Answer:
The answer is below
Step-by-step explanation:
A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Solution:
The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:
V'(x) = 0
V(x) = x(1500 - x) = length * breadth.
This means the enclosure has a length of x and a width of 1500 - x
Given that:
v(x)=1500x-x². Hence:
V'(x) = 1500 -2x
V'(x) = 0
1500 -2x = 0
2x = 1500
x = 1500 / 2
x = 750 feet
The maximum area = 1500(750) - 750² = 562500
The maximum area = 562500 feet²
Answer:
562500 feet²
Step-by-step explanation:
What is the value of x?
Answer:
45
Step-by-step explanation:
Answer:
value of x=1
Step-by-step explanation:
Your principal amount is $450 your interest rate is 6% and your time is 8 years what is your interest earned after eight years what is your new total amount earned after 8 years
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal= $450
Number of periods= 8 years
Interest rate= 6%
We will determine the interest earned and future value using simple interest and compound interest:
Simple interest:
I= P*r*t
I= 450*0.06*8= $216
Total Future Value= I + P
Total Future Value= 216 + 450= $666
Compound interest:
I= [P*(1+r)^t] - P
I= [450*(1.06^8)] - 450= $267.23
Total Future Value= P*(1+r)^t
Total Future Value= 450*1.06^8
Total Future Value= $717.23
Answer:
Step-by-step explanation:
6
HELP PLEASEEE OVERDUE (show work) will give BRAINLIEST ! :)
Answer:
2/7 I Don't know the other one
here you go, hope that helps some
Your cellphone bill in august was $61.43,which was $21.75more than your bill in July.Your cell phone bill in July was $13.62 less than your bill in June.what was your cell phone bill in June?
Answer:
53.3
Step-by-step explanation:
Numerical pruun
a. Convert the following.
i) 2.4 millimetres into metre
i
2.4 millimetres into meter is 0.0024.
Answer:
0.0024 meters
Step-by-step explanation:
Using conversion.
Hope this helps!
xoxo,
cafeology
HELP!Please answer these for me?:)))
Answer:
You didn’t explain what we had to do....
Step-by-step explanation:
I’m not really sure...I’m sorry
A car drives 195 miles in 3 hours and 15 minuits. What is the average speed of the car?
Answer: [tex]61.9miles/hr[/tex]
Step-by-step explanation:
given data:
distance travelled by the car = 195 miles
time taken = 3 hours and 15mins
solution
average speed of the car
[tex]= \frac{195miles}{3hrs15mins} \\\\= 61.9miles/hr[/tex]
Answer:
The average speed is [tex]v=60 miles/h[/tex]
Step-by-step explanation:
The equation of the average speed os given by:
[tex]v=\frac{\Delta x}{\Delta t}[/tex] (1)
here:
Δx is just 195 miles
Δt is the time traveled. 3.25 h ( 3 h + 15 min or 0.25 h)
So we just need to put this into the equation (1)
[tex]v=\frac{195}{3.25}[/tex]
Therefore, the average speed is [tex]v=60 miles/h[/tex]
I hope it helps you!
What is the difference between 2 2/3 - 1 2/3
Answer:
1
Step-by-step explanation:
Subtract
Since they have the same denominator you can subtraact normally
so 2 2/3- 1 2/3
That would be 1
help me pleaseeeee!!!
Answer:
1. distribution property
2. subtraction property
3. division property
Step-by-step explanation:
Answer:
Try division property
Scale on a floor plan is 1 inch 8 feet what actual distance is represented by a distance of 2.6 inches on the floor plan?
Answer:I’m pretty sure it’s b (20.8)
Step-by-step explanation:
what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.
Answer:
Step-by-step explanation:
Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.
I’ll mark as BRANLIEST!!
Please help me!!
40 POINTS!!!
Step-by-step explanation:
Notice that B = {1, 3, 5, 7} and C = {0, 2, 4, 6, 8, 10}.
A U B = {1, 3, 5, 7}.
B ∩ C = { }.
A U C = {0, 1, 2, 4, 5, 6, 7, 8, 10}.
Tom had $55.85. He bought a shirt for $14.86, pants for $25.88, and socks for $5.76. Explain (using a sentence) how Tom can estimate the amount of money he has left. Then find the estimate. Round your answer to the nearest dollar.
HURRY! I HAVE FINALS :(
Answer:
$9.35
Step-by-step explanation:
14.86+25.88+5.76=46.5
55.85-46.5=9.35
Answer:
The rounded number would be nine
Step-by-step explanation:
It would be nine because you convert 55.85 to 56 then convert 14.86 to 15 convert 25.88 to 26 and convert 5.76 to 6 then subtract all of that to get nine hope it helps
a scientist mixes water (containing no salt) with a solution that contains 30% salt. she wants to obtain 210 ounces of a mixture that is 5% salt. how many ounces of water and how many ounces of the 30% salt solution should she use?
Answer:
er n4356463
Step-by-step explanation:
8. A school raffle sold 480 tickets. Students were charged $1/ticket and teachers $5/ticket. The total receipts were $560. How many of each ticket were sold? 9. An airplane travels 5432 km. On the outward trip it took 7 hours with the wind. On the return trip, it took 8 hours against the wind. What was the speed of the plane and the speed of the wind? (Remember: distance = speed x time)
Answer:
8. Number of student tickets = 460
Number of teacher tickets = 100
9. Speed of plane = 727.5 km/hr
Speed of wind = 48.5 km/hr
Step-by-step explanation:
8.
Let number of students' tickets = [tex]x[/tex]
Let number of teachers' tickets = [tex]y[/tex]
Total number of tickets = 480
[tex]x+y=480[/tex] ...... (1)
Price for one student's ticket = $1
Price for one teacher's ticket = $5
Total money collected by the tickets = $560
[tex]x +5y = 560[/tex] ...... (2)
Subtracting (1) from (2):
[tex]4y = 80\\\Rightarrow y = 20[/tex]
By equation (1):
[tex]x = 460[/tex]
Number of student tickets = 460
Number of teacher tickets = 100
9.
Let the speed of airplane in still air = [tex]u[/tex] km/hr
Let the speed of air = [tex]v[/tex] km/hr
Total distance = 5432 km
Time taken with the wind = 7 hours.
Speed with the wind = [tex]u+v[/tex] km/h
Time taken against the wind = 8 hours.
Speed with the wind = [tex]u-v[/tex] km/h
Using the formula:
Distance = Speed [tex]\times[/tex] Time
[tex]5432 = (u+v)\times 7\\\Rightarrow u +v = 776 .... (1)[/tex]
[tex]5432 = (u-v)\times 8\\\Rightarrow u - v = 679 .... (2)[/tex]
Adding (1) and (2):
[tex]2u = 1455\\\Rightarrow u = 727.5\ km/hr[/tex]
By equation (1):
[tex]v = 48.5\ km/hr[/tex]
Speed of plane = 727.5 km/hr
Speed of wind = 48.5 km/hr
Alejandro is renting a car to visit his cousin for seven days. The rental car company charges him $199 for the week plus $0.32 per mile driven. Alejandro has $350 to spend on the rental car fees. Write an inequality to determine how many miles Alejandro can afford to drive.
Answer:
(199+0.32)minus 350
Step-by-step explanation:
199 is the cost plus fee per mile 0.32 subtract 350 to see if he can afford it
For one Chemistry test, Joan had to answer 40 questions. Of these 40 questions, Joan answered 22 of them correctly. What percent did Joan get on her Chemistry test? Round your answer to the nearest whole number if necessary. *
Answer:
55%
Step-by-step explanation:
The total number of questions gotten correctly = 22
The total number of questions to be answered = 40
The percent of questions Joan got correctly is calculated as:
(The total number of questions gotten correctly/The total number of questions to be answered) × 100
22/40 × 100
= 55%
Tominka use 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet. How many necklaces and bracelet sets can she make if she uses 28 1/3 inches of wire in all?
Answer: 3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.
Step-by-step explanation:
step 1
LET I set of necklace and bracelet be represented as ( A bracelet and a necklace)
if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet for a set
Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9
= 9 4/9 inches.
Step 2
IF a set (One necklace and bracelet) can use = 9 4/9 inches
and Total wire used = 28 1/3inches
Then Number of necklaces and bracelet sets that can be made from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches
=85/3 / 85/ 9 = 85/3 x 9/ 85 = ( 85 cancels 85 )
9/3 = 3
3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.
A term without a variable is called what?
Answer:
constants
are the term
Answer:
Constants
Step-by-step explanation:
I hope this is correct and have a great day
Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.
4x+3y≥12
Answer:
The strategy is to find the x and y intercept of the given equation
Step-by-step explanation:
4x+3y≥12
In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;
x-intercept occurs at where y = 0
when y = 0
4x + 3(0)≥12
4x ≥12
x ≥12/4
x≥ 3
Also y intercept occurs at where x = 0
4x+3y≥12
4(0)+ 3y ≥12
3y≥12
y≥12/3
y≥4
Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following equation. Then place the correct number in the box provided.
x+6-5=8-2
I need help please!!
Answer:
y=-2x+5
Step-by-step explanation:
thats the equation because you use the formula, y=mx+b. b is the y intercept (the verticle straight line) and m is the slope. hope this helped!!
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12 more feet to get a better look at a coral reef.
Complete question :
A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12
more feet to get a better look at a coral reef.
What is the scuba diver's final position relative to sea level?
Answer:
- 22 feets
Step-by-step explanation:
Given that:
Starting position of scuba diver = 10 feets below sea level = - 10 feets
Then a further descent of 12 feets in other to get a better look of the coral Reef
Further descent = - 12 feets (below sealevel)
Hence, Final position of the scuba diver will be:
Starting position + depth of further descent
(-10 + - 12) feets
-22 feets
1. 3, 12, 48,_,_,_
Find the missing terms in each geometric sequence
If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?
please answer in fractions.
Part 1:
What is the rate per hour of the temperature increase?
Part 2:
How much will the temperature increase after 4 hours?
Answer:
Part 1: 7/3 degrees/hour
Part 2: 28/3 degrees
Step-by-step explanation:
Part 1:
3 1/2 degrees per 1 1/2 hours =
= (3 1/2)/(1 1/2)
= (7/2) / (3/2)
= 7/2 * 2/3
= 7/3 degrees/hour
The rate is 7/3 degree per hour
Part 2:
In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.
4 hours * 7/3 degree/hour = 28/3 degrees
Please answer!!!! And show work if possible!!!!!
Step-by-step explanation:
Triangles ABX and DCX are similar.
Since they are similar, AX/DX = AB/DC.
Hence AX/2.8 = 8/4 and AX = 5.6.
Find an equation for the line perpendicular to 4 x + 12 y = 96 and goes through the point ( − 3 , 4 ) . Write your answer in the form y = m x + b .
Answer:
y= 3/4x + 6.4
Step-by-step explanation:
If your teacher asks why it's so specific tell them you used desmos <3
what conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0
Answer:
x=-3
Step-by-step explanation:
If x=-3, then
x³+x²-2x+12=-27+9+6+12=-27+27=0
If this is true, then x+3 is a factor. So:
x³+x²-2x+12/x+3=x²-2x+4
So the factors of x³+x²-2x+12 are:
(x+3)(x²-2x+4)
((x²-2x+4) has no real roots)........
what method is this?
Simplify 12−3l+5(4−l)
Answer:
−8+32
Step-by-step explanation:
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