Answer:
(a)

(b)

(c)

(d)

Step-by-step explanation:
(a)

we can use property of exponent

we get


........Answer
(b)

we can use property of exponent

we get


........Answer
(c)

we can use property of exponent

we get



........Answer
(d)

we can use property of exponent

we get


we can use property

........Answer
The increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from y = ± x.
<h3>What is a Hyperbola?</h3>
This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.
The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.
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Answer:
$66.5
Step-by-step explanation:
The cost, including tax, amounts to $850.00.
Down payment =$150
Amount after paying down payment = $850-$150=$700
Interest rate = 14 %
So, interest on $700 = 
So, c = $98
Total payment = amount financed + c = 700+98=$798
Now Joe finances the grill over 12 months
So, no. of payments = 12
Now Monthly payment = Total of payments ÷ number of payments
=798 ÷ 12
=$66.5
Hence Joe's monthly payments (principal plus interest) is $ 66.5
Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with
.
For the binomial distribution, the parameters are given as follows:
n = 100, p = 0.5.
Hence the mean and the standard deviation of the approximation are given as follows:
.
Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is <u>one subtracted by the p-value of Z when X = 66.5</u>.


Z = 3.3
Z = 3.3 has a p-value of 0.9995.
1 - 0.9995 = 0.0005.
0.0005 = 0.05%
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Answer:
20
Step-by-step explanation:
Sonya has 5 sandwiches.she cuts each sandwich into fourths
1 sandwich divided into four parts
four parts = ¹/₄
1/¹/₄= 1x ⁴/₁= 4
so 1 sandwich divided into four parts is 4
so if 1 is divided into four parts is 4
5 will 4 x 5 = 20
so it means there will 20 of ¹/₄ sandwich