Una ciclopista para andar en bicicleta tiene 17/6 de km ¿cuantos km se recorren al dar dos vueltas a la pista

Answer:

Solve the system of equations:

x= -3

y= -4

Step-by-step explanation:

This is right if x went with 11/17:

11/17x

I didn't know if they were separated or not

The figure is cut by a plane containing its altitude and perpendicular to its base, the cross-section formed is (A) Triangle.

When a triangular pyramid is cut by a plane containing its altitude and perpendicular to its base, the resulting cross-section will be a triangle.

To understand why, let's visualize the pyramid. A triangular pyramid has a base that is a triangle and three triangular faces that converge at a single point called the apex.

The altitude of the pyramid is a line segment that connects the apex to the base, perpendicular to the base.

When we cut the pyramid with a plane containing its altitude and perpendicular to its base, the plane will intersect the pyramid along its height.

This means that the resulting cross-section will be a slice that is perpendicular to the base and parallel to the other two triangular faces.

Since the base of the pyramid is a triangle, and the plane cuts through it perpendicularly, the resulting cross-section will also be a triangle.

The shape of the cross-section will be similar to the base triangle of the pyramid, with the same number of sides and angles.

Therefore, the correct answer is a. Triangle.

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Step-by-step explanation:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.

...

Here is what it will look like:

area = 1/2 x 120 x 10√3.

area = 60 x 10√3.

area = 600√3.

hope this helps

Answer:

Solution,

\(f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114\)

hope this helps.

Good luck on your assignment..

Answer:

-114

Step-by-step explanation:

To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.

f(x) = -4x + 5x

f(6) = -4(6) + 5(6)

f(6) = -4(36) + 30

f(6) = -144 + 30

f(6) = -114

The answer is -114.

Answer:

The value of x

Step-by-step explanation:

Is -3 i think soooooo

Geometric solids with circular cross-sections include cylinders, cones, and spheres. Geometric solids with circular cross-sections include cylinders, cones, and spheres. And Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis.

1. Cylinder: A cylinder is a 3-dimensional solid that has two parallel circular bases connected by a curved surface. Cylinders are commonly found in everyday objects like soda cans and water bottles.

2. Cone: A cone is a 3-dimensional solid that has a circular base and a curved surface that tapers to a point. Cones are often used in architecture, like on the top of a church steeple.

3. Sphere: A sphere is a 3-dimensional solid that has a circular shape in all directions. Spheres are found in many natural objects like planets and fruit, as well as in man-made objects like Christmas ornaments.

Geometric solids with circular cross-sections are used in various fields, including architecture, engineering, and science. They are used for creating objects such as cans, pipes, towers, and buildings. These shapes are also used for modeling the natural world, such as the earth, planets, and the stars.

Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis. For instance, a circle that is rotated around its center axis forms a cylinder. Similarly, a triangle that is rotated around one of its sides forms a cone, while a circle that is rotated around its center axis forms a sphere.

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Jasper's early withdrawal reduced his future annuity payments by $16,906.31.

To help Jasper compute his future annuity payment,

First, we have to calculate the future value (FV) of his investment at age 60 if he had not made any early withdrawals using the formula:

FV = \(PV (1 + r/n)^{(n*t)}\)

where:

PV = present value (amount invested)

r = annual interest rate,

n = number of compounding periods per year

t = number of years.

Given:

PV = $34,000

r = 5.4% per year

n = 12 (monthly compounding)

t = 14 years (from age 46 to age 60)

Logging the values, we get:

FV = \($34,000 (1 + 0.054/12)^{(12*14)}\)

= \($34,000 (12.0045/12)^{168}\)

= \($34,000 (1.000375)^{168}\)

FV = $68,786.56

This is the amount he would have received at age 60 if he had not withdrawn early.

Next, we shall now estimate the surrender charge and IRS fee that Jasper has to pay for his early withdrawal of $9,200.

Surrender charge = 2.2% x $9,200 = $202.40

IRS fee = 10% x $9,200 = $920

So, the total amount that Jasper receives from his early withdrawal is:

Amount received = $9,200 - $202.40 - $920 = $8,077.60

To calculate the new FV Jasper's investment by adjusting the present value (PV).

Subtract the withdrawn amount and add back the surrender charge:

New PV = $34,000 - $8,077.60 + $202.40 = $26,125.80

So, the new future value can then be calculated using the same formula:

New FV = $\($26,125.80 (1 + 0.054/12)^{(12*12)}\)

New FV = $\($26,125.80 (1.0045)^{144}\)

New FV = $26,125.80 x 2.2424

New FV = $58,651.29

Thus, Jasper's early withdrawal reduced his future annuity payments by $68,786.56 - $51,880.25 which is $16,906.31.

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The phase diagrams provide a visual representation of the system's behavior by plotting the vector field and trajectories in the x-y plane.

The given system of differential equations is described by:

\(˙x = a - x^2˙y = x - y\)

To find the equilibria, we set ˙x and ˙y equal to zero:

\(a - x^2 = 0 -- > x^2 = a -- > x = ±√ax - y = 0 -- > y = x\)

So, the equilibria are (±√a, ±√a).

Now let's analyze the behavior of the system for different values of 'a'.

For a > 0:

In this case, there are two real equilibria, (√a, √a) and (-√a, -√a). We can observe that (√a, √a) is a stable node, as the eigenvalues of the linearized system around this point have negative real parts. On the other hand, (-√a, -√a) is a saddle point, as the eigenvalues have opposite signs (one positive and one negative).

For a < 0:

In this case, there are no real equilibria since √a and -√a are imaginary. Therefore, the system has no equilibrium points.

To visualize the phase diagrams for a = 1 and a = -1:

For a = 1:

The system has two real equilibria, (1, 1) and (-1, -1). The point (1, 1) is a stable node, and (-1, -1) is a saddle point. The phase diagram would show trajectories converging towards (1, 1).

For a = -1:

Since a < 0, there are no equilibrium points, and thus the phase diagram would show no fixed points or trajectories.

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The maximum possible number of elements in set B is 62.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

The universal set is A consisting of the primary one hundred positive integers.

Now, Set B is a subset of A.

Set B might be made up of the first 62 positive numbers, for example.

Only then is 123 the largest number that can be formed by adding all the components of set B.

Set B contains 62 items altogether.

Additionally, we can carefully swap out one or more pieces from set B and add them to its complement.

In the majority of these cases, set B may have 62 elements.

Therefore, we get the number of elements in set B will be 62.

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Answer:

thx

Step-by-step explanation:

We have shown that 3n² - 4n + 6 = O(n²) with the constants c = 3 and n₀ = 1, as it satisfies the definition of big-O notation.

To prove that 3n² - 4n + 6 = O(n²), we need to find constants c and n₀ that satisfy the big-O notation definition.

According to the definition of big-O notation, a function f(n) is said to be O(g(n)) if there exist positive constants c and n₀ such that for all n ≥ n₀, f(n) ≤ c × g(n).

In our case, we need to find constants c and n₀ that satisfy the inequality

3n² - 4n + 6 ≤ c × n² for all n ≥ n₀

Let's simplify the left-hand side of the inequality

3n² - 4n + 6 = n²(3 - 4/n + 6/n²)

Now, we can see that for all n ≥ 1, the term (3 - 4/n + 6/n²) is bounded above by a constant. Let's say 3, to be conservative.

Therefore, we can rewrite the inequality as

n²(3 - 4/n + 6/n²) ≤ 3n² for all n ≥ 1

From this, we can see that for all n ≥ 1, the left-hand side of the inequality is always less than or equal to 3n². Thus, we can choose c = 3 and n₀ = 1.

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-- The given question is incomplete, the complete question is

"Prove that 3n² - 4n + 6 = O(n²) by finding the constant c and n₀ that satisfies the big-O notation." --

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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Answer:

1/4

Step-by-step explanation:

there are 2 footballers

and 8 other sports

therefore, 2/8 or 1/4

Answer:

see explanation

Step-by-step explanation:

part A

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (- 6, 11 ) → (6, 11 )

B (- 5, 6 ) → (5, 6 )

C (- 7, 1 ) → (7, 1 )

D (0, 8 ) → (0, 8 ) ← no change

part B

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 6, 11 ) → - 6, - 11 )

B (- 5, 6 ) → (- 5, - 6 )

C (- 7, 1 ) → (- 7, - 1 )

D (0, 8 ) → (0, - 8 )

70.9/100=0.709=70.9%

t = 8

It will take Mrs. Reed 8 hours to catch up to Mr. Reed.

To find out how many hours it will take Mrs. Reed to catch up to Mr. Reed, we can set up an equation based on their relative speeds.

Let's assume that Mrs. Reed catches up to Mr. Reed after t hours.

In those t hours, Mr. Reed will have traveled a distance of 50t miles (since he averages 50 mph).

Mrs. Reed, on the other hand, will have traveled a distance of 80(t-3) miles (since she averages 80 mph and leaves 3 hours later).

For Mrs. Reed to catch up to Mr. Reed, their distances traveled must be equal. Therefore, we can set up the equation:

50t = 80(t-3)

Let's solve for t:

50t = 80t - 240

240 = 80t - 50t

240 = 30t

t = 240/30

t = 8

Therefore, it will take Mrs. Reed 8 hours to catch up to Mr. Reed.

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Answer:

$1.00

hopefuly this helped if not let me know!

The length of the rectangle is 25 cm and the width is 10 cm.

We shall represent the length and width of the original rectangle with x and y respectively so that the perimeter is;

2(x + y) = 70 {divide through by 2}

x + y = 35...(1)

length of new rectangle = x - 5

width of new rectangle = y + 5

area of new rectangle:

(x - 5)(y + 5) = xy + 50

xy + 5x - 5y - 25 = xy + 50

xy - xy + 5x - 5y = 50 + 25

5x - 5y = 75 {divide through by 5}

x - y = 15...(2)

add equations (1) and (2) we have;

x + y + x - y = 35 + 15

2x = 50 {divide through by 2}

x = 25

substitute 25 for x in equation (1), we have;

25 + y = 35

y = 35 - 25 {subtract 25 from both sides}

y = 10

Therefore, have the length and width of the original rectangle to be x = 25 cm and y = 10 cm respectively.

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The structure and molecular formula of the compound using the information from the IR, 1H, and 13C NMR, and the mass spec of 188:The mass spectrometry data suggests that the molecular weight of the compound is 188 g/mol. So, the molecular formula of the compound can be deduced as C10H14O.The IR spectrum of the compound showed a strong peak at around 1680 cm-1 that indicates the presence of a carbonyl group (C=O).

This carbonyl peak suggests the presence of a ketone group.The 1H NMR spectrum of the compound showed six different chemical shifts, which implies that there are six distinct hydrogen environments in the compound. There is a singlet at 3.7 ppm that corresponds to the methoxy group (-OCH3), a quartet at 2.2 ppm corresponding to the alpha-protons next to the carbonyl group, a doublet at 2.3 ppm corresponding to the beta-protons next to the carbonyl group, a doublet at 2.5 ppm corresponding to the methyl group, a singlet at 6.9 ppm corresponding to the protons of the phenyl ring, and a singlet at 7.3 ppm corresponding to the protons of the vinyl group.The 13C NMR spectrum of the compound showed ten different chemical shifts.

There are ten carbons in the compound: one carbonyl carbon at 199.5 ppm, two olefinic carbons at 144.2 ppm and 130.3 ppm, one aromatic carbon at 128.4 ppm, one methoxy carbon at 56.3 ppm, one methyl carbon at 21.9 ppm, and four aliphatic carbons in the range of 30-35 ppm.

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Given the similar figures A and B

We will find the scale factor from A to B

The corresponding sides are proportions

So, the scale factor will be = 18/9 = 2

So, the given statement : The scalefactor from figure A to figure B is 2

The answer is: True

Answer:

1281

Step-by-step explanation:

15% of 8540=1281

A person who is 65 inches tall would be approximately 5 feet 5 inches tall.

Since 1 foot is 12 inches long, 5 feet is 60 inches long.

The only way to get accurate height measures is to take off any footwear, hairstyles, or accessories that can affect the measurement. With their sides in contact and their backs up against the wall, their feet are flat.

A flat object is placed on top of the head while the head is kept straight and the flat object is maintained in a position parallel to the floor. A tape measure is used to accurately measure the height after noting the height mark and measuring from the floor to the mark.

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Answer:Domestic Stamps: 123

Foreign Stamps: 89

Step-by-step explanation:

So we have two equations

x - y = 34

x + y =212

Let's take the first equation and put it in terms of x

x-y+y= 34+y

x= 34 + y

Now that we have a value for x, substitute it into the second equation for x and solve for y.

(34+y)+y=212

34+y+y = 212

34+2y= 212

34-34+ 2y=212-34

2y= 178

2y/2=178/2

y= 89

Now that we know the value for y, we can substitute it into the first equation and solve for x.

x-89=34

X-89+89=34+89

X=123

Y= 89

X =123

ANSWER

Domestic Stamps: 123

Foreign Stamps: 89

Answer:

C

Step-by-step explanation:

Most of the times C is the answer on a test

Answer:

its D

Step-by-step explanation:

brainly tests

Answer:

y = x^2 + 2x - 1

x = -4

y = -4^2 + 2(-4) - 1

y = 16 + (-8) - 1

y = 7

x = -3

y = -3^2 + 2(-3) - 1

y= 9 + (-6) - 1

y = 2

x = -2

y = -2^2 + 2(-2) - 1

y = 4 + (-4) - 1

y = -1

x = -1

y = -1^2 + 2(-1) - 1

y = 1 + (-2) - 1

y = -2

x = 0

y = 0^2 + 2(0) - 1

y = 0 + 0 - 1

y = -1

x = 1

y = 1^2 + 2(1) -1

y = 1 + 2 -1

y = 2

x = 2

y = 2^2 + 2(2) - 1

y = 4 + 4 - 1

y = 7

The domain and range of the function f(x) = 3x⁵ is all real numbers, the x-intercept = 0 and y-intercept = 0.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation for the function is:

f(x) = 3x⁵

The domain of the function: D = all real number

The range of the function: R = all real number

x-intercept = 0

y-intercept = 0

Increasing interval: x ∈ [0, ∞)

Decreaing interval: x ∈ (-∞, 0]

Symmetry = The function is not symmetric

End behavior:

x → ∞, y →∞

x → -∞, y → -∞

Thus, the domain and range of the function f(x) = 3x⁵ is all real numbers, the x-intercept = 0 and y-intercept = 0.

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Answer:

The elimination method is often preferred over graphing because it is much _________.  

Step-by-step explanation:

In elimination, you must multiply one or both equations (if necessary) by a constant to have coefficients of one variable that are opposites. Then, you can add the equations to eliminate one of the variables and solve for the remaining variable.

hope i helped you. :)

Answer:

90

Step-by-step explanation:

im not sure but im pretty sure it would be 90 dont come at me if it not:(

Answer:

360°/3=120°

 which is the size of each exterior angle.

Step-by-step explanation:

An equilateral triangle has 3 lines of symmetry, but of more importance in this case, it has rotational symmetry of order 3. This means that in a rotation of 360° the same image appears 3 times.

360°/3=120°   which is the size of each exterior angle.

The triangle rotates through the exterior angle so that the next vertex can be in the same position as the previous one.

IN the same way, a square will rotate through 360/4=90°

A pentagon will rotate through 360/5=72°

for the figure to map onto itself.