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jonny [76]
2 years ago
15

(a) The area of a rectangular garden is 5658 m?.

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
5 0

A) Length is 82 m

B) Width is 58 cm

Hope this is helpful!

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A number to the 9th power divided by the same number to the 6th power equals 64. What is the number?
Vika [28.1K]
Use an equation:
x^9/x^6=64
x^(9-6)=64
x^3=64
x=4

note that x^9 means "x to the power of 9", same with other ones

the number is 4.
5 0
3 years ago
You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Co
Alex Ar [27]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

For this case we have the following info given:

ME=0.03 the margin of error desired

Conf= 0.95 the level of confidence given

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

the critical value for 95% of confidence is z=1.96

We can use as estimator for the population of interest \hat p=0.5. And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

3 0
3 years ago
Given the function rule f(x)=x2-4x+3 what is the output of f(-3)
Mariana [72]
(-3)^2 -4(-3) + 3

9 + 12 + 3

So the answer is 24
3 0
3 years ago
Which land forms are formed by wind deposition in the desert region?​
Elena L [17]

Answer:

Sand Dune Landforms

Sand dunes (both active and stabilized by vegetation) can be found along beaches, and in arid or semi-arid regions. Dunes are mounds of loose sand created by wind and are the most well known aeolian features

8 0
2 years ago
Read 2 more answers
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t
inessss [21]

Step-by-step explanation:

a_1=6\\a_2=a_1+1\to a_2=6+1=7\\a_3=a_2+1\to a_3=7+1=8\\a_4=a_3+1\to a_4=8+1=9\\\vdots\\\\\text{The recursive formula}\\a_n=\left\{\begin{array}{ccc}a_1=6\\a_n=a_{n-1}+1\end{array}\right\\\\\text{It's an arithmetic sequence with}\ a_1=6\ \text{and difference}\ d=1\\\\\text{The explicit formula of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\\text{Substitute:}\\\\a_n=6+(n-1)(1)\\a_n=6+n-1\\a_n=5+n\\\\a_n=n+5

5 0
3 years ago
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