76.0835 rounded to the nearest ten thousandth?

Answer:

5

Step-by-step explanation:

24 divided by 3 is 8

so 15 divided by 3 is 5

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:

Genotype: 100% rr
phenotype: 100% white

Step-by-step explanation:

since there are no dominant genes the cross will definitely be a rr genotype

Answer:

Dude their answers are the same

Step-by-step explanation:

Adding a negative is the same as subtracting

Answer:

Yes, they're both correct

Step-by-step explanation:

They are both correct because both equations are equal. You could rewrite 7x + (-3) as 7x + 1(-3) and when you "distribute" the positive 1 the equation becomes 7x-3 which is the same thing as 7x-3. When you're subtracting 1 you're also technically adding negative 1

\(\sin^{2} \theta+\cos^{2} \theta=1 \\ \\ \sin^{2} \theta+\left(\frac{\sqrt{3}}{3} \right)^{2}=1 \\ \\ \sin^{2} \theta+\frac{1}{3}=1 \\ \\ \sin^{2} \theta=\frac{2}{3} \\ \\ \theta=-\frac{\sqrt{2}}{\sqrt{3}}=\boxed{-\frac{\sqrt{6}}{3}}\)

Answer:

675 devided bye 9 = 75

Step-by-step explanation:

Answer: 75 words per minute

Step-by-step explanation:

We can set this problem up similar to a ratio
675:9
Knowing that this is for 9 minutes, dividing by 9 will give you the amount per one minute
675/9   9/9
75:1 or 75 words per minute

Answer:

0.1

Step-by-step explanation:

Because it is in the tenths and the more zeros in front the less it is equal to

Answer:

13 square feet × 7 feet = 91 cubic feet

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Initially, 1/4 of the tank was filled.

After adding 12 gallons, it was 3/4 full.

Increase in fuel filled portion =

\(\dfrac{3}{4} -\dfrac{1}{4} =\dfrac{3-1}{4} =\dfrac{2}{4}\)

So 2/4 of the tank = 12 gallons

1/4 of tank \(= 12 \div 2 = 6\) gallons

4/4 of tank \(= 6\times4 = 24\) gallons

____________________

Portion remaining to be filled =

\(1-\dfrac{3}{4} =\dfrac{4-3}{4} =\dfrac{1}{4}\)

Fuel needed \(= \dfrac{1}{4} \times 24 = 6\) gallons

So you need 6 more gallons to fill the tank

The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.

To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:

a · b = |a| |b| cos(θ)

where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.

In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).

The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:

|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1

The dot product of the two vectors is:

a · b = (1)(15/17) + (0)(-8/17) = 15/17

So we have:

15/17 = (1)(1) cos(θ)

cos(θ) = 15/17

To find sin(θ), we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289

Taking the square root of both sides, we get:

sin(theta) = sqrt(64/289) = 8/17

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The probability that the next person will purchase no costume is 7/166 if the 7 visitors purchased no costume.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Total number of visitors = 7+143+16 = 166

Number of visitors purchased no costume = 7

The probability that the next person will purchase no costume:

= 7/166

Thus, the probability that the next person will purchase no costume is 7/166 if the 7 visitors purchased no costume.

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Answer:

(x + 7)/(x - 3)

Step-by-step explanation:

To simplify this expression, we first factor the numerator and denominator, and then cancel any common factors:

x² + 3x - 28 = (x + 7)(x - 4)

x² - 7x + 12 = (x - 3)(x - 4)

So the expression simplifies to:

(x + 7)(x - 4) / (x - 3)(x - 4)The (x - 4)

factor in both the numerator and denominator cancels out, leaving:

x + 7 / x - 3

Therefore, the simplified expression is (x + 7)/(x - 3)

Answer:

2 / 3

Step-by-step explanation:

( x1, y1 ) = ( - 2, 3 )

Here,

x1 = - 2

y1 = 3

( x2, y2 ) = ( - 14, - 5 )

Here,

x2 = - 14

y2 = - 5

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( - 5 - 3 ) / ( - 14 - ( - 2 ) )

          = - 8 / ( - 14 + 2 )

          = - 8 / - 12

Slope = 2 / 3

Answer:

x=300

Step-by-step explanation:

138=46%x

x=300

hope this helps!

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

46% = 138

100% = 300

The total number of cupcakes sold on that day is 300.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of mocha cupcakes sold in a day = 138

The percentage of mocha cupcakes sold in a day = 46%

The percentage of total cupcakes sold in a day = 100%

Now,

46% = 138

Multiply 100/46.

100/46 x 46% = 100/46 x 138

100% = 300

Thus,

The total number of cupcakes sold on that day is 300.

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The solutions of the equation are x = 15 and -20

The equation is given as

the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0

Rewrite properly as

|2/5x + 1| - 7 = 0

Add 7 to both sides of the equation

|2/5x + 1| = 7

Remove the absolute bracket

2/5x + 1 = 7 and 2/5x + 1 = -7

This gives

2/5x = 6 and 2/5x = -8

Multiply both sides by 5/2

x = 15 and -20

Hence, the solutions of the equation are x = 15 and -20

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Answer:

x = 15 and -20

Step-by-step explanation:

Answer:

This is an 8 by 4 triangle

Step-by-step explanation:

It was asking for the dimensions of the rectangle

Answer: 0.5

Step-by-step explanation:

If the probability of the time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. Therefore, the probability that a flight is between 125 and 140 minutes is 0.5

Answer:

===================================================

Explanation:

If 60% of the sample are pink salmon, then an estimate of the number of salmon in the population (aka the entire pond) is:

60% of 44 = 0.60*44 = 26.4 which rounds to 26 pink salmon

--------------

If 20% are yellowfin tuna, then we estimate there are 0.20*44 = 8.8 = 9 yellowfin tuna in the pond.

--------------

If 20% are bluegill, then we predict there are 0.20*44 = 8.8 = 9 bluegill

--------------

As a check:

salmon + tuna + bluegill = 26+9+9 = 44 fish total

The minimum number of aunts that Shamar must have based on the information provided is 10.

It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:

Uncles: 10, 20, 30, 40, 50

Aunts: 5, 10, 15, 20, 25

In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.

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Answer: the probability that a child is within the normal range of long growth is 0.8664

Step-by-step explanation:

Given that;

A child is considered to have a normal long growth if his or her standardized FVC is within 1.5 standard deviation of the mean.

he probability that a child is within the normal range of long growth = ?

so we need to find

P( -1.5 < z < 1.5)  

which can also be represented as;

⇒2 × ( 0 < z < 1.5)

so we have

⇒ 2 × 0.4332

= 0.8664

Therefore the probability that a child is within the normal range of long growth is 0.8664

After answering the presented question, we may conclude that  As a percentage result, around 74.43 grammes of the drug will remain after 18 hours.

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also used on occasion. However, it is commonly indicated using the percent symbol "%." The % amount has no dimensions. Percentages are just fractions with a denominator of 100. Place a percent sign (%) next to a number to indicate that it is a percentage. For example, if you answer 75 out of 100 questions properly on a test (75/100), you score a 75%. Divide the money by the total and multiply the result by 100 to calculate percentages. The percentage is derived by multiplying (value/total) by 100%.

A substance's radioactive decay rate is expressed as a percentage per unit time. This indicates that the amount of material left after each unit of time will be lowered by the set percentage.

We may use the exponential decay formula to this problem:

\(N(t) = N_0 * e^{(-kt)}\)

where:

N₀  = starting drug quantity

N(t) = the amount of material that remains after time. t k = decay constant (related to decay rate)

t = the amount of time that has passed

To calculate the amount of material left after 18 hours, we must first determine the value of k. Using the rate of decay stated in the issue, we may accomplish the following:

\(3.75% = k * 1 hour\\k = 0.0375/hour\\N(18) = 150 * e^{(-0.0375*18)}\\N(18) = 74.43 grams \\\)

As a result, around 74.43 grammes of the drug will remain after 18 hours.

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Fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of first prism with sides 2, 1.5 and 3.2

Volume=2×1.5×3.2

=9.6 in³

The volume of second prism with sides 1.5, 1.5 and 6

Volume=1.5×1.5×6

=13.5 in³

The volume of third prism with sides 2, 5/2 and 7/2

Volume=2×2.5×3.5

=17.5 in³

The volume of fourth prism with sides 1/2, 1/2 and 1/2

Volume=0.5×0.5×0.5

=0.125 in³

Hence fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.

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a) The smallest number of tiles needed to make a square is 3.

b) The smallest number of tiles needed to make a square is 11.

a) To make a square using rectangular tiles that are 12 cm long and 4 cm wide, we need to find the side length of the square that is divisible by both 12 and 4. The smallest common multiple of 12 and 4 is 12, so a square with a side length of 12 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 12 cm ÷ 4 cm = 3.

Therefore, the smallest number of tiles needed to make a square is 3.

b) To make a square using rectangular tiles that are 11 cm long and 3 cm wide, we need to find the side length of the square that is divisible by both 11 and 3. The smallest common multiple of 11 and 3 is 33, so a square with a side length of 33 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 33 cm ÷ 3 cm = 11.

Therefore, the smallest number of tiles needed to make a square is 11.

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Answer:

5800

Step-by-step explanation:

Answer:

should be 15...

Step-by-step explanation:

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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Answer:

2x

Step-by-step explanation:

2x + 4x + x = 7x

good luck, i hope this helps :)

Answer:

2x

Step-by-step explanation:

x with no coefficient is 1x

4x+1x=5x

7x-5x= 2x   (ur answer)