How do you calculate the distance traveled by an object by first calculating when it is stopped?

The standard deviation of the mean birth weights for samples of 100 babies is 50 grams.

The standard deviation of the mean birth weights for samples of 100 babies can be calculated using the formula:

Standard deviation of the mean = Standard deviation of the population / sqrt(sample size)

Given that the standard deviation of birth weights for individual babies in the population is 500 grams, and the sample size is 100, we can plug in these values into the formula:

Standard deviation of the mean = 500 / sqrt(100) = 50 grams

Therefore, the standard deviation of the mean birth weights for samples of 100 babies is 50 grams.

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Answer:

a = -2 b = -3

Step-by-step explanation:

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Since the gravitational force is directly proportional to the mass, we can see that Satellite D has the greatest mass and therefore the greatest gravitational force with Earth. Therefore, the correct option is D.

To determine which satellite has the greatest gravitational force with Earth, we need to use the formula for gravitational force, which is:

force = (G x m1 x m2) / r^2

where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the objects.

Since the mass of Earth is much greater than any of the satellites, we can assume that the distance between Earth and each satellite is the same. Therefore, we can compare the gravitational force of each satellite with Earth by calculating:

force = (G x Earth's mass x satellite's mass) / distance^2

Using this formula and plugging in the given values, we get:

For Satellite A: force = (G x Earth's mass x 375 kg) / (320 km)^2

For Satellite B: force = (G x Earth's mass x 250 kg) / (320 km)^2

For Satellite C: force = (G x Earth's mass x 50 kg) / (320 km)^2

For Satellite D: force = (G x Earth's mass x 500 kg) / (320 km)^2

Therefore, the correct option is D.

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a. The difference between the high and the low prices on October 20 was $3.33.

b. The actual volume of Discovery Group shares posted on October 27 was 23,600.

c. The closing price for Discovery Group on October 19 was $38.50

The percentage decrease is calculated below as follows:

closing price on October 19 = $38.50

the opening price on October 20 = $37.22

the percentage decrease in prices = (37.22 - 38.50) / 38.50

the percentage decrease in prices = -3.33% to the nearest hundredth

e. The net change =  $32.00 - $38.50

The net change = -$6.50.

The percentage change = (-6.50 / 38.50) * 100

The percentage change  = -16.9% to the nearest tenth percent

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Answer:

[tex]4\frac{1}{5} cups[/tex]

Step-by-step explanation:

Let's start by setting up a ratio for the recipe.

First, rewrite 2 and 4/5 as an improper fraction.

[tex]2\frac{4}{5} = \frac{14}{5}[/tex]

We know that for every 2/3 cup of flour, we need 14/5 cups of sugar. So, our ratio will be:

[tex]\frac{2}{3} :\frac{14}{5}[/tex]

We want to find how many cups of sugar we'd need for 1 cup of flour. Let s represent the cups of sugar. Let's set up another ratio (flour to sugar):

[tex]1:s[/tex]

Now, since you're following the same recipe, let's set the ratios equal to make a proportion, like so:

[tex]\frac{2}{3} :\frac{14}{5} =1:s[/tex]

Multiply the means and extremes, set their products equal, and solve.

[tex]\frac{2}{3}s=\frac{14}{5}*1=\\s=\frac{3}{2} *\frac{14}{5} =\\s=\frac{21}{5}[/tex]

Let's turn 21/5 into a mixed number.

[tex]\frac{21}{5} =4\frac{1}{5}[/tex]

So, if you used one cup of flour, you would need [tex]4\frac{1}{5}[/tex] cups of sugar.

Answer:

it is 12 percent

Step-by-step explanation:

your welcome

The solution of the expression is x = (-1 ± i√3)/2 and the domain of the expression is all values of x l x ≥ 0 (option c).

The given equation is -x² = √x. To solve this equation, we need to isolate x on one side of the equation. We begin by squaring both sides of the equation to eliminate the radical:

(-x²)² = (√x)²

x⁴ = x

Now we have a quartic equation, which we can solve by factoring:

x(x³ - 1) = 0

We can further simplify this equation by factoring the cubic term using the difference of cubes formula:

x(x - 1)(x² + x + 1) = 0

From this factorization, we can see that the solutions are x = 0, x = 1, and the solutions of the quadratic factor x² + x + 1 = 0. To find the solutions of the quadratic, we can use the quadratic formula:

x = (-1 ± √1 - 4(1)(1))/2(1)

x = (-1 ± i√3)/2

Therefore, the solutions to the equation -x² = √x are x = 0, x = 1, and x = (-1 ± i√3)/2.

Now let's consider the domain of the solutions, which is determined by the inequality x ≥ 0. This inequality means that the solutions must be greater than or equal to 0. We can see that x = 0 and x = 1 satisfy this inequality.

For the solution x = (-1 ± i√3)/2, we can see that it does not satisfy the inequality x ≥ 0 because it is negative. Therefore, the solutions to the equation -x² = √x in the domain x ≥ 0 are x = 0 and x = 1.

Finally, let's consider the inequality x ≤ 0. This inequality means that the solutions must be less than or equal to 0. We can see that x = 0 satisfies this inequality. However, x = 1 and x = (-1 ± i√3)/2 do not satisfy this inequality. Therefore, the solutions to the equation -x² = √x in the domain x ≤ 0 are x = 0.

Hence the correct option is (c).

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Complete Question:

Solve the expression -x² = √x . And identify the domain of the expression,

A. all values of x

B. all values of x l x ≥ 1

C. all values of x l x ≥ 0

D. all values of x l x ≤ 0

Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

Applying the side-splitter theorem, the value of x in the image given is calculated as: x = 5.

The Side-Splitter Theorem states that if a line is drawn parallel to one side of a triangle and intersects the other two sides, the ratio of the length of the two segments of the divided sides is equal to the ratio of the lengths of the sides that form the two smaller triangles.

Using this theorem, we van apply it to solve for x in the image given:

24x/(24x - 50) = 84/49

Solve for x:

24x(49) = 84(24x - 50)

1,176x = 2,016x - 4,200

1176x - 2016x = -4200

-840x = -4,200

x = -4200/-840

x = 5

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The point on the number line that represents the amount of liquid each beaker will contain after the liquid has been distributed among the 4 beakers is the option B

(B) Point Bi

A number line is a line that consists of numbers marked at intervals, which indicates quantities, and can be used for numerical operations.

The amount of liquid in the each of the four beakers are;

1/8, 1/8, 6/8, 6/8

The sum of the liquid in the four beakers is therefore;

1/8 + 1/8 + 6/8 + 6/8 = (1 + 1 + 6 + 6)/8 = 14/8

When the same amount of liquid are in each beaker, we get;

The point on the number line corresponding to the point 3.5/8 is the point B, therefore, the correct option is the option B

(B) Option B

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The number of outcomes that are in the sample space = 20

The number of outcomes that are in the event = 5

To calculate the probability of an event, the formula that should be used is given as follows;

Probability = possible event/sample space.

possible outcome = 5

sample space = 20

Probability = 5/20 = 1/4

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Answer:

B

Step-by-step explanation:

Its easy

The x-coordinate when Q has a y-coordinate of -4 is given as follows:

x = 3 or x = -3.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle that pass through the center. Hence, the diameter’s length is twice the radius length.

The circle in this problem has the parameters given as follows:

Hence the equation is given as follows:

x² + y² = 25.

When the y-coordinate is of -4, the x-coordinate is given as follows:

x² + (-4)² = 25

x² + 16 = 25

x² = 9

x = -3 or x = 3.

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Answer: A and D as for angle 24 deg, we are using the sin=opp/hyp and for angle 66 we are using cos=adj/hyp.

To find angle 66, you just subtract all 180 by the angles we know. 180-24-90.

Answer: 3:1

Step-by-step explanation:

Answer: A Rectangular prism 

The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

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Six and forty-seven thousandths.

or six point zero four seven.

the answer depends on what you have to write.

Hope this helps!

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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Step-by-step explanation:

To find the number that is 175% of 31, we can use the following formula:

175% of X = 31

Mathematically, we can represent 175% as 1.75 (since percentage is a ratio out of 100).

So, the equation becomes:

1.75 * X = 31

To solve for X, we divide both sides of the equation by 1.75:

X = 31 / 1.75

Using a calculator, we can evaluate the right-hand side to find the value of X:

X ≈ 17.714

So, 175% of approximately 17.714 is equal to 31.

Answer:

17.714

Step-by-step explanation:

Answer:

  (d)  3 × [A2] + [A1] ⇒ [B1]

  (c)  -2 × [B1] + [B2] ⇒ [C2]

Step-by-step explanation:

Given three systems of equations, you want to know the operations that transform one system to the next.

Equation B2 is unchanged from equation A2, eliminating choices B and C.

Equation B1 is not a simple multiple of equation A1, eliminating choice A.

Knowing the answer is choice D, we need to find the multiplier k of equation A2 that is being added to A1. We can find that using the x-coefficients:

  k(-3) +5 = -4

  -3k = -9 . . . . . subtract 5

  k = 3 . . . . . . . divide by -3

Then we have ...

  3 × [A2] + [A1] ⇒ [B1] . . . . . . . choice D

Using the same tactics as above, we see that [C1] is unchanged from [B1], eliminating choices A and D.

[C2] is not a simple multiple of [B2], eliminating choice B.

Using the y-coefficient to find k, we have ...

  k(1) +2 = 0

  k = -2 . . . . . . . . subtract 2

Then we have ...

  -2 × [B1] + [B2] ⇒ [C2] . . . . . . . . choice C

__

Additional comment

We found the equation multiplier, which we called "k", by looking at an arbitrary variable coefficient. Which of the numbers we use in this process is immaterial. That is, we could use either coefficient, or the right-side constant, and we would get the same result.

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Answer:

To find out how many giant parade balloons could be filled with 6.2 billion cubic feet of helium, we can divide the total volume of helium by the volume of one balloon:

Number of balloons = Total volume of helium / Volume of one balloon

First, we need to convert 6.2 billion cubic feet to cubic feet:

6.2 billion = 6,200,000,000

Now we can calculate the number of balloons:

Number of balloons = 6,200,000,000 / 700,000

Number of balloons = 8,857.14

So, approximately 8,857 giant parade balloons could be filled with 6.2 billion cubic feet of helium.

The graph of the function q(x) = -9/2x^2 is a downward-facing parabola with vertex at the origin (0, 0).

The graph of the quadratic function q(x) = -9/2x^2 is a downward facing parabola because the coefficient of x^2 is negative. The vertex of the parabola can be found by using the formula x = -b/2a, where a is the coefficient of x^2 and b is the coefficient of x. In this case, a = -9/2 and b = 0, so the vertex is at x = 0.

To find the y-coordinate of the vertex, we substitute x = 0 into the equation q(x) = -9/2x^2. This gives us q(0) = 0, so the vertex is at the point (0, 0).

Since the coefficient of x^2 is negative, the graph of the function opens downwards. The value of the function decreases as we move away from the vertex in either direction.

Therefore, the graph of the function q(x) = -9/2x^2 is a downward-facing parabola with vertex at the origin (0, 0).

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Answer:

1) 1.5 meters

2) 75° or (5/12)π radians

3) A = (5/12)πr^2

4) A = (5/12)π(1.5^2)

= 15π/16 square meters

= about 2.95 square meters

The integer that represents the amount of time in seconds the ball takes to reach the end of the ramp is 9.

To find the amount of time in seconds it takes for the ball to reach the end of the ramp, we need to divide the total distance by the rate of descent.

The total distance the ball needs to travel is 18 feet, and it descends 2 feet each second.

Therefore, the time it takes for the ball to reach the end of the ramp can be calculated as follows:

time = distance / rate

time = 18 feet / 2 feet/second

time = 9 seconds

So, the integer is 9.

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A polygon with n sides is simply referred to as an n-gon.

A polygon with n sides is simply referred to as an n-gon. This naming convention allows for any polygon to be easily identified based on the number of sides it has, without the need for a specific name for every possible number of sides.

For example, a polygon with 3 sides is called a triangle, a polygon with 4 sides is called a quadrilateral, while a polygon with 5 sides is called a pentagon. However, for polygons with sides greater than 12, the names become less commonly used, and n-gon is often used instead as a general term to describe any polygon with n number of sides.

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A polygon with a number of sides, n, that does not have a special name is typically referred to as an "n-gon".

A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end. As a result, a polygon's line segments are referred to as its sides or edges. Vertex or corners refer to the intersection of two line segments, where an angle is created. Having three sides makes a triangle a polygon. A circle is a plane figure as well, but it isn't regarded as a polygon because it's curved and lacks sides and angles. So, while all polygons are two-dimensional shapes, not all two-dimensional figures are polygons.

For example, a polygon with 5 sides would be called a pentagon, but a polygon with 7 sides would simply be called a heptagon or a 7-gon.

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A function can have zero to many parameters, and it can return only one (option c).

In mathematics, a function is a rule that maps each element from one set, called the domain, to a unique element in another set, called the range.

The number of parameters a function can take determines the number of arguments required to call the function.

For instance, a function f(x) takes one parameter, and it requires one argument to be called.

On the other hand, a function g(x,y,z) takes three parameters, and it requires three arguments to be called. However, a function h() takes no parameters and does not require any argument to be called.

Hence the correct option is (c).

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The only prism with a volume between 10 and 20 cubic inches is Prism C, which has a volume of 16 cubic inches.

To find the volume of each prism, we need to use the formula of volyume for prisms which is: Volume = Base Area x Height. Now we will go ahead to find the volumes for all the prisms as follows:

Prism A:

Base Area = 4 x 5 = 20

Height = 2

Volume = 20 x 2 = 40 cubic inches

Prism B:

Base Area = 3 x 4 = 12

Height = 3

Volume = 12 x 3 = 36 cubic inches

Prism C:

Base Area = 4 x 4 = 16

Height = 1

Volume = 16 x 1 = 16 cubic inches

Prism D:

Base Area = 4 x 4 = 16

Height = 6

Volume = 16 x 6 = 96 cubic inches

So, the prism whose volume falls between 10 to 20 is the third prism.

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The expression (x^2 -3x+7) cannot be simplified further because there are no like terms to combine or any other operations to perform. It is already in its simplest form.

The expression (x^2 -3x+7) is a quadratic expression, meaning it has a degree of 2. It cannot be simplified further because there are no like terms to combine, which is the only operation that can be performed to simplify polynomials.

To understand this, let's look at the individual terms of the expression. The term x^2 is the highest degree term, which means it has the greatest power of x.

The term -3x is the linear term, which means it has a degree of 1. And the constant term is 7, which means it has a degree of 0.

Since the terms have different degrees and there are no like terms, there is no way to simplify the expression any further.

Therefore, (x^2 -3x+7) is already in its simplest form.

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