In the decimal system, when we divide a number by 10, the rightmost digit in the number is the remainder. Divide the number 157 by 10 repeatedly. Each time, write the remainder in the last column and the quotient in the dividend column. You can stop dividing when you get a 0 in the dividend column.

To find the unit price that maximizes revenue, we need to maximize the given revenue function: \(R = 0.25(36950 - 0.02p^3)^2\). The revenue function R is dependent on the unit price p.

To maximize the revenue, we need to find the value of p that corresponds to the maximum point on the revenue curve.

To determine this, we can take the derivative of the revenue function with respect to p and set it equal to zero to find the critical points. Let's calculate the derivative:

\(dR/dp = 2 * 0.25 * (36950 - 0.02p^3) * (-0.02) * 3p^2 = -0.015 * p^2 * (36950 - 0.02p^3)\)

Setting this derivative equal to zero, we have:

\(-0.015 * p^2 * (36950 - 0.02p^3) = 0\)

Since we are interested in finding the unit price, we can solve this equation numerically using methods like graphing, Newton's method, or a calculator. The resulting value of p will be the unit price that maximizes revenue. Remember to round the answer appropriately based on the precision required.

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First, we have to find the percent that went to social issue on saturday

So, with this we can calculate the Sunday amount

399 people are expected to go to Social Issues

Answer:

On the simulation prediction you got a 10% chance

While in the experimental one the average is 42%

Answer: 3/7 (Smallest), 0.43, 7/16, 43.8% (largest)

Step-by-step explanation:

0.43

3/7 = 0.4286

43.8% = 0.438

7/16 = 0.4375

$288.00

Step-by-step explanation:

Each side of the classroom =8 yards

since it's a square, that is 8×4=32yards

Per yard=$72.00

$72.00×4

=$288

The probability that exactly 3 out of the 12 children are hyperlipidemic is approximately 26.5%.

We can use the binomial probability formula, which is:

P(x) = (nCk) * p^k * (1-p)^(n-k)

Where:
- P(x) is the probability of exactly x successes (in this case, hyperlipidemic children)
- n is the number of trials (12 children)
- k is the number of successes (3 hyperlipidemic children)
- p is the probability of success (prevalence of hyperlipidemia, which is 30% or 0.3)
- nCk is the number of combinations of n things taken k at a time (n! / [k!(n-k)!])

Using the formula, we can calculate the probability that exactly 3 out of 12 children are hyperlipidemic:

P(3) = (12C3) * 0.3^3 * (1-0.3)^(12-3)

P(3) = (12! / [3!(12-3)!]) * 0.027 * 0.7^9

P(3) ≈ 0.265

So, the probability that exactly 3 out of the 12 children are hyperlipidemic is approximately 26.5%.

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The correct statement for this sentence is;

A. If it is summertime, then we go swimming after lunch.

Summer vacation, as we know it today, has evolved over centuries and has its roots in various cultural and historical influences. The concept of taking a break from regular activities during the summer months can be traced back to ancient civilizations.

A brief history of a summer vacation

The tradition of summer vacation as we know it now has developed over many years and is influenced by a variety of historical and cultural factors. Ancient civilizations were the first to adopt the idea of taking a summer hiatus from routine pursuits.

This sentence expresses the predicate (if summer), as well as the outcome (we go swimming after lunch). It is a true representation of the original phrase.

therefore the correct option A

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Answer:

1 − 2 cos x

Step-by-step explanation:

y' = 2 sin x

y = C − 2 cos x

1 = C − 2 cos(π/2)

1 = C

y = 1 − 2 cos x

The statement is false. If f and g are continuous on [a, b], it does not imply that ∫[a to b] (f(x) × g(x)) dx = ∫[a to b] f(x) dx × ∫[a to b] g(x) dx

In general, the integral of the product of two functions, f(x) and g(x), is not equal to the product of their individual integrals.

To counter the statement, we can provide a counterexample. Consider two continuous functions, f(x) = x and g(x) = x, defined on the interval [0, 1]. The integral of their product, ∫[0 to 1] (f(x) * g(x)) dx, is equal to ∫[0 to 1] (x × x) dx = ∫[0 to 1] \(x^{2}\) dx = 1/3.

On the other hand, the individual integrals of f(x) and g(x) are ∫[0 to 1] f(x) dx = ∫[0 to 1] x dx = 1/2 and ∫[0 to 1] g(x) dx = ∫[0 to 1] x dx = 1/2, respectively. The product of these individual integrals, (1/2) × (1/2) = 1/4, is not equal to the integral of the product.

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An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

hence,sample test of means one-sample test of proportions one-sample test of variances two-sample test of means (independent samples) two-sample test of means (paired samples) two-sample test of proportions two-sample test of variances.

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Answer:

78.54

Step-by-step explanation:

Area of a circle = pi time radius power of 2

A = pi*r^2

A = 3.14 * 5^2

A = 3.14 * 25

A = 78.54

Answer:

70 km/hr

Step-by-step explanation:

You just have to add both of the average velocity as you are finding the combined average velocity of both vehicles

The nominal interest rate is determined by the interaction of various factors in the economy, including the actions and policies of the Federal Reserve (Fed). While the Fed plays a significant role in controlling the money supply, it is not the sole determinant of the nominal interest rate. Other factors such as inflation expectations, market forces, and the overall state of the economy also influence the nominal interest rate.

The Fed has the authority to control the money supply through various monetary policy tools, such as open market operations, reserve requirements, and interest rate policies. By adjusting these tools, the Fed can influence the amount of money in circulation. When the Fed increases the money supply, it generally leads to a decrease in the nominal interest rate, and vice versa.

However, the nominal interest rate is also influenced by other factors. One key factor is inflation expectations. If people expect higher inflation in the future, lenders will demand a higher nominal interest rate to compensate for the expected loss in purchasing power. Similarly, borrowers may be willing to pay a higher nominal interest rate to hedge against potential inflation.

Market forces such as supply and demand for credit, investor sentiment, and global economic conditions also affect the nominal interest rate. If there is high demand for credit or positive investor sentiment, the nominal interest rate may increase. Conversely, during periods of low demand or economic uncertainty, the nominal interest rate may decrease.

Therefore, while the Fed's actions impact the money supply, the determination of the nominal interest rate is a complex process that involves the interplay of multiple factors, including the actions of the Fed, inflation expectations, and market forces.

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Answer: x = 13

Step-by-step explanation:    the equation to solve this is:

4 × (4 + 8) = 3 × (3 + x)

so we solve the first half of that:

4 × (4 + 8)

4 × 12

48

now we have:

48 = 3 × (3 + x)

so we switch the sides to make it easier and solve

3 × (3 + x) = 48

divide both sides by 3

3 × (3 + x) ÷ 3 = 48 ÷ 3

and get

3 + x = 16

now subtract 3 from both sides

3 + x = 16

-3         -3

and finally we get

x = 13

hope this helped :)

Answer:

I found it is beside of and next to when

The Delhi metro track increased by 20% in the last two years.

The Delhi metro track increased from 200 km to 240 km in the last two years. To calculate the percentage increase, we need to find the difference between the new and old lengths, divide it by the old length, and then multiply by 100.
The difference in length is 240 km - 200 km = 40 km.
The percentage increase, we divide the difference by the old length: 40 km ÷ 200 km = 0.2.
Finally, we multiply by 100 to get the percentage: 0.2 × 100 = 20%.
Therefore, the Delhi metro track increased by 20% in the last two years.
Another way to calculate the percentage increase is by using the formula:
Percentage increase = (new value - old value) ÷ old value × 100.
In this case, the new value is 240 km and the old value is 200 km.
So, the percentage increase = (240 km - 200 km) ÷ 200 km × 100 = 40 km ÷ 200 km × 100 = 0.2 × 100 = 20%.
Therefore, the Delhi metro track increased by 20% in the last two years.

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Answer:

25y+27x

Step-by-step explanation:

You cannot factor this any further

Answer:

$752.69 + 12.5%=$753+$50=$803+ 3.35%=803.0335=

answer: c. $818.

Step-by-step explanation:

Answer:

⬇️ i got 100% on the test

Answer:

1.C

2.K

3.E

4.G

5.I

6.A

7.H

8.B

9.L

10.D

Step-by-step explanation:

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

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Answer:

Step-by-step explanation:

average velocity=distance/time= ending position−starting height ending time−starting time

The set that we must describe is composed of those which are at least 6.5. At least means that these values are either 6.5 or greater. Then if n is any element of this set it meets the following condition:

Then the answer is the first option.

\(\\ \sf\longmapsto 32.3=14.8+8.4x\)

\(\\ \sf\longmapsto 8.4x+14.8=32.3\)

\(\\ \sf\longmapsto 8.4x=32.3-14.8\)

\(\\ \sf\longmapsto 8.4x=17.5\)

\(\\ \sf\longmapsto x\approx 2.1\)

\( \bf \huge \: Question:\)

Find the value of x

\( \huge\bf \: Equation \: provided:\)

\( \sf 32.3 = 14.8 + 8.4x\)

\( \bf \huge \: Solution:\)

\( \sf \longmapsto32.3 = 14.8 + 8.4x\)

\( \bf \: Simplify \: both \: sides \: of \: the \: equation \: given : \)

\( \sf \longmapsto \: 32.3 = 8.4x + 14.8\)

\( \bf \: Overturn \: the \: equation : \)

\( \sf \longmapsto8.4x+14.8=32.3\)

\( \bf \: Subtract \: 14.8 \: from \: both \: sides : \)

\(\sf \longmapsto8.4x+14.8 -\red{ 14.8}=32.3 -\red{ 14.8}\)

\( \bf \: On\: Simplification:\)

\(\sf \longmapsto8.4x - 0 = 32.3 - 14.8\)

\(\sf \longmapsto8.4x = 17.5\)

\(\bf \: Divide \: both \: sides \: by \: 8.4\)

\(\sf \longmapsto \dfrac{8.4x}{ \red{8.4}} = \dfrac{17.5}{ \red{8.4}} \)

\( \bf \: On\: Simplification:\)

\(\sf \longmapsto \: x = 2.083333\)

\(\bf Answer\: in \: mixed \: number : \)

\(\sf \longmapsto \: x = 2.083333\)

______________________________________

\( \bf \: Henceforth,The \: Answer \: is:\)

\( \boxed{ \huge\tt \: x = 2.08 (approx)}\)

Through the SAS rule of congruence, we prove that triangles LMY and LNX are congruent.​

Congruence is the condition when both of the figures have the same size, and shape and are mirror images of each other. SAS rule of congruence states when two sides and one angle is equal to the corresponding sides of the other triangle, then the two triangles are congruent.

Now, we have triangles LMY and LNX

In these two triangles, we have :

LX = LY { equal sides of isosceles triangle }

LM = LN { given}

∠LMY =  ∠LNX {corresponding angles of the equal sides of the isosceles triangle }

Hence, triangles LMY and LNX are congruent by the SAS rule of congruence.

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Answer:

0.6,  1.2,   1.8,   2.4

1,   2,   3,   4

Step-by-step explanation:

(1, -1) is the only solution to the system of equations,

What are coordinates ?

In mathematics, coordinates are sets of numbers that specify the position of a point or an object in space or on a plane. The coordinates are usually given as ordered pairs or triples, depending on the dimension of the space.

In two-dimensional space (a plane), coordinates are typically given as ordered pairs (x, y), where x represents the horizontal position (also called the abscissa), and y represents the vertical position (also called the ordinate). The point (0, 0) is often used as a reference point, called the origin, from which all other points are measured.

In three-dimensional space, coordinates are typically given as ordered triples (x, y, z), where x, y, and z represent the horizontal, vertical, and depth positions, respectively.

According to the question:
To find the solutions to the system of equations F(x) = g(x), we can set the two expressions equal to each other and solve for x algebraically:

F(x) = g(x)

\(x^2 - 4x + 2 = -2x + 1\)

First, we can simplify this equation by moving all the terms to one side:

\(x^2 - 4x + 2 + 2x - 1 = 0\)

Simplifying further, we get:

\(x^2 - 2x + 1 = 0\)

Now we can factor the left-hand side of the equation using the quadratic formula:

\(x = (-(-2) \± \sqrt{(-2)^2 - 4(1)(1))) / (2(1))\)

\(x = (2 ± \sqrt{4 - 4)} / 2\)

\(x = (2 \± 0) / 2\)

The two solutions for x are x = 1 and x = 1. These are the x-coordinates of the two points where the graphs of F(x) and g(x) intersect.

To prove algebraically that these are the correct solutions, we can substitute each value of x into both F(x) and g(x) and verify that the resulting y-values are equal:

When x = 1:

F(1) = (1)^2 - 4(1) + 2 = -1

g(1) = -2(1) + 1 = -1

Therefore, when x = 1, F(x) and g(x) have the same value, and (1, -1) is a solution to the system of equations. Similarly, when x = 1, we get the same result:

\(F(1) = (1)^2 - 4(1) + 2 = -1\)

\(g(1) = -2(1) + 1 = -1\)

Therefore, (1, -1) is the only solution to the system of equations.

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