at what rate of interest the compound amount on rs 8000 for 2 years is rs 10648? Please someones help me ​

At a constant rate where the moped can travel 2 miles in 10 minutes, it can travel 12 miles in an hour.

The table provided likely shows the distance the moped can travel in a certain amount of time at its constant rate. To determine how many miles the moped will travel in an hour, we need to find the rate in miles per hour.

Let's consider an example where the table shows the distance the moped can travel in 10 minutes:

Time (min) Distance (mi)

10 2

We know that in 10 minutes, the moped can travel 2 miles. To find the rate in miles per hour, we need to convert minutes to hours:

10/60=1/6hours

Now we can use this value to find the rate in miles per hour:

2/1/6=12 miles/hour

Therefore, we know that at a constant rate where the moped can travel 2 miles in 10 minutes, it can travel 12 miles in an hour.

If the table shows the distance the moped can travel in a different amount of time, we can follow the same method to convert the time to hours and find the rate in miles per hour. Then we can use this rate to determine how many miles the moped will travel in an hour.

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The option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

In the given question, a group of adult males has foot lengths with a mean of 26.84 cm and a standard deviation of 1.29 cm.

We have to find the adult male foot length of 23.8 cm significantly low or significantly​ high.

According to thumb rule, a value is significantly low if it is 2 standard deviations below mean and significantly high if it is 2 standard deviations above mean

Mean = 26.84 cm

Standard deviation = 1.29 cm

Significantly low value = 26.84 - 2*1.29 = 24.26 cm

Significantly high value = 26.84 + 2*1.29 = 29.42 cm

Significantly low values are 24.26 cm or lower.

Significantly high values are 29.42 cm or higher.

The adult male foot length of 23.8 is lower than the significant low value of 24.26.

So the option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

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Answer:

4,375 people visited the book fair in the second week.

Step-by-step explanation:

1) 5,000 x 0.125 = 625

2) 5,000 - 625 = 4,375

Answer

When simplified, the answer is

Explanation

[2/x² - 5x + 6] - [5/x - 2​]

To solve this, we need to first factorize x² - 5x + 6

x² - 5x + 6

= x² - 3x - 2x + 6

= x (x - 3) - 2 (x - 3)

= (x - 3) (x - 2)

So, we can rewrite the question, and then take an LCM

We will then take the LCM

Hope this Helps!!!

Answer:

which law?

Step-by-step explanation:

Step-by-step explanation:

I dont know if they are perpendiculars. but i do know that they are NOT parallel, because they touch and parallels Cant do that

The law of cosines indicates that the player with the larger angle from their of standing point to the goal posts and therefore, with the greater chance of making a shot is Alyssa

The law of cosines state that the square of the length of a side of a triangle, a², is equivalent to the sum of the squares of the lengths of the other two sides of the triangle, b² + c², less twice the product the other two sides and the cosine of the angle between them, A.

Mathematicaly; a² = b² + c² - 2·b·c·cos(A)

The player with a wider view of the goal post has a greater chance to make a shot.

Let A represent the angle formed by the linear distances from Alyssa to the two goal posts, and let N represent the angle formed from Nari to the two goal posts, the law of cosines indicates that we get;

12² = 20² + 25² - 2 × 20 × 25 × cos(A)

2 × 20 × 25 × cos(A) = (20² + 25²) - 12²

cos(A) = ((20² + 25²) - 12²)/(2 × 20 × 25) = 0.881

A = arcos(0.881) ≈ 28.24°

Similarly; 12² = 45² + 38² - 2 × 45 × 38 × cos(B)

2 × 45 × 38 × cos(A) = (45² + 38²) - 12²

cos(B) = ((45² + 38²) - 12²)/(2 × 45 × 38) ≈ 0.972

B ≈ arcos(0.972) ≈13.54°

The larger angle Alyssa has indicates that Alyssa has a greater chance to make a shot.

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To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.

The common difference is the constant value that is added or subtracted to each term to get to the next term.

In this case, we can find the common difference by subtracting the fourth term from the seventh term:

d = a₇ - a₄

d = 31 - 19

d = 12

Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:

aₙ = a₁ + (n - 1)d

In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.

Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:

a₄ = a₁ + (4 - 1)d

19 = a₁ + 3(12)

19 = a₁ + 36

a₁ = 19 - 36

a₁ = -17

Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:

aₙ = -17 + (n - 1)(12)

Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).

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Table of trigonometric function values for y = sin(x) using multiples of π/4 for x:

x | y

0 | 0

π/4 | \(\sqrt2/2\)

π/2 | 1

3π/4 | \(\sqrt2/2\)

π | 0

5π/4 | -\(\sqrt2/2\)

3π/2 | -1

7π/4 | -\(\sqrt2/2\)

2π | 0

The table above shows the values of x and the corresponding values of y for the function y = sin(x), where x takes multiples of π/4.

To calculate the values of y, we substitute each value of x into the equation \(y = sin(x)\) and evaluate it. The sine function represents the ratio of the length of the side opposite the angle to the hypotenuse in a right triangle.

For x = 0, sin(0) = 0.

At x = π/4, sin(π/4) = \(\sqrt2/2\).

For x = π/2, sin(π/2) = 1.

As x progresses through 3π/4 and π, the values of y repeat but with opposite signs.

At x = 5π/4, sin(5π/4) = -\(\sqrt2/2\). , and

at x = 3π/2, sin(3π/2) = -1.

Finally, at x = 7π/4 and 2π, the values of y repeat the same as at x = π/4 and 0, respectively.

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The following inequality 2(8x-4)-2x<14x+12 is always true.

This is referred to as a mathematical term which makes a non-equal comparison between two numbers or other expressions.

2(8x-4)-2x<14x+12

16x-8-2x<14x+12

14x-8<14x+12

0<20

This is therefore always true.

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Answer:

34.93

Step-by-step explanation:

Ok, so using the formula for a trapezoid, you would get that Jim's garden's area is equal to 135.

Since each grass bag can cover 20m of the garden,

135/20=6.75

You would need seven bags because you can't buy 6.75 bags at a store.

Since each bag of grass seed is 4.99, 7*4.99 = 34.93.

I'm doing this in dollars, so I'm assuming that one pound is 100 cents or something like that.

Solution

We want to find the area of the triangle given te sides

b = 20

a = 29

c = 21

Note: Hero formula for calculating the Area of a Triangle

We will first find S

To find the Area

Therefore, the area is

Answer:

$65

Step-by-step explanation:

The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

7.) This triangle is obtuse.

To see this, we can use the Pythagorean theorem:

4*4 + 5*5 = 16 + 25 = 41

6*6 = 36 m

Since 41 > 36, we know that the triangle is obtuse.

8.) This triangle is right.

To see this, we can again use the Pythagorean theorem:

11*11 + 12*12 = 121 + 144 = 265

15*15 = 225 m

Since 265 = 225 + 40, we know that the triangle is right.

9.) This triangle is also right.

We can use the same method as before:

30*30 + 40*40 = 900 + 1600 = 2500

50*50 = 2500 m

Since 2500 = 2500, we know that the triangle is right.

Therefore, The given triangles are obtuse , right angled and right angled.

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-6.8(x - 3.5) = 27.2

Divide both sides by -6.8

x - 3.5 = -4

Add 3.5 to both sides

x = -0.5

Hope this helps!

Answer:

x = -0.5

Step-by-step explanation:

-6.8(x - 3.5) = 27.2

-6.8x + 23.8 = 27.2

-6.8x = 3.4

x = -0.5

Answer:

The point after translation is: (-2, -2)

Step-by-step explanation:

Given point is:

(1, -7) => A(1,-7)

There are four cases for a point's translation:

Now we have to translate the given point 3 units to the left which means 3 will be subtracted from x coordinate.

Similarly, The point has to be translated 5 units up which means 5 will be added to the y-coordinate of point.

\(A(1,-7) ---> (1-3, -7+5) ---> A'(-2,-2)\)

Hence,

The point after translation is: (-2, -2)

The experimental probability of the coin landing heads up is calculated by dividing the number of times the coin landed heads up (16) by the total number of flips (40). So the experimental probability of the coin landing heads up is:

P(heads up) = 16/40

Simplifying the fraction by dividing both the numerator and denominator by 8, we get:

P(heads up) = 2/5 or 0.4

Therefore, based on the results, the experimental probability of the coin landing heads up is 0.4 or 2/5.

To find the experimental probability of the coin landing heads up, you'll need to use the following formula:

Experimental probability = (Number of successful outcomes) / (Total number of trials)

In this case, the successful outcome is the coin landing heads up, which occurred 16 times. The total number of trials is 40 flips. So, the experimental probability would be:

Experimental probability (heads up) = (16 successful outcomes) / (40 total flips)

Now, divide 16 by 40 to get the probability:

Experimental probability (heads up) = 16/40 = 0.4 or 40%

So, based on the results, the experimental probability of the coin landing heads up is 40%.

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Answer:

  (x, y) ∈ { (4, 0) }

Step-by-step explanation:

When the equations are in standard form (or close to it), it is often convenient to graph them using their x- and y-intercepts. The x-intercept is found by setting y=0 and solving for x. The y-intercept is found by setting x=0 and solving for y.

2x -4y = 8

  x-intercept = 8/2 = 4

  y-intercept = 8/-4 = -2

3x +4y = 12

  x-intercept = 12/3 = 4

  y-intercept = 12/4 = 3

__

The two x-intercepts are the same, so that is the solution to the system of equations: (x, y) = (4, 0). There are various ways to write this in set notation. Simply listing the set of solutions is one of them: { (4, 0) }.

_____

Additional comment

Standard form is ax+by=c, where 'a' is positive and a, b, c are mutually prime integers (have no common factors). In the first equation, all of the coefficients are even, so 2 is a common factor. In standard form, that equation would be ...

  x -2y = 4

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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The gradient vector field of f is a field of vectors that points in the direction of the steepest increase of f at each point in the xy-plane. To find the gradient vector field of f(x, y) = tan(2x − 3y), we need to calculate the partial derivatives of f with respect to x and y.

∂f/∂x = 2sec^2(2x - 3y)
∂f/∂y = -3sec^2(2x - 3y)

The gradient vector field is then given by the vector [2sec^2(2x - 3y), -3sec^2(2x - 3y)]. This field shows the direction and magnitude of the steepest increase of f at each point. The field will be perpendicular to the level curves of f, which are the curves where f is constant. In this case, the level curves are given by the equation tan(2x − 3y) = constant.
To find the gradient vector field of f(x, y) = tan(2x - 3y), we first need to compute the partial derivatives of f with respect to x and y.

1. Calculate the partial derivative with respect to x:
∂f/∂x = (2)(sec^2(2x - 3y))

2. Calculate the partial derivative with respect to y:
∂f/∂y = (-3)(sec^2(2x - 3y))

3. Form the gradient vector field using the partial derivatives:
∇f = (∂f/∂x, ∂f/∂y) = (2sec^2(2x - 3y), -3sec^2(2x - 3y))

The gradient vector field of f(x, y) = tan(2x - 3y) is (∇f) = (2sec^2(2x - 3y), -3sec^2(2x - 3y)).

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Answer:

3/4

Step-by-step explanation:

multiply each fraction by 100 or you could find the LCM

Because the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse (the longest side), the ratio values will never be greater than one, because (some number) / (a larger number) is always less than one.

Sine & cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as follows: for the specified angle, the sine is the ratio of the length of the side opposite that angle to the length of the triangle's longest side (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.

The sine and cosine functions for an angle θ are simply denoted as sin θ and cos θ. In general, the definitions of sine and cosine can be extended to any real value expressed in terms of the lengths of specific line segments in a unit circle.

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Answer:

it actually y=1/3x+17/3

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 1/3. So you can right away fill in the equation for a line somewhat to read:

y=1/3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-2,5). When x of the line is -2, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,5).

So, why not plug in for x the number -2 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-2,5). y=mx+b or 5=1/3 × -2+b, or solving for b: b=5-(1/3)(-2). b=17/3.

The equation of the line that passes through the point (-2,5) with a slope of 1/3

is

y=1/3x+17/3

There's your explanation

Answers:

1. It's called the gatekeeper because the cell membrane serves as a barrier that keeps many foreign substances from entering the cell.

2. Mitochondria is known as the energy factory because of its role in extracting energy from food through the process of respiration.

3. The nucleus is the boss of the cell because it controls the entire cell

4. DNA is stored within a chromosome.

5. The Golgi complex sorts, modifies, and assembles proteins.

6. Protein is made from amino acids.

7. The vacuole's function is to store material.

8. Diffusion and active transport are opposites because diffusion is a non-active method for moving molecules across the cell membrane, whereas active transport involves the use of energy within the cell to move molecules.

Answer:

add up ??

Step-by-step explanation:

\(A_{ij}\) refers to the entry of \(A\) in row \(i\) and column \(j\).

When \(i=j\), the entry in question lies on the diagonal. In this case, \(A_{ij}=0\) so

\(A = \begin{bmatrix} 0 & \square & \square \\ \square & 0 & \square \\ \square & \square & 0 \end{bmatrix}\)

When \(i<j\), the row number is smaller than the column number, which happens for each \(A_{ij}\) in the upper half of \(A\).

\(A = \begin{bmatrix} 0 & -1 & -1 \\ \square & 0 & -1 \\ \square & \square & 0 \end{bmatrix}\)

When \(i>j\), the row number is larger, which happens everywhere else in the matrix.

\(A = \begin{bmatrix} 0 & -1 & -1 \\ 1 & 0 & -1 \\ 1 & 1 & 0 \end{bmatrix}\)

The equation for line B is y = (2/3)x + 7/3.

What is the slope?

The slope is a measure of how steep a line is, and it describes the rate at which the line is changing. It is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on a line.

We can start by using the fact that lines A and B are perpendicular.

The slopes of two perpendicular lines are negative reciprocals of each other, so we can find the slope of line B by taking the negative reciprocal of the slope of line A:

The slope of a line can be calculated by choosing any two points on the line and using the formula:

slope = (y2 - y1) / (x2 - x1)

the slope of line A = -3/2

slope of line B = 2/3 (negative reciprocal of -3/2)

Now we can use the point-slope form of the equation of a line to write an equation for line B. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

We know that the point (-2, 1) lies on line B, so we can use that as our (x1, y1) values.

We also know that the slope of line B is 2/3. Plugging these values into the point-slope form, we get:

y - 1 = (2/3)(x + 2)

We can simplify this equation by distributing the 2/3:

y - 1 = (2/3)x + 4/3

y = (2/3)x + 4/3 + 1

y = (2/3)x + 7/3

Therefore, the equation for line B is y = (2/3)x + 7/3.

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