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4 years ago

Expand the expression #32

Mathematics

1 answer:

adell [148]4 years ago

4 0

Answer:

$log_{2}$ x

Step-by-step explanation:

Since the cube root of something can be written as it to the 1/3 power, we can rewrite this as:

1/3 $log_{2}$ 8x^4

then

1/3 $log_{2}$ 2^3x^3*x

$log_{2}$ x.

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How many solutions does the following equation have? (5 points) |6x + 12| = −18 No solution One solution Two solutions Infinitel

erastovalidia [21]

No solutions. the answer to an absolute value equation like this one only produced positive numbers, not negative

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3 years ago

Rory was with some friends outside an ice cream parlor. He noticed that one out of every four people bought a vanilla cone. He w

mrs_skeptik [129]

C. would be the correct device to use in trials.

But the actual probability is:

(1-1/4)^5

243/1024

(about 23.73% chance none of the five chose vanilla)

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3 years ago

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A rectangular prism measures 3ft by 6ft by 5ft. If the dimensions of the box were all quadrupled. How would the surface area of

Blababa [14]

The surface area of a shape is the amount of space on the shape

When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area

<h3>How to determine the surface area</h3>

The surface area of a rectangular prism is:

$S = 2 * (lw + lh + wh)$

When quadrupled, we have:

$S_2 = 2 * (16lw + 16lh + 16wh)$

Factor out 16

$S_2 =16 * 2 * (lw + lh + wh)$

Substitute $S = 2 * (lw + lh + wh)$

$S_2 =16 * 2 * S$

The above means that:

The new surface area would be 16 times the initial surface area

Read more about surface areas at:

brainly.com/question/24571594

3 0

2 years ago

Yuet solved the equation 6 a minus 2 b = 12 for a. Her steps are shown below. 1. Subtract 2b: 6 a = 12 minus 12 b 2. Divide by 6

Ber [7]

Question:

Yuet solved the equation $6a - 2b = 12$ for a.

Her steps are shown below.

1. Subtract 2b: $6a = 12 - 2b$

2. Divide by 6: $a = 2 - \frac{b}{3}$

Answer:

In step 1 she needed to add 2b to both sides of the equation.

Step-by-step explanation:

Given:

The above steps shows how Yuet solved an equation

Required:

True statement about Yuet's work

The implication of the statement is to state what Yuet should have done instead of what she did.

In step 1, she subtracted 2b from both sides of the equation; this is wrong.

Instead of subtracting, she ought to add 2b to both sides of the equation.

The correct steps and result is as follows:

1. Add 2b: $6a = 12 + 2b$

2. Divide by 6: $a = 2 + \frac{b}{3}$

Hence, we can conclude that in step 1 she needed to add 2b to both sides of the equation.

4 0

3 years ago

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What is the solution to the inequality lx-4l< 3? –7 < x < –1 1 < x < 7 x < –7 or x < –1 x > 1 or x <

lidiya [134]

$1$

So, Option B is correct.

Step-by-step explanation:

We need to solve the inequality: $|x-4|< 3$

Solving:

$|x-4|< 3$

The absolute rule says that if |u|<a and a>0, then -a<u<a

So, applying absolute rule:

$|x-4|< 3\\-3$

We can write it as:

$x-4>-3\,\,and\,\,x-4-3+4\,\,and\,\,x1\,\,and\,\,x$

Combining the intervals:

$1$

So, Option B is correct.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

5 0

4 years ago

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