I enter the garden. There are 34 people. You hug 30. How many people are in the garden.

Answers

Answer 1
Answer:

There are 34 people in the garden prior to the time I joined them.

So when I entered the garden, the total number of people in the garden will be:

  • 34 + 1 = 35 people

Let assume, you as the reader was part of the people in the garden and you hugged 30 people. That doesn't add up or increase the number of people in the garden.

At the end of the day, the number of people you did not hug is:

35 - 30 - 1(you)

= 35 - 31

= 4 people

Therefore, we can conclude that there are 35 peoplepresent in the garden.

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Answer 2
Answer:

Answer:

34

Step-by-step explanation:


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A fire ranger stands atop an observation tower 70 feet above the ground and sees a fire in the distance. She measures the angle of depression from where she is to the fire and finds it to be 34° How far away from the base of the tower is the fire?​

A plant cell has a length of 0.000085 meters. Which is this length written in scientific notation?

Answers

Answer: The answer would be 8.5 times 10^-5

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

8.5 x 10^-5

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Why can't you use the product of powers rule to simplifythis expression? Explain.
3^4.2^8

Answers

Answer:

Because the base of this expression is not same.

When the Chili restaurant chain was in financial trouble.its CEO directed the managers of each of the chain's restaurant to trim costs without sacrificingcustomer satisfaction.Which of the following did the CEO use to make restaurant managers accountable for cost-cutting measures?A) substitution8) transpositionC) delegation of authorityD) job sharing

Answers

Answer: Option C : delegation of authority

Step-by-step explanation:

the CEO used DELEGATION OF AUTHORITY approach to make restaurant managers accountable for cost-cutting measures in the above case.

Final answer:

The CEO of the Chili restaurant chain used the delegation of authority principle to make restaurant managers responsible for cost-cutting measures without sacrificing customer satisfaction.

Explanation:

In the situation described, the Chili restaurant chain's CEO used delegation of authority to make restaurant managers accountable for cost-cutting measures. Delegation of authority refers to the process of passing down responsibilities and decision-making power from upper to lower levels of management. In this case, the CEO entrusted the restaurant managers with the responsibility of reducing costs, while also maintaining customer satisfaction. Using this strategy, the CEO was able to shift accountability to the managers, who now have the authority to manage their resources and strategize their cost-cutting measures in a manner that would not compromise the level of satisfaction of their customers.

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Identify the vertex, axis of symmetry, maximum orminimum, and domain and range of the function
2x² – 5x + 3 = m(x)

Answers

Answer:

  • vertex: (1.25, -0.125)
  • axis of symmetry: x = 1.25
  • minimum: -0.125
  • domain: all real numbers
  • range: y ≥ -0.125

Step-by-step explanation:

For quadratic ax² +bx +c, the axis of symmetry is x = -b/(2a). For your function, a=2, b=-5, c=3 and the axis of symmetry is ...

  x = -(-5)/(2(2)) = 5/4 = 1.25

The vertex is on the axis of symmetry. The y-value there is ...

  m(5/4) = (2(5/4) -5)(5/4) +3 = (-5/2)(5/4) +3 = -25/8 +24/8 = -1/8

The vertex is (5/4, -1/8).

The axis of symmetry is x = 5/4.

The leading coefficient is positive, so the parabola opens upward. The vertex is a minimum.

The minimum is -1/8.

The function is defined for all values of x, so ...

the domain is all real numbers.

Values of y can only be -1/8 or greater, so ...

the range is y ≥ -1/8.

Question 2
Explain the difference between the graphs y = x3 and y = 3(x – 4)3 + 7.

Answers

Answer:

The first graph , y=x³ is a cubic function graph and that of the second graph, y = 3(x – 4)3 + 7 is a linear graph.

Step-by-step explanation:

The graph of y=x³ is a cubic function graph where the x term has the highest power of x as 3. As attached in the first graph.

The second graph for y = 3(x – 4)3 + 7. is a linear graph that can be written as;

y=(3x-12)3 +7

y=9x-36 + 7

y=9x - 29

which is a linear graph with a slope of 9 and cuts the y-axis at -29 as shown in the second attached graph.

What is the sum of the interior angle measures of a polygon that has eleven sides ? Hint :Sum = (n-2)180

Answers

Answer:

n=11

Step-by-step explanation:

(11-2) 180

9×180=1620