All categories

3 years ago

Simplify the following expression (62)4

Mathematics

1 answer:

bija089 [108]3 years ago

7 0

Answer:

$3^{0} =1$

Step-by-step explanation:

You might be interested in

Sonia read 2 pages of book per minute. If sonia read all the pages of the book at the same rate, which equation shows the tital

Fudgin [204]

2x=y
two times the number of minutes = the amount of pages

5 0

3 years ago

An engineer is designing a storage compartment in a spacecraft .The compartment must be 2 meters longer than it is wide, and its

serg [7]

Answer:

Let x be the width of the compartment,

Then according to the question,

The length of the compartment = x + 2

And the depth of the compartment = x -1

Thus, the volume of the compartment, $V = (x+2)x(x-1) = x^3 + x^2 - 2x$

But, the volume of the compartment must be 8 cubic meters.

⇒ $x^3 + x^2 - 2x = 8$

⇒ $x^3 + x^2 - 2x - 8=0$

⇒ $(x-2)(x^2+3x+4)=0$

If $x-2=0\implies x = 2$ and if $x^2+3x+4=0\implies x = \text{complex number}$

But, width can not be the complex number.

Therefore, width of the compartment = 2 meter.

Length of the compartment = 2 + 2 = 4 meter.

And, Depth of the compartment = 2 - 1 = 1 meter.

Since, the function that shows the volume of the compartment is,

$V(x) = x^3 + x^2 - 2x$

When we lot the graph of that function we found,

V(x) is maximum for infinite.

But width can not infinite,

Therefore, the maximum value of V(x) will be 8.

8 0

3 years ago

Read 2 more answers

11. What is the value of function: f(x) = 10x +2 when x = 5?<br> A)5<br> B) 50<br> C)52<br> D)60

kolezko [41]

Answer:

10[5]+2=52

The answer is c

8 0

2 years ago

Read 2 more answers

12 = -4(-6x -3) +24

Reil [10]

Answer:

x = -1

Step-by-step explanation:

Solve for x:

12 = 24 - 4 (-6 x - 3)

-4 (-6 x - 3) = 24 x + 12:

12 = 24 x + 12 + 24

Grouping like terms, 24 x + 12 + 24 = 24 x + (12 + 24):

12 = 24 x + (12 + 24)

12 + 24 = 36:

12 = 24 x + 36

12 = 24 x + 36 is equivalent to 24 x + 36 = 12:

24 x + 36 = 12

Subtract 36 from both sides:

24 x + (36 - 36) = 12 - 36

36 - 36 = 0:

24 x = 12 - 36

12 - 36 = -24:

24 x = -24

Divide both sides of 24 x = -24 by 24:

(24 x)/24 = (-24)/24

24/24 = 1:

x = (-24)/24

The gcd of -24 and 24 is 24, so (-24)/24 = (24 (-1))/(24×1) = 24/24×-1 = -1:

Answer: x = -1

8 0

2 years ago

A rectangular soccer field is 120 ft long by 64 ft wide. What dimensions would a scale drawing of the soccer field be if the fie

timofeeve [1]

Answer:

Hence dimension on drawing= 12 in by 6.4 in

Step-by-step explanation:

Actual dimension of the soccer field is 120 ft by 64 ft

Scale during drawing = 1in to 10 ft

Hence dimension on drawing = 120/10 by 64/10 = 12 in by 6.4 in

4 0

3 years ago