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LUCKY_DIMON [66]
3 years ago
12

Alice planted some corn in the back yard and measures it’s height regularly. The last time she checked, the stalks were 60 inche

s tall. Now they are 72 inches tall. What is the percent of increase in the height of the stalks?
Mathematics
1 answer:
sdas [7]3 years ago
6 0

Answer:

The percent of increase in height of the stalks is 20%.

Step-by-step explanation:

The general formula for a percent increase is as follows:  (Original Amount - New Amount/Original Amount) x 100.  The original height of the stalks was 60 inches tall.  The new height of the stalks is 72 inches.  In the numerator of our fraction, we take 72-60 to get 12.  Our denominator is the original amount, or 60.  This gives us an overall fraction of 12/60, which when we divide gives us 0.2.  Once we multiply our decimal by 100, we get an overall percent increase of 20%.

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PLEASE HELPPP ASAPP!!<br><br> Combine and simplify the following radical expression.
Greeley [361]

After demonstrating the procedure by algebraic means, the expression (2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} ) <em>is equivalent to</em> 6\cdot \sqrt[3]{24}.

In this question we proceed to <em>simplify</em> (2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} ) by <em>algebraic</em> means into a <em>single</em> <em>radical</em> expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:

  1. (2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )  Given.
  2. (2\cdot 3) \cdot (\sqrt[3]{12} \cdot \sqrt[3]{2}  ) Commutative property/ Associative property.
  3. 6\cdot \sqrt[3]{24} Definition of cubic root/\sqrt[n]{a} = \sqrt[n]{b}/Result

After demonstrating the procedure by algebraic means, the expression (2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} ) <em>is equivalent to</em> 6\cdot \sqrt[3]{24}.

To learn more on radical expressions, we kindly invite to check this verified question: brainly.com/question/1810591

7 0
2 years ago
ABCDEFGHIJ is a regular decagon and the measure of &lt;D is 144º. What is the measure of &lt;A?
AnnyKZ [126]

Answer:

1. 144⁰

2. 60⁰

Step-by-step explanation:

The formula to find the measure of the interior angles of a regular polygon is:

m< = (n - 2) • 180/n where n = the number of sides

For a decagon, there are 10 sides.

m< = (10-2) • 180/10 = 144°

A regular polygon/equilateral triangle is defined as having equal sides and angles.

4 0
3 years ago
Read 2 more answers
FOR BRAINLIEST ANSWER ONLY:<br><br> 2.<br><br> 3.<br><br> 4.<br><br> 6.
nasty-shy [4]

Answer:

2. x = 2 & y = 4

3. x = 4 & y = 2

Step-by-step explanation:

2. x + y = 6

  2x + y = 8  (multiply the first equation by -1,  so you can eliminate the ys)

- x - y = -6

2x + y = 8  (now add the variables together)

x = 2 (plug in x in one of the equations to find out y)

x + y = 6

(2) + y = 6

-2           -2

y = 4

3. 3x + y = 14

          x = 2y (plug in x into the first equation and solve it for y)

3(2y) + y = 14

6y + y = 14

7y = 14

y =  2  (plug in y in one of the equations to find out x)

x = 2y

x = 2(2)

x = 4

4.  One number (x) is 2 more (+2) than twice (times 2) as large as another. their sum is 17. Find the numbers.

2x + 2 = 17 (solve for x)

     -2     -2

2x = 15

x = 7.5

6. 7 (4x + 1) - (x + 6) (start by distributing 7 into the first parenthesis)

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   28x + 7 - x - 6

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   27x + 1

i hope this helped! if you have any question, pls let me know!

6 0
3 years ago
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x axis?
LuckyWell [14K]
We have that
f(x) = (x – 5)³(x + 2)²

we know that
<span>the roots can touch or cross the x axis

</span>The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.

(x - 5)³ has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)² has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

therefore

the answer is
<span>the graph of f(x) touch the x axis for the root x=-2
</span>
see the attached figure

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Anettt [7]
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9 should be added
4 0
3 years ago
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