in a contest in which 7 contestants are entered, in how many ways can 5 prizes be awarded

Answer:

X is greater than or equal to 15.

The dot is closed, and graph it to the right of 15.

The crew's goal is to lengthen the road to at least 104 miles. This will take at least 15 weeks.

Answer:

X is greater than or equal to 15.

Step-by-step explanation:

Answer:

The choose a. – 2

Step-by-step explanation:

\(f( - 8) = \frac{ - 8}{4} = - 2\)

Answer:

Step-by-step explanation:

Blank 1  = 24/24

Blank 2  = 1/9

Blank 3  = 20/32

Blank 4 = 8/8

Blank 5 = 3/4

Answer: 8

Step-by-step explanation:

Using SOHCAHTOA, we need TOA as we have the opposite (1) and the adjacent (7)

θ = \(tan^{-1}(\frac{1}{7} )\) = 8.13 = 8

Answer:

We can’t see whether the circle is filled or not.

If the circle is filled, x ≥ -3.

If the circle is not filled, x > -3.

Answer:

v=20

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(v−15)=15

(3)(v)+(3)(−15)=15(Distribute)

3v+−45=15

3v−45=15

Step 2: Add 45 to both sides.

3v−45+45=15+45

3v=60

Step 3: Divide both sides by 3.

3v /3   =   60 /3

v=20

The ending values in vector `x` after executing the given code snippet would be `7 3 0 8 8`.

The given code snippet appears to be incorrect and incomplete. There are a few issues:

1. The loop condition is not properly defined. Instead of `i < x.size() - 1`, it should be `i < x.size() - 1` to ensure that `i` does not exceed the valid index range of the vector `x`.

2. The increment expression `i` is missing in the loop statement, causing an infinite loop since `i` never changes.

Assuming the correct loop condition is `i < x.size() - 1` and the missing increment expression is `i++`, let's correct the code:

cpp

#include <iostream>

#include <vector>

int main() {

   std::vector<int> x = {4, 7, 3, 0, 8};

   int i;

   for (i = 0; i < x.size() - 1; i++) {

       x.at(i) = x.at(i + 1);

   }

   // Printing the modified vector x

   for (int element : x) {

       std::cout << element << " ";

   }

   std::cout << std::endl;

  return 0;

}

Now, running this corrected code will give the following output:

7 3 0 8 8

After executing the loop, the vector `x` will have the ending values `7, 3, 0, 8, 8`. The last element `x.at(4)` is assigned the value of `x.at(4 + 1)`, which is `8`.

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Answer:

the equation is y= mx+b

Answer:

Step-by-step explanation:

The formula for calculating annual insurance premiums is: D. p = 2rb.​

Insurance premium can be defined as an insurance coverage that help to cover expenses incase of unforseen circumstance thereby saving cost.

Annual insurance premium is the amount that a person pays to an insurance company annually which will serve as an insurance coverage.

Inconclusion the formula for calculating annual insurance premiums is: D. p = 2rb​.

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a) after 30 minutes, they will 12.5 m apart

b)  25  is the distance between the boats changing 30 minutes after they leave port

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(west) of the right angle triangle.

Let y represent the length the longer leg(south) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

 = 20^2+15^2

 z = 25

but after 30 minutes one travels 10mph

and another 7.5mph

then

z= 12.5

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Distance from point (0, -3) to the line y = x - 1 = \(\sqrt{2}\)

Given:

Point =(0,-3) => x = 0; y = -3

Line = y = x - 1 => a= 1, b= -1, c=-1

How is the distance from the point to the line calculated?

Let us consider the distance to be d,

\(d= \frac{ax+by+c}{\sqrt {a^{2}+b^{2}} } \\\\=\frac{1(0)-1(-3)-1}{\sqrt{2} } \\\\=\frac{2}{\sqrt{2} } = \sqrt{2}\)

What is the distance from a point to a line?

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Answer:

B=1.7

Step-by-step explanation:

-6+2+3B+4=2(4+1)-1

-6+2+4+3B=2(4+1)-1

3B=2-1(4+1)

3B=4+1

3B=5

B=5/3=1.7

Answer:

n = 1

Step-by-step explanation:

Represent the number by n.  Then "seven less than twice a number is -5 becomes 2n - 7 = -5

Next we must solve for n.  Adding 7 to both sides yields 2n = 2, so that

n = 1

Answer:

x=39

Step-by-step explanation:

I can explain later but I know you have a time limit right now.

Answer:

Parallelogram has two points of congruent angles.

Step-by-step explanation:

3x - 15 = 2x + 24

add 15 to both sides

3x = 2x + 39

subtract 2x from both sides

x = 39

So now you just need to use LaGrange multipliers to minimize the function of a unit sphere (a compact set) and work out for which values of p the minimum is non-negative.

2a²b+9b²c+12c²a≥pabc

for a,b,c≥0.Letting a=3k,b=2m,c=n yields

36(k²m+m²n+n²k)≥(6p)kmn

k²m+m²n+n²k≥(p6/5)kmn

We now use AM-GM on k2m,m2n,n2k to get that

k²m+m²n+n²k/3 ≥ (k³m³n³)∧13

k2m+m2n+n2k≥3kmn

So we know that this applies to all p18. Furthermore, taking k=m=n turns the inequality into equality, therefore any p>18 fails. As a result, p=18 is the maximum.

Call that function f, and keep in mind that f(x,y,z)=(x,y,z) for all >0 and x,y,zR. So all you have to do is ensure that f is non-negative on the unit sphere.

To learn more about

Answer:

B

Step-by-step explanation:

The elements in the table are in proportional.

Since for every 3unit increase in x, there is a 7 unit increase in y element. Thus, the elements in the table are in proportional.

When x=0 the value of y=0, when x=3 the value of y=7, and finally when x=6 the value of y=14.

The elements is in proportional because the next element is then defined as the multiple of two of the previous element.

Answer:

a)polynomial highest degree of polynomial = 5

b) polynomial highest degree of polynomial = 6

c)polynomial highest degree of polynomial = 4

d)polynomial highest degree of polynomial = 1

e) polynomial highest degree of polynomial = 0

f)polynomial highest degree of polynomial = 5

g)polynomial highest degree of polynomial =4

h)polynomial highest degree of polynomial = 8

i)polynomial highest degree of polynomial =6

j)polynomial highest degree of polynomial =4

k)polynomial highest degree of polynomial =8

i)polynomial highest degree of polynomial =4

Hope it helps

The 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.

To determine the 10%-90% rise time of a response, we need to find the time it takes for the response to go from 10% of its steady-state value to 90% of its steady-state value.

Looking at the graph or response data provided, we can estimate that the steady-state value of the response is approximately 1.4.

10% of 1.4 is 0.14, and 90% of 1.4 is 1.26.

So we need to find the time it takes for the response to go from 0.14 to 1.26.

By examining the graph or data, we can see that this occurs between t = 0.9 seconds and t = 1.2 seconds.

The difference between these two times is:

1.2 - 0.9 = 0.3 seconds

Therefore, the 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.

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When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing the alpha value of 0.01. This is because the alpha value represents the level of significance at which we reject the null hypothesis. A smaller alpha value means we are requiring stronger evidence to reject the null hypothesis, and therefore, the critical value will be higher.

Conversely, a larger alpha value means we are more likely to reject the null hypothesis, and therefore, the critical value will be lower.
When testing a null hypothesis with an alpha value of 0.05, the critical value will be larger compared to testing with an alpha value of 0.01. The reason for this is that the alpha value represents the level of significance or the probability of rejecting the null hypothesis when it is actually true.

A smaller alpha value (e.g., 0.01) indicates a more stringent test, requiring stronger evidence to reject the null hypothesis. As a result, the critical value for a 0.01 alpha level will be smaller, making it more difficult to reject the null hypothesis. Conversely, a larger alpha value (e.g., 0.05) indicates a less stringent test, requiring less evidence to reject the null hypothesis, and the critical value will be larger, making it easier to reject the null hypothesis.

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The relationship between a statistic and a parameter is the same as the relationship between , Option(A) a sample and a population

The Population is defied as an entire group of individuals that we are interested in studying, while a sample is a subset of that population that we actually observe and collect data from.

A Parameter is defined as a numerical characteristic of a population, such as its mean or variance, whereas a statistic is a numerical characteristic of a sample, such as its sample mean or sample standard deviation.

The relationship between a sample and a population is similar to the relationship between a statistic and a parameter because a sample is used to estimate  information about the population, and a statistic is used to estimate  information about a parameter.

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Reading a list of data and answering questions related to comparisons, percentages, and proportions involves analyzing the given information and calculating relevant metrics based on the data.

To determine "how many more" or the difference between two values, you subtract one value from the other. For example, if you are comparing the sales of two products, you can subtract the sales of one product from the other to find the difference in sales.

To calculate "what percentage of" a specific value, you divide the specific value by the total and multiply it by 100. This will give you the percentage. For instance, if you want to find the percentage of customers who rated a product positively out of the total number of customers, you divide the number of positive ratings by the total number of customers and multiply it by 100.

To determine "what proportion of" a group falls into a specific category, you divide the number of individuals in that category by the total number of individuals in the group. This will give you the proportion. For example, if you want to find the proportion of customers who prefer a certain brand out of the total number of customers surveyed, you divide the number of customers preferring that brand by the total number of customers.

By applying these calculations to the given data, you can provide accurate answers to questions regarding comparisons, percentages, and proportions.

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Answer:

r = 3.6 , a = 2

Step-by-step explanation:

given that r is inversely proportional to a then the equation relating them is

r = \(\frac{k}{a}\) ← k is the constant of proportion

to find k use the condition when r = 12 , a = 1.5

12 = \(\frac{k}{1.5}\) ( multiply both sides by 1.5 )

18 = k

r = \(\frac{18}{a}\) ← equation of proportion

when a = 5 , then

r = \(\frac{18}{5}\) = 3.6

when r = 9 , then

9 = \(\frac{18}{a}\) ( multiply both sides by a )

9a = 18 ( divide both sides by 9 )

a = 2

If the difference between the number of dots in each term is 8, it means that the number of dots in each successive term is increasing by 8.

If you have a sequence or pattern in which the difference between the number of dots in each term is 8, it means that the number of dots in each successive term is increasing by 8.

For example, if the first term has 5 dots, the second term would have 5 + 8 = 13 dots, the third term would have 13 + 8 = 21 dots, and so on. The difference between the number of dots in each term is always 8 because the pattern or sequence is increasing by 8 dots each time.

It is important to note that this is just one example of a pattern in which the difference between the number of dots in each term is 8. There can be many different patterns or sequences that exhibit this property, and the specific details will depend on the problem or context.

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Answer:

Step-by-step explanation:

\(A=width \times length\)

   \(= 945 \times 534\)

   \(=504,630ft^2\)

Answer:

2,160

Step-by-step explanation:

First we multiply 9×4×5×3×4

Then the answer we get must be in units

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Step-by-step explanation:

Her father is 34 years old

Number of GE dishwashers sell by K corporation and Wallace company is equal to 240 and 60 respectively.

As given in the question,

Let x be the number of dishwasher sell by K Corporation

And y be the number of dishwasher sell by Wallace Company

K Corporation sells 4 times GE dishwashers as compare to Wallace Company.

x = 4y ___(1)

Difference between sells of K Corporation and Wallace Company

x - y = 180  __(2)

Substitute the value of (1) in (2)

4y - y =180

⇒ 3y = 180

⇒ y = 60

Hence, x = 4 ×60

              = 240

Therefore, number of GE dishwashers sell by K corporation and Wallace company is equal to 240 and 60 respectively.

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