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Mumz [18]
2 years ago
8

A piece of land is to be fenced and subdivided as shown to that each rectangle has the same dimensions. Express the total amount

of fencing needed as an algebraic expression in x. Find the total amount of fencing.
Mathematics
1 answer:
nlexa [21]2 years ago
6 0
There are 3 rectangles.

In the plane, each rectangle has 2x + 7 horizontal side.

The fence covers 3 horizontal sides => 3 (2x + 7)

In the plane, the vertical sideis x. And the fence covers 4 vertical sides => 4x

Then the total amount of fecncin is: 3(2x+7) + 4x = 6x + 21 + 4x = 10x + 21

Answer: 10x + 21<span> </span>
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PRACTICE ANOTHER The administration of a large university wants to take a random sample to measure student opinion of a new food
Reil [10]

Answer:

81 samples

Step-by-step explanation:

According to the empirical rule :

Possible values of the sample mean is within 3 standard deviations of the population mean :

μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.

3 * sd(x) = 1

sd(x) = 1/3

Recall:

Standard deviation of sampling distribution, sd(x)

sd(x) = σ / sqrt(n)

1/3 = 3 / sqrt(n)

Square both sides

1/9 = 9/n

Cross multiply :

n * 1 = 9 * 9

n = 81

3 0
2 years ago
WHICH ONE DOESN'T BELONG? Which figure does not belong with the other three? Explain your reasoning.
juin [17]
The sphere. All the others are prisms.
5 0
3 years ago
Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?
OlgaM077 [116]

Answer:

a_n = 16(\frac{1}{4})^{n - 1}

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = \frac{1}{16}

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = ar^{n - 1}, where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

\frac{1}{16} = a*\frac{1}{4}^{5 - 1}

\frac{1}{16} = a*\frac{1}{4}^{4}

\frac{1}{16} = a*\frac{1}{256}

\frac{1}{16} = \frac{a}{256}

Cross multiply

1*256 = a*16

Divide both sides by 16

\frac{256}{16} = \frac{16a}{16}

16 = a

a = 16

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = ar^{n - 1}

nth term = 16*\frac{1}{4}^{n - 1}

a_n = 16(\frac{1}{4})^{n - 1}

3 0
2 years ago
What property is 5x1/5=1
alisha [4.7K]

Answer:

Multiplicative Identity Property

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Use the explicit
Leno4ka [110]

Answer:913

Step-by-step explanation:

8 0
2 years ago
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