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3 years ago

Which is equivalent to log_2 n = 4?

Mathematics

2 answers:

olga nikolaevna [1]3 years ago

7 0

Answer:

Step-by-step explanation:

Lana71 [14]3 years ago

7 0

Answer:

(D) log n = 4log2

Step-by-step explanation

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Divide 2/7÷1/3 what is the answer I need help please help me

d1i1m1o1n [39]

Answer: 0.85714285714

Step-by-step explanation:

I just googled it so yeah

7 0

3 years ago

PLEASE HELP!! WILL MARK BRAINLIEST

xz_007 [3.2K]

Answer:

x = 25/2

y = 5

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal when the lines are parallel

4x+8y = 18y

We also know that 18y +90 = 180 since they form a straight line

18y +90 = 180

Subtract 90 from each side

18y+90-90=180-90

18y = 90

y =5

Now we can solve for x

4x+8y = 18y

4x+8y-8y = 18y-8y

4x = 10y

Since y = 5

4x = 10(5)

4x = 50

4x/4 = 50/4

x = 25/2

x = 50/4

5 0

3 years ago

On a citrus farm, the average annual yield of oranges is 124 pounds per tree when the number of trees is 22 per acre. For each a

ELEN [110]

Answer:

Number of orange trees = 3528

Step-by-step explanation:

Given: Average annual orange yield = 124 pounds (lbs) per tree

Number of trees = 22 per acre

Each tree produces 124 pounds, so 22 trees will produce

124*22 = 2728 lbs per acre

For every additional tree over 22, 2 pounds per tree is lost.

So, if you add x trees, you lose 2x pounds.

Thus, we have the function:

f(x) = (124 - 2x)*(22 + x) for the added tree(s)

$f(x) = 2728 + 80x - 2x^{2}$

For quadratic equations like this, the maximum(or minimum) is obtained by substituting x= -b/2a into the given equation. a and b are obtained from the general form of a quadratic equation:

$y =ax^{2} + bx + c$

Comparing this with f(x), we have that

a = -2 (coefficient of x2)

b = 80 (coefficient of x)

Using these values in x = -b/2a, we get

$x = -\frac{80}{2*(-2)} = 20$

So, use x = 20 in the maximum function we got earlier

$f(x) = 2728 + 80(20) -2(20^{2}) = 2728 + 1600 - 800\\ \\f(x) = 3528$

Therefore, the number of oranges that should be planted in order to maximize the number of pounds of oranges per acre = 3528

3 0

3 years ago

The Johnsons spent a total of $69.96 for dinner at their favorite restaurant last night. If this cost included a 20% tip, how

enyata [817]

It would be 55.97

To find this you find what 20% of 69.96 is and subtract that number from 69.96 (in this case that number would be 13.99) So you would find your answer of 55.97

5 0

3 years ago

The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds. a. Find the probabi

Masja [62]

Answer:

a. 0.443

b. 0.023

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds.

This means that $\mu = 22, \sigma = 5$