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Blababa [14]
3 years ago
11

Percent of change $3 to $2

Mathematics
1 answer:
Anika [276]3 years ago
5 0
33% 
you take $3.00 and move the decimal over two places to the right thats 300% so then you divide that by 3 and got 100% and divide that by 3 and get 33.3% round it to the nearest whole number and its 33%
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Show all work to identify the asymptotes and end behavior of the function f(x)= 5x/x-25.
jeyben [28]

Considering the given function and the asymptote concept, we have that:

  • The vertical asymptote is of x = 25.
  • The horizontal asymptote is of y = 5.
  • The end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. Hence it also gives the end behavior of the function.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}.

The vertical asymptote is found as follows:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5.

Hence the end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

3 0
2 years ago
ANSWER ASAP! In an arithmetic sequence, a17 = -40 and
dsp73

Answer:

The Recursive Formula of sequence is: 8, 5, 2, -1, -4,...

Step-by-step explanation:

Arithmetic Sequence is a sequence in which every two neighbor digits have equal distances.

For finding the nth term, we use formula

aₙ = a + (n - 1) d

where, aₙ = value of nth term

a = First term

n = number of term

d = difference

We have given that,

a₁₇ = -40  ⇒ a₁₇ = a + (17 - 1)d

⇒ -40 = a + 16d        →      (1)

Also, a₂₈ = -73  ⇒ a₂₈ = a + (28 - 1)d

⇒ -73 = a + 27d           →    (2)

Solving, equation (1) and (2), We get  

a = 8, d = -3

Hence, First term = a = 8

Second term = a + d = 8 - 3 = 5

Third term = 5 + d = 2

Fourth term = 2 + d = -1

Thus, The Arithmetic Sequence is: 8, 5, 2, -1, -4,...

8 0
3 years ago
Question 3 (Essay Worth 10 points) (05.07 MC) The scatter plot shows the number of strawberries that have been picked on the far
solong [7]

It's not an accurate value for the data based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means practically no correlation, while the points on the graph are moderately correlated

<h3>How to illustrate the information?</h3>

1. Part A:

Since the points in the scatter plot show a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.

The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to  1.

Here, r = - 1 is a perfect negative correlation as the points will adjust perfectly to a line with negative slope.

r =  + 1 is a perfect positive correlation: the points will ajdust perfectly to a line with positive slope.

r = 0 means that the variables are not correlated at all.

Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows other thing.

Therefore, the calculated value of r = 0.01 is not accurate for this scatter plot.

2. Part B.

A causal relationship means that the explanatory variable (the independent variable) is the cause of the dependent variable.

Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.

Thus, the scenario could be:

Amout of rainfall in mm (x)         Number of strawberries picked (y)

      100                                                     20

        50                                                     40

        25                                                     80

        12.5                                                  160

        6.25                                                 320

The amount of rainfall is the cause of the number of strawberries picked, and you could find a model that relates both variables.

Learn more about scatter plot on:

brainly.com/question/6592115

#SPJ1

4 0
2 years ago
In a right triangle, if sin 0 = 8/17 what is cos 0 explain?
Oliga [24]

Answer:

We have sin² x + cos² x =1 for all real x.

Therefore, sin² x = 1 – cos² x = 1 – (8/17)² = 1 – 64/289 = 225/289 = (15/17)².

However, remember that if x² = a², then x can be +a or –a.

Therefore, sin x can be either –15/17 or +15/17.

Everyone but Anirban so far has forgotten the negative solution.

Step-by-step explanation:

Given that sinθ=817 and cosθ<0 , we have: cosθ=−√1−sin2θ. cosθ=−√1−(817)2. cosθ=−√1−64289.

3 0
2 years ago
Find the value of x
motikmotik

Answer:

5x  -  3 + 47 - x = 180 \\ 4x + 44 = 180 \\ 4x = 136 \\ x = 34

7 0
3 years ago
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