Use the proportion d / 180° = r radians/πradians . Find the equivalent degree measure or radian measure. 13π/8 radians

Answer:

the answer to question a is 24

the answer to question b is 8

Answer:

sin x= opp/hyp

sin x=18/30

sin x =3/5

cos x= adj/hyp

cos x=24/30

cos x=4/5

tan x=opp/adj

tan x=18/24

tan x=3/4

Answer:

36/19

Step-by-step explanation:

So to find this answer you have to divide 12 by 6 1/3. To figure that out I first turned 6 1/3 into an improper fraction (19/3) and then I put 12 over 1. To divide a fraction you have to multiply the dividend by the divisors reciprocal in this case 12/1 x 3/19 which equals 36/19 or 1 and 17/19

Hope this helps lol :D

The correct choice is A. The resulting matrix is

\(\[\begin{array}{rrrr}0 & 5 & 7 & -10 \\4 & 8 & 2 & 1 \\-8 & 2 & 3 & -7 \\\end{array}\]\)

To perform the indicated operation, we need to subtract the second matrix from the first matrix. The matrices must have the same dimensions to be subtracted.

Given matrices:

\(\[ \begin{array}{rrrr}2 & 8 & 13 & 0 \\7 & 4 & -2 & 5 \\1 & 2 & 1 & 10 \\\end{array}\]\)

and

\(\[ \begin{array}{rrrr}2 & 3 & 6 & 10 \\3 & -4 & -4 & 4 \\9 & 0 & -2 & 17 \\\end{array}\]\)

These matrices have the same dimensions, so we can subtract them element by element.

Subtracting the corresponding elements, we get:

\(\[ \begin{array}{rrrr}2-2 & 8-3 & 13-6 & 0-10 \\7-3 & 4-(-4) & -2-(-4) & 5-4 \\1-9 & 2-0 & 1-(-2) & 10-17 \\\end{array}\]\)

Simplifying the subtraction, we have:

\(\[ \begin{array}{rrrr}0 & 5 & 7 & -10 \\4 & 8 & 2 & 1 \\-8 & 2 & 3 & -7 \\\end{array}\]\)
Therefore, the resulting matrix is:
\(\[ \begin{array}{rrrr}0 & 5 & 7 & -10 \\4 & 8 & 2 & 1 \\-8 & 2 & 3 & -7 \\\end{array}\]\)

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The area to the left of the z-score corresponds to the cumulative probability up to that point. The correct answer is b. z=0.84.

To find the z-score that separates the top 70% from the bottom 30%, we need to look up the corresponding percentile in a standard normal distribution table.

The area to the left of the z-score corresponds to the cumulative probability up to that point. For example, if we look up a z-score of 0.84 in the table, we find that the area to the left of that value is 0.7995, or 79.95%.

Since we want to find the value that separates the top 70% from the bottom 30%, we subtract 0.30 (or 30%) from 1.00 to get 0.70 (or 70%). We then find the z-score that corresponds to that area, which is approximately 0.84.

Therefore, the answer is b. z=0.84.

To find the Z-score value that separates the top 70% of a normal distribution from the bottom 30%, you need to look for the Z-score corresponding to the 70th percentile. In this case, the correct answer is:

b. z=0.52

Here's a step-by-step explanation:

1. Determine the percentile you're looking for, which is the 70th percentile (separating the top 70% from the bottom 30%).
2. Consult a Z-score table or use a calculator to find the Z-score corresponding to the 70th percentile.
3. The Z-score for the 70th percentile is approximately 0.52.

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Answer:

The scale factor is 4

Step-by-step explanation:

This question requires an attachment; I'll answer this question using the attached figure

From the attachment

Length OA = 3 units

Length OA' = 3 units + 9 units

Length OA' = 12 units

Scale Factor is calculated as follows;

\(Scale\ Factor = \frac{New\ Side}{Original\ Side}\)

Given that the original shape is ABC, the original side will be OA

Hence, Original Side = 3 units

New Side = OA' = 12 units

The formula becomes

\(Scale\ Factor = \frac{12\ units}{3\ units}\)

\(Scale\ Factor = 4\)

Hence, the scale factor is 4

Answer:

4

Step-by-step explanation:

Just clarifying

The expected value of a random variable represents the average value we would expect to obtain if we were to repeat the experiment many times. For a discrete random variable, such as the one you described, the expected value is given by the formula:

E(X) = Σ[x * P(x)],

where x is the possible values that the random variable can take, and P(x) is the probability of the random variable taking the value x.

In your case, the random variable X represents the number of occurrences of an event over an interval of ten minutes, and it is known that the mean number of occurrences in ten minutes is 5.3. Therefore, we can assume that the probability of an occurrence is λ/10, where λ is the average rate of occurrences per minute.

To find the expected value of X, we can use the formula:

E(X) = Σ[x * P(x)]

Since the number of occurrences can range from 0 to infinity, we need to consider all possible values of X. We can use the Poisson distribution to calculate the probability of each value of X, where the parameter λ is equal to 0.53, which is the average number of occurrences per minute.

Using the Poisson distribution formula, the probability of X taking the value x is given by:

\(P(X = x) = (e^(-λ) * λ^x) / x!\)

Substituting λ = 0.53, we have:

P(X = 0) = (e^(-0.53) * 0.53^0) / 0! = 0.5878

P(X = 1) = (e^(-0.53) * 0.53^1) / 1! = 0.3113

P(X = 2) = (e^(-0.53) * 0.53^2) / 2! = 0.0827

P(X = 3) = (e^(-0.53) * 0.53^3) / 3! = 0.0139

and so on...

We can then use the formula for expected value to find the expected value of X:

E(X) = Σ[x * P(x)] = (0 * 0.5878) + (1 * 0.3113) + (2 * 0.0827) + (3 * 0.0139) + ...

Evaluating this infinite sum (which can be done using a calculator or statistical software), we find that the expected value of X is approximately 5.59 occurrences per 10 minutes.

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Answer:

-4

Step-by-step explanation:

10 - 6 - (8)

Subtract 6 from 10 to get 4.

4 - 8

Subtract 8 from 4 to get −4.

-4

Hope it helps. :)

Have a great Day!

Answer:

z≥−3

Step-by-step explanation:

1 Subtract 88 from both sides.

5z≥−7−8

2 Simplify  -7-8−7−8  to  -15−15.

5z≥−15

3 Divide both sides by 55.  

z≥− 15/5

4 Simplify 15/5 to 3

z≥−3

Answer: I think that the answer is all of the above.

I am not 100% sure if that is completely correct so just pick some answers and see if they are correct.

Step-by-step explanation:

In summary, the vector equation of the line passing through p1(-4, -7, 10) and p2(-7, -14, 15) is r = (-4, -7, 10) + t(-3, -7, 5), where r represents any point on the line and t is a scalar parameter. This equation allows us to determine any point on the line by selecting an appropriate value for t.

To find the vector equation of the line passing through the points p1(-4, -7, 10) and p2(-7, -14, 15), we need to determine the direction vector and a point on the line.

The direction vector of the line can be obtained by subtracting the coordinates of p1 from p2. Subtracting the corresponding coordinates gives us the vector (-7, -14, 15) - (-4, -7, 10) = (-3, -7, 5). This vector represents the direction and magnitude of the line.

Next, we choose one of the given points, p1, as a reference point on the line. In this case, we select p1(-4, -7, 10) as the reference point.

Using the direction vector (-3, -7, 5) and the reference point (-4, -7, 10), we can write the vector equation of the line as r = (-4, -7, 10) + t(-3, -7, 5), where r represents any point on the line and t is a scalar parameter.

By varying the value of t, we can obtain different points on the line. For example, when t = 0, the equation becomes r = (-4, -7, 10) + 0(-3, -7, 5) = (-4, -7, 10), which is the reference point p1. When t = 1, we have r = (-4, -7, 10) + 1(-3, -7, 5) = (-7, -14, 15), which is the other given point p2.

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Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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Answer: 7. 35, 8. 42.50

Step-by-step explanation:

7. First, convert 4 3/8 to an improper fractoin.

4 3/8 = 35/8

Now divide 35/8 by 1/8 and you get 35.

8. Each ounce increased 5 dollars, so 8.5 ounces increased 8.5*5 dollars = $42.50

The vertical intercept for the table showing the relationship for Jada's grandparents starting a savings account for her is starting savings amount in the account of $ 600.

The vertical intercept in a graph is the point where a line intersects the vertical axis of the coordinate plane. It represents the value of the dependent variable (y) when the independent variable (x) is equal to zero.

The vertical intercept would therefore be first amount in the savings account by Jada's grandparents which is the $ 600.  This is the amount when x = 0 or rather when x was the starting year of 2006.

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Answer:

15000 square feet.

Step-by-step explanation:

From the statement we have that it would be 2 times the length and 3 times the width due to the divisor, therefore, the perimeter would be equal to:

600 = 2 * l + 3 * w

300 = l + 3/2 * w

we solve for w:

l = 300 - 3/2 * w

in addition the area is equal to:

A = w * l

replacing:

A = w * (300 - 3/2 * w)

A = 300 * w - 3/2 * w ^ 2

We derive:

A '= 300 - 6/2 * w

A '= 300 - 3 * w

we equal 0:

300 - 3 * w = 0

w = 300/3

w = 100

replacing and we calculate l:

l = 300 - 3/2 * 100

l = 150

A = 100 * 150

A = 15000 ft ^ 2

The largest area would be 15000 square feet.

Answer:

nswer:

= 6 dollars per book

Showing Work

This is a fraction equal to

18 dollars ÷ 3 books

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

18 dollars ÷ 3

3 books ÷ 3

=

6 dollars

1 book

=

6 dollars

book

= 6 dollars per book Step-by-step explanation:

The value of (fg)(4) = 192 and (f/g)(4) = 4/3.

The given functions are,

f(x) = \(2^{x}\)

g(x) = 3x

x = 4

Now multiplication of functions

(fg)(x) = f(x).g(x)

         = (3x)( \(2^{x}\))

At    x = 4

(fg)(4) = (3x4)( \(2^{4}\))

         = 12x16

⇒(fg)(4) = 192

Now division of functions

(f/g)(x) = f(x) /g(x)

          =  \(2^{x}\)/3x

At     x = 4

(f/g)(4) =  \(2^{4}\)/3x4

           = 16/12

⇒(f/g)(4) = 4/3

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Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

12^5

Step-by-step explanation:

36^5=3^5×x^5

36÷3=12

The probability that the three pieces can be assembled into a triangle is 25%

Let the length of the stick be 1, so each break can occur at a position in the interval [0,1]. Let x and y be the two breaks in the stick. Then the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is the probability of the triangle.

If y>x, then the lengths of the pieces are x, y-x, and 1-y.

The triangle inequality must hold for each combination of edges.

for  y>x ...

x+y−x≥1−y

x+1−y≥y−x

y−x+1−y≥x

these simplify to...

for  y>x ...

y≥1/2

x+1/2≥y

x≤1/2

If we cut our 1x1 square into two triangles along the line x=y,

then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.

The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.

This region takes up 25% of the square,

Thus, the probability that the three pieces can be assembled into a triangle is 25%

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Answer:

The correct answer is C. Right triangle. When the sum of the three angles in a triangle equals 180 degrees and one of the angles measures 25 degrees and another measures 45 degrees, it means that the remaining angle measures 110 degrees, which is greater than 90 degrees. This indicates that the triangle is a right triangle.

Answer: right angle

Step-by-step explanation: its right i promise

Answer:

3rd option

Step-by-step explanation:

The x values are the domain (input) of the function

The y values are the range (output) of the function

From the table the range of values in ascending order are

{ - 3, - 2, 1, 4, 6 }

Answer:

{-3, -2, -1, 1, 4, 6}

Step-by-step explanation:

The range is the set of outputs or y values.

So, the third answer is correct

Answer:

A us right of first one and d is the right of another one

Answer:

B.) \(6^{\frac{1}{2}}\)

Step-by-step explanation:

Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\).  For this problem, let

a=6

m=2

So,

\(\sqrt6=6^{\frac{1}{2}}\)

Based on the information, the number is 5.

Let the number be x. Tripling the number we get = 3x. On subtraction from 28, the equation will be: 28 - 3x. Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3. Now equating these two equations.

28 - 3x = 2x + 3

Rewriting the equation

3x + 2x = 28 - 3

Performing addition on Left Hand Side and subtraction on Right and Side

5x = 25

x = 25 ÷ 5

Performing division on Right Hand Side

x = 5

Hence, the number is 5.

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Answer:

63, 15, 90

Step-by-step explanation:

Answer:

A=½bh

165=15b(½)

multiply both sides

330=15b

divide

22=b

Circle C can be transformed into Circle D to show similarity through dilations, translations, or reflections.

To show that Circle D is a similar figure to Circle C, we need to perform a transformation that preserves the shape of the circle while possibly changing its size and position. The following transformations can be used to demonstrate similarity between the two circles:

Dilations: Circle C can be dilated by a scale factor to create Circle D. The dilation center should be the same as the center of Circle C. The scale factor determines the change in size between the two circles while maintaining their proportional relationships.

Translation: Circle C can be translated to a different position to create Circle D. The distance and direction of the translation determine the new position of Circle D while preserving its shape.

Reflection: Circle C can be reflected across a line to create Circle D. The line of reflection should pass through the center of Circle C. The reflection flips the circle to the opposite side of the line while maintaining its shape.

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Answer:

FV= $10,714.81

Step-by-step explanation:

Giving the following information:

Initial investment= $7,567

Number of periods= 7*4 = 28 quarters

Interest rate= 0.05/4= 0.0125

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 7,567*(1.0125^28)

FV= $10,714.81