Help Me :^

What is the quotient?

~Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth~

a. Negative 1 and one-half

b. Negative StartFraction 3 over 32 EndFraction

c. StartFraction 3 over 32 EndFraction

d. 1 and one-half

Part b

we have

2y=-x-8

Remember that

the equation in slope intercept form is

y=mx+b

so

Isolate the variable y

divide by 2 both sides

2y/2=-(x/2)-8/2

Part c

we have

y-4=-3(x-3)

apply distributive property right side

y-4=-3x+9

Adds 4 both sides

y=-3x+9+4

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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Answer:

£3549

Step-by-step explanation:

The value of the car depreciates by 35% each year, so we can calculate the depreciation for 2006 as follows:

Depreciation for 2006 = 0.35 * £5460 = £1911

The value of the car at the end of 2006 is:

£5460 - £1911 = £3549

Answer:

The depreciation rate:

Step-by-step explanation:

Step 1: Total depreciation = 35% x 2 years = 70%

Step 2: Find the value of the car at the end of 2006:

Value at the end of 2006 = 5460 x (100 - 70)/100 = 1638

Therefore, the value of the car at the end of 2006 was £1638.

Answer:  $4,000

Step-by-step explanation:

If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.

Since the commission rate is 40%, we can set up the equation:

40% x Total Sales = Commission Earned

We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:

40% x Total Sales = Commission Earned

40% x (15 x Price per Car) = $30,000

6 x Price per Car = $30,000

Price per Car = $5,000

However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:

Commission per Car = 40% x Price per Car

Commission per Car = 40% x $5,000

Commission per Car = $2,000

Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:

Amount earned per Car = Total Earnings / Number of Cars Sold

Amount earned per Car = $40,000 / 15

Amount earned per Car = $4,000

9514 1404 393

Answer:

  a = 102°

  b = 78°

  c = f = 58°

  d = 122°

  e = 26°

Step-by-step explanation:

The usual rules apply:

__

There are a couple of angles we can find right away:

  b corresponds to 78°, so has that measure

  a is supplementary to b, so is 180° -78° = 102°

  e is complementary to 64°, so is 26°

The unmarked angle between 78° and f is vertical to 44°, so we have ...

  78° +44° +f = 180°

  f = 58°

Angle c corresponds to angle f, so is 58°

Angle d is supplementary to angle c, so is 180° -58° = 122°

In summary, ...

  a = 102°

  b = 78°

  c = f = 58°

  d = 122°

  e = 26°

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:

Step-by-step explanation:

From the given information:

The mean \(\hat x = \dfrac{\sum x}{n}\)

\(\hat x = \dfrac{25+36+41+28+29+32+29+37+34+34+37+35+30+36+31+31}{16}\)

\(\overline{x} = \dfrac{535}{16}\)

\(\overline{x} = 33.44\)

The sample variance is as follows:

\(S^2 = \dfrac{\sum dx^2 - ( \dfrac{\sum dx)^2}{n} )}{n-1}\)

\(S^2 = \dfrac{279- ( \dfrac{7}{15} )^2}{15}\)

\(S^2 = 18.585\)

Step-by-step explanation:

only the circle

as cylinder is neither oval nor triangle not a rectangle..

so cylinder has circle as the cross section

Answer:

This is for a different question but hope this helps too!

Step-by-step explanation:

Answer:

1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)

2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

Step-by-step explanation:

Problem 1

\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)

Problem 2

\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)

Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)

Answer:

y=44x

Step-by-step explanation:

The graph of the function y=2/x +2 is attached below.

The reciprocal function is defined as the multiplicative inverse of the given function.

Let the function is given by f(x)=x

then its reciprocal function is given by y=1/x

Here the given function is y=2/x+2

which is formed by the transformation of the parent function y=1/x

If we transform the function y=1/x by multiplying with 2 for which the function will be moved up in the 1st quadrant and the function will be moved down in the 3rd quadrant. After that transformation, the function is added by 2 for which the graph is moved upward by 2 units after which we got the original function given in the question.

Therefore the graph of the y=2/x +2 is attached below which is in 1st and 3rd quadrants.

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Answer:

46

Step-by-step explanation:

Answer:

x = 46

Step-by-step explanation:

130 + z = 180

z = 50

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

96 + y = 180

y = 84

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

x + z + y = 180

x +50 + 84 = 180

134 + x = 180

x = 46

The categories and their  Percentages on the circle graph would be as follows:

Cape: 25%

Garrison: 40%

Split: 35%

To represent the distribution of house types in a town containing 25,000 houses on a circle graph, we need to determine the percentage of each category.

The given data provides the following frequencies for each house style:

Cape: 6,250 houses

Garrison: 10,000 houses

Split: 8,750 houses

To calculate the percentage for each category, we divide the frequency of each house style by the total number of houses in the town (25,000) and multiply by 100.

Percentage for Cape: (6,250 / 25,000) * 100 = 25%

Percentage for Garrison: (10,000 / 25,000) * 100 = 40%

Percentage for Split: (8,750 / 25,000) * 100 = 35%

Therefore, the categories and their respective percentages on the circle graph would be as follows:

Cape: 25%

Garrison: 40%

Split: 35%

These percentages represent the proportion of each house style in the town and can be visually represented on a circle graph to provide a clear visualization of the distribution of house types.

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Answer:

4.472135955

Step-by-step explanation:

Answer:

i think it's 1.7082039325

Step-by-step explanation:

The value of the functions at f(-4) = 21 and f(0) = 13.

To evaluate f(x)=-2x+13 for f(-4) and f(0), we need to substitute the values into the equation and solve:

f(-4) = -2(-4) + 13 = 8 + 13 = 21

f(0) = -2(0) + 13 = 13

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Answer:

C

Step-by-step explanation:

Trust Bro

Number of countries would west Virginia be expected to have is  18 countries

The number of campgrounds that North Dakota has = 465 campgrounds

The number of countries = 12 countries

The number of campgrounds that West Virginia has = 711 campgrounds

Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.

The proportion will be

465 / 12 = 711 / x

Divide the terms

38.75 = 711 / x

x = 711 / 38.75

Divide the terms

x = 18.4

x ≈ 18 countries

Hence, number of countries would west Virginia be expected to have is  18 countries

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Answer:

429.7

Step-by-step explanation:

Answer:

429,710

Step-by-step explanation:

Answer:

i dont know either

Step-by-step explanation:

Answer:

I'm pretty sure the answer is B

Step-by-step explanation:

Hope this helped :) Sorry if its wrong

Answer:

b

Step-by-step explanation:

I like to think of it as this:

If the circle is filled, it is \(\leq or \geq \\\) (more)

If not, it's < or >

The arrow points in the direction the line is going.

In this graph, the line is going to the left. So is the symbol.

To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R

The possible perimeters are 140 feet, 148 feet and 160 feet.

In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.

Area of a rectangle = length x width

Width = area / length

1200 / 40 = 30 feet

1200 / 50 = 24 feet

1200 / 60 = 20 feet

Perimeter of a rectangle = 2 x (length + width)

Perimeter when width is 30 feet : 2(40 + 30) = 140 feet

Perimeter when width is 24 feet : 2(24 + 50) = 148 feet

Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet

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Answer:

In the form of

Y= mx+c

Y= 1/2x +2

m = 1/2

Step-by-step explanation:

A linear equation in it's standard form is in the format

Y= mx+c

Where m is the slope and c is the y intercept

Let's use these two points to determine both the slope and the equation

(2, 3), (4,4)

Slope= (y2-y1)/(x2-x1)

Slope= (4-3)/(4-2)

Slope= 1/2

Equation of the linear function

(Y-y1)/(x-x1)= m

(Y-3)/(x-2)= 1/2

2(y-3) = x-2

2y -6 = x-2

2y= x-2+6

2y= x+4

Y= 1/2x +2

Answer: B

Step-by-step explanation:

Answer:

The answers are different because he used the multiplication of the fractions incorrectly.

Step-by-step explanation:

\( \frac{3}{4} \div 6\)

we know that a whole number 6 can be written as a fractions as:

\( \frac{6}{1} \)

so the new equation will be:

\( \frac{3}{4} \div \frac{6}{1} \)

we know that in division of fractions, we flip the divisor in the equation so that it becomes:

\( \frac{3}{4} \times \frac{1}{6} \)

now we can cross multiply and cancel stuff off so it will become:

\( \frac{1}{4} \times \frac{1}{2} \)

and now we can multiply denominator and numerator since nothing else can be canceled off:

\( = \frac{1}{8} \)

and 1/8 as a decimal is 0.125

hence the fraction multiplication in the question was incorrect

To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

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We can see that lines AB and CD intersect at pοint P, and they are nοt perpendicular. Therefοre, sentence D is true.

The Cartesian plane, alsο knοwn as the cοοrdinate plane, is a twο-dimensiοnal plane used tο represent pοints, lines, and shapes in geοmetry.

Tο determine which sentence abοut the pοints is true, we can plοt the pοints and examine their relatiοnships visually.

The plοt shοws that the pοints A, B, C, and D dο nοt lie οn the same line. Therefοre, sentence A is false.

We can alsο οbserve that nοne οf the pairs οf lines fοrmed by the pοints are perpendicular. Therefοre, sentence B is false.

Similarly, nοne οf the pairs οf lines are parallel. Therefοre, sentence C is false.

We can see that lines AB and CD intersect at pοint P, and they are nοt perpendicular. Therefοre, sentence D is true.

Finally, lines BC and AD are parallel tο each οther, and they dο nοt intersect. Therefοre, sentence E is false.

Hence, the cοrrect answer is D.

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1. Possible inputs:

The values of the dice. Can be 1,2,3,4,5,6

2. Outputs

Values in which you don't move on the map. 2,5,6,11,14,15...

On the others, there will be a move operation. So you will have to move until you fall on a dot in which there is no move command.

Answer:

\(y +5 = -\frac{2}{3}(x - 4)\)

Step-by-step explanation:

Given

\(y = -\frac{2}{3}x + 8\)

Point (4,-5)

Required

Determine the line equation

From the question, we understand that the line is parallel to \(y = -\frac{2}{3}x + 8\)

This implies that they have the same slope, m

A linear equation is:

\(y = mx + b\)

Where

\(m = slope\)

By comparison: \(y = mx + b\) and \(y = -\frac{2}{3}x + 8\)

\(m = -\frac{2}{3}\)

Next, we determine the line equation using:

\(y - y_1 = m(x - x_1)\)

Where

\((x_1,y_1) = (4,-5)\) and \(m = -\frac{2}{3}\)

\(y - (-5) = -\frac{2}{3}(x - 4)\)

\(y +5 = -\frac{2}{3}(x - 4)\)

Hence,

Option C is correct