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3 years ago

Which expression is equivalent to (3^2)^-2

Mathematics

1 answer:

Andru [333]3 years ago

6 0

Answer: 1/81

First you simplify it to 3^-4

Then express it with a positive exponent which goes to 1/3^4

Then evaluate it to 1/81

Step-by-step explanation:

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PLEASE HELP! With math

Flauer [41]

Use the diamond box method.

x^2 | -6x

10x | -60

-60x^2
10x. -6x
4x

(x-6)(x+10)

x= 6, -10

4 0

4 years ago

2. MANUFACTURING An auto parts company can produce 525 four-cylinder engines or

Tema [17]

A because that is what the answer is

6 0

3 years ago

Write an equation for the line parallel to the given line that contains C<br> C(2,6); y= -4x + 7

MrRa [10]

Answer:

$y=-4x+14$

Step-by-step explanation:

step 1

Find the slope of the given line

we have

$y=-4x+7$

This is the equation of the given line in slope intercept form

The slope is $m=-4$

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

therefore

The slope of the line parallel to to the given line is $m=-4$

step 3

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-4$

$C\ (2,6)$

substitute

$y-6=-4(x-2)$

step 4

Convert to slope intercept form

$y-6=-4(x-2)$

isolate the variable y

$y-6=-4x+8$

$y=-4x+8+6$

$y=-4x+14$

6 0

3 years ago

Two dice are rolled. Find the probability of getting a. A sum of 5, 6, or 7 b. Doubles or a sum of 6 or 8 c. A sum greater than

dimaraw [331]

Answer:

The answer is below

Step-by-step explanation:

The possible outcome from rolling two dice is:

1,1 1,2 1,3 1,4 1,5 1,6

2,1 2,2 2,3 2,4 2,5 2,6

3,1 3,2 3,3 3,4 3,5 3,6

4,1 4,2 4,3 4,4 4,5 4,6

5,1 5,2 5,3 5,4 5,5 5,6

6,1 6,2 6,3 6,4 6,5 6,6

The total number of outcomes = 36

P(sum of 5) = 4/36, P(sum of 6) = 5/36, P(sum of 7) = 6/36

Hence:

P(sum of 5 or sum of 6, or sum of 7) = P(sum of 5) + P(sum of 6) + P(sum of 7) = 4/36 + 5/36 + 6/36

P(sum of 5, 6, or 7) = 15 / 36

P(doubles) = 6/36, P(sum of 6) = 5/36, P(sum of 8) = 5/36

Hence:

P(doubles or sum of 6 or sum of 8) = P(doubles) + P(sum of 6) + P(sum of 8) = 6/36 + 5/36 + 5/36

P(doubles or sum of 6 or sum of 8) = 16 / 36

P(sum greater than 8) = 10/36, P(sum lesser than 3) = 1/36

P(sum greater than 8 or less than 3) = P(sum greater than 8) + P(sum lesser than 3) = 10/36 + 1/36

P(sum greater than 8 or less than 3) = 11 / 36

Part c has the least probability of occurrence, hence c is least likely to occur.

5 0

3 years ago

There are many cylinders with a height of 18 meters. Let represent the radius in meters and represent the volume in cubic meters

antiseptic1488 [7]

Answer:

Step-by-step explanation:

1). Equation that represents the volume of a cylinder,

V = πr²h

Here, r = radius of the cylinder

h = Height of the cylinder

2). Fromm the given formula of volume,

r(In m) V(In cubic meters)

1 56.55

2 226.19

3 508.94

3). If the radius is doubled from 1 m to 2 m,

At r = 1 m, Volume (V₁) = 56.55 m³

At r = 2 m, Volume (V₂) = 226.19

$\frac{V_2}{V_1}=\frac{226.19}{56.55}$

= 4

Therefore, volume is not doubled when radius of the cylinder is doubled.

8 0

3 years ago