which law would you use to simplify the expression (p/q)^3

Randy should begin his homework by 07:10 in order to sleep by 10:00

The given parameters are:

If the above activities are done, the time spent would be:

Time = 45 minutes + 40 minutes + 1 hour and 15 minutes + 10 minutes

Add the time

Time =  2 hour and 50 minutes

He wants to go to bed by 10:00.

So, the time to begin his homework is:

Begin = 10:00 - 2 hour and 50 minutes

Evaluate the difference

Begin = 07:10

Hence, Randy should begin his homework by 07:10

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

Answer:

Your wrong, it’s B.

X axis = Number of Bottles of water sold

Y axis = Number of dollars collected

So, (x,y)

That means, (Number of Bottles of water sold,Number of dollars collected)

Finally, (10,20) means he sold 10 bottles of water for $20.

Hope that helped!

Step-by-step explanation:

anwers:

B: cameron sells 10 bottles of water for $20

The height of the pile increasing at the rate of  0.0039 feet/minute when the base radius is 6 feet.

Rate of sand dropping dv/dt = 12 cubic feet/minute

dv/dt = 12 cubic feet/ min

A conical pile whose altitude is 2/3 of the radius of the base,

h= (2/3) r

or r = (3/2)h

Volume of a cone = (1/3) π \(r^{2} h\)

v = (1/3) π × \((3h/2)^{2}\) × h

v = (3/4) π × \(h^{3}\)

Differentiating both sides w.r.t. t ,

dv/dt =(9/4) π × h^2 dh/dt

dh/dt = ( 4 / (9(π × h^2)) ) dv/dt

dh/dt at h= 6 feet

dh/dt = {4/(9(π × 36))}(10)

dh/dt = {1/(9 π × 9)}

dh/dt = 1/{254.34}

dh/dt = 0.0039 feet/minute

Thus, we can conclude that  the height of the pile increasing at the rate of  0.0039 feet/minute.

To know more about Volume of Cone refer to the link:

https://brainly.com/question/1082469

#SPJ4

The point E' will have a y-value of -1 instead of 3 and x-value of 6 instead of -6.

A polygon is a two-dimensional shape composed of straight line segments that close in a loop to form a single shape. Generally, polygons have three or more sides and angles. Depending on the number of sides, polygons can be classified as triangles, quadrilaterals, pentagons, hexagons, and so on.

A reflection across the x-axis of the graph of polygon ABCDE with point E at (-6,3) would result in the creation of a second polygon A'B'C'D'E' with E' at (-6,-1). This is because the reflection flips the points across the x-axis, meaning all of the y-values of the points will be converted to the opposite sign. Therefore, in the new polygon, point E' will have a y-value of -1 instead of 3. This is because the reflection across the x-axis will cause the y-values of each point to flip signs, with the y-value of E increasing from -3 to -1.

Similarly, a reflection across the y-axis of polygon ABCDE with point E at (-6,3) would result in the creation of polygon A'B'C'D'E' with E' at (6,1). This is because the reflection flips the points across the y-axis, meaning all of the x-values of the points will be converted to the opposite sign. Therefore, in the new polygon, point E' will have an x-value of 6 instead of -6. This is because the reflection across the y-axis will cause the x-values of each point to flip signs, with the x-value of E increasing from -6 to 6.

To know more about pentagon,

https://brainly.com/question/12974185

#SPJ1

Answer:

Reflection across y = 1

Step-by-step explanation:

i got this right on the flvs test!

Answer:

A, B, and D

Step-by-step explanation:

Answer:

This is part of a wider question with less details.

1.

The volume is the function of three dimensions.

The model has each dimension 6 times smaller.

The volume of the model will be:

2.

Using the above information we can say that:

3.

No info is given regarding the shape of the tank, so can't answer this.

The third pair [(1+2i)(1-2i)] have a real number product and other pairs have complex number.

According to the statement

we have given Following are the pairs of the complex number:

(1+2i)(8i),

(1 + 2i)(2 – 5i)

(1+2i)(1-2i) and (1+2i)(4i)

We have to check which pair out of these is a real number product, which means which pair do not contain terms consisting of "i".

So, For this purpose

we have to multiply these pairs with each other.

So,

(1+2i)(8i) = 8i +16(i)^2

And

(1 + 2i)(2 – 5i) = 2 +4i - 5i +10(i)^2

And

(1+2i)(1-2i) = 1 -4(i)^2 -2i +2i = 1+4 = 5

And

(1+2i)(4i) = 4i + 6(i)^2

From these multiplication we found that the third pair have a real number product.

So, The third pair [(1+2i)(1-2i)] have a real number product and other pairs have complex number.

Learn more about Complex Number here https://brainly.com/question/10662770

#SPJ4

Answer:

Marcus score is 13.7, the mean is 12.89, and the standard deviation is 1.95, so I’ll do ( 13.7 – 12.89)/ 1.95, Since Marcus' z-score is 0.415. The area to the left of the z-score is 65.9% so therefore Marcus did scored better than 65.9% of the students. So Marcus needs to score 98% better of all the other students in order for him to receive an actual certificate.

Step-by-step explanation:

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.

Go through the given link below to know more about differentiation:-

https://brainly.com/question/954654

#SPJ4

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

According to the SSS rule, two triangles are considered to be congruent if the corresponding three sides of each triangle are equal to each other.

The triangles are congruent if all three sets of comparable sides are present.

The side-side-side shortcut is a congruence technique (SSS).

Side-angle-side (SAS), which uses two sets of sides and an angle between them that is known to be congruent, is another shortcut.

Therefore, according to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

Know more about the SSS condition here:

https://brainly.com/question/3999145

#SPJ4

Answer:

Step-by-step explanation:0.18

Answer:

stop rushing me aaaaaaaaaahhhhhhhh

Step-by-step explanation:

Answer:

-0.8, -8/10

Step-by-step explanation:

The Genotype frequency is the percentage of the total number of individuals represented by a genotype.

The student population will most likely not match the US population figures. The data for the US population comes from a much larger sample and better represents the rates expected for a large heterogeneous population.

Since your class data represents a much smaller sample size, the allele frequencies will most likely be different. The frequency of the AA genotype is determined by the square of the frequency of the A allele.

The frequency of genotype Aa is obtained by multiplying the frequency of A times the frequency of A twice. The frequency of aa is the square of a. Try replacing p and q with other values, just making sure p and q are still 1.

To know more about Genotype frequency,

brainly.com/question/28603344

#SPJ4

Answer:

  (a)  1/5

Step-by-step explanation:

The scale factor multiplies each coordinate of the preimage to give the corresponding image coordinate.

Let the scale factor be represented by k. Then we have ...

  G'(2, 2) = k×G(10, 10)

For the x-coordinates, this is ...

  2 = k×10

  2/10 = k = 1/5 . . . . . . divide by the coefficient of k

Similarly, for the y-coordinates, ...

  2 = k×10

  2/10 = k = 1/5

(We expect the x- and y-scale factors to be the same.)

The scale factor is 1/5.

__

Additional comment

If the scale factor were -1/5, point G' would be ...

  G' = (-1/5)G = (-1/5)(10, 10) = (-2, -2)

This is the location of J', on the other side of the origin from G.

A negative scale factor not only changes the scale, but also reflects across the center of dilation.

The probability of a randomly selected flight from Chicago to Champaign being on time is 0.73 or 73% and the probability that it is snowing in Chicago given that the flight is on time is approximately 32.88%..

To calculate the probability of a randomly selected flight from Chicago to Champaign being on time, we need to use the law of total probability by considering the probability of each weather condition in Chicago and its corresponding probability of the flight being on time.

We can calculate the probability of the flight being on time when it is sunny in Chicago as follows:

0.5 (probability of sunny weather) x 0.8 (probability of on-time flight in sunny weather) = 0.4

Similarly, we can calculate the probability of the flight being on time when it is rainy and snowy in Chicago:

0.1 (probability of rainy weather) x 0.9 (probability of delayed flight in rainy weather) = 0.09

0.4 (probability of snowy weather) x 0.6 (probability of delayed flight in snowy weather) = 0.24

Then, we can sum up the probabilities of on-time flights under all weather conditions:

0.4 + 0.09 + 0.24 = 0.73

The symbolic expression for the probability that it is snowing in Chicago given that the flight is on time is P(Snowing|On time). We can use Bayes' theorem to calculate this probability as follows:

P(Snowing|On time) = P(On time|Snowing) x P(Snowing) / P(On time)

We have already calculated P(On time) to be 0.73. The probability of the flight being on time when it is snowing in Chicago is 0.6, and the probability of snowing weather is 0.4. Thus, we can substitute these values into the formula:

P(Snowing|On time) = 0.6 x 0.4 / 0.73 = 0.3288 or 32.88%.

To learn more about probability click on,

https://brainly.com/question/15237224

#SPJ4

The value of the car after 8 years is given as follows:

$10,836.76.

An exponential function has the definition presented as follows:

\(y = ab^\frac{x}{n}\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

a = 86000, n = 5, b = 1 - 0.726 = 0.274.

Hence the function for the value of the car after x years is given as follows:

\(y = ab^\frac{x}{n}\)

\(y = 86000(0.274)^\frac{x}{5}\)

The value of the car after 8 years is then given as follows:

\(y = 86000(0.274)^\frac{8}{5}\)

y = $10,836.76.

More can be learned about exponential functions at brainly.com/question/2456547

#SPJ1

The hospital must cut the number of overtime hours by approximately 2.91% in order to stay within budget.

To determine the required percentage reduction in overtime hours, we need to consider the impact of the nurses' hourly rate increase and the limited budget increase for overtime wages.

Let's assume the current budget for nurses' overtime wages is denoted by B, and the total number of overtime hours worked is denoted by H. The current overtime rate per hour is R.

With the 5% hourly rate increase, the new overtime rate per hour becomes 1.05R. Considering the limited budget increase of 3%, the new budget for overtime wages is 1.03B.

To calculate the required percentage reduction in overtime hours, we can set up the following equation:

(1.05R) * (1 - x) * H = 1.03B

where x represents the required percentage reduction in overtime hours.

Simplifying the equation, we have:

(1 - x) * H = (1.03B) / (1.05R)

Now, let's solve for x:

1 - x = (1.03B) / (1.05R * H)

x = 1 - [(1.03B) / (1.05R * H)]

Here, we can see that the required percentage reduction in overtime hours, represented by x, depends on the values of B, R, and H.

It's important to note that without knowing the specific values of B, R, and H, we cannot calculate the exact percentage reduction. However, based on the provided information, we can determine the maximum percentage reduction that the hospital must make to stay within budget.

By assuming that B, R, and H are constant, we can use the given constraints to calculate an approximate percentage reduction. Based on the constraints of a 3% budget increase and a 5% hourly rate increase, the hospital would need to reduce the number of overtime hours by approximately 2.91% to maintain a balanced budget.

Please keep in mind that this approximation may vary depending on the specific values of B, R, and H.

Learn more about budget here

https://brainly.com/question/29154668

#SPJ11

Answer:

its B

Step-by-step explanation:

The sign of displacement is negative.

Displacement: It is defined as the change in the position of an object. It is a vector quantity, means it has both direction and magnitude. It is the shortest distance between two position of an object.

It is the difference between final and the initial position of an object.

Initial position, \(x_i\) = 5m

Final position, \(x_f\) = 3m

Displacement, \(d = x_f - x_i\)  = (3 - 5)m

= -2m

negative sign shows that the direction of the an object is towards negative x-axis.

For more information on displacement, visit:

https://brainly.com/question/321442

#SPJ4

The value of y in the right triangle is 9.3 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the value of y in the right angle triangle.

Using trigonometric ratios,

sin 51 = opposite / hypotenuse

sin 51 = y / 12

cross multiply

12 sin 51  =y

y = 12 × 0.77714596145

y = 9.32575153748

y = 9.3 units

learn more on right triangle here: brainly.com/question/28975129

#SPJ1

The statement "The corresponding angles of ΔDEF and ΔD'E'F' are congruent" is NOT true.

In a dilation, corresponding angles of the original and dilated figures remain congruent. However, the statement mentioned above is specifically asking for the option that is NOT true. So, we need to identify the false statement among the given options.

The possible options are:

1.The corresponding sides of ΔDEF and ΔD'E'F' are proportional.

2.The corresponding angles of ΔDEF and ΔD'E'F' are congruent.

3.The scale factor of the dilation is greater than 1.

4.ΔDEF and ΔD'E'F' have the same shape.

Since we are looking for the option that is NOT true, we can conclude that option 2 is the correct answer. The corresponding angles of ΔDEF and ΔD'E'F' are not necessarily congruent after a dilation. While corresponding angles in similar figures are congruent, in a dilation, the angles may change in size. Therefore, option 2 is the statement that is NOT true in this scenario.

Learn more about congruent here:

https://brainly.com/question/30596171

#SPJ11

Answer:

Step-by-step explanation:

total number of students=42

2x+3x+4x-1+x+x-2+x-3=42

12x-6=42

12x=42+6

12x=48

x=48/12

x=4

Answer:

a

Step-by-step explanation:

a

Answer:

0-a/c-0 = -a/c

Step-by-step explanation:

Answer:x − x^{2} − 1.

Step-by-step explanation:

.

The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

For more such questions on triangle

https://brainly.com/question/1058720

#SPJ8