$14.50 + what =$21.75

The depth of the water increasing when the water is 13 feet deep is approximately 1.68 feet per minutes.

We know that the conical water tank has a radius of 12 feet and is 26 feet high.

We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:

                                   \(\frac{dV}{dt} = \frac{10 ft^3}{min}\)

We want to find how fast the depth of the water is increasing when the water is 13 feet deep. So, we want to find dh/ dt.

First, remember that the volume for a cone is given by the formula:

                V = 1/3 π r² h    

We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.

We can see that we have two similar triangles. So, we can write the following proportion:

         \(\frac{r}{h} = \frac{12}{36}\)

Multiply both sides by h:

    ⇒ \(r = \frac{12}{36} h\)

So, let's substitute this in r:

\(V = \frac{1}{3} \pi \frac{12}{36} h^{2} h\)

Square:

\(V = \frac{1}{3} \pi \frac{144}{3888} (h^{2} ) h\)

Simplify:

\(V = \frac{144}{3888} \pi h^{2}\)

Now, let's take the derivative of both sides with respect to t:

\(\frac{d}{dt} (V) = \frac{d}{dt} [\frac{144}{3888} ] \pi h^{3}\)

Simplify:

\(\frac{dV}{dt} =\frac{144}{3888} \pi (3h^{2} ) \frac{dh}{dt}\)

We want to find dh/dt when the water is 13 feet deep. So, let's substitute 13 for h. Also, let's substitute 10 for dV/dt. This yields:

\(10 = \frac{144}{3888} \pi (3(13^{2} ) \frac{dh}{dt}\)

\(10 = \frac{144}{3888} \pi (507) \frac{dh}{dt}\)

\(10 = \frac{73008}{3888} \pi \frac{dh}{dt}\)

\(38880 = 73008 \pi \frac{dh}{dt}\)

\(\frac{dh}{dt} = \frac{38880}{73008} \pi\)

\(\frac{dh}{dt} = \frac{38880}{73008} X\frac{22}{7}\)

≈ 1.6737109 feet / min

The water is rising at a rate of approximately 1.68 feet per minute.

Learn more about  depth:

https://brainly.com/question/13804949

#SPJ4

False. While it is true that forecasts can be subject to uncertainties and may not always be entirely accurate, it is not necessarily most appropriate to use the standard deviation of demand as the primary measure of uncertainty.

The standard deviation represents the dispersion of data points around the mean, and it is commonly used to measure variability within a dataset. However, it may not capture all the sources of uncertainty in demand forecasting.

Forecasts consider various factors such as historical data, market trends, customer behavior, and external influences to estimate future demand. Although they may not be entirely precise, they provide valuable insights and help organizations make informed decisions regarding production, inventory management, and resource allocation.

In addition to the standard deviation, other measures of uncertainty, such as confidence intervals or prediction intervals, can be used to quantify the range of possible outcomes and the associated level of uncertainty. These measures provide a more comprehensive understanding of the potential variations in demand, considering the inherent uncertainties in forecasting.

In conclusion, while forecasts may not always be completely accurate, they provide useful guidance for decision-making. The standard deviation of demand alone may not adequately capture the full range of uncertainties, and it is important to consider other measures of uncertainty when assessing the reliability and potential variations in demand forecasts.

Learn more about mean here: https://brainly.com/question/24182582

#SPJ11

Answer:

6 wholes

Step-by-step explanation:

\( \frac{19}{3} = 6 \frac{1}{3} \)

So there are 6 wholes in 19/3.

So the total amount of Alex's paycheck this week is $50 and the equation that we use is: paycheck = saving account deposit / (percentage deposited into saving account / 100)

To find the total amount of Alex's paycheck this week, you can use the following equation:

paycheck = saving account deposit / (percentage deposited into saving account / 100)

Plugging in the known values, we get:

paycheck = $35 / (70% / 100)

Simplifying the fraction, we get:

paycheck = $35 / 0.7

Solving for the paycheck, we find that the total amount of Alex's paycheck this week is $50.

So the total amount of Alex's paycheck this week is $50.

To know more about Paycheck,

visit; brainly.com/question/13173586

#SPJ4

Substitute\($h(x)$\)into \($g(x)$\), resulting in a simplified expression of \($g(h(x))$\) in terms of x, resulting in \($x^4 + 16x^2 + 56$ over $x\geq0$\).

Given functions are \($g(x) = x^2 - 8$\) and \($h(x) = x^2 + 8$\)

To find the simplified expression for \($g(h(x))$\),

let's substitute \($h(x)$\) into\($g(x)$:$$g(h(x)) = (h(x))^2 - 8$$$$g(h(x)) = (x^2+8)^2 - 8$$$$g(h(x)) = x^4 + 16x^2 + 64 - 8$$$$g(h(x)) = x^4 + 16x^2 + 56$$\)

Therefore, the simplified expression for \($g(h(x))$\) in terms of x is \($x^4 + 16x^2 + 56$\) over the domain\($x\geq0$\) .

To know more about functions Visit:

https://brainly.com/question/31062578

#SPJ11

Answer:

60% i believe if i calculated it right

Step-by-step explanation:

Answer:

6/10- 'cause the k in kg means 1000 so it means 1000g so the fraction is 600/1000 but you can cut it down by dividing both sides by the same thing so you can divide both of them by 10 which makes 60/100 but then they still have some zeros on the end so you can divide it by 10 again which makes 6/10.

so, 6/10=0.6*100=60

Step-by-step explanation:

Answer: 2.3

Step-by-step explanation:

Janet can make 3/4 of a necklace in 10 minutes.

We need to find how many necklaces she can make in 1 hour.

1 hour = 60 minutes

We can rewrite it as:

1 hour = 3*(20 minutes)

So Janet can create three 3/4 necklaces in 1 hour

Therefore, the total necklaces Janet can make in 1 hour = 3*(3/4) = 9/4 = 2.25

To the nearest tenth of a necklace = 2.3 necklaces

Answer:

94.3

Step-by-step explanation:

82/100 = X/115

X/115 = 82/100

X*115/115 = 82*115/100

X = 9430/100

X = 94.3

this is what i did i dk what proportion method is .... hope it helps

Answer:

1/2 since there's always a fifty-fifty chance.

Answer: 50, 60, less.

Step-by-step explanation: The theoretical probability of the coin landing heads up is 50%

Based on​ Liz's results, the experimental probability of the coin landing heads up is 60%

The theoretical probability is Less  than the experimental probability in this experiment.

Hope this helped have a nice day!

r = 2

Area = πr^2

= π2^2

= π4

= 12.566370

The area of the circle is 12.57 units squared.

five out of of the twenty-five top-grossing films of 2017 in the united states were part of a movie franchise

If you were to attribute this film, that means you'd say that (something) caused the success of the movie Rocky. This question is basically asking what do you think made this movie a big hit? Personally, I'd say it's because of how the storyline and plot turned out. It's very intriguing and it doesn't just make the movie about boxing. The film adds some love between the protagonist and some other character, and not only that, but the movie teaches you something. Because Rocky lost to Apollo, Rocky didn't care. At least he still had Adrian. So, the movie teaches you that, even if you do lose, at least you still have something and/or someone with you.

learn more about of film here

https://brainly.com/question/14824318

#SPJ4

the correct equation of the curve is:

y = ax³ - 3ax + 3 - 3a

To find the equation of the curve that satisfies the given conditions, we can use the information about critical points and points of inflection.

Given that the curve has a critical point at (-1,3), we know that the derivative of the curve at that point is zero. Taking the derivative of the curve equation, we have:

y' = 3ax² + 2bx + c

Substituting x = -1 and y = 3 into this equation, we get:

0 = 3a + 2b + c     (Equation 1)

Next, given that the curve has a point of inflection at (0,1), we know that the second derivative of the curve at that point is zero. Taking the second derivative of the curve equation, we have:

y'' = 6ax + 2b

Substituting x = 0 and y = 1 into this equation, we get:

0 = 2b     (Equation 2)

Since b = 0, we can substitute this value into Equation 1 to solve for a and c:

0 = 3a + c     (Equation 3)

From Equation 2, we have b = 0, and from Equation 3, we have c = -3a.

Substituting these values into the curve equation, we have:

y = ax³ + 0x² - 3ax + d

Simplifying, we get:

y = ax³ - 3ax + d

To find the value of d, we can substitute the coordinates of one of the given points (either (-1,3) or (0,1)) into the equation.

Let's substitute (-1,3):

3 = a(-1)³ - 3a(-1) + d

3 = -a - (-3a) + d

3 = -a + 3a + d

3 = 3a + d

Simplifying, we get:

d = 3 - 3a

So the equation of the curve that satisfies the given conditions is:

y = ax³ - 3ax + (3 - 3a)

Simplifying further, we have:

y = ax³ - 3ax + 3 - 3a

To know more about equation visit:

brainly.com/question/29538993

#SPJ11

Answer:

m=2

Step-by-step explanation:

you subtract the y-values (4-2) and put it as the numerator of a fraction than subtract the x-values (3-2) and put them as the denominator of the fraction. For this equation it would be

\(\frac{4-2}{3-2} = \frac{2}{1} = 2\)

The time taken to reach the maximum height is 1.25 seconds.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function h(t) = -16t² + 40t + 10.

To calculate the time to get the maximum height to differentiate the function with respect to t and equate it with zero,

h(t) = -16t² + 40t + 10.

(d/dt)h(t) = ( d / dt ) { -16t² + 40t + 10 } = 0

( d / dt ) { -16t² + 40t + 10 } = 0

-32t  + 40 = 0

-32t = -40

t = 40 / 32

t = 1.25 seconds

To know more about an expression follow

https://brainly.com/question/2254121

#SPJ1

Answer:

180 - a = b and a + b = 180

Step-by-step explanation:

The equation of the translated function is:

g(x) = (x + 3)^2 - 2

We can see that the blue graph is a translation of the red one, where the equation for the red graph is:

f(x) = x^2

Remember that the translations are:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

By analyzing the vertices, we can see that the vertex of the blue graph is at (-3, -2) so we have a translation of 3 units to the left and 2 units down, meaning that we have:

g(x) = f(x + 3) - 2 = (x + 3)^2 - 2

So the correct option is A.

If you want to learn more about translations, you can read:

https://brainly.com/question/11468584

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

To solve the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0, we need to simplify and rearrange the equation to its standard form and then solve for p.

Combining like terms, the equation becomes:

3p^2 - 10p + 5 = 0

Now, we can use the quadratic formula to solve for p. The quadratic formula states:

p = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 3, b = -10, and c = 5. Substituting these values into the quadratic formula, we have:

p = (-(-10) ± √((-10)^2 - 4 * 3 * 5)) / (2 * 3)

Simplifying further:

p = (10 ± √(100 - 60)) / 6

p = (10 ± √40) / 6

p = (10 ± 2√10) / 6

Now, we can simplify and find the two possible values of p:

p₁ = (10 + 2√10) / 6

p₂ = (10 - 2√10) / 6

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

In simplified form, the solutions are:

p₁ = (5 + √10) / 3

p₂ = (5 - √10) / 3

For more questions on quadratic equation

https://brainly.com/question/1214333

#SPJ8

Answer:

x=1 x=-11

Step-by-step explanation:

first you need to find what two numbers add together to make 10x and multiply together to make 25-

this would be 5

so we can rewrite it as (x+5)(x+5) = 36

which is the same thing as (x+5)^2 =36

then taking the root of both sides we get (x+5)= plus or minus 6

so x=-11 or x equals 1

The correct answer is option (c)Analysis of field (actual) data. The basic maintainability requirements for a system or component are best determined via analysis of field (actual) data.

This is because actual usage and maintenance data can provide insights into the most common issues and failures that occur during the lifespan of the system or component. This information can then be used to inform design decisions and improve the overall maintainability of the system.

Analyzing customer requirements can also be helpful in determining maintainability requirements, as it can provide insight into the specific needs and expectations of the end-users. However, this approach may not always capture all potential issues or failure modes that may arise during actual use.

Similarly, analyzing test data can provide valuable information about the performance and reliability of a system or component under controlled conditions. However, it may not always reflect real-world usage scenarios or account for all potential failure modes.

Finally, while compatibility between design engineering and maintainability engineering is important for ensuring that maintenance considerations are integrated into the design process, it is not necessarily the best way to determine basic maintainability requirements.

In summary, analysis of field (actual) data is the most effective way to determine basic maintainability requirements for a system or component.

To know more about analysis of field (actual) data refer here:

https://brainly.com/question/32684303#

#SPJ11

Answer:

A

Step-by-step explanation:

The root 5's cancel each other out.

4x-2x = 2x

Therefore

2x/3 is the final answer

Answer:                                                                                                                                                       Lafayette Golf Course has a membership fee of $80 a year plus $15 ... Municipal Golf Course has a membership fee of $120 a year plus $10 a round. ... represents the annual cost of a member golfing at Lafayette Golf Course.

Step-by-step explanation: I rote this answer fist someone copied me.

The 16th term of the arithmetic sequence is -60.

To find the 16th term of an arithmetic sequence with a first term of 0 and a common difference of -4

we can use the formula for the nth term of an arithmetic sequence:

nth term = a + (n - 1)d

where:

a = first term

d = common difference

n = term number

Substituting the given values, we have:

16th term = 0 + (16 - 1) × (-4)

= 0 + 15(-4)

= 0 - 60

= -60

Therefore, the 16th term of the arithmetic sequence is -60.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ1

The type of variable required is Qualitative with two possible outcomes.

An estimate level of uncertainty is expressed by a range of values known as a confidence interval.

Keeping in mind, the z-score and other data's decimal places should be preserved when generating the confidence interval upper and lower bounds. The responses will be accurate and round-off errors will be prevented.

Also, the confidence interval boundaries are expressed in percentages. The maximum value of 0.8740, for instance, is 87.4% in decimal notation.

Make sure to specify the confidence level, the percentage of the population that the confidence interval actually captures, and the bounds expressed in percentages when expressing the meaning of the confidence interval.

Hence, the type of variable required to construct a confidence interval for a population​ proportion is Qualitative with 2 possible outcomes.

To learn more about confidence interval :

brainly.com/question/15712887

#SPJ4

Answer:

B

Step-by-step explanation:

They're each 4 times as miles away

Answer:

-20

Step-by-step explanation:

the slope is 2

2*30 = 60

40 - 60 = -20

Answer:

Step-by-step explanation:

(6-4)/2= 2/2= 1

(7-3)/2= 4/2= 2

(1, 2)

The next step is Add 1 to both sides of the inequality.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.

Given:

14 > x + 7(x+1) -1

14 > x + 7x + 7 -1

now, Add 1 to both sides of the inequality.

14+ 1 > x+ 7x + 7- 1 +1

15> x+ 7x +7

again, Subtract 7 from both sides of the inequality.

15 - 7 > x+ 7x + 7 -7

8 > x+ 7x

and, 8 > 8x

1>x

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ1

The maximum distance Frank can travel would be 10 miles.

What is maximum distance?

For maximum distance that is maximum range of a projectile, the angle of projectile should be 45°.

From given question,

taxicabs charge for first mile = $1.00

for each additional mile = $0.30

The cost for the first mile is $1, and for each additional mile it's $0.30, so for 10 miles it would be $1 + 9 * $0.30 = $4.70. Since Frank has only $3.50, he can travel a maximum of 10 miles.

Therefore, The maximum distance Frank can travel would be 10 miles.

To know more about maximum distance visit,

https://brainly.com/question/2497377

#SPJ1

In linear equation, 80 cups of water will yonni need to replace all the water in the fish tank.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Now, as we know:

1 quart  = 0.25 gallons

⇒ 4 pints =  1  gallons

⇒ 8 pints =  2 gallons

Also, 1 pint  = 0.5 quart

⇒ 2 pints =  1 quarts

⇒ 8 pints =  4 quarts

⇒ 16 pints =  8 quarts

Again,  1 cup = 0.5 pint

⇒ 2 cup  = 1  pint

⇒ 32 cup  = 16  pints

so 16 * 5 = 80 cups

Learn more about linear equation

brainly.com/question/29739212

#SPJ4