The low point of the Japanese
Trench, in the Pacific Ocean, is
-10,372 meters. The low point of
the Puerto Rico Trench, in the
Atlantic Ocean, is 1,172 meters
higher. What is the depth of the
Puerto Rico Trench?

Answer:

Answer C: Reflecting over the line y = x

Step-by-step explanation:

A function and its inverse have always symmetry around the line y = x (called also the identity line)

Therefore answer C seems to be the only answer that addresses such.

Answer:

44.77

Step-by-step explanation:

13.1x3.70=13.1x3.7

37x131=4477

get back the decmial point 44.77

The Complete value for the Table is

x               f(x)                   g(x)

1                8                         1.1

5               20                  1.61051

10              35                  2.5937

20             65                   6.7274

The function f(x) grows with faster rate.

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

We have f(x) = 3x+ 5 and g(x) = \((1.1)^x\)

The Complete value for the Table is

x                   f(x)                                           g(x)

1               3x+ 5 = 3(1) +5= 8                         1.1

5              3x+ 5 = 3(5) +5= 20                      \((1.1)^5\)= 1.61051

10             3x+ 5 = 3(10) +5= 35                    \((1.1)^{10}\)= 2.5937

20            3x+ 5 = 3(20) +5= 65                    \((1.1)^{20}\)= 6.7274

So, the function f(x) grows with faster rate.

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Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a shoemaker makes three new souls every four minutes, the number of soles he will make in an hour can expressed as shown;

3 souls = 4 minutes

x souls = 1hour (60 minutes)

Cross multiplying to get the number of souls;

4 * x = 3 * 60

4x = 180

x = 180/4

x = 45souls

Hence the number of souls made by this shoemaker in an hour is 45 souls.

Similarly, If another shoemaker makes two new souls every three minutes, the number of soles he will make in an hour can expressed as shown;

2 souls = 3 minutes

y souls = 1hour (60 minutes)

Cross multiplying to get the number of souls;

3 * y = 2 * 60

3y = 120

y = 120/4

y = 30souls

Therefore the number of souls made by this shoemaker in an hour is 30 souls.

The difference in the number souls they made in an hour will be x - y where x = 45 souls and y = 30 souls.

x - y = 45 - 30

The difference is equal to 15 souls

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

k ≠ 3

Step-by-step explanation:

Given the system of equation;

kx - y = 2 ------------------- 1

6x - 2y = 3 -------------------- 2

Rewriting the equations in the format ax+by+c = 0

Equation 1 becomes kx - y - 2 = 0

Equation 2 becomes 6x - 2y - 3 = 0

where a₁ = k, b₁ = -1 and c₁ = -2  and a₂ = 6, b₂ = -2 and c₂ = -3

For the system of equation to have a unique solution the following must be true;

a₁/a₂ ≠ b₁/b₁

Substituting the coefficients into the condition, we will have;

k/6 ≠ -1/-2

k/6 ≠ 1/2

Cross multiplying we will have;

2k ≠ 6

k ≠ 6/2

k ≠ 3

This means that k can be any other real values except 3 for the system of equation to have a unique solution.

Answer:

The third picture

Step-by-step explanation:

Solve for x in both equations

2x<6

Divide both sides by 2:

x<3

3x+2>-4

Subtract 2 from both sides:

3x>-6

Divide both sides by 3:

x>-2

There is this trick you can use when x is on the left side of the equation to find out which way to shade in you graph. Keep in mind this is only for the left side, it will not work if your variable is on the right.

When the symbol is facing left < then shade left, imagine it is pointing which way to shade. x<3 is represented by the 3 picture on the left. When the symbol is facing right > then shade right, again it is pointing which way to shade. x>-2 is represented by the 3 picture on the right.

The circles are not filled in because the symbol is < and > rather than \(\leq and \geq\). When it is greater than or equal to or less than and equal to (represented by the line under the symbol), then the circle is shaded in.

Answer:

The hand moved \(\bf \frac{3}{4}\) of a complete turn.

Step-by-step explanation:

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     \(\frac{1}{12}\) turns

9 hours     ⇒     \(\frac{1}{12}\)  × 9 = \(\frac{9}{12}\)

                                     = \(\bf \frac{3}{4}\) turns    (simplified)

∴ The hand moved \(\bf \frac{3}{4}\) of a complete turn.

The answer is  \(\boxed{\frac{3}{4}}\).

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

Answer:

hope u understand

180°-142°=38°

x=38°

here is your answer

mark as brilliant and follow pls

Answer:

142

Step-by-step explanation:

because it is an obtuse angle and it is equvilent to an exteroir angle which is also 142 degrees

pls mark brainliest

Answer:

D

Step-by-step explanation:

Comment

Only C can be eliminated. The 4 does not effect the minus one. The answer is going to be is going to have a positive y.

A is not correct. The 4 is a power and does not effect anything but the y. The 1 remains -1

B is not correct. The power on the y does not multiply by - 1. The power only effects the y.

C is probably  the second best answer, but it is still incorrect. -1 remains as minus 1.

D that leaves D. The minus 1 stays as minus 1. It does not have to be written in the answer. The minus does however. The -4 brings the answer up to the denominator, (the top) as it is shown.  So the answer is

-y^4

Answer:

perimeter =52cm

hope it helps.

Answer:

52 cm (second opinion)

Step-by-step explanation:

add all the sides

The zeros of the function f(x) = (x + 6)(x - 5)(x - 4) are x = -6, x = 5, and x = 4.

Address for x to choose the zeros of the ability f(x) = (x + 6)(x - 5)(x - 4), then, set the capacity to nothing. A function's zeros are the values of x for which it evaluates to zero.

We own: if f(x) is set to zero.

The zero product property, which states that the product of two or more factors must have a value of zero (x + 6, x - 5, x - 4) in order to be zero, can now be used. As a result, we can use the following method to solve for x:

As needs be, the zeros of the limit f(x) = (x + 6)(x - 5)(x - 4) are x = - 6, x = 5, and x = 4. x minus 6 gives you 0; x minus 5 results in 0; what's more, x short 4 equivalents 0;

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The total cost of the upgrades is $3280.

It is an economic measure that sums all expenses paid to the product, purchase, and investment. It refers to the overall cost of a product which includes both fixed and variable components of the cost. It works by allocating all the costs of doing business to the goods or services for sale. These are composed of both total fixed costs and total variable costs.

The given expression is 4t+2f+3e+1d

From the table, The values of t, f, e, and d in the cost column are 50, 40, 600, and 1200.

Substituting the values in the above equation.

4(50) + 2(40) + 3(600) + 1(1200) = 3280

Therefore, the total cost is $3280.

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The complete question is:

a. The curve can be plotted using the parametric equations x(t) = t*cos(t) and y(t) = t*sin(t) in Desmos.

b. To find the distance traveled by the robot between t = 0 and t = 2π, we need to calculate the arc length of the curve. The arc length formula for a parametric curve is given by the integral of the square root of the sum of the squares of the derivatives of x(t) and y(t) with respect to t, integrated over the given interval.

Using the arc length formula, the distance traveled by the robot between t = 0 and t = 2π can be calculated as follows:

Distance = ∫[0, 2π] √[(dx/dt)^2 + (dy/dt)^2] dt

= ∫[0, 2π] √[(cos(t) - t*sin(t))^2 + (sin(t) + t*cos(t))^2] dt

This integral can be evaluated numerically to find the exact distance traveled by the robot.

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Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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Answer: x=2

Step-by-step explanation: I download and I see your work and that my answer up there, hope this help

Answer:

The largest side is OP.

Step-by-step explanation:

ΔNOP, m∠N = 110° and m∠O = 38°

According to he property of the triangle, the sum of all the angles of the triangle is 180°,  

So,

m∠N +  m∠O + m∠P = 180°

110° + 38° + m∠P = 180°

m∠P  =  32°

The side opposite to the largest angle is largest.

Here the largest angle is m∠N  so the largest side is OP.

Answer:

             \(\bold{E\ =\ \dfrac{6V-3}4=\dfrac32V-\dfrac34}\)

Step-by-step explanation:

\(\bold{6+4E-6V\ =\ 3}\\\\{}\ \ -6+6V\qquad -6+6V\\\\\bold{4E\ =\ 3-6+6V}\\\\\bold{4E\ =\ 6V-3}\\\\\div4\quad\ \div4\\\\\bold{E\ =\ \frac{6V-3}4=\frac32V-\frac34}\)

Answer:

6.2

Step-by-step explanation: TOOK THE TEST

Answer:

2 4 6 8 12 14 16 18 20

Step-by-step explanation:

Answer:2 4 6 8 10 12 14 16 18 20

Step-by-step explanation: just add them or count by 2

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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The power of a statistical test is the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true. In this case, since the Type II error probability is given as 0.14, the power of the test is 1 minus 0.14 = 0.86. Therefore, the statistical test has a 0.86 probability of correctly detecting the alternative hypothesis when it is true. It is important to note that the power of the test is affected by various factors, such as the sample size, effect size, and significance level, among others.

To find the power of a statistical test, we need to consider the given information about the Type II error probability.

A Type II error occurs when the null hypothesis is falsely accepted when the alternative hypothesis is true. The power of a test is the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true, which is the complement of the probability of making a Type II error.

Given that the statistical test has a 0.14 probability of making a Type II error when a specific alternative is true, we can find the power of the test using the following formula:

Power = 1 - Probability of Type II error

In this case, the probability of making a Type II error is 0.14, so:

Power = 1 - 0.14
Power = 0.86

So, the power of the test against this specific alternative is 0.86.

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Answer:

Probability[Tail side of coin and rolling 1 on die] = 1/12

Step-by-step explanation:

Given:

Coin tossed

Die roll

Find:

Probability[Tail side of coin and rolling 1 on die]

Computation:

Probability of an event = Favorable outcome / Total outcomes

Probability of getting tail on coin = 1 / 2

Probability of getting 1 on die = 1 /6

P[A and B] = P(A) x P(B)

Probability[Tail side of coin and rolling 1 on die] = Probability of getting tail on coin x Probability of getting 1 on die

Probability[Tail side of coin and rolling 1 on die] = [1/2][1/6]

Probability[Tail side of coin and rolling 1 on die] = 1/12

Based on the  calculation done, one can't have a negative number, thus, the regular polygon does not exist.

For a regular polygon of N sides, the measure of each interior angle is:A = (N - 2)*180/N

Here we want to have an interior angle of 220°, then we need to solve the equation:220° =  (N - 2)*180/N

For N, so let's do that: N*220° = (N - 2)*180°We can see that this equation has no solution for N integer:

N*220° = N*180° - 360°N*220° - N*180° = -360°N*40° = -360°N = -360°/40° = -9

We can't have a negative number, thus, the regular polygon does not exist.

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Answer: -16

Step-by-step explanation:

Answer:

Ans: Rs 181.44.

Step-by-step explanation:

The function f(x) = x^2 + 1/(x^2 - 1) has several characteristics that can be analyzed through a table. The table should include the critical points, vertical asymptotes, horizontal asymptotes, intervals of increase and decrease, and the behavior as x approaches positive and negative infinity.

To analyze the graph of f(x) = x^2 + 1/(x^2 - 1), we can create a table that shows the characteristics of the function at different points or intervals.

1. Critical Points: Determine the points where the derivative of the function is zero or undefined to find critical points.

2. Vertical Asymptotes: Identify values of x where the denominator of the function becomes zero, resulting in vertical asymptotes.

3. Horizontal Asymptotes: Examine the behavior of the function as x approaches positive and negative infinity to determine horizontal asymptotes.

4. Intervals of Increase and Decrease: Determine the intervals where the function is increasing or decreasing by analyzing the sign of the derivative.

5. Behavior as x approaches positive and negative infinity: Evaluate the limit of the function as x approaches positive and negative infinity to determine the behavior of the graph at those points.

Creating a table that includes these characteristics will provide a comprehensive analysis of the graph of the function.

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