The speed, s, of the current in a certain whirlpool is modeled by x = StartFraction 300 Over d EndFraction, where d is the distance from the center of the whirlpool. Which statement is true?

Answer:

True

Step-by-step explanation:

If answered this question before

Answer:

yes

Step-by-step explanation:

Answer:

the correct answer for the rectangular prisim is 32

The surface are of the rectangular cuboid is 32.

1. Label the length (l), width (w), and height (h) of the prism

2. Use the formula, SA=2lw+2lh+2hw, to find the surface area.

Another option:

- Add the areas of all 6 faces

Answer:

2/7 .2857

Step-by-step explanation:

The equation that represents the deer population after "n" years is p = 10(2^n). No given option is correct.

This equation takes the initial population of 10 and multiplies it by 2 raised to the power of "n," which represents the number of years. As the population doubles every year, we need to use exponential growth to calculate the population at any given year.

Option A (p = 10(2)') and option B (p = 2(10)') are incorrect because they do not properly account for the exponential growth of the population. Option C (+ = 10 2D + = 2(10)) is also incorrect as it is not a valid equation and does not make sense in the context of the problem. Therefore, the correct equation is p = 10(2^n). No given option is correct.

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Answer:

Step-by-step explanation:

3 feet above the shark

5x^4 - 6x^7 + 1  is a rational function.

A rational function is one that can be written as a polynomial divided by a polynomial. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator.

As, the rational function are written as

P(x)/ Q(x), Q(x)≠0

So,

5x^4 - 6x^7 + 1 can be written as 5x^4 - 6x^7 + 1 /1.

So, 5x^4 - 6x^7 + 1  is a rational function.

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The solution of the system goes to infinity as t gets large.

Consider the given system of differential equations: dx/dt = 3x + 4ydy/dt = −x − 2yNow, find the solution of the system:(2)   dx/dt + 2 dy/dt = 7xObserve the second equation and multiply it by 2:2  dy / dt = −2x − 4y(3)   dx/dt + 2 dy/dt = 3x − 4ySubstitute the value of dy/dt from (3) into (2):(2)   dx/dt + 3x − 4y = 7xSimplify this equation:dx/dt − 4x = 4yTake the laplace transform of both sides: Laplace{dx/dt − 4x} = Laplace{4y} ⇒ sX(s) − x(0) − 4X(s) = 4Y(s) ⇒ X(s) = {4Y(s)}/{s − 4}Now, find the Laplace transform of y(s):(1)   dy/dt = −x − 2y ⇒ Laplace{dy/dt} = −Laplace{x} − 2Laplace{y} ⇒ sY(s) − y(0) = −X(s) − 2Y(s) ⇒ Y(s) = {−X(s)}/{s + 2}Substitute the value of X(s) in the above equation, we get:Y(s) = {−4Y(s)}/[(s − 4)(s + 2)]Simplify this equation:Y(s) = {A}/{s − 4} + {B}/{s + 2}Now, find the values of A and B:Multiplying the above equation by (s − 4) and (s + 2), we get:Y(s) = A(s + 2) + B(s − 4)Simplify this equation:Y(s) = (A + B)s + 2A − 4BAs per the equation (3), we can say A + B = 0, 2A − 4B = −4On solving, we get A = 2, B = −2Therefore, the value of Y(s) is:Y(s) = {2}/{s − 4} − {2}/{s + 2}Now, substitute the value of X(s) and Y(s) in the following equation:dx/dt − 4x = 4yThe solution of the above differential equation is:x(t) = {2}/{3}e^{4t} − {5}/{3}e^{-2t}The above is the general solution of the given system of differential equations.Now, find what happens to the system as t gets large?As t gets large, the term {5}/{3}e^{-2t} will tend to zero and {2}/{3}e^{4t} will tend to infinity.

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Answer:

A. 1/6

B. 1

Step-by-step explanation:

A. 9/j x j/54= 9/54 = 1/6

B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1

Answer:

a. 3/2

b. 1

Step-by-step explanation:

A. To simplify the expression, we can cancel out the common factor of j:

9/j * j/54 = (9/1 * 1/6) = 3/2

Therefore, 9/j * j/54 simplifies to 3/2.

B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,

(a/b) ÷ (c/d) = (a/b) x (d/c)

Using this rule, we can simplify the given expression as follows:

6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)

             = (6/8) x (4/3)  

             = 2/2

             = 1

the parallelepipeds' volume with neighboring edges is 16

The faces of a parallelepiped, a three-dimensional shape, are all parallelograms. It derives from the Greek phrase "an thing having parallel plane." In essence, it is a three-dimensional shape or a prism with a parallelogram base that is created by six parallelogram sides.

\(\vec{(PQ)}=\) (3+1, 0-2 ,1-5) = (4 , -2 , -4)

\(\vec{(PR)}=\) (3-5, 0-1 ,1+1) = (-2 , -1 , 2)

\(\vec{(PS)}=\) (3-0, 0-4 ,1-2) = (3 , 4 , -1)

The scalar triple product is given by the determinant of the matrix (3X3) that has in the rows the three components of the three vectors:

\(\left[\begin{array}{ccc}+4&-2&-4\\-2&-1&+2\\3&-4&-1\end{array}\right]\)'

and the determinant is shown as an illustration using the Laplace rule (first row):

\(4[(-1)(-1) - (2)(-4)] -(-2) [(-2)(-1) - (2)(3)] +(-4)[(-2)(-4)-(-1)(3)]=4(1+8)+2(2-6)-4(8+3)=36-8-44=-16\)

So the volume is: V=\(|-16|\)=16

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As per the required total time taken by one person to complete a task from beginning to end without taking into any account holidays, time off, or any other project work is known as Work effort estimate.

As given in the question,

Total time taken by one person to complete the task with conditions:

-: From beginning to end no holiday.

-: No time off

-: no other project work

A. Duration estimate represents the time taken to complete any project.

Incorrect option.

B. Work effort estimate represents the point clearly mentioned to what is required to complete the task.

Here clearly mentioned all the points .

Correct option.

C .  Bottom-up estimate represents estimates for individual components of work that are designed to rolled up into the overall estimate.

Incorrect option.

D. Parametric estimate represents the different parameters like total cost , time and resources required for the project.

Incorrect option.

Therefore, for the required total time taken by one person to complete a task from beginning to end without taking into any account holidays, time off, or any other project work is known as Work effort estimate.

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Answer:

320

Step-by-step explanation:

With regards to the above, if a 16 year old person who earns $8,000 makes 64 posts in a week, what is the value of k.

We can find the value of k to be;

64 = (√16)/(3√8,000) . k

= 4/20 . k

= 1/5 . k

= 0.2k

K = 64 × 5

K = 320

After ten years, you will have approximately $34,448.12.

To calculate the future value of an amount invested at a certain interest rate, we can use the compound interest formula:

Future Value = Present Value * (1 + interest rate)^number of periods

In this case, we will receive $15,500 in three years and then invest it for seven more years at a 9% interest rate.

Step 1: Calculate the future value after three years.

Future Value after three years = $15,500 * (1 + 0.09)^3

Step 2: Calculate the future value after ten years (three years plus the additional seven years).

Future Value after ten years = Future Value after three years * (1 + 0.09)^7

Let's calculate the future value using the given values:

Future Value after three years = $15,500 * (1 + 0.09)^3

= $15,500 * (1.09)^3

= $15,500 * 1.295029

= $20,045.45

Future Value after ten years = $20,045.45 * (1 + 0.09)^7

= $20,045.45 * (1.09)^7

= $20,045.45 * 1.71899

= $34,448.12

Therefore, after ten years, you will have approximately $34,448.12.

It's important to note that this calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., semi-annually or quarterly), the calculation would be slightly different.

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1) The time is 9 years 6 months

2) The time is 6 years and 4 months

3) z is 7.7

4) t is  6.9

We know that;

1) A =Pe^rt

4434 = 1160e^0.14t

4434/1160 =e^0.14t

3.8 = e^0.14t

ln(3.8) = 0.14t

t = 9 years 6 months

2) A =P(1 + r/n)^nt

14323 = 6000(1 + 0.14/12)^12t

2.4 = (1 + 0.14/12)^12t

ln(2.4) = 12tln(1.01)

t = ln(2.4) /12ln(1.01)

t = 0.87/0.12

t = 6 years and 4 months

3) Using cosine rule

z^2 = 6^2 + 13^2 - (2 * 6 * 13) Cos 21

z^2 = 36 + 169 - 146

z = 7.7

4) Using sine rule

Angle U = 180 - (75 + 58)

U = 47

t/Sin58 = 6/Sin 47

t = 6Sin 58/Sin 47

t = 5.1/0.73

t = 6.9

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-11/9 < c is the simplest form of the given inequality

What is Linear Inequality?

A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It displays data that is not equal in graph form.

Solution:

In this question all that we have to do is to seperate the variable terms and the constant terms

It is showwn in the solution below

c - 8 < 10c + 3

-8-3 < 10c - c

-11 < 9c

-11/9 < c

as you can see after seperating the terms we can surely make an inequality

Refer to the Graph Attached

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Answer:

# 8 :should be something along the lines of  

x - 3 = y

Step-by-step explanation:

#8: for example

-2 goes to -5

17 goes to 14

1 goes to -2

3 goes to 0

not entirely sure

Answer:

x = 6°

Step-by-step explanation:

∠7 and ∠5 are equal because the two intersecting lines are parallel.

The equation is:

78° = 12x + 6°

Subtract 6 from both sides

72° = 12x

Divide by 12 on both sides

6° = x

x = 6°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

91.99ft

Step-by-step explanation:

a = c^2/4(3.14)
a = 34^2/4(3.14) = 91.99156ft^2

= 91.99

Answer:

0

Step-by-step explanation:

g(-1)=3×(-1)²-2×(-1)-5 g(-1)=3×1+2-5 g(-1)=3+2-5 g(-1)=5-5 g(-1)=0 ......

The value of g(x) = 3x² - 2x - 5, at x = -1 is g(-1) and it is equal to zero.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x) = 3x² - 2x - 5.

Now, The value of g(-1) is the same as x = - 1 in g(x).

Therefore, g(-1) = 3(-1)² - 2(-1) - 5.

g(-1) = 3 + 2 - 5.

g(-1) = 0.

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The fact that black youths are tried as adults more frequently than other races is a statistic. However, without further information such as sample size and significance level, it is difficult to determine the contribution to the test statistic and the p-value.

A larger sample size could potentially increase the test statistic and decrease the p-value, indicating a stronger relationship between race and being tried as an adult. On the other hand, a smaller sample size could result in a weaker relationship and a higher p-value. It is important to consider all relevant factors when interpreting statistics and making conclusions.
This result contributes to the test statistic, which is a numerical value that helps determine if there is a significant difference between the compared groups.

In this case, the test statistic would be larger, indicating a greater difference between the rates of black youths tried as adults and those of other races. A larger test statistic typically leads to a smaller p-value, which is a measure of the probability of observing such a difference by chance alone. A smaller p-value (usually less than 0.05) suggests that the observed difference is not due to chance and is statistically significant, indicating a possible disparity in the treatment of black youths within the justice system.

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Based on the triangle midsegment theorem, the length of HI is: 8 units.

Every triangle has three midsegments. A midsegment of a triangle can be described as the segment that intersects two sides of a triangle at their midpoint.

For example, in the diagram given, the midsegments in triangle GHI are segments JL, KL, and JK.

According to the triangle midsegment theorem:

JL = 1/2(HI)

KL = 1/2(HG)

JK = 1/2(GI)

Given that, JL = 4 units, applying the triangle midsegment theorem, we would have:

JL = 1/2(HI)

4 = 1/2(HI)

Multiply both sides by 2

2(4) = 1/2(HI)(2) [multiplication property]

8 = HI

HI = 8 units

In conclusion, based on the triangle midsegment theorem, the length of HI is: 8 units.

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The ability for Nike to manufacture its own shoes and then build stores for distribution is an example of Forward Integration.

What is forward integration ?

In order to lower manufacturing costs and increase efficiency, a sort of vertical integration known as "forward integration" moves up the supply chain.

An operational competency is what?

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Using Benford's law, based on the probability that amount's first digit of a randomly chosen invoice is an 8 or a 9 is 0.097, a) you expect to examine 10.309 invoices until you get one that begins with an 8 or 9. b) If you don't get an amount starting with an 8 or 9 until the 40th invoice, then the probability of this happening is 0.0000124, which is a very low probability, which suggests that the invoice amounts may not be genuine.

According to Benford's law, the given probability that the first digit of the amount of a randomly chosen invoice is an 8 or a 9 is 0.097.

(a) The expected number of invoices to examine until you get one that begins with an 8 or 9 can be calculated using the formula

E(X) = 1/p, where p is the probability of the desired outcome.

In this case, p = 0.097, so E(X) = 1/0.097 = 10.309. Therefore, you can expect to examine about 10 invoices until you get one that begins with an 8 or 9.

(b) If you don't get an amount starting with an 8 or 9 until the 40th invoice, you may suspect that the invoice amounts are not genuine.

To compute an appropriate probability to support your answer, you can use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, and p is the probability of success.

In this case, n = 39, k = 0, and p = 0.097. So, P(X = 0) = (39 choose 0) * 0.097^0 * (1-0.097)^(39-0) = 0.023. This means that the probability of not getting an amount starting with an 8 or 9 in the first 39 invoices is 0.023, which is quite low. This supports the suspicion that the invoice amounts may not be genuine.

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Using proportions, it is found that it will take 75 loads to move all the gravel.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In one load, they mode 80 pounds. How many loads are needed to move 3 tons = 3 x 2000 = 6000 pounds? The rule of three is given as follows:

1 load - 80 pounds

x loads - 6000 pounds

Applying cross multiplication:

80x = 6000

x = 6000/80

x = 75.

It will take 75 loads to move all the gravel.

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Answer:

Step-by-step explanation:

10^7 = 1 and 7 zeros after it.

=> 10000000

The slope of the given lines are:

Graph 1 = 1/3

Graph 2 = -1/3

Graph 3 = 3

Graph 4 = -3

To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:

Slope of a line (m) = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\).

Find the slope of Graph 1:

Using two points on the line, (0, 0) and (3, 1):

Slope of graph 1 (m) = (1 - 0)/(3 - 0)

Slope of graph 1 (m) = 1/3

Find the slope of Graph 2:

Using two points on the line, (0, 0) and (-3, 1):

Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3

Slope of graph 2 (m) = -1/3

Find the slope of Graph 3:

Using two points on the line, (0, 0) and (1, 3):

Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1

Slope of graph 3 (m) = 3

Find the slope of Graph 4:

Using two points on the line, (0, 0) and (-1, 3):

Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1

Slope of graph 4 (m) = -3

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Answer:

C, never negative

absolute value is like asking for "how much away from zero", so -5 is 5 away from zero.

The graph of the function is increasing when x>0.

Graph a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

here, we have,

We know, cube root parent is:

The basic parent cube root function is of the form f (x) = ∛x. It increases on the interval (-∞, ∞). It increases on the interval [0, ∞). It is positive on (0, ∞) and negative on (-∞, 0). It is a non-negative function always (on [0, ∞)). Its absolute min is 0 but no absolute max. Its domain and range is the set of all real numbers.

Given,

The function f(x) = ∛x

Let x = 1, we get f(x) = 1,

x =2, f(x) = 8

if x =3, f(x) = 27.

As we know, with increase in the value of x, the value of f(x) is also increasing.

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Answer:

Answer:56.8

Step-by-step explanation:

First you get how much he earned

Then you get how much days he worked

Then you divide

£284/5

Answer: £57.20

Hope this helps you guys!

Answer:

Its already solved, -4+25 does equal -4+25

Step-by-step explanation:

Answer:

you can solve this anymore....

Step-by-step explanation:

On solving the provided query we have   His net pay would be the amount he receives after this $783 has been subtracted from his gross income. This $783 reflects his withholdings.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

The amount that an employer withholds from an employee's paycheck to pay for taxes, insurance premiums, and other deductions like retirement contributions or wage garnishments is known as a withholding. Before the employee receives their net pay—the amount they actually take home after all deductions are done—these deductions are made.

For Miguel, taxes, insurance, and retirement plan payments total $783, and these are taken from each pay period. His net pay would be the amount he receives after this $783 has been subtracted from his gross income. This $783 reflects his withholdings.

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Answer: C. Withholdings

Step-by-step explanation:

just did it and got it right