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3 years ago

Plz help me now plz Which of these lines intersect on the y-axis?

Mathematics

1 answer:

grin007 [14]3 years ago

5 0

Answer:

Step-by-step explanation:

y=19x+4

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Write as a single logarithm

Anettt [7]

ANSWER

$c. \ln( \frac{2 {x}^{3} }{3y})$

EXPLANATION

We want to write

$ln(2x) + 2 ln(x) - ln(3y)$

as a single logarithm.

Use the power rule to rewrite the middle term:

$n \: ln(a) = ln( {a}^{n} )$

$ln(2x) + ln( {x}^{2} ) - ln(3y)$

Use the product rule to obtain:

$ln(a) + ln(b) = ln(ab)$

$ln(2x \times {x}^{2} )- ln(3y)$

$ln(2{x}^{3} )- ln(3y)$

Apply the quotient rule:

$ln(a) - ln(b) = ln( \frac{a}{b})$

$ln(2{x}^{3} )- ln(3y) =\ln(\frac{2 {x}^{3} }{3y})$

7 0

3 years ago

A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT}. Find the probability of g

Jobisdone [24]

The event space of getting exactly one tail is {HT, TH}
The sample space is {HH, HT, TH, TT}

There are two ways to get exactly one tail, out of 4 total possible outcomes.
So 2/4 = 1/2 is the answer

7 0

3 years ago

Solve for d.<br> a - C= d - r

MArishka [77]

Answer:

a - C + r = d

Step-by-step explanation:

a - C = d - r

add r to both sides

a - C + r = d

6 0

3 years ago

Consider estimating a population proportion p. What is the most conservative sample size (erring on the large size) required in

just olya [345]

Answer:

The most conservative sample size is 2401.

Step-by-step explanation:

We are given the following in the question:

We are not given any approximation of s]ample proportion, thus,

$\hat{p} = 0.5$

We have to construct a 95% confidence interval.

Margin of error = 2% = 0.02

Formula for margin of error =

$z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.02 = 1.96\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\0.02 = 1.96\times \sqrt{\dfrac{0.5(1-0.5)}{n}}\\\\\sqrt{n} = 1.96\times \dfrac{\sqrt{0.5(1-0.5)}}{0.02}\\\\\sqrt{n}=49\\n = 2401$

Thus, the most conservative sample size is 2401.

3 0

3 years ago

suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet

Rom4ik [11]

Answer:

- high tide occurs at 12 noon and 12 midnight

- Low tide occurs at 6 a.m and 6 p.m

- maximum depth value = 20 ft

- Minimum depth value = 15 ft

Step-by-step explanation:

The depth is modelled as;

y = 20 + 5 cos (πt/6)

We are told that t = 0 represents 12:00 midnight.

This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.

Max depth value is;

y = 20 + 5(0)

y = 20 ft

Minimum depth value will be the low tide and it will be when the cos function is equal to -1.

Thus;

y = 20 + 5(-1)

y = 15 ft

Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;

12 noon

Also, let's check for low tide.

Let's try t = 6 which means 6 a.m

Thus;

y = 20 + 5 cos (π(6)/6)

y = 20 + 5 cos π

Cos π has a value of -1

Thus;

y = 20 + 5(-1)

y = 20 - 5

y = 15 ft

Thus;

Low tide occurs at 6 a.m and 6 p.m

5 0

3 years ago