okay so the problem is "A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is ( ) units. the point (-7, ) lies kn this circle. I'm not sure how to find the answer.​

Answer:

a. -2 ≤ x < 4

Step-by-step explanation:

0 ≤ 3x + 6 < 18

or, 0 - 6 ≤ 3x + 6 - 6 < 18 - 6

or, -6 ≤ 3x < 12

or, -6/3 ≤ 3x/3 < 12/3

or, -2 ≤ x < 4

To find f(-6), we need to substitute -6 for x in the expression for f(x):

f(x) = 2x^2 + 5x - x/3

f(-6) = 2(-6)^2 + 5(-6) - (-6)/3

f(-6) = 2(36) - 30 + 2

f(-6) = 72 - 30 + 2

f(-6) = 44

Therefore, f(-6) = 44.

Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

Suppose that you wanted to predict the price of a house based on where the house was located (northeast, northwest, southeast, or southwest) as well as square footage, then the northwest indicator variable would be set to 1, and the other three indicator variables would be set to 0.

Indicator variable An indicator variable is a binary variable that indicates whether or not a specific condition or category is present. Indicator variables are typically used in statistical models to represent categorical data or conditions, and they are also known as dummy variables or binary variables.

Example suppose you want to conduct a statistical analysis to determine the impact of location and size on the price of a house. There are four possible locations: northeast, northwest, southeast, and southwest. We can use four indicator variables (one for each location) to represent this information.

For instance, if a house is in the northeast, the northeast indicator variable would be set to 1, while the other indicator variables would be set to 0. Similarly, if the house is in the northwest, the northwest indicator variable would be set to 1, and the other three indicator variables would be set to 0. We would use similar logic for the other two locations.

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Answer: x = -4.25

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT

Answer:

X= -\(\frac{17}{4}\) or -4.25 or -4\(\frac{1}{4}\)

Step-by-step explanation:

All the terms that DO NOT contain X are to be moved to the right side of the equation

Therefore, the rate of the boat in still water is 70 mph, and the rate of the current is 30 mph.

Let's denote the rate of the boat in still water as "b" and the rate of the current as "c."

When the boat is traveling upstream, it is going against the current, so the effective speed is reduced. The speed of the boat relative to the ground can be calculated as (b - c).

Given that it takes 5 hours to travel 200 miles upstream, we can set up the equation:

Distance = Speed * Time

200 = (b - c) * 5

Dividing both sides by 5, we get:

40 = b - c (Equation 1)

When the boat is traveling downstream, it is aided by the current, so the effective speed is increased. The speed of the boat relative to the ground can be calculated as (b + c).

Given that it takes 2 hours to travel 200 miles downstream, we can set up the equation:

200 = (b + c) * 2

Dividing both sides by 2, we get:

100 = b + c (Equation 2)

Now we have a system of equations consisting of Equation 1 and Equation 2:

40 = b - c

100 = b + c

We can solve this system of equations using any method of solving simultaneous equations, such as substitution or elimination.

Adding Equation 1 and Equation 2:

40 + 100 = (b - c) + (b + c)

140 = 2b

Dividing both sides by 2, we get:

b = 70

Substituting the value of b back into Equation 1 or Equation 2:

40 = 70 - c

Subtracting 70 from both sides:

-30 = -c

Multiplying both sides by -1, we get:

30 = c

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On solving the problem, we get 90 inches as the width of a rectangle that has a length of 72.

The parallel sides of a rectangle are equal to one another, and each of its four vertices is 90 degrees, making it a type of quadrilateral. As a result, it is also referred to as an equiangular quadrilateral. The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

As the proportion are same,

\(\frac{a}{b} = \frac{c}{d}\)

And here,

length of first rectangle, a

length of second rectangle, c

Width of first rectangle, b

Width of second rectangle, d

\(\frac{8}{10} = \frac{72}{\alpha }\)

\(\alpha = \frac{72 X 10}{8}\)

\(\alpha = 90 inches\)

Answer is 90 inches

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The expression is solved to \(2^2^x^+^y\)

Index forms are simply defined as mathematical forms that are used as representatives of variables or numbers that are too large or too small to be written.

These index forms are also referred to as scientific notation or standard forms.

Some of the rules of index forms are;

From the information given, we have that;

4ˣ ×  \(2^y\)

Put forms in like bases format, we get;

2²ˣ × \(2^y\)

Now, add the exponents, we get;

\(2^2^x^+^y\)

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The domain and the range of the graphare

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is a quadratic function

The rule of an quadratic function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

In this case, it is -2

So, the range is y > -2

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The value of y is 5/4.

To solve the ratio equation 12:3 = 5:y, we need to find the value of y.

The ratio 12:3 can be simplified by dividing both sides by their greatest common divisor (GCD), which is 3.

Dividing 12 by 3 gives us 4, and dividing 3 by 3 gives us 1. So, the simplified ratio becomes 4:1.

Now we have the equation 4:1 = 5:y. To solve for y, we can set up a proportion:

4/1 = 5/y

Cross-multiplying, we get:

4y = 5 × 1

Simplifying further:

4y = 5

To isolate y, we divide both sides of the equation by 4:

y = 5/4

Therefore, the value of y is 5/4.

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The parabola's vertex is located at (-2, 8). The parabola's graph is then depicted below.

Let a be the leading coefficient and the parabola's vertex be the point (h, k). The parabola's equation will therefore be stated as,

y = a(x - h)² + k

The parabola's equation is stated as,

y = -(x + 2)² + 8

The downward-pointing parabola is represented by the negative sign.

The vertex of the parabola is at (-2, 8), according to the equation above. The parabola's graph is then depicted below.

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Answer:

A.

Step-by-step explanation:

He already had 100 into the account so we add that, 25x is derived from the fact that x=the amount of months and 25 is the amount per a month he saves.

Judging by the given polar plots, we have

\(z = e^{i\,16\pi/12} = e^{i\,4\pi/3}\)

\(w = e^{i\,10\pi/12} = e^{i\,5\pi/6}\)

Then

\(z + w = e^{i\,4\pi/3} + e^{i\,5\pi/6} \\\\ ~~~~~~~~ = e^{i\,5\pi/6} \left(e^{i\,\pi/2} + 1\right) \\\\ ~~~~~~~~ = e^{i\,5\pi/6} (1 + i) \\\\ ~~~~~~~~ = (1 + i) w\)

Compute the modulus and argument.

\(|z + w| = |1+i| |w| = \sqrt2\)

\(\arg(z+w) = \arg(1+i) + \arg(w) = \dfrac\pi4 + \dfrac{5\pi}6 = \dfrac{13\pi}{12}\)

or equivalently, -11π/12, to ensure the argument is between -π and π. So we have

\(z + w = \sqrt2 \, e^{-i\,11\pi/12}\)

Then by de Moivre's theorem,

\((z + w)^9 = \left(\sqrt2 \, e^{-i\,11\pi/12}\right)^9 \\\\ ~~~~~~~~ = \left(\sqrt2\right)^9\,e^{-i\,99\pi/12} \\\\ ~~~~~~~~ = 2^{9/2}\,e^{-i\,\pi/4} \\\\ ~~~~~~~~ = 2^{9/2} \left(\cos\left(\dfrac\pi4\right) - i \sin\left(\dfrac\pi4\right)\right) \\\\ ~~~~~~~~ = 2^{8/2} - i\,2^{8/2} = \boxed{16 (1 - i)}\)

Answer:

The mark-up percentage is 70%

Step-by-step explanation:

Let us revise the rule of the mark-up percentage

\(M=\frac{S-P}{P}\) × 100%, where

let us use this rule to solve the question

∵ The buyer purchased leather couches in bulk, paying $750 each

∴ P = 750

∵ The stores will sell each leather couch for $1,275

∴ S = 1,275

→ Substitute them in the rule above

∴ \(M=\frac{1275-750}{750}\) × 100%

∴ \(M=\frac{525}{750}\) × 100%

∴ M = 70%

∴ The mark-up percentage is 70%

(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.

Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.

(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.

E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)

                 = 0.33

(b) Standard deviation of number of repairs per year can be calculated as,

SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)

= √ (0.5611)

= 0.749

(c) Mean of the restaurant's annual expense with service contract is,

Mean = Expected cost = $125 + ($35 × 0.33) = $136.55

Standard deviation of the restaurant's annual expense with service contract is,

SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217

Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.

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Answer:

I'm not even lying, it's none of them ;-;

btw if you want, can you give me brainliest :((

Answer:

4

Step-by-step explanation:

16^(1/2)

when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number

we are left with an order 2 root, which is a square root

\(16^\frac{1}{2}=\sqrt[2]{16}=4\)

The commutative property of multiplication is as shown x × y = y × x .

The given values of x and y are:

x = a + bi and y = c + di

By the commutative property which states that it is a binary operation in which ab=ba whenever you change the order of the operands.

Therefore,

x = a + bi and y = c + di

Now, x × y = (a + bi) × (c + di)

 = ac + adi + bci + bdi²

= ac - bd + i(ad + bc)

Now, y × x = (c+ di) × (a + bi)

 = ac + bci + adi + bdi²

= ac - bd + i(ad + bc)

Therefore,  x × y = y × x

and when ab = ba then the property is known as commutative property.

Hence commutative property of multiplication is as shown above.

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The variable that 360 represents in this context is the sample size or the number of credit card holders in the sample.

The fact that the average late fee was calculated based on the data from 360 credit card holders implies that a sample of 360 credit card holders was selected from a larger population of credit card holders, and the average late fee was calculated from this sample.

The sample size is an important variable in statistics because it affects the accuracy and precision of the estimates we make based on the sample data. In general, larger samples tend to provide more reliable estimates of population parameters, such as the population mean or the population standard deviation.

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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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We were told that the car travels 360 miles in 8 hours.

Recall that

Speed = distance/time

Speed of the car = 360/8 = 45 miles per hour

Since the speed is constant, it means that the constant speed of the car is 45 miles per hour.

Also,

Time = distance/speed

For the car to travel 168 miles,

Time = 168/45

= 3.73 hours

The time taken to cover 168 miles is 3.73 hours.

It is given in the question,

Distance = 360 miles

Time = 8 hours

We have to find the speed of the car,

We will use the formula,

Speed = Distance / Time

Speed = 360 / 8

Speed = 45 miles/hours.

Since the speed is constant,

We have to find time,

Time = Distance / Speed

Time = 168 / 45

Time = 3.73 hours.

Therefore, the time taken to cover 168 miles is 3.73 hours.

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Answer: C (-2,1)

Step-by-step explanation:

Answer: sequences 1,5,7,9,10

Step-by-step explanation:

An arithmetic sequence is defined by a sequence of numbers with a common difference between terms. Technically if x=0 in q9 we have a constant sequence, which by definition is arithmetic. However if x does not equal 0 it is not arithmetic.

Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

Answer:-6

Step-by-step explanation:

18=9x(n+8) so if "n" = -7 then -6+8 is 2, and 2x9 is 18

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Answer:

the triangular portion is 12 ft.

Step-by-step explanation:

one side is 4 feet (2+2) 3 (10-7) and then to find the hypothenuse you do a squared+ b squared = c squared. so 4 squared + 3 squared = the square root of 25.  

The square root of 25 is 5

5+4+3=12

Hope this helps you!  

Answer:

D. Their addiction to nicotine.

Explanation:

Nicotine is a type of drug which makes it tough for smokers to stop smoking and this is what makes them attracted most. The more nicotine you inhale, the better you feel - giving pleasure. Nicotine is harmful for the body and increases possibility of heart attack.

Answer:

c + 10 = 3

Step-by-step explanation:

The required answer is the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

Explanation:-

a. Economic order quantity (EOQ) is defined as the optimal quantity of inventory to be ordered each time to reduce the total annual inventory costs.

It is calculated as follows: EOQ = sqrt(2DS/H)

Where, D = Annual demand = 100 x 52 = 5200S = Order cost = $57 per order H = Annual holding cost = 0.30 x 10.75 = $3.23 per bag per year .Therefore, EOQ = sqrt(2 x 5200 x 57 / 3.23) = 234 bags. The average time between orders (TBO) can be calculated using the formula: TBO = EOQ / D = 234 / 100 = 2.34 weeks ≈ 2 weeks (rounded to nearest whole number).

Hence, the EOQ is 234 bags and the average time between orders is 2 weeks (approx).b. R is the reorder point, which is the inventory level at which an order should be placed to avoid a stockout.

It can be calculated using the formula:R = dL + zσL

Where,d = Demand per day = 100 / 5 = 20L = Lead time = 1 week (5 working days) = 5 day

z = z-value for 92% cycle-service level = 1.75 (from standard normal table)σL = Standard deviation of lead time demand = σ / sqrt(L) = 16 / sqrt(5) = 7.14 (approx)

Therefore,R = 20 x 5 + 1.75 x 7.14 = 119.2 ≈ 120 bags

Hence, the reorder point R should be 120 bags.c. An inventory withdraw of 10 bags was just made. Is it time to reorder?The current inventory level is 310 bags, which is greater than the reorder point of 120 bags. Since there are no open orders or backorders, it is not time to reorder.d. The store currently uses a lot size of 500 bags (i.e., Q = 500).What is the annual holding cost of this policy.

Annual ordering cost. Without calculating the EOQ, how can you conclude the lot size is too large?Annual ordering cost = (D / Q) x S = (5200 / 500) x 57 = $592.80 per year.

Annual holding cost = Q / 2 x H = 500 / 2 x 0.30 x 10.75 = $806.25 per year. Total annual inventory cost = Annual ordering cost + Annual holding cost= $592.80 + $806.25 = $1,399.05Without calculating the EOQ, we can conclude that the lot size is too large if the annual holding cost exceeds the annual ordering cost.

In this case, the annual holding cost of $806.25 is greater than the annual ordering cost of $592.80, indicating that the lot size of 500 bags is too large.e.

The annual cost saved by shifting from the 500-bag lot size to the EOQ can be calculated as follows:Total cost at Q = 500 bags = $1,399.05Total cost at Q = EOQ = Annual ordering cost + Annual holding cost= (D / EOQ) x S + EOQ / 2 x H= (5200 / 234) x 57 + 234 / 2 x 0.30 x 10.75= $245.45 + $93.68= $339.13

Annual cost saved = Total cost at Q = 500 bags - Total cost at Q = EOQ= $1,399.05 - $339.13= $1,059.92

Hence, the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

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