6. m Find x
(2x + 3)
(5x − 24)°

The income plainness of demand for eatery reflections is Income plainness = 200/ 20 = 10

Chance is a way of expressing a volume as a bit of 100. It's frequently denoted using the percent symbol(), which represents" per hundred". For illustration, 25 is original to25/100 or0.25 as a numeric.

By question-

The income plainness of demand measures the responsiveness of the volume demanded of a good or service to a change in income, all other effects being equal .However, it means that the good is a normal good, and the volume demanded increases as income increases, If the income plainness is positive. However, it means that the good is an inferior good, and the volume demanded diminishments as income increases, If the income plainness is negative.

In this case, John's pay increased by 20 percent, and the average number of eatery reflections he consumed increased from one a week to three a week. We can calculate the income plainness of demand for eatery reflections as follows

Income plainness = chance change in volume demanded/ chance change in income

The chance change in volume demanded is

( 3 reflections per week- 1 mess per week)/ 1 mess per week) x 100 = 200

The chance change in income is 20

thus, the income plainness of demand for eatery reflections is

Income plainness = 200/ 20 = 10

Since the income plainness is positive and lesser than 1, we can conclude that eatery reflections are a luxury good for John. Option( b) is the correct answer.

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3 kilograms a 2 liter jug of sports drink would weigh .

Let us assume that the  weigh of a 2 liter jug of sports drink  be x .

As given Maddy is carrying a 5 liter jug of sports drink that weighs 7.5 kg.

She have a 2 liter jug of sports drink .

Than 5 liter = 7.5 kg.

1 litre = 7.5/5 kg

Now for the 2 liter jug of sports drink  .

Than equation becomes

w= 2×7.5/5

w/2 =7.5/5

w=3 kg

Hence,  3 kilograms a 2 liter jug of sports drink would weigh .

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Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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Step-by-step explanation:

$38.25/$4.25 ×1hr

9hrs

Answer:

5

Step-by-step explanation:

we take the 5 behind the four and it rounds up to a 5

4.5=5

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

5:5

5/10=1/2

Step-by-step explanation:

5/10 = are full

10-5= 5 empty tables

The present reading on the man's electricity bill is 3625kWh.

To calculate the present reading, we need to add the previous reading to the amount of electricity used in the current month  To find the present reading on the man's electricity bill, we need to add the electricity used during the month (117kWh) to the previous reading (3508kWh).

Step 1: Identify the previous reading and the electricity used during the month.
Previous reading: 3508kWh
Electricity used in a month: 117kWh

Step 2: Add the electricity used during the month to the previous reading.
Present reading = Previous reading + Electricity used in a month
Present reading = 3508kWh + 117kWh

Step 3: Calculate the present reading.

Previous reading = 3508kWh
Electricity used in current month = 117kWh
Present reading = Previous reading + Electricity used in current month
Present reading = 3508kWh + 117kWh
Present reading = 3625kWh

The present reading on the man's electricity bill is 3625kWh.

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Given a function \(\(f(x)\)\) as shown in the figure and another function

\(\(A(x)=\int_{n}^{x} f(t) d t\)\)We need to find: A local minimum of function

\(\(A(x)\) on \((0,6)\)\)The local maximum of function\(\(A(x)\) on \((0,6)\\))We need to find the derivative of the function \(A(x)\) to find the local minimum and local maximum on the interval\(\((0,6)\).\)

So,\(\(A(x)=\int_{n}^{x} f(t) d t\)\)Differentiating both sides with respect to

\(\(x\) \[\frac{d}{dx}(A(x))\)

=\(\frac{d}{dx}\left(\int_{n}^{x} f(t) d t\right)\\)]Applying the fundamental theorem of calculus

\(\[\frac{d}{dx}(A(x))\)

\(=f(x)\]\)So, we have

\(\[A'(x)=f(x)\]\)To find the local minimum and local maximum of the function, we need to check for the critical points on the interval\(\((0,6)\)\)Let's find the critical points:\(\(A'(x)=f(x)\)\)Critical points are obtained when

\(\(A'(x)=f(x)\)

\(=0\)\)

On the interval\(\((0,6)\)\), we can see that the function has two critical points; one at \(\(x=1\)\)and the other at

\(\(x=3\)\)Note that

\(\(f(x)=0\)\) at

\(\(x=1\)\)and

\(\(x=3\)\)From the given figure we can see that the graph is negative between

\(\(x=0\)\) to

\(\(x=1\)\), positive between

\(\(x=1\)\) to

\(\(x=3\)\) and negative between

\(\(x=3\)\) to

\(\(x=6\)\)Since the function changes its sign at the critical points, we can say that \(\(x=1\)\) is a local minimum and

\(\(x=3\)\) is a local maximum of the function\(\(A(x)\)\) on the interval

\(\((0,6)\)\)Therefore, the local minimum of the function on\(\((0,6)\)\) is at \(\(x=1\)\)The local maximum of the function on\(\((0,6)\)\) is at

\(\(x=3\).\)

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If it takes 48 days for patch to cover entire lake, then it will take (a) 47 days to cover the half of lake.

The patch of Lilypad doubles in size every day, so, we use the exponential growth to represent its size.

Let the initial size of patch be = "P" and

Let the final size of the patch (when it covers the entire lake) be = "L",

So, we have , L = 2⁴⁸ × P,

We have to find out how long it takes for patch to cover half of lake.

Let the size of patch at that point be = "H", where "H" is half the size of L,

Which is written as : H = L/2 = 2⁴⁷ × P,          ...equation(1)

Let the number of days to cover half lake be = "d",

So, we write equation to solve for the number of days it takes for the patch to reach size "H",

⇒ H = \(2^{d}\) × P,

Substituting the value of "H" from equation(1),

We get,

⇒ 2⁴⁷ × P = \(2^{d}\) × P,

Simplifying further,

We get,

⇒ 2⁴⁷ = \(2^{d}\),

Since, the base is same, we can equate the power,

We get,

⇒ d = 47,

Therefore, it takes 47 days for the patch to cover half the lake, Correct option is (a).

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The given question is incomplete, the complete question is

In a lake, there is a patch of Lilypad. Every day, the patch doubles in size, if it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half the lake?

(a) 47 days

(b) 24 days

(c) 12 days

(d) 36 days

Answer: El dominio es el conjunto de números reales. En forma de intervalo, el dominio de f es (−∞, ∞). Identifica los valores de entrada. / The domain is the set of real numbers. In interval form, the domain of f is (−∞,∞). Identify the input values.

Step-by-step explanation: Used my sheet.

The cost of one pair of jeans and one t-shirt is the same for both Maria and Joan.

To determine the cost of one pair of jeans and one t-shirt, we need to first calculate the total cost of Maria's purchase. The cost of 3 pair of jeans is 3 times the cost of one pair of jeans. Similarly, the cost of 5 t-shirts is 5 times the cost of one t-shirt.

We then add the cost of the jeans and the cost of the t-shirts together to get the total cost of Maria's purchase. We do the same for Joan's purchase- calculate the cost of 4 pairs of jeans and 10 t-shirts, and add them together.

Since the cost of one pair of jeans and one t-shirt is the same for both Maria and Joan, we can subtract the total cost of Maria's purchase from the total cost of Joan's purchase and be left with the cost of one pair of jeans and one t-shirt.

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Answer:

  50%

Step-by-step explanation:

You want the probability of rolling a divisor of 45 on a 6-sided die.

The probability is the ratio of outcomes of interest to the total number of possible outcomes, assuming they are equally likely.

The numbers on a die that are divisors of 45 are 1, 3, 5, which are 3 of the 6 possible outcomes.

  P(divisor of 45) = 3/6 = 1/2 = 0.50 = 50%

The probability of rolling a divisor of 45 is 50%.

__

Additional comment

This problem statement asks for the answer as a percentage. It can also be written as a fraction (1/2) or a decimal (0.50).

The divisors of 45 are 1, 3, 5, 9, 15, 45.

<95141404393>

The numerical length of RS is 16.

Given, Point R is on line segment QS.

A line segment in geometry has two different points on it that define its boundaries. A stretch of a line that connects two locations is frequently referred to as a line segment. A line has no ends and can continue indefinitely in either direction, which is how it differs from a line segment.

QR = 4 , QS = 4x and RS  = 5x ₋ 9

we know that,  QS ₊ RS = QR

⇒ RS = QR ₋ QS

⇒ 5x ₋ 9 = 4x ₋ 4

unknown items move to the left of the equal sign and known items move to the right of the equal sign.

5x ₋ 4x = 9 ₋ 4

x = 5

therefore, RS = 5x ₋ 9

= 5(5) ₋ 9

= 25 ₋ 9

= 16

hence we get the length of RS as 16.

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Answer:

the 3rd option

Step-by-step explanation:

When you look at the problem s you can see that when you divide 9 by 9 your not going to get anywhere then you should probably divide by this because it makes more sense

Answer:

neuma should have only divided 9 by 9

because \(\frac{9}{54}:9=\frac{9}{54}.\frac{1}{9}=\frac{1}{54}.\frac{9}{9}=\frac{1}{54}\)

Step-by-step explanation:

The given function f(x) = 25e^(-2x) represent the exponential decay.

According to th egiven question.

We have an exponential function.

f(x) = 25e^(-2x)

As we know that

If \(P = P_{o} e^{-kt}\) be an exponential function, then it will represent

Where,

P is the final amount

\(P_{o}\) is the intial amount

t is the time interval

k is the constant of proportionality

For the given question if we compare the given exponential function with the standard exponentential function we get

\(P_{o}\) = 25

k = 2

and t = x

Now,

e^(-2) = 0.13

Since, e^(-2) < 1.

Hence, the given function f(x) = 25e^(-2x) represent the exponential decay.

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x = 36 Answer

By Pythagoras Theorem

The student went from x+y = 2 to 2x+2y = 2, which is not correct. They multiplied the left side by 2, but forgot about the right hand side.

They should have gone from x+y = 2 to 2x+2y = 4 after multiplying both sides by 2.

So they should have this new equivalent system

\(\begin{cases}3x-2y = 8\\2x+2y = 4\end{cases}\)

Add straight down and we end up with the new equation 5x = 12 which solves to x = 12/5 = 2.4

Use that x value to solve for y. You should get y = -2/5 = -0.4

Answer:

  no, the vertex of Function A is 6 units lower

Step-by-step explanation:

The vertex of Function A can be found several ways:

__

To put the equation in vertex form, we can consider separately the variabel terms and the constant. Once we have the variable terms separated, we can "complete the square" and then simplify the result to vertex form. The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . for vertical scale factor 'a' and vertex (h, k)

We have ...

  y = 2x² +12x +10

  y = 2(x² +6x) +10

We complete the square by adding the square of half the x-coefficient inside parentheses. We subtract the same quantity outside parentheses, so we don't change the equation any.

  y = 2(x² +6x +9) +10 -2(9)

  y = 2(x +3)² -8 . . . . . . simplify to vertex form

The vertex of Function A is (-3, -8), which is (-2 -(-8)) = 6 units lower than the vertex of Function B in the graph. Bob is incorrect.

__

The axis of symmetry of quadratic expression ax² +bx +c is x=-b/(2a). For the given Function A, the axis of symmetry is ...

  x = -12/(2(2)) = -3

The height of the vertex is the y-value for that x-value:

  y = 2(-3)² +12(-3) +10 = 18 -36 +10 = -8

This is lower than the vertex of the graphed function, which is at y=-2. Bob is incorrect.

__

The graph of Function A is the solid red curve in the attached. The graph of Function B is added as the dashed blue curve for reference. The graph clearly shows the vertex of Function A is lower than that of Function B. Bob is incorrect.

_____

Additional comment

Modern graphing calculators make the graphing option the quickest and easiest way to find the vertex of the function. The only "work" is to type the equation into the calculator.

Answer:

AA only

Step-by-step explanation:

A= Angle

S= Side

Both triangles only have 2 angles so it's AA (angle angle)

To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

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Explanation:

An estuary is where a river pours into the ocean. So that means fresh water mixes with salt water here. This allows us to rule out choices A and B.

According to NOAA, their site says "Estuaries are one of the most productive ecosystems in the world, so there is a great diversity of animals and plants that live there". In other words, a lot of plants and animals live here, so we can rule out choice C.

Choice D is the answer because tides do affect estuaries. This is simply because the ocean is pretty much right next to it, or attached to it. So it's expected that a high tide would cause the water level in an estuary to increase.

Answer:

it is affected by tides that's the conclusion I have come to

Tutor answer 1603981404

Answer:

it would be A-28.66

Step-by-step explanation:

just divide the total bill by the number of months.

Answer:

The apple question is b and the bill question is a

Step-by-step explanation:

for the apple question you multiply 1.89 by 2.4 and round to the nearest 10th

for the bill question you divide 85.98 by 3 which gives you 28.66

Answer: 60

Step-by-step explanation:

Find the total number of students.

In this case, there are 8 total students. Multiply 60 * 8 = 480

Add all the numbers up.

85 + 65 + 36 + 48 + 75 + 39 + 72 = 420

480 - 420 = 60

x = 60

Answer:

Angle 8

Step-by-step explanation:

consider the following image

Answer:

Step-by-step explanation:

The angles in matching corners are called Corresponding Angles.

The angle that corresponds with ∠4 is ∠8 as both of them are on the bottom right corner.

The recurrence interval for the second largest flood on the Bow River in 1932 is approximately 1.0106 years. The probability of a flood with a discharge of 1,520 m3/s occurring next year is roughly 98.95%. When examining the 100-year trend of peak discharges, excluding major floods, there is likely a general pattern of fluctuations but with overall stability in typical peak discharge values.

Using the provided data on the highest discharge per year on the Bow River at Calgary, Canada, we can calculate the recurrence interval (R) for specific flood magnitudes and determine the probability of such floods occurring in the future. Additionally, we can examine the 100-year trend for floods on the Bow River, excluding major floods, to identify the general trend of peak discharges over time.

1) Calculating the Recurrence Interval for the Second Largest Flood (1,520 m3/s in 1932):

To calculate the recurrence interval (R) for the second largest flood, we need to determine the rank of that flood. Since there are 95 data points in total, the rank of the second largest flood would be 94 (as the largest flood, in 2013, is excluded). Applying the formula R = (n + 1) / r, we have:

R = (95 + 1) / 94 = 1.0106 years

Therefore, the recurrence interval for the second largest flood (1,520 m3/s in 1932) is approximately 1.0106 years.

2) Probability of a Flood of 1,520 m3/s Occurring Next Year:

The probability of a flood of 1,520 m3/s happening next year can be calculated by taking the reciprocal of the recurrence interval for that flood. Using the previously calculated recurrence interval of 1.0106 years, we can determine the probability:

Probability = 1 / R = 1 / 1.0106 = 0.9895 or 98.95%

Thus, the probability of a flood of 1,520 m3/s occurring next year is approximately 98.95%.

3) Examination of the 100-Year Trend for Floods on the Bow River:

To analyze the 100-year trend for floods on the Bow River while excluding major floods, we focus on the peak discharges over time. Without considering the labeled major floods, we can observe the general trend of peak discharges.

Unfortunately, without specific data on the peak discharges for each year, we cannot provide a detailed analysis of the 100-year trend. However, by excluding major floods, it is likely that the general trend of peak discharges over time would show fluctuations and variations but with a relatively stable pattern. This implies that while individual flood events may vary, there might be an underlying consistency in terms of typical peak discharges over the 100-year period.

In summary, the recurrence interval for the second largest flood on the Bow River in 1932 is approximately 1.0106 years. The probability of a flood with a discharge of 1,520 m3/s occurring next year is roughly 98.95%. When examining the 100-year trend of peak discharges, excluding major floods, there is likely a general pattern of fluctuations but with overall stability in typical peak discharge values.

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Answer:

Step-by-step explanation:

From the picture attached,

9). When pre-image KLMN is a reflected across x = -2, we get image K'L'M'N'.

    Therefore, line of reflection will be x = -2

10). In this picture line of reflection which passes through origin (0, 0) and slope = 1 will be,

y = x.

11). Since, all the points of image and preimage points are equidistant from x-axis, line of reflection will be x-axis or y = 0.

12). Line passing through midpoint of the line joining BB' will be the line of reflection.

Coordinates of B → (5, 3)

Coordinates of B' → (5, 7)

Coordinates of BB' → \((\frac{5+5}{2},\frac{3+7}{2})\) → (5, 5)

Therefore, line of reflection will be y = 5.

13). Coordinates of G → (2, 5)

     Coordinates of G' → (-2, 5)

     Midpoint joining the segment GG' → \((\frac{2-2}{2},\frac{5+5}{2})\) → (0, 5)

     Therefore, line of reflection → x = 0

14). Line of reflection passing through (0, 0) and slope = -1

     y = -x

x = 12.

Perpendicular lines are lines that intersect at a 90-degree angle. So, for example, line ST is perpendicular to line CD. So line ST is perpendicular to line CD.

Perpendicular lines always intersect each other, however, all intersecting lines are not always perpendicular to each other. The two main properties of perpendicular lines are: Perpendicular lines always meet or intersect each other. The angle between any two perpendicular lines is always equal to 90.

Given that

line m and n are perpendiculars

then angle ∠a = ∠b

then

5x + 20 = 7x -4

7x -5x = 20 + 4

2x = 24

x = 24/ 2

x = 12.

Hence the value of x = 12

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