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Setler79 [48]
3 years ago
12

Write each equation in exponential form.

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

The exponential form of equation  log_{6}(216)=3  is (6)³ = 216

Step-by-step explanation:

The exponential equation of  log_{b}(a)=c  is a=b^{c} , where b is the base, c is the exponent of b and a is the value of b^{c}

Ex: log_{2}(8)=3 , its exponential function is 2^{3}=8

Now let us solve the question

∵ log_{6}(216)=3

∴ The base is 6

∴ The exponent is 3

∴ The answer is 216

∴ The exponential equation is (6)³ = 216

The exponential form of equation  log_{6}(216)=3  is (6)³ = 216

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Which is bigger, 4/3 or 4/4
velikii [3]

Answer:

4/3

Step-by-step explanation:

This is just one of the ways you can do it

find the decimal or divide each fraction

so for the first one 4/3

4 divide by 3 is 1.33333

while 4 divide by 4 is 1

Compare

1.333333 and 1

Of course, 1.33333 is bigger than 1

so 4/3 is the correct answer

Hope this helps :)

4 0
3 years ago
Read 2 more answers
An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y
Kay [80]

Answer:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

\bar X_{1}=14 represent the mean for sample 1 (younger)

\bar X_{2}=20 represent the mean for sample 2 (older)  

s_{1}=5 represent the sample standard deviation for 1  

s_{f}=6 represent the sample standard deviation for 2  

n_{1}=31 sample size for the group 2  

n_{2}=31 sample size for the group 2  

t would represent the statistic

System of hypothesis

We want to test if  that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=31+31-2=60  

Replacing the info given we got:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

6 0
3 years ago
How many halves are in the following<br> 12, 10, 13, 15,8 and 5
muminat
Since there are two halves in a whole, you can times each number by 2 to get the number of halves it has.

12*2=24
10*2=20
13*2=26
15*2=30
8*2=16
5*2=10
6 0
3 years ago
What is the value of x in the figure?<br><br> Enter your answer in the box.
Gelneren [198K]
68 because it is a perpendicular bisector we can assume that the angles full length is 90 degrees meaning you can just do 90-22=68
6 0
3 years ago
Please help me asap!!
alexandr402 [8]

this is pay back again yessir

8 0
3 years ago
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