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Allushta [10]
3 years ago
13

) a smart phone has dimensions of 4.9 inches (height), 2.3 inches (width) and 8.0 millimeters (depth). what is the volume of the

smart phone in cubic centimeters? (1 in = 2.54 cm)
Mathematics
1 answer:
mariarad [96]3 years ago
6 0

Answer: 58.11 cm³

Step-by-step explanation:

1. The volume can be calculated with the following formula:

V=h*w*d

Where <em>l</em> is the lenght, <em>w</em> is the width and <em>h</em> is the heigth of the smartphone.

2. You know that the dimensions are:

h=4.9in\\w=2.3in\\d=8mm

3. Convert the height and the width from inches to centimeters, as following:

h=\frac{4.9in*2.54cm}{1cm}=12.44cm

w=\frac{2.3in*2.54cm}{1cm}=5.84cm

4. Convert milimeters to centimeters:

d=\frac{8mm}{10}=0.8cm

4. Then, the volume is:

V=(12.44cm)(5.84cm)(0.8cm)=58.11cm^{3}

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Simplify (-2x^4y^-3)^4
elixir [45]

Answer:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  =  \frac{16 {x}^{16}}{ {y}^{12} }

Step-by-step explanation:

We want to simplify:

( - 2 {x}^{4} {y}^{ - 3} )^{4}

We need to apply the exponential property for products of powers.

Recall that:

( {a}^{m}  \times  {a}^{n} )^{p}  =  {a}^{mp}  \times  {a}^{np}

We apply this rule to get:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  = ( { - 2)}^{4} x \times {x}^{16}  \times {y}^{ - 12}

This simplifies to:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  = 16 {x}^{16}  \times {y}^{ - 12}

We rewrite as positive index to get:

( - 2 {x}^{4} {y}^{ - 3} )^{4}  =  \frac{16 {x}^{16}}{ {y}^{12} }

7 0
4 years ago
1 2 3 4 5
mylen [45]

Answer:

B) 8x10^(-8)

Hope it helps

7 0
2 years ago
Which are correct representations of the inequality 6x2 3 + 4(2x - 1)? Select three options.
olga2289 [7]

Answer:

Option A, B, and C.

Step-by-step explanation:

Given, 6x ≥ 3 + 4(2x - 1),

Solve to find the correct representations given in the options.

6x ≥ 3 + 4(2x - 1)

Apply distributive property

6x ≥ 3 + 8x - 4 (option B is correct) ✅

Add like terms

6x ≥ -1 + 8x

Add 1 to both sides

6x + 1 ≥ 8x

Subtract 6x from each side

1 ≥ 8x - 6x

1 ≥ 2x (option A is correct) ✅

Divide both sides by 2

1/2 ≥ 2x/2

½ ≥ x

½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.

This make option C correct.✅

5 0
3 years ago
What is the value of the fourth term in the geometric sequence
ivanzaharov [21]

Answer:

a(4) = 15/4

Step-by-step explanation:

Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.

Thus, the geometric sequence formula specific to this case is

a(n) = 30(1/:2)^(n-1).

What is the fourth term?  Let n = 4,

a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or  a(4) = 30(1/8) = 30/8, or, in reduced form,

a(4) = 15/4.

6 0
3 years ago
Which of these is a rational number<br><br>A. √150<br>B. √441<br>C. √200<br>D.√250
dlinn [17]
B. sqrt(441) is rational
4 0
4 years ago
Read 2 more answers
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