Hayley is considering two gym membership plans. The plans are detailed here.

Plan 1: $50 for a monthly pass and a $3 fee for each gym visit

Plan 2: $10 for each gym visit

What is a system of equations that represents the costs of the plans?

Express your equations in the form y=mx+b where x is the number of gym visits per month and y is the total cost per month.

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Answer:

Step-by-step explanation:

4+6+7+7+11+12+15+18+20= 100

divide by the number of values we have. we have 9 values

100/9=11.1111111111

I hope this helped

at first add all the number and divide it by how many numbers are there

4+6+7+7+11+12+15+18+20

= 100

now

divide

100÷ 9

11.1

To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.

The given function is\(Q = (X*2) + (Y/2) + Z\)

Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3

From the truth table above, we can see that the sum of Q for all eight input combinations is 12.

To find the carry, we will need to determine the maximum output value for the given function.

We can observe that the highest output value is 3.5.

Therefore, there is no carry for this function since the highest output value is less than four.

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All the values are,

a)  lim x → 3 [ 2 f (x) - g (x)] = 18

b)  lim x → 3 [ 2 g (x) ]² = 16

c)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ] = - 1

We have to given that;

Limits are,

lim x → 3 f (x) = 8

lim x → 3 g (x) = - 2

lim x → 3 h (x) = 0

Now, We can simplify all the limits as;

1) lim x → 3 [ 2 f (x) - g (x)]

⇒  lim x → 3 [ 2 f (x)] -  lim x → 3 [ g (x) ]

⇒ 2  lim x → 3 [  f (x) ] - (- 2)

⇒ 2 × 8 + 2

⇒ 16 + 2

⇒ 18

2)  lim x → 3 [ 2 g (x) ]²

⇒ 4 [ lim x → 3  g (x) ]²

⇒ 4 × (- 2)²

⇒ 4 × 4

⇒ 16

3)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ]

⇒ ∛8 / (- 2) + 4 × 0 / (3 + 7)

⇒ - 2/2 + 0

⇒ - 1

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\( \mathrm{\bold{\purple{AN}\pink{SW}\blue{ER}}}\)

option B.

(x+ 2)(x - 2)

\( \mathrm{\bold {\gray{ \widetilde{ {\purple{Detailed\: \: }\pink{Explan}\blue{ation}}}}}}\)

we can expand any polynomial of the form

\( \purple{ \mathfrak{ {a}^{2} - {b}^{2} } } \) into \( \boxed{ \blue{ \mathfrak{ (a + b)(a - b) } }} \)

therefore,

we got x² - 4 equal to (x + 2)(x - 2)

Therefore , the solution of the given problem of inequality comes out to be the solutions x = -6 or x = -10 would be acceptable.

Algebra, which lacking a symbol for this difference, can represent it using a pair or group of numbers. Equity usually comes after equilibrium. Inequality is bred by the persistent gap of standards. Equality and disparity are not the same thing. As was my least preferred symbol, notwithstanding knowing that the pieces are often not connected or close to one another. (). No matter how small the variations, they all affect value.

Here,

Finding values of x that cause the left side of the inequality to be bigger than the right side is necessary to make the inequality -2x > 10 true. Divide both sides by -2 and invert the inequality sign to achieve this:

=> -2x > 10

=> x < -5

The inequality is therefore true for any value of x that is less than -5. For instance, the solutions x = -6 or x = -10 would be acceptable.

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work: if I were to use a graph you can use a graphing calculator or the graph its self and find the coordinets.

C this the correct answer I believe

Answer:

he led the constitutional convention because he was respected throughout the nation

Step-by-step explanation:

The best states George Washington’s connection to the 1787 Constitutional Convention is: He led the Constitutional Convention because he was respected throughout the nation.

The Philadelphia Convention is also known as the Constitutional Convention took place between May 14 and September 17, 1787, to resolve the problems of the United States government.  

The delegate elected to George Washington to led the convention, the presence of Washington a national hero respected by all helped to legitimize the convention. This result of the Convention was the Constitution of the United States of America.

The best states George Washington’s connection to the 1787 Constitutional Convention is: He led the Constitutional Convention because he was respected throughout the nation.

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a) The shape of this graph would be a symmetric, bell-shaped curve. b) The picture of the sampling distribution would be a normal curve centered at $88,000, with a smaller spread compared to the population distribution.

a) A picture of the population of lawyer incomes would be a graph that represents a normal distribution with a mean of $88,000 and a standard deviation of $60,000. In a normal distribution, the majority of incomes would be clustered around the mean, and the frequency of incomes would decrease as you move farther away from the mean in both directions. The shape of this graph would be a symmetric, bell-shaped curve.

b) The sampling distribution represents the distribution of sample means obtained from multiple samples of size n (in this case, n = 36). According to the Central Limit Theorem, as the sample size increases, the sampling distribution becomes approximately normally distributed, regardless of the shape of the original population. The mean of the sampling distribution would be equal to the population mean, which is $88,000. However, the standard deviation of the sampling distribution (also known as the standard error) would be smaller than the population standard deviation, as it is calculated by dividing the population standard deviation by the square root of the sample size: $60,000 / √36 = $10,000. So, the picture of the sampling distribution would be a normal curve centered at $88,000, with a smaller spread compared to the population distribution.

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Answer:

O hrs and 30 minutes is the answer

Step-by-step explanation:

want proof?

Answer:

  about 0.04878 hours ≈ 2 minutes 56 seconds

Step-by-step explanation:

You want the time until a whale-watching boat and a whale meet if the boat is traveling south at 83 km/h and the whale is traveling north at 40 km/h when they start 6 km apart.

The speed at which the gap between the boat and the whale is closed is the sum of their respective speeds:

  closing speed = 83 km/h + 40 km/h = 123 km/h

The time it takes to close the 6 km gap is ...

  time = distance/speed

  time = (6 km)/(123 km/h) ≈ 0.04878 h

Converted to minutes and seconds, that is about ...

  0.04878 h ≈ 2 minutes 55.6 seconds

It will be about 2 minutes 56 seconds before the boat and whale meet.

__

Additional comment

NOAA recommends a distance of at least 100 yards be maintained between a boat and a whale. In some areas, the recommended distance is 400 yards when approaching head-on. The recommended boat speed is 15 knots or less, about 28 km/h.

The definition of percent helps you write fraction and decimal equivalents by understanding that "per cent" means "per hundred".

For example, if you are asked to write the fraction and decimal equivalent of 25%, you would divide 25 by 100 to get the fractional equivalent of ¼, and divide 25 by 100 to get the decimal equivalent of 0.25.

The decimal equivalent of a fraction or percentage is the numerical value expressed in decimal form. For example, the decimal equivalent of 1/2 is 0.5 and the decimal equivalent of 25% is 0.25. Decimal equivalents are useful for calculations and can be used to convert fractions and percentages into decimal form.

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area= b*h              

82.* 16.6

area= 1361.2     since i dont know the number after the decimal in 82. that was the only answer i could give

Given:

Find-: what does point (10,67873) represent.

Sol:

Where,

At point.

Point (10, 67873) represents after the 10-year value of the random tractor is 67873.

Check value for x = 10 year.

If the Learning curve rate is 85%, then the painter will need 35.5 hours to pant all 20 rooms.

Learning curve rate tells us that there will be improvement or the time for the task will decrease as the person learn the repetitive task.

The time for completing n units is given by the formula:

Tₙ = T₁ . nᵇ

Where:

T₁  = time to complete 1st task

n = number of units

b = ln (learning curve rate) / ln(2)

The given parameters:

T₃  = 9 hours

learning curve rate = 85%

Hence,

b = ln (0.85) / ln(2) = 0.693

Plug the values into the formula for n = 3

T₃ = T₁ . 3ᵇ

T₁  = T₃ / 3ᵇ = 9 / 3ᵇ

Substitute the parameters for n = 20.

T₂₉ = T₁ . 20ᵇ

      = (9 / 3ᵇ) . 20ᵇ

       = 9 . (20/3)ᵇ

Substitute b = 0.693

T₂₉ = 35.5 hours

Hence, it takes 35.5 hours for the painter to pant all 20 rooms.

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Answer:

1.08 • 10⁴ = 10,800

Step-by-step explanation:

Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

Answer:

Should I tell my parents I'm adopted? lol

Step-by-step explanation:

Answer:

When did you die?

Step-by-step explanation:

The angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\),\) which is approximately 1.107 radians or 63.43 degrees.

To determine the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\),\) we can follow these steps:

1. Express \(\(z_0\)\) in polar form: To find the polar form of \(\(z_0\)\), we need to calculate its magnitude \((\(r_0\))\) and argument \((\(\theta_0\))\). The magnitude can be obtained using the formula \(\(r_0 = |z_0| = \sqrt{\text{Re}(z_0)^2 + \text{Im}(z_0)^2}\)\):

\(\[r_0 = |2i + 1| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}\]\)

  The argument \(\(\theta_0\)\) can be found using the formula \(\(\theta_0 = \text{arg}(z_0) = \arctan\left(\frac{\text{Im}(z_0)}{\text{Re}(z_0)}\right)\)\):

\(\[\theta_0 = \text{arg}(2i + 1) = \arctan\left(\frac{2}{1}\right) = \arctan(2)\]\)

2. Find the polar form of \(\(w\)\): The polar form of \(w\) can be expressed as \(\(w = |w|e^{i\theta}\)\), where \(\(|w|\)\) is the magnitude of \(\(|w|\)\) and \(\(\theta\)\) is its argument. Since \((w = z^2\)\), we can substitute z with \(\(z_0\)\) and calculate the polar form of \(\(w_0\)\)using the values we obtained earlier for \(\(z_0\)\):

 \(\[w_0 = |z_0|^2e^{2i\theta_0} = \sqrt{5}^2e^{2i\arctan(2)} = 5e^{2i\arctan(2)}\]\)

3. Determine the argument of \(\(w_0\):\) To find the argument \(\(\theta_w\)\) of \(\(w_0\)\), we can simply multiply the exponent of \(e\) by 2:

  \(\[\theta_w = 2\theta_0 = 2\arctan(2)\]\)= 1.107 radians

Therefore, the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\).\)

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The complete question is:

"Determine the angle of rotation, in radians and degrees, at the point z0 = 2i + 1 when w = z^2."

Answer:

9 marbles

Step-by-step explanation:

He got 47 marbles, after keeping 2 of his marbles, he got 47-2 = 45 marbles left

To divide equally between his 5 friends, each of his friend should get 45 :5 = 9 marbles each

Enjoy your prize :D

Answer:

Step-by-step explanation:

Initial value of house:

Yearly increase rate of value:

Time

Since the increase is concerning the current price it would be exponential growth.

The function would be:

For t= 13 we get:

Profit made would be:

Correct option is D.

Answer:

Cost of Tammy's house =$184000

Rate of interest = 3.5% per annum

After 13years price will be

\(P(t) = 184000 {(1 + \frac{3.5}{100}) }^{t} \\ P(t) = 184000 {(1 + 0.035)}^{t} \\ P(13) = 18400 {(1.035)}^{13} \\ P(13) =\$ 287768\)

Total profit= $(287767-184000)= $103768

please see photo attached

Answer:

20

Step-by-step explanation:

Make 12 into a fraction : 12/1

Then , using division with fractions , flip the 3/5 and multiply 12/1 and 5/3 .

The equation will look like this :

12/1 x 5/3

So 12 x 5 = 60 and 1 x 3 = 3 , making the fraction 60/3

That then simplifies to 20

:)

Answer:

0.25

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

To solve this expression, we need to remember that division should be done before multiplication or addition/subtraction.

So we first simplify the expression by dividing 1/2 by 6:

1/2 ÷ 6 = 1/2 × 1/6

Next, we multiply the two fractions by multiplying their numerators and denominators:

1/2 × 1/6 = (1 × 1)/(2 × 6) = 1/12

Therefore, the value of the expression 1/2 ÷ 6 is equal to 1/12.

The y-intercept of a line in the xy-plane is (0,1) as shown in attached graph given int the question.

To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis. This means that the y-intercept is the value of y when x is equal to zero. Therefore, we can read off the y-intercept directly from the equation of the line. To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis.

In the given graph we can see that the line intersects the point 1 on y axis.

Therefore, y-intercept of a line in the xy-plane is (0,1).

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We can find the average rate of change of change using the following expression:

for the period betwen 1999 and 2002, we have the following:

therefore, the average rate of change of population between 1999 and 2000 is 49.

Next, we do the same for the period between 2001 to 2005:

thus, the average rate of change of population between 2001 and 2005 is 197.5

Finally, notice that the population increased from 1997 to 2001, while it decreased from 2002, to 2006

Answer:

a= 4,3

b=1,2

c=-3,4

d=-1,2

e= -2,-1

f= -4,-3

g=1,-2

h=4,-1

k=-3,0

Answer:

24.59 m/s

Step-by-step explanation:

Average speed(m/s) = distance travelled(m) / time taken(s)

Distance = 220 miles

220 miles = 354,056 meters

Time taken = 4 hours

4 hours = 14,400 seconds

Average speed = distance travelled / time taken

= 354,056 / 14,400

= 24.59 meter/seconds

= 24.59 m/s

Answer: B. θ = 36°

Step-by-step explanation:

Concept:

Here, we need to know the idea of the Law of sines.

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle (any shape) to the sines of its angles.

The Law of sines: a / sinA = b / sinB = c / sinC

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

a = 10 m

c = 11.2 m

C = 41°

Given formula

a / sinA = c / sinC

Substitute the value into the formula

10 / sinA = 11.1 / sin (41)

Cross-multiply to simplify the equation

sinA × 11.1 = 10 · sin (41)

Divide 11.1 on both sides

sinA × 11.1 / 11.1 = 10 · sin (41) / 11.1

sinA = 10 · sin (41) / 11.1

Apply arcsine or the inverse of sine (basically representing the division of sine)

A = sin⁻¹ (10 · sin (41) / 11.1)

A = 36°

Hope this helps!! :)

Please let me know if you have any questions