one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same?
Answers
Answer:
3 months
Step-by-step explanation:
Related Questions
Solve
P =
Check
P-2w
2
= 1 for P.
Answers
Answer:
P= 2l + 2W
Step-by-step explanation:
(P-2W)/2= l
(P-2W)= 2l
P-2W= 2l
P= 2l + 2W
5. Carla babysits and tutors to make extra money. She babysits for $5 an hour and tutors for $10 an hour.
She can only work at most 15 hours a week. She wants to go on a trip with her friend and needs to
make $95 dollars this week to cover the cost of the trip. Graph a system of linear inequalities that
represents this situation. Using this graph, identify at least one combination of hours that will NOT be a
solution to this system of inequalities.
I
Answers
Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
How to graph the inequality?Let x represents hours babysitting and y represents hours tutoring
So, we have:
Earnings = Rate of babysitting * x + Rate of tutoring* y
This gives
Earnings = 5x + 10y
He wants to earn at least $95.
This means that:
5x + 10y ≥ 95
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)
This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
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Which function is the result of vertically stretching f(x) = x ^ 2 - 7 by a factor of 2 and translating downward 5 units?
Answers
The function that is the result of vertically stretching f(x) = x²-7 by a factor of 2 and translating downward 5 units is 2x² - 19.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)Vertical shift:
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)The given function f(x) is needed to be stretched vertically by a factor of 2, therefore, the function can be written as,
g(x) = 2(x² - 7) = 2x² - 14
Now, the function is needed to be translated by 5 units in the downward direction, therefore,
p(x) = g(x)-5 = 2x² - 14 -5
p(x) = 2x² - 19
Hence, the function that is the result of vertically stretching f(x) = x²-7 by a factor of 2 and translating downward 5 units is 2x² - 19.
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During its descent, the pair of sunglasses passed by a climber in the canyon 6 seconds after stefano dropped them. To the nearest meter, what is difference in elevation between stefano and the climber?.
Answers
Answer:
20 can be the answer of it
Given two terms in a geometric sequence find the first five terms.
6) a5 = -162 and a2=-6
Help please!!!
Answers
The first five terms of the geometric series is : -2, -6, -18, -54, -162.
To solve the given problem :Given : [tex]a_{5} = -162[/tex]
[tex]a_{2} = -6[/tex]
We know G.P. series always increases in the form [tex]a.r^{n-1}[/tex]
Similarly, [tex]a_{5} = a.r^{5-1} = a.r^{4} = -162[/tex]
[tex]a_{2} = a.r^{2-1} = a.r = -6[/tex]
Now, [tex]\frac{a_{5} }{a_{2} } = \frac{a.r^{4} }{a.r^{1} } = r^{4-1}[/tex]
[tex]r^{3} = \frac{-162}{-6} = 27[/tex]
[tex]r = \sqrt[3]{27} = 3[/tex]
Now,
[tex]a_{2} = a.r = -6\\a.(3) = -6\\a = -2[/tex]
The first 5 terms are : [tex]a, a.r, a.r^{2} , a.r^{3} , a.r^{4}[/tex]
[tex]-2 , (-2).3 , (-2).3^{2} , (-2).3^{3} , (-2).3^{4}[/tex]
Therefore, The first 5 terms are : -2, -6, -18, -54, -162.
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Glass bottles are redeemed for 50 cents each. Plastic bottles are redeemed for 25 cents each and aluminum cans are .75 cents each. At the end of the event the collected a total of 35 glass bottles 50 plastic bottles and 22 aluminum cans. If there goal was $50 did they make enough money to save the condors
Answers
Answer:
no they did not make enough money
Step-by-step explanation:
Glass: 35 ×0.50 = 17.5
plastic: 50 × 0.25 = 12.5
aluminum: 22 × 0.75 = 16.5
17.5 + 12.5 + 16.5 = $46.5
NEED HELP WITH THIS ASAPP PLEASE HELP RN!!
Answers
Answer:
See attached image
Step-by-step explanation:
TIME REMAINING
57:11
Solve the equation for a.
K = 4a + 9ab
a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.
Answers
An equation is formed of two equal expressions. The given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation, K = 4a + 9ab can be solved for a as shown below,
K = 4a + 9ab
K = a(4+9b)
a = K/(4+9b)
Hence, the given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.
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Please help!!!!
Write the equation of the circle in general form. Show all your work
Answers
Let's first gather all the information we have:
[tex]\rm\hookrightarrow Center: (-3, 2)\\\rm \hookrightarrow Radius: 5[/tex]
Let's put that into standard form [tex](x-h)^2+(y-k)^2 =r^2[/tex]
(h, k): center's coordinater: radius[tex]\rm \hookrightarrow Equation: (x+3)^2+(y-2)^2 = 5^2[/tex]
To put that equation into general form:
⇒ expand all the quadratics on one side and move the radius squared
to the same side as the quadratics
[tex](x+3)^2+(y-2)^2 = 25\\x^2+6x+9+y^2-4y+4=25\\x^2+y^2+6x-4y-12=0[/tex]
Answer: x² + y² + 6x - 4y - 12 = 0
Hope that helps!
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Carlita has a swimming pool in her backyard that is rectangular with a length of 26 feet and a width of 14 feet. She wants to install a concrete walkway of width c around the pool. Surrounding the walkway, she wants to have a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood deck.
Answers
Lets solve the question,
Given dimensions are:
Length = 26 feet
Width = 14 feet
concrete walkway with width = c
After installing the concrete walkway dimensions of the walkway will be,
Length = 26 + 2c
Width = 14 + 2c
She wants to build a wooden deck around the pool with a concrete walkway of width = w
Thus the dimensions of the wooden deck around the pool will be,
Length = [tex]26 + 2c + 2w[/tex]
Width = [tex]14 + 2c + 2w[/tex]
Now the perimeter of the wooden deck will be,
Perimeter = 2(length + width)
[tex]= 2[(26 +2c + 2w) + 2(14 + 2c + 2w)] = 2(40 + 4c + 4w) = (80 + 8c + 8w)[/tex]
Therefore, perimeter of the wooden deck would be: 80 + 8c + 8w
Perimeter = (80 + 8c + 8w)
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IV. Solve the problem. A lineman divided a 1500 m of wire into 5 parts in the ratio 4: 5:6:7:8. How long is each piece of wire? IV . Solve the problem . A lineman divided a 1500 m of wire into 5 parts in the ratio 4 : 5 : 6 : 7 : 8 . How long is each piece of wire ?
Answers
A ratio shows us the number of times a number contains another number. The length of the pieces of wire are 200m, 250m, 300m, 350m, and 400m.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given the piece of wire are in the ratio 4:5:6:7:8. Therefore, the total length of the wire will be,
4x + 5x + 6x + 7x + 8x = 1500m
30x = 1500 m
x = 50 m
Now, the length of the wire will be,
4x = 4(50) = 200m
5x = 5(50) = 250m
6x = 6(50) = 300m
7x = 7(50) = 350 m
8x = 8(50) = 400 m
Hence, the length of the pieces of wire is 200m, 250m, 300m, 350m, and 400m.
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a cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height. using 3.14 or pi which of the following can be used to calculate the volume of the cylinder
Answers
The volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].
What is a volume of a cylinder?The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.
Given that, the height of a cylinder=6 meters and the diameter of a cylinder=6×6=36 meters (A diameter that is 6 times the measure of the height)
Now, radius [tex](r)=\frac{d}{2} =18 meters[/tex]
[tex]\pi =3.14[/tex]
We know that, the volume of the cylinder[tex]=\pi r^{2} h[/tex]
[tex]=3.14\times 18^{2} \times 6 m^{3}[/tex]
[tex]=6,104.16 m^{3}[/tex]
Hence, the volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].
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G E Which of the following segments is tangent to the circle ? 1) overline HL 2 ) overline DE 3 overline FG 4 ) overline AC
Answers
Answer:
DE
Step-by-step explanation:
........................
What is the explicit formula for this sequence?
−7, −4, −1, 2, 5, …
Answers
The explicit formula for the sequence is 3n -10
What is an Arithmetic Sequence ?An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by
[tex]\rm T_n = a +(n-1)d[/tex]
Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be
[tex]\rm T _n = -7 + (n-1) * 3[/tex]
[tex]\rm T _n[/tex] = -7 +3n -3
[tex]\rm T _n[/tex] = 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
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Factorize:
a⁴-a³+2a²
Answers
[tex] {a}^{4} \: - \: {a}^{3} \: + \: {2a}^{2} [/tex]
Factor the expression with the common factor that is "a²".[tex] \boxed{ \bold{ {a}^{2} \: \times \: ( {a}^{2} \: - \: a \: + \: 2)}}[/tex]
MissSpanishAnswer:
a²(a²-a+2)
Step-by-step explanation:
Solution Given:
a⁴-a³+2a²
first taking common a²
we get
a²(a²-a+2) which is a required answer.
Given that the sum to infinity of a G.P. is 10. If the first term of the series is given as 5, determine the 3rd term.
Answers
Answer:
a₃ = 1.25
Step-by-step explanation:
the sum to infinity is calculated as
S ∞ = [tex]\frac{a_{1} }{1-r}[/tex]
a₁ is the first term and r the common ratio
given a₁ = 5 and S∞ = 10 , then
10 = [tex]\frac{5}{1-r}[/tex] ( multiply both sides by (1 - r)
10(1 - r) = 5
10 - 10r = 5 ( subtract 10 from both sides )
- 10r = - 5 ( divide both sides by - 10 )
r = 0.5
then
a₂ = a₁ × r = 5 × 0.5 = 2.5
a₃ = a₂ × r = 2.5 × 0.5 = 1.25
Tell if each is an arithmetic sequence. If it is, give the common difference.
5. 1, 2, 4, 8, 16,...
6. 60, 55, 50, 45, 40,....
7. 20, 21.5, 23, 24.5, 26,...
8. 30, 80, 130, 180,...
9. 3, 6, 12, 21, 33, 48,...
10. 5000, 1000, 200, 40,..
Answers
Answers:
5.) Yes it is, you add each one to itself to get the next number
6.) Yes, you subtract 5 from each number
7.) yes, you add 1.50 to each number
8.) Yes, you add 50 to each number
9.) No, they do not follow a pattern
10) Yes, you divide by 5 every time.
Alex defeated 10 gyms today! She started with four hundred and forty coins and now has five hundred and forty coins
Find the Percent of increase
Answers
The percentage increase is 22.72%
How to determine the percentage increase?The given parameters are:
Initial = 440 coins
Final = 540 coins
The percentage increase is calculated as:
%Increase = (Final - Initial)/Initial * 100%
So, we have:
%Increase = (540 - 440)/440 * 100%
Evaluate the difference
%Increase = 100/440 * 100%
Evaluate the quotient
%Increase = 0.2272 * 100%
Evaluate the product
%Increase = 22.72%
Hence, the percentage increase is 22.72%
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Select the correct answer.
The cost of renting a community center is $100, with an additional cost of $10 per guest.
Which graph has the most appropriate scales and units for this situation?
О А.
B.
Total Rental Cost ($)
tal Cost ($)
500
400
300
200
100
50
40
30
0
10 20 30 40 50
Number of Guests
Answers
The cost of renting a community center for x guest is given as y = 10x + 100
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The standard linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the y intercept.
Let y represent the cost of renting a community center for x guest. Hence:
y = 10x + 100
The cost of renting a community center for x guest is given as y = 10x + 100
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Which of the following best defines the two quantities that are measured to find the call rate of a phone company? Group of answer choices The quantity of price measured in dollars depends on the quantity of time measured in minutes. The quantity of time measured in minutes depends on the quantity of price measured in dollars. The quantity of time measured in minutes depends on the quantity of speed measured in calls per minute. The quantity of speed measured in calls per minute depends on the quantity of time measured in minutes.
Answers
Answer:
B
Step-by-step explanation:
What is the sum of (4x² + 2x - 3) and (3x² + 6)?
A 7x² + 2x + 3
B. 7x² + 3
C. c. 7x² + 2x - 3
D. 7x² - 2x + 3
Answers
Answer:
A
Step-by-step explanation:
(4x² + 2x - 3) + (3x² + 6)
= 4x² + 3x² + 2x - 3 + 6
= 7x² + 2x + 3
(sec²0 + tan²0)(cosec²0+cot²0) = 1sec²5 sin 0
Answers
Answer:
865
Step-by-step explanation:
if minus than answer
how many didgits are in 136.08
Answers
Answer:
5
Step-by-step explanation:
Count the digits.
A hot air balloon is descending.
The height of the balloon n minutes after it starts to descend is hn
metres.
The height of the balloon (n +1) minutes after it starts to descend, hn + 1 metres, is given by
hn + 1 = K×hn
+ 20 where K is a constant.
The balloon starts to descend from a height of 1200 metres at 09 15
At 09 16 the height of the balloon is 1040 metres.
Work out the height of the balloon at 09 18
Answers
Answer:
The height of the balloon at 09 18 = 788.4 meters.
Step-by-step explanation:
As the hot air balloon is descending.
and the height of the balloon n minutes after it starts to descend is [tex]h_{n}[/tex]
meters.
The height of the balloon (n +1) minutes after it starts to descend, [tex]h_{n+1}[/tex]meters, is given by
[tex]h_{n+1}[/tex]= [tex]k *h_{n}+20\\[/tex] where K is a constant
Here the balloon starts to descend from a height of 1200 meters at 09 15
So [tex]h_{n}[/tex]=1200 meters
At 09 16 the height of the balloon is 1040 meters.
So [tex]h_{n+1}[/tex]= 1040 meters
the height of the balloon at 09 18 = [tex]h_{n+3}[/tex] meters
now [tex]h_{n+1}[/tex]= [tex]k *h_{n}+20\\[/tex]
k = [tex]\frac{h_{n+1 }-20 }{h_{n} }[/tex]
k= (1040 - 20) ÷ 1200
k = 0.85
Now [tex]h_{n+2}[/tex] = (0.85 × 1040) +20 =904 meters
Similarly [tex]h_{n+3}[/tex] = (0.85 × 904) +20 = 788.4 meters.
Therefore the height of the balloon at 09 18 = 788.4 meters.
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how did the temperature change if at first it changed by 5 percent then it changed by 20
CAN SOMEONE HELP ILL GIVE 70 POINTS PLSSSSSSS
Answers
Answer:
26% increase
Step-by-step explanation:
Initial temperature= t
5% increase= t+ 5%= 1.05t
20% increase= 1.05t +20%= 1.05t*1.2= 1.26t
1.26 t= t + 26%
So temperature increased by 26%
If f(x) = −3x 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true. x =
Answers
The value of x for the equation to the true is 2/3
Solution to equationGiven the following functions
f f(x) = −3x + 4 and;
g(x) = 2
If the functions are equal, then;
-3x + 4 = 2
Subtract 4 from both sides
-3x = 2 - 4
-3x = -2
x = 2/3
Hence the value of x for the equation to the true is 2/3
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James can hike f(n) miles after building up n days of stamina subject to a maximum of 10 days. Identify the domain that makes sense in this context.
Answers
The domain that makes sense in this context will be (0, 10].
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
James can hike f(n) miles after building up n days of stamina, subject to a maximum of 10 days.
Then the domain that makes sense in this context will be (0, 10].
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What is the slope in f(x)=6x+7
Answers
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{Slope = 6}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{f(x) = 6x + 7}[/tex]
Find: [tex]\textsf{The slope of the equation}[/tex]
Solution: Looking at the equation it is in standard form which is y = mx + b where m is the slope and b is the y-intercept. Looking at our expression we can see that m is equal to 6 which is our slope.
Therefore, the slope of our expression is equal to 6.
What is the chance of landing on $500 and then Lose A Turn?
Answers
Answer:
B = an event that in the second turn it will land on Lose a Turn. Based from the given wheel, there are 24 equal parts with three $500 and one Lose a Turn. Thus, the probability of landing on $500 then lose a turn is 1921 .
this is possible IF thewheele consists of 24 parts
The chance of landing on $500 and then Lose A Turn will be 1/192. Then the correct option is C.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The diagram is given below.
The total number of the events will be
Total events = 24
Then the chance of landing on $500 will be
The number of favorable events will be
Favorable events = 3
⇒ 3/24
⇒ 1/8
Then the chance of the Lose A Turn will be
Favorable event = 1
⇒ 1/24
The chance of landing on $500 and then Lose A Turn will be
P = (1/24)(1/8)
P = 1/192
The chance of landing on $500 and then Lose A Turn will be 1/192.
Then the correct option is C.
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What is a name for the marked angle?
Answers
Answer:
angle CAD
Step-by-step explanation:
look at the 3 points that make up the angle
