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3 years ago

11

In what position would you find the 'leading' runner in a race? In what position do you suppose you would find the 'leading coef

ficient' in a polynomial?

1 answer:

TEA [102]3 years ago

5 0

Since the "leading" runner in a race would be found in the first position, because he or she is in the lead, it means they are first, then I suppose I would find the "leading coefficient" in the first place in a polynomial as well.

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P³ = 1/8 please help me if anybody can .

ivanzaharov [21]

Answer:

$p= \dfrac{1}{2}$

Step-by-step explanation:

Given equation:

$p^3=\dfrac{1}{8}$

Cube root both sides:

$\implies \sqrt[3]{p^3}= \sqrt[3]{\dfrac{1}{8}}$

$\implies p= \sqrt[3]{\dfrac{1}{8}}$

$\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:$

$\implies p= \left(\dfrac{1}{8}\right)^{\frac{1}{3}}$

$\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:$

$\implies p= \dfrac{1^{\frac{1}{3}}}{8^{\frac{1}{3}}}$

$\textsf{Apply exponent rule} \quad 1^a=1:$

$\implies p= \dfrac{1}{8^{\frac{1}{3}}}$

Rewrite 8 as 2³:

$\implies p= \dfrac{1}{(2^3)^{\frac{1}{3}}}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\implies p= \dfrac{1}{2^{(3 \cdot \frac{1}{3})}}$

Simplify:

$\implies p= \dfrac{1}{2^{\frac{3}{3}}}$

$\implies p= \dfrac{1}{2^{1}}$

$\implies p= \dfrac{1}{2}$

3 0

1 year ago

Read 2 more answers

Solve the expression (-24) + (+6)

ASHA 777 [7]

Answer:

-18

Step-by-step explanation:

The answer is -18 because a negative plus a positive is always a negative.

8 0

3 years ago

Read 2 more answers

Please help!! Due soon!! It's multiple choice!! Can you PLEASE try to show the work? I will give you brainliest!! Please answer

liberstina [14]

16)

(4x + 2) is equal to 150 because they are vertical angles. When two lines intersect, on the opposite sides of the x like these are will be equal to one another. So let’s make them equal to each other.

4x + 2 = 150

Subtract 2

4x = 148

Divide by 4

x = 37

So it will be A

17)

The two angles added up with each other

34 + 146 = 180

Since these two add up to 180 degrees, they would be supplementary angles.

So, H

18)

The two angles will make a 90 degree angle (as shown with the little box formed in the corner)

When angles add up to make 90 degrees, they will be complimentary angles.

So, C.

3 0

3 years ago

Is 25mg greater than 25cg?

Oksi-84 [34.3K]

25 mg. = 2.5 cg.

25 mg. is less than 25 cg.

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3 years ago

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A certain university has 18 vehicles available for use by faculty and staff. Five of these are vans and 13 are cars. On a partic

Reil [10]

Answer:

a

$P(E) = 0.278$

b

$P(F |E) = 0.2353$

c

$P(E and F) = 0.0654$

Step-by-step explanation:

The number of vehicles available is $N = 18$

The number of vans is k = 5

The number of cars is n = 13

Generally P(E) is mathematically represented as

$P(E) = \frac{k}{N}$

=> $P(E) = \frac{5}{18}$

=> $P(E) = 0.278$

Generally P(F| E) means the probability that the second vehicle assigned is a van given that the first one selected is a van this mathematically calculated as

$P(F |E) = \frac{5 -1}{18-1}$

$P(F |E) = \frac{4}{17}$

$P(F |E) = 0.2353$

Generally $P(F | E)$ is also mathematically represented as

$P(F | E) = \frac{P(E and F)}{P(E)}$

=> $P(E and F) =P(E) * P(F | E)$

=> $P(E and F) = 0.278 * 0.2353$

=> $P(E and F) = 0.0654$

5 0

3 years ago