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4 years ago

Which choice is equivalent to the expression below? -25

Mathematics

2 answers:

Pavel [41]4 years ago

5 0

Answer:

Option A.

Step-by-step explanation:

The given expression is

$-25$

According to the reflexive property of equality, all values are equal to itself.

a = a

where, a be any real number.

Using the reflexive property we can say that

$-25=-25$

It means -25 is equal or equivalent to -25.

Therefore, the correct option is A.

Note: If the given expression is $\sqrt{-25}$ , then

$\sqrt{-25}=\sqrt{25}\sqrt{-1}$ $[\because \sqrt{ab}=\sqrt{a}\sqrt {b}]$

$\sqrt{-25}=5i$ $[\because \sqrt{-1}=i]$

Then the correct option is B.

liq [111]4 years ago

4 0

Answer:5i

Step-by-step explanation:

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The Answer is A, verified apex

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3 years ago

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3. Solve for x. (2 + 5x)" (4x + 7)" whats x?

erma4kov [3.2K]

(2+5x)=(4x+7)
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3 years ago

The dimensions of a rectangular prism are n, n + 7, and n + 8. Use the formula V = ewh to write a polynomial in standard form fo

exis [7]

Answer:

n³ + 15n² + 56n

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = l × w × h.

We are given the dimensions of this rectangular prism: n, n + 7, n + 8.

We can assume that these are the length, width, and height of the rectangular prism (not in any specific order).

Let's substitute these values into the formula to find the volume of the prism, written as a polynomial in standard form.

V = l × w × h
V = (n) × (n + 7) × (n + 8)
V = (n² + 7n) × (n + 8)
V = n³ + 8n² + 7n² + 56n
V = n³ + 15n² + 56n

The volume of the prism is n³ + 15n² + 56n. This is in standard form because the terms are listed in descending power order.

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3 years ago

A sequence is defined recursively by the formula f(n 1) = f(n) 3 . the first term of the sequence is –4. what is the next term i

ch4aika [34]

The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)

<h3>How to determine an element of a sequence</h3>

In mathematics, sequences are sets whose elements observe at least a condition, which is represented by a recursion formula in this question:

f(n + 1) = f(n) + 3

Thus, the following term of the sequence is:

f(2) = f(1) + 3

f(2) = - 4 + 3

f(2) = - 1

The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)

<h3>Remark</h3>

The statement is poorly formatted and reports typing mistakes. Correct statement is:

A sequence is defined recursively by the formula f(n + 1) = f(n) + 3. The first term of the sequence is - 4. What is the next term in the sequence? a) - 7, b) - 1, c) 1, d) 7

To learn more on sequences: brainly.com/question/21961097

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2 years ago

The number of different species of plants in some gardens is recorded.

PolarNik [594]

(a) The mean of the number of different species of plants in some gardens is 4.5 .

(b) The standard deviation of the number of different species of plants in some gardens is 2.12 (Approximately)

It is given in the question that the number of different species recorded are:-

1 2 3 4 4 5 5 6 7 8

We have to find the mean and standard deviation of the given data of the number of plants of different species.

(a) We know that, the formula for mean is :-

Sum of all the observations/ Total number of observations

Hence,

Mean = $\frac{1+2+3+4+4+5+5+6+7+8}{10} =\frac{45}{10}=4.5$

(b) Standard deviation = $\sqrt{\frac{Sum(X-m)^{2} }{N} }$

Where,

X = each value

m = mean

N = number of values

Hence,

$Sum(X-m)^{2} =(1-4.5)^{2}+(2-4.5)^{2}+ (3-4.5)^{2}+ (4-4.5)^{2}+ (4-4.5)^{2}+ (5-5.5)^{2}+ (5-5.5)^{2}+ (6-5.5)^{2}+ (7-5.5)^{2}+ (8-5.5)^{2}\\ \\ Sum(X-m)^{2}=(-3.5)^{2} +(-2.5)^{2}+ (-1.5)^{2}+ (-0.5)^{2}+ (-0.5)^{2}+ (0.5)^{2}+ (0.5)^{2}+ (1.5)^{2}+ (2.5)^{2}+ (3.5)^{2} \\\\$

$Sum(X-m)^2=12.25+6.25+2.25+0.25+0.25+0.25+0.25+2.25+6.25+12.25\\\\=42.5$

Standard deviation = ${\sqrt{\frac{{42.25}}{10} }} =\frac{6.7}{\sqrt{10} }=\frac{6.7}{3.16}=2.12$ (approximately).

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1 year ago

Which choice is equivalent to the expression below? -25 ​

Which choice is equivalent to the expression below? -25