How many millions are needed for a trillion.

Answer:

A counterclockwise rotation of 270° about the origin

Step-by-step explanation:

Answer: x = 22.7

Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500

Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300

Reduce the fraction:2 x/23 = 105/53

Convert exponential to logarithm form: x/23 = long^2 105/53

Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23

Rewrite the expression: x = 23 long^2 105/53

Round the number: x = 22.7

Answer: x = 22.7

The volume of the rectangular prism is 3359232 cubic centimeters

The length of the cube is given as:

Length, l = 12 cm

The volume of a cube is:

\(V = l^3\)

So, we have:

\(V = 12^3\)

Evaluate

V = 1728

The volume of 1944 cubes is then calculated as:

Volume = 1728 * 1944

Evaluate

Volume = 3359232

Hence, the volume of the rectangular prism is 3359232 cubic centimeters

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There are exactly 1,944 of the 12 cm, or 0.5 foot cubes inside a rectangular prism.  What is the volume of the rectangular prism in cubic centimeters?

Answer: 37 degrees

Hope this helps :)

Step-by-step explanation:

(The box in the corner tells you this is a right angle)

A right angle is 90 degrees

90 - 53 = 37

Answer:

37 degrees

Step-by-step explanation:

Angle a is equivalent to 37 degrees because the picture signifies a right angle; all right angles are equal to 90 degrees. The equation to solve this would be: 53+x=90, you would solve this by subtracting 90-53=x; x=37

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Based on the given information, the graph represents the relationship between the number of adults present and the maximum number of children allowed on a field trip. Since the trip is allowing for a maximum of 12 children, we will analyze the graph to determine how many adults will be present.

Without the graph, we cannot provide the exact number of adults needed for 12 children. However, once you have the graph in front of you, simply locate the point on the graph where the number of children allowed (y-axis) is equal to 12. Then, trace the point horizontally to the corresponding number of adults on the x-axis. This will give you the number of adults required to supervise the 12 children during the field trip.

Remember to follow any guidelines or ratios that may be established by your school or organization regarding adult-to-child ratios on field trips, as this can impact the number of adults needed for the trip.

this graph represents the maximum number of children that are allowed on a field trip depending on the number of adults present to supervise. a trip is allowing for a maximum of 12 children. how many adults will be present? enter your answer in the box.

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Answer:

10

Step-by-step explanation:

substitute the given values into the expression

2(x + z) - y

= 2(6 + 3) - 8

= 2(9) - 8

= 18 - 8

= 10

A relationship between two variables in which one variable increases at the same time that the other increases is called a positive correlation.

This means that when one variable goes up, the other also goes up, and when one variable goes down, the other also goes down.

For example, if you were to graph the relationship between height and weight, you would see that as height increases, weight also tends to increase. This is an example of a positive correlation between the two variables.

Similarly, if you were to graph the relationship between the amount of time spent studying and test scores, you would likely see that as the amount of time spent studying increases, test scores also tend to increase, indicating a positive correlation between these two variables.

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The perimeter of this rectangle with the given vertices is equal to 18 units.

The area of this rectangle with the given vertices is equal to 20 square units.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W)

Where:

For the width, we would determine the distance between the vertices (-2, 2) and (3, 2)

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(3 - (-2))² + (2 - 2)²]

Distance = √[(5² + 0²]

Distance = √25

Distance = 5 units.

For the length, we have:

Length = 4 units.

Perimeter of this rectangle, P = 2(5 + 4)

Perimeter of this rectangle, P = 18 units.

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

A = 4 × 5

A = 20 square units.

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Answer:

A

Step-by-step explanation

x/12 + 3 < 7 = x<48 this is the only one i can do because i cant do the others sorry

Answer:

Ans= 34.6%

Step-by-step explanation:

Answer:

48 units^2

Step-by-step explanation:

The formula is π*d

and the value of pi is 3 and d is the diameter which in this circle is 16 so,

pi*d

=3*16

=48 units^2

Based on the given image, you can notice that the interval is in between -2 and 6. -2 is included as solution (black point) but 6 is not (white point), then, you can write:

The previous expression is the required inequality

Answer:

a) distributive property

b) combining like terms

c) commutative property of addition

Answer:

1.x^2+5x-24

2.-12x^2-7x+10

3.x^2-16

4.x^2+10x+25

5.4x^2+28x+49

6.x^2-49

7.10x^3+18x^2-19x+3

8. 3x^3-5x^2+3x-10

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Let the unknown number be x.

Subtract 1/2 from the unknown number: x - 1/2

Multiply the result by 1/2: 1/2(x - 1/2)

You get 1/8: 1/2(x - 1/2) = 1/8

Now we solve the equation for x.

1/2(x - 1/2) = 1/8

Multiply both sides by 2.

2 * 1/2(x - 1/2) = 2 * 1/8

x - 1/2 = 1/4

Multiply both sides by 4

4x - 4 * 1/2 = 4 * 1/4

4x - 2 = 1

Add 2 to both sides.

4x = 3

Divide both sides by 4.

x = 3/4

Answer: The number is 3/4.

The second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.

Let's denote the height at which the second ladder touches the wall as h. We can set up a proportion based on the similar right triangles formed by the ladders and the building:

(6 6 feet) / (h) = (9 9 feet) / (5 5 feet 9 9 inches + h)

To solve for h, we can cross-multiply and solve the resulting equation:

(6 6 feet) * (5 5 feet 9 9 inches + h) = (9 9 feet) * (h)

Converting the measurements to inches:

(66 inches) * (66 inches + h) = (99 inches) * (h)

Expanding and rearranging the equation:

4356 + 66h = 99h

33h = 4356

Solving for h:

h = 4356 / 33 = 132 inches

Converting back to feet and inches:

h ≈ 11 feet

Therefore, the second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.

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Answer:

-84 feet or goes down 84 feet

Step-by-step explanation:

-12*7

The constant term, and the coefficient are 40 and 11, respectively

The slope of the function is -3

From the question, we have the following parameters that can be used in our computation:

q(t) = 40 + 11t

A linear function is represented as

q(t) = b + mt

Where

constant = b

coefficient = m

This means that

constant = 40

coefficient = 11

Here, we have

f(t) = 6 - 3(t + 2)

When expanded, we have

f(t) = -3t - 6 + 6

Evaluate

f(t) = -3t

Hence, the slope of the function is -3

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Let's assume that x represents the number of square feet in the garden, and y represents the number of carrots that can be grown at a time.

We are given that when the garden is 2 square feet, she can grow 8 carrots at a time. This suggests a linear relationship between x and y.

To find the equation, we can use the concept of proportionality. Since the number of carrots grown is directly proportional to the area of the garden, we can set up a proportion:

x/y = 2/8

Cross-multiplying, we have:

8x = 2y

Dividing both sides by 2, we get:

4x = y

So, the equation for the relationship between x and y is y = 4x.

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The instrument used to measure the air taken in by and expelled from the lungs is called a spirometer. It measures lung volumes and capacities.

Which are important indicators of lung function and respiratory health. Spirometry is a common test used to diagnose and monitor respiratory diseases such as asthma, chronic obstructive pulmonary disease (COPD), and pulmonary fibrosis.

air that a person inhales and exhales. It measures several lung volumes and capacities, including:

Tidal Volume (TV): This is the amount of air that is inhaled or exhaled during normal breathing.

Inspiratory Reserve Volume (IRV): This is the additional amount of air that can be inhaled after a normal inhalation.

Expiratory Reserve Volume (ERV): This is the additional amount of air that can be exhaled after a normal exhalation.

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Answer:

The given graph is not a direct variation.

Step-by-step explanation:

A direct variation occurs when the rate of change between any two points on a graph is always the same. In this sense, direct variation only occurs when a graph is linear. The given graph is parabolic; its equation is \(y = x^2\). Therefore, it does not exhibit direct variation, as the slope between consecutive points continually changes.

If you want to prove this claim, show that the slope changes between the given points: the rate of change from (2,4) to (3,9) is greater than the rate of change from (0,0) to (2,4).

Answer:

60,000

Step-by-step explanation:

going straight across the line we can see that for $140 the demand in thousands 60

so

you can buy 60,000 units

Answer:

60 because oficial the line goes to 60

Answer:

3.87298335

Step-by-step explanation:

Answer:

3.872

Step-by-step explanation:

The length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is  D) L = 14√56.

The length of the vector function F(t) = <3 - 4t, 6t, -(9 + 2t)> from -6 ≤ t ≤ 8, we need to calculate the integral of the magnitude of the derivative of F(t) with respect to t over the given interval.

The magnitude of a vector v = <x, y, z> is given by ||v|| = √(x² + y² + z²).

First, let's find the derivative of F(t):

F'(t) = <-4, 6, -2>

Next, let's find the magnitude of F'(t):

||F'(t)|| = √((-4)² + 6² + (-2)²)

= √(16 + 36 + 4)

= √56

Now, we can calculate the length of F(t) over the interval -6 ≤ t ≤ 8 by integrating ||F'(t)|| with respect to t:

L = ∫(√56) dt

= √56 ∫dt

= √56 × t + C

Evaluating the integral over the given interval:

L = √56 × t + C| (-6)⁸

= √56 × (8 - (-6))

= √56 × 14

= 14√56

Therefore, the length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is 14√56.

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To prove that X is an ordered set in which every closed interval is compact, then X has the least upper bound property, let A be a nonempty set in X that is bounded above. Let S be the set of all upper bounds of A. Then S is nonempty because X has the least upper bound property.

To show that S has a least upper bound, we must show that S is bounded above and that the least upper bound property holds for S.To show that S is bounded above, let b be any element of A. Since b is an upper bound of A, S contains b, so b ≤ s for every s in S. Therefore, S is bounded above. Let c be the least upper bound of S. We claim that c is the least upper bound of A. Let a be any element of A. Since a is not an upper bound of A, there is an element s in S such that a ≤ s. But c is an upper bound of S, so s ≤ c.

But c is the least upper bound of S, so c ≤ d. Therefore, c is the least upper bound of A as well. So X has the least upper bound property.Now, to show that [0, 1] is not limit point compact as a subspace of Re, consider the sequence an = 1/n for n ≥ 1. Then, every element of the sequence is in [0, 1], so the sequence is a sequence in [0, 1]. However, the limit of the sequence is 0, which is not in [0, 1]. Therefore, [0, 1] is not limit point compact as a subspace of Re.

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