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The coordinates of R are (2,3) which represents an intersecting point of the given lines.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The lines are given in the question, as follows:

y = x+1 ...(i)

x+2y = 8  ...(ii)

Since both lines intersect at R.

Substitute the value of equation (i), in (ii), and we get

x+2(x+1) = 8

x + 2x + 2 = 8

3x = 8 - 2

3x = 6

x = 2

Substitute the value of x = 2 in equation (i),

y = 2 + 1

y = 3

Thus, the coordinates of R are (2,3).

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The question seems incomplete, the correct question would be as:

If the lines y=x+1 and x+2y=8 intersect at R, find the coordinates of R. Show this the coordinate plan.

Answer:

40 dollars.

Step-by-step explanation:

28=(.7)x

40=x

Thus, the original price was 40 dollars.

The exponential equation in the form y= a\((b)^x\) that can model is y= 500\((1.06)^x\).

In mathematics, an exponential function is a relationship of the type

y = \(a^x\), where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

Given:

Britney invested $500 in stocks.

After one year, the value of her stocks has increased to $530.

We know the Exponential Function y= a\((b)^x\)

As, a= 500, y= 530, x= 1

So, y= a\((b)^x\)

530 = 500 \((b)^1\)

530 / 500 = b

b= 1.06

So, the exponential equation is y= 500\((1.06)^x\)

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Answer:

d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

sum of any number with zero gives the same number

Answer:

Solve what?

Step-by-step explanation:

→Answer:

\(50.3cm^2\)

→Step-by-step explanation:

Well the formula for the area of a circle is \(\pi r^2\).

→Given information

Pi is 3.142

radius is 4 cm

answer must be rounded to the nearest tenth

____________________________________________________________

So now we have to plug in the given information into the following formula \(\pi r^2\).

(3.142)(4)^2

So now we have to solve this formula using PEMDAS.

So 4 squared is 16 and 16*3.142 is 50.272cm^2.

The question clearly states the given answer must be rounded into the nearest tenth so 50.272 is 50.3 cm^2.

__________________I do hope this helps!__________________________

Answer:

Pretty sure it is A

Step-by-step explanation:

Answer:

$108

Step-by-step explanation:

20x4 = 80

7x 4 = 28

80+28 = 108

Answer:

Non-Proportional

Step-by-step explanation:

Any number that HAS a y-intercept is NEVER proportional. lf it doesn't have a y-intercept IT IS. This is a simple trick i learned to help me. l hope it help's you understand to.

Answer:

∠x = 67°

Step-by-step explanation:

∠x = 67° because they both are inscribed angles of the same arc

Answer:

x = 67

Step-by-step explanation:

Angles on the circle subtended by the same arc are congruent.

x and 67° are on the circle and subtended by the same arc, then

x = 67

Answer:

The number of doughnuts left over are 8 doughnuts

Step-by-step explanation:

The information given are;

The number of doughnuts fried per batch = 20 doughnuts

The number of doughnuts contained in a pack = 13 doughnuts

The number of doughnut batches just fried = 20 batches

The number of packs filled = 44 packs

The number of packs filled with the fried = 44 packs

The number of doughnuts per pack = 13 doughnuts

The number of doughnuts in the pack = The number of packs filled with the fried × The number of doughnuts per pack

The number of doughnuts in the pack = 44 × 13 = 572 doughnuts

Given that the number of batches of doughnuts fried = X batches and the amount of left over = Y doughnuts, where each batch contains 20 doughnuts, we have;

Number of doughnuts fried = Number of batches of doughnuts fried × Number of doughnuts per batch

Number of doughnuts fried = X × 20 =20×X doughnuts

Therefore we have;

Number of doughnuts fried = The number of doughnuts in the pack + The number of doughnuts left over

Which gives;

20×X = 572 + Y where Y < 20

Checking we have multiples of 20 are 560, 580

Given that 520 is the next multiple of 20 after 572, we have;

The number of doughnuts fried = 580 and the number of left over = 580 -  572 = 8 doughnuts.

Mean absolute percentage error is used in situations where you need to compare forecasting methods for different time periods.

The most used metric for gauging forecast accuracy is mean absolute percent error. It belongs to the category of scale-independent percentage errors, which may be used to compare series on various scales.

MAPE = mean (| eᵢ |/yᵢ )*100

where eᵢ is the error term and yᵢ is the actual data at the time i.

The drawback of MAPE is that it loses definition if the actual figure for any observation in the data has a value of 0.

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Answer: Complex

Step-by-step explanation:

Answer:

I think the answer is complex number.

Step-by-step explanation:

The set of complex numbers is denoted by either of the symbols ℂ or C. Despite the historical nomenclature "imaginary", complex numbers are regarded in the mathematical sciences as just as "real" as the real numbers, and are fundamental in many aspects of the scientific description of the natural world.

Hope this helps!!

Answer:

24

Step-by-step explanation:

rhombus area formula= (diagonal×diagonal)÷2

=6×8

=48÷2

=24

\(2(4x+1)<3(2x-3)\\\\\implies 8x +2 < 6x -9\\\\\implies 8x <6x -9 -2\\\\\implies 8x -6x < -11\\\\\implies 2x<-11\\\\\implies x< -\dfrac{11}2\\\\\\\text{Interval,} ~ \left(-\infty, -\dfrac{11}2 \right)\)

Answer:

x<3.5

Step-by-step explanation:

multiply 2 with 4x and 1 to get 8x + 2 < 3(2x-3). Then multiply 3 by 2x and -3 to get 8x + 2 < 6x- 9. Then subtract -6x on both sides to get 2x + 2< -9. Next subtract 2 from -9 so x is by itself and then you get 2x < 7. Finally divide 2 on each side so you leave x byitself completely. You get x > 3.5

I hope u get it right!

^^^^^^^^^^^^^^^^^^^^^^^^^^

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THANK YOU.

$6.12

A percentage is some portion of a whole number. Multiple methods can be used to find percentages.

Multiplication to Find Percentages

One of the easiest ways to find percentages is to multiply the original number by a decimal. To do this, one first needs to turn the percentage into a decimal.

For example,

To convert a percentage to a decimal, just move the decimal point 2 places to the left.

Then, multiply this decimal by the whole number, and the answer, in this case, will be the tip.

19% of $32.20

Now, to solve we can just multiply.

The exact answer is 6.118. However, since we are using money, we are going to round to the nearest hundredth place. This gives the final answer of $6.12.

Using the given sample data from a normally distributed random variable, we can estimate the probability of the random variable taking on a value greater than 10. The answer will be provided rounded to three decimal places.

To find the probability of the random variable taking on a value greater than 10, we first need to calculate the sample mean and standard deviation of the data. The sample mean is the average of the data points, and the sample standard deviation measures the spread of the data around the mean.

Using the provided data points, we find that the sample mean is 5.8 and the sample standard deviation is 9.840.

Next, we can use these statistics to calculate the z-score for the value 10. The z-score measures how many standard deviations the value is away from the mean. Using the formula (x - mean) / standard deviation, we calculate the z-score as (10 - 5.8) / 9.840 = 0.428.

Once we have the z-score, we can find the corresponding probability using a standard normal distribution table or a calculator. The probability of the random variable taking on a value greater than 10 is equal to the area under the normal curve to the right of the z-score. Looking up the z-score of 0.428 in the standard normal distribution table, we find a probability of approximately 0.665.

Therefore, the probability of the random variable taking on a value greater than 10, based on the given sample data, is approximately 0.665.

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The weighted average cost per unit under the perpetual inventory system is $55.76.

To calculate the weighted average cost flow method under the perpetual inventory system, follow these steps:

1. Calculate the total cost of inventory on hand at the beginning of the year: 10,000 units * $75.00 = $750,000.

2. Calculate the cost of goods sold for each sale:
- For the first sale on March 18, the cost of goods sold is 8,000 units * $75.00 = $600,000.
- For the second sale on August 9, the cost of goods sold is 15,000 units * $77.50 = $1,162,500.

3. Calculate the total cost of purchases during the year:
- The purchase on May 2 is 18,000 units * $77.50 = $1,395,000.
- The purchase on October 20 is 7,000 units * $80.25 = $561,750.
- The total cost of purchases is $1,395,000 + $561,750 = $1,956,750.

4. Calculate the total number of units available for sale during the year: 10,000 units + 18,000 units + 7,000 units = 35,000 units.

5. Calculate the weighted average cost per unit: $1,956,750 ÷ 35,000 units = $55.76 per unit.

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7.051 can be written as the fraction 7051/1000.

To express 7.051 as a fraction in the form of p/q, we need to identify the decimal places and convert them to the corresponding fractional parts.

Since 7.051 has three decimal places, we multiply it by 1000 to move the decimal point three places to the right, which gives us 7051.

Now, the numerator (p) of the fraction will be 7051, and the denominator (q) will be the corresponding power of 10, which is 1000.

Therefore, 7.051 can be expressed as 7051/1000.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

In this case, the GCD of 7051 and 1000 is 1, so the fraction is already in its simplest form.

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Answer:

11x+8x^(2)+6

Step-by-step explanation:

Answer:

8x² + 11x + 6

Step-by-step explanation:

Combine like terms. Like terms have same variable with same exponent.

5x and 6x are like terms. Add the coefficient of the like terms.

(-1) & 7 are constants and add (-1) & 7.

      8x² + 5x - 1 + 6x + 7 = 8x² + 5x + 6x - 1 + 7

                                       = 8x² + 11x + 6

Answer:x7

Step-by-step explanation:

Answer:

The slope would be 4/3, found from the equation: y=4/3x-2

Step-by-step explanation:

4x-1=3y+5

Subtract the 5

4x-6=3y

Divide the 3

y=4/3x-2

Answer:

D. 8

Step-by-step explanation:

We can see the numbers from 20 (inclusive) to 45 on the plot:

20, 20, 21, 24, 25, 33, 38, 38

In total 8 ads

Correct answer choice is: D. 8

Answer:

-12

Step-by-step explanation:

because 4 will be multiplied by-3 since 4/9 was multiplied by-3 to get -4/3 and -4/3 was multiplied by-3 to get 4

Answer:

503

Step-by-step explanation:

1/2(20) × 52 - 17 = (10)(52) - 17 = 503

Answer:

5 units

Step-by-step explanation:

The area of a sector is \(A=\frac{r^2\theta}{2}\) where \(r\) is the radius and \(\theta\) is the angle formed:

\(A=\frac{r^2\theta}{2}\\\\\frac{75\pi}{16} =\frac{r^2(\frac{3\pi}{8})}{2}\\\\150\pi=16r^2(\frac{3\pi}{8})\\\\150\pi=6\pi r^2\\\\25=r^2\\\\5=r\)

Therefore, the radius of the sector is 5 units

Answer:

The value of \(x\):

\(x = -2\)

Step-by-step explanation:

Find the value of \(x\):

\(-9x + 1 = -x + 17\)

-Add both sides by \(x\):

\(-9x + 1 + x = -x + x + 17\)

\(-8x + 1 = 17\)

-Subtract both sides by \(1\):

\(-8x + 1 - 1 = 17 - 1\)

\(-8x = 16\)

Divide both sides by \(-8\):

\(\frac{-8x}{-8} = \frac{16}{-8}\)

\(x = -2\)

So, the final answer would be \(x = -2\) .

Answer:

x=−2

Step-by-step explanation:

−9x+1=−x+17

Add x to both sides.

−9x+1+x=−x+17+x

−8x+1=17

Subtract 1 from both sides.

−8x+1−1=17−1

−8x=16

Divide both sides by -8.

−8x/-8 = 16/-8

Answer:

x=−2

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : \(\dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b\)

To find, The value of a and b

Solution,

Solving LHS of the given equation,

\(\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b\)

Since,

\((a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2\)

So,

\(\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b\)

or

\(4+0=a+\sqrt 3 b\)

On comparing we get :

a = 4 and b = 0