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Lena [83]
3 years ago
11

What is the value of the expression 8 cubed? 24 83 512 6,561

Mathematics
2 answers:
EleoNora [17]3 years ago
7 0

Answer:

<h3>512</h3>

Step-by-step explanation:

<h3>The number 512 on prime factorization gives 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2. On combining the prime factors in groups of 3 gives 8. So, the cube root of 512 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2) = 8 (perfect cube).</h3>

#CaRRyOnLeArNinG

mr Goodwill [35]3 years ago
5 0

Answer:

512

Step-by-step explanation:

you need to find the value of 8 cubed which is 8^3. All 8^3 means is multiplying 8 three times so 8 × 8 × 8 = 512.

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Rewrite the following expression as a single logarithm 2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)
mixer [17]

The rewritten form of the expression as a single logarithm is; log {(x+3)²(x-2)^5}/(x-7)³(x²).

<h3>What is the rewritten form of the expression?</h3>

The expression given in the task content can be rewritten as a single logarithm by virtue of the laws of logarithms as follows;

2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)

= log(x+3)² - log(x-7)³ +log(x-2)^5-log(x^2)

= log {(x+3)²(x-2)^5}/(x-7)³(x²)

Read more on logarithm;

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5 0
2 years ago
!!Please Help!! Find the value of z to the nearest tenth.
serg [7]

Answer:

x = 14\sqrt{2}

y = 14

z= 14\sqrt{3}

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14\sqrt{2}

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14\sqrt{3} using either Pythagorean Theorem or special right triangle properties for 30-60-90.

7 0
3 years ago
A card is drawn from a standard deck of 52 cards. What is the probability of drawing a face card (jack, king, or queen) or a bla
Shkiper50 [21]
Probability of drawing a face card =
4 suits x 3 = 12
\frac{12}{52}  =  \frac{3}{13}
Probability of drawing a black card =
\frac{26}{52}  =  \frac{1}{2}
Hope this helps. - M
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3 years ago
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mars1129 [50]
Esta es la respuesta 51+52+53= 156
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2, 2, 2, 3, 4, 4, 11<br> What is the median of the seven data values shown?
Oduvanchick [21]

Answer:

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Step-by-step explanation:

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