What is the slope of a line perpendicular to the line is question is 3x-3y=54? fully reduce your answer. (it’s not 1)

Answer:

It simply is the product between 8 and 1.8 so 14.4, as anything added to himself n times is equal to the product between the number and n.

In fractions:

1.8 = 18/10 = 9/5

8·(9/5) = 72/5

If we add 1.8 for 8 times we will get the resulted value in decimal form as 14.4.

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

It is given that we have to add 1.8 for 8 times. We know that if a number is added n number of times that meant we to multiply that number by n.

Here , addition of 1.8 for 8 times will be equal to product of 8 and 1.8.

As required we have to express the result in decimal form. So,

Addition of 1.8 for 8 times is :

1.8 + 1.8 + 1.8 + 1.8 + 1.8 + 1.8 + 1.8 + 1.8

= 14.4

Let's check if this is equal to product of 8 and 1.8 which is :

= 1.8 × 8

= 14.4

So , the result is 14.4.

Therefore , if we add 1.8 for 8 times we will get the resulted value in decimal form as 14.4.

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Answer:

1/2

Step-by-step explanation:

Answer:

8:12:3

Step-by-step explanation:

Flats:Terraced is 2:3

Detached:Terraced is 1:4

First make the Terraced the same.

Flats:Terraced is 8:12

Detached:Terraced is 3:12

Terraced:Detached is 12:3

Now that we know, we can combine it.

Flats:Terraced:Detached is 8:12:3

Hope this helps :D

The relative frequency of music downloads that were regional, either tropic or urban, were not urban are 42%,16% and 89% respectively.

Relative frequency is a statistical concept that refers to the proportion or percentage of times a particular event or category occurs in relation to the total number of events or categories. It is calculated by dividing the frequency of the event or category by the total number of events or categories

(a) The relative frequency of music downloads that were regional is:

230/550 = 0.42 or 42%

(b) The relative frequency of music downloads that were either tropical or urban is:

(80+10)/550 = 0.16 or 16%

(c) The relative frequency of music downloads that were not urban is:

(230+170+80)/550 = 0.89 or 89%

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A current asset is an asset that can reasonably be expected to be sold, consumed, or exhausted through the normal operations of a business within the current fiscal year

Your information is incomplete. Therefore, an overview of the current asset will be given. Current assets are those that you can convert into cash within one year, such as short-term investments and accounts receivable.

Current assets include cash, cash equivalents, accounts receivable, stock inventory, marketable securities, pre-paid liabilities, and other liquid assets.

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None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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\( - 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x\)

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꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

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\( - 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x \)

Answer ⟶ - 6x² - 15x

The Venn Diagram for these given sets is graphed at the end of the answer.

A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.

For this problem, we have that:

The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.

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Answer:

Step-by-step explanation:

The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.

To determine the time interval of the water in the pool the following is carried out.

At 0 hour, the water is at the level of = 40 gallons

At 1 hour, the water decreased to = 25 gallons.

At 2 hours, the water decreased to = 10 gallons.

The water remained at a constant level till 4 hours.

Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.

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Answer:

5/8 or 62.5 percent

Step-by-step explanation:

Answer:

-84+(-11)= -95

-84 + (-11) = -84 - 11 = -95

By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.

Answer:

x = 4

y = 3

Step-by-step explanation:

4x-3y=7

x=13-3y

Put x as 13-3y in the first equation.

4(13-3y) - 3y= 7

52 -12y - 3y = 7

-15y = 7 - 52

-15y = -45

y = 3

Put y as 3 in the second equation.

x = 13-3(3)

x = 13-9

x = 4

Answer:

x = 4, y = 3

Step-by-step explanation:

4x-3y = 7

Putting x = 13-3y in the above equation

=> 4(13-3y)-3y = 7

=> 52-12y-3y = 7

=> 52-7 = 15y

=> 45 = 15y

=> y = 3

Now, x

=> x = 13-3y

=> x = 13-3(3)

=> x = 13-9

=> x = 4

Answer:

Slope is the change in y over the change in x.  Just subtract and simplify the fraction.

Step-by-step explanation:

(-3 - 4)

______

(-2 - 6)

Answer: For the problem \(-3x+2y=4\), the answer is (look below)

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

Y= \(2+\frac{3x}{2}\)

Add \(3x\) to both sides of the equation. 2y = 4 + 3x

Divide each term in 2y = 4 + 3x by 2 and simplify.

For the problem \(5x-3y=1\), the answer is look below)

X= \(\frac{1}{5} +\frac{3y}{5}\)

Y= \(-\frac{1}{3} +\frac{5x}{3}\)

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

Move all terms that don't contain y to the right side and solve.

Answer:

The center of the circle represented by given equation is (−1,3) and its radius is 3.

Explanation:

An equation of the form (x−h)2+(y−k)2=r2, is the equation of a circle of radius r, with a center at (h,k).

Hence as the equation

(x+1)2+(y−3)2=9

⇔(x−(−1))2+(y−3)2=9=32

and hence the center of the circle represented by this equation is (−1,3) and radius is 3.

Answer: just took the test, this is wrong

Step-by-step explanation:

Answer:

a) Time in terms of AM or PM: Binary, qualitative and nominal (binary attributes are considered nominal)

b) Brightness as measured by a light meter: Ratio, quantitative and continuous.

c) Brightness as measured by people's judgments: Discrete, qualitative and ordinal (assuming they're chosen discretely)

d) Angles as measured in degrees between 0 and 360: Ratio, quantitative and continuous.

e) Bronze, Silver, and Gold medals as awarded at the Olympics: Qualitative, discrete and ordinal.

f) Height above sea level: Quantitative, continuous, ratio/interval (depending if it's seen as an arbitrary origin).

If v varies with t², then equation is,

Here, k is constant.

Substitute 6 for v and 8 for t in the equation to determine the value of constant k.

The value of constant k is 6/64. So equation for v is,

Given:

a.) Acme Movers charges $245 plus $30 per hour.

b.) Hank's Movers charges $65 per hour.

First, let's generate the equation that represents the different price offers.

Let,

x = the number of hours of service

y = total cost

a.) Acme Movers charges $245 plus $30 per hour.

b.) Hank's Movers charges $65 per hour.

Next, let's determine x (the number of hours) where the price of the two will be the same.

Applying the Substitution Method, substitute equation b to equation a.

y = 245 + 30x

65x = 245 + 30x

65x - 30x = 245

35x = 245

35x/35 = 245/35

x = 7

The cost of the two service providers will be the same in a 7 hours service.

Let's now determine at

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

10/14 = ? ... 12/14 = ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{1}{3} * \frac{5}{3} = \frac{1 * 5}{3*3} = \frac{5}{9}\)

The answer is 5/9 as you can see. 5/9 = 20 inches each.

1 yard = 36 inches

(5/9 * 36)  = 5 * 4 = 20 inches.

Answer:

5/9

Step-by-step explanation:

I have a trick id like to teach here. Whenever you have a fraction being divided by a whole number, you can multiply the denominator by the diviser

So what I did was multiply the 3 by the diviser(3) and got 9

This left me with 5/9

The value of m∠Q as shown in the right-angled triangle below is 62.59°.

The Formula used is:

m∠Q = cos⁻¹(s/r)........................ (1)

Where:

s = 29 m

r = 63 m

Now, Substitute these values into equation 1

m∠Q = cos⁻¹(29/63)

m∠Q = cos⁻¹(0.46)

m∠Q = 62.59°

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The given expression is

Using the reciprocal, we get

Hence the answer is

We can estimate the square root to be between 23 and 24 by hand, and using a calculator we can see that the exact value is 23.388

Let's solve this without using a calculator.

To check this, we can just take integer numbers and square them and see which one gives an outcome equal to or closer to 547.

For example, if we start with 20 we get:

20*20 = 400

Let's go higher, if we take 23:

23*23 = 529

The next one is 24:

24*24 = 576

Then we can estimate:

√529 < √547 < √576

23 < √547 < 24

So our number is between 23 and 24, now using a calculator we can get the exact value:

√547 = 23.388

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Answer:

Yea it’s only 4

Answer:

\(p_{20} = 1.25528\)

P₀ = 206 and difference d = 6

Step-by-step explanation:

Step(i):-

Given that the arithmetic sequence

                 206,212,218,224,.....

P₀ = 206 and difference d = 212-206 = 6

The \(n^{th}\) term of the sequence

   \(t_{n} = ar^{n-1}\)

Step(ii):-

The \(n^{th}\) term of the sequence

   \(P_{n} = ar^{n-1}\)

Put n=20

\(P_{20} = 206 ( 6) ^{20-1}\)

\(p_{20} = 1.25528\)

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

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Answer: b and c because of the asasability numeral