The distance between two asteroids was calculated at 37,500,000,000 kilometers. What is this value expressed in scientific notation?

Answer:

20 Soda Bottles.

Step-by-step explanation:

I have done questions like this before.

The solutions that satisfy the constraints are the ordered pairs of (A, B) in the feasible region.

To find the solutions to this system of linear equations with constraints, we can use the graph method. We can first graph the lines 4A + 2B = 12 and 4A + 2B = 24, and then find the region where the solutions are located. The line 4A + 2B = 12 represents the equation of a straight line, and the line 4A + 2B = 24 also represents the equation of a straight line. The region where both lines intersect is the feasible region, i.e., the region where the solutions (A and B) are located.

Next, we can graph the constraint 4A + 2B ≤ 12 and find the region where the solutions are located that satisfies this constraint. The region above the line 4A + 2B = 12 and below the line 4A + 2B = 24 is the feasible region that satisfies both the constraints 4A + 2B = 12 and 4A + 2B ≤ 12.

Finally, the solutions that satisfy the constraints are the ordered pairs of (A, B) in the feasible region.

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Answer:

02

Step-by-step explanation:

Answer:

Input Value = 02

Step-by-step explanation:

2 multiplied by 4 is 8.

You could also divide 8 by 4 to get 2 to check your work.

Dr. Ramirez has chosen a longitudinal research design for her study with adolescent participants. In this design, she will measure the number of hours of sleep the participants get each night over a period of 8 years. The participants in this study are a group of 13-year-olds who were all born in the same month.

The longitudinal design involves studying the same group of individuals over an extended period of time to track changes and developmental patterns. In this case, Dr. Ramirez will meet with the participants every 6 months for 8 years to collect data on their sleep duration. This design allows her to observe how sleep patterns change throughout the period of adolescent development.

By choosing a group of 13-year-olds born in the same month, Dr. Ramirez ensures that the participants are similar in terms of their age and potential developmental factors. This helps to minimize the impact of age-related differences on the sleep patterns being measured.Overall, the longitudinal research design allows Dr. Ramirez to examine how sleep duration changes over time in a specific group of adolescents, providing valuable insights into the developmental trajectory of sleep patterns during adolescence.

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Answer:

0 0 6

0 6 0

6 0 0

Step-by-step explanation:

Simple place value

Answer:

41

Step-by-step explanation:

A prime number is a whole number (bigger than 1) that is divisible only by itself and 1.

The first 6 prime numbers are 2, 3, 5, 7, 11 and 13.

2 + 3 + 5 + 7 + 11 + 13 = 41.

Answer: 41

Step-by-step explanation: We know that the first 6 prime numbers are 2, 3, 5, 7, 11, 13. We add them all and get 41!

The slope of the given lines are:

Graph 1 = 1/3

Graph 2 = -1/3

Graph 3 = 3

Graph 4 = -3

To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:

Slope of a line (m) = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\).

Find the slope of Graph 1:

Using two points on the line, (0, 0) and (3, 1):

Slope of graph 1 (m) = (1 - 0)/(3 - 0)

Slope of graph 1 (m) = 1/3

Find the slope of Graph 2:

Using two points on the line, (0, 0) and (-3, 1):

Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3

Slope of graph 2 (m) = -1/3

Find the slope of Graph 3:

Using two points on the line, (0, 0) and (1, 3):

Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1

Slope of graph 3 (m) = 3

Find the slope of Graph 4:

Using two points on the line, (0, 0) and (-1, 3):

Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1

Slope of graph 4 (m) = -3

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Step-by-step explanation:

I think you are clear. You can follow me to get more answer.

Answer:

 No

Step-by-step explanation:

You want to know if the set of even integers has the density property.

The density property states that for any two elements of a set, there are additional elements of the set between them.

There are no even integers between any two consecutive even integers, so the set of even integers does not have the density property.

Answer:

The answer is a

Step-by-step explanation:

my brother is very smart

The percentage change is,

⇒ 5%

We have to given that,

The price of a chair increases from £258 to £270.90.

Since we know that,

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Hence, We get;

the percentage change is,

P = (270.9 - 258)/258 × 100

P = 1290 / 258

P = 5%

Thus,  the percentage change is , 5

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There are 1078 different combinational methods to choose five baseball players and four basketball players from a pool of twelve baseball players and thirteen basketball players.

5 baseball players and 4 basketball players are chosen from a pool of 12 baseball players and 13 basketball players.

This is an issue of combination.

The combination is a way of estimating an event's total outcome when the sequence of the outcomes is irrelevant.

The formula is as follows: \({}^{n}C_{r}\) = n! ÷ (r! × (n - r)!)

Where n is the total number of things and r is the number of items picked at one time.

Let us first compute 5 baseball players from a total of 12 baseball players.

In this case, n = 12 and r = 5.

\({}^{12}C_{5}\) = 12! ÷ (5! × (12 - 5)!)

\({}^{12}C_{5}\) = 12! ÷ (5! × 7!)

The factorial of n for a number n is expressed as:

n! = n × (n-1) × (n-2) × (n-3) × .... × 2 × 1

Therefore,

\({}^{12}C_{5}\) = 12! ÷ (5! × 7!)

\({}^{12}C_{5}\) = 792

Similarly, 3 basketball players are chosen from a pool of 13 basketball players (n = 13 and r = 3).

\({}^{13}C_{3}\) = 13! ÷ (3! × (13 - 3)!)

\({}^{13}C_{3}\) = 13! ÷ (3! × 10!)

The factorial of n for a number n is expressed as:

n! = n × (n-1) × (n-2) × (n-3) × .... × 2 × 1

Therefore,

 \({}^{13}C_{3}\) = 13! ÷ (3! × 10!)

 \({}^{13}C_{3}\) = 286

As a result, the total number of methods is as follows:

\({}^{12}C_{5}\) + \({}^{13}C_{3}\) = 792 + 286

\({}^{12}C_{5}\) + \({}^{13}C_{3}\) = 1078

As a result, there are 1078 distinct methods.

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the sample is truly representative of all horses in the state, and that there are no biases or confounding factors that might affect the proportion of stallions in the sample.

If we assume that the horses constitute a random sample of all horses in the state, then we can estimate the probability that a randomly selected horse is a stallion by calculating the proportion of horses in the sample that are stallions. Let's assume that we have a sample of n horses, and that x of these horses are stallions. Then the estimated probability of selecting a stallion is:

x/n

For example, if we had a sample of 100 horses and 25 of them were stallions, the estimated probability of selecting a stallion would be:

25/100 = 0.25 or 25%

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Answer:

Step-by-step explanation:

brainleist bunch☺️

Answer:

64

Step-by-step explanation:

Hope it helps!

Answer:

64

Step-by-step explanation:

parenthesis first

(4-2)= 2

2x32= 64

Answer: 6 - 16v

Step-by-step explanation:

8(3/4 - 2v)

distributive property is to multiply or distribute the number on the outside to the numbers on the inside of the parenthesis so

8 x 3/4 = 6

8 x 2v = 16v

answer = 6-16v

From the various triangle proofs below, we have been able to show that; 3A F = AC

A median of a triangle is defined as a line segment from a vertex of the triangle to the midpoint of the side opposite that vertex.

We are given that;

AD is the median of ΔABC.

E is the midpoint of AD

Through D, we draw DG parallel to BF

In ΔADG, E is the midpoint of AD and EF is parallel to DG

By using the converse of midpoint theorem, we have;

F is midpoint of AG and A F = FG     ------(eq 1)

Likewise, In ΔBCF ;

D is the midpoint of BC and DG is parallel to BF  

G is midpoint of CF and FG is congruent to GC (FG ≅ GC) .........(eq 2)

From equations 1 and 2, we will get;

A F = FG = GC     -------(3)

Thus;

A F + FG + GC = AC

A F + A F + A F = AC (from eq 3)

3A F = AC

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answer this fully! i need to know what x equals

X equal minus 0.5

Answer:

c. 9

Step-by-step explanation:

-8x+4=-6x-12-2

-8x+6x=-12-2-4

-2x=-18

2x=18

x=18/2

x=9

Answer:

C. \(9\)

Step-by-step explanation:

\(-4(2x -1) = -6(x +2) -2 \\ -8x +4 = -6x -12 -2 \\ -8x +4 = -6x -14 \\ -8x +4 +6x = -6x -14 +6x \\ - 2x +4 = -14 \\ - 2x +4 -4 = -14 -4 \\ -2x = -18 \\ \frac{-2x}{-2} = \frac{-18}{-2} \\ x = 9\)

The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

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Given

The domain

Domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.

y-intercept

The y-intercept of a graph is the point where the graph crosses the y -axis.

x-intercept

The x-intercept is the point at which the graph crosses the x-axis.

Range

The range of a function is the set of its possible output values.

Vertical asymptote

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it.

Answer:30

Step-by-step explanation: act like both of the triangles are there, that is a rectangle 6 times 10 equals 60. 60 divided by 2 is 30

Answer:

g^3 - 7

Step-by-step explanation:

write

(2g^2+3g-8)-(5g+1)

(5g^3-8)-(5g+1)

and then you get g^3 - 7

sorry if it is not write but it should be

Answer:

$659

Step-by-step explanation:

Interest Kevin will get after 5 years

= 600×(2.8%x5)=$84

Amount he will have after 5 years including fees

=600+84-5×5=$659

Answer:

Step-by-step explanation:

12 x + 4 y = 42 .............1

16 x + 8 y = 64 .............2

Eliminate y

multiply (1)by -2

Multiply (2) by 1

-24 x -8 y = -84

16 x 8 y = 64

Add the two equations

-8 x = -20

Answer:

$2.6 for 25 pound bag; $2.8 for 30 pound bag

Step-by-step explanation:

To figure out the cost per pound, you need to divide the cost by the total number of pounds. So, for the 25 pound bag, divide 65 by 25 to get $2.6. For the 30 pound bag, divide 84 by 30 to get 2.8.                        

To find the area of the reduced map, we need to calculate the area of the original map and then scale it down using the given scale factor of 2/3.

The reduced map will take up approximately 8.75 square inches.

The original map has a length of 21 inches and a width of 15 inches. To find the area of the original map, we multiply the length by the width:

Area of the original map = 21 inches * 15 inches = 315 square inches.

Next, we need to scale down the area using the scale factor of 2/3. To scale down an area, we square the scale factor:

Scaled down area = \((2/3)^2\) * 315 square inches = 4/9 * 315 square inches = 140 square inches/3 ≈ 8.75 square inches.

Therefore, the reduced map will take up approximately 8.75 square inches.

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The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

We have,

Increasing the minimum wage to $8.00 per hour can have some impact on the demand for clothes.

Here are a few potential effects to consider:

Increased purchasing power:

When the minimum wage is increased, low-wage workers have more disposable income. This extra income can lead to increased consumer spending, including on clothing.

As a result, there could be a boost in the demand for clothes as more people can afford to purchase new clothing items.

A shift in consumer preferences:

With a higher minimum wage, individuals who previously had limited resources may now have the ability to choose higher-quality clothing or purchase from more expensive brands.

This shift in consumer preferences could lead to changes in the demand for different types of clothes and potentially result in an increase in demand for higher-end or premium clothing.

Price sensitivity:

While an increase in the minimum wage may provide workers with more spending power, some individuals may still be price-sensitive and prefer more affordable clothing options.

As a result, there may be continued demand for lower-priced clothing items or a preference for sales and discounts.

Employment and production costs:

An increase in the minimum wage could potentially lead to higher labor costs for clothing manufacturers and retailers.

To mitigate these increased costs, businesses may take steps such as adjusting their pricing strategies, implementing cost-saving measures, or exploring more efficient production methods.

These factors could impact the overall supply of clothes and potentially influence prices.

Thus,

The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

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The standard deviation for the number of people with the genetic mutation in such groups of 100 is 1.4

From the information given,

About 2% of the population has a particular genetic mutation, and 100 people are randomly selected.

The standard deviation for the number of people with the genetic mutation in such groups of 100 is obtained below;

The required standard deviation is,

p = 0.02 and n = 100;

1 - p = 1 - 0.02

       = 0.98

σ = \(\sqrt{n*(1-p)*p}\)

σ = \(\sqrt{100*0.02*0.98}\)

σ = 1.4

The standard deviation for the number of people with the genetic mutation in such groups of 100 is 1.4

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After considering all the given data we conclude that the a) the limit of f(x)/g(x) as x approaches infinity is a/d, b) the equation of the tangent line to the curve\(y + x^3 = 1 + 3xy^3\)at the point (0, 1) is y = 3x + 1 and c) the function \(f(x) = x^{(-a)}\)is a power function with a negative exponent.

To evaluate the limit of \(\frac{f(x) }{g(x) }\) as x approaches infinity, we need to apply division for leading the terms of f(x) and g(x) by x².

Let \(f(x) = ax^2 + bx + c\)and \(g(x) = dx^2 + ex + f\) be two polynomials of degree 2.

Then, the limit of  \(f(x)/g(x)\)as x approaches infinity is:

\(lim f(x)/g(x) = lim (ax^2/x^2) / (dx^2/x^2) = lim (a/d)\)

Then, the limit of \(f(x)/g(x)\) as x approaches infinity is a/d.

To evaluate the equation of the tangent line to the curve \(y + x^3 = 1 + 3xy^3\)at the point (0, 1),

we need to calculate the derivative of the curve at that point and apply it to find the slope of the tangent line.

Taking the derivative of the curve with respect to x, we get:

\(3x^2 + 3y^3(dy/dx) = 3y^2\)

At the point (0, 1), we have y = 1 and dy/dx = 0. Therefore, the slope of the tangent line is:

\(3x^2 + 3y^3(dy/dx) = 3y^2\)

\(3(0)^2 + 3(1)^3(0) = 3(1)^2\)

Slope = 3

The point (0, 1) is on the tangent line, so we can apply the point-slope form of the equation of a line to evaluate the equation of the tangent line:

\(y - y_1 = m(x - x_1)\)

\(y - 1 = 3(x - 0)\)

\(y = 3x + 1\)

Therefore, the equation of the tangent line to the curve \(y + x^3 = 1 + 3xy^3\)at the point (0, 1) is \(y = 3x + 1.\)

For a positive integer a, the function \(f(x) = x^{(-a)}\) is a power function with a negative exponent. The domain of f(x) is the set of all positive real numbers, since x cannot be 0 or negative. .

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The complete question is

1) Pick two (different) polynomials f(x), g(x) of degree 2 and find lim f(x). x→∞ g(x)

2) Find the equation of the tangent line to the curve y + x3 = 1 + 3xy3 at the point (0, 1).

3) Pick a positive integer a and consider the function f(x) = x−a

Need answered ASAP written as clear as possible

Answer:

  B. secondary roads

Step-by-step explanation:

While all of streets, county roads, and secondary roads are generally designed to carry less traffic and/or have lower speed limits than interstate highways, the generic name for such roads is ...

  secondary roads.