A un estanque de agua en completa calma, se tira una piedra que provoca la formación de ondas circulares concéntricas, cada onda se aleja del centro a una velocidad de 20cm/seg¿con qué velocidad está aumentando la superficie total del agua perturbada al cabo de 8 seg?​

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

The area of the puddle when 10 liters of water is spilled on a flat floor is approximately X square meters for De = 1° and Og = 180°.

To calculate the area of the puddle, we need to consider the shape of the puddle formed on the flat floor. The shape depends on the contact angle (De) and the wetting angle (Og).

For De = 1°:

In this case, the contact angle is very small, indicating that the water spreads out and wets the entire floor. The puddle will have a large spreading area.

For Og = 180°:

A wetting angle of 180° means that the water does not wet the surface at all. It forms a droplet or beads up, resulting in a small contact area with the floor.

Without knowing the specific details of the floor's surface or the behavior of the water (e.g., viscosity, surface tension), it is challenging to provide an exact calculation for the puddle area. The area will vary based on these factors.

The area of the puddle when 10 liters of water is spilled on a flat floor depends on the contact angle (De) and the wetting angle (Og). For a contact angle of 1°, the puddle will have a larger spreading area compared to a wetting angle of 180°, where the water forms droplets with a smaller contact area. The specific calculation requires additional information about the floor's surface and the water's behavior.

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Answer: -2a² + 2a + 2

Step-by-step explanation:

Given worded expression

subtract the sum of  (8a-6a²+9) and (-10a-8+8a²) from 3

Convert to numerical expression

3 - [(8a - 6a² + 9) + (-10a - 8 + 8a²)]

Expand parentheses in the bracket

=3 - [8a - 6a² + 9 - 10a - 8 + 8a²]

Combine like terms in the bracket

=3 - [(-6a² + 8a²) + (8a - 10a) + (9 - 8)]

=3 - [2a² - 2a + 1]

Expand bracket

=3 - 2a² + 2a - 1

Combine like terms

=-2a² + 2a + (3 - 1)

=\(\boxed{-2a^2+2a+2}\)

Hope this helps!! :)

Please let me know if you have any questions

The values of z for the standard normal distribution are 1.17 and -1.17

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

Distribution type = standard normal distribution

The number z that has cumulative proportion 0.88.

This means that we calculate the z-score from the p-value

i.e p = 0.88

Using the z-score table of values, we have the following representation

z = 1.17

The number z such that the event z > z has proportion 0.12

This means that we calculate the z-score from the p-value

i.e. p = 0.12

Using the z-score table of values, we have the following representation

z = -1.17

Hence, the z-scores are 1.17 and -1.17

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The variable z follows a standard normal distribution. Let's solve the given problems step by step: (a) To find the number z that has a cumulative proportion of 0.88, we need to find the z-score that corresponds to this proportion. The cumulative proportion represents the area under the standard normal curve to the left of a given z-score.

Using a standard normal distribution table or a calculator, we can find the z-score associated with a cumulative proportion of 0.88. The z-score is approximately 1.175. Therefore, the value of z that corresponds to a cumulative proportion of 0.88 is approximately 1.175.

(b) To find the number z such that the event z > z has a proportion of 0.12, we need to find the z-score that corresponds to this proportion. The event z > z is equivalent to finding the area under the standard normal curve to the right of z. Using a standard normal distribution table or a calculator, we can find the z-score associated with a proportion of 0.12 to the right of z. The z-score is approximately -1.175.

Therefore, the value of z that corresponds to the event z > z having a proportion of 0.12 is approximately -1.175.

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Answer:

Step-by-step explanation:

To estimate the number of times the earth will rotate on its axis during a human's lifetime, we first need to determine the average length of a human's lifetime.

According to the World Health Organization, the global average life expectancy at birth in 2020 was approximately 72 years. Next, we need to calculate the number of days in 72 years. 72 years x 365 days/year = 26,280 days.

Since the earth rotates once every 24 hours, we can calculate the number of rotations by dividing the number of days by 24. 26,280 days ÷ 24 hours/day = 1,095 rotations. Therefore, we can estimate that the earth will rotate on its axis approximately 1,095 times during a human's lifetime.

I decided on using the average human's lifetime based on data from the World Health Organization to provide a general estimate. However, it's important to note that life expectancy can vary greatly depending on factors such as geography, lifestyle, and genetics.

we can use this formula: Number of rotations = Average lifespan (in years) x Rotations per year
Number of rotations = 72 years x 365 rotations/year
Number of rotations ≈ 26,280 rotations, So, we can estimate that the Earth will rotate on its axis about 26,280 times during an average human's lifetime.

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The amount of the temperature decrease will be 332 °C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The oven temperature was at 325 degrees because my mom just finished baking a pie.

I increased the temperature, 75 degrees, so I could bake a pizza.

Then the temperature will be

⇒ 325 °C + 75 °C

⇒ 400 °C

After the pizza was cooked, I turned off the oven.

The oven cooled to the room temperature of 68 degrees.

Then the amount of the temperature decrease will be

⇒ 400 °C – 68 °C

⇒ 332 °C

The remaining question is given below.

How much did the temperature decrease?

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The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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55:86

Step-by-step explanation:

86+55=123 so ratio is from girls to boys

Answer: 55:68

Explanation:

This ratio compares part-to-part, or the number of votes from girls to the number of votes from boys. If 123 people voted for Danny and 55 of those votes were from girls, then 68 votes were from boys. The ratio would be 55:68.

Step-by-step explanation:

the distance between these two points is 11 units

Mary works for four days in a week, and she works 60% of the days from Monday to Friday.

From Monday through Friday, Mary works in the bookstore on 2 days and in the tutoring center on another day.

On Saturday and Sunday, Mary cleans bathrooms ​50% of the days.

Mary works 3 days from Monday to Friday as she works 2 days in the bookstore and 1 day in the tutoring center. Additionally, she works cleaning bathrooms on half of the weekends,

which would mean that she works 1 day on weekends.

Thus, Mary works a total of 4 days in a week.

Mary works 3 days from Monday to Friday.

Thus, the total days of the week are 5.

To calculate the percentage of the work, we need to divide the number of days Mary works from Monday through Friday by the total number of days in a week.

Percent of Monday through Friday does Mary ​work = Number of days marry will work / total days of the week  x 100

Then, the percentage of the work Mary does from Monday to Friday would be:

\(\frac{3}{5} \times 100\) = 60%

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Answer:

Step-by-step explanation:

Answer:

Check Below

Step-by-step explanation:

given things  : 1. height of cone  = 22* 1/4 feet or  89/4 feet

                       2.  diameter of cylinder = 2* 2/5 times of height

                                                          =  12/5 times of height or 12/5 * 89/4

                                                           = 89*3/5 feet

now formula of volume of cone =  Pi R² * H

                                                       = (3.14) ( D/2)² * H

                                                       = (3.14)*  (89*3/10)² * 89/4

                                                       = (3.14) * (26.7)² * 22.25

                                                       = (3.14) * 712.89 * 22.25

                                                       =  (49806.06)

Hope u find this answer Helpful !

Answer:

was

Step-by-step explanation:

lol

To find q(z) and r(a) such that f(x) = g(x)g(x) + r(r), we need to factorize g(x) into its irreducible factors and divide f(x) by g(x).

The quotient q(z) will be the result of the division, and the remainder r(a) will be the remaining terms that cannot be divided evenly. We also need to ensure that r(a) is either 0 or has a degree less than the degree of g(x).

Given the functions f(x) = x+2+³+x+(3) and g(x) = x + ³+ [2]x² + [2] € Zs[r], we want to find q(z) and r(a) such that f(x) = g(x)g(x) + r(r).

First, we factorize g(x) into its irreducible factors. Without the explicit form of g(x), we cannot determine its factorization.

Next, we divide f(x) by g(x). The quotient q(z) will be the result of the division, and the remainder r(a) will be the terms that cannot be divided evenly.

To ensure that r(a) has either a degree of 0 or a degree less than the degree of g(x), we need to compare the degrees of r(a) and g(x).

Unfortunately, the given information does not provide sufficient details to determine the specific values of q(z) and r(a). Without the explicit form of g(x) and further information, we cannot proceed with the calculations.

Therefore, without additional information, we cannot provide a specific answer for q(z) and r(a) in this case.

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Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

Example:

Discount formula:

(original_price * discount / 100)

_____________________________________________________

Percentage discount is a discount that is given to a product or service that is given as an amount per hundred. For example, a percentage discount of 20% would mean that an item that originally cost $100 would now cost $80. This is common with promotional and seasonal sales, as a way of encouraging consumers to buy an item at a reduced cost.

___________________________________________________

$279 - $55.80 = $223.20

You would therefore be saving $55.80 on the purchase for a final price of $223.20.

For this calculator, a "stackable additional discount" means getting a further percent off of a product after a discount is applied. Using the same example, assume that the 20% discount is a discount applied by the store to the product. If you have a coupon for another 15% off, the 15% off would then be applied to the discounted price of $223.20. It is not a total of 35% off of the original price. It is less:

15% of $223.20 = $33.48

$223.20 - $33.48 = $189.72

Thus, with a 20% discount off of $279, and an additional 15% off of that discounted price, you would end up saving a total of:

$55.80 + $33.48 = $89.28

This equates to a 32% discount, rather than a 35% discount, and this calculation is how the calculator is intended to be used. As an example, to more efficiently compute the discount described above:

Final price = (0.80 × 279) × 0.85 = $189.72

This is because 80% of the original price is the same as subtracting 20% of the original price from the original price. The same is true for 85% and 15% case applied to the discounted price.

Answer:

21 divided by 3

21 divided by 7

7 times by 3

Answer:

can u help me for me ques pls

Answer:

B.

Step-by-step explanation:

There is a proportional relationship between a circle's circumference and its diameter. The ratio between circumference and diameter will always be the same, regardless of the circle's size.

Hope this helps :)

The required equation of the line is y = -3x - 3. Option B is correct.

Given that,
A graph of a function is shown, and we have to determine the equation of the function.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
From the graph, it can be concluded that the function is a line, so the slope of the line is given as,
m = -3 - 0 / 0 + 1
m = -3
And the point on the function is (-3, 0)
Now,
Slope intercept form of the line,
y + 3 = -3 (x - 0)
y = -3x  - 3

Thus, the required equation of the line is y = -3x - 3. Option B is correct.

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Answer:it B I hope this helps please mark brainlist

Step-by-step explanation:

I don’t have a explanation I know it’s B

According to the given problem statement,\(D = 2.00 x 10-4 m²/st = 0.2 x 10-3 cm²/s,\) the carbon diffusion depth is evaluated to be 0.4 mm and the gear requires a depth of 0.8 mm for the intended application.

We have to predict how long it will take for the same sample at the same processing temperature to reach the target carbon diffusion depth,
x = 0.8 mm.
x = (Dt)1/2Where x is the diffusion depth, D is the diffusion coefficient, and t is the time of the diffusion process.

The formula for finding the time required for the solid to diffuse to a given depth is given by the equation:\(t = x² / 4DT\)

The time required to diffuse the carbon to a depth of 0.8 mm is as follows:
\(t = x² / 4DTt = (0.8)² / 4 (0.2 x 10-3 cm²/s)t\)
\((0.64) / (0.8 x 10-3 cm²/s)t\)

\(800 secondst = 800/3600 hourst = 0.222 hours\)

The same sample will take 0.222 hours or 13.32 minutes to reach the target carbon diffusion depth.

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Do you mean 32/192 or 192/32 because 32/192= 0.1666 where 192/32= 6

Answer:

1/6.

Step-by-step explanation:

32/192       Divide top and bottom by 8:

= 4 / 24       Now by 4:

= 1/6.

Answer: 3125

Step-by-step explanation:

5³x25

125x25

3125

If Amy uses 41-cent stamps and 6-cent stamps to mail a gift card to a friend worth of $1.77 , then the number of 41 cent stamp used is 3  and the number of 6 cent stamps used is  9 .

Let the number of 41 cents stamps used in postage is = x ;

let the number of 6 cents stamps used in postage is = y ;

the amount 41 cents in dollars is = $0.41  ;

and amount 6 cents in dollars is = $0.06  ;

Amy used 41-cent stamps , 6-cent stamps to pay $1.77 in postage

it is represented in equation form as  ⇒ 0.41x + 0.06y = 1.77

Multiplying on both sides by 100 , we get

⇒ 41x + 6y = 177  ;

⇒ y = (177 - 41x)/6 ;

We will test for corresponding values of x and y to satisfies this equation and the number of stamps must be whole numbers.

If x = 1 , then y = 26.66

If x = 2 , then y = 15.83

If x = 3 , then y = 9

If x = 4 , then y = 2.16 .

the only values that shows a whole number is : If x = 3 , then y = 9 .

Therefore , Amy used "3" 41-cents stamps and "9" 6-cent stamps .

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Answer:

assume both unknown angles as x so x+x=2x

then 180° (2x+90)=90/2

angle x =45°

another angle = 180-[90°+45°]

. 180°-135°

=45°

so angle x =45°

another angle = 45°

To find the height of the tree, we can use the tangent of the angle between the top of the tree and the tip of Ellie's shadow to find the height of the tree.

Tangent(theta) = Opposite / Adjacent

Opposite = height of tree

Adjacent = distance between Ellie and the tree

Tangent(theta) = height of tree / 16.2

We know that:

Tangent(theta) = 20.25 / 16.2

We can solve for the height of the tree by multiplying both sides of the equation by 16.2:

height of tree = Tangent(theta) * 16.2

height of tree = (20.25 / 16.2) * 16.2height of tree = 20.25

So, the height of the tree is 20.25 meters to the nearest hundredth of a meter.

Answer:  the height of the tree is 20.25 meters to the nearest hundredth of a meter.

Step-by-step explanation:

Answer:

In 2003 there was only a short waiting time of 116 seconds!

That's less than TWO minutes.

However, over the years, the drive-thru wait time has gone up 20%

In 2021, due to a study/survey, the drive-thru wait time has been 3+ minutes on average.

Answer:

in 2013 the average time was 180.83

Step-by-step explanation:

Answer:

18 quarters

Step-by-step explanation:

1 quarter = 25 cents = $0.25

Hence, the number of quarters in $4.50

Converting $4.50 to cents

$1 = 100 cent

$4.50 = (4.50 * 100)

$4.50 = 450 cents

Number of Quarters in $4.50 :

450 cents / 25 cents

= 18 quarters

The number of cars that must be made to minimize the unit cost is 300 cars which is determined by differentiation.

Differentiation is a mathematical process that determines the instantaneous rate of change of a function based on one of its variables. The most common example is velocity, which is the rate of change of displacement with respect to time. Anti-differentiation is the inverse of finding a derivative.
Differentiation is used to calculate the rate of change of quantities in real time.

Since, we have been given the cost function to be function \((cx)= 1.1^{2} - 660x+107,357\) then we have to find the first differentiation in order to get the value and this will be:-

\((cx)= 1.1^{2} -660x+107,357\\2.2x=660\\x=\frac{660}{2.2} \\x=300\)

Therefore, the number of cars that must be made to minimize the unit cost is 300 cars.

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