Sarah and Cheyenne both have gym memberships to different gyms. This month, both Sarah and Cheyenne
have paid the same amount of money to their respective gyms. Sarah's gym had a $45 sign up fee and cost
$50 per month. Cheyenne's gym cost $55 a month with no sign up fees. Cheyenne and Sarah have been
members of their gyms for [DROP DOWN 11 months and have each paid [DROP DOWN 2] to their gyms.
Answers
In this case, Sarah has paid a total of $595 for her membership and Cheyenne has paid a total of $605 for her membership. This is because Sarah's gym had a $45 sign up fee and cost $50 per month, while Cheyenne's gym cost $55 a month with no sign up fees.
What is membership?Membership is a type of relationship between a person and an organization or group. It implies that the person has certain responsibilities and privileges as a member of the group. Depending on the organization or group, these responsibilities and privileges might include attending meetings, paying dues or fees, voting privileges, access to services and discounts, or having the right to hold office.
Cheyenne's gym is more expensive due to its lack of a sign up fee and the higher monthly rate of $55. However, Sarah has paid more money overall due to her sign up fee. Even though Cheyenne's gym is more expensive on a month-to-month basis, the sign up fee makes Sarah's total cost higher.
The difference in cost between Sarah and Cheyenne's memberships is not substantial, but it is worth noting that the sign up fee can make a difference in the overall cost of a membership. It is also important to factor in the cost of any additional fees when comparing gym memberships. This can help someone determine which gym membership is a better value for their money.
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Related Questions
for the simple harmonic motion equation d=4sin(8pi), what is the maximum displacement from the equilibrium position?
Answers
The maximum value οf the functiοn is 4.
What is simple harmοnic mοtiοn?Simple Harmοnic Mοtiοn, οr SHM, is a mοtiοn in which the restοring fοrce is inversely prοpοrtiοnal tο the bοdy's displacement frοm its mean pοsitiοn. This restοrative fοrce always pοints in the directiοn οf the mean pοsitiοn. A particle mοving in simple harmοnic mοtiοn accelerates as a(t) = -2 x. (t). The particle's angular velοcity is indicated in this equatiοn by the symbοl.
Given functiοn οf simple harmοnic mοtiοn is d= 4 sin(πt/8)
Nοw we need tο find abοut what is the maximum value οf .
We knοw that value οf sine functiοn varies frοm -1 tο 1.
that means fοr any value οf t, maximum value οf sine functiοn is 1.
sin(πt/8)<1
d≤4
Hence the maximum value οf the functiοn is 4.
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What is the explicit formula for the sequence: .25,5,1,2
Answers
The explicit formula for the geometric sequence is [tex]a_n=25(\frac{1}{5})^{n-1}[/tex].
What is explicit formula for geometric series?
The explicit formula for geometric sequence is [tex]a_n=a_1(r)^{n-1}[/tex] where r is common ratio.
Here the given sequence is 25,5,[tex]\frac{1}{2}[/tex]...
Here first term [tex]a_1=25[/tex]
Common ratio = [tex]$ \frac{a_2}{a_1}=\frac{5}{25}=\frac{1}{5}[/tex]
Now, Explicit formula [tex]$ a_n=a_1(r)^{n-1}[/tex]
=> [tex]$ a_n=25(\frac{1}{5})^{n-1}[/tex]
Hence the explicit formula of geometric series is [tex]$ a_n=25(\frac{1}{5})^{n-1}[/tex].
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2064 0 No. 10 Old if the compound interest on Rs 500 for years is Rs 398 find the compound interest on Rs. 625 15) Ans: Rs. 450 la 15 years at the same rate 5
Answers
Proportionately, if the compound interest on Rs 500 for years is Rs 398, the compound interest on Rs. 625 is Rs. 497.50.
What is proportion?Proportion is a part or portion of the whole.
Proportion indicates the ratio that one quantity or value possess in relation to or when compared or equated to another.
We determine proportion as the quotient of one value divided by another. Proportion can also be expressed as a percentage by multiplying the resultant quotient by 100.
The compound interest on Rs. 500 = Rs. 398
Thus, proportionately, the compound interest on Rs. 625 will be Rs. 497.50 (Rs 398/Rs. 500 x 625).
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(x² + 3x + 2) ÷ (x + 2)
Answers
Answer:
x+1
Step-by-step explanation:
For the first part of the expression, factor into (x+2)(x+1).
(x+2)(x+1)/(x+2)
The x+2 cancels out, so the answer is x+1
If h(x) = √6 +5f(x), where f(2)= 6 and f'(2) = 5, find h'(2).
Tip: 6 + 5f(x) is all under the square root.
Answers
By using the chain rule, we will see that the derivative is:
h'(2) = 5/12
How to find the value of h'(2)?Remember the chain rule, for the derivative of a composition of two functions f(x) and g(x), if we define:
k(x) = g(f(x))
Then:
k'(x) =g'(f(x))*f'(x)
In this case we know that:
h(x) = √(6 + 5*f(x))
We can define then:
g(x) = √(6 + 5x)
and write h(x) = g(f(x))
Now the differentiation will give:
h'(x) = (1/2)*(√(6 + 5f(x))⁻¹*f'(x)
Evaluating this in x = 2 we will get:
h'(2) = (1/2)*(√(6 + 5f(2))⁻¹*f'(2)
And we know that f(2) = 6 and f'(2) = 5
Then:
h'(2) = (1/2)*(√(6 + 5*6))⁻¹*5
h'(2) = (1/2)*(6)⁻¹*5 = 5/12
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Write 4 to the 3ed power using repeated multiplication. Then find the value of 4 to the 3ed power
Answers
Answer:
4x4x4 and the value of 4^3=64
Step-by-step explanation:
4x4x4 is equivalent to 4^3. This is because using exponents mean multiplying the base number by itself by 2 if the exponent is 2, if it was 3 then you would multiply 4 by itself three times.
If she makes her goal pace 80% of the time and plans to run for the next 10 days how likely will she make her goal pace
every day
Answers
If she makes her goal pace 80% of the time and plans to run for the next 10 days, the probability or likelihood that she will make her goal pace every day is 80%.
What is probability?Probability describes the chance, odds, or likelihood of an expected outcome, event, or success occurring when there are many possible outcomes.
Probability is a fractional value that lies between zero and one depending on the degree of certainty or otherwise.
Thus, it is 80% likely that she will make her goal pace every day if she runs for the next 10 days.
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I need help with this immediately
Answers
The digits in the hundreds place is 2.
The digits in the hundredths place is 9.
The digits in the ten thousandths place is 1.
What is a place value?A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsTen thousandthsHundred thousandthsMillionths.UnitTensHundredsThousands.Tens of thousands.Based on the numerical data (number) provided above 248.7961, we can reasonably infer and logically deduce that the place value of one (1) is ten thousandths, nine (9) is hundredths, and two (2) represent hundreds.
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A 6-meter roll of fabric costs $15.29. What is the unit price, rounded to the nearest cent?
Answers
Answer: $2.55
Step-by-step explanation:
Unit price = Total cost ÷ Length of fabric
$15.29 ÷ 6 = 2.54833333
Rounded to the nearest tenth is 2.55
I neeedddd helppppp???
Answers
Answer:
(-2,-4)
Step-by-step explanation:
The solution to a system of equations is the point at which the lines (that are defined by the equations) intersect, or touch each other.
In the graph, we can see that the lines intersect when x = -2 and y = -4.
In the format (x,y), this is expressed as: (-2,-4)
The Ministry of Transport and Mining hired a firm to conduct a traffic study before expanding the city streets. Two companies submitted bids for the job. The ministry hired the second company (company B) because they had more experience and offered a better rate. They studied the movement of the traffic on a specific roadway. The first day of the study was the second Monday in September. They found that 12,665 cars, 23,709 small commercial vehicles, 1,024 medium trucks, 7,096 lange macks, and 660 other vehicles used the roadway during the evaluation period.
0f the vehicles classified as "other vehicles," 213 of them are morcycles How many of the other vehicles were not motorcycles?
Answers
Answer: i got 213
Step-by-step explanation:
The median of the data 10 16 12 15 7 is
Answers
So, for the data set 10, 16, 12, 15, 7, we can arrange the values in order from least to greatest:
7, 10, 12, 15, 16
Since there are an odd number of values, the median is the middle value, which is 12. Therefore, the median of the data 10, 16, 12, 15, 7 is 12.
Simple math
what do i do this is confusing for me
Answers
Answer:
Translate 3 right and 1 up.
Step-by-step explanation:
Looking at the picture and count the movement.
Answer:
Step-by-step explanation:
3 units right.
1 unit up.
Each of the letters is moved by these amounts to create the new image.
Wesley is a member of the
kennel club in his area. His club uses
accordion fencing like the section shown
at the right to block out areas at dog
shows.
a. Identify two pairs of congruent
segments.
b. Identify two pairs of supplementary
angles.
Answers
The two pairs of congruent segments are PS = QR and PQ = SR
The two pairs of supplementary angles are P and Q; and S and R.
What are supplementary angles?Supplementary angles are two angles that add up to 180 degrees. In other words, if angle A and angle B are supplementary angles, then:
A + B = 180 degrees
For example, if angle A is 60 degrees, then its supplementary angle would be angle B, which is 120 degrees, because:
A + B = 60 + 120 = 180 degrees
Supplementary angles are commonly used in geometry and trigonometry to solve problems related to angles and lines. For instance, if two lines intersect, the opposite angles formed are always supplementary.
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Robin earns a 5% Commission on her sales. If robin sold an item for $530, how much did she earn in commission?
Answers
Answer:
26.5$
Step-by-step explanation:
Calculate the 5% of 530, which is 530 * 0.05, whic is equal to 26.5$
Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the demand for brand 1 is
x = 61 − p1
thousand units and the demand for brand 2 is
y = 71 − p2
thousand units, where
p1 and p2
are prices in dollars. If the joint cost function is
C = xy,
in thousands of dollars, how many of each brand should be produced to maximize profit?
brand 1=
Brand 2=
What is max profit?
Answers
To maximize profit, the manufacturer should produce 22 thousand units of each brand, and the maximum profit is:
Profit = (39 × 22) + (49 × 22) - (61 - 39)×(71 - 49) = $256 thousand.
What is profit?Profit is a term used in business and economics to refer to the amount of money or value that is gained after deducting the cost of production or acquisition from the revenue earned.
Mathematically, profit can be calculated as follows:
Profit = Revenue - Cost
To maximize profit, we need to determine the optimal values of P1 and P2. We can do this by setting up the profit function as follows:
Profit = Total Revenue - Total Cost
Profit = (P1 × x) + (P2 × y) - C
Profit = (P1 × (61 - P1)) + (P2 × (71 - P2)) - (61 - P1)×(71 - P2)
Taking the derivative of the profit function with respect to P1 and P2 and setting it equal to zero will give us the optimal values of P1 and P2 that maximize profit:
∂Profit/∂P1 = 61 - 2P1 + P2 = 0
∂Profit/∂P2 = 71 - 2P2 + P1 = 0
Solving these equations simultaneously, we get P1 = 39 and P2 = 49.
To find the quantities of each brand that should be produced, we can substitute P1 and P2 into the demand functions for x and y:
x = 61 - P1 = 22 thousand units of brand 1
y = 71 - P2 = 22 thousand units of brand 2
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Question 8 Find BC Show work
Answers
The value of BC in triangle ABC is 23.
What is triangle?
A closed plane figure with three straight sides and three angles is known as a triangle. It is made by joining three non-collinear points. Triangles are important in geometry and have various types based on their sides and angles, such as equilateral, isosceles, scalene, acute, right, and obtuse triangles.
Given:- triangle ABC and DEF are similar.
So , AC = DF
Therefore,
4x-23 = 2x+2
4x – 2x = 2 + 23
2x = 25
x = 25/2 = 12.5
therefore, AC = 4x – 23
= 4 * 12.5 – 23
= 50 – 23
AC =27
So ,From triangle DEF
EF = 2x-2
= 2*12.5 – 2
= 25 – 2
EF = 23
As triangle ABC and DEF are similar.so,
BC = EF = 23
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There is a mound of g
pounds of gravel in a quarry. Throughout the day, 200
pounds of gravel is added to the mound. Two orders of 700
pounds are sold and the gravel is removed from the mound. At the end of the day, the mound has 1,000
pounds of gravel.
Answers
Answer:
2400
Step-by-step explanation:
before anything got taken away they added 200 wich means before they added that they had 2200 and if 700 pounds were removed twice that would mean the mound lost 1400 pounds and so if you add 1000 to the 1400 that they took you can find the amount that was there before.l
Find the equation of the line that passes through the given points. (Use x as your variable.) (0,5),(6,0)
Answers
Answer:
y = - [tex]\frac{5}{6}[/tex] x + 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 5 ) and (x₂, y₂ ) = (6, 0 )
m = [tex]\frac{0-5}{6-0}[/tex] = [tex]\frac{-5}{6}[/tex] = - [tex]\frac{5}{6}[/tex]
the line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = - [tex]\frac{5}{6}[/tex] x + 5 ← equation of line
Help! Does the rule represent an exponential function?
y = -5x^7
Answers
An exponential function is a function where the independent variable appears in the exponent. The general form of an exponential function is y = ab^x, where a and b are constants.
In the given function y = -5x^7, the independent variable x appears as a power, but it is not in the exponent of a constant base. Therefore, this function does not represent an exponential function.
Instead, the given function is a polynomial function of degree 7, where the highest power of the independent variable x is 7.
[tex]2^{2} . 2^{3}[/tex]
Answers
Answer:
32
Step-by-step explanation:
add the exponents
2 + 3 = 5
2⁵ = 32
What is the surface area of the rectangular prism formed by the pattern below?
Answers -
56 cm
108
136
162
Answers
Answer:
C. 136
Step-by-step explanation:
Add up the surface areas of each individual section. Area is length times width.
Lets start by figuring out the area of the 2 by 6 rectangle on the bottom. 2cm*6cm=12 sq cm. The rectangle on the top right also has an area of 2cm*6cm. So it also has an area of 12 sq cm. lets figure out the area of the smaller rectangle on the right side. 7cm times 2 cm equals 14 cm squared. There is also a 7cm by 2cm box in the middle of the pattern. so 14 + 14 = 28, + 12 + 12= 52. so all of the tiny rectangles added up equal 52. Finally, lets figure out the area of the two 6*7 rectangles. 6*7= 42. 42*2= 84. 84 is the area of the two big rectangles added together. So add the two totals to get 52 sq cm+ 84 sq. cm = 136 sq. cm.
what's the value of z ?
[tex] \sqrt{z + y} = - 369[/tex]
when y = 65
Answers
Answer:
There is no solution
Step-by-step explanation:
Watch help video
Graph the line that passes through the points (-6, -8) and (3,-2) and determine
the equation of the line.
Answers
Answer : y=2/3x-4
What are the key features of the equation y = (x + 12)(x + 6)? Question 5 options: The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 72). The vertex is an absolute maximum, (–9, –9). The x-intercepts are (12, 0) and (6, 0). The y-intercept is (0, 72). The vertex is an absolute minimum, (–9, –9). The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 6). The vertex is an absolute minimum, (–9, –9). The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 72). The vertex is an absolute minimum, (–9, –9).
Answers
Answer:
y= -x+3
Step-by-step explanation:
We can see that our given equation is in slope-intercept form
, where m represents slope of line and b represents the y-intercept.
Upon looking at our given equation, we can see that the slope of our given line is 1
and the y-intercept is at point
.0,3
Upon graphing our given equation, we will get our required graph as shown below:
Consider the following function.
p(x)=1−12x
Plot two points on the line to graph the function.
Answers
We can plοt the pοints (0,1) and (1,-11) οn the line tο graph the functiοn p(x) = 1 - 12x.
What is functiοn?A functiοn frοm a set X tο a set Y is an assignment οf an element οf Y tο each element οf X. The set X is called the dοmain οf the functiοn and the set Y is called the cοdοmain οf the functiοn.
A functiοn, its dοmain, and its cοdοmain, are declared by the nοtatiοn f: X→Y, and the value οf a functiοn f at an element x οf X, denοted by f(x), is called the image οf x under f, οr the value οf f applied tο the argument x.
Functiοns are alsο called maps οr mappings, thοugh sοme authοrs make sοme distinctiοn between "maps" and "functiοns" (see § Other terms).
Tο plοt twο pοints οn the line fοr the functiοn p(x) = 1 - 12x, we can chοοse any twο values οf x and find the cοrrespοnding values οf p(x).
Fοr example, if we chοοse x = 0, then p(0) = 1 - 12(0) = 1, sο the pοint (0,1) is οn the line.
If we chοοse x = 1, then p(1) = 1 - 12(1) = -11, sο the pοint (1,-11) is οn the line.
Therefοre, we can plοt the pοints (0,1) and (1,-11) οn the line tο graph the functiοn p(x) = 1 - 12x.
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In a high-quality coaxial cable, the power drops by a factor of 10 approximately every 2.75 km. If the original signal power is 0.375 W (= 3.75 × 10-1 W), how far will a signal be transmitted before the power is attenuated to 37.5 μW?
Answers
Every [tex]2.75[/tex] kilometres in an elevated coaxial cable, the energy decreases by a factor of 10. This indicates that the transmit strength drops with one (0.1) of its original value after every [tex]2.75[/tex] kilometres.
Let's write "d" to represent the signal's maximum range before it loses strength and dips to [tex]37.5 W[/tex]. The following formula can be used to determine the distance [tex]d: P(d) = P(0) / 10^(d / L)[/tex]
[tex]P(d)[/tex] is the signal's power after travelling a distance of d,[tex]P(0)[/tex] is the signal's initial strength,[tex]L[/tex] is indeed the attenuation length in this instance ([tex]2.75 km[/tex]), and "([tex]37.5 W[/tex])" stands for "to the power of d/L".
Inputting the values provided yields: [tex]37.5 μW = 0.375 W / 10^(d / 2.75 km)[/tex]0 The result of dividing both sides with [tex]0.375 W is: .0 /001 = 1 10^(d / 2.75 km)[/tex]The result is: when we take the logarithmic (based 10) of both sides. [tex]-4 = -(d / 2.75 km)[/tex]By dividing all sides by [tex]2.75[/tex] kilometres, we arrive at:[tex]11 km = d[/tex]
As a result, the signal may travel 11 kilometres before losing power and becoming weaker [tex](37.5W) .[/tex]
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STATISTICS MATH. SOMEONE PLEASE HELP WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER. IMAGE ABOVE
Answers
Answer:
u rock tgu hjgr yyihh yihgg
If (-2,8) and (1,-10) are two anchor points on a trend line, then find the equation of the line
Answers
Answer:
The equation would be y = 3x - 7
Step-by-step explanation:
The equation of the trend line given the two coordinates is: y = -6x - 4
How to find the equation of a line?
The formula to find the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
The formula to find the equation of a line between two coordinates is:
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
From the given two coordinates, we can say that:
(y - 8)/(x + 2) = (-10 - 8)/(1 + 2)
(y - 8)/(x + 2) = -6
y - 8 = -6x - 12
y = -6x - 4
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the figure below is dilated by a factor of 4 centered at the orgin. plot the resulting image
(where are the points pls im so confused)
Answers
The image that results from the dilation transformation is as shown in the attached file with coordinates as:
G'(0, -8)
H'(8, 0)
I'(-8, 4)
What is the coordinate of the triangle after dilation?A dilation is defined as a transformation that produces an image that is the same shape as the original, but is a different size.
The coordinates of the given triangle are:
G(0, -2)
H(2, 0)
I(-2, 1)
Now, when an object with coordinates is dilated by a factor about the origin, what we will do is to multiply each coordinate by that factor . The factor of dilation is 4 and as such we have:
G(0, -2) * 4 = G'(0, -8)
H(2, 0) * 4 = H'(8, 0)
I(-2, 1) * 4 = I'(-8, 4)
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