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posledela
2 years ago
9

Which exponential equation is equivalent to this logarithmic equation? (2)

Mathematics
1 answer:
Pani-rosa [81]2 years ago
3 0

Answer:

<h2><em>A</em><em>.</em><em> </em><em>e⁴</em><em>=</em><em>x</em></h2>

Step-by-step explanation:

Log x=4 ➡️ e⁴=x or x= e⁴

Hope it helps

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A) y= 3x + 10<br> B) y= 3x + 60<br> C) y= 4x + 5<br> D) y= 4x + 35
Afina-wow [57]

Answer:

d or a

Step-by-step explanation:

50/55/100/105/.................

6 0
3 years ago
Solve and graph the compound inequality:<br> 5C + 3 &lt; 28 and -4C – 2 14
LekaFEV [45]

5 C + 3 < 28 a - 4 C - 214

a>9c +31

------------

28. 4

C >28a-21

------

9

4 0
3 years ago
The table shows the average annual cost of tuition at 4-year institutions from 2003 to 2010.
nata0808 [166]

Answer: 1) The best estimate for the average cost of tuition at a 4-year institution starting in 2020 =$ 31524.31

2) The slope of regression line b=937.97 represents the rate of change of  average annual cost of tuition at 4-year institutions (y) from 2003 to 2010(x).  Here,average annual cost of tuition at 4-year institutions is dependent on school years .

Step-by-step explanation:

1) For the given situation we need to find linear regression equation Y=a+bX for the given situation.

Let x be the number of years starting with 2003 to 2010.

i.e. n=8

and y be the average annual cost of tuition at 4-year institutions from 2003 to 2010.  

With reference to table we get

\sum x=36\\\sum y=150894\\\sum x^2=204\\\sum xy=718418

By using above values find a and b for Y=a+bX, where b is the slope of regression line.

a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}=\frac{150894(204)-(36)718418}{8(204)-(36)^2}=\frac{30782376-25863048}{1632-1296}=\frac{4919328}{336}\\\\=14640.85

and

b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}=\frac{8(718418)-(36)150894}{8(204)-(36)^2}=\frac{5747344-5432184}{1632-1296}=\frac{315160}{336}\\\\=937.97


∴ To find average cost of tuition at a 4-year institution starting in 2020.(as n becomes 18 for year 2020 if starts from 2003 ⇒X=18)

So, Y= 14640.85 + 937.97×18 = 31524.31

∴The best estimate for the average cost of tuition at a 4-year institution starting in 2020 = $31524.31


4 0
3 years ago
Learning the basics 6.23 suppose you select one value from a uniform distribution with a=0and b=10.what is the probability that
IgorC [24]
The area under the graph of the continuous uniform distribution is 1.
a. The probability that the value will be between 5 and 7 is the area between 5 and 7.
P(5 \ \textless \  x \ \textless \  7) = \frac{2}{10} = \frac{1}{5}
b. The probability that the value will be between 2 and 3 is the are between 2 and 3.
P(2 \ \textless \  x \ \textless \  3)=\frac{1}{10} 
c. The mean is given by:
\mu=\frac{a+b}{2}=\frac{0+10}{2}=5
d. The variance is given by:
\sigma^2}=\frac{1}{12}(b-a)^{2}=\frac{1}{12}(10)^{2}=8.3333
The standard deviation is:
\sqrt{\sigma} = \sqrt{8.3333} =2.887


5 0
3 years ago
What is 9/30 written as a decimal?
Ronch [10]

Answer:

0.3

Step-by-step explanation:

/ =division

So 9 divided by 30=0.3

5 0
3 years ago
Read 2 more answers
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