Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie's explanation? Kylie is correct. Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly. Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly. Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.

Answer: 3x-3

Step-by-step explanation:

So the minimal transportation cost is $8,700, and it can be achieved by renting 6 buses and 27 vans.

Let's start by defining our variables. Let b be the number of buses and v be the number of vans to be rented. We want to minimize the transportation costs, so our objective function is:

C = 1400b + 100v

We also have two constraints:

The total number of students that can be transported cannot be less than 720:

72b + 9v ≥ 720

The total number of chaperones cannot be more than 45:

3b + v ≤ 45

Now we can solve for b and v. Let's solve the second constraint for v:

v ≤ 45 - 3b

Substituting this inequality into the first constraint, we get:

72b + 9(45 - 3b) ≥ 720

Simplifying and solving for b, we get:

b ≥ 6

So we know that we need to rent at least 6 buses. Since we cannot rent a fraction of a bus or van, b must be an integer. Let's try b = 6 and see if it satisfies the second constraint:

3(6) + v ≤ 45

v ≤ 27

Since v must also be an integer, the largest integer that satisfies this inequality is v = 27. Now we can calculate the total cost:

C = 1400(6) + 100(27) = 8700

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The expense report provided is an example of "Managing a staff" duty of a US representative.

The expense report titled "Selected Reported Expenses July-September 2012" lists the expenses associated with different positions within the representative's staff. These positions include Senior staff assistant, Director of Information technology, Director of scheduling, Director of speechwriting, and Research assistant. The expenses listed in column 2 correspond to the salaries or costs associated with each staff position.

Managing a staff is one of the key duties of a US representative. Representatives are responsible for hiring and overseeing the performance of their staff members. They need to ensure that their staff members are competent, efficient, and appropriately compensated for their roles within the representative's office. The expense report reflects the financial aspect of managing the staff, as it lists the reported expenses related to the salaries or costs associated with different staff positions.

While other duties, such as leading a committee meeting, voting on proposed legislation, and scheduling public appearances, are also important responsibilities of a US representative, the expense report specifically highlights the aspect of managing a staff by providing information about the expenses related to various staff positions.

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Answer:

12 miles below sea level

Step-by-step explanation:

Answer:

iesjfsoifjoddfdfgfd

Step-by-step explanation:

C, 3 units translated to the left due to the +3 inside the bracket, vertically reflected on the x-axis as it is negative outside the bracket and translation 1 unit up because of the +1 outside the brackets.

Answer:

22

Step-by-step explanation:

Answer:

Your answer is 22 turtle eggs hatched on Wednesday.

Step-by-step explanation:

First we have to find how many eggs hatched before Wednesday then minus that from the original number, so:

11+6=17

then:

39-17 = 22

The Answer Is Sin(B)=4/5

\( \sin( \beta ) = \frac{opposite}{hypotenuse} \)

Meaning, sin(B)=4/5

Answer:

4/5

Step-by-step explanation:

The angle you want to look at is the one given to you with the beta symbol. The trigonometric funtion sin mean opposite/hypotenuse. The side that is opposite is stright across from ∠β which would be 4. The hypothenuse is the largest side of the triangle or the "slanted side of the triangle." With that explanation, the hypotenuse is 5.

Answer:

(-1,5)

(-6,-4)

(4,0)

(2,-4)

Step-by-step explanation:

all of the above have unique x-values that don't already exist in the table

Proxima Centauri, the nearest star to Earth, is approximately 24.9 trillion miles away. This distance is calculated using the speed of light and the time it takes for light to travel from Earth to Proxima Centauri.

To calculate the distance between Earth and Proxima Centauri, we can use the formula: distance = speed x time. In this case, the speed of light is 186,000 miles per second and the travel time is 4.2 years. First, we need to convert the travel time into seconds.

There are 31,536,000 seconds in a year (60 seconds x 60 minutes x 24 hours x 365 days).

Therefore, 4.2 years is equivalent to 132,451,200 seconds (4.2 years x 31,536,000 seconds/year). Now, we can plug these values into the formula: distance = 186,000 miles/second x 132,451,200 seconds.

This calculation results in a distance of approximately 24.9 trillion miles (24,900,000,000,000 miles).

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The probability of choosing 3 men and 3 women to form the committee is 0.4329 and the probability to select exactly 2 people from the human resources is 0.4545.

It is given that there are 12 employees.

The number of male employees is 6

number of female employees is 6

A committee of 6 is to be formed. We need to find the probability that out of 6, 3 are male and 3 are female.

Let A be the event of having 3 men and 3 women on the committee

The total number of ways to choose 6 people is

¹²C₆

Probability = number of favorable outcomes / total number of outcomes

n(A) = ⁶C₃   X  ⁶C₃

Therefore,

P(A) = (⁶C₃   X  ⁶C₃) / ¹²C₆

= (20  X  20) / 924

= 400/924

= 0.4329

It is given that the number of employees in human resources from the group is 4

Let B be the event to choose exactly 2 employees from the human resource

n(B) = ⁴C₂  X  ⁸C₄

P(B) = ⁴C₂  X  ⁸C₄ / ¹²C₆

= 6 X 70 / 924

= 420 / 924

= 0.4545

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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The given sequence an = \((-1)^n(sqrt(n)/(2n+3))\) diverges.

To determine whether the sequence converges or diverges, we can examine its behavior as n approaches infinity. In this case, the sequence an =\((-1)^n(sqrt(n)/(2n+3))\) exhibits alternating signs due to the term \((-1)^n\). However, the other part of the sequence, (sqrt(n)/(2n+3)), does not approach a fixed value as n increases.

As n grows larger, the numerator sqrt(n) increases without bound, while the denominator 2n+3 also increases. Consequently, the ratio (sqrt(n)/(2n+3)) oscillates between positive and negative values without settling on a specific limit. Since the sequence does not converge to a finite value, it is considered divergent.

In divergent sequences, there is no single value toward which the terms of the sequence converge as n approaches infinity. The alternating nature of the terms \((-1)^n\) further confirms that the sequence does not have a definite limit.

In conclusion, the given sequence an =\((-1)^n(sqrt(n)/(2n+3))\) diverges, indicating that it does not approach a finite limit as n tends to infinity.

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the answer is d

the equation you need to solve is:

5x + x-12 = 90

         +12    +12

6x=102

now, divide by 6 and you get x= 17

17-12 = 5

17 x 5 = 85

hope this helps!!

Answer:

-1 , -6

Step-by-step explanation:

Let x be the first number and let y be the second number.

x * y = 6

x + y = -7

Let's first find the factor pairs of 6.

1, 6

2, 3

-1, -6

-2, -3

Now, we just need to take each factor pair and add them together and see which one equals -7.

1 + 6 = 7, so that is wrong.

2 + 3 - 5, so that is also wrong.

-1 - 6 = -7, so this is our answer (-2 and -3 added is -5, which is wrong).

Therefore, our answer is -6 and -1.

Answer:

21.4 m

Step-by-step explanation:

let height of tree = h

tan 65° = h/10

h = tan 65°  x  10

h = 21.4 m

Hope this helps!

Answer:

7kg

Step-by-step explanation:

mass: amount of matter in a substance,

SI Unit: kg

It has nothing to do with N (weight) in this case so take the kg value as the mass

Answer:

0.71 kg

Step-by-step explanation:

a common equation in physics is w = mg

we can rearrange this to m = w/g

g is the acceleration of gravity: 9.81 m/s^2

w is the weight of the given equation of the object: 7 kg

so m = 7 kg ÷ 9.81 m/s^2

this gives us: m = 0.71 kg

Answer:

D

Step-by-step explanation:

Volume = lwh

120 = l(4)(3)

l = 10 feet

Answer:

\(4x + 3 < 7 \\ 4x + 3 - 3 < 7 - 3 \\ 4x < 4 \ \\ 4x \div 4 < 4 \div 4 \\ x < 1\)

\(3x - 8 > 7 \\ 3x - 8 + 8 > 7 + 8 \\ 3x > 15 \\ 3x \div 3 > 15 \div 3 \\ x > 5\)

The required solution of the given inequality is x<1 and x > 5.

Solve the inequality: 4x + 3 < 7 or 3x - 8 > 7

To solve the inequality, we treat it as two separate inequalities:

4x + 3 < 7

Subtract 3 from both sides:

4x < 4

Divide both sides by 4:

x < 1

So, the solution to the first inequality is x < 1.

3x - 8 > 7

Add 8 to both sides:

3x > 15

Divide both sides by 3:

x > 5

Thus, the solution to the second inequality is x > 5.

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Answer:

a. Draw two lines which intersect each other somewhere on the graph.

b. Draw two parallel lines.

The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

The height (h) is represented by:

h(t) = -4.9t² + 40t + 20

The maximum height is at h'(t) = 0, hence:

h'(t) = -9,8t + 40

-9.8t + 40 = 0

t =  4.082

The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.

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Answer:

radius of a circle is half of its diameter

Answer:

Step-by-step explanation:

Cylinder volume formula: V= πr²h

Given

Volume of soup pod

Answer:

If you want to derive an equation from the question, you answer is:

3*x+4<-62

If you want the solved equation for x, your answer is:

x<-22

(Depending on what your question is)

Step-by-step explanation:

For the first answer, you can represent the unknown number as x. Three times is equivalent to 3 multiply, so it will look like 3*x, or just 3x. Increased by four is just adding four, so your equation will now look like 3x+4. Less than -62 is just 3x+4<-62. To solve future problems, just carefully look at the words. Does it mention divided by? Maybe decreased? Carefully look and analyze the question and plug in the operators, variables, and numbers.

For the second solution, since we've already translated the question to an equation from above, we can solve the equation we've derived, which is 3x+4<-62. Subtract four on both sides. The equation will look like this: 3x+4-4<-62-4. Simplifying, we get 3x<-66. Next, we divide both sides of the equation by 3, and we will get x<-22.

Good luck on your studies!

(I may be young but I know stuff so you can trust me :) )

Answer:

Step-by-step explanation:

GO TO TIBET AND DO KHETI AS YOU DO IN "INDIA"

Answer:

Terrence farming, removing snow use stronger tools ,heavy machines, wait for the weathering of rocks

please mark as brainliest

Answer:

125

Step-by-step explanation:

y = 1k/x^3  I am trying to find the constant k.  I will use the information that I have been given to find k

1 = k/5^3

1 = k/125  Multiply both sides by 125

125 = k

Now, we will find y when x = 1

y = 125/1^3

y = 125

The value of y is 125 when x is 1.

Write the function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.

y = 1k/x^3  I am trying to find the constant k.  I will use the information that I have been given to find k

1 = k/5^3

1 = k/125

Multiply both sides by 125

125 = k

Now, we will find y when x = 1

y = 125/1^3

y = 125

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Answer:

Step-by-step explanation:

Answer:

d) what percent are driven by car,bus, or other transit

Step-by-step explanation: