Which expression is equivalent to 3 the 5th power?

Answer:

1.4 ft

Step-by-step explanation:

Ok so first off you want to take the area(1.96) and divide it by your height(1.4)

This will get you B!(1.4)

Also since this is a square all the sides are equal!

Answer: b= 1.4

Step-by-step explanation:

Area = length x width

1.96 = “b” x 1.4

Since we have the area and one side of the box, we can rearrange the equation to find the missing side.

Since 1.4 is being multiplied on the right side of the equation, we must divide by 1.4 to remove it. Divide both sides by 1.4

1.96/1.4= b

b= 1.4

The correct answer is a) the probability of precipitation is 72%. and b)  the probability of precipitation is 2%.

The given formula to determine the probability of precipitation (PoP) is PoP = (C * A) * 100 percent where C represents the confidence that precipitation will occur somewhere in the forecasted area and A represents the percentage of the area that will receive measured precipitation if it occurs.

(a) If a forecaster expresses confidence that there is an 80% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 90% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 80%A = 90%PoP = (80% * 90%) * 100%

PoP = 72%.

Therefore, the probability of precipitation is 72%.

(b) If a forecaster expresses confidence that there is a 20% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 10% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 20%A = 10%PoP = (20% * 10%) * 100%PoP = 2%

Therefore, the probability of precipitation is 2%.

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Answer:

Exact: 16.6

Rounded: 17

Step-by-step explanation:

1 coach = 50 people                  (50 / 1 = 50 people)

2 coaches = 100 people            (100 / 2 = 50 people)

x coaches = 830 people            (830 / x = 50 people)

830 / x = 50

mutely both sides by x

830 / x * x = 50 * x

830 = 50x

divided both sides by 50 to get x alone

830 / 50 = 50x / 50

830/50 = x

16.6 couches needed to fit 830 people

To solve this exercise, we solve it by means of division:

If a coach has capacity for 50 people.

Therefore we divide 830 by 50:

        1 6. 6 ⇒ Answer

 5 0 | 8 3 0

         5 0

             3 3 0

            3 0 0

                3 0 0

                3 0 0

                0 0 0

Therefore, for 830 people, 16.6 coaches are needed.

\(\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}\)

Answer:

in the ordered pair, (0,4), the zero represents the x number, meaning that you would not move in any direction on the x axis( it stays on the origin). the 4 means you will move 4 units up the y axis. in the end you will have one point that in 4 units up from the origin.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

cos(-π) = -1 [in radians]

3-(-1) = 4

There are many ways to answer this but, I'll try to explain it.

You can see that you are computing a limit when some n approaches negative PI. You get to substitute negative PI instead of n and compute cos(-pi) which is -1.

Then compute f(x) - (-1) = 3 - (-1) = 4 which is a result.

The way you can imagine cos(-pi) or cos(-90deg) is by dragging point in a unit circle beneath x-axis and to the bottom y-axis (-90 angle), the y coordinate tells you the cosine value at (-90) and because you have dragged the point on the unit down to y-axis the value is -1.

Hope this helps.

Answer: 10/27

Step-by-step explanation:

To find the total of marbles, you will need to add all the amounts.

10 + 6 + 8+ 3= 27.

If there are 10 cordovan marbles, you will have a 10/27 probability of getting one.

The binary representations are a) 0.11000110, b) 0.10000010 and c) 0.10100000.

Let's convert the given real numbers to binary with 8 binary places after the radix point.

A. 0.11:

To convert 0.11 to binary, we can use the following steps:

Multiply 0.11 by 2:

0.11 × 2 = 0.22

Take the integer part of the result, which is 0, and write it down.

Multiply the decimal part of the result by 2:

0.22 × 2 = 0.44

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.44 × 2 = 0.88 (integer part: 0)

0.88 × 2 = 1.76 (integer part: 1)

0.76 × 2 = 1.52 (integer part: 1)

0.52 × 2 = 1.04 (integer part: 1)

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.11000110

Therefore, the binary representation of 0.11 with 8 binary places after the radix point is 0.11000110.

B. 0.51:

To convert 0.51 to binary, we can use the same steps:

Multiply 0.51 by 2:

0.51 × 2 = 1.02

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.02 × 2 = 0.04

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

0.64 × 2 = 1.28 (integer part: 1)

0.28 × 2 = 0.56 (integer part: 0)

0.56 × 2 = 1.12 (integer part: 1)

0.12 × 2 = 0.24 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10000010

Therefore, the binary representation of 0.51 with 8 binary places after the radix point is 0.10000010.

C. 0.625:

To convert 0.625 to binary, we can use the same steps:

Multiply 0.625 by 2:

0.625 × 2 = 1.25

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.25 × 2 = 0.50

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.50 × 2 = 1.00 (integer part: 1)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10100000

Therefore, the binary representation of 0.625 with 8 binary places after the radix point is 0.10100000.

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After answering the presented question, we may conclude that  So the surface area of the ramp, including the front and sides, is 42 square feet.

The surface area of an object indicates the overall space occupied by its surface. The surface area of a three-dimensional form is the entire amount of space that surrounds it. The surface area of a three-dimensional form refers to its full surface area. By summing the areas of each face, the surface area of a cuboid with six rectangular faces may be computed. As an alternative, you may use the following formula to name the box's dimensions: 2lh + 2lw + 2hw = surface (SA). Surface area is a measurement of the total amount of space occupied by the surface of a three-dimensional object (a three-dimensional shape contains height, breadth, and depth).

To find the surface area of the ramp, we need to calculate the area of each face and add them up.

The front face is a rectangle with dimensions 6 ft by 4 ft, so its area is:

Area of front face = length * width = 6 ft * 4 ft = 24 ft²

The two side faces are right triangles with base 6 ft and height 3 ft. The area of each triangle is:

Area of one side face = 1/2 * base * height = 1/2 * 6 ft * 3 ft = 9 ft²

Since there are two side faces, the total area of the side faces is:

Area of side faces = 2 * Area of one side face = 2 * 9 ft² = 18 ft²

Therefore, the total surface area of the ramp is:

Surface area = Area of front face + Area of side faces = 24 ft² + 18 ft² = 42 ft²

So the surface area of the ramp, including the front and sides, is 42 square feet.

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Yeah... they should.

We evaluated the function and we got

                                 \(h(-2)=-14\\h(0)=0\\h(2)=6\)

Let us evaluate that function for \(x = -2\)

 We can substitute the value of \(x\) in the given expression      

                                      \(h(-2)=5(-2)-(-2)^{2}\)

                                                 \(=-10-4\\=-14\)

                                      \(h(-2)=-14\)

Now, we can evaluate the function for \(x=0\)

Let's substitute the value of \(x\) in the given expression

                              \(h(0)=5(0)-0^{2} \\h(0)=0\)

Now, we can evaluate the function for \(x=2\)

Let's substitute the value of \(x\) in the given expression

                              \(h(2)=5(2)-2^{2} \\h(2)=10-4\\h(2)=6\)

Hence, we evaluate the function

            \(h(-2)=-14\\h(0)=0\\h(2)=6\)

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The concentration of the compound at t = 1.00 minute is 0.164 M, which is less than the maximum concentration.

The concentration of a chemical compound, C (mol/L), varies over time, t (min), according to the equation C = 3.00 exp(-1.80 t).

We must find the concentration at t=0 and t=1.00 min by using the formula. When t = 0, we substitute the value into the equation, and we obtain a value of 3.00 M.

It means that at the beginning, the concentration of the compound is 3.00 M. This is the maximum value of the concentration since the exponential function will always decrease over time.

As time goes by, the concentration decreases. When t = 1.00 minute, we substitute the value into the equation, and we obtain a value of 0.164 M.

This implies that at t=1.00 minute, the concentration of the chemical compound is 0.164 M. The concentration of the compound will continue to decrease over time as the exponential function approaches zero.

The exponential function C = 3.00 exp(-1.80 t) shows how the concentration of a chemical compound varies with time. The maximum value of the concentration is 3.00 M when t = 0. The concentration of the compound at t = 1.00 minute is 0.164 M, which is less than the maximum concentration. The exponential function will continue to decrease as time passes, causing the concentration to decrease.

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The least distance traveled is \($240\sqrt{3}$\) feet.

Each boy shakes hands with the two boys who are not adjacent to him on the circle. Since there are six boys in total, each boy shakes hands with four other boys. We can represent these handshakes on a graph, where the six vertices represent the six boys and the edges represent the handshakes. Each vertex has degree 4, meaning that there are 12 edges in total.

To minimize the distance traveled, each boy should simply walk directly across the circle to shake hands with the two boys on the opposite side. This way, each boy walks a distance equal to the diameter of the circle, which is \(2 \times 40 = 80$ feet.\)

Since there are six boys, the total distance traveled is \(6 \times 80 = 480$ feet\). However, we have counted each handshake twice, so we need to divide by 2 to get the total distance traveled. This gives us \(240$ feet.\)

To express this answer in the simplest radical form, we can use the fact that an equilateral triangle with side length \(s$\) has height \(s\sqrt{3}/2$\). The six handshakes form an equilateral triangle with side length 80, so its height is \(80\sqrt{3}/2 = 40\sqrt{3}$ feet\). Therefore, the total distance traveled is \(240\sqrt{3}$\) feet.

Therefore, the correct answer is \(240\sqrt{3}$\)feet.

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The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

\(13.51\ \text{s}\)

Step-by-step explanation:

\(s\) = Average speed of Sandra = \(7.4\ \text{m/s}\)

\(d\) = Distance Sandra ran = \(100\ \text{m}\)

Time is given by

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

\(\Rightarrow t=\dfrac{100}{7.4}\)

\(\Rightarrow t=13.51\ \text{s}\)

The time it takes Sandra to run the given distance is \(13.51\ \text{s}\).

a. The sampling method that I would use for the given scenario is stratified random sampling.

b. The sampling method that I would use for the given scenario is systematic sampling.

Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.

In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.  

Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.

EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.

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Answer: 12 snails

Step-by-step explanation:

In the given graph G, the vertices are represented by the integers 1 through 8. An undirected graph is a mathematical structure where vertices are connected by edges that have no specific direction. The connectivity of the graph is determined by the adjacent vertices of each vertex.

To understand the connectivity of the graph, we can refer to the table below:

Vertex | Adjacent Vertices

-------|-----------------

1      | 2, 3, 4

2      | 1, 3, 4

3      | 1, 2, 4, 5

4      | 1, 2, 3, 6

5      | 3, 6, 7

6      | 4, 5, 8

7      | 5, 8

8      | 6, 7

From the table, we can observe that each vertex is connected to other vertices based on the adjacent vertices listed. For example, vertex 1 is adjacent to vertices 2, 3, and 4. Similarly, vertex 2 is adjacent to vertices 1, 3, and 4. This pattern continues for all the vertices.

The graph G can be visualized as a network of interconnected points, where each point represents a vertex, and the connections between them represent the edges. The connectivity of the graph provides information about how the vertices are related to each other and how they can be reached from one another.

Understanding the structure and connectivity of a graph is essential in various fields, such as computer science, network analysis, and data visualization. Graph theory, the branch of mathematics that deals with graphs, provides a powerful framework for analyzing and solving problems related to connectivity and relationships in various systems.

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The total ways in which the student can readd the books are 1512 ways.

What is Combination?

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant (unlike permutations).

Solution:

Since reading 2 american novels is compulsory

The student therefore needs to read only two more novels

It can be either American Novels or English Novels

Ways to read American Novel = 7C2

Ways to read English Novel = 7C2

Total Ways = 9C2 * (7C2 + 7C2)

Total Ways = 36 * (42)

Total Ways = 1512 ways

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Answer:

Disagree ΔABC ≅ ΔDEC by ASA butt by SAS

Step-by-step explanation:

point C is the midpoint of (A/E), C is also the midpoint of (B/D )

BC = CD   and AC = CE

∠BCA = ∠ECD

ΔABC ≅ ΔDEC by SAS not by ASA

Answer:

29.87 metros cuadrados

Step-by-step explanation:

Dados los siguientes datos;

Área de tierra = 35.72 yardas cuadradas

Para encontrar el área del terreno en metros cuadrados;

Para hacer esto, tendríamos que convertir el valor en yardas cuadradas a metros cuadrados.

Conversión:

1 yarda cuadrada = 0.8361 metros cuadrados

35.72 yardas cuadradas = X metros cuadrados

Multiplicación cruzada, tenemos;

X = 35.72 * 0.8361

X = 29.87 metros cuadrados

Por lo tanto, el área del terreno en metros cuadrados es 29,87.

The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.

What means binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.

For each random variable X, the binomial distribution formula is given by;

P(x:n,p) = nCx px (q)n-x

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of Success in a single experiment

q = Probability of Failure in a single experiment = 1 – p

formula for finding standard deviation of a binomial distribution is npq. f.

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Total cost of energy drinks ($4.50) = y

Total number of energy drinks (3) = x

Equation = ?

To find this we need to find the cost of 1 drink = 4.50 ÷ 3 = $1.50.

So, the equations are :-

y = 1.50x

x = 4.50/y

_____

Yes, your answer is correct :)

You can use the 2nd equation too.

______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

Step-by-step explanation:

Take 17 away from 1:00 = 12:43

Take 17 away from 1:43 = 1:26

Take 17 away from 2:26 = 2:09

Take 17 away from 3:09 = 2:52

There we are: at the time which the watch says now.

Now let's see what the correct time should be:

at 12:43 it is really 1:00

at 1:26 it is really 2:00

at 2:09 it is really 3:00

at 2:52 it is really 4:00

However, it says the watch stopped 6 hours ago meaning that the time should be 10:00 as 4 + 6 = 10.

Using translation concepts, it is found that the ordered pair of the final point is given by:

D. (5,4).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this situation, considering that we start at point (5,4), the translations are as follows:

It ends at the starting point, hence option D is correct.

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Answer:

D

Step-by-step explanation:

D is on the same plane as A, B, and C

He has exceeded the 20% equity threshold. He is exempt from paying PMI because his present equity is 38.38%.

Once your property has 20% equity, you can often ask to cease paying PMI after you've purchased it. When your equity reaches 22%, PMI is frequently immediately terminated. Only conventional loans are subject to PMI. Mortgage insurance for other sorts of loans frequently comes in different forms.

calculation

calculating the equivalent monthly payments

282,000 is the principal, and 5% each year, or 0.416667% per month, or 0.00416667, is the rate of interest. There are 360 installments total (30 years X 12)

Total monthly payments equal 1513.84 for the equated monthly mortgage and 299.17 for the PMI, for a total of $1,813.01 for the equated monthly mortgage and PMI.

He must continue paying the PMI until he gets 20% equity. now calculate his equity percentage.

He has exceeded the 20% equity threshold. He is exempt from paying PMI because his present equity is 38.38%.

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ANSWER

Option B

EXPLANATION

We want to find the graph that represents the exponential function given:

To do this, we simply have to check for which of the graphs has the correct y-intercept. The y-intercept is the point where the graph touches the y-axis.

We can calculate the y coordainte of the y-intercept from the given function by finding the value of f(x) when x = 0.

That is:

Hence, the y-intercept is (0,4).

Therefore, the correct answer is Option B.

43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

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The mean and standard deviation of the sample proportion are 0.2 and 0.04. The correct option is 0.2 and 0.04.

Based on the information provided, we can infer that the random samples of size 100 were taken from an infinite population with a population proportion of 0.2. This means that 20% of the population exhibits a certain trait or characteristic of interest.

The mean of the sample proportion is also 0.2, which is the same as the population proportion. This suggests that the sample is representative of the population and that the sample was drawn randomly.

The standard deviation of the sample proportion is 0.04, or 4%. This indicates that there is some variability in the sample proportions. However, it is not too high and suggests that the sample is reliable and consistent.

In conclusion, based on the mean and standard deviation of the sample proportion, we can say that the sample is representative of the population and that the estimates obtained from the sample are reliable and accurate. It is important to note that the size of the sample is relatively large (100) and this helps to increase the accuracy and precision of the estimates. The correct option is 0.2 and 0.04.

The complete question is;

Random samples of size 100 are taken from an infinite population whose population proportion is 0.2. The mean and standard deviation of the sample proportion are

0.2 and .04

0.2 and 0.2

20 and .04

20 and 0.2

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The equation for the highest pitch heard by bats can be determined using the given information.

We know that the frequency of the pitch is 120,000 cycles per second. The formula for frequency is frequency = cycles / second. Let's substitute the given value into the formula:

frequency = 120,000 cycles / 1 second

Now, since period and frequency are reciprocals of each other, we can find the period by taking the reciprocal of the frequency:

period = 1 / frequency

Substituting the given frequency value into the equation:

period = 1 / 120,000 cycles/second

Simplifying the equation, we get:

period = 1 / 120,000 seconds/cycle

Therefore, the equation for the highest pitch heard by bats is period = 1 / 120,000 seconds/cycle.

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