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oksano4ka [1.4K]
2 years ago
7

What is the multiplicative rate of change for the exponential function f(x) = f start bracket x end bracket equals two start bra

cket five-halves end bracket superscript negative x?
0.4
0.6
1.5
2.5
Mathematics
2 answers:
zvonat [6]2 years ago
5 0

Answer:

0.4

Step-by-step explanation:

got it right on quiz

Levart [38]2 years ago
3 0

Answer:

.4

Step-by-step explanation:

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The blue whale is the largest animal living on the earth. The average blue whale measures 100 feet long (30 meters) and weighs 3
mamaluj [8]

The average blue whale measures 100 feet(30 meters) long and weighs 300,000 pounds(136,000 kilograms).

  • A whale’s head is \frac{1}{3} of the length of its body. So, the length of a whale's head =(\frac{1}{3}*100)feet = 33.33 feet or (\frac{1}{3}*30)meter= 10 meter
  • A new baby whale is \frac{1}{4} length of a grown whale. So, the length of a new baby whale =(\frac{1}{4}*100)feet = 25 feet or (\frac{1}{4}*30)meter = 7.5 meter
  • The average man is \frac{1}{17} the length of a blue whale. So, the height of the average man =(\frac{1}{17}*100)feet = 5.88 feet or (\frac{1}{17}*30)meter =1.76 meter
  • The average man is \frac{1}{1818} the weight of a blue whale. So,  the average man weighs = (\frac{1}{1818}*300000)pounds= 165.02 pounds or = (\frac{1}{1818}*136000)kilograms= 74.81 kilograms
  • A human baby measures \frac{1}{4} of the length of an adult. So, the height of the average human baby = (\frac{1}{4}*5.88)feet = 1.47 feet or = (\frac{1}{4}*1.76)meter = 0.44 meter

5 0
2 years ago
For the data that are shown on the graph below, which best describes within which range of x-values extrapolation occurs? On a g
aalyn [17]

Given:

On a graph, points are at (0, 15), (1, 17), (3, 18), (4, 20) and (6, 22).

To find:

The range of x-values extrapolation occurs.

Solution:

Consider the below figure attached with this question.

From the graph or given points it is clear that the x-values are 0, 1, 3, 4, 6.

It means the x-values are from 0 to 6.

So, the range of the x-values is x\geq 0 or x\leq 6.

The required compound inequality for the range of x-values is 0\leq x\leq 6.

Therefore, the correct option is D.

7 0
2 years ago
If PQ=RS, which of the following must be true?
maw [93]

<u>Answer:</u>

If PQ=RS then PQ and RS have the same length. Hence option D is correct

<u>Solution:</u>

Given that, pq = rs  

And, we have to find which of the given options are true.

<u><em>a) pq and rs form a straight angle </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>b) pq and rs form a zero angle. </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>c) pq and rs are same segment. </em></u>

If two things equal then there is no condition that both represents a single item.

So this statement is false.

<u><em>d) pq and rs have the same length </em></u>

As given that pq = rs, we can say that they will have the same length  

Hence, option d is true.

4 0
2 years ago
The student council at Spend too much High School is planning a school dance. The table below shows the budget for the dance.
hodyreva [135]
$300 income
$250 + $100 = $350 expenses

$300 - $350 = a loss of $50
6 0
2 years ago
Read 2 more answers
Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi
Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}

Now, we know the following identities:

sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}

Now, the values are:

sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}

Sine value is positive and cos, tan values are negative.

It can be clearly observed that \theta is in 2nd quadrant.

2nd quadrant means, the value of x will be negative and y will be positive.

Let us have a look at the value of tan\theta:

tan\theta  = \dfrac{Perpendicular}{Base}\\OR\\tan\theta  = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0
2 years ago
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