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Vedmedyk [2.9K]

2 years ago

7

Darryl ran 17.3 miles more than Imani last week. Darryl ran 26.3 miles. How many miles did Imani run?

1 answer:

daser333 [38]2 years ago

8 0

Answer:

9 miles

Step-by-step explanation:

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What is the simplified form of the following expression? 7(^3 square root 2x) - 3 (^3 square root 16x) -3 (^3 square root 8x)

Pachacha [2.7K]

Answer:

The third option listed: $\sqrt[3]{2x} -6\sqrt[3]{x}\\$

Step-by-step explanation:

We start by writing all the numerical factors inside the qubic roots in factor form (and if possible with exponent 3 so as to easily identify what can be extracted from the root):

$7\sqrt[3]{2x} -3\sqrt[3]{16x} -3\sqrt[3]{8x} =\\=7\sqrt[3]{2x} -3\sqrt[3]{2^32x} -3\sqrt[3]{2^3x} =\\=7\sqrt[3]{2x} -3*2\sqrt[3]{2x} -3*2\sqrt[3]{x}=\\=7\sqrt[3]{2x} -6\sqrt[3]{2x} -6\sqrt[3]{x}$

And now we combine all like terms (notice that the only two terms we can combine are the first two, which contain the exact same radical form:

$7\sqrt[3]{2x} -6\sqrt[3]{2x} -6\sqrt[3]{x}=\\=\sqrt[3]{2x} -6\sqrt[3]{x}$

Therefore this is the simplified radical expression: $\sqrt[3]{2x} -6\sqrt[3]{x}\\$

5 0

2 years ago

3r2 + 11r + 8<br> Factor completely

crimeas [40]

Answer:

(3r+8)(4+1)

Step-by-step explanation:

5 0

2 years ago

Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (

Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

$P(\frac{T}{S}) = 0.95$

$P(\frac{T}{S^c}) = 0.05$

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

$P(S^c) = 1 - P(S)$

= 1 - 0.3

= 0.7

ii. $P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}$

$= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }$

$= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}$

= 0.8906

iii. $P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}$

$= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }$

$= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}$

= 0.0221

We simply applied the above formulas so that the each part could come

8 0

2 years ago

30 > -6(2X +3)<br> show me how to solve

MA_775_DIABLO [31]

<h3><u>x > -4 is the solution to this inequality.</u></h3>

30 > -6(2x + 3)

Distributive property.

30 > -12x - 18

Add 18 to both sides.

48 > -12x

Divide both sides by -12.

(Because we're dividing by a negative, the inequality sign flips.)

<h3><u>4- < x</u></h3>

6 0

2 years ago

Read 2 more answers

Find the length of the rectangle side

34kurt

Consider the offered option:
if suppose, that unknown side is '?', then
2*(3x-3)+2*'?'=10x+6;
6x-6+2*'?'=10x+6;
2*'?'=4x+12;
'?'=2x+6
Answer: 2x+6

5 0

2 years ago