Answer:
[tex]8x-40y\geq 600[/tex] and [tex]x>0,y>0[/tex]
Step-by-step explanation:
The number of people is [tex]x[/tex] and the number of hours they are present in the space is [tex]y[/tex].
Per person entry cost is $8.
Per hour cost of rent is $40.
They plan to earn a minimum of $600.
Donations by all the people entering the space is [tex]8x[/tex]
Total cost of renting the space is [tex]40y[/tex] which will be subtracted from the total amount of donations.
The inequality that represents the situation is [tex]8x-40y\geq 600[/tex] and [tex]x>0,y>0[/tex].
A ball is launched upward at 14 m/s from a platform 30 m high.Find the maximum height the ball will reach and how long it will take.
Answer:
The ball will reach a maximum height of 39.993 meters after 1.428 seconds.
Step-by-step explanation:
Let suppose that no non-conservative forces acts on the ball during its motion, then we can determine the maximum height reached by the Principle of Energy Conservation, which states that:
[tex]K_{1}+U_{g,1} = K_{2}+U_{g,2}[/tex] (1)
Where:
[tex]K_{1}[/tex], [tex]K_{2}[/tex] - Initial and final translational kinetic energies, measured in joules.
[tex]U_{g,1}[/tex], [tex]U_{g,2}[/tex] - Initial and final gravitational potential energies, measured in joules.
By definition of translational kinetic energy and gravitational potential energy we expand and simplify the expression above:
[tex]\frac{1}{2}\cdot m\cdot v_{2}^{2}+m\cdot g\cdot y_{2}= \frac{1}{2}\cdot m\cdot v_{1}^{2}+m\cdot g\cdot y_{1}[/tex] (2)
Where:
[tex]m[/tex] - Mass of the ball, measured in kilograms.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]v_{1}[/tex], [tex]v_{2}[/tex] - Initial and final speed of the ball, measured in meters per second.
[tex]y_{1}[/tex], [tex]y_{2}[/tex] - Initial and final heights of the ball, measured in meters.
The final height of the ball is determined by the following formula:
[tex]v_{2}^{2}+2\cdot g\cdot y_{2} = v_{1}^{2}+2\cdot g\cdot y_{1}[/tex]
[tex]v_{1}^{2}-v_{2}^{2}+2\cdot g \cdot y_{1}=2\cdot g\cdot y_{2}[/tex]
[tex]y_{2} = y_{1}+\frac{v_{1}^{2}-v_{2}^{2}}{2\cdot g}[/tex] (3)
If we know that [tex]y_{1} = 30\,m[/tex], [tex]v_{1} = 14\,\frac{m}{s}[/tex], [tex]v_{2} = 0\,\frac{m}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], the maximum height that the ball will reach is:
[tex]y_{2} = 30\,m + \frac{\left(14\,\frac{m}{s} \right)^{2}-\left(0\,\frac{m}{s} \right)^{2}}{2\cdot \left(9.807\,\frac{m}{s^{2}} \right)}[/tex]
[tex]y_{2} = 39.993\,m[/tex]
The ball will reach a maximum height of 39.993 meters.
Given the absence of non-conservative forces, the ball exhibits a free fall. The time needed for the ball to reach its maximum height is computed from the following kinematic formula:
[tex]t = \frac{v_{2}-v_{1}}{-g}[/tex] (4)
If we know that [tex]v_{1} = 14\,\frac{m}{s}[/tex], [tex]v_{2} = 0\,\frac{m}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then:
[tex]t = \frac{0\,\frac{m}{s}-14\,\frac{m}{s} }{-9.807\,\frac{m}{s^{2}} }[/tex]
[tex]t = 1.428\,s[/tex]
The ball will take 1.428 seconds to reach its maximum height.
Help I don't understand I would be very grateful
Answer: C. 1 1/3
Step-by-step explanation:
Slope is calculated by the change in y/the change in x.
Plug values from the table into the equation:
(19-15)/(4-1)
Evaluate and Simplify:
4/3 -> 1 1/3
does anybody want to give a helping hand? ill givebrainliest if its correct but I need this answer asap :( please?
Answer:
I believe your answer is B, im not sure but if correct, give the brainliest to someone else. I don't need it, I want to make another person happy.
Ahmed had 250 story books, he donated 1/2 of them to a library. He then distributed 1/5 of the rest of the story books among his friends. How many books are left with ahmed
Answer:
100
Step-by-step explanation:
250 divided by 2 =125 multiplied by .20 to get 25 then minus 25 from 125 to get 125
Which ratio is equivalent to
5h
$45
?
A. 4h : $36
O
B. 54lbs : 6 OZ
o
4h
$50
D.
$63
9h
Answer:
A.) 4h : $36
Step-by-step explanation:
Why it's right: they equal the same thing
5/45 = 1/9
4/36 = 1/9
Why it's wrong: similar, but backwards
54/6 = 9
Just plain wrong:
4/50 = 2/25
63/9 = 7
What is the unit rate $11.99 for 15 lbs
Answer:
11.99 / 15 =m0.79
Step-by-step explanation:
To solve equations, you must:
- keep the equation
- use
operations
- combine
terms
- solve by isolating the
Answer: Use operations combined terms and solve by insulating the
Equation
Step-by-step explanation:
6x21 order of operation
Answer:
126
Step-by-step explanation:
there isnt anything else to solve so there is no need of order of operation, u would just do 6x21 which is 126
I need help for this question plsss
Answer:
-5
Step-by-step explanation:
Plot both lines and then take the y-value from the point where they intersect.
HTH :)
Given that the points (16,-5)and (-40,16) lie on a line what is the slope of the line
Answer:
-3/8 I think
Step-by-step explanation:
[tex]16 - ( - 5) = 21 \div ( - 40) - 16 = - 56[/tex]
then u just simplify it which is -3/8
A density graph for all of the possible times from 80 hours to 190 hours can
be used to find the probability of a time from 70 hours to 180 hours.
O A. True
B. False
Answer:
False
Step-by-step explanation:
Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x). How did the transformation affect the domain and range of the function?
You can use tables, graphs, or equations to justify your answer.
The two graphs are represented below.
Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.
There are 3 ways to change a function:
Shifting: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the y-coordinate is added or subtract and the x-coordinate is unchanged, there is a vertical shift. If it is the x-coordinate which changes and y-coordinate is kept the same, the shift is a horizontal shift;Scaling: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the y-coordinate is multiplied or divided by a constant but x-coordinate is the same, it is a vertical scaling. If the x-coordinate is changed by a constant and y-coordinate is not, it is a horizontal scaling;Reflecting: it's a special case of scaling, where you can multiply a coordinate per its opposite one;Now, the points for f(x) are:
(-5,0) (0,6) (5,-4) (8,0)
And the points for g(x) are:
(-5,-3) (0,-9) (5,1) (8,-3)
Comparing points:
(-5,0) → (-5,-3)
(0,6) → (0,-9)
(5,-4) → (5,1)
(8,0) → (8,-3)
It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:
(-5,0-3) → (-5,-3)
(0,6-15) → (0,-9)
(5,-4+5) → (5,1)
(8,0-3) → (8,-3)
Then, the vertical change is a Vertical Shift.
Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a Reflection.
Range of a function is all the values y can assume after substituting the x-values.
Domain of a function is all the values x can assume.
Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.
Any vertical translation will change the range of a function and keep domain intact.
Then, for f(x) and g(x):
graph translation domain range
f(x) none [-5,8] [-4,6]
g(x) vertical shift [-5,8] [-9,1]
In conclusion, this transformation (or translation) will affect the range of g(x)
6x + 9 = -12. What is the value of x?
(Six x plus nine, equals negative twelve)
Answer:
The answer is x=-7/2
Step-by-step explanation:
hope this helps
6x + 9 = -12
6x+9-9=-12-9
6x=-21
To find the x divide both side by 6.
6x/6=-21/6
x= -7/2
the answer to this question is = (- 7/2)
46 is what percent of 63?
Answer:
73.015873015873%
Step-by-step explanation:
Convert fraction (ratio) 46 / 63 Answer: 73.015873015873%
Answer:
73.015873015873%
Step-by-step explanation:
i like your profile pic
) Í think of a number. If I multiply it by 5 and divide by 8 I get my answer 10. Form an equation and work out what number was I thinking off.
Answer:
Step-by-step explanation:
reverse solve it.
10*8=80
80/5=16
Answer:
Step-by-step explanation:
5x/8 = 10
multiply both sides by 8
5x = 80
divide both sides by 5
x = 16
The table shows your scores in a skateboarding competition. The leader has 311.62 points. Select the equation that you can use to find how many points p you need in the fourth round to tie the leader. Then solve the equation to determine how many points you need in the fourth round to take the lead in the competition.
Find the second part please.
Answer:
✅[tex] p + 63.43 + 87.15 + 81.96 = 311.62 [/tex]
✅To take the lead, your score in the fourth round must be greater than 79.08.
Step-by-step explanation:
If you score, 63.43, 87.15, 81.96 in the first, second and third round respectively, if the current leader has a total score of 311.62 points, the point p that you need to score to equal 311.62 points, can be found using the following equation:
[tex] p + 63.43 + 87.15 + 81.96 = 311.62 [/tex]
Solve for the value of p
[tex] p + 232.54 = 311.62 [/tex]
Subtract 232.54 from each side
[tex] p = 311.62 - 232.54 [/tex]
[tex] p = 79.08 [/tex]
PLEASEEEEE HELP!!!! 15 POINTS AND DONT PUT SOMETHING RANDOM ITS DUE SOON!!
Answer:
I would think the set answer
A painter mixed 7 ounces of blue paint with every 11 ounces of yellow paint in order to make a green paint.
Problem:
Which ratio of ounces of blue paint to yellow paint will make the same shade of green paint?
Answer: 49:77
Step-by-step explanation:
Complete the table. Adults Children
8 1
16 2
24 A
B 4
find 2u if vector u has initial point of (2,-1) and terminal point (3,1)
Answer:
2u = (2,4)
Step-by-step explanation:
Given that
Initial Point of vector = P1 = (2,-1)
Terminal point of vector = P2 = (3,1)
When the initial and terminal points of vector are given. The vector can either be directly found by using P2-P1 or the unit vectors i and j can be used.
So,
[tex]u =P_2-P_1 = (3-2 , 1-(-1))\\= (1, 1+1)\\=(1,2)[/tex]
Now we have to find 2u
So,
[tex]2u = 2(1,2) = (2,4)[/tex]
Hence,
2u = (2,4)
Solve the system of equations 5x + 6y = 26 and -2 + y = -14 by combining the
equations.
Answer:
(19.6,-12)
Step-by-step explanation:
Answer:
x=
98
5
and y=−12
Step-by-step explanation:
this is what i got
What is the value of k in the equation?
20k/204
= 20 9
k=
Answer:
k= 13
Step-by-step explanation:
Please answer i need it
Answer:
4 and 7
Step-by-step explanation:
4 for 16
7 for 49
Lilou's Diner has a value of 1.73 million dollars. Mitch's Bed and Breakfast has a value of - 0.29 million dollars. Which one of the following inequalities correctly compares the company values? Choose 1 answer: А -0.29 > 1.73 B 1.73 > -0.29 Which one of the following descriptions is correct? Choose 1 answer: Mitch's Bed and Breakfast has a greater value than Lilou's Diner. B Lilou's Diner has a greater value than Mitch's Bed and Breakfast.
Answer:
B and B
Step-by-step explanation:
Answer:
the correct answer is A
and A
3) In 2014 the Cubs won 97 games up from 73 the previous year. Find the percent increase in wins.
Answer:
75%
Step-by-step explanation:
PLS HELPPPP.....QUICK
Answer:
No, because it does not have a constant rate of change. Making it not a function.
Step-by-step explanation:
In order to lure new customers to a credit card, a bank is offering an initial cash back award, plus cash back amounting to a percentage of the value of all purchases made with the card the value of all purchases made with the card and the amount of cash back which of these equations does the graph represent ?
Answer:
A. [tex] c = 0.03p + 150 [/tex].
Step-by-step explanation:
The equation can be written in slope-intercept form as [tex] c = mp + b [/tex], where:
c = cash back (dollars)
p = value of purchases (dollars)
m = slope of the graph
b = y-intercept, which is the initial cash back award.
All we need to generate an equation that represents the graph, we need to find out the value of m and b.
b = until cash back award = 150
The slope, m, can be calculated using two points in the line, (1000, 180) and (2000, 210):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{210 - 180}{2000 - 1000} = \frac{30}{1000} = 0.03 [/tex]
Substitute m = 0.03, and b = 150, in [tex] c = mp + b [/tex].
The equation would be:
✅ [tex] c = 0.03p + 150 [/tex].
if the spinner is spun twice on a circle set in 3 different sectors what is the probabitity of being one of them
Step-by-step explanation:
Mathematicians seek and use patterns[8][9] to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof. When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements.[10] Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.[11]
Mathematics is essential in many fields, including natural science, engineering, medicine, finance, and the social sciences.
f (t) = 2t - 5 find f(7)
Answer:
explanation=
2(7)-5
14-5
=9
Answer:9
Step-by-step explanation:2(7)-5=9
4. See if you can find "like-terms" in the expression and
simplify it.
4- 2x + x^2 -+ 5x + 12 + 2x^2
ny of
Answer:
After finding like terms and solving, we get [tex]\mathbf{3x^2+3x+16}[/tex]
Step-by-step explanation:
We need to find like terms and simplify the expression [tex]4- 2x + x^2 + 5x + 12 + 2x^2[/tex]
Like terms: The terms who have same variable and exponent are called like terms.
So, Combining like terms and solving:
[tex]4- 2x + x^2 + 5x + 12 + 2x^2\\=4+12-2x+5x+x^2+2x^2\\Now \ solving:\\=16+3x+3x^2\\Rearranging \ the \ terms:\\=3x^2+3x+16[/tex]
So, after finding like terms and solving, we get [tex]\mathbf{3x^2+3x+16}[/tex]
Note: In the question given we have - and + sign with the term 5x i.e 4- 2x + x^2 -+ 5x + 12 + 2x^2
I have solved using +5x, but if the term is -5x then the solution will be:
[tex]4- 2x + x^2 - 5x + 12 + 2x^2\\=4+12-2x-5x+x^2+2x^2\\Now \ solving:\\=16-7x+3x^2\\Rearranging \ the \ terms:\\=3x^2-7x+16[/tex]
So, the answer will be: [tex]\mathbf{3x^2-7x+16}[/tex]
