Are the following two lines Parallel, Perpendicular, or Neither and WHY? Select the correct answer choice below.

The number of steps they climbed can be represented by positive

From the question, we understand that they climbed up

Upward movements are usually represented by the positive sign

This means that:

Steps = 125 or +125

Hence, the number of steps they climbed can be represented by positive

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The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer:

31 /183

Explanation:

There are 31 Jazz songs out of a total of 183 songs.

Therefore, the probability of randomly selecting a Jazz song is

31/183

which is an irreducible fraction ( cannot be simplified further).

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

Step-by-step explanation:

The combination of 6 out of 20:

It's 87 feet I got the answer right

The  height of the tree is estimated as 87 ft.

The height of the tree can be estimated using trigonometric ratios. Therefore,

tan 44° = opposite / adjacent

tan 44° = h / 90

h = 90 tan 44°

h = 90 × 0.9656887748

h = 86.9119897326

h ≈ 87 ft

Therefore, the  height of the tree is estimated as 87 ft.

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The equation of a line in point slope form is expressed according to the formula;

y-y0 = m(x-x0)

Given the following parameters

m = -3

(x0, y0) = (-4, 1)

Substitute into the formula above will givee;

y - 1 = -4(x+4)

y -1 = -4x - 16

y = -4x - 15

Next is to plot the graph of the line y = -4x - 15 on the coordinate plane as shown:

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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

Define measurement?

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The simplest form of log5+log6-log2​ is:  log15.

Let us simplify log5 + log6 - log2 by making use  logarithmic rules:

log a + log b = log (ab)

log a - log b = log (a/b)

So,

log5 + log6 - log2

= log (5 x 6) - log2

= log30 - log2

Now let make use of the  logarithmic rule:

log a - log b = log (a/b) = log a - log b

log30 - log2

= log (30/2)

= log15

Therefore the simplest form is log15.

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Answer:

Step-by-step explanation:

To compare these two values, we first need to convert the mixed number 7 3/8 to an improper fraction. To do so, we multiply the whole number (7) by the denominator of the fraction (8), then add the numerator (3), and put the result over the denominator:

7 3/8 = (7 x 8 + 3) / 8 = 59/8

Now we can rewrite the inequality as:

(59/8) × (4/5) < 59/8

To simplify the left-hand side of the inequality, we multiply the numerators and denominators:

(59/8) × (4/5) = (59 × 4) / (8 × 5) = 236/40 = 59/10

So the inequality becomes:

59/10 < 59/8

To compare these fractions, we need to find a common denominator. The least common multiple of 8 and 10 is 40, so we can convert both fractions to have a denominator of 40:

59/10 = (59 x 4) / (10 x 4) = 236/40

59/8 = (59 x 5) / (8 x 5) = 295/40

Now we can see that 236/40 < 295/40, which means that:

59/10 < 59/8

Therefore, the inequality 7 3/8 × 4/5 < 7 3/8 is true.

Answer:

Method 1: Diagonal multiplication to calculate 168 percent of 1867.

For 100, our answer will be 168

For 1867, our answer will be x

100*x = 168*1867 (In Step 1 and 2 see colored text; Diagonal multiplications will always be equal)

x = 168*1867/100 = 313656/100 = 3136.56

Answer: 168 percent of 1867 is 3136.56

Method 2: Same side division to calculate 168 percent of 1867

For 100, our answer will be 168

For 1867, our answer will be x

100/1867 = 168/x (In Step 1 and 2, see colored text; Same side divisions will always be equal)

168/x = 100/1867 or x/168 = 1867/100

x = 1867*168/100 = 313656/100 = 3136.56

Answer: 168 percent of 1867 is 3136.56

Method 3: Converting Percentage to Decimal to calculate 168 percent of 1867

Find the decimal equivalent of 168 i.e. 168/100 = 1.68

Multiply the decimal equivalent (above) to the given number i.e. 1867*1.68 = 3136.56

Answer: 168 percent of 1867 is 3136.56

168 Percentage example

Percentages express a proportionate part of a total. When a total is not given then it is assumed to be 100. E.g. 168% (read as 168 percent) can also be expressed as 168/100 or 168:100.

Example: If you earn 168% (168 percent) profit then on an investment of $100 you receive a profit of $168.

Answer:

314664

Step-by-step explanation:

We are going to multiply 168 by every place value (e.g. 1873 can be broken down into 1000 + 800 + 70 + 3).

* = Going to be used in calculations

* Multiplying 168 by 1000 will give you 168000.

Multiplying 168 by 100 will give you 16800.

* Multiplying 168 by 800 will give you 16800 x 8 = 134400.

Multiplying 168 by 10 will give you 1680.

* Multiplying 168 by 70 will give you 1680 x 7 = 11760.

Multiplying 168 by 1 will give you 168.

* Multiplying 168 by 3 will give you 168 x 3 = 504.

For calculation, we do 168000 + 134400 + 11760 + 504.

1688000 + 134400 = 302400

302400 + 11760 = 314160

314160 + 504 = 314664.

There you have your answer.

(If it's easier, just use your calculator)

Answer: The number is 14

Step-by-step explanation:

A number is increased by 20:  (X + 20)

Then doubled: 2(X + 20)

5 times the number: 5X

2 less than 5 times the number: 5X - 2

Setting the bold statements equal: 2(X+20) = 5X - 2

Distribute left side: 2X + 40 = 5X - 2

Move X's: 40 = 3X - 2

Move numbers: 42 = 3X

Divide both sides by 3: X = 14

Answer: -6

Step-by-step explanation:

1. Evaluate the expressions inside the innermost brackets and braces first:

 \(\((-2)^2 \cdot 2 - 6 = 4 \cdot 2 - 6 = 8 - 6 = 2\)\)

  So, the expression becomes:

  \(\(14 - \{7 + 4 \cdot 3 - 2\}+ (2^2 + 6 - 5 \cdot 3) + 3 - (5 - 2^3 / 2)\)\)

2. Continue evaluating the expressions inside the braces:

  \(\(7 + 4 \cdot 3 - 2 = 7 + 12 - 2 = 17\)\)

  So, the expression becomes:

\(\(14 - 17 + (2^2 + 6 - 5 \cdot 3) + 3 - (5 - 2^3 / 2)\)\)

3. Now, evaluate the expressions inside the parentheses:

\(\(2^2 + 6 - 5 \cdot 3 = 4 + 6 - 15 = -5\)\)

 \(\(5 - 2^3 / 2 = 5 - 8 / 2 = 5 - 4 = 1\)\)

  So, the expression becomes:

\(\(14 - 17 - 5 + 3 - 1\)\)

4. Finally, perform the remaining operations:

\(\(14 - 17 - 5 + 3 - 1 = -3 - 5 + 3 - 1 = -6\)\)

So, the result of the expression is -6.

Answer:

Answer:

Step-by-step explanation:

To find: The measure of each exterior angle of a regular hexagon. We know that the number of sides of a hexagon is, n = 6. By the sum of exterior angles formula, Each exterior angle of a regular polygon of n sides = 360° / n.

Step-by-step explanation:

-t = 9(t-10)

-t = 9t - 90

90 = 9t + t

90 = 10t

90 ÷ 10 = t

9 = t

Answer:

the answer is the first one

Given the following quadratic equation:

The given equation is already in standard form a^2y + by + c = 0. Thus, we can say that a, b and c values are the constants of each term.

Therefore,

a = -2

b = 1

c = 0

To be able to determine the solution, we will be using the following formula:

Plugging in the values of a, b and c, we get:

Therefore, the solutions of the given quadratic equation are y = 0 and y = 1/2 or 0.5. It has two different solutions.

The triangle in the figure given is a scalene triangle

There are three main types of triangles: right triangles, acute triangles, and obtuse triangles. Right triangles have one angle that is 90 degrees, while acute triangles have all angles less than 90 degrees, and obtuse triangles have one angle that is greater than 90 degrees.

1. Equilateral Triangle: All sides and angles are equal in an equilateral triangle.

2. Isosceles Triangle: Two sides and two angles are equal in an isosceles triangle.

3. Scalene Triangle: No sides or angles are equal in a scalene triangle.

4. Right Triangle: A right triangle has one angle that is 90 degrees.

5. Acute Triangle: All angles in an acute triangle are less than 90 degrees.

6. Obtuse Triangle: One angle in an obtuse triangle is greater than 90 degrees.

The angles given in this triangle have all their values less than 90 degrees. This makes them a scalene triangle.

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Answer:

99.42

Step-by-step explanation:

Rounded to nearest hundredth means rounded to 2 decimal places. If we take only the first two decimal places the value is 99.41 but since the next digit is ≥ 5 (it is a 9), we round up to 99.42

Answer:

100mi just round it by the last nine

Answer:

Larissa had 20 friends with her at the fair.

Step-by-step explanation:

To find the number of friends Larissa had at the fair, we need to set up an equation to represent the given information. Let F be the number of friends Larissa had at the fair. We know that she gave 3 raffle tickets to each of her friends, so the number of raffle tickets she gave to her friends is 3F. She had 67 raffle tickets and gave away 3F tickets, so she had 67-(3F) tickets left over. We also know that she had 7 tickets left over, so we can set up the equation 67-(3F) = 7.

To solve this equation, we need to isolate the variable F. We can do this by adding 3*F to both sides of the equation:

67-(3F) + 3F = 7 + 3F

67 = 7 + 3F

60 = 3*F

Finally, we can divide both sides of the equation by 3 to find the value of F:

60/3 = 3*F/3

20 = F

Thus, Larissa had 20 friends with her at the fair.

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer:

The midpoint of the segment is (-0.5,0.5).

Step-by-step explanation:

Midpoint of a segment:

The midpoint of a segment is given by the mean of its coordinates.

Segment with end points (4,2),(-5,-1)​

x-coordinates: 4 and -5

y-coordinates: 2 and -1

x-coordinate of the midpoint:

\(x = \frac{4-5}{2} = -\frac{1}{2} = -0.5\)

y-coordinate of the midpoint:

\(y = \frac{2-1}{2} = \frac{1}{2} = 0.5\)

The midpoint of the segment is (-0.5,0.5).

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.

The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.

Therefore, let's represent the line with yellow point in slope intercept form.

Hence,

y = mx + b

where

Therefore, using (0, 2) and (6, 9).

m = 9 - 2 / 6 - 0

m = 7 / 6

Hence, let's find the y-intercept

y = 7 / 6 x + b

2 = 7 / 6(0) + b

b = 2

Therefore,

y = 7 / 6 x + 2.

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The dairy farmer would mix 1120 pounds of 75% protein supplement and 280 pounds of 50% protein ration to make 1400 pounds of a high grade 70% protein ration.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount of 75% protein supplement and y represent the amount of 50% protein, hence:

x + y = 1400     (1)

Also:

0.75x + 0.5y = 0.7(1400)     (2)

Hence:

x = 1120, y = 280

The dairy farmer would mix 1120 pounds of 75% protein supplement and 280 pounds of 50% protein ration to make 1400 pounds of a high grade 70% protein ration.

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Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount

P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.

We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.

Let's substitute the given values into the formula and solve for t:

56,398.43 = 500(1 + 0.06/2)^(2t)

Divide both sides by 500:

112.79686 = (1 + 0.03)^(2t)

Take the natural logarithm of both sides to eliminate the exponent:

ln(112.79686) = ln(1.03)^(2t)

Using the property of logarithms, we can bring down the exponent:

ln(112.79686) = 2t * ln(1.03)

Now, divide both sides by 2 * ln(1.03):

t = ln(112.79686) / (2 * ln(1.03))

Using a calculator, we find t ≈ 17.12.

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Answer:

5m

Step-by-step explanation:

regla de 3:

1m = 3ft

15 pies ÷ 3 = 5m