A website received 2500 registered members in July. And the number of registered members in August decreased to 2245. What was the percentage decrease in the number of registered members?

Answer:

See Explanation

Step-by-step explanation:

\(x+y=40\\2.25x+1.75y=83.5\\\)

from the first you have

\(h=40-p\) substitute into the second:

\(2.25(40-p)+ 1.75x= 83.5\\90-2.25y+1.75x= 83.5\)remaining

\(0.5y=6.5\\p= \frac{6.5}{0.5} =13\\\)

substitute back into \(h= 40 - y\\h = 40 - 13 = 27\)

Hope this helped :)

Answer:

Step-by-step explanation:

d.) y=-x+2 and y=x+17

I graphed these system of equations on Desmos and the first 3 showed that the lines are parallel meaning they will never touch meaning that they won't have a solution or that they won't intercept. And for the last one, when I entered the equations it showed the interception, which is (-7.5, 9.5)

(Hopefully this is right)

Answer:

70

Step-by-step explanation:

since you are solving for the middle angle, you solve for the average for both angles on the side

(112+28)/2=70

x=70

Hope that helps :)

Answer:

it's base times height or it can be the width of the shape

Answer: I see 26 Squares

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Answer:

B

this is because the way the other 3 are set up it just makes it b

Answer:

x=18

Step-by-step explanation:

We'll assume that the shorter sides are AB and CD. Then 7x-6=5x+30. You add 6 to both sides. 7x=5x+36. Isolate x. 2x=36. Divide, and x=18.

Step-by-step explanation:

Let each side of square be x

So, x+x+x+x = 12.32

4x = 12.32

x = 12.32/4

x = 3.02 cm

The cost for a group of 3 that include 2 children is $100.99.

Let a be the cost of an adult admission and c be the cost of a child admission.

From the first statement, we can set up the equation:

3c + 2a = 176.98

From the second statement, we can set up the equation:

2c + 4a = 245.96

Simplifying the second equation by dividing both sides by 2, we get:

c + 2a = 122.98

Now we have a system of two equations with two unknowns:

3c + 2a = 176.98

c + 2a = 122.98

Solving for c in the second equation:

c = 122.98 - 2a

Substituting this value of c into the first equation:

3(122.98 - 2a) + 2a = 176.98

Simplifying and solving for a:

368.94 - 6a + 2a = 176.98

-4a = -191.96

a = 47.99

Substituting this value of a back into the equation we found for c:

c = 122.98 - 2(47.99) = 26

So the cost for an adult admission is $47.99 and the cost for a child admission is $26.

To find the cost for a group of 3 that include 2 children, we can set up the equation:

2c + a = ?

Substituting the values we found:

2(26) + 47.99 = 100.99

So the cost for a group of 3 that include 2 children is $100.99.

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Answer:

Yes, it is...

Step-by-step explanation:

x^2 + y^2 = 100

---This is an equation for a circle.

A circle does not pass the vertical line test, so it is not a function.

Answer: NOT a function

Hope this helps!

Answer:

The part of the expression that represents the number of quarters is;

D. 25·(3·x + 1)

Step-by-step explanation:

From the question, we have;

The values of the coins Luis has = Nickels, Dimes and quarters

The expression that represents the value of all the coins in cents is given as follows;

5(x + 2) + 10·1 + 25·(3·x + 1)

The value of a nickel = 5 cents

The value of a dime = 10 cents

The value of a quarter = 25 cents

Therefore, the part of the expression representing the number of quarters Luis has, has 25 as a factor

Therefore, the part of the expression that represents the number of quarters = 25·(3·x + 1).

Answer:

y=3

Step-by-step explanation:

Basically you have to multiply 8 times y which is 8y. And you have to multiply 6 times 4 which is 24. 8y=24 y=3

For the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

To find the ratio of the average flux for e > 45 degrees to the omnidirectional flux in a pancake distribution of sin(a) where a = 0, we need to calculate the directional flux, omnidirectional flux, directional solid angle, and omnidirectional solid angle.

Directional Flux:

The directional flux is the flux within a specific direction or range of angles. In this case, we are interested in e > 45 degrees.

Omnidirectional Flux:

The omnidirectional flux is the total flux in all directions or over the entire solid angle.

Directional Solid Angle:

The directional solid angle is the solid angle subtended by the specified direction or range of angles. In this case, it would be the solid angle corresponding to e > 45 degrees.

Omnidirectional Solid Angle:

The omnidirectional solid angle is the total solid angle subtended by all possible directions or over the entire sphere.

To find the flux per solid angle for both the directional and omnidirectional cases, we can use the formula:

Flux per Solid Angle = Total Flux / Solid Angle

Finally, to find the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

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Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

Hi, there.

  ____

Coefficients: numbers multiplied by variables

Like Terms: terms with the same variables/exponents

Constant Terms: numbers

Thus

\(\Large\boldsymbol{3z-5z+4y+15}\) is your desired expression

Hope the answer - and explanation - made sense,

happy studying.

The algebraic expression with three coefficients, two like terms and one constant term is 3x + 8x + 16 and the simplified form is 11x + 16.

It is required to write an algebraic expression which includes three coefficients, two like terms and one constant term.

Let the variable in the expression be x.

Then, since two terms must be like terms, two terms must be a term with coefficients of x.

And the third term must be a constant term.

Then, the expression can be written in the form:

ax + bx + c

Let a = 3, b = 8 and c = 16

Then, the algebraic expression is:

3x + 8x + 16

⇒ (3 + 8)x + 16

⇒ 11x + 16

Hence, the expression is 3x + 8x + 16 and the simplified form is 11x + 16.

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Answer:

Step-by-step explanation:

25.12 inches around means diameter. So radius = 12.56 inches

   volume  \(= \pi r^2 \times h =\pi \times 12.56^2 \times 66 = 32709.44 \ in^3\)

Answer:

The volume of the drained pipe is 32692.11 in ³.

Step-by-step explanation:

Diameter of drainage pipe = 25.12 in

So, radius , r = 25.12 in = 12.56 in

Height of drainage pipe, h = 66 in.

Volume of the drainage pipe

We know that,

Volume of cylinder = π × r ² × h

substitute the values

Volume of pipe = 3.14 × (12.56 in)² × 66 in

simplify

Volume of pipe =3.14 ×157.7536 in² × 66in

multiplying ✖ the values

Volume of the pipe = 32,692.11 in ³

Therefore, the volume of the drained pipe is 32692.11 in ³.

Answer:

She can only buy 12 centerpieces.

Step-by-step explanation:

To solve this question, we must first create an expression. We know that the total would be $1000. The delivery is included in that budget and it is a constant. EACH centerpiece is $80. From that information, you can build an expression.

80c + 35 = 1000

-------------------------------------

Next, you will need to solve for c, or any variable you choose. If you solve it, you will be left with:

c= 12.06

--------------------------------------

Since you cannot buy a fraction of a centerpiece, this concludes that the answer would be 12.

Good Luck!!

Brainliest?

Answer:

sorry there's no explanation IN this question

Answer:

Inconclusive.

Step-by-step explanation:

This equation is not understandable due to the lack of clarity, thank you.

If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

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The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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The probability comes out to be 0.2296

We need to calculate the probability of each jet waiting at least 10 minutes before takeoff.

P(X≥10)=?

Let Z be the standard normal variable.

Z=(X-μ)/σ

Where μ is the mean of the taxi and take-off time for commercial jets and σ is the standard deviation of the taxi and takeoff time for commercial jets.

Z=(X-8.3)/2.3

Using the z-score formula, Z=(X-μ)/σ, we can standardize the value of the variable X to get its respective z-score value, z.

With a mean of 8.3 and a standard deviation of 2.3, the standardized score for a taxi and takeoff time of 10 is:

z=(10-8.3)/2.3 = 0.73913

The probability of a jet waiting at least 10 minutes before takeoff can be calculated as follows:

P(X≥10) = P(Z≥0.73913)

The probability of a standard normal random variable z is greater than or equal to 0.73913 is:

1 - Φ(0.73913)

where Φ(z) is the standard normal distribution function.

Using a standard normal distribution table or calculator, we find that:

Φ(0.73913) = 0.7704

Therefore: P(X≥10) = P(Z≥0.73913)= 1 - Φ(0.73913)= 1 - 0.7704= 0.2296

Thus, the probability of each jet waiting at least 10 minutes before takeoff is 0.2296.

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The value of \(c\) such that the line \(y = 2\cdot x + 3\) is tangent to the parabola \(y = c\cdot x^{2}\) is \(-\frac{1}{3}\).

If \(y = 2\cdot x + 3\) is a line tangent to the parabola \(y = c\cdot x^{2}\), then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:

\(2\cdot c \cdot x = 2\) (1)

Then, we have the following system of equations:

\(y = 2\cdot x + 3\) (1)

\(y = c\cdot x^{2}\) (2)

\(c\cdot x = 1\) (3)

Whose solution is shown below:

By (3):

\(c =\frac{1}{x}\)

(3) in (2):

\(y = x\) (4)

(4) in (1):

\(y = -3\)

\(x = -3\)

\(c = -\frac{1}{3}\)

The value of \(c\) such that the line \(y = 2\cdot x + 3\) is tangent to the parabola \(y = c\cdot x^{2}\) is \(-\frac{1}{3}\).

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The point which is opposite to the number n = -2 is D

A line plot is a graph that shows data as points or check marks above a number line, indicating the frequency of each value.

If we need to compare two different groups , a line chart does have one advantage for visualizing frequency distributions

It displays information as a series of data points called 'markers' connected by straight line segments

Given data ,

Let the point on the line be n

Now , the value of n = -2

And , the opposite value of n is given by the number multiplied by -1

So , the opposite value of n = ( -2 ) x -1

The value of D = 2

So , the point on the line is D = 2

Hence , the opposite number is D = 2

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Answer:

Step-by-step explanation:

Answer:

Difference= $11,280

Step-by-step explanation:

Giving the following information:

Manager at Shop & Save Grocers= Hourly wages $16.50 per hour  

Assistant Manager at Unbelievable Toys= Monthly wages $3,800

Cashier at 7-12 Convenience Store= Yearly wages $43,000

First, we need to calculate the yearly wages, and then compare the results:

Shop & Save Grocers= (16.5*40)*52= $34,320

Unbelievable Toys= 3,800*12= $45,600

The highest paying job is at Unbelievable Toys.

Difference= 45,600 - 34,320= $11,280

Answer:9

Step-by-step explanation: The answer is nine because three times nine equals twenty-seven

The instantaneous rate of change of H(t) at t = 6 is 110e. For g'(4), a) g(x) = √f(x) has a derivative of (1/2√3) * (-5). For f'(2), a) f(x) = x² - 4g(x) has a derivative of 2(2) - 4(-4), and b) f(x) = g(x) has a derivative of -4. For c) f(x) = xsin(g(x)), the derivative is sin(3) + 2cos(3)(-4), and for d) f(x) = xln(g(x)), the derivative is ln(3) + 2*(1/3)*(-4).

The instantaneous rate of change of the function H(t) = 80 + 110e when t = 6 can be found by evaluating the derivative of H(t) at t = 6. The derivative of H(t) with respect to t is simply the derivative of the term 110e, which is 110e. Therefore, the instantaneous rate of change of H(t) at t = 6 is 110e.

Given that f(4) = 3 and f'(4) = -5, we need to find g'(4) for:

a) g(x) = √f(x)

Using the chain rule, the derivative of g(x) is given by g'(x) = (1/2√f(x)) * f'(x). Substituting x = 4, f(4) = 3, and f'(4) = -5, we can evaluate g'(4) = (1/2√3) * (-5).

If g(2) = 3 and g'(2) = -4, we need to find f'(2) for the following:

a) f(x) = x² - 4g(x)

To find f'(2), we can apply the sum rule and the chain rule. The derivative of f(x) is given by f'(x) = 2x - 4g'(x). Substituting x = 2, g(2) = 3, and g'(2) = -4, we can calculate f'(2) = 2(2) - 4(-4).

b) f(x) = g(x)

Since f(x) is defined as g(x), the derivative of f(x) is the same as the derivative of g(x), which is g'(2) = -4.

c) f(x) = xsin(g(x))

By applying the product rule and the chain rule, the derivative of f(x) is given by f'(x) = sin(g(x)) + xcos(g(x))g'(x). Substituting x = 2, g(2) = 3, and g'(2) = -4, we can calculate f'(2) = sin(3) + 2cos(3)*(-4).

d) f(x) = xln(g(x))

By applying the product rule and the chain rule, the derivative of f(x) is given by f'(x) = ln(g(x)) + x(1/g(x))g'(x). Substituting x = 2, g(2) = 3, and g'(2) = -4, we can calculate f'(2) = ln(3) + 2(1/3)*(-4).

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Step-by-step explanation:

If they are similar, then 10 is to 3      as  x is to 15

10/3 = x/15    multiply both sides by 15

 50 mm = x

The slope of the function f(x) = -3x^2 +11 at any value of x is given by 6x.

The definition of derivative is given by the limit as h approaches 0 of [f(a+h) - f(a)] / h,

where f(x) is a function and a is a fixed value of x.

To find the slope of the function\(f(x) = -3x^2 +11\)  at any value of x, we need to use this definition of derivative.
So, let's plug in f(x) = -3x^2 +11 and a = x into the formula.

This gives us:
lim as h approaches 0 of \([-3(x+h)^2 + 11 - (-3x^2 + 11)] / h\)
Simplifying this expression, we get:
lim as h approaches 0 of \([-3x^2 - 6hx - 3h^2 + 11 + 3x^2 - 11] / h\)
Combining like terms, we get:
lim as h approaches 0 of \([-6hx - 3h^2] / h]\)
Factoring out an h from the numerator, we get:
lim as h approaches 0 of [-h(6x + 3h)] / h
Canceling out the h in the numerator and denominator, we get:
lim as h approaches 0 of 6x + 3h
Now, we can plug in h = 0 to find the slope of the function at any value of x:
6x + 3(0) = 6x.

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Answer: x=10

Step-by-step explanation:

Let x = the number

Solve:

x + (-6) = 4

Subtract -6 on both sides ( or as add 6 on both sides)

x + (-6) - (-6) = 4 - (-6)

Answer: x=10

Step-by-step explanation:

Let x = the number

Solve:

p + (-6) = 4

p + (-6) - (-6) = 4 - (-6)