May I get some help on this please?

Using proportions, it is found that the rate of water flow was of 6 miles per hour.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the bottle flowed 1 mile in 10 minutes. How much does it flow in 1 hour = 60 minutes? The rule of three is given by:

1 mile - 10 minutes

x miles - 60 minutes

Applying cross multiplication:

10x = 60

x = 60/10

x = 6.

Hence, the rate of water flow was of 6 miles per hour.

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Step-by-step explanation:

using long division..........

Answer: y=16 3

Step-by-step explanation:

y= 4/3 +4

12+3

y= 16/3

Answer:

Faraday's law of induction is a basic law of electromagnetism predicting how a magnetic field will interact with an electric circuit to produce an electromotive force —a phenomenon known as electromagnetic induction.

Step-by-step explanation:

Answer:

(c) is correct.

Step-by-step explanation:

When two lines cross each other, the angles opposite to each other are called vertically opposite angles. They are always equal.

In this given figure,

Line TW and RU cross each other at Q, it means

\(\angle RQW=\angle TQU\) (vertically opposite angles)

Hence, the correct option is (c).

Answer:

8

Step-by-step explanation:

1+2+3=6

4+5+6=15

15-6=9-1=8

Fraction of the area of the circle is the area of the shaded region is 5/18.

From the figure:

The shaded region has angle = 100

In the circle the total angle is 360.

Fraction = 100/360

= 50/180

= 25/90

= 5/18

Therefore fraction of the area of the circle is the area of the shaded region is 5/18.

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Answer:

 2 • (x2 + 5x + 73)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant

Step-2 : Find two factors of  73  whose sum equals the coefficient of the middle term, which is   5

Pulling out like terms/factors

Trying to factor by splitting the middle term

Answer: 2 • (x2 + 5x + 73)

Hope this helps.

Answer:

2x^2 + 10x + 146

Step-by-step explanation:

x^2 + 121 + (x+5)^2

x^2 +121 + (x+5)(x+5)

x^2 + 121 + x^2 + 5x + 5x + 25

2x^2 + 10x + 146

Answer:

y=1/3x+4

Step-by-step explanation:

Answer:

18 units

Step-by-step explanation:

First, -9 to 0 is 9 units.  Next 0 to 9 is also 9 units.  Added up, this gives a total of 18 units.

Hope this helps! :)

Answer:

18

Step-by-step explanation:

You can do this two ways:

From -9 to 0, the distance is 9 units.

From 0 to 9, the distance is 9 units.

Add the two distances together, and you get 18 units.

You can also do this with the distance formula for a number line.

The distance, d, between numbers a and b on the number line is:

d = |a - b|

Our numbers are -9 and 9. It does not matter which number you call a and which you call b. Since the expression has absolute value in it, the answer will always come out non-negative.

d = |-9 - 9| = |-18| = 18

If you do it the other way, you get:

d = |9 - (-9)| = |9 + 9| = |18| = 18

Answer:

  perimeter = 16 ft

Step-by-step explanation:

You want the perimeter of an isosceles triangle with side length 5 ft and altitude 4 ft.

The side lengths being equal mean the triangle is isosceles. That also means altitude PS bisects the peak angle and segment QR. Once we find the length QS using the Pythagorean theorem, we can double that measure to find QR.

The Pythagorean theorem tells us ...

  QS² +PS² = QP²

  QS² +(4 ft)² = (5 ft)²

  QS² = (25 ft²) -(16 ft²) = 9 ft² . . . . . evaluate squares, subtract 16 ft²

  QS = √(9 ft²) = 3 ft

Now we know the base length is ...

  QR = 2·QS = 2(3 ft) = 6 ft

The perimeter is the sum of the outside edge lengths:

  Perimeter = PQ +QR +RP

  Perimeter = (5 ft) +(6 ft) +(5 ft) = 16 ft

The perimeter of ∆PQR is 16 feet.

__

Additional comment

With some practice, you can learn to recognize a 3-4-5 right triangle. That is the triangle used here for each of the right triangles that make up ∆PQR. Once you identify the long side as 4 and the hypotenuse as 5, you know immediately the short side is 3.

The set {3, 4, 5} is called a "Pythagorean triple." Other triples commonly seen in high school problems are {5, 12, 13}, {7, 24, 25}, {8, 15, 17}. Legs of these lengths form a right triangle. Knowing any two (or their ratio) tells you immediately the value of the third. Of course, these triples can be scaled by any factor. (3, 4, 5) scaled by 2 is (6, 8, 10), another commonly seen triple.

There are no isosceles right triangles that have integer values for both the legs and the hypotenuse. If the legs are both 4, the hypotenuse will be 4√2 ≈ 5.657... (an irrational number), not 5.

The product of 2/3y and y is \(2/3y^2.\)

The product of 2/3y and y can be found by multiplying the numerators and denominators separately.

To multiply the numerators, we multiply 2 and 1 (since y can be written as y/1).

This gives us 2.

To multiply the denominators, we multiply 3y and 1.

This gives us 3y.

Therefore, the product of 2/3y and y is \(2/3y * y =\)  \(2/3y^2.\)

In general, when multiplying fractions, we multiply the numerators and the denominators separately.

So, if we have a fraction a/b and another fraction c/d, their product would be ac/bd.

However, in this specific case, the expression can be simplified further.

Since we have y in both the numerator and denominator, they cancel out, leaving us with  \(2/3y^2.\)

To summarize, the product of 2/3y and y is  \(2/3y^2.\)

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Answer:

I don't really understand what you're asking but, m<C equals 90⁰, and i think angle A's measurement says 0⁰, so I'm guessing you have to find angle B?

Answer:

B

Step-by-step explanation:

The explanation is attached below.

the flow curve expresses the behavior of a metal in plastic region of the stress strain curve.

When a sample is exposed to various shear rates or shear stressors, the change in shear viscosity is graphically shown by a flow curve.

A flow curve is a measurement performed on a rotating viscometer or rheometer in which the shear rate is increased stepwise and the corresponding shear stress is calculated for each shear rate. The characteristics of the instrument are used to compute the associated shear stress and viscosity.

Thus, the flow curve expresses the behavior of a metal in the plastic region of the stress strain curve.

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Answer:

i cant see the pic

Step-by-step explanation:

Answer:

532 m

Step-by-step explanation:

18 x 18 = 324

1/2(16)(18) = 144

1/2(8)(16) = 64

324 + 144 + 64 = 532

Answer:

What help you need from us?????

Answer:

I think the answer is 6

Step-by-step explanation:

but it could also be 5 since its the lowest number. But if its goin based of the amount of data it should be 6

Answer:

1. 1, 2, 3, 4, or 5

2. as long as it is -4, -5, -6, -7, and so on

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

\( (3x,\: x +1)=(x_1, \:y_1) \)

\( (11,\: 12)=(x_2, \:y_2) \)

\(slope = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ 4 = \frac{12 - (x + 1)}{11 - 3x} \\ \\ 4 = \frac{12 - x - 1}{11 - 3x} \\ \\ 4 = \frac{11 - x}{11 - 3x} \\ \\ 4(11 - 3x) = 11 - x \\ \\ 44 - 12x = 11 - x \\ \\ 44 - 11 = 12x - x \\ \\ 33 = 11x \\ \\ x = \frac{33}{11} \\ \\ \huge \red{ \boxed{x = 3}}\)

Answer:

C and B

Step-by-step explanation:

(6)

\(\frac{3x-7y}{8}\) × \(\frac{6}{3x-7y}\) ← cancel 3x - 7y on numerator and denominator

= \(\frac{1}{8}\) × \(\frac{6}{1}\) = \(\frac{6}{8}\) = \(\frac{3}{4}\) → C

(7)

\(\frac{6x}{x^2-9}\) ÷ \(\frac{8}{4x-12}\)

Factorise the denominators of both fractions

x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares

4x - 12 ← factor out 4 from each term

= 4(x - 3)

Then rewrite as

\(\frac{6x}{(x-3)(x+3)}\) ÷ \(\frac{8}{4(x-3)}\) ← cancel 8 and 4 by 4

= \(\frac{6x}{(x-3)(x+3)}\) ÷ \(\frac{2}{x-3}\)

• leave first fraction, change ÷ to × , turn second fraction ' upside down'

= \(\frac{6x}{(x-3)(x+3)}\) × \(\frac{x-3}{2}\) ← cancel x - 3 on numerator and denominator

= \(\frac{6x}{x+3}\) × \(\frac{1}{2}\) ← cancel 2 and 6 on numerator and denominator

= \(\frac{3x}{x+3}\) → B

Answer:The equation of that is y=kx

Substitute it in and you get

20=6k

Divide 6 on both sides

k=3 1/3

Then since it asks what is the value of y when x is 24 use k in the equation

y=3 1/3*24

so y=80 is the answer

Step-by-step explanation:

Answer:

direct relation between distance travelled by a train and its speed, when time is constant.

Step-by-step explanation:

We know that the speed of an object is the total distance covered divided by total time taken. Mathematically, it is given by :

\(v=\dfrac{d}{t}\)

Where

d is distance

t is time taken

It can be seen that relation between the distance and the speed is direction. Hence the correct option is (a) "direct".

Inverse laplace transform of Y(s) is:  \(y(t) = [(t/3)e^(-2t) + (1/3)cos(3t)] u(t)\) for the differential equation.

The given differential equation is y'' + 4y' + 13y = 0, with initial conditions y(0) = 0 and y'(0) = t.

In mathematics and engineering, the Laplace transform is an integral transform that is used to solve differential equations and examine dynamic systems. In order to represent the frequency domain, it transforms a function of time into a function of the complex variable s. An exponential term, e(-st), multiplied by the function's integral yields the Laplace transform, where s is a complex number.

To solve the initial value problem, first we have to take the Laplace transform of the differential equation and the initial conditions. Laplace transform of y'' is given as \(s^2Y(s) - sy(0) - y'(0)\)

Laplace transform of y' is given as sY(s) - y(0)

We get: Laplace transform of y'' + 4 Laplace transform of y' + 13Laplace transform of y = Laplace transform of (0)

We get: \(s^2Y(s) - st - 1 + 4(sY(s) - 0) + 13Y(s) = 0=>\\\\ s^2Y(s) + 4sY(s) + 13Y(s) = st + 1Y(s)(s^2 + 4s + 13) = \\\\st + 1Y(s) = (st + 1) / (s^2 + 4s + 13)\)

Now we need to take the inverse Laplace transform of Y(s) to get the solution of the initial value problem. For that, we need to factorize the denominator as \(s^2 + 4s + 13 = (s + 2)^2 + 9\)

By partial fraction method, we can write the equation asY(s) = \((st + 1) / (s^2 + 4s + 13) = \\(st + 1) / [(s + 2)^2 + 9]=\\ [(t/3)(s + 2) + (1/3)] / [(s + 2)^2 + 9]\)

Taking inverse Laplace transform of Y(s), we get: \(y(t) = [(t/3)e^(-2t) + (1/3)cos(3t)]\) u(t)Where u(t) is the unit step function.

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in order:

y=6

y=16

y=26

y=31

The probability that the drill bit will fail before 10 hours of usage is approximately 0.8.


The Weibull distribution is given by the cumulative distribution function (CDF) as follows:

F(t) = 1 - e^(-(t/B)^a)

Where F(t) is the probability of failure before time t, a is the shape parameter, B is the scale parameter, and e is the base of the natural logarithm.

In this case, a = 2 and B = 50. We want to find the probability that the drill bit will fail before 10 hours, so we will use t = 10:

F(10) = 1 - e^(-(10/50)^2)

Step-by-step calculation:
1. Calculate (10/50)^2: (0.2)^2 = 0.04
2. Calculate -(0.04): -0.04
3. Calculate e^(-0.04): 0.9607894391523232
4. Calculate 1 - 0.9607894391523232: 0.03921056084767683


The probability that the drill bit will fail before 10 hours of usage is approximately 0.8 (option d). Note that the calculated probability (0.0392) is much lower than the options given. However, the closest option to the calculated value is 0.8.

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The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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Answer: The answer is 22

Step-by-step explanation: you divide the 36 and the 9 to get 4 then you add the 18 and the 4 to get 22

Answer:

22

Step-by-step explanation:

\(18+(\frac{36}{9})=?\\ 18+4=?\\22=?\)

Answer:

answer a

Step-by-step explanation: cause it will equal up and it has to be negitive on answer so u divided it and youll get a

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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