The year-end balance sheet of Star Inc. shows total assets of $6,617 million, operating assets of $5,253 million, operating liabilities of $2,822 million, and shareholders' equity of $2,950 million.
The company's year-end net operating assets are:

$9,39 million

$5,253 million

$2,431 million

$8,075 million

None of these are correct.

Answer:

The equation of the line is:

y

=

5

6

x

−

15

6

Explanation:

The equation of the line will be in the form:

y

=

m

x

+

c

where  

m

is the slope (gradient) and  

c

is the y-intercept.

To find the slope, we use:

m

=

y

2

−

y

1

x

2

−

x

1

It doesn't matter which point we decide is  

(

x

1

,

y

1

)

and which we choose as  

(

x

2

,

y

2

, since the formula will work either way.

m

=

0

−

(

−

5

)

3

−

(

−

3

)

=

5

6

Now we can use the slope and the coordinates of one point - either will do - to find the y-intercept:

y

=

m

x

+

c

0

=

5

6

(

3

)

+

c

=

15

6

+

c

Rearranging:

c

=

0

−

15

6

=

−

15

6

Over all, then, the equation of the line is:

y

=

5

6

x

−

15

6

The equation of the line is:

y

=

5

6

x

−

15

6

Explanation:

The equation of the line will be in the form:

y

=

m

x

+

c

where  

m

is the slope (gradient) and  

c

is the y-intercept.

To find the slope, we use:

m

=

y

2

−

y

1

x

2

−

x

1

It doesn't matter which point we decide is  

(

x

1

,

y

1

)

and which we choose as  

(

x

2

,

y

2

, since the formula will work either way.

m

=

0

−

(

−

5

)

3

−

(

−

3

)

=

5

6

Now we can use the slope and the coordinates of one point - either will do - to find the y-intercept:

y

=

m

x

+

c

0

=

5

6

(

3

)

+

c

=

15

6

+

c

Rearranging:

c

=

0

−

15

6

=

−

15

6

Over all, then, the equation of the line is:

y

=

5

6

x

−

15

6

Step-by-step explanation:

We want to find the equation of the line that passes through the points (0, 3) and (5, -3). The linear equation is y = (-6/5)*x + 3

A general linear equation is written as:

y = a*x +b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope can be written as:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

In this case, we know that the line passes through (0, 3) and (5, -3) then the slope is:

\(a = \frac{-3 - 3}{5 - 0} = \frac{-6}{5}\)

Then the line is:

y = (-6/5)*x + b

To get the value of b, we use the fact that the line passes through (0, 3), so we have:

3 = (-6/5)*0 + b

3 = b

Then the linear equation is just:

y = (-6/5)*x + 3

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There are 10 cars in a race, in 720 ways can three cars finish the race as the 1st, 2nd, and the 3rd places.

An arrangement of particulars in a specific order is appertained to as a permutation. Then, the factors of sets are arranged in a direct or successional order. For case, the set A = ,6 has a permutation of 2, which is. There's no other way to organise the factors of set A, as you can see.

There are 10 cars in the race,

Three cars finish the race in the 1st ,2nd and 3rd order

1st finish the race have 10 chances

P(A) = 10

2nd finish the race have 9 chances

P(B) = 9

3rd finish the race have 8 chances

P(C) = 8

The number in which this can be put,

= P(A) x P(B) x P(C)

= 10*9*8

=720 ways

Therefore, in 720 ways can three cars finish the race as the 1st, 2nd, and the 3rd places.

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If the population of Hopkins continues to grow at that rate, the number of years it  will take for the population to double is 24 years.

We would be make using of the rule of 70 to determine the number of years.

Using this  formula to find the number of years it takes to double

Number of years = Rule 70 / Annual growth rate

Let plug in the formula

Number of years = 70 / 2.9

Number of years ≈ 24 years

Therefore, it will take approximately 24 years.

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The equation to solve for your normal hourly rate is x = (612.5 - 1.5 * 46 + 46 * x) / 40.

In this equation, x represents your normal hourly rate. The first term in the parentheses, 612.5, is your total earnings for the week. The second term, 1.5 * 46, represents the overtime pay you received for working 6 hours over 40 hours. The third term, 46 * x, represents the amount you earned for your 40 hours of regular pay. The final term, 40, represents the number of hours you worked at your regular rate. By dividing both sides of the equation by 40, we can isolate x and solve for your normal hourly rate.

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Complete Question:

You are paid 1.5 times your normal hourly rate for each hour you work over 40 hours in a week. you worked 46 hours this week and earned $612.50. part a: which equation can you use to solve for x , your normal hourly rate?

ANSWER:

STEP-BY-STEP EXPLANATION:

We must interpret each sentence mathematically, just like this:

Less then would be a subtract

Product would be a multiplication

No more than would be equal or less than

Answer:        

.2n-7≤95

.2n≤102

n≤510

hope this helps

The probability of rolling a higher number on the second roll is 15/36 or approximately 0.42.

When rolling a die, each roll has an equal chance of landing on any of the six possible outcomes. Therefore, the probability of rolling any specific number on the first roll is 1/6, and the probability of rolling a number higher than the first on the second roll is also 1/6.

To find the probability of both events happening, we can use the multiplication rule of probability, which states that the probability of two independent events occurring together is equal to the product of their individual probabilities.

So, the probability of rolling a number on the first roll and then rolling a higher number on the second roll is:

P = (1/6) x (1/6)

However, since the question doesn't specify a particular number for the first roll, we need to consider all the possible outcomes for the first roll. These outcomes are mutually exclusive and have an equal chance of happening, so we can add their probabilities to find the overall probability of rolling a higher number on the second roll:

P = (1/6) x (5/6) + (1/6) x (4/6) + (1/6) x (3/6) + (1/6) x (2/6) + (1/6) x (1/6) + (1/6) x 0

Simplifying this expression, we get:

P = 15/36

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To find the value of the sculpture in 9 years, we can use the formula for compound interest:

V = P * (1 + r/100)^t

where V is the final value, P is the initial value (37,000), r is the annual interest rate (3.5%), and t is the number of years (9).

Plugging in the values into the formula, we get:

V = 37,000 * (1 + 3.5/100)^9

= 37,000 * 1.0355^9

= 37,000 * 1.978044

= approximately 73,656.78

So, the sculpture will be worth approximately 73,656.78 in 9 years if the owner's estimate is correct and its value increases by 3.5% every year.

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The bottom of the ladder is 9 feet from the wall.

Using the Pythagorean Theorem, we can calculate the distance from the wall. The Pythagorean Theorem states that for a right triangle, the sum of the squares of the sides is equal to the square of the hypotenuse. In this case, the hypotenuse is 15 feet and the side adjacent to the wall is 12 feet.

The formula for the Pythagorean Theorem is a^2 + b^2 = c^2.

We can solve for the distance from the wall (a). a^2 = c^2 - b^2, so a^2 = 15^2 - 12^2, which equals a^2 = 225 - 144, so a^2 = 81. Taking the square root of both sides, a = 9 feet.

Therefore, the bottom of the ladder is 9 feet from the wall.

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The required length of the RT is given as 38 units, in the triangle.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

here,

Given figure show is of the triangle where UV, VW, and UW are midsegments,
The property of triangles states that,
The length of the side is half of the line joining the midpoints of the adjacent of the triangle.
2VW = RT
RT = 2[19]
RT = 38

Thus, In the triangle, the required length of the RT is stated as 38 units.

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Answer:

No solution to any of the variables or equation

Step-by-step explanation:

Question 37:  The following is a solution to the differential equation y = t - 1. d.

Question 38:  The tea temperature be after a very long time is dT/dt = k(S - T); T ≈ 20 degrees after a very long time. a.

To determine the solution to the given differential equation: t²(d²y/dt²) - 6t(dy/dt) + 12 = 0, we can solve the equation by assuming a solution in the form of y = tⁿ, where n is a constant.

By differentiating y with respect to t, we can substitute the derivatives into the differential equation to determine the value of n.

Let's differentiate y = tⁿ with respect to t:

dy/dt = n × tⁿ⁻¹

d²y/dt² = n(n-1) × tⁿ⁻²

Substituting these derivatives into the differential equation:

t²(n(n-1)tⁿ⁻²) - 6t(ntⁿ⁻¹) + 12 = 0

Simplifying the equation:

n(n-1)tⁿ - 6ntⁿ + 12 = 0

n(n-1)tⁿ - 6ntⁿ = -12

Since this equation must hold for all values of t, the coefficients of the tⁿ terms on both sides of the equation must be equal.

We can equate the coefficients:

n(n-1) = 0

n = 0 or n = 1

The general solution to the differential equation is y = c₁ + c₂ × t, where c₁ and c₂ are constants.

According to Newton's law of cooling, the rate of change of the temperature T of an object is proportional to the temperature difference between the object's temperature T and the surroundings' temperature S.

We can write the differential equation as follows:

dT/dt = k(S - T)

dT/dt represents the rate of change of temperature, k is the proportionality constant, and (S - T) represents the temperature difference between the object and the surroundings.

The cup of tea starts at 100 degrees and cools to 50 degrees in 3 minutes, with the room temperature at 20 degrees.

We can assume that the temperature of the tea will tend toward the room temperature as time goes to infinity.

This option correctly represents that as time goes to infinity, the temperature T of the tea will approach the temperature S of the surroundings, which is approximately 20 degrees.

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The prosecutor claims that there is a 1% chance that the defendant would have the crime blood type if he were innocent, and thus, there is a 99% chance that he is guilty.

This is a fallacy known as the prosecutor's fallacy.The prosecutor's fallacy is an error in statistical reasoning that occurs when the probability of an event occurring given a particular hypothesis is incorrectly equated with the probability of the hypothesis given the event.

It is a common mistake in legal proceedings and forensic science.According to the prosecutor's argument, the probability of the defendant being innocent given the blood evidence is only 1%, while the probability of him being guilty is 99%. This argument is invalid because it equates the conditional probability of the hypothesis (the defendant being innocent or guilty) given the evidence with the inverse probability of the evidence given the hypothesis.

In other words, the prosecutor has taken the likelihood of observing the blood evidence given that the defendant is innocent and used it as evidence that the defendant is guilty. This is a logical fallacy, as it fails to take into account other factors that could account for the presence of the blood evidence and ignores the possibility that the defendant may be innocent. Therefore, the prosecutor's argument is wrong, and his conclusion that the defendant is guilty cannot be justified by the evidence.

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Answer: \(-8^{\circ}C\)

Step-by-step explanation:

Given

The temperature on Tuesday is \(1^{\circ}C\)

Temperature drops to \(-2^{\circ}C\) on Wednesday

Net drop in temperature \(1-(-2)=3^{\circ}C\)

The temperature drops twice from Wednesday to Thursday

\(\Delta T=2\times 3=6^{\circ}C\)

Temperature on Thursday

\(\Rightarrow -2-6=-8^{\circ}C\)

Answer:

b= sin(43°) * 8 / sin(55°) ≈ 6.7

Step-by-step explanation:

Regarding the law of sines, each angle corresponds to the side opposite of it. Here, that means that the 82 degree angle is opposite of side c (so they correspond) and that the 55 degree angle corresponds to the side with 8cm. However, we are trying to find the length of side b. Therefore, assuming that the side with 8cm is side A, if we know that

sin A / a = sinB/b = sin C / C

= sin(55°)/8 = sinB/b = sin(82°) / c, we can take c out of the equation to get

sin(55°)/8 = sinB/b

If we know sinB, we can multiply both sides by 8 to remove a denominator to get

sin(55°) * b / 8 = sinB

multiply both sides by 8 to remove the other denominator to get

sin(55°) * b = sinB * 8

divide both sides by sin(55°) to isolate the b

b = sinB * 8/sin(55°).

Therefore, if we know sinB, we can figure out the length of b.

Because the angles of a triangle add up to 180 degrees, we can say that

180 = 82 + 55 + angle B

180 = 137 + B

subtract both sides by 137 to isolate B

43 = B

b= sin(43°) * 8 / sin(55°) ≈ 6.7

Answer:

Step-by-step explanation:When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical. The graph of the parabola represented by the quadratic function y = a( x - p )2 + q has an axis of symmetry represented by the equation of the vertical line x = p.

Answer:

x=2

Step-by-step explanation:

symmetry= the hightest number x value. basically the halo of the quadratic.

Answer:

The answer 26, given that it’s atomic number is 26, and the atomic number is equal to the number of protons, which is equal to the number of electrons. Assuming that it has a neutral charge, the answer would be 26.

Step-by-step explanation:

Let's order from least to greatest:

• 100% = 1

• 17/16 = 1.0625

• 9/8 = 1.125

• 1.22

• 5/4 = 1.25

We ordered from least to greatest converting all the numbers and expressions given to decimals for an easier comparison.

The absolute maximum value and absolute minimum value for the function f(x, y) =x² + y² - 2y + 1  with given conditions is equal to 9 at (0,1) and 1 at (4,0) and (-4,0) respectively.

Absolute maximum and minimum values of function f(x ,y) on the set R.

Disk centered at the origin with radius 4 as x² + y²≤ 16

Critical points of f(x ,y) in R,

Partial derivatives of function f(x, y) ,

fx = 2x

⇒2x = 0

⇒ x =0

fy = 2y - 2

⇒2y - 2 = 0

⇒ y = 1

Critical point in set R = (0, 1)

Check the boundary of R, which is the circle of radius 4 centered at the origin.

Parameter of the circle are,

x = 4 cost

y = 4 sint

where t is a parameter ∈ 0 to 2π.

Substituting in f(x ,y), we get,

f(x ,y) = x² + y² - 2y + 1

        = 16 cos²t + 16 sin²t - 8 sint + 1

         = 17 - 8 sint

Since sint has a range of [-1,1]  we have,

f(x, y) = 9 at t = π/2

f(x, y) = 1 at t = 0, π

Absolute maximum value of f(x ,y) on R =  9 at (0,1)

Absolute minimum value of f(x, y) on R = 1 at (4,0) and (-4,0).

Therefore, the absolute maximum value and absolute minimum value  for the given function is  equal to 9 at (0,1) and 1 at (4,0) and (-4,0) respectively.

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To solve the inequality given by -n/7 ≤ 14 , -7 should be multiplied to both sides of the inequality .

Any monotonically rising function can, by definition, be applied to both sides of an inequality without changing their connection to one another (provided that both expressions are in the domain of that function).

The inequality is -n/7 = 14

or, -n ≤ 14 × 7

or, -n ≤ 98

or, n ≥ -98

Therefore the first step is solve the inequality is to multiply both sides by 7.

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Answer:

Step-by-step explanation:

Student's t test for correlated groups reduces to Student's t test for single samples using difference scores. Therefore, the correct answer is (b).

In a t test for correlated groups (also known as paired-samples or dependent-samples t test), the same group of participants is measured twice, under two different conditions or at two different times. The difference between the two measurements for each participant is calculated and used as the sample data. The t test for correlated groups compares the mean difference score to zero to determine if there is a significant difference between the two conditions or times.

This can be seen as equivalent to a t test for single samples using difference scores, where the mean difference score is compared to a known or hypothesized value of the population mean difference. In fact, the formula for calculating the t statistic is the same in both cases.

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Answer:

2

4

8

10

0

0

0

0

0

1

4

9

16

25

1

1

1

1

1

I'm smart I guess :)))))))))))

Among the given, the function that has a percent rate of decrease equal to 5% is: F(x) = 3(0.95)

Hence, option (D) is the correct choice.

For (A):

We have,

F(x) = 3(0.5), Here percentage rate decrease = 50%

For (B):

We have,

F(x) = 3(1.5), Here there is percentage rate increase which will be = 50%

For (C):

We have,

F(x) = 3(0.05), Here percentage rate decrease = 95%

For (D)

F(x) = 3(0.95)

Here, percent rate of decrease equal to 5%

This function represents the relationship between input x and the output y where y = 3(0.95^x).

The number 0.95 can be interpreted as 95% of the original value, which means a 5% decrease.

For (A):

We have,

F(x) = 3(1.05), Here there is percentage rate increase which is = 5%

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The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.

After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.

However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.

Dividing both sides by -2:

-2x / -2 > 18 / -2

This simplifies to:

x > -9

Therefore, the correct answer is x > -9.

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Answer:

y = -.01x - 100

Step-by-step explanation:

The formula of slope intercept is y = mx + b

It's already said m = slope and b is the y-intercept. So you just have to plug in the values.

y = -.01x + -100  

That's the same as saying....

y = -.01 - 100

Hope that helps and have a great day!

Answer:

p = 20

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtraction

~

Isolate the variable, p, by multiplying 4 to both sides of the equation:

\(5 = \frac{p}{4}\\ 5 (* 4) = \frac{p}{4} (* 4)\\ 5 * 4 = p\\p = 20\)

p = 20 is your answer.

~

When the value of pp=95 the value of qq will be equal to 6.

It is given that pp varies inversely with qq, so we can write that

pp=k/qq

where k is the proportionality constant.

here we can find the value of k by substituting the value of pp and qq with 19 and 30 in the relation that is given above, we get:

30=k/19

k=30*19

k=570

we the value of k to be 570 after putting the values in the relation.

Now if pp is changed to 95, and k is equal to 570 we can get the value of qq by putting the known values in the same relation.

pp=k/qq

qq=570/95

qq=6.

Therefore, when the value of pp is 95 the value for qq will be equal to 6.

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Answer:

11

Step-by-step explanation:

I divided 7.20 and 6 and got 1.2 so i did 13.20 divided by 1.2 and got 11

Answer: You can buy 11 candy bars.

Step-by-step explanation:

$7.20 =6

$7.20/6 =$1.20

$13.20/$1.20=11

Answer: 3

Reason: I just did 150 miles divided by 50, and I received the answer 3

I hope this helps, and Happy Holidays! :)

Answer:

point form : (-2 , -1)

equation form : x = -2 , y = -1

Step-by-step explanation:

( 5x + 9 = -2x - 5)

for y = 5x + 9 (substitute x = -2)

y = 5(-2) + 9 = -1