\(MN = \sqrt{(7.4\,m)^{2}+(10.7\,m)^{2}-2\cdot (7.4\,m)\cdot (10.7\,m)\cdot \cos 62.464^{\circ}}\)

MN ≈ 9.8 m

By using triangle properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

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The domain of the function d(t) describing the Haru's journey to his friend is

In the graph, the input values is the time in hours, t while the output value is distance covered, d in kilometers

The domain is controlled by the input values. considering the time used for the journey as shown in the graph. The journey started from point 0 to the end point 2.1

The maximum time is at 2.1 hours. For the minimum, this is when the journey started which is 0

The domain starts from 0, with 0 not inclusive to 2.1 with 2.1 included

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The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Step-by-step explanation:

soz bro I need the points but that guy too be moving madd

Answer:

Below.

Step-by-step explanation:

1) Alternate exterior angles

2) Alternate interior angles

3) Alternate exterior angles

4) Alternate exterior angles

5) Alternate interior angles

6) Corresponding angles

7)Alternate exterior angles

8) Alternate interior angles

9) Corresponding angles

10) Corresponding angles

When two parallel lines are intersected by a transversal 8 angles are formed.

Alternate exterior angles: These angles are located outside the parallel lines but on the opposite side of the transversal.

Alternate interior angles:

These angles are located inside the parallel lines but on the opposite side of the transversal.

Corresponding angles: These angles are located at the same relative position on the same side of the transversal.

The possible amounts she will spend on candy should be c > 3/4.

To solve a word problem related to inequality, you need to read the problem and identify the key facts and variables. Then, create an inequality that represents the problem and solve it.

Ann buys candy that costs $ 8 per pound.

She will buy more than 6 pounds of candy.

As you read the issue, note the inequality.

Let Ann buy total c candies.

So the cost of c candies is 8c.

As she can buy candy more than 6 pounds.

So the inequality should be

8c > 6

Divide both sides by 8 to find the inequality.

c > 6/8

Now simplify

c > 3/4

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Answer:

If there is more than one X value in the ordered pairs and they have different Y values, it is not a function. Otherwise, it is a functio

Answer:

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!

In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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Answer:

Area of Rectangle = Width × Length

10 × 8 = 80

Step-by-step explanation:

give brainliest

Answers:

Everything is rational but choice D

=======================================================

Explanation:

A rational number is anything in the form p/q where p and q are integers. The value of q cannot be zero.

So that's why -4/11 is rational. Here we have p = -4 and q = 11.

Any terminating decimal is rational. For choice A, we have 3.14 = 314/100

Choice C is also rational because \(\sqrt{\frac{4}{9}} = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}\)

Choice E is rational since 6 = 6/1.

In short, choices A, B, C, and E are rational.

------------------

The only irrational answer is d) 2pi

pi is irrational because we cannot write it as a fraction of two integers. Any number in the form n*pi, where n is any integer, is also irrational.

There are 72 multiples of 9³ that are greater than \(9^4\) and less than \(9^5\).

We have,

The values of 9³, \(9^4\), and \(9^5\):

9³ = 729

\(9^4\) = 6561

\(9^5\) = 59049

Now,

The multiples of 729 that fall within the range (6561, 59049).

The number of multiples can be calculated as follows:

Multiples = (Highest value ÷ Divisor) - (Lowest value ÷ Divisor)

= (59049 ÷ 729) - (6561 ÷ 729)

= 81 - 9

= 72

Therefore,

There are 72 multiples of 9³ that are greater than \(9^4\) and less than \(9^5\).

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Answer: Option B

Step-by-step explanation: The slope is positive because it is going up from left to right. Therefore, it cannot be negative.

Answer: (B) The slope of the line is \(-\frac{3}{5}\).

Step-by-step explanation:

     Since this line is going from the bottom left to the top right, the slope is positive. This means that option B is incorrect, therefore meaning statement B is our answer as it's not true.

           The slope is \(\frac{3}{5}\), not \(-\frac{3}{5}\).