Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches

After comparing the two sets, we find that 6 and 12 are the common elements of A and B. Therefore, the intersection of A and B is {6, 12}.

The set A is the set of multiples of 3 between 1 and 15 inclusive which are 3, 6, 9, 12, and 15.  The set B is the set of even natural numbers up to and including 20. The set B is {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}.To find A ∩ B, we must determine the elements that A and B have in common. The common elements of A and B are 6 and 12. Thus, the intersection of A and B, A ∩ B, is {6, 12}. To find the intersection of sets A and B, we look for the common elements in the two sets. The set A is the set of multiples of 3 between 1 and 15, while the set B is the set of even natural numbers up to and including 20.

Therefore, we have A = {3, 6, 9, 12, 15} and B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}. The intersection of the two sets A and B is the set of elements they share in common. Therefore, we have to look for elements that appear in both sets. After comparing the two sets, we find that 6 and 12 are the common elements of A and B. Therefore, the intersection of A and B is {6, 12}.

To know more about intersection visit:-

https://brainly.com/question/12089275

#SPJ11

Answer:

No. It is not possible to construct a triangle with lengths of its sides 4cm, 5cm and 9cm because the sum of two sides is not greater than the third side:

5 + 4 is not greater than 9.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

Read more about right triangle here:https://brainly.com/question/2920412

#SPJ1

Answer:

0.259

Step-by-step explanation:

There are some rules in determining what numbers are significant figures.

We can determine how many significant figures the number currently has.

There are currently seven significant figures. In order to round the number to three significant figures, we must round it to the thousandths place, or the 9.

The rounding rules are:

Since 0 is less than 5, the number rounded to 3 significant figures is 0.259.

The efficiency of the pump (in %) is 0.35%. Hence, option (c) is correct.

Efficiency of the pump:

According to the question, a centrifugal pump with a performance curve is given. For H, the performance curve is given as,

H = 340 - 1.2(Q²) in feetAnd for BP, the performance curve is given as,

BP = 0.0521(Q³) + 1.25(Q²) + 11.042(Q) + 134.5 in horsepower (HP)

Where Q is the flow rate in ft³/s.

We have to find the efficiency of the pump which can deliver 8 ft³/s.

The specific weight of water is given as 62.4 lbf/ft³.

Efficiency of the pump,η = (output power/input power)

Where input power = power supplied to the

pump = g × Q × H × w

Where g is acceleration due to gravity, w is the specific weight of the water.

Given, g = 32.2 ft/s², w = 62.4 lbf/ft³ = 32.2 × 62.4 = 2009.28 lbf/ft³'

Using the performance curves,

H = 340 - 1.2(Q²)BP = 0.0521(Q³) + 1.25(Q²) + 11.042(Q) + 134.5

Substituting Q = 8 ft³/s, we get

H = 304 ftBP = 77.87 HP Power supplied to the pump = g × Q × H × w

= 32.2 × 8 × 304 × 2009.28

= 16.57 × 10^6 ft-lbf/s

Output power of the

pump = BP × 746

= 77.87 × 746

= 58.17 × 10^3 ft-lbf/s

Efficiency of the pump,η = (output power/input power)η

= (58.17 × 10³)/(16.57 × 10^6)η

= 0.003509

= 0.3509%.

To know more about efficiency visit:-

https://brainly.com/question/30861596

#SPJ11

Step-by-step explanation:

⎡02413524−6⎦⎥⎥⎤ and B=⎣⎢⎢⎡−10021030−1⎦⎥⎥⎤

∴4A=⎣⎢⎢⎡081641220816−24⎦⎥⎥⎤ and 6B=⎣⎢⎢⎡−600126080−6⎦⎥⎥⎤ 

⇒4A−6B=⎣⎢⎢⎡0−(−6)8−016−04

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

To know more about quantity here

https://brainly.com/question/14581760

#SPJ4

Answer:

\557

Step-by-step explanation:

A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

Learn more about price ceiling at:

https://brainly.com/question/2562066

#SPJ11

Answer:

see below

Step-by-steK and P are real numbers and K is called the coefficient first find the power of the providers function is even or odd the functions power is for which is even then find the constant coefficient is negative or positive functions constant is -5 which is negative

The price bid will be increased by 23% over the cost, according to the question.

What do you mean by percentage?

A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.

According to data in the given question,

We have given data:

Cost on the product you make is $112 per unit.

Bid amount $138 per unit,

Cost over the bid= $138-$112 = $26

Now, we need to determine the Percentage increase,

Percentage increase\(= \frac{26}{112}*100 \\\)

= 23%

Therefore, the price bid will be increased by 23% over the cost.

To learn more about percentage, visit:

https://brainly.com/question/14979505?referrer=searchResults

#SPJ4

Answer:

m∠D = 109

Step-by-step explanation:

This is a parallelogram.

In parallelograms, the opposite interior angles are congruent, so we can write the following equation to find, first value x the measure of m∠D:

9x - 44 = 6x + 7

9x - 6x = 7 + 44

3x = 51

x = 17

Now we can calculate measure of m∠D:

m∠D = 9x - 44

9×17 + 44 = 109

The addition equation to represent Jackson's net change in money is x + (-y) = 4.63

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.

WE need to Write an addition equation to represent Jackson's net change in money.

Given that :

The change received = 4.63

The Net change in money :

Let initial amount before purchase is represented by  x

The Cost of item purchased = y (negative as it is incurred)

The Net change in money:

Initial amount + cost of item purchased = change received

x + (-y) = 4.63

Therefore, an addition equation to represent Jackson's net change in money is x + (-y) = 4.63

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ1

\(V = \pi(3)^2(21)\) is the equation that shows the volume of the given cylinder.

The following formula may be used to determine a cylinder's volume:

\(V=\pi r^2h\)

Where r is the radius of the cylinder's base, h is its height and is a mathematical constant that denotes the ratio of a circle's circumference to its diameter.

We must first determine the radius of the cylinder's base in order to utilize this formula to calculate the fulgurite's volume. The radius is equal to half of the base's diameter, or 3 inches since we know it to be 6 inches.

When we enter the values we are aware of into the formula, we obtain:

\(V = \pi(3)^2(21)\)

Therefore, the expression that represents the volume is \(V = \pi(3)^2(21)\)

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ1

The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

To find the arc length of a polar curve, we use the formula:

L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ

where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.

In this case, we have r(θ) = e^5θ, so:

dr(θ)/dθ = 5e^5θ

Plugging these into the arc length formula, we get:

L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ

Simplifying the integrand, we have:

L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ

L = ∫[0,2π] √(26e^10θ) dθ

L = √26 ∫[0,2π] e^5θ dθ

Using the formula for the integral of e^x, we get:

L = √26 [e^5θ / 5] |_0^(2π)

L = √26 [(e^10π - 1) / 5]

So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

Learn more about arc length

brainly.com/question/31762064

#SPJ11

Answer:

D. Stretch

Step-by-step explanation:

All the others keep the same dimensions

The one which is not a rigid motion transformation is D. Stretch.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Rigid motion transformation is the transformation which is formed when a point or a shape is transformed such that the size or the shape of the original object does not change.

In rotation, translation and reflection, there is no change in the size or the shape.

But in dilation, the size becomes smaller or larger based on it is enlargement or stretch.

So stretch is not a rigid motion transformation.

Hence option D is the correct answer.

Learn more about Rigid Motion Transformation here :

https://brainly.com/question/1408127

#SPJ7

If two points are at different heights on a graph, we would need to check the values of the dependent variable (y-axis) to establish if they are actually different.

To establish if two points on a graph at different heights are actually different, we should check the values of the dependent variable (y-axis) being plotted

We should check the numerical values of the variable being plotted on the y-axis to see if they are different between the two points. This would tell us whether there is a statistically significant difference between the two groups or not.

To determine whether the difference between the two points is statistically significant, we can perform a hypothesis test or a statistical analysis to compare the means or distributions of the data at the two points.

Alternatively, we can also look at confidence intervals or p-values to establish the statistical significance of the difference between the two points.

Learn more about dependent variable here

brainly.com/question/8646933

#SPJ4

Sasha’s daily tips this week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately represents how much money she makes in daily tips?

a. Yes, Sasha is correct. The mean amount she makes is $\(58.33\) in a day.

b. Yes, Sasha is correct. The mean amount she makes is $65.33 in a day.

c. No, Sasha is incorrect. The median amount she makes is $53.00 in a day.

d. No, Sasha is incorrect. The median amount she makes is $60.00 in a day.

a. Yes, Sasha is correct. The mean amount she makes is $58.33 in a day.

Gather all of Sasha's daily tips, we will add them all and divide them by the number of tips on the workweek. We will get:

\(\frac{43 + 32 + 65 + 88 + 50 + 72}{6} = \frac{350}{6} = 58.3333333\)

When rounding \(58.333..\) we get an answer of \(58.33\)

Answer:

x = 0.2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

3.5 + 1.2(6.3 - 7x) = 9.38

Step 2: Parenthesis (distribute)

3.5 + 7.56 - 8.4x = 9.38

Step 3: Combine like terms (constants)

11.06 - 8.4x = 9.38

Step 4: Subtract 11.06 on both sides

-8.4x = -1.68

Step 5: Divide both sides by -8.4

x = 0.2

Answer: -10

Step-by-step explanation:

-5x1 is -5 then subtract -5 which is -10

Answer:

g(1)=-10

Step-by-step explanation:

g(1)=-5x1-5

g(1)=-5-5

g(1)=-10

hope this helped

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

21/22 = repeating

60/120 = terminating

56/72 = repeating

11/121 = repeating

Step-by-step explanation:

i just know. fight me.

Answer:

The answer is 21/22

Step-by-step explanation:

Cause 21/22 equals 0.9545454545454545 and so on with the 54 but the rest of them are all able you be simplified  in fraction form b is 2, c is 7/9, and d is 11

Answer:

x = 5

Step-by-step explanation:

substitute the y  equation into -2x +3y =8 and you will get 5 as the solution :)

The value of 4.62 times 3.78 equals 17.4828.

We have to find  4.62 times 3.78 in standard algorithm

To multiply 4.62 by 3.78 using the standard algorithm, follow these steps:

 4.62

x 3.78

------

 27756  (multiply 8 by 2)

+184368  (multiply 7 by 2, then 8 by 6, and add to the previous result)

-------

 17.4828  (the final answer)

Hence, the value of 4.62 times 3.78 equals 17.4828.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ1

Answer:

E

Step-by-step explanation:

Because the y-intercept is (0,-20)

Answer:

1)$400

2)$900

3)$655

Step-by-step explanation:

1) 12x20=240 - monthly payments

240+160=400 - monthly pay plus the deposit

2) 12x50=600 - monthly payments

600+300=900 - monthly pay plus the deposit

3)12x40=480 - monthly payments

480+175=655  - monthly pay plus the deposit

Answer:  B) \(+\infty\)

=================================================

Explanation:

As x goes to positive infinity, we're moving forever to the right.

If we have a point on the curve, then the point will move to the right and it will also move upward forever.

So as \(x \to \infty\) we have \(y \to \infty\)

Because y = f(x), this is the same as saying \(f(x) \to \infty\)

The notation \(+\infty\) is the same as \(\infty\)

In terms of words, we can say "the curve rises to the right" to describe the end behavior on the right.