Goodlife charges its members $30 per month for a gym membership. They currently have 75 clients.
Research has shown that for every $2 increase in their membership price they will lose 3 clients. If they want to maximize their revenue, how much should Goodlife charge per membership? What will their maximized revenue be?

Answer:

8/17

Step-by-step explanation:

Original fraction: x/(2x + 1)

New fraction: (x + 7)/(2x + 8) = 5/8

(x + 7)/(2x + 8) = 5/8

8(x + 7) = 5(2x + 8)

8x + 56 = 10x + 40

-2x = -16

x = 8

Original fraction: x/(2x + 1) = 8/(2 × 8 + 1) = 8/17

The perimeter (P) by multiplying the side length by 4:
P = 4 * (4√2) = 16√2
The answer: b. 16√2

To find the perimeter of a square with a diagonal length of 8 feet, first, you need to determine the side length. In a square, the diagonal length (d) is related to the side length (s) through the Pythagorean theorem as follows:

d = s√2

Now, plug in the given diagonal length (8 feet) and solve for s:

8 = s√2
s = 8/√2
s = 4√2 (simplified by multiplying both numerator and denominator by √2)

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Answer:

(-5,-7)

Step-by-step explanation:

Set functions equal to each other.

2x+3= -4x-27

2x+4x = -3-27

6x=-30

x= -5

f(-5) = 2(-5) +3

f(-5) =-10+3 y= - 7

g(-5) = -4(-5) -27

g(-5) =20-27 y= -7

x=-5 y=-7

(-5,-7)

Answer:

(-5,-7)

Step-by-step explanation:

The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

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Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

Answer:

  y = 30

Step-by-step explanation:

Given y varies directly as x and (x, y) = (2, 10), you want to know y when x = 6.

The direct variation means that when x is multiplied by 3 to get from 2 to 6, the value of y will also be multiplied by 3, giving 3·10 = 30.

y is 30 when x = 6.

__

Additional comment

The constant of variation is y/x = 10/2 = 5. This means the equation for the relation is ...

  y = 5x

When x=6, this is y = 5·6 = 30.

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The value of machine after 2 years is $346.4.3

Subtract the asset's cost from its salvage value (what you anticipate it to be worth at the end of its useful life) to determine depreciation using the straight-line technique. The amount that can be depreciated, or the depreciable basis, is the outcome. Subtract this sum from the asset's useful life, which is measured in years.

Given:

C = $707 (the original cost),

r = 0.3 (the rate of depreciation),

and t = 2 (years that have gone by)

Using the Formula

V = C \((1-r)^t\)

V = (707)(1 - 0.3)²

V = (707)(0.7)²

V = (707)(0.49)

V = 346.43

Thus, the value of machine is $346.43

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Answer:

74

Step-by-step explanation:

did school asignment

The measurement of ∠ B = 74°

Two Angles are Supplementary when they add up to 180 degrees.

Given that ∠ A and ∠ B are Supplementary and ∠ A = (3x−23),

∠ B = (2x−12)

According to definition of Supplementary,

∠ A + ∠ B = 180°

(3x−23) + (2x−12) = 180°

5x - 35 = 180°

5x = 180° + 35

5x = 215°

x = 43°

Putting x = 43° in  ∠ B = (2x−12)

∠ B = (2*43−12)

∠ B = 86 - 12

∠ B = 74°

Hence, The measurement of ∠ B = 74°

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Answer:

2 or 200%

Step-by-step explanation:If the growth rate doubled every week, it would grow by 100% per week. Since the growth rate triples every week, it grows by 200% per week. This is easy to see..... If 1 person is sick at the start.......by the end of the first week, 2 more would be sick. And 2 is 200% of 1. So, 3 people are sick at the end of the first week- triple that of the start. At the end of the second week,  6 more would be sick , and 6 is 200% of 3. So, 9 people total are sick at the end of the second week - triple that of the beginning of the second week

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

have a good day bro

\( \frac{dy}{dx} 2x {e}^{x} = 2x {e }^{x} + 2 {e}^{x} \)

Evaluated at x=0 we get

\(y = 2x \)

The interest earned after 3 months is $75

What is simple interest?

The simple interest on a deposit is the principal deposited multiplied by the interest and the time the deposit lasted

I=PRT

I=interest=unknown

P=principal=$6000

R=interest rate=5%

T= 3 months=0.25 year

I=$6000*5%*0.25

I=$75

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Answer:

75 dollars

Step-by-step explanation:

i got it right

Step-by-step explanation:

this means that these 4 data ranges define 4 graphing charts with the given limits per coordinate axis.

the question is, which charts are large enough to show all data points of the defined process (50 ft uncoiled rope at time 0 is then coiled up 10 ft/sec., with the function graph showing the amount of still uncoiled rope over time in minutes).

the process will take 5 minutes (50 ft with 10 ft/min, so it will be completely coiled after 5 minutes) starting at 0 minutes.

the amount of uncoiled rope will go from 50 ft down to 0 ft.

so,

0 <= x <= 5 and 0 <= y <= 75 yes

0 to 5 minutes 0 to 50 ft all covered

0 <= x <= 10 and 0 <= y <= 50 yes

0 to 5 minutes 0 to 50 ft all covered

0 <= x <= 50 and 0 <= y <= 10 no

0 to 5 minutes covered 0 to 50 ft not covered

0 <= x <= 75 and 0 <= y <= 5 no

0 to 5 minutes covered 0 to 50 ft not covered

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

In order to find the end behavior of a polynomial we simply must observe the higher exponential behavior. Since it is so much higher than the others terms it will indicate the end behavior of the total function.

In the case:

It is enough to analyze the end behavior of 3x³² in order to find the end behavior of the whole polynomial.

When x tends to infinity

x ⇒ ∞

then

3x³² grows and grows (infinitely!)

3x³² ⇒ ∞

When x tends to minus infinity

x ⇒ -∞

x takes negative numbers however x³² is always positive, because it has an even exponent, then

when x ⇒ -∞

then

3x³² grows and grows (infinitely too)

3x³² ⇒ ∞

Answer- as x ⇒ -∞, 3x³² ⇒ ∞ and as x ⇒ ∞, 3x³² ⇒ ∞

The entropy of the outcome of this experiment = 9

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that,

A coin having probability p=2/3

Heads is flipped 6 times

If the coin is flipped 6 times

The Total Number of Trial in the Experiment =2/3

It comes up heads 6 times

This Means: Number of Successful Outcome of HEADS =6

In an experimental probability,

Experimental probability of the coin’s coming up heads

=Number of Successful Outcome of HEADS/Total Number of Trials in the Experiment

= 6/(2/3)

= 6*3/2

= 18/2

= 9

Therefore,

The entropy of the outcome of this experiment = 9

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In algebra, "seven times a number" is written as 7x, which is the multiplication of seven instances of the symbol x.

An equation that includes constants, variables, and a few algebraic operations is said to be algebraic. A good example of an algebraic expression is 3x2 2xy + d. So, three different types of fundamental building blocks make up an algebraic expression: Coefficient (i.e. numbers) (i.e. numbers)

A seven-times-a-number is represented by multiplying it by seven or adding it to another integer (since this is an abbreviated successive addition ).

If x is any number, then it may be written as follows seven times: Algebraic expressions (numbers or letters) are linked by fundamental operations including addition, subtraction, multiplication, and division in mathematical language.

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Complete question -

Seven times a number in algebraic expression

Answer:

I would round 3.45 to 3.50 and estimate 16 to 15 then I would get the product of 52.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Answer:

Step-by-step explanation:

distributive property

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.

The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.

In other words, a set is inductive if it satisfies the following two conditions:

The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.

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Answer:

12.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

System I: This system has one solution. To solve, you would need to first solve for one of the variables, say x. Then, substitute the value of x into the other equation to solve for y.

System II: This system has an infinite number of solutions. To solve, you would need to first solve for one of the variables, say x. Then, substitute the value of x into the other equation to solve for y. Since both equations are linear, they will have an infinite number of solutions.

A triangle is shown with its exterior angles and the interior angles of the triangle are angles 2, 3, 5. The true statements are m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6. The correct answers are B, C, and E.

We know that the sum of the measures of the interior angles of a triangle is always 180 degrees. We can use this fact, along with the properties of exterior angles of a triangle, to determine which statements are always true regarding

m∠5 + m∠3 = m∠4 This statement is not always true. It is only true in this case because angle 4 is an exterior angle at vertex 3, which means that m∠4 = m∠3 + m∠5. Therefore, m∠5 + m∠3 = m∠3 + m∠5, which simplifies to m∠5 = m∠5. However, in general, this statement is not always true.

m∠3 + m∠4 + m∠5 = 180° This statement is always true, because the sum of the measures of the three exterior angles of a triangle is always 360 degrees. Therefore, m∠3 + m∠4 + m∠5 = 360°, which simplifies to m∠3 + m∠4 + m∠5 = 180°.

m∠5 + m∠6 = 180° This statement is always true, because the sum of an exterior angle and its adjacent interior angle is always 180 degrees. Therefore, m∠5 + m∠6 = m∠1 (because angle 1 is an exterior angle at vertex 2), and m∠1 + m∠2 + m∠3 = 180° (because the sum of the measures of the interior angles of a triangle is 180 degrees). Therefore, m∠5 + m∠6 = m∠2 + m∠3, which is equal to 180° (because m∠2 + m∠3 = m∠1, and m∠5 + m∠6 = m∠1).

m∠2 + m∠3 = m∠6 This statement is not always true. It is only true in this case because angle 6 is an exterior angle at vertex 5, which means that m∠6 = m∠5 + m∠3. Therefore, m∠2 + m∠3 = m∠2 + m∠5 + m∠3, which simplifies to m∠2 + m∠3 = m∠5 + m∠3. Then, by subtracting m∠3 from both sides, we get m∠2 = m∠5. However, in general, this statement is not always true.

m∠2 + m∠3 + m∠5 = 180°: This statement is always true, because the sum of the measures of the interior angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

Based on the above analysis, the statements that are always true regarding the diagram are

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 = 180°

m∠2 + m∠3 + m∠5 = 180°

Therefore, the correct options are B, C, and E.

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Answer:

(2/11)^3/(4/22)^6

= (2/11)^3/(2/11) ^6

=1/(2/11)^3

=(11/2)^3