HELP ME WITH AREAA PLSSS

∇f(x, y) of the function  f(x, y) = 1 / squareroot (x^2 + y^2) is

Given function is f (x, y) = 1 / squareroot (x ^ 2 + y ^ 2)

∇f(x, y) that is the gradient of the function is (\(f_{x}\), \(f_{y}\))

\(f_{x}\) = partial differentiation of the given function with respect to x

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

\(f_{y}\) = partial differentiation of the given function with respect to y

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

Hence, the ∇f(x, y), the gradient of the function is:

(- x / ( (x ^ 2 + y ^ 2) ^ 3/2) , - y / ( (x ^ 2 + y ^ 2) ^ 3/2))

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Answer:

1st answer choice

Step-by-step explanation:

Let me know if you need an explanation

Answer:

A. y = 20x +75

Step-by-step explanation:

y is the amount of the bike because Melanie is saving for a new bike. That get's rid of C & D immediately.

$75 is the amount she already has so that can be a number on it's own without an x value

The answer is A because she is planning on saving $20 each week meaning if you were to solve this problem you would put the amount of weeks she saved and replace it with x. Then you would add the 75 dollars and get the amount the bike is (y).

Answer:

50m

Step-by-step explanation:

let the width be x

length=3x

3x+3x+x+x=400

8x=400

x=400÷8

x=50

Answer:

12 miles+14 miles+18 miles+12 miles+15 miles= 71 miles.    

Step-by-step explanation:

Give the full question next time alright?

Answer:

To multiply (3x - 4y) and (4x - 7y), we need to use the distributive property, which states that: a(b + c) = ab + ac Using this property, we can expand the given expression as: (3x - 4y)(4x - 7y) = 3x(4x) + 3x(-7y) - 4y(4x) - 4y(-7y) Simplifying each term, we get: = 12x^2 - 21xy - 16xy + 28y^2 = 12x^2 - 37xy + 28y^2 Therefore, the simplified answer is 12x^2 - 37xy + 28y^2.

To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

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Using pearson's correlation Coefficient,

The value of t-score corresponding to the provide sample is 3.23...

Pearson's correlation coefficient :

Pearson's correlation method is the most commonly used method for numeric variables. Assign a value between −1 and 1. 0 is no correlation, 1 is completely positive correlation, -1 is completely negative correlation.

The correlation coefficient is denoted by "r".

Testing of significant correlation coefficient:

The formula for the test statistic is

t = ( r√(n-2) )/√1-r^2

where,

t-----> value of the test statistic

n----> sample size

r------> correlation coefficient

we have given that,

correlation coefficient of sample (r) = o.45

sample size (n)= 35

we have to calculate the value of the test statistic. putting all the values in above formula,

t = ( 0.45√(35-2) )/√(1 - (0.45)^2)

=> t = ( 0.45 √33)/√(1-0.202) = 2.58/0.79

=> t = 3.23

Hence, the t-score corresponding to provide sample is 3.23..

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Answer: C

Step-by-step explanation: When I graphed the equation and went to -1 y, the answer was -4.

Answer:

Step-by-step explanation:

180 degree

One bagel costs 155 cents.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.

Let x = cost of one bagel

y = cost of one toast

z = cost of one muffin

If two pieces of toast and a bagel costs $3.15, then 2y + x = 3.15.

2y + x = 3.15   ⇒   x = 3.15 - 2y     (equation 1)

If a bagel and a muffin costs $3.30, then x + z = 3.30.

x + z = 3.30     (equation 2)

Substitute equation 1 to equation 2.

x + z = 3.30     (equation 2)

3.15 - 2y + z = 3.30   ⇒   z = 0.15 + 2y      (equation 3)

If a piece of toast, two bagels, and three muffins costs $9.15, then

y + 2x + 3z = 9.15     (equation 4)

Substitute equations 1 and 3 to equation 4.

y + 2x + 3z = 9.15     (equation 4)

y + 2(3.15 - 2y) + 3(0.15 + 2y) = 9.15

y + 6.30 - 4y + 0.45 + 6y = 9.15

3y = 2.4

y = 0.8

Substitute the value of y to equation 1.

x = 3.15 - 2y     (equation 1)

x = 3.15 - 2(0.8)

x = 1.55

Hence, the cost of one bagel is $1.55 or 155 cents.

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The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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ANSWER:

140

EXPLANATION:

Given:

We can go ahead and simplify as seen below;

Therefore the answer is 140

Answer:

-3(2x+3)=21 does not become -6x+9=21 because wrong foiling.

Step-by-step explanation:

When you distribute -3 with 2x+3 you multiply both values by -3.

-3*2x = -6x

-3*3 = -9 <- This is where the error is. It's -9, not +9.

Using an exponential function, it is found that the approximate number of crimes in the year of 2016 was of 2502.

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 + r)^t\)

In which:

In this problem, there were 550 crimes in the initial year observed, and the growth rate is of 6%, hence the parameters are A(0) = 550, r = 0.06, and the equation is given by:

\(A(t) = A(0)(1 + r)^t\)

\(A(t) = 550(1 + 0.06)^t\)

\(A(t) = 550(1.06)^t\)

2016 is 26 years after 1990, hence:

\(A(26) = 550(1.06)^{26} \approx 2502\)

The approximate number of crimes in the year of 2016 was of 2502.

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Binary integer variables are variables whose values consist of two values, 0 and 1.

Correct answer will be :- b. Variables with values 0 and 1.

These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.

For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.

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Answer:

21 guests

Step-by-step explanation:

15 ÷ (5/7) = 15 * 7/5 = 105 / 5 = 21

The general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is: y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

To solve this differential equation, we can use separation of variables.

First, we can rearrange the equation to get dy/dx on one side and the rest on the other side:

dy/dx = 1/3(sin x − xy^2)

dy/(sin x - xy^2) = dx/3

Now we can integrate both sides:

∫dy/(sin x - xy^2) = ∫dx/3

To integrate the left side, we can use substitution. Let u = xy^2, then du/dx = y^2 + 2xy(dy/dx). Substituting these expressions into the left side gives:

∫dy/(sin x - xy^2) = ∫du/(sin x - u)

= -1/2∫d(cos x - u/sin x)

= -1/2 ln|sin x - xy^2| + C1

For the right side, we simply integrate with respect to x:

∫dx/3 = x/3 + C2

Putting these together, we get:

-1/2 ln|sin x - xy^2| = x/3 + C

To solve for y, we can exponentiate both sides:

|sin x - xy^2|^-1/2 = e^(2C/3 - x/3)

|sin x - xy^2| = 1/e^(2C/3 - x/3)

Since the absolute value of sin x - xy^2 can be either positive or negative, we need to consider both cases.

Case 1: sin x - xy^2 > 0

In this case, we have:

sin x - xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(sin x - 1/e^(2C/3 - x/3))/x]

Note that the initial condition y(0) = 5 only applies to the positive square root. We can use this condition to solve for C:

y(0) = √(sin 0 - 1/e^(2C/3)) = √(0 - 1/e^(2C/3)) = 5

Squaring both sides and solving for C, we get:

C = 3/2 ln(1/25)

Putting this value of C back into the expression for y, we get:

y = √[(sin x - e^(x/2)/25)/x]

Case 2: sin x - xy^2 < 0

In this case, we have:

- sin x + xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(e^(2C/3 - x/3) - sin x)/x]

Again, using the initial condition y(0) = 5 and solving for C, we get:

C = 3/2 ln(1/25) + 2/3 ln(5)

Putting this value of C back into the expression for y, we get:

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x]

So the general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is:

y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x], if sin x - xy^2 < 0 and y(0) = 5

Note that there is no solution for y when sin x - xy^2 = 0.

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Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

The total number of hours Josh worked during the week is 44.7 hours.

We first need to calculate his regular pay by dividing his weekly gross earnings by his hourly rate:

$487.29 / $10.95 = 44.7 hours

Since the company pays time-and-a-half for any hours worked exceeding 40 in one week, we need to determine if Josh worked more than 40 hours during the week. If he did, we'll calculate his overtime pay by multiplying his regular pay by 1.5.

If Josh worked 44.7 hours, then he worked 44.7 - 40 = 4.7 hours of overtime.

His overtime pay would be 4.7 hours * $10.95 * 1.5 = $81.48

His regular pay would be 40 hours * $10.95 = $438.00

So his total weekly pay would be $438.00 + $81.48 = $519.48

The total number of hours Josh worked during the week is 44.7 hours.

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Answer:

so...

1.    3(x+6) = 24

2.   6(x+3) = 24

a)        3(x+6) = 24 is diego juice question

   6(x+3) = 24 is show question

b)     x in equation 1 is 2 because you work the equation backwards and the opposite way,  24/3 then - 6

x in equation 2 is 1 because you work the equation backwards and the opposite way,  24/6 then - 3

sorry but i do not understand question b and c, hope this helps though

70 different divisions are possible when eight children are divided into two teams each containing 4 children to play a game against each other

so this is what's known as a combination. a combination is a group where the order does not matter. to solve a combination, you use this equation:

n! / (r! *(n-r)!)

n is the total number of objects being sorted (8)

r is the group you need to sort them into (4)

(i know it's 2 groups of 4 but if you solve this for 1 group, the other group is automatically made of the remaining kids)

definition of !:

a number with a ! means 1*2*3...*that number (so that number multiplied by every number smaller than it all the way to one)

so we put 8 and 4 in this equation:

8! / (4! *(8-4)!)

simplify:

8! / *(4! 4!)

multiply out:

(8*7*6*5*4*3*2*1) / (4*3*2*1 * 4*3*2*1)

and put that in your calculator

you will get 70 different divisions are possible

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The explicit rule for the geometric sequence 3, 12, 48,... is:

f(n) = \(3 \times 4^{(n-1)\). B.

The explicit rule for the geometric sequence 3, 12, 48,... need to determine the common ratio, r.

We can do this by dividing any term by the previous term:

r = 12/3

= 48/12

= 4

Now that we know the common ratio can use the formula for the nth term of a geometric sequence:

\(a_n\) = \(a_1 \times r^{(n-1)\)

where:

\(a_n\) is the nth term

\(a_1\) is the first term (3 in this case)

r is the common ratio (4 in this case)

n is the term number

Substituting these values into the formula, we get:

\(a_n\) = \(3 \times 4^{(n-1)\)

So, the explicit rule for the geometric sequence 3, 12, 48,... is:

f(n) = \(3 \times 4^{(n-1)\)

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The answer is (b) 8% and 16 times. To find the equivalent interest rate and the number of times the money will be compounded, we need to use the formula for compound interest:

A = P (1 + r/n)^(nt)
where A is the final amount, P is the principal (initial investment), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time (in years).
In this case, we have P = $500, r = 5% (0.05), n = 4 (compounded quarterly), and t = 4 years. Plugging these values into the formula, we get:
A = 500 (1 + 0.05/4)^(4*4) = $608.81
So after four years, the investment will grow to $608.81.
To find the equivalent interest rate, we can use the formula:
r_eq = (1 + r/n)^n - 1
where r_eq is the equivalent interest rate. Plugging in the values, we get:
r_eq = (1 + 0.05/4)^4 - 1 = 0.0512 = 5.12%
So the equivalent interest rate is 5.12%.
Finally, to find the number of times the money is compounded, we simply need to multiply the number of years by the number of times the interest is compounded per year:
n_compounded = n*t = 4*4 = 16
So the answer is (b) 8% and 16 times.

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Given data:

The first end point of the diameter is (-14, 1).

The second end point of the diameter is (-10, 9)​.

The centre of the circel is,

The diameter of the circle is,

The radius is,

The equation for the circle is,

Thus, the equation for the circle is (x+12)^2 +(y-5)^2 =20.

Zack should use a line with one arrowhead to map an abandoned line of reasoning.

A line with one arrowhead is commonly used in diagrams to represent the direction of a process or flow of information. In the case of mapping an abandoned line of reasoning, the line can be used to show the original train of thought that was pursued but later abandoned.

The arrowhead can indicate the point at which the reasoning was abandoned or diverted. Therefore, using a line with one arrowhead would be the most appropriate shape for Zack to use. The other shapes listed (orange oval, green rectangle, red) do not provide a clear representation of a line of reasoning and would not be suitable for this purpose.

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Answer

Sol: The correct answer is b. three planes that contain point B are ABD, AEF and DHF.

Answer

i'm pretty sure 64 people attended the concert.

Step-by-step explanation:

Tell me if this helped or not.