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3 years ago

Name the property of real numbers illustrated by the equation

Mathematics

2 answers:

fgiga [73]3 years ago

7 0

we know that

<u>The Associative Property Of Addition</u> states that

$a+(b+c)=(a+b)+c$

in this problem we have

$a=2 \\b=\sqrt{5}\\c=7$

substitute in the formula above

$2+(\sqrt{5}+7)=(2+\sqrt{5})+7$

therefore

<u>the answer is the option</u>

B: Associative Property Of Addition

andrew-mc [135]3 years ago

6 0

I believe it is the Associative Property of Addition

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Rectangle FGHJ has coordinates F(-8, 6), G(8, 6), H(8,-6), and J(-8, -6). The rectangle is dilated by a scale factor of v with t

baherus [9]

Answer:

H'(8v,-6v)

Step-by-step explanation:

Here coordinate of H is (8,-6). We are dilating it using the rule (x,y)-->(kx,ky) where 'k' is scale factor.

For our problem , the dilation factor is "v"

So, image would be (8v,-6v)

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3 years ago

Show how to add 3/7 +1/3 =

olchik [2.2K]

Answer:

16/21

Step-by-step explanation:

So first get the Lcm of the denomninators

1. 9/21 + 7/21

2. Then add

16/21

hope this helped!

Mark me brainliest!

-Shadyk

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3 years ago

What is the area of a triangle expressed as a monomial

Jobisdone [24]

Answer:

$28x^2$

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

A forestry company hopes to generate credits from the carbon sequestered in its plantations.The equation describing the forest w

Dmitry [639]

Answer:

Explanation:

Given:

The equation describing the forest wood biomass per hectare as a function of plantation age t is:

y(t) = 5 + 0.005t^2 + 0.024t^3 − 0.0045t^4

The equation that describes the annual growth in wood biomass is:

y ′ (t) = 0.01t + 0.072t^2 - 0.018t^3

To find:

a) The year the annual growth achieved its highest possible value

b) when does y ′ (t) achieve its highest value?

To determine the year the highest possible value was achieved, we will set the derivative y'(t) to zero. The values of t will be substituted into the second derivative to get the highest value

$\begin{gathered} 0\text{ = 0.01t + 0.072t}^2\text{ - 0.018t}^3 \\ using\text{ a graphing tool,} \\ t\text{ = -0.1343} \\ \text{t = 0} \\ t\text{ = 4.1343} \\ \\ Since\text{ we can't have time as a negative value, t = 0 or t = 4.1343} \end{gathered}$ $\begin{gathered} To\text{ ascertain which is the maximum, we take a second derivative} \\ y^{\prime}\text{'\lparen t\rparen = 0.01 + 0.144t - 0.054t}^2 \\ \\ substitute\text{ t = 0 and t = 4.13 respectively} \\ when\text{ t = 0 } \\ y^{\prime}\text{'\lparen t\rparen= 0.01 + 0.144\lparen0\rparen - 0.054\lparen0\rparen}^2 \\ y^{\prime}\text{'\lparen t\rparen= 0.01 + 0 - 0} \\ y^{\prime}\text{'\lparen t\rparen= 0.01 > 0} \\ \\ y^{\prime}\text{'\lparen t\rparen= 0.01 + 0.144\lparen4.13\rparen - 0.054\lparen4.13\rparen}^2 \\ y^{\prime}\text{'\lparen t\rparen= -0.316 < 0} \\ \\ if\text{ }y^{\prime}\text{'\lparen t\rparen > 0 , then it is minimum, } \\ if\text{ }y^{\prime}\text{'\lparen t\rparen < 0, then it is maximum} \end{gathered}$

SInce t = 4.13, gives y ′' (t) = -0.316 (< 0). This makes it the maximum value of t

The year the annual growth achieved its highest possible value to the nearest whole number will be

year 4

b) y ′ (t) will achieve its highest value, when we substitute the value of t that gives into the initial function.

Initial function: y(t) = 5 + 0.005t^2 + 0.024t^3 − 0.0045t^4

$undefined$

6 0

1 year ago

Does 12cm,35cm,37cm equal a right triangle

velikii [3]

Start off by using the Pythagorean Theorem: a^2 + b^2 = c^2

12^2 + 35^2 = 37^2
144 + 1,225 = 1,369
1,369 = 1,369

If the left side equals the right side than it is a right triangle.

Your answer is: Yes

Have an amazing day and stay hopeful!

4 0

3 years ago