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Nuetrik [128]
3 years ago
11

What is the range of the function y=4ex

Mathematics
1 answer:
Anna11 [10]3 years ago
3 0
We have that
<span>y=4e^x

using a graph tool
see the attached figure

the domain of the function is all real numbers--------> the interval (-</span>∞,∞)
the range of the function is all positive real numbers---> interval (0,∞)

the answer is
the range of the function is all positive real numbers---> interval (0,∞)

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2,3,5,9,17,33 what are the next three terms?
stich3 [128]

The next three terms of sequence are 65, 129 and 257

<em><u>Solution:</u></em>

<em><u>Given sequence is:</u></em>

2, 3, 5, 9, 17, 33

We have to find the next three terms in sequence

<em><u>Let us find the logic used in this sequence</u></em>

2 + 2^0 = 2 + 1 = 3\\\\3 + 2^1 = 3 + 2 = 5\\\\5 + 2^2 = 5 + 4 = 9\\\\9 + 2^3 = 9 + 8 = 17\\\\17 + 2^4 = 17 + 16 = 33

Thus the sequence is increasing by 2 raised to power 0, 1, 2 and so on

<em><u>Thus the next three terms are found by:</u></em>

33 + 2^5 =33 + 32= 65\\\\65 + 2^6 = 65 + 64 = 129\\\\129 + 2^7 = 129 + 128 = 257

Thus the next three terms of sequence are 65, 129 and 257

3 0
3 years ago
Footware manufacturing is projected to decrease output by 8.4% from 2006 to 2016. If footware manufacturing had 1.8 billion doll
kramer
Since the manufacturing company is expected to have a lower output by 8.4%, the output in 2016 will only be 91.6%. Given also that their output in 2006 is 1.8 billion dollars, we multiply this value by the decimal equivalent of 91.6% to determine the answer. That is,
                          projected output in 2016 = ($1.8 B) x (0.916)
                                                                 = $1.6488 B
Thus, the expected output in 2016 is approximately $1.6488 B. 
4 0
4 years ago
Suppose John is a high school statistics teacher who believes that scoring higher on homework assignments leads to higher test s
EleoNora [17]

Answer:

A. R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.

Step-by-step explanation:

John is predicting test scores of students on the basis of their home work averages and he get the following regression equation

y=0.2 x +82.

Here, dependent variable y is the test scores and independent variable x is home averages because test scores are predicted on the basis of home work averages.

The coefficient of determination R² indicates the explained variability of dependent variable due to its linear relationship with independent variable.

We are given that correlation coefficient r= 0.82.

coefficient of determination R²=0.82²=0.6724 or 67.24%.

Thus, we can say that 67.24% of total variability in test scores is explained by its linear relationship with homework averages.

Also, we can say that, R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.

3 0
3 years ago
Which shape below does not have rotation symmetry can someone help me on this question plzzz
taurus [48]
Triangle? because when you rotate it each part will be a bit different
3 0
3 years ago
Select the expression that is equivalent to 2b+ 5 + 6b − 2b − 1.
katen-ka-za [31]

Step-by-step explanation:

no entiendo.....aaaaa

8 0
3 years ago
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