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Harrizon [31]
3 years ago
8

Compare the graphs of the logarithmic functions f(x)= log7 (x) and g(x)=log4(x) . For what values of x is f=g , f>g, and f

Mathematics
2 answers:
densk [106]3 years ago
4 0
The blue curve represents the f(x) function while the orange curve represents the g(x) function
f=g, if x<0 and f>g, if x>0

aniked [119]3 years ago
3 0

Answer:

The graph of f(x) and g(x) is defined for x>0 as logarithmic function is always defined for x>0. By looking at the attached graph of f(x)=log(7 x) and g(x)=log(4 x) we could clearly observe that

f(x) and g(x) tends to minus infinity as x tends to zero i.e. f(x)≈g(x) when x→0.

otherwise f(x)>g(x) for x>0.


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The length of the red line segment is 8, and the length of the blue line segment is 4. How long is the major axis of the ellipse
inessss [21]

Answer: the answer is

C. 12

5 0
3 years ago
The manufacturer of an airport baggage scanning machine claims it can handle an average of 530 bags per hour. (a-1) At α = .05 i
fenix001 [56]

Answer:

Null hypothesis:\mu \geq 250        

Alternative hypothesis:\mu < 250  

p_v =P(t_{15}    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

Step-by-step explanation:

1) Data given and notation        

\bar X=510 represent the mean for the sample    

s=50 represent the standard deviation for the sample  

n=16 sample size        

\mu_o =530 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.      

t would represent the statistic (variable of interest)        

p_v represent the p value for the test (variable of interest)    

2) State the null and alternative hypotheses.        

We need to conduct a hypothesis in order to determine if the claim thet the handle on average is 530 bags per hour:      

Null hypothesis:\mu \geq 530        

Alternative hypothesis:\mu < 530        

We don't know the population deviation and the sample size is lees than 30, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:        

t=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)        

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

3) Calculate the statistic        

We can replace in formula (1) the info given like this:        

t=\frac{510-530}{\frac{50}{\sqrt{16}}}=-1.60        

4) Calculate the critical value

We need to begin calculating the degrees of freedom

df=n-1=16-1=15

The critical value for this case would be :

P(t_{15}

The value of a that satisfy this on the normal standard distribution is a=-1.75 and would be the critical value on this case zc=-1.75

5) Calculate the P-value        

Since is a one-side upper test the p value would be:        

p_v =P(t_{15}    

6) Conclusion        

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

8 0
3 years ago
Which expression is equivalent to ( 7^-2 x 3^5 ) ^-2
finlep [7]

The answer is 7^4 / 3^10.

8 0
1 year ago
What is the simplified form of the expression?
zimovet [89]

Answer:

7c^2d-7c+4d-10

Step-by-step explanation:

Start off with the term that has c^2 in it. 5c^2d + 2C = 7c^2d, then since you have multiple choice, the d value differs between the two answer choices that have 7c^2d so you can do +3d +d to get +4d to get the fourth answer choice.

To check your work, you can add/subtract each term to see if you get 7c^2d-7c+4d-10

3 0
3 years ago
The diameter of a circle is 3 kilometers. What is the area?
lora16 [44]

Answer:

7.068583471 km ^2

Step-by-step explanation:

pi x radius² is area

pi x 1.5² = the answer

3 0
3 years ago
Read 2 more answers
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