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Alborosie
3 years ago
5

Provide a clear answer while explaining how to do each step to the question below:

Mathematics
1 answer:
likoan [24]3 years ago
7 0

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt[3]{8x^5y^7} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[3]{8x^5y^7}\implies \sqrt[3]{2^3x^5y^7}\implies \left( 2^3x^5y^7 \right)^{\frac{1}{3}}\implies 2^{3\cdot \frac{1}{3}}x^{5\cdot \frac{1}{3}}y^{7\cdot \frac{1}{3}}\implies 2x^{\frac{5}{3}}y^{\frac{7}{3}}

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The actual answere 3 + 1(6 ÷ 2)
nadezda [96]

Hey there!

Just do PEMDAS

• Parentheses

• Exponents

• Multiplication

• Division

• Addition

• Subtraction

3 + 1(6 ÷ 2)

= 3 + 1(3)

= 3 + 3

= 6

Therefore, your answer is: 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

4 0
2 years ago
Graph the linear inequality: 2x + 3y = 12, by creating a t-chart to plot the points. Shade by
Crazy boy [7]

Answer:

See explanation

Step-by-step explanation:

Assuming the given inequality is 2x+3y\le12

Then the corresponding linear equation is 2x+3y=12

When x=0, we have  2*0+3y=12

\implies 3y=12\implies y=4

When y=0, we have  2x+3*0=12

\implies 2x=12\implies x=6

The T-table is:

<u>x   |   y</u>

0   |   4

6   |   12

We plot this points and draw a solid straight line as shown in the attachment.

Now let us test the origin: (0,0) by plugging x=0 and y=0 into the inequality.

2*0+3*0\le12

0\le12....This is true so we shade the lower half plane as shown in the attachment.

6 0
3 years ago
What are some decimals for 9/2 other than 4.5
PolarNik [594]

Answer:

1.4953

Step-by-step explanation:

You will need to break down 4.5

4√5

1.4953

8 0
2 years ago
Each person will eat 2/3 of a pound of Turkey and 8 people will be at party how many pounds of turkey will be needed
Lelechka [254]
Each person 2/3 pounds of turkey

Since you need the amount for 8 people you multiply 8 times 2/3

8/ 2/. =. 16/ = 5 with 1/3
1. Times 3 3


5 with 1/3 pounds of turkey will be needed
8 0
3 years ago
Riangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.
DochEvi [55]

Answer:

Step-by-step explanation:

1. Part A: We know parts of our triangle since the cosine of X is given.  XY = 2.5 and XZ = 5.59 and since it is a scale factor of 2, ABC is most likely similar to XYZ by angle measures and the special relationship is, that they are all equal, because with a scale factor of two, all the ratios in triangle ABC will simplify to the ratios of triangle XYZ. 

Part B: Because triangle XYZ was dilated with a scale factor of 2 to create triangle ABC, just multiply the sides by 2 to get the sides AC and CB, which is AB = 2 times XY and CB = 2 times XZ. 

2. We can first find the hypothenuse by adding squaring 8 and 6 to have 100. Then square root it to have 10 as our hypothenuse

Now we can use sin x = 6/10 and cos y = 6/10

3. Since this is using the angle of elevation, we can say that the length of side AB is perpendicular from the perspective of angle of elevation, and the hypotenuse's length is known, so in this case, we can use a sine or cosecant ratio. 

Sin(40 Degrees) = AB/100

AB = 100 x sin(40 Degrees) ft

AB ~ 64.28 ft which can be rounded to 64 ft

The triangle I drew was a right triangle with points A, B, and C. 40 is on point C while 100 ft was on the hypotenuse. The kite was near A and the ground was between segment B and C.

4. Since the angle and Adjacent line is given and it is asking us to find H which is the opposite, we well try and be using Tangent = opposite/adjacent 

500 ft Multiply by tan39 = 405 (Estimated after rounding to nearest hundreth 404.892).

To be honest, I didn't know so much about these questions but this might give a better understanding and if I'm wrong then I apologize.

7 0
2 years ago
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