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2 years ago

Solve: 2 In 3 = In(x-4)

1 answer:

5 0

$\bf \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf 2\ln(3)=\ln(x-4)\implies \ln(3^2)=\ln(x-4)\implies \ln(9)=\ln(x-4) \\\\\\ \log_e(9)=\log_e(x-4)\implies e^{\log_e(9)}=e^{\log_e(x-4)}\implies 9=x-4\implies \boxed{13=x}$

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Carrie wanted to make pudding for dessert for her family. However, she couldn't find a recipe that would make 4 servings. She de

Naddika [18.5K]

All you have to do is make 1 into a fraction 4/4+1/4 makes the 8 servings
find and equivilent fraction so 8/8+2/8= 8 servings half it 4/8+1/8= 4 servings so half a cup and an eighth of a cup or 5/8 of a cup hope this helped you have a great day!!

5 0

3 years ago

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually g

vredina [299]

Answer:

Range : { -3,0,4,6}

Step-by-step explanation:

The range of the function is the output values

Range : { -3,0,4,6}

5 0

3 years ago

Read 2 more answers

In a study, 36% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop

steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health.

i.e. $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

Formula : $P(x=r)=^nC_r p^r q ^ {n-r}$

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

$P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!} (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=0.390748$

Hence the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.3907

5 0

3 years ago

Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y

kolbaska11 [484]

Answer:

y = 5x + 3 is a nonproportional relationship.

Step-by-step explanation:

We need to find the equation that represents a nonproportional relationship.

If y is directly proportional to x, it would mean that,

y ∝ x

y = kx

Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.

Hence, we can say that option (b) represents a nonproportional relationship.

7 0

2 years ago

Read 2 more answers

What is the degree of differential equation? ?

Delicious77 [7]

Answer:

Degree = 1

Step-by-step explanation:

Given:

The differential equation is given as:

$\frac{d^2y}{dx^2}+(\frac{dy}{dx})^2+6y=0$

The given differential equation is of the order 2 as the derivative is done 2 times as evident from the first term of the differential equation.

The degree of a differential equation is the exponent of the term which is the order of the differential equation. The terms which represents the differential equation must satisfy the following points:

They must be free from fractional terms.

Shouldn't have derivatives in any fraction.

The highest order term shouldn't be exponential, logarithmic or trigonometric function.

The above differential equation doesn't involve any of the above conditions. The exponent to which the first term is raised is 1.

Therefore, the degree of the given differential equation is 1.

6 0

3 years ago