Solve the question justify each step check your solution 4q=52

Answer:

36 mph.

Step-by-step explanation:

Speed is a rate. It can be represented as the distance traveled/the time spent traveling.

\(s=d/t\)

In this problem, we know the distance and the time. All that needs to be done is some conversion and then plugging in.

In the problem, we know that Wendy travels 12 miles in 20 minutes. But to get her speed in miles per hour, we need to convert 20 minutes into hours.

To do this, let's set up a quick proportion. Let's call the number of hours in 20 minutes x.

I\(\frac{20minutes}{xhours}=\frac{60 minutes}{1 hour}\)

If there are 60 minutes in an hour, then there are 20 minutes in 1/3 of an hour.

Now we can plug 1/3 hours in.

\(s=\frac{12}{1/3}\)

This is the same as saying

\(s=12*3\)

\(s=36\)

The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

The equation that has an infinite number of solutions is \(2x + 3 = \frac{1}{2}(4x + 2) + 2\)

An equation that has an infinite number of solutions would be in the form

a = a

This means that both sides of the equation would be the same

Start by simplifying the options

3(x – 1) = x + 2(x + 1) + 1

3x - 3 = x + 3x + 2 + 1

3x - 3 = 4x + 3

Evaluate

x = 6 ----- one solution

x – 4(x + 1) = –3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2

-4 = -2 ---- no solution

\(2x + 3 = \frac{1}{2}(4x + 2) + 2\)

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3

Subtract 2x

3 = 3 ---- infinite solution

Hence, the equation that has an infinite number of solutions is \(2x + 3 = \frac{1}{2}(4x + 2) + 2\)

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Complete question

Which equation has infinite solutions?

3(x – 1) = x + 2(x + 1) + 1

x – 4(x + 1) = –3(x + 1) + 1

\(2x + 3 = \frac{1}{2}(4x + 2) + 2\)

\(\frac 13(6x - 3) = 3(x + 1) - x - 2\)

Answer:

In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?

PR5T - 47Y6 = 1998

Answer:

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

40x1.6

Answer:

10.) If you buy all larger cans (aka the 7-gallon cans), you would have saved approx. $30.21

9.) Seth would need a score of 95% in order to average an 80%

Step-by-step explanation:

10.) It costs $15.50 per 5-gal. If you want to buy 45 gallons, it would cost you $139.50 if you bought 5-gallon cans.

It costs $17.00 per 7-gallon. If you want to buy 45 gallons, it would cost you $109.29 if you bought 7-gallon cans.

Now, let's compare prices. Buying 45 gallons worth of 7-gallon cans is less expensive by.... (139.50 - 109.29 = 30.21)

Therefore, you saved $30.21.

9.) An average is done by adding up all the numbers and dividing it by how many numbers you added it by. Let's write an equation to make things easier. So far, we don't know the score he needs to get on his fourth test so let's make it a variable x.

(82 + 68 + 75 + x) / 4 = 80

Let's solve for x.

(82 + 68 + 75 + x) / 4 = 80    *Multiply both sides by 4

82 + 68 + 75 + x = 320     *Add like terms

225 + x = 320    *Subtract 225 from boths to get x on one side

x = 95

Answer:

(1. 7x10^4)=10x10x10x10x1.7=17,000

(8.5x10^-2)= 10x-10x8.5= -850

17,000 -850= 16,150

Step-by-step explanation:

Answer:

decimal 0.13

percent is 13

Step-by-step explanation:

Answer:

Decimal: 13

Percent: 13%

Step-by-step explanation:

Sorry if it wrong

Answer:

21:1

Step-by-step explanation:

84 / 4=21

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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The value is approximate.

==========================================================

Explanation:

Focus on the upper triangle.

Label the unknown horizontal side as y

Use the pythagorean theorem to solve for y

a^2+b^2 = c^2

10^2 + y^2 = 26^2

100+y^2 = 676

y^2 = 676-100

y^2 = 576

y = sqrt(576)

y = 24

-----------

Now move to the bottom triangle

With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.

Use the sine rule to connect the two and solve for x

sin(angle) = opposite/hypotenuse

sin(32) = y/x

sin(32) = 24/x

x*sin(32) = 24

x = 24/sin(32)

x = 45.2899179551967 which is approximate

x = 45 rounding to the nearest whole number

Side x is approximately 45 cm long.

Note: make sure your calculator is in degree mode.

Eigenvalues are the special set of scalar values which is associated with the set of linear equations in matrix equations.

Your information is incomplete. Therefore, an overview will be given. An eigenvector of a linear transformation is a nonzero vector that changes by a scalar factor when the linear transformation is applied to it.

The eigenvectors of matrix A are those vectors X for which multiplication by A will result in a vector in thesame direction or opposite direction to X.

Since the zero vector 0 has no direction, 0 is never allowed to be an eigenvector.

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An eigenvector of a linear transformation and eigenvectors of a system

Ax = Bx can be determined where B is an eigenvalue of A.

An eigenvector of a linear transformation is a nonzero vector that changes by a scalar factor when the linear transformation is applied to it.

The eigenvectors of matrix A are those vectors X for which multiplication by A will result in a vector in the same direction or opposite direction to X.

The basic equation is

Ax = Bx

here B is an eigenvalue of A.

Since the zero vector has no direction, zero is never allowed to be an eigenvector.

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In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer:

16,777,216 bacterias.

Step-by-step explanation:

There are 24 hours in one day, and the given bacteria (1) doubles every hour.

Hour 0: 1

Hour 1: 1 x 2 = 2

Hour 2: 2 x 2 = 4

Hour 3: 4 x 2 = 8

Hour 4: 8 x 2  = 16

Hour 5: 16 x 2 = 32

Hour 6: 32 x 2 = 64

Hour 7: 64 x 2 = 128

Hour 8: 128 x 2 = 256

Hour 9: 256 x 2 = 512

Hour 10: 512 x 2 = 1,024

Hour 11: 1,024 x 2 = 2,048

Hour 12: 2,048 x 2 = 4,096

Hour 13: 4,096 x 2 = 8,192

Hour 14: 8,192 x 2 = 16,384

Hour 15: 16,384 x 2 = 32,768

Hour 16: 32,768 x 2 = 65,536

Hour 17: 65,536 x 2 = 131,072

Hour 18: 131,072 x 2 = 262,144

Hour 19: 262,144 x 2 = 524,288

Hour 20: 524,288 x 2 = 1,048,576

Hour 21: 1,048,576 x 2 = 2,097,152

Hour 22: 2,097,152 x 2 = 4,194,304

Hour 23: 4,194,304 x 2 = 8,388,608

Hour 24: 8,388,608 x 2 = 16,777,216

~

Another way to do it is using exponential functions. If it doubles every hour as such: \(2^{x}\)  , in which x is the amount of hours: \(2^{24} = 16777216\)

~

Based on this information, we can conclude that the order of simulations from the least sample size (n) to the greatest sample size (n) is:
C) Simulation B, simulation A, simulation C

Based on the given information, we can determine the order of simulations from the least sample size (n) to the greatest sample size (n) by examining the histograms.

Looking at the histograms, we can see that the relative frequencies for each simulation are centered around the population proportion of 0.70.

However, we need to consider the relative frequencies that are closest to 0.70, as they indicate the simulations with sample sizes closest to the population size.

Comparing the histograms, we can see that the relative frequency closest to 0.70 in Simulation A is 0.69. In Simulation C, the relative frequency closest to 0.70 is also 0.70.

However, in Simulation B, the relative frequency closest to 0.70 is 0.80.

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Answer:

240

Step-by-step explanation:

Answer:

240cm^3

Step-by-step explanation:

5*4=20

20*12=240

The first question would be distance from the start, as it is steadily going up as time goes on.

The second question would be distance from the end, as it is steadily going down as time goes on.

The third question would be speed, as the speed is staying stable as shown by the straight lines seen within the distance from start/end graphs being linear lines.

1. Affordably presented by objects or environments, such as a ball providing the opportunity to practice grasping, throwing, and catching.
2. Individuals perceive these affordances and decide to engage with them, based on their current motor abilities and developmental stage.
3. Through interacting with affordances, individuals practice and develop their motor skills by attempting, refining, and mastering the actions associated with affordance.

Affordably is a term used to describe the relationship between an individual's perception of their environment and their ability to interact with it. In terms of motor development, affordances refer to the opportunities for movement that the environment presents. These opportunities can be both physical and social and can include objects to manipulate, spaces to explore, and people to interact with.

The concept of affordance is important for motor development because it provides children with opportunities to practice and refine their motor skills. As children explore their environment, they are able to perceive the various affordances that it presents, and they can use these affordances to develop their motor skills.

For example, a child may perceive that a box can be used as a stepping stool, and they may use this affordance to climb up onto a table. In doing so, they are developing their balance, coordination, and strength. Similarly, a child may perceive that a ball can be thrown, caught, and bounced, and they can use these affordances to develop their hand-eye coordination, spatial awareness, and timing.

Overall, affordance plays an important role in motor development by providing children with opportunities to explore and interact with their environment and to develop their motor skills in the process.
Affordance contributes to motor development by providing opportunities for individuals to interact with their environment, which in turn helps them develop and refine their motor skills. Affordance refers to the potential actions or uses that an object or environment provides to an individual. In the context of motor development, affordances can be seen as opportunities for practicing and enhancing motor abilities.


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The length of the hypotenuse is 1.

We have,

Let's denote the unknown leg of the right triangle as x.

Since we have a 45-45-90 triangle, we know that the two legs are congruent.

So,

We can set up the following equation:

1/6 = x/c, where c is the length of the hypotenuse.

To solve for c, we can cross-multiply:

x = 1/6 x c

c = 6x

Now, we also know that the hypotenuse is equal to the cotangent of both angles a and b.

Since the two acute angles in a 45-45-90 triangle are congruent, we only need to find the cotangent of one of the angles.

The cotangent of an angle is equal to the ratio of the adjacent side to the opposite side.

In a 45-45-90 triangle, the two legs are congruent, so the adjacent and opposite sides are equal.

So, the cotangent of each acute angle is equal to 1.

So we have:

c = cot(a) = cot(b) = 1

Substituting this value of c into the equation we found earlier:

6x = 1

x = 1/6

Now,

The length of the hypotenuse is:

c = 6x = 6(1/6) = 1

Thus,

The length of the hypotenuse is 1.

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Answer:

C. 20%

Step-by-step explanation:

50*2=100

40*2=80

100-80=20

A percentage is a number or ratio that represents a fraction of 100. 

The percentage decrease in the cost of the pair of pants is 20%.

A percentage is a number or ratio that represents a fraction of 100. 

Example:

50% = 50/100 = 1/2

10% = 10/100 = 1/10

25% = 25/100 = 1/4

20% = 20/100 = 1/5

We have,

The initial cost of pair of pants = $50

The final cost of pair of pants after reduced = $40

The percentage decrease in the cost of pair of pants:

= [( Initial cost - Final cost ) / Initial cost] x 100

= [(50 - 40) / 50] x 100

= (10/50) x 100

= 20%

Thus,

The percentage decrease in the cost of the pair of pants is 20%.

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the product of negative 1/3 ⁵⁰

The expression is :

Since the product of negative to negative is positive

and negative x negative x negative = negative

Thus, if we multiply the negative upto odd number times the resultant will be negative

if we multiply the negative upto even number times the resultant will be positive

In the given expression we multiply (-1/3) upto 50 times

50 is the even number so the the resultant value will be positive

Answer : Positive

becasue if we multiply the negative upto odd number times the resultant will be negative & if we multiply the negative upto even number times the resultant will be positive

Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".

Here is an example of how you can implement the `binomialDistribution` function in C to calculate the probability of K successes in n trials with a given probability of success p:

```c

#include <stdio.h>

// Function to calculate the binomial distribution probability

float binomial Distribution(int K, int n, float p) {

   int i;

   float result = 1.0;

   // Calculate the binomial coefficient (n k)

   for (i = 1; i <= K; i++) {

       result *= (n - i + 1);

       result /= i;

   }

   // Multiply by p^K and (1 - p)^(n - K)

   result *= pow(p, K) * pow(1 - p, n - K);

   return result;

}

int main() {

   int K, n;

   float p, probability;

   // Input values from the user

   printf("Enter k value: ");

   scanf("%d", &K);

   printf("Enter n value: ");

   scanf("%d", &n);

   printf("Enter p value: ");

   scanf("%f", &p);

   // Calculate the binomial distribution probability

   probability = binomialDistribution(K, n, p);

   // Print the result

   printf("The answer is %f\n", probability);

   return 0;

}

```

In this example, we define the `binomialDistribution` function that takes three parameters: K (number of successes), n (number of trials), and p (probability of success). The function calculates the binomial coefficient (n k) and multiplies it by p^K and (1 - p)^(n - K) to obtain the probability.

In the `main` function, we prompt the user to input the values of K, n, and p. Then, we call the `binomialDistribution` function with these values and store the result in the `probability` variable. Finally, we print the result to the console.

Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".

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Given:

Write the abve expression in the for of y=mx+c, then m will be the slope of the equation.

Compare the above expression with y=mx+c. The slope of the given equation is 2/3, and the correct option is option C.

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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The length of DE is 3 units, and the measure of ∠ZEDF is 53°.

Let's analyze the given information and use the properties of similar triangles to find the length of DE and the measure of ∠ZEDF.

First, since triangles AABC and ADEF are similar, we know that their corresponding sides are proportional.

Using the given lengths, we have:

AB/DE = AC/EF = BC/DF

Substituting the known values:

5/DE = 5/3 = 6/DF

Cross-multiplying, we get:

5 \(\times\) 3 = 5 \(\times\) DE

15 = 5 \(\times\) DE

Dividing both sides by 5, we find:

DE = 15/5 = 3 units

Therefore, the length of DE is 3 units.

Now, let's find the measure of ∠ZEDF.

Since ∠ABC and ∠DEF are corresponding angles in similar triangles, they have the same measure.

Given that m/ABC is 53°, we can conclude that m/DEF is also 53°.

Hence, the measure of ∠ZEDF is 53°.

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The position where where angle, θ would be located is at: angle F (∠F).

A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angle has a measure of 90 degrees.

Additionally, all right angles are are formed as a linear pair and they are marked with a right angle symbol.

In conclusion, the measure of the angle in this right angle triangle would be calculated by using the tangent function as follows:

Tanθ = Opposite side/Adjacent side

Tanθ = 6/4

Angle, θ = tan⁻¹(6/4)

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Answer:

Step-by-step explanation:

draw the dots where the coordinates for each letter align.

Method: start with x. move your finger how many spaces the first number sys across the X line do the same for y, but up and down.

then just draw a dot where it ends at.

repeat this process until the polygon is complete.

trace a line from each dot like connect the dots.

Hope this helped!

Answer:

All u do is graph it I will attach attachment

Step-by-step explanation:

The total develop a product  amount capitalized for the patent through March 31, 2020, is $557,000.

To the total amount capitalized for the patent through March 31, 2020,  the research and development costs, the costs associated with obtaining the patent, and the legal fees for defending the patent.

The research and development costs incurred by Chan Resources to develop the product amount to $280,000. These costs are eligible for capitalization.

The costs associated with obtaining the patent total $97,000. These costs are also eligible for capitalization.

The legal fees paid for the successful Defense of the patent amount to $180,000. These fees are considered direct costs of maintaining and defending the patent and are also eligible for capitalization.

To calculate the total amount capitalized for the patent through March 31, 2020,

Research and development costs: $280,000

Costs associated with obtaining the patent: $97,000

Legal fees for defense: $180,000

Total amount capitalized for the patent through March 31, 2020:

$280,000 + $97,000 + $180,000 = $557,000

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The correct interpretation of the 95% confidence interval is: "We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."

This means that if we were to repeat the survey many times and construct a confidence interval for each sample, 95% of those intervals would contain the true proportion of people in the population who own a tablet computer. The interval (0.62, 0.78) is the range of values that is likely to contain the true population proportion with 95% confidence, based on the sample data.

Hence, the correct interpretation of the 95% confidence interval is:

"We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."

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