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2 years ago

The graph represents the cost of a subscription to a newspaper.

Mathematics

2 answers:

nirvana33 [79]2 years ago

7 0

B. is the answergghhjj

zmey [24]2 years ago

4 0

ANSWER

The constant of variation is $
$7.50$

EXPLANATION

The constant of variation is the slope of the straight line in the given graph.

The straight line passes through the point

$(4,30),(8,60),(12,90)$

We can use any two of these points to find the slope of this line using the formula,

$slope = \frac{y_2-y_1}{x_2-x_1}$

We use

$(4,30) \: and \: (8,60)$

$slope = \frac{60 - 30}{8 - 4}$

$slope = \frac{30}{ 4}$

We simplify this to obtain,

$slope = 7.5$

Therefore, the constant of variation is $7.5.

The correct answer is B.

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List the potential solutions to 2 ln x = 4 ln 2 from least to greatest.

svp [43]

We have to find the potential solutions to $2 ln x = 4 ln 2$ from least to greatest.

Using the properties of ln function.

$a \times ln b = ln b^{a}$

Therefore, we get

$ln x^{2} = ln 2^{4}$

$ln x^{2} = ln 16$

taking antilog on both the sides, we get

$x^{2} = 16$

So, $x = \pm 4$

Therefore, the potential solutions to 2 ln x = 4 ln 2 from least to greatest is -4 and 4.

3 0

2 years ago

Read 2 more answers

Starbucks reports net income for 2015 of $2,634.4 million. Its stockholders' equity is $5,605 million and $6,151 million for 201

ExtremeBDS [4]

Answer:

A. 44.82%

Option b. Return On Equity usually increases since the repurchase of shares reduces the denominator (avg. stockholders' equity)

Option b. The Companies would tend to repurchase their own stock if they feel the stock is been undervalued by the market

Step-by-step explanation:

a. Computation for return on equity for 2015

Using this formula

Return on equity = The Net income amount /The Average stockholders' equity amount

Let plug in the formula

Return on equity=2,634.4/[(5,605+6,151)/2]

Return on equity=2,634.4/(11,756/2)

Return on equity=2,634.4/5,878

Return on equity=0.4482×100

Return on equity= 44.82%

b. In a situation where they repurchased over $1.4 billion of its common stock in the year 2015 this means that the RETURN ON EQUITY will usually tend to increases reason been that the repurchase of shares will often reduces the denominator (average stockholders' equity)

Therefore the repurchase increase Starbucks’ Return On Equity.

c. In a situation where Starbucks had not repurchased common stock in the year 2015, what their Return On Equity would have been is that they will repurchase their own stock if they feel the stock is been undervalued by the market

6 0

2 years ago

Point T is at (–3, 7). What are the coordinates of point T' after Ry-axis ∘ Rx-axis?

dimaraw [331]

Given:

The point is T(-3,7).

To find:

The image T' after $R_{y-axis}\circ R_{x-axis}$ .

Solution:

$R_{y-axis}\circ R_{x-axis}$ , it means reflection across x-axis is followed by reflection across y-axis.

If a point is reflected across the x-axis, then

$(x,y)\to (x,-y)$

$T(-3,7)\to T_1(-3,-7)$

Then point is reflected across the y-axis. So,

$(x,y)\to (-x,y)$

$T_1(-3,-7)\to T'(3,-7)$

Therefore, the coordinates of point T' are (3,-7).

6 0

2 years ago

Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card. What is the probability that

professor190 [17]

Answer:

Therefore, the probability is P=3/32.

Step-by-step explanation:

We know that Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card.

We calculate the probability that he pulls out a 3 first and then pulls out a 2 without replacing them.

The probability that he pulls out a 3 first is 3/8.

The probability of a second card being 2 is 2/8.

We get:

$P=\frac{3}{8}\cdot \frac{2}{8}\\\\P=\frac{6}{64}\\\\P=\frac{3}{32}$

Therefore, the probability is P=3/32.

7 0

2 years ago

Given: △PTC

Natalka [10]

Given the the two angles find the missing angle of P which is 30 degrees.

Since angle P and C are identical their sides are congruent.

The hypotenuse, the largest side is PC because it corresponds to angle T

Using Pythagorean Theorem
a^2 + b^2 = c^2

(PT)^2 + (CT)^2 = (PC)^2
Given that PT is 4 and knowing PT and CT are congruent we can rewrite this
(4)^2 + (4)^2 = (PC)^2
PC = rad(32)

Someone fact check plz

6 0

2 years ago

Read 2 more answers