Answer:
Swimming pool
Step-by-step explanation:
Let's say that we invite x people. The cost of the bowling alley will be $15 for the room, and we add $5 dollars for each person. Therefore, we can represent the cost of the bowling alley as
5 * x + 15
Similarly, the cost of the swimming pool is
4 * x + 12
To find the maximum of the function, one thing we can do is set the expressions of the cost equal to 40. This will give us the amount of people we can invite for exactly 40 dollars. Because cost increases with amount of people, this will give us the maximum number of people we can invite with $40.
We thus have
5 * x+ 15 = 40
subtract 15 from both sides to isolate the x and its coefficient
25 = 5 * x
divide both sides by 5 to isolate x
25/5 = x = 5
We can therefore invite 5 people to the bowling alley
4 * x+ 12 = 40
subtract both sides by 12 to isolate the x and its coefficient
28 = 4 * x
divide both sides by 4 to isolate x
x = 7
Therefore, we can invite 7 people to the swimming pool. As 7 > 5, we can invite more people to the swimming pool.
A quicker way to solve this could be by looking at the cost of each location. Because the bowling alley costs more both per person and for the room, and there is no way to decrease the cost except by decreasing the amount of people, there is no way that the bowling alley could get as many people as the swimming pool with the same amount of money
help please!!!! simplify
Answer:
The answer is 0 or 1
Step-by-step explanation:
nobody give you a very long question to solve so I think it has a short solution. When you multiply all equation with together.. after a step it must equal to 0 or 1
3 to the fourth power
Answer:
It's 81
Step-by-step explanation:
You can use a calculator on go.ogle :D
Find the zero of the polynomial [tex]f(x) = 2x + 3[/tex].
[tex]\\ \sf\longmapsto f(x)=0[/tex]
[tex]\\ \sf\longmapsto 2x+3=0[/tex]
[tex]\\ \sf\longmapsto 2x=-3[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-3}{2}[/tex]
Which is the zero of the polynomial
To find the zeros, equate the given expression to zero ,
[tex]\bf \Large \hookrightarrow \: \: 2x \: + \: 3 \: = \: 0[/tex]
[tex]\bf \Large \hookrightarrow \: \:2x \: = \: - 3[/tex]
[tex]\bf \Large \hookrightarrow \: \:x \: = \: \frac{ - 3}{2} \\ [/tex]
Zero of the polynomial is -3/2
You spend $7.00 at the store. The sales tax is 6%. How much is your total bill?
Please explain how you got the answer if you can.
Answer:
7.42
Step-by-step explanation:
First determine the amount of tax
7 * 6%
7 *.06
.42
Add this to the original bill
7 + .42
7.42
The total cost is 7.42
f(t)= 102,000/1+4400e^-t
Answer:
Beginning (t=0) population with flu is 23.
After 4 weeks, population with flu is 1250.
After an infinite amount of weeks, the population witf flu is 102000
Step-by-step explanation:
First question asks you to replace t with 0 because it says beginning.
102000/(1+4400e^-0)=102000/(1+4400)=102000/4401=23.17655 approximately. To nearest whole number this is 23.
After 4 weeks means we replace t with 4:
102000/(1+4400e^-4)
Calculator time:
1250.17142 which to nearest whole number is 1250
If t is super large, then e^-t is super close to 0.
So the limiting number is
102000/(1+4400×0)=102000/1=102000
Which of the following figures does not have line symmetry?
O
E
NEXT QUESTION
O ASK FOR HELP
Answer:
second figure does not have line symmetry
1st , 3rd , 4th figures have line symmetry
Need answers in 2 minutes ASAP
Select the appropriate descriptions of the correlation coefficient (r).
a. r describes the clustering of the points around a line, relative to the SDs.
b. r says how the average value of y depends on x.
c. r determines the accuracy of the regression predictions, through the formula for r.m.s. error.
d. All of the above are accurate descriptions of the uses of r.
Step-by-step explanation:
I Think Its C
Find a point on the line and the line's slope.
y+3=4(x+1)
point on the line: ?
slope:?
Answer:
The slope is 4 and a point on the line is (-1,-3)
Step-by-step explanation:
Point slope form is
y-y1 =m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y+3=4(x+1)
y- -3=4(x- -1)
The slope is 4 and a point on the line is (-1,-3)
(a) If h (x) = x-3 and h(x) = (fog) (x) then find function of f(x) र g(x) of (x+3)³.
(b) If h(x) = (2x - 3) 5, h (x) = (fog) (x) then find two possibility of f(x) g(x).
Answer:
I don't understand the first question with " र" ???
Step-by-step explanation:
b)
1)
f(x)=x and g(x)=(2x-3)^5 so (fog)(x)=g(f(x))=g(x)=(2x-3)^5
2)
f(x)=x^5 and g(x)=2x-3 so (fog)(x)=g(f(x))=g(x^5)=(2x-3)^5
Guys could you answer this for me I just want to double check to make sure I’m right
Answer:
Step-by-step explanation:
I'm guessing but I think you are asked to represent 40% of the circle graph. There are 5 equal slices in the circle. If you shade 2 of them, that will equal 40% because 1 slice represents 20% of the circle, so two slices must be 40%.
convert 16,000 feet per second into kilometres per hour
Answer:
?
Step-by-step explanation:
Brainly challenge
Helpp me plzzz im being timed
What’s the answer to this? Help please?!!!
Answer:B
Step-by-step explanation:
help me pleas omg!sfd hfd sfgd sfgd
Answer:
I believe it’s B.
Step-by-step explanation:
Hope this is rite
what is heavier ten tons of wool or ten tons of steel
What is the volume of this rectangular pyramid?
______ cubic feet
Answer:
Step-by-step explanation:
L = 4 ft
W = 3 ft
H = 7 ft
volume = LWH/3 = 28 ft³
The length of a rectangle is shown below:
On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. Point A is on ordered pair negative 4, 5, and the point B is on ordered pair 5, 5.
If the area of the rectangle to be drawn is 90 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle?
C(4, −5), D(−3, −5)
C(5, −4), D(−4, −4)
C(5, −5), D(−4, −5)
C(−5, 5), D(−5, −4)
Answer:
C(5, −5), D(−4, −5)
Step-by-step explanation:
9 across
A(-4, 5) ————————— B(5, 5)
| |
| 90 square units | 10 down
| |
D(-4, -5) ————————— C(5, -5)
Sum of × +1 and × + 2
Step-by-step explanation:
X +1 + X + 2
X + X + 1 + 2
2x + 3
Therefore it's 2x + 3
What is the factored form of the binomial expansion x3 + 9x2 + 27x + 27?
(x + 3)3
(x - 3)3
(x + 9)3
(X - 9)3
Answer:
A
Step-by-step explanation:
the factored form of the binomial expansion x^3 + 9x^2 + 27x + 27 is (x+3)^3
Can someone help please
Answer: it should be A
Step-by-step explanation:
Square root 1.000441
Answer: 1.00022048
Step-by-step explanation:
An organization consists of 8,684 employees. They decided to conduct a survey about their new vacation policies. The organization surveyed 884 of their employees and found that 36% of those surveyed disliked the new vacation policies. Assuming a 95% confidence level, which of the following statements holds true?
Answer:
A. As the sample size is appropriately large, the margin of error is ±0.032.
Step-by-step explanation:
The margin of error is ±0.032 and the sample size is appropriately large. Therefore, the correct option is A.
look below for the image
Answer:
135.7 yd²
Step-by-step explanation:
Surface area of the cone,
πr²+πrl
= π×3²+π×11.4×3
= 43.2π
= 135.7 yd² (rounded to the nearest tenth)
PLEASE HELP!!! ITS DUE TONIGHT!!!!!
YOUR ASSIGNMENT: Difference of 10
Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game.
Your Player
1. Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer)
a. Which player did you select?
b. What number did the other player pick?
Modeling Ways to Win
2. Should you use an equation or an inequality to represent the ways your player can win? Why? (2 points: 1 point for an answer, 1 point for an explanation)
3. Imagine that Erik chose a 4 and Nita chose a 12. Would the winner be different if Nita chose the 4 and Erik chose the 12? (2 points: 1 point for an answer, 1 point for an explanation)
4. Is it appropriate to use an absolute value inequality to represent how a player wins this game? Why? (2 points: 1 point for an answer, 1 point for an explanation)
5. If your player is Erik, write an inequality that shows all of the ways that Erik will win if Nita chooses 7. If your player is Nita, write an inequality that shows all of the ways that Nita will win if Erik chooses 17.
Be sure to define your variable. (3 points: 1 point for defining the variable, 2 points for the correct inequality)
6. In order to graph your solutions, solve for the variable. Be sure to show your work. (2 points)
7. Sketch a graph of your solutions. (2 points: 1 point for endpoints, 1 point for the correct region)
Forming a Strategy and a New Rule
8. What is the range of numbers that will win the game for your player?
If your player is Erik, assume that Nita chooses 7.
If your player is Nita, assume that Erik chooses 17.
(Hint: Remember that Erik and Nita can choose only numbers from 0 to 20, inclusive.) (2 points)
9. Graph all the possible numbers that either player could pick. Compare this graph with your answer in question 8.
If your player is Erik, and Nita chooses 7, does Erik have a good chance of winning?
If your player is Nita, and Erik chooses 17, does Nita have a good chance of winning?
Explain your answer. (3 points: 1 point for the correct graph, 2 points for the explanation)
Answer:
it is too long send me link of it
Answer: Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer) a. Which player did you select? Erik, assume that Nita chooses 7. b. What number did the other player pick? 17
2. Should you use an equation or an inequality to represent the ways your player can
win? Why? (2 points: 1 point for an answer, 1 point for an explanation)
An algebraic statement that represents all the ways Eric will wins is
where
be the number that Eric thi
3. Imagine that Erik chose a 4 and Nita chose a 12. Would the winner be different if
Nita chose the 4 and Erik chose the 12? (2 points: 1 point for an answer, 1 point for
an explanation)
no because both nita and eric won. eric with a number less than than 10
and nita with a number more than 10.
4. Is it appropriate to use an absolute value inequality to represent how a player wins
this game? Why? (2 points: 1 point for an answer, 1 point for an explanation)
they win it remains positive the negative will be losses which will be changed due to
absolute value
5. If your player is Erik, write an inequality that shows all of the ways that Erik will win
if Nita chooses 7. If your player is Nita, write an inequality that shows all of the ways
that Nita will win if Erik chooses 17.
Be sure to define your variable. (3 points: 1 point for defining the variable, 2 points for
the correct inequality)
Step-by-step explanation:
What is the number of 20% of 40
Answer:
8
Step-by-step explanation:
40 x 0.20
= 8
Find the value of z.
a.95 b.110 c.140 d. 100
Answer:
110
Step-by-step explanation:
2x + 15 = ((10x+20)-80)/24x + 30 = 10x - 6030 = 6x - 6090 = 6xx = 15So, 10x+20=170.
As the circumference of a circle is 360°, z is equal to 110.
3^x= 3*2^x
solve this equation
Answer:
[tex] {3}^{x} = 3 \times {2}^{x} \\ x = \frac{ln(3)}{ln(3) -ln(2) } = \frac{1.09}{1.09 - 0.69} \\ x = 2.7[/tex]
I hope I helped you^_^
PLEASE HELP ASAP will give brainliest
Step-by-step explanation:
3n-5=(-8*6)+(-8*5n) distributive property
3n-5=-48-40n
3n+40n=-48+5 add property
43n=-43 add property
43n/43=-43/43 division property
n=-1
The vertex form of the equation of a vertical parabola is given by , where (h, k) is the vertex of the parabola and the absolute value of p is the distance from the vertex to the focus, which is also the distance from the vertex to the directrix. You will use the GeoGebra geometry tool to create a vertical parabola and write the vertex form of its equation. Open GeoGebra, and complete each step below. If you need help, follow these instructions for using GeoGebra. Mark the focus of the parabola you are going to create at F(6, 4). Draw a horizontal line that is 6 units below the focus. This line will be the directrix of your parabola. What is the equation of the line?
Part F
What is the value of p for your parabola?
Font Sizes
Characters used: 0 / 15000
Part G
Based on your responses to parts C and E above, write the equation of the parabola in vertex form. Show your work.
Font Sizes
Characters used: 0 / 15000
Part H
Construct the parabola using the parabola tool in GeoGebra. Take a screenshot of your work, save it, and insert the image below.
Font Sizes
Characters used: 0 / 15000
Part I
Once you have constructed the parabola, use GeoGebra to display its equation. In the space below, rearrange the equation of the parabola shown in GeoGebra, and check whether it matches the equation in the vertex form that you wrote in part G. Show your work.
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Characters used: 0 / 15000
Part J
To practice writing the equations of vertical parabolas, write the equations of these parabolas in vertex form:
focus at (-5, -3), and directrix y = -6
focus at (10, -4), and directrix y = 6.
Answer:
Step-by-step explanation:
Focus: (6,4)
Directrix lies 6 units below the focus, so the parabola opens upwards and focal length p = 6/2 = 3.
The equation of the directrix is y = -2.
The vertex is halfway between focus and directrix, at (6,1).
Equation of the parabola:
y = (1/(4p))(x-6)²+1 = (1/12)(x-6)²+1
The equation of the parabola is [tex]y = \frac{1}{12}(x - 6)^2 + 1[/tex]
What are parabolas?Parabolas are used to represent a quadratic equation in the vertex form
The given parameters are:
Focus = (6,4)
Directrix (x) = 6 units below the focus,
Start by calculating the focal length (p)
[tex]p = \frac x2[/tex]
This gives
[tex]p = \frac 62[/tex]
[tex]p = 3[/tex]
Next, calculate the vertex as follows:
[tex](h,k) = (6,2/2)[/tex]
Simplify
[tex](h,k) = (6,1)[/tex]
The equation of the parabola is then calculated a:
[tex]y = \frac{1}{4p}(x - h)^2 + k[/tex]
So, we have:
[tex]y = \frac{1}{4*3}(x - 6)^2 + 1[/tex]
Simplify
[tex]y = \frac{1}{12}(x - 6)^2 + 1[/tex]
Hence, the equation of the parabola is [tex]y = \frac{1}{12}(x - 6)^2 + 1[/tex]
Read more about parabola at:
https://brainly.com/question/26738087
