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3 years ago

Whats the reciprocal of 23

Mathematics

2 answers:

Zepler [3.9K]3 years ago

6 0

The reciprocal of 23 is 1/23

Bess [88]3 years ago

4 0

I think it might be 0.0434782609 but there is problebly a way to shorten it.

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Find the volume of each figure. Simplify your answers.

Lerok [7]

Answer:

$98.28\:\mathrm{ft^3}$

Step-by-step explanation:

The volume of a rectangular prism is given by $V=l\cdot w\cdot h$ , where $l$ is the length of the prism, $w$ is the width of the prism, and $h$ is the height of the prism.

Substituting given values, we get:

$V=2.5\cdot 4.25\cdot 9.25=98.28125\approx \boxed{98.28\:\mathrm{ft^3}}$

Since "Simplify your answers" is very subjective, I've rounded to the nearest hundredth as that is reasonably universal, but you may need to adjust the rounding as desired.

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2 years ago

Simplify (-2) ^2 + |-15| ÷ 3

mixas84 [53]

4+I-15I÷3
4+15÷3
4+5
9
The answer is 9

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2 years ago

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Slope = -1/3 passing through (4,-9) <br> Point- slope form and slope-intercept form

AleksandrR [38]

Answer:

-9=-1/3-13 is it in slope intercept form, look up ones to put it in different forms

Step-by-step explanation:

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2 years ago

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The volume of the world's oceans is nearly 1.5 x 10^9 cubic kilometers. Write this number in scientific notation.

Ostrovityanka [42]

The answer is 1.5x10⁹ That is the scientific notation

4 0

2 years ago

Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0

3 years ago