Answer : domain: {x | x is a real number}; range: {y | y >- 8}
the domain and range of 
For exponential function , there is no restriction for x
So domain is all real numbers
For exponential function , 
The range is y > b
The range of 
is y> -8
domain: {x | x is a real number}; range: {y | y > –8}
Answer:
-1/4 meter per minute
Step-by-step explanation:
Since, the volume of a cube,
Where, r is the edge of the cube,
Differentiating with respect to t ( time )
Given, 
Also, V = 8 ⇒ r = ∛8 = 2,
By substituting the values,
Hence, the rate of change of an edge is -1/4 meter per minute.
Answer:
Here we have given two catogaries as degree holder and non degree holder.
So here we have to test the hypothesis that,
H0 : p1 = p2 Vs H1 : p1 not= p2
where p1 is population proportion of degree holder.
p2 is population proportion of non degree holder.
Assume alpha = level of significance = 5% = 0.05
The test is two tailed.
Here test statistic follows standard normal distribution.
The test statistic is,
Z = (p1^ - p2^) / SE
where SE = sqrt[(p^*q^)/n1 + (p^*q^)/n2]
p1^ = x1/n1
p2^ = x2/n2
p^ = (x1+x2) / (n1+n2)
This we can done in TI_83 calculator.
steps :
STAT --> TESTS --> 6:2-PropZTest --> ENTER --> Input all the values --> select alternative "not= P2" --> ENTER --> Calculate --> ENTER
Test statistic Z = 1.60
P-value = 0.1090
P-value > alpha
Fail to reject H0 or accept H0 at 5% level of significance.
Conclusion : There is not sufficient evidence to say that the percent of correct answers is significantly different between degree holders and non-degree holders.
Maximum weight the bridge can support in kilograms is 101696
Step-by-step explanation:
- Step 1: Given capacity of bridge = 100 British tons. Find how many kilograms are equivalent to 1 British ton.
1 British ton = 2240 pounds
1 pound = 0.454 kg
⇒ 1 British ton = 2240 × 0.454 kg = 1016.96 kg
- Step 2: Find how many kilograms are in 100 British tons.
⇒ 100 × 1016.96 = 101696
The correct answer for the question that is being presented above is this one: "A) (10h + 60) = (10h)." Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned <span>the bonus, the amount she spent on dinner would have been of her paycheck.</span>
