The Function 1 (x) = 2160 (1.07)x can be used to calculate the value, in dollars, of an investment x years after the investment was made. What statement best interprets the parameters of the function?

Angle S'Q'R' is same as angle SQR which is equal to

Rigid transformation refers to a type of geometric transformation that preserves the shape and size of an object. In other words, the transformed object is congruent to the original object.

Rigid transformations can be of two types -

Translation refers to moving an object in a straight line, while rotation refers to turning an object around a fixed point.

Rotation, in particular, has the effect of changing the orientation of the object. However, the length of each side and the angles between them will remain the same.

In a rigid transformation, the position of every point in the object is changed, but the distances between points remain unchanged, as well as the angles between lines and the area of the object.

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Answer:

10. a. no

b. yes

c. no

d. no

e. no

11. a. yes

b. no

c. yes

d. no

e. no

La fuerza con la que es lanzada una pelota de béisbol puede calcularse utilizando la segunda ley de Newton, que establece que la fuerza (F) es igual a la masa (m) multiplicada por la aceleración (a). En este caso, la masa de la pelota es de 0.126 kilogramos y la aceleración es de 3 m/s.

Aplicando la fórmula, la fuerza (F) se calcula de la siguiente manera:

F = m * a

F = 0.126 kg * 3 m/s

F = 0.378 N

Por lo tanto, la fuerza con la que se lanza la pelota de béisbol es de aproximadamente 0.378 Newtons.

Es importante tener en cuenta que este cálculo asume que la aceleración proporcionada es constante y que no hay otras fuerzas que actúen sobre la pelota durante el lanzamiento, como la resistencia del aire. Estas consideraciones pueden afectar la fuerza real experimentada por la pelota en un escenario práctico.

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The constant of variation for the case is 2 centimeters per night.

A graph is a non-linear kind of data structure made up of nodes or vertices and edges. The edges connect any two nodes in the graph, and the nodes are also known as vertices. This graph has a set of vertices V= { 1,2,3,4,5} and a set of edges E= { (1,2),(1,3),(2,3),(2,4),(2,5),(3,5),(4,50 }.

The graph shown in the problem has length as the vertical axis and nights as the horizontal axis.

The points through which the straight line passes are (0, 0) and (10, 20).

The equation of the line can be written as follows,

=> [tex]\frac{y-0}{x-0}=\frac{20-0}{10-0}[/tex]

=> [tex]\frac{y}{x}=\frac{20}{10}[/tex]

=> y = 2x

Thus, the above equation implies that y and x are proportional and 2 is constant of variation.

Hence, the constant of variation for the given case is 2 centimeters per night.

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The given question is incomplete, So i take the similar question:

This graph shows how the total length Kimi has knit depends on the number of nights she has spent knitting.

​What is the constant of variation?

____ centimeters per night

The solution of the triangle is shown below;

Angle A - 26.98°

Angle C - 118.6°

Side c -  47.98

If you know the length of one side and the measure of the opposite angle, or the length of two sides and the measure of the angle between them, you can use the Law of Sines to find the other parts of the triangle.

Using the sine rule;

a/Sin A = b/Sin B

aSin B = bsinA

Sin A = bSinB/a

A = Sin-1( bSinB/a)

A = Sin-1(30.9 * Sin 34.42/38.5)

A = 26.98°

Then;

C = (180 - 26.98 + 34.42)

C = 118.6°

Using the sine rule again;

b/sinB = c/Sin C

c = bSin C/Sin B

c = 30.9 * Sin 118.6/Sin 34.42

c = 27.12/0.565

c = 47.98

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5 × 4 = 20

9 × 5 = 45

6 × 3 = 18

5 × 7 = 35

Mean = 20 + 45 + 18 + 35/4

= 118/4

= 59/2

5 1/8 = 46/8

5 1/2 = 11/2

5 6/25 = 131

5 4/11 = 59/2

Therefore The Answer is A 5 4/11.

Therefore, the population is at a maximum approximately 25 hours after the culture was started.

A function is a mathematical concept that describes a relationship between two sets of values, called the domain and the range. It is a rule or a set of rules that assigns a unique output value for every input value in the domain. In other words, it is a process that takes one or more inputs and produces a corresponding output. Functions are commonly represented using equations, graphs, or tables. They are used in various branches of mathematics, science, engineering, and technology to model real-world phenomena, make predictions, and solve problems.

Here,

To find the time at which the population is at a maximum, we need to find the time when the rate of change of population, or the derivative of p(t), is zero.

p(t) = -1715t² + 85,000t + 10,000

p'(t) = -3430t + 85,000

Setting p'(t) = 0, we get:

-3430t + 85,000 = 0

Solving for t, we get:

t = 24.85

Rounding to the nearest hour, we get:

t ≈ 25

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Answer:

1. 2-way frequency table goes with the 1st one  

2. Marginal frequency goes with the 4th one  

3. joint frequency goes with the 3rd one

4. conditional frequency goes with the 2nd one

Answer:

The glass cannot fit through the door.

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem. Let the height of the door be h.

We know that the diagonal of the glass must be able to fit through the door, so we can set up the following equation:

sqrt(8^2 + h^2) <= 3

Squaring both sides of the inequality, we get:

64 + h^2 <= 9

Subtracting 64 from both sides, we get:

h^2 <= -55

Since a square of a real number cannot be negative, there is no solution to this inequality.

Therefore, the glass cannot fit through the door, regardless of the height of the door.

The door must be at least √55 feet tall, which is approximately 7.42 feet, for the 8-foot wide glass to pass through the 3-foot wide door.

To determine how tall the door must be for the glass to pass through, we first need to calculate the height of the glass. Unfortunately, the height of the glass is not provided in the question. Assuming that the height of the glass is less than or equal to the height of the door, we can proceed as follows:

Let's say the height of the glass is h feet. Then, we know that the glass is a rectangular shape with dimensions of 8 feet by h feet. To pass through the door, the glass needs to be able to fit horizontally and vertically through the opening.

Since the door is 3 feet wide, the glass needs to be able to fit through the opening when turned on its side. Therefore, the height of the glass cannot exceed 3 feet.

So, the door must be at least 3 feet tall for the glass to pass through. However, this assumes that the height of the glass is less than or equal to 3 feet. If the height of the glass is greater than 3 feet, then the door would need to be taller to accommodate the glass.

To determine the minimum height the door must be for the 8-foot wide glass to pass through the 3-foot wide door, you can use the Pythagorean theorem. The glass will need to be tilted diagonally as it passes through the door. Let's label the door's height as 'h' and use the formula:

3² + h² = 8²

9 + h² = 64

h² = 64 - 9
h² = 55
h = √55

The door must be at least √55 feet tall, which is approximately 7.42 feet, for the 8-foot wide glass to pass through the 3-foot wide door.

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Since the diameter of this circle is 7 cm, its area to the nearest whole number include the following: 39 square centimeters.

In Mathematics and Geometry, the area of a circle can be calculated by using this formula:

Area = πr²

Where:

r represents the radius of a circle.

Note: Radius = diameter/2 = 7/2 = 3.5 centimeters.

By substituting the radius into the formula for the area of a circle, we have the following;

Area of circle = 3.142 × 3.5²

Area of circle = 38.5 ≈ 39 square centimeters.

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Answer:

Step-by-step explanation:

Formula for the volume of a cone:

((r^2)(height)(pi)) / 3

Since we are finding the answer in terms of pi, we will use the pi symbol.

The radius is 18.

The height is 30.

18^2 is 324.

324 x 30 is 9720.

9720 / 3 is 3240.

Answer : 3240 pi.

The value of z as shown in the pair of similar traingles is 15 in.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

To calculate the value of z, we use the formula of similar triangle below

Note: ΔQWX is similar to triangle QRS

Formula:

From the diagram question below,

Given:

Substitute these values into equation 1 and solve for z

Hence the value of z is 15 in.

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The trigonometric relation is solved and the unit circle is plotted

Given data ,

Let the unit circle be represented as A and B

Now , in figure A , we get

The radius of the circle is r = 5 units

And the point on the circle is P ( 5 , 5 )

So , the height of unit circle is h = 5 units

Now , the hypotenuse of the circle is = 2√5 units

From the trigonometric relation , we get

sin θ = opposite / hypotenuse

sin z = √5 / 2√5

sin z = 1/2

Taking inverse on both sides , we get

z = 30°

So , the measure of rotation is 60° counterclockwise

In figure B , we get

The radius of the circle is r = 5 units

And the point on the circle is P ( 5 , -5 )

So , the height of unit circle is h = -5 units

Now , the hypotenuse of the circle is = 2√5 units

From the trigonometric relation , we get

sin θ = opposite / hypotenuse

sin z = √5 / 2√5

sin z = -1/2

Taking inverse on both sides , we get

z = -30°

So , the measure of rotation is 30° clockwise

Hence , the trigonometric relation is solved

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Answer:

90

Step-by-step explanation:

To find how many 18-inch pieces of ribbon there are in 1620 inches, simply divide 1620 by 18.

1620/18 = 90

For the original question, we know that each roll of ribbon is 9 feet long. To convert to inches, multiply 9 by 12.

9*12 = 108

Now, to find how many 18-inch pieces of ribbon there are in 108 inches,  divide 108 by 18.

108/18 = 6

Since we have 15 rolls of ribbon, multiply 6 by 15.

6*15 = 90

∴ The dressmaker can cut ninety 18-inch pieces from 15 rolls or ribbon.

The final cost of the couch after adding the 6% sales tax is $728.75.

By dividing the cost of the  lounge by the applicable deals  duty rate, one may calculate the total  quantum of deals  duty.

Since the deals  duty rate is  generally expressed as a chance, you must divide it by 100 to get a numeric.

The decimal  fellow in this situation is0.06 since the deals  duty rate is 6.   settee cost x deals  duty rate equals deals  duty  Deals  duty is equal to687.50 multiplied by0.06.

Deals  duty equals41.25   Accordingly, the  settee is subject to a$41.25 deals  duty.   The final cost of the  lounge after the deals  duty is assessed is calculated by adding the deals  duty  quantum to the  original cost of the  settee.   settee cost plus deals  duty equals total cost

Total price is687.50+41.25

Total cost = 728.75

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Nuclear fusion involves the combination of two light nuclei to form a heavier nucleus with emission of energy.

Since,

A nuclear reaction equation is a representation of the change that takes place as one nucleus is converted to another. A nuclear transformation could be any of the following;

⇒ Nuclear fission

⇒ Nuclear fusion

⇒ Transmutation

We can know that a nuclear fusion is taking place when two nuclei come together to form a larger nucleus and emit energy. I would identify a nuclear fusion when;

⇒ Two light atom combine to give a larger nucleus

⇒ Tremendous energy is produced

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Answer: Elevation is going to be greater than 5.71059°

Step-by-step explanation: 60/600 = tan∅ = 0=5.71059°,   so 0> 5.71059°

Answer:

Step-by-step explanation:

48 over 12 = 4 is the answer

The volume of a sphere whose diameter is 18 centimeters is 972π cubic centimeters. If its diameter were reduced by half, its volume would be 1/8 of its original volume. So, correct options are D for both blanks.

The diameter of a sphere is 18 cm, so its radius is half of the diameter, which is 9 cm. The formula for the volume of a sphere is (4/3)πr³, where r is the radius of the sphere.

Using this formula, we can calculate the volume of the sphere as follows:

V = (4/3)π(9³)

V = (4/3)π(729)

V = 972π cubic cm

Therefore, the volume of the sphere is 972π cubic cm.

Now, if the diameter of the sphere is reduced by half, the new diameter would be 9 cm, which means the new radius would be half of 9 cm, which is 4.5 cm. Using the same formula for the volume of a sphere, we can calculate the new volume of the sphere as follows:

V' = (4/3)π(4.5³)

V' = (4/3)π(91.125)

V' = 121.5π cubic cm

To find the ratio of the new volume to the original volume, we can divide the new volume by the original volume:

V'/V = (121.5π) / (972π) = 1/8

Therefore, the answer to the first part of the question is option (d) 972π cubic cm, and the answer to the second part of the question is option (d) 1/8.

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Using Hamilton method for apportioning, the total artists will be 200.

Using Hamilton method for apportioning :

total artists = 94+51+55 = 200

booths = 39

booths for group = (artists in group) / (total artists / no. of booths)

= (artists in group) / (200/39)

booths for painters = (94) / (200/39) = 18.33

= 18 {rounded to nearest integer}

booths for sculptors = (51) / (200/39) = 9.945

= 10 {rounded to nearest integer}

booths for weavers = (55) / (200/39) = 10.725

= 11 {rounded to nearest integer}

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Answer:

The car came to a complete stop during segment C to D, because the distance did not change over time.

The car traveled back toward its starting position during segment D to E, because the distance decreased over time.

The car traveled the fastest during segment B to C, because the slope of the graph was the steepest.

The car traveled at an average speed of 12 km/hr during segment A to B, because the slope of the graph was 12 km/hr.

Step-by-step explanation:

Answer:

Its the second one

Step-by-step explanation:

its the second one. i looked it up.

Answer:

Step-by-step explanation:

it is the first one because linear is that is related to a line or in order the input is fine going by one’s but the output is not so the output has a problem and it’s not linear so it’s the first option.

The measure of angle x is 114.6°

Here, the central angle of sector of circle is represented by x.

We know that the formula for the area of sector.

A = θ/360 × πr²

where  θ is the central angle

and r is the radius of the circle

Here, the area of the sector is equal to the area of the square.

Using the formula for the area of square,

A = side²

A = r²

Since area of sector = area of square,

x/360 × πr² = r²

x = 360/π

x = 114.6°

Thus, the required angle ∠x = 114.6°

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Find the complete question below.

The height of the cylinder will be 18 inches.

Given that:

Volume, V = 2,769.48 cubic inches

Radius, r = 7 inches

Let r be the radius and h be the height of the cylinder.

Then the volume of the cylinder will be given as,

V = π r²h cubic units

The height of the cylinder is calculated as,

2,769.48 = 3.14 x 7² x h

2,769.48 = 153.86h

h = 18 inches

The height of the cylinder will be 18 inches.

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If a triangle has a right angle (90 degrees), it is called a right triangle. The side opposite the right angle is called the hypotenuse, and it is the longest side of the triangle. The other two sides are called the legs.

To find the length of the third side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.

The Pythagorean theorem can be written as:

a^2 + b^2 = c^2

where a and b are the lengths of the two legs, and c is the length of the hypotenuse.

But you already know c, and with that c^2, you want to find a through a^2(you can also look for b, it would be the same)

If you rearrange the equasion you get a^2=c^2-b^

Once we have these lengths

c=15,so c^2 is 15^2=15*15=225

b=10,so b^2 is 10^2=10*10=100

we can plug them into the Pythagorean theorem and solve for the unknown side.

a^2=c^2-b^2

a^2=225-100=1125

If a^2 is 125, then a must be the square route if 125



(a is in you case x)

We

The probability that the card that Olga turns over has a rose on it would be 4/5.

Since, Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Given that;

There are 5 cards with a picture of a rose and 1 card with a picture of a daisy.

Olga keeps all the cards face down on the table with the pictures hidden and mixes them up.

Then , Total number of cars after Olga removed one rose card from the table is,

4 rose cards + 1 Daisy card

= 5

Therefore, the probability divide the number of rose cards left by the total number of cards left is,

= 4/5

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The area of isoceles triangle is  120 square meters

Let us assume that a and c represents the equal sides of isosceles triangle and b represents the base of isosceles triangle such that a = 17 m, b = 16 m and c = 17 m

Let us assume that h represents the height of isosceles triangle.

We know that the formula for the height of isosceles triangle.

h = [tex]\sqrt{a^2-\frac{b^2}{4} }[/tex]

h = [tex]\sqrt{17^2-\frac{16^2}{4} }[/tex]

h = √(225)

h = 15 m

Using the formula for the area of isosceles triangle,

A = 1/2 × base × height

A =  1/2 × b × h

A =  1/2 × 16 × 15

A = 120 sq. m.

Therefore, the required area is  120 sq. m.

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The complete question is:

The sides of isosceles triangle triangle are: 17 m, 17 m and 16 m

Find the area of the isoceles triangle. The area is square meters.