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11111nata11111 [884]
3 years ago
9

Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 +

8) ^ 2 sqrt(21) . sqrt(13 + 8) E. 10.5
Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

(B)\sqrt{21}\\(C)\sqrt{13+8}

Step-by-step explanation:

Given the expression (13 + 8) ^{1/2}

Using law of indices: a^{1/2}=\sqrt{a}

(13 + 8) ^{1/2}=\sqrt{13+8}

Also:13+8=21

Therefore:

(13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}

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What is the product?
Leya [2.2K]

Answer:

5/4k^2

Step-by-step explanation:

P=5\dfrac{k}{6}\times \dfrac{3}{2k^3}.

We will be using the following property of exponents:

\dfrac{a^x}{a^y}=a^{x-y}.

We have

P\\\\\\=5\dfrac{k}{6}\times\dfrac{3}{2k^3}\\\\\\=\dfrac{5}{6}\times\dfrac{3}{2}k^{1-3}\\\\\\=\dfrac{5}{4}k^{-2}=\dfrac{5}{4k^2}.

Thus, the required product is \dfrac{5}{4k^2}.

Read more on Brainly.com - brainly.com/question/8858421#readmore

8 0
3 years ago
Read 2 more answers
How many 2/3 pounds are in a sixth of a pound?
mote1985 [20]
None. ⅔ is greater than 1/6 but ⅔ equals 2 x (1/6).
Basically one half of ⅔ equals 1/6
6 0
3 years ago
(K3+2k2-82k-28)/(k+10)
Ne4ueva [31]

So for this, we will be using synthetic division. To set it up, have the equation so that the divisor is -10 (since that is the solution of k + 10 = 0) and the dividend are the coefficients. Our equation will look as such:

<em>(Note that synthetic division can only be used when the divisor is a 1st degree binomial)</em>

  • -10 | 1 + 2 - 82 - 28
  • ---------------------------

Now firstly, drop the 1:

  • -10 | 1 + 2 - 82 - 28
  •       ↓
  • -------------------------
  •        1

Next, you are going to multiply -10 and 1, and then combine the product with 2.

  • -10 | 1 + 2 - 82 - 28
  •       ↓ - 10
  • -------------------------
  •        1 - 8

Next, multiply -10 and -8, then combine the product with -82:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80
  • -------------------------
  •        1 - 8 - 2

Next, multiply -10 and -2, then combine the product with -28:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80 + 20
  • -------------------------
  •        1 - 8 - 2 - 8

Now, since we know that the degree of the dividend is 3, this means that the degree of the quotient is 2. Using this, the first 3 terms are k^2, k, and the constant, or in this case k² - 8k - 2. Now what about the last coefficient -8? Well this is our remainder, and will be written as -8/(k + 10).

<u>Putting it together, the quotient is k^2-8k-2-\frac{8}{k+10}</u>

8 0
3 years ago
Hello! Can someone pls help me???
qwelly [4]

Answer:

5x+6y=60

Step-by-step explanation:

x= $5 per pound of second type of seed

y=$6 per pound of first types of seed

3 0
3 years ago
This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellit
egoroff_w [7]
The formula for the volume of a cone, V, is:

V = [1/3] * π * (radius)^2 * height

Here radius = 6 feet / 2 = 3 feet

Height = 15 feet

V = [1/3] π (3 feet)^2 * 15 feet = 45π feet^3

Answer: 45π feet^3
3 0
3 years ago
Read 2 more answers
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