Help me pleasee .. the question is in the picture.. please and thank you

The area enclosed by the ripple is increasing at a rate of  39.2π ft²/s when the radius is 3 feet. To solve this problem, we need to use the formula for the area of a circle: A = πr^2.

We know that the radius is increasing at a constant rate of 2.8 ft/s, so we can write r = 3 + 2.8t, where t is the time elapsed since the stone was dropped.

We want to find how rapidly the area enclosed by the ripple is increasing, which is the same as finding the derivative of the area with respect to time:

dA/dt = d/dt(πr^2)

Using the chain rule, we can simplify this to:

dA/dt = 2πr(dr/dt)

Now we can substitute in the expression we have for r:

dA/dt = 2π(3 + 2.8t)(2.8)

When the radius is 3 feet, we have:

dA/dt = 2π(3 + 2.8t)(2.8)

dA/dt = 39.2π ft^2/s

So the area enclosed by the ripple is increasing at a rate of 39.2π square feet per second when the radius is 3 feet.

Learn more about radius here:

https://brainly.com/question/24051825

#SPJ11

Answer:

turn 3% into decimal by diving 3 by 100

3/100=0.03

0.03X3460=103.80

3460-103.80=3356.20

3356.20-100=3256.2

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

Learn more about equation here: brainly.com/question/29657983

#SPJ11

Answer:

for A=\(\frac{7b-7}{6}\) and for B=\(\frac{6a+7}{7}\)

Step-by-step explanation:

For A

\(\left(6a-3\right)=\left(7b-10\right)\)

\(6a-3+3=7b-10+3\)

\(6a=7b-7\)

\(\frac{6a}{6}=\frac{7b}{6}-\frac{7}{6}\)

\(a=\frac{7b-7}{6}\)

For B

\(\left(6a-3\right)=\left(7b-10\right)\)

\(7b-10=\left(6a-3\right)\)

\(7b-10=6a-3\)

\(7b-10+10=6a-3+10\)

\(7b=6a+7\)

\(\frac{7b}{7}=\frac{6a}{7}+\frac{7}{7}\)

\(b=\frac{6a+7}{7}\)

3.) The area of the shape would be = 77mm².

To determine the area of the given shape, the area of the trapezium and the rectangule is both calculated and summed up

The area of a rectangle = length×width

width = 5 mm

length = 10mm

area = 10×5 = 50 mm²

Area of trapezium = ½(a+b)h

where;

a = 10mm

b = 8mm

h = 8-5 = 3mm

area = 1/2(10+8)×3

= 54/2 = 27mm²

Therefore area of the shape = 50+27 = 77mm².

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

Answer:3/5

Step-by-step explanation:

Answer:

It's probably ∠PNC

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

If the credit card was to change from a compounding period of monthly to daily, the effective interest rate would increase.

When the compounding period on a credit card changes, the effective interest rate would change as well. If the compounding period moves to a smaller period, like from months to days, then the effective interest rate will rise.

At a monthly compounding period, the effective interest rate on the credit card was:

= ( 1 + APR / Number of times for compounding in a year) ^ Number of times for compounding in a year - 1

= ( 1 + 30. 07% / 12) ¹² - 1

= 34.58%

At a daily compounding period:
= ( 1 + 30.07% / 365) ³⁶⁵ - 1

= 35.06%

The effective interest rate increased.

Find out more on effective interest rate at https://brainly.com/question/13843990

#SPJ1

Answer: C

Step-by-step explanation:

When x = -4, y = -1.

When x = -1, y = -4.

When x = 1, y = 4.

For the function in the graph,the values of f(−4), f(−1), and f(1) are −1; −4; 4.

So,The correct answer is C: −1; −4; 4  Here is an explanation of how to find the values of f(-4), f(-1), and f(1). 1. Look for the point on the graph where the x-coordinate is -4. The point with an x-coordinate of -4 is (-4, -1).

2. The point with an x-coordinate of -1 is (-1, -4). Therefore, f(-1) = -4.

3. The point with an x-coordinate of 1 is (1, 4). Therefore, f(1) = 4.

Therefore, the values of f(-4), f(-1), and f(1) are -1, -4, 4, respectively.

To find the value of a function at a specific point on a graph, follow these steps: Identify the Point: Locate the point on the graph where you want to find the value of the function. The point will be represented by coordinates (x, y).

Determine the x-coordinate: Read the x-coordinate of the point from the graph. This will be the input value for the function.

Plug into the Function: Substitute the x-coordinate into the function's expression. This will give you the formula to calculate the value of the function at that specific x-coordinate.

Calculate the Value: Perform the necessary calculations to evaluate the function using the given x-coordinate.

To know more about graph :

https://brainly.com/question/17267403

#SPJ3

Answer:

Step-by-step explanation:

-6*p ---> -6*5=-30

23 - 25<---5*5

p is 5

-30 - (-2)=-28

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ1

The numeric value of the function when x = 0 is found replacing each instance of x by zero in the definition of the function.

If a graph is given, then the numeric value is given as the value of y when the function crosses the y-axis.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

Supposing we have a function definition, then the numeric value at x = 0 is found replacing each instance of x by zero.

On graph, x = 0 is when the graph of the function touches or crosses the y-axis.

The problem is incomplete, hence the general procedure to obtain the numeric value at x = 0 was presented.

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

Answer:

Let x represent the number of packs of paper Mr. Valentino can purchase.

The inequality can be written as:

3.75x ≤ 20

To solve the inequality, divide both sides of the equation by 3.75.

x ≤ 5.33

The graph of the solution will show a line with a y-intercept of 0 and x-intercept of 5.33.

bills refer to invoices or statements issued to request payment for goods or services provided. They typically outline the amount owed, due date, and payment instructions.

Based on the claim that at most 28% of internet users pay bills online, we need to determine if the recent survey supports or contradicts this claim.

The recent survey of 326 internet users indicated that 25% pay their bills online. To determine if this supports the claim, we need to compare the survey result to the claim.

Since the claim states "at most" 28% of internet users pay bills online, it means that 28% is the maximum percentage. Therefore, if the survey result of 25% falls within this range, it supports the claim.

To calculate this, we subtract the survey result (25%) from the maximum claim (28%):

28% - 25% = 3%

Since the difference is 3%, which is a positive value, the survey result of 25% falls within the maximum claim of 28%. Therefore, the recent survey supports the claim that at most 28% of internet users pay bills online.

To know more about bills visit:

https://brainly.com/question/3816875

#SPJ11

(a). There is a 5.26% chance that the metal ball falls into a green slot.

(b). There is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.

(c). P(00 or red)  ≈ 0.5263

(d). This event is called impossible.

(a) P(green) = 2/38 = 1/19 ≈ 0.0526.

This means that there is a 5.26% chance that the metal ball falls into a green slot on any given spin of the roulette wheel.

If the wheel is spun 100 times, one would expect about 5 spins to end with the ball in a green slot. (Expected value = 100 x P(green) = 100/19 ≈ 5.26, which we round to the nearest integer.)

(b) P(green or red) = P(green) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.

If the wheel is spun 100 times, one would expect about 53 spins to end with the ball in either a green or red slot. (Expected value = 100 * P(green or red) = 2000/38 ≈ 52.63, which we round to the nearest integer.)

(c) P(00 or red) = P(00) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either 00 or a red slot on any given spin of the roulette wheel.

(d) The probability that the metal ball falls into the number 31 and a black slot simultaneously is zero, since 31 is an odd number and all odd numbers are red on the roulette wheel. This event is called impossible.

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

Answer:

multiply 5×1,000 B multiply 5×10 three times and then add the products C move the decimal point in the number five, three place values to the left D move the decimal point in the number five, three place values to the right E move the digit 5, three place values by adding three zeroes to increase its value.

Answer:

Three statements to find 5x103=515

Step-by-step explanation:

The first part of the function is a constant function, so its Fourier Transform is zero. The second part of the function is a linear function, so its Fourier Transform is a constant times

the Fourier Transform of the given function:

F(w) = where and is the Heaviside step function.

To find the Fourier Transform of the given function, we can use the following steps:

Start with the definition of the Fourier Transform:

F(w) = ∫ f(x) e^(-iwx) dx

Substitute the given function into the formula:

F(w) = ∫ 1 - x/2 0 -1 otherwise e^(-iwx) dx

Split the integral into two parts:

F(w) = ∫ 1 e^(-iwx) dx + ∫ -x/2 e^(-iwx) dx

Evaluate the first integral:

∫ 1 e^(-iwx) dx = -i/w

Evaluate the second integral:

∫ -x/2 e^(-iwx) dx = i/(2w) (e^(-iwx) - e^(iwx))

Add the two integrals to get the final answer:

F(w) =

The given function is a piecewise function, so we need to use the Heaviside step function to evaluate the Fourier Transform. The Heaviside step function is defined as follows:

H(x) = where is a real number.

In this case, the Heaviside step function is used to represent the two parts of the given function. The first part of the function is zero for

and one for. The second part of the function is zero for and

The Fourier Transform of a piecewise function can be found using the following steps:

For each part of the function, find the Fourier Transform of the function.

Add the Fourier Transforms of each part to get the final answer.

Learn more about the Fourier Transform from the given link-

https://brainly.com/question/29063535

#SPJ11

Answer:

0.00001808958

Step-by-step explanation:

hope this helps you :)

Answer:

( x )² + ( y - 3 )² = 16

Step-by-step explanation:

The general format for circular equations is ( x - a )² + ( y - b )² = r²

\(\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}\)

The equation of the circle is represented as :

\(\hookrightarrow (x - h) {}^{2} + (y - k) {}^{2} = (r) {}^{2} \)

where, h is x-coordinate and k is y-coordinate of center of the circle, and "r" is radius of the given circle.

Therefore, the equation of the above circle will look like :

\(\hookrightarrow(x - 0) {}^{2} + (y - 3) {}^{2} = {4}^{2} \)

\(\hookrightarrow {x}^{2} + (y - 3) {}^{2} = 16\)

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

Answer:

Step-by-step explanation:

Hello,

First of all we will take any real number x different from 0, -2, +2 as dividing by 0 is not allowed and then we can write

\(\dfrac{( - x - 2)}{x(x^2 - 4)}=-\dfrac{x+2}{x(x-2)(x+2)}=\large \boxed{ -\dfrac{1}{x(x-2)}}\)

because we know that

\(x^2-4=x^2-2^2=(x-2)(x+2)\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

(a) The missing numbers [1, 0, -1]], (b) the expected length of a stay in Atlanta is E(T_A) = M(A, A) = 1 / 5.(c) the probability of a trip out of Atlanta being a trip to Chicago is 1/5.

a) The missing numbers in the diagonal of the transition rate matrix Q are as follows:

Q = [[-2, 2, 0],

[2, -3, 1],

[1, 0, -1]]

b) To find the expected length of a stay in Atlanta (E(T_A)), we need to calculate the mean first passage time from Atlanta (A) to Atlanta (A). The mean first passage time from state i to state j, denoted as M(i, j), can be found using the following formula:

M(i, j) = 1 / q(i)

where q(i) represents the sum of transition rates out of state i. In this case, we need to find M(A, A), which represents the mean time to return to Atlanta starting from Atlanta.

q(A) = 2 + 2 + 1 = 5

M(A, A) = 1 / q(A) = 1 / 5

Therefore, the expected length of a stay in Atlanta is E(T_A) = M(A, A) = 1 / 5.

c) The probability of a trip out of Atlanta being a trip to Chicago (P_AC) can be calculated by dividing the transition rate from Atlanta to Chicago (C_AC) by the sum of the transition rates out of Atlanta (q(A)).

C_AC = 1

q(A) = 2 + 2 + 1 = 5

P_AC = C_AC / q(A) = 1 / 5

Therefore, the probability of a trip out of Atlanta being a trip to Chicago is 1/5.

d) To find the stationary distribution (πA, πB, πC), we need to solve the following equation:

πQ = 0

where π represents the stationary distribution vector and Q is the transition rate matrix. In this case, we have:

[πA, πB, πC] [[-2, 2, 0],

[2, -3, 1],

[1, 0, -1]] = [0, 0, 0]

Solving this system of equations, we can find the stationary distribution vector:

πA = 2/3, πB = 1/3, πC = 0

Therefore, the stationary distribution is (2/3, 1/3, 0).

The fraction of the year that the salesman spends on average in Atlanta is equal to the value of the stationary distribution πA, which is 2/3.

e) The average number of trips each year from Atlanta to Chicago (nAC) can be calculated by multiplying the transition rate from Atlanta to Chicago (C_AC) by the fraction of the year spent in Atlanta (πA).

C_AC = 1

πA = 2/3

nAC = C_AC * πA = 1 * (2/3) = 2/3

Therefore, on average, the salesman makes 2/3 trips each year from Atlanta to Chicago.

To know more about probability refer to

https://brainly.com/question/32004014

#SPJ11

Answer:

1) \(m\)∠JKL = 145°

2) \(m\)∠IHG = 164°

3) \(m\)∠NME = 50°

4) \(m\)∠TUV = 178°

I hope this helps! (✿◠‿◠)

A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable.

In experimental research, an independent variable is a variable that the researcher manipulates or systematically varies in order to study its effect on the dependent variable. It is called "independent" because it is not influenced by any other variables in the experiment, and its effects on the dependent variable can be observed and measured independently of any other factors.

Only when a possible design confound fluctuates systematically with the independent variable does internal validity come under threat. In other words, it might be challenging to distinguish between the effects seen on the dependent variable and the independent variable if there is a component that fluctuates consistently or predictably with changes in the independent variable. Internal validity is less likely to be threatened by random or unplanned variation.

To learn more about independent variables, refer to:

https://brainly.com/question/82796

#SPJ4

A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable. This means that if the confound varies randomly or haphazardly, it is less likely to affect the results of the study.

This means that the confound is consistently related to the independent variable, making it difficult to determine if the observed effects are due to the independent variable or the confound. If the confound varies spontaneously or haphazardly, it is less likely to pose a threat to internal validity, as it would not be consistently associated with the independent variable.

However, if the confound is related to the independent variable in a consistent and predictable way, it can introduce bias and undermine the internal validity of the study. It is important for researchers to carefully control for potential confounds and ensure that any observed effects are truly due to the independent variable and not some other factor.

To learn more about Independent variable: brainly.com/question/1479694

#SPJ11

Answer:

what are the options

The metric system of measurement is based on the number 10.

This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.

To learn more about the metric system, refer:-

https://brainly.com/question/29953513

#SPJ4

Answer:

B. 10 km. per minute

Step-by-step explanation:

A unit rate is a ratio that is over 1. 10 km. per minute is describing how many km. in one minute. A unit rate can then be used to predict ratios further in a sequence by multiplying the minutes with the 10 km.

Hope that helps!

Answer:

b

Step-by-step explanation:

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

To learn more about matrix visit:

brainly.com/question/29239316

#SPJ11

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

Know more about bottleneck  here,

https://brainly.com/question/32590341

#SPJ11