The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments
Creating the functions of the Bond's GymFrom the question, we have the following parameters that can be used in our computation:
The table of values
For the membership application, we have the following features
Initial value = 600Constant rate of change = (450 - 600)/(15 - 0) = -10So, the function is
f(x) = 600 - 10x
For the membership available, we have the following features
Initial value = 0Constant rate of change = (100 - 0)/(15 - 0) = 20/3So, the function is
g(x) = 20/3x
So, the functions are f(x) = 600 - 10x & g(x) = 20/3x
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Without graphing, find the slope of the line that goes through each pair of coordinate points. (0,5) and (8,2 ) [Choose ] (2,-1) and (6, 1) [ Choose ] (-3,-2) and (- 1,-5) [ Choose]
Answers:
(0,5) and (8,2 ) = 2/3
(2,-1) and (6, 1) = 1/2
(-3,-2) and (- 1,-5) = -3/2
Explanation:
The slope of a line that goes through two points (x1, y1) and (x2, y2) can be calculated as:
\(m=\frac{y_2-y_1}{x_2-x_1}\)So, the slope of a line that goes through (0,5) and (8,2) is equal to:
\(m=\frac{2-0}{8-5}=\frac{2}{3}\)The slope of a line that goes through (2, -1) and (6, 1) is:
\(m=\frac{1-(-1)}{6-2}=\frac{1+1}{4}=\frac{2}{4}=\frac{1}{2}\)The slope of a line that goes through (-3, -2) and (-1, -5) is:
\(m=\frac{-5-(-2)}{-1-(-3)}=\frac{-5+2}{-1+3}=-\frac{3}{2}\)Therefore, the answers are:
(0,5) and (8,2 ) = 2/3
(2,-1) and (6, 1) = 1/2
(-3,-2) and (- 1,-5) = -3/2
10. The total cost of shipping toys from a specific company is $5 plus $2.50 times the number of toys purchased
Answer:y=2.50x+5
Step-by-step explanation:
y=2.50x+5
that's all i can do with the information provided
Brainlest if you help me with this last problem
Answer:
560 inches squared
Step-by-step explanation:
The easiest way to solve this problem is to break the green figure into 2 rectangles.
The area of a rectangle is length ✕ width.
To solve the smaller rectangle: 28 - 17 (length) ✕ 35 - 15 (width) = 220
To solve the bigger one: 28 - 11 (length) ✕ 35 - 15 (width) = 340
Then add the two answers together :)
Hope this helped!
A large university chemistry course has a required textbook available for $ 154 and a recommended supplement for $ 36. The university bookstore finds, over time, that 15% of students enrolled in the course purchase only the textbook, while 75% buy both the textbook and the supplement. No students buy only the supplement. a) What percent of students buy neither the textbook nor the supplement from the bookstore
Answer:
10% of students buy neither the textbook nor the supplement from the bookstore
Step-by-step explanation:
We have that:
15% buy only the textbook.
75% buy both the textbook and the supplement.
None buy only the supplement.
a) What percent of students buy neither the textbook nor the supplement from the bookstore
15% + 75% = 90% buy at least one of them. So
100% - 90% = 10% buy neither.
The amount of stretch of a hanging spring versus the mass attached to the bottom of the spring was measured for different masses. The results are shown in the table. mass (grams) stretch centimeters) 24 48 8 10 16 | 20 What is the constant of proportionality between the mass and the amount of stretch? O 0.5 centimeters per gram O 0.5 grams per centimeter squared O 2.0 centimeters per gram O 2.0 grams per centimeter squared
From the proportional relationship, it is found that the constant of proportionality between the mass and the amount of stretch is of 2.0 centimeters per gram.
------------------------
For a mass of 24 grams, the stretch is of 48 centimetres.For a mass of 8 grams, the stretch is of 16 centimetres.For a mass of 10 grams, the stretch is of 20 centimetres.The constant of proportionality is:
\(\frac{48 \text{cm}}{24 \text{g}} = \frac{16 \text{cm}}{8 \text{g}} = \frac{20 \text{cm}}{10 \text{g}} = 2 cm/g\)
Thus, the constant is of 2.0 centimeters per gram.
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3 What is 0.94 as a percent?
To write a decimal as a percentage multiply the decimal by 100, this way:
\(0.94\cdot100=94\)0.94 written as a percentage is 94%.
3 2/5 divided by 1 1/5 pleaseeee help its due on may 24
Answer:
2.83333333333
Step-by-step explanation:
(3 2/5) / (1 1/5) = 2.83333333333
Answer:
85/30 or 2.833333333
Step-by-step explanation:
When dividing fractions, you must find the reciprocal of the second number and multiply it as usual.
It is also much easier to solve after you convert these numbers to improper fractions.
In this case,
3 2/5 = 17/5
1 1/5 = 6/5
17/5 ÷ 6/5
17/5 x 5/6
85/30 (17/6 reduced)
or
2.83333333333333333333
The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days and a standard deviation of 17 days.
In what range would you expect to find the middle 98% of most pregnancies?
Between
299.34
Incorrect229.3 and
303.4
Incorrect308.7.
If you were to draw samples of size 58 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample?
Between
264
Correct and
274.1
Correct.
Enter your answers as numbers. Your answers should be accurate to 1 decimal places.
You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.
For the given data:
Mean (μ) = 269 days
Standard deviation (σ) = 17 days
To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.
To find the z-score for the 1% percentile (lower bound):
z1 = Φ^(-1)(0.01)
Similarly, to find the z-score for the 99% percentile (upper bound):
z2 = Φ^(-1)(0.99)
Now, we can calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:
lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days
upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days
Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.
Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:
Mean of sample means (μ') = μ = 269 days
Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229
To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').
Now, calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:
lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days
upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days
Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
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The reading on a mercury manometer at 25 C ( open to the atmosphere at one end ) is 56.38 cm the local acceleration of gravity is 9.832m.s^-2 atmospheric pressure is 101.78kpa what is the absolute pressure in kpa being measured? The density of mercury at 25 C is 13.534 g.cm^-3
If the reading on a mercury manometer at 25 C is 56.38 cm the local acceleration of gravity is 9.832m.s^-2 atmospheric pressure is 101.78kpa The absolute pressure in kpa being measured is: 176.803kPa.
Absolute pressureUsing this formula
Pabs=Pg+Patm
Where:
Pabs= Absolute pressure.
Patm=Atmospheric pressure
ρm=Density of mercury
g=Acceleration of gravity
h=Reading on a mercury manometer
Let plug in the formula
Pabs=101.78×10³Pa+( 13.534×10³kg/m×9.832 m/s²×0.5638 m.
Pabs=101.78×10³Pa+75.023×10³kg/m.s²
Pabs=101.78×10³Pa+75.023×10³Pa
Pabs=176.803×10³Pa
Pabs=176.803kPa
Therefore If the reading on a mercury manometer at 25 C is 56.38 cm the local acceleration of gravity is 9.832m.s^-2 atmospheric pressure is 101.78kpa The absolute pressure in kpa being measured is: 176.803kPa.
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Find x if:
- B is between A & C;
-AB = x + 5;
-BC = 2(x-3); and
-AB ~= BC
Answer:
The value of x = 11
Step-by-step explanation:
Given
B is between A and C.AB = x+5BC = 2(x - 3)\({\displaystyle {\overline {AB}\) ≅ \({\displaystyle {\overline {BC}\)Determining the value of x
As B is between A and C, so
\({\displaystyle {\overline {AB}\) ≅ \({\displaystyle {\overline {BC}\)
as
AB = x+5BC = 2(x - 3)so
x + 5 = 2(x-3)
x+5 = 2x-6
2x-x = 5+6
x = 11
Therefore, the value of x = 11
Justin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $5.75. Justin must sell a minimum of $520 worth of tacos and burritos each day. If 39 tacos were sold, determine the maximum number of burritos that the Justin could sell that would meet the requirements. If there are no possible solutions, submit an empty answer.
Answer:
788
Step-by-step explanation:
A store sells a package of 7 water bottles for $5.60.
What is the price per water bottle?
cars pass a busy intersection at a rate of approximately 16 cars per minute. what is the probability that at least 1000 cars will cross the intersection in the next hour? (hint: what is the rate per hour?)
The probability that at least 1000 cars will cross the intersection in the next hour depends on the assumptions made about the distribution of car arrivals.
The probability that at least 1000 cars will cross the intersection in the next hour can be determined by first finding the rate per hour.
Convert the rate from cars per minute to cars per hour.
Since there are 60 minutes in an hour, multiply the given rate (16 cars per minute) by 60 minutes:
16 cars/minute x 60 minutes/hour = 960 cars/hour
Compare the desired number of cars (1000) with the calculated rate per hour (960 cars/hour). Since 1000 cars are more than the rate of 960 cars/hour, the probability of at least 1000 cars crossing the intersection in the next hour is less than 100%.
To determine the exact probability, we need to make some assumptions about the distribution of car arrivals.
If we assume the car arrivals follow a Poisson distribution, we can use the Poisson probability formula to find the probability of at least 1000 cars crossing the intersection:
P(X ≥ 1000) = 1 - P(X < 1000) = 1 - (P(X=0) + P(X=1) + ... + P(X=999))
Where P(X=k) = (e^(-λ) * (λ^k)) / k!,
λ is the average rate (960 cars/hour), and k is the number of cars.
Calculate the probabilities for P(X=0) to P(X=999) and sum them up.
Then subtract the sum from 1 to get the probability of at least 1000 cars crossing the intersection in the next hour.
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k Find the value of k. H 160⁰ Not drawn accurately
the measure of total interior angles of any quadrilateral is 360°.
so, k+ 160°+ 90° + 90° = 360°
k + 340°= 360°
therefore, k = 20°
(3×10 – 4)(2×1010) whats the scientific notion
The result of the multiplication in scientific notation is given by:
\(6 \times 10^{6}\)
What is scientific notation?A number in scientific notation is given by:
\(a \times 10^b\)
With the base being \(a \in [1, 10)\).
When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.
For this problem, the numbers are given by:
\(3 \times 10^{-4}, 2 \times 10^{10}\)
The result of the multiplication is given by:
\(3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}\)
The result of the multiplication in scientific notation is given by:
\(6 \times 10^{6}\)
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2 1/6
years =
How many months
Answer:
26 months
Step-by-step explanation:
There are 12 months in a year 1/6 of 12 is 2. So 24 +2 = 26.
I'd say that 2 1/6 years is 26 months.
Answer:
26 months
Step-by-step explanation:
12 months = 1 year
24 months = 2 years
1/6 = 2/12
So, it is 26 months
Have a wonderful day! :)
A family earns at most $2500 a month. The family’s monthly expenses are $2000. Write and solve an inequality to find the possible amounts of money the family could save each month.
Answer:
Hi there!
Your equation is:
x-2000<=2500
Step-by-step explanation:
X represents the amount of money earned. Subtract 2000 for expenses, and that is less than or equal to 2500.
Hope this helps
Answer:
it should be 4500
Step-by-step explanation:
2500+2000=4500 hope this helps
Compare the fractions using >, < or=.
9/10 and 78/100
Answer:
9/10 > 78/100
Step-by-step explanation:
We can make 9/10 into 90/100, and since they now have the same denominator (Bottom number in fraction), we can now compare the numerators (Top number in fraction). 90 is greater than 78 so we can say that 9/10 > 78/100 (9/10 is greater than 78/100).
NO LINKS!! URGENT HELP PLEASE!!
Please help with 21
Answer:
34.45%
Step-by-step explanation:
A tree diagram shows all possible outcomes of two or more events.
Each branch is a possible outcome and is labelled with the probability of that outcome.
Draw lines (branches) to represent the first event (main meal). Write the outcomes on the ends of the branches: "sandwich" and "slice of pizza". Write the given probabilities on the branches.
Draw the next set of branches to represent the second event (side). Write the outcomes on the ends of the branches: "chips" and "veggies with hummus". Write the given probabilities on the branches.
We assume that the events in this scenario are independent, so the probability of the first event happening has no impact on the probability of the second event or the third event happening. Therefore, to find the probability of each combination of events, multiply along the branches.
Sandwich and chips = 35% × 47% = 16.45%
Sandwich and veggies with hummus = 35% × 53% = 18.55%
Slice of pizza and chips = 65% × 47% = 30.55%
Slice of pizza and veggies with hummus = 65% × 53% = 34.45%
Therefore, the probability that Sophie selects a slice of pizza and veggies is 34.45%.
The probability that Sophie selects a slice of pizza and veggies is 34.45%.
Calculating the probability of pizza and veggiesFrom the question, we have the following parameters that can be used in our computation:
Sandwich = 35%Chips = 47%Veggies with hummus = 53%Pizza = 65%The probability of pizza and veggies is calculated as
P = Pizza * Veggies
Substitute the known values in the above equation, so, we have the following representation
P = 65% * 53%
Evaluate
P = 34.45%
Hence, the probability that Sophie selects a slice of pizza and veggies is 34.45%.
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Find side x of a right triangle with 21  hypotenuse and angle of 23 degrees
What is the difference?
-3 2/3 - (-2 1/4)
let's firstly convert the mixed fractions to improper fractions.
\(\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}~\hfill \stackrel{mixed}{2\frac{1}{4}} \implies \cfrac{2\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{11}{3}-\left( \cfrac{9}{4} \right)\implies -\cfrac{11}{3}+\cfrac{9}{4}\implies \cfrac{-(4)11~~ + ~~(3)9}{\underset{\textit{using this LCD}}{12}} \\\\\\ \cfrac{-44+27}{12}\implies \cfrac{-17}{12}\implies {\Large \begin{array}{llll} -1\frac{5}{12} \end{array}}\)
Real estate ads suggest that 62% of homes for sale have garages 28% have swimming pools and 18% have both features. If a home for sale has a garage what’s the probability that it has a pool too?
Answer:
Step-by-step explanation:
The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool
let y = 2x + 9 what is y when x = 5
Answer:
19
Step-by-step explanation:
y = 2(5) + 9
A spherically shaped hot air balloon has a
diameter of about 27 meters when fully inflated.
What is the volume of the hot air balloon when it
is fully inflated?
Answer: 7725.5775
Step-by-step explanation:
d=27
r=d/2=27/2=13.5
the volume of the spherical balloon= 3.14*r^3
= 3.14*(13.5)^3
= 7725.5775
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Could you solve for `x` using any tools we have so far? Why or why not?
the value of x can be calculated using the given data.
What are the properties of a Triangle?The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
Given a triangle, with two known angles of 42-degree and 26-degree
Let the triangle be ABC
This is, in fact, exactly what the Law of Sines tells you:
a/sinA = b/sinB = c/sinC = m
where m is that scale factor and also the diameter of the triangle's circumcircle.
in our case,
∠A = 26°
∠B = 42°
thus,
a/sinA = b/sinB
4/sin26 = b/sin42
b = 4* (sin 42 /sin26)
b =6.12
or x = 6.1 cm
therefore, the value of x can be calculated using the given data.
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Justin runs each lap in 8 minutes. He will run at most 10 laps today. What are the possible numbers of minutes he will run today?
Estimate a 15% tip on a dinner bill of $63.27 by first rounding the bill amount to the nearest ten dollars.
Answer:
69
Step-by-step explanation:
Nearest 10 = 60
15%×60 = 9
60+9 = 69
please someone help me
Answer: 120 square feet
Step-by-step explanation:
Area of carpet = (8-1-1)(20)=120 square feet
Choose the inequality that represents the following graph.
A x<-5
B x≤-5
C x>-5
D x≥-5
Answer:
x > -5, so the correct answer is C.
This is due today, please help me out and show me how you did it!!
The area of the rectangular figure with two semicircles on the opposite side is 36.56 sq cm.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
Given, A rectangle with two semicircles on two opposite sides.
The length of the rectangle is 6cm and the width of the rectangle is 4cm.
The two given semicircles have a diameter of 4cm seems obvious.
∴ The area of the total figure is an area of the rectangle added to the area of 2 semicircles which makes up to a circle with a radius 2 cm.
∴ (4×6) + π(2)² sq cm.
= 24 + 4π sq cm.
= 24 + 12.56 sq cm.
= 36.56 sq cm.
The area which is not taken up in the rectangle and two circle questions are
(area of the rectangle - 2 times the area of a circle).
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