factorize
a square -​

The rate of the water rising in the tank when the depth of the water is 1 ft is 56.05 ft/min.

The rate of change of volume is-

dV/dt = 11 ft3/min.

Volume of cylindrical cone = (1/3)πr²h

As we're trying to find dh/dt, we need to calculate the volume within terms of just one variable, h.

Diameter =  22 ft

Thus, radius is 11 ft

By using height and radius of a water in the tank, we may calculate h using similar ratios.

11/44 = r/h

1/4 = r/h

r= h/4

Put into volume;

V = (1/3)π(h/4)h²

V = (1/3)(π)h³ / (16)

dV/dt = [(1/3)(3)(π)(h)² / 16](dh/dt)

V = [(π)(h)² / 16](dh/dt)

Solve for (dh/dt) ;

dh/dt = (dV/dt)(16) / [((π)(h)²]

Now, the change in volume is dV/dt = 11 ft³/min

dh/dt = (11 ft³/min)(16) / [((π)(h)²]

For h = 1 ft,

dh/dt = (11 ft³/min)(16) / [((π)(1 ft)²]

dh/dt ≈ 56.05 ft/min

Thus, the rate of the water rising in the tank when the depth of the water is 1 ft is 56.05 ft/min.

To know more about the rate of change, here

https://brainly.com/question/25184007

#SPJ4

Answer:

4.21

Step-by-step explanation:

12 is less than 21 therefore its bigger

The larger number is 4.21

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = A

Let the second number be = B

Now , the value of A = 4.12

And , the value of B = 4.21

Now , we can clearly see the value of B is greater than A

So , the equation will be

Therefore , the value of B > A

And , 4.21 > 4.12

Hence ,The larger number is 4.21

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

The numerator will always be Positive.

Step-by-step explanation:

I don't know if I am right but I am pretty sure I am if I am wrong then it is Negative

The statement "The two-second rule is the accepted method of computing the following distance" is true.

The two-second rule is a widely recognized guideline used to determine a safe distance to maintain between vehicles while driving. It suggests that drivers should keep a time gap of at least two seconds between their vehicle and the vehicle in front of them.

The two-second rule is based on the principle that it takes about two seconds for a driver to perceive a hazard, react to it, and begin to apply the brakes. By maintaining this time gap, drivers allow themselves enough space to react to sudden changes in the traffic situation or unexpected maneuvers by the vehicle ahead.

Thus, the given statement is true.

Learn more about the two-second rule here:

https://brainly.com/question/31661066

#SPJ4

Answer:

C. D. E. is the correct answer.

Step-by-step explanation:

Hope this helps you. Have a nice day. If you have doubt then please ask in comments.

Please mark as brainliest. It helps a lot.

Answer:

M = C

BC = LM

B = L

Step-by-step explanation:

We can see that there are double lines between BC and LM, and a triple line curves at Angle B and Angle L.

We can conclude that:

A = K

B = L

C = M

C = K (NO)

BA = MK (NO)

M = C (YES)

BC = LM (YES)

B = L (YES)

Answer:

In a triangle, the sum of any two sides must be greater than the third side. Using this fact, we can set up an inequality to find the range for the value of x:

26 + 29 > x

55 > x

So the third side must be less than 55 inches. Additionally, the third side must be greater than the positive difference between the other two sides, or:

29 - 26 < x

3 < x

Therefore, the range for the value of x is:

3 < x < 55

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

subtrahend

Step-by-step explanation:

The number which is subtracted from another number is called "subtrahend".

10 - 2 = 8

In this subtraction, the first number, "10" is called the minuend.

The second number, "2" is called the subtrahend.

The third number "8" is the difference.

Answer:

y = 1/2x+11

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's find the slope of line considering coordinates of points (-3 , 4) and (2 , -1) ~

Yes, the sequence of random variables Yn converges to the random variable Y pointwise everywhere.

Since Yn is identically zero for every n, it converges to Y, which is also identically zero for every n, at every point in the sample space.

We have,

A sequence of random variables is denoted as Yn, and each random variable Yn is defined as being identically zero for every possible outcome (!) in the sample space.

When we say that Yn converges to Y pointwise everywhere, it means that for each specific outcome (!) in the sample space, the corresponding values of Yn will approach the value of Y as n (the number of terms in the sequence) increases.

In this case, since Yn is always zero for every outcome (!), it means that as n increases, the value of Yn remains zero.

Consequently, at every point in the sample space, the sequence Yn converges to the random variable Y, which is also identically zero.

In other words, no matter which specific outcome we consider, the values of Yn and Y are always the same (zero in this case), so Yn converges pointwise to Y everywhere in the sample space.

Thus,

Yes, the sequence of random variables Yn converges to the random variable Y pointwise everywhere.

Learn more about sequence convergence here:

https://brainly.com/question/29394831

#SPJ4

The complete question:

Consider the random variable Y that is identically zero for every ω ∈ Ω; that is, Y(ω) = 0 for every ω ∈ Ω.

Does the sequence of random variables Yn converge to Y pointwise everywhere? What does this convergence imply

Answer:

Subtracting 7

Step-by-step explanation:

Given:

Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack.

To Find:

What kind of sequence is this?

Solve:

Let's make a table:

[1 stack]  45

[2 stack] 38

[3 stack] 31

[4 stack] 24

Now all we have to do is subtract to see what each is:

45 - 38 = 7

38 - 31 = 7

31 - 24 = 7

Thus,

[1 stack]  45 ⇒ 7

[2 stack] 38 ⇒ 7

[3 stack] 31 ⇒ 7

[4 stack] 24 ⇒ 7

Hence, each stack is going down by 7.

Kavinsky

Answer:

f(x) = 4x - 4

Step-by-step explanation

Answer:

37 and 53 is the correct option

Answer: remember that the triangle always equals 180

1. 29+78= 107 and 107 is the exterior angle but 73 is the last angle.

2. 95+85=180 and 180 is the exterior angle but 0 is the last angle.

3. 37+53=90 and 90 is the exterior angle but 90 is the last angle.

4. 29+56=85 and 85 is the exterior angle but 95 is the last angle.

Therefore, 65% of all nurses have a starting salary, z = invNorm(0.35) ≈ -0.3853 and z = (41861.5 - 67694) / 10333 ≈ -2.49.

b) We need to find P(X ≥ 78371.8). To do this, we can standardize the value using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. Then we can look up the probability in a standard normal distribution table or use a calculator.

\(z = (78371.8 - 67694) / 10333 \approx 1.04\)

Using a standard normal distribution table or calculator, we find that P(Z ≥ 1.04) ≈ 0.1492. Therefore, the probability that a randomly selected nurse has a starting salary of 78371.8 dollars or more is about 0.1492.

c) We need to find P(X ≤ 91407.1). Again, we can standardize the value and look up the probability in a standard normal distribution table or use a calculator.

\(z = (91407.1 - 67694) / 10333 \approx 2.30\)

Using a standard normal distribution table or calculator, we find that P(Z ≤ 2.30) ≈ 0.9893. Therefore, the probability that a randomly selected nurse has a starting salary of 91407.1 dollars or less is about 0.9893.

d) We need to find P(78371.8 ≤ X ≤ 91407.1). We can standardize the values and use a standard normal distribution table or calculator to find the probability.

z1 = (78371.8 - 67694) / 10333 ≈ 1.04

z2 = (91407.1 - 67694) / 10333 ≈ 2.30

Using a standard normal distribution table or calculator, we find that P(1.04 ≤ Z ≤ 2.30) ≈ 0.4657. Therefore, the probability that a randomly selected nurse has a starting salary between 78371.8 and 91407.1 dollars is about 0.4657.

e) We need to find P(X ≤ 41861.5). Again, we can standardize the value and use a standard normal distribution table or calculator.

z = (41861.5 - 67694) / 10333 ≈ -2.49

Using a standard normal distribution table or calculator, we find that P(Z ≤ -2.49) ≈ 0.0062. Therefore, the probability that a randomly selected nurse has a starting salary that is at most 41861.5 dollars is about 0.0062.

f) Yes, a starting salary of 41861.5 dollars is unusually low for a randomly selected nurse. This is because the probability of getting a starting salary at or below this value is very small, as we calculated in part (e).

g) We want to find the value x such that 65% of all nurses have a starting salary greater than x. This means we need to find the 35th percentile of the distribution, which we can do using a standard normal distribution table or calculator.

z = invNorm(0.35) ≈ -0.3853

Using the formula z = (x - μ) / σ, we can solve for x:

-0.3853 = (x - 67694) / 10333

x - 67694 = -0.3853 * 10333

x ≈ 63757.72

To know more about distribution visit:

https://brainly.com/question/31197941

#SPJ1

The patient is recieving nearly 35.5 miligrams of the drugs for  per kilogram per 24 hours.

First, we need to convert the child's weight from pounds to kilograms:

99 lbs / 2.205 = 44.9 kg

Next, we calculate the recommended dose for this weight:

40 mg/kg/24h x 44.9 kg = 1796 mg/24h

Since the recommended dose is divided into four equal doses, each dose should be:

1796 mg/24h ÷ 4 doses = 449 mg/dose

However, the physician ordered 400 mg every 6 hours, which is not the same as 449 mg every 6 hours. To calculate the actual dose per kilogram per 24 hours, we need to convert the ordered dose to the recommended dose:

400 mg/dose x 4 doses = 1600 mg/24h

Then, we divide the actual dose by the child's weight in kilograms:

1600 mg/24h ÷ 44.9 kg = 35.6 mg/kg/24h

Therefore, the patient is receiving 35.6 mg/kg/24h, which is slightly lower than the recommended dose of 40 mg/kg/24h.

Learn more about Medical Dosage :

https://brainly.com/question/29061717

#SPJ4

Answer:

i think it is 6 but not sure

Step-by-step explanation:

Answer:

A is the answer hope i could help

Step-by-step explanation:

Answer: \(\left(\dfrac{-7}{2},\dfrac{5}{4}\right)\).

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

\(AP:AB=3:4\)

\(AP:PB=AP:(AB-AP)=3:(4-1)=3:1\)

It means, point P divides segment AB in 3:1.

Section formula:  If a point divides a line segment in m:n, then

\(\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)\)

Using section formula, we get

\(P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)\)

\(P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)\)

\(P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)\)

\(P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)\)

Therefore, the required point is \(\left(\dfrac{-7}{2},\dfrac{5}{4}\right)\).

Answer:

10.8

Step-by-step explanation:

AB can be calculated using the formula \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

The coordinates of A are when x = -2, y = -2

At B, x = 8, y = -6

Let,

\( A(-2, -2) = (x_1, y_1) \)

\( B(8, -6) = (x_2, y_2) \)

Plug the values into the formula.

\( AB = \sqrt{(8 - (-2))^2 + (-6 -(-2))^2} \)

\( AB = \sqrt{(8 + 2)^2 + (-6 + 2)^2} \)

\( AB = \sqrt{(10)^2 + (-4)^2} \)

\( AB = \sqrt{100 + 16} \)

\( AB = \sqrt{116} = 10.8 \) nearest tenth

Answer:

4

Step-by-step explanation:

10÷2.5

Answer:

4 plants

Step-by-step explanation:

She can grow 4 plants because 10/2.5 is equal to 4. So, the answer is 4 plants.

Answer

8,5,4,9,1,3,-2,5,3

Step-by-step explanation:

8-3=5 4+5=9 9-8=1

1-3= -2 -2+5=3 3-8= -5

Answer:

He will need 5 bags of fertilizer

Step-by-step explanation:

The area of the field would be 15 x 13 which is 195 square feet . If one bag of fertilizer covers 39 square feet then by dividing 195 by 39 you can come up with the answer; 5 bags

the solution to the differential equation is x¯ + 3/2

differential equation is

y' = xy² - x.

Separate the variables:

x' = xy² - x/x²= y² - 1/x² - y² = 1/y²(1 - y²)

integrate both sides

∫(1/y²(1 - y²)) dy = ∫dx/x² + C

where C is the constant of integration. To integrate the left-hand side of the equation,  use partial fractions and write the integrand as:

(1/y²(1 - y²)) = 1/y² + 1/(1 - y²)

= 1/y² + 1/2 [(1/(1 - y)) - (1/(1 + y))]

integrate to get

∫(1/y²(1 - y²)) dy = - 1/y + 1/2 [(ln|1 - y| - ln|1 + y|)]

= - 1/y + (1/2) ln| (1 - y)/(1 + y) | + C

Substitute y(1) = 2 and solve for C:

2 = 1 - 1/2 + C

=> C = 3/2

- 1/y + (1/2) ln| (1 - y)/(1 + y) |

= x¯- 1/2 [(1/y) + ln| (1 - y)/(1 + y) |]

= x¯ + 3/2

At x¯ = 1, y = 2,

- 1/4 = 1 + 3/2- 1/2 ln| 1/3 |

=> ln| 1/3 |

= 11/2

Therefore, the solution to the differential equation is

- 1/2 [(1/y) + ln| (1 - y)/(1 + y) |]

= x¯ + 3/2- 1/2 [(1/y) + ln| (1 - y)/(1 + y) |]

= x¯ + 3/2

To learn more about differential equation,

https://brainly.com/question/25731911

#SPJ11

Answer:

A.

Step-by-step explanation:

The domain is the x values, the range is the y values. The x values are not supposed to repeat and give different y values.

"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)

\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)

and

\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)

Use this antiderivative to compute the following improper integral:

\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)

For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?

Evaluate the existing limit to compute the Laplace transform of  on the domain you determined in the previous part:

\(\[L\{e^t \cos(3t)\\).

To know more about antiderivative visit-

brainly.com/question/9700015

#SPJ11

TRUE. The pivot positions in a matrix can be affected by row interchanges during the row reduction process.

Row interchanges involve swapping the order of rows in a matrix, which can change the leading entry (or pivot) in each row. The leading entry is the first nonzero element in a row, which is used to create zeros below it during the row reduction process. If row interchanges are used, the leading entries of each row may change, resulting in a different set of pivot positions in the matrix.

However, the row space, column space, rank, null space, and determinant of the matrix remain the same under row interchanges, as these properties are invariant under elementary row operations.

To learn more about pivot positions please click on below link.

https://brainly.com/question/30470533

#SPJ4

The pivot positions in a matrix depend on whether row interchanges are used in the row reduction process? TRUE/FALSE

Answer:

12

Step-by-step explanation:

12 times 2 = 24 + 5= 29

Answer:

19

Step-by-step explanation:

29 minus five minus five

The perimeter (P) of a square shape is the total length of the multitude of sides of the square shape. Since the contrary sides of a square shape are equivalent, a square shape has two equivalent lengths and two equivalent widths.

Given that the perimeter of the square shape is 168 centimeters, while the width of the square shape is 41 centimeters.

Perimeter = 2(Length + Width)

168 centimeter = 2(Length + 41 centimeter)

168 = 2(Length+41)

168/2 = Length + 41

84 = Length + 41

Length = 84 - 41

length = 43

Consequently, the length of the given square shape is 43 centimeters.

to know more about the perimeter click here:

brainly.com/question/10466285

#SPJ4