you have $4000 with which to build a rectangular enclosure with fencing. the fencing material costs $30 per meter. you also want to have two partitions across the width of the enclosure, so that there will be three separated spaces in the enclosure. the material for the partitions costs $25 per meter. what is the maximum area you can achieve for the enclosure? (round your answer to the nearest whole number.) incorrect: your answer is incorrect. m2
The enclosure can be as large as 606 m2 in total.
Given that,
Let x be length of y be width of enclosure
fencing material cost $ 30 / m
Partition material cost $25/m
Total cost = (x+x+y+y)x 30+(y + y) x 25
c= 60(x+y) + 50y = 60 x + 110 y
4000 = 60 x + 110y
y = ( 400 - 6x / 11)
Now,Area of enclosure = x*y
A = x*(400 - 6x / 11)
A'(x)= 400-12x/11
for maximum area A'(x) = 0
400 - 12x/11 = 0,12x = 400,x = 100/3
A " ( x) = - 12/11 < 0 i.e., maximum
y = 400 - 6( 400/12 ) = 200/11 m
Maximum area = xy = 100/3 * 200/11 = 20000/33
=606.0606
A max = 606m²
Hence, the maximum area you can achieve for the enclosure is 606m²
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-9 ( x + 6)= -9x + 108
Answer: 0=1620=162
PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!
in this exercise you are asked to approximate the growth of the world population using the logistic differential equation:
From the logistic population differential equation for approximate the growth of the world population , which is given here as [tex]P = L/1+ e^{-k(x-x_{0} )[/tex]
The general form of the logistic population equation is given as [tex]dP/dt = kP(1- P/L)[/tex]. While k is the relative growth rate, L is the carrying capacity.An ordinary differential equation with a logistic function as the solution is known as a logistic differential equation. Standard exponential functions do not account for the limitations that prevent infinite growth, but logistic functions correct this oversight. This is how bounded growth is represented by logistic functions. These contexts include machine learning, chess ratings, medical therapy (e.g., modelling tumour growth), economics, and even language adoption research.
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Tanks are used to deliver liquid fuel to a factory. each tank holds 22.5 cubic yards of fuel. the weight of 1 cubic yard of fuel is 0.74 tons. the fuel will be stored in containers that each holds 7.4 tons of fuel. how many containers of this size are needed to hold all the fuel from 12 tanks?
27 containers are needed to hold all the fuel from 12 tanks.
How do you prove that?We are given that each tank holds 22.5 cubic yard of fuel, the weight of 1 yd³ (cubic yard) of fuel is equal to .74 tons, and each container holds 7.4 tons of fuel. Solving this problem would involve converting units.
In order to find out how many containers of the size are needed to hold all the fuel from 12 tanks, first we need to find how much fuel is delivered by 12 tanks. Since 12 x 22.5 = 270, 12 tanks are used to deliver 270 yd³ of fuel.
Next we convert it to tons. Recall that 1 yd³ of fuel is equal to .74 tons. Therefore, 270 yd³ = 270 x .74 = 199.8 tons.
A container holds 7.4 tons of fuel. 199.8 ÷ 7.4 = 27, hence 27 containers are needed to hold all the fuel.
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Ramundo is shopping for a new pair of rollerblades. Roller World sells a pair of rollerblades for $94 regular price. Currently, the rollerblades are on sale for 15% off. Outdoor Adventures sells the same pair of rollerblades for $81.50 with no discount. The sales tax rate in Ramundo's city is 6%.
Part A
To get the better deal, Ramundo should buy the rollerblades from , 1 of 2.
Select Choice
.
Part B
In doing so, he will save , 2 of 2.
Select Choice
(after tax) over the other store.
Ramundo will get a better deal at Roller worlds.
This is a question of percentages.
Given that:-
Regular price of rollerblades at roller world = $ 94
Discount at rollerworld = 15 %
Price of rollerblades at Outdoor adventures = $ 81.50
Sales tax = 6 %
Price of rollerblades at roller world after discount = 94 - (15/100)*94 = 94 - 14.1 = $79.9
Price of rollerblades at roller world after sales tax = 79.9 + (6/100)*79.9 = 79.9 + 4.794 = $ 84.694
Price of rollerblades at outdoor adventures = $81.50
Price of rollerblades at roller world after sales tax = 81.50 + (6/100)*81.50 = 81.50 + 4.89 = $ 87.39
As,
$ 84.694 < $ 87.39
Ramundo will get a better deal at Roller worlds.
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PLEASE HELP!
4. The last couple of years in the winter season, Mrs. Blair has had to take many days off for one of her kids being sick. She has determined that each kid has a 63% chance of getting sick at some point in the winter months. She has 4 kids.
a) What is the probability that all her kids get sick this winter?
b) What is the probability that at least one kid will get sick this winter?
5. Challenge Problem: If A U B = S (Sample Space), P (A and B) = .25, P (A) = .35, then P(B) = ???
Step-by-step explanation:
4a)
that means all 4 events happen in combination as one event.
so, we have to multiply the probabilities of all 4 events.
that means
0.63⁴ = 0.15752961... ≈ 0.16
so, there is a 16% chance that all 4 children get sick.
in other words, the probabilty for that is about 0.16.
b)
the probabilty of at least 1 kids getting sick is the opposite of the probability of no kids is getting sick.
the probability of getting sick is 0.63, so the probability of not getting sick is 1 - 0.63 = 0.37.
the probability of no kids getting sick is similar to a)
0.37⁴ = 0.01874161 ≈ 0.02
the probabilty of at least one kid getting sick is the opposite of that :
1 - 0.01874161... = 0.98125839 ≈ 0.98
5)
A u B is the sample space. so, any possible event is either part of A or B or both.
that means
P(A') = 0.35 = 1 - P(A)
P(A) = 1 - 0.35 = 0.65
P(A and B') = P(of every A that is not B) = 0.25.
because P(A) = 0.65
that means that
P(A and B) = P(every A that is also B) =
= 0.65 - 0.25 = 0.4
P(B) = P(A') + P(A and B) = 0.35 + 0.4 = 0.75
FYI
we could have gotten this directly from
P(A and B') = P(of every A that is not B = everything that is only A) = 0.25.
because
P(A and B')' = P(of everything that is not "only A" = everything that is B) = P(B) = 1 - 0.25 = 0.75
Find the measures of angle PQR and angle PRQ in the triangle below.
Using the exterior angles theorem, the measures of the named angles are:
m∠PQR = 51°
m∠PRQ = 96°
What is the Exterior Angles Theorem?Based on the exterior angles theorem, the measure of the exterior angle of a triangle has an angle degree that is equal to sum of the interior angles of the triangle.
Therefore, the following equation would be set to find the value of x:
33 + 10x + 1 = 17x - 1
34 + 10x = 17x - 1
Combine like terms
34 + 1 = 17x - 10x
35 = 7x
35/7 = 7x/7
5 = x
x = 5
m∠PQR = 10x + 1 = 10(5) + 1 = 51°
m∠PRQ = 180 - (17x - 1) = 180 - (17(5) - 1) = 96°
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Tell whether x and y show a positive, negative, or no relationship
Answer:
negative, as the points are slowly making their way "down" the graph :)
What does 1.03 estimate to math
Answer:
provide context
Step-by-step explanation:
[tex]\frac{5\sqrt{7} }{\sqrt{35} }[/tex]
The simplified expression of the radical expression given as 5√7/√35 is 7
How to evaluate the expression?From the question, we have the following expression that can be used in our computation:
5√7/√35
The above expression is a fraction and at the same time it is a radical expression
The denominator of the fraction is √35
So, we start by rationalizing the expression by the fraction
This is represented as
5√7/√35 = 5√7/√35 * √35/√35
Evaluate the products of the numerator
So, we have the following representation
5√7/√35 = 5√245/√35 * 1/√35
Evaluate the products of the denominator
So, we have the following representation
5√7/√35 = 5√245/35
Simplify the fraction
This gives
5√7/√35 = √245/7
Simplify the fraction
5√7/√35 = 7√5/7
So, we have
5√7/√35 = 7
Hence, the simplified expression is 7
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Solve for the value of e.
Answer: e=
(9e-8)
(4e+6)
Submit Answer
posse
Answer:
Step-by-step explanation:
Expand: 36e^2+12e-48=e
Subtract e from both sides 36e^2+11e-48=0
Using the quadratic formula, e=(-11+-sqrt7033)/72
A chocolatier makes chocolate bon-bons in the shape of a sphere with a radius of 1.7 cm. The chocolate used in the bon-bons has a density of 1.32 g/cm^3 3 . If the chocolate used costs $0.03 per gram, how much would the chocolate for 190 bon-bons cost, to the nearest cent?
The cost of 190 bon-bons is $154.8
According to the question ,
The shape of chocolate bon-bons is Sphere
Radius of sphere = 1.7cm
Density = 1.32g/cm³
[tex]Volume \ of\ sphere = \frac{4}{3}\pi r^{3}\\[/tex]
[tex]Volume of chocolate bon-bons = \frac{4}{3}\pi (1.7)^{3}[/tex]
[tex]= \frac{4}{3}\pi (4.913)\\= 20.5795cm^{3}[/tex]
Weight of bon-bons = volume × density
weight = 20.5795 × 1.32
= 27.1649g
Given , the cost of chocolate = $0.03
then cost of bon-bons = 0.03 × 27.1649
= $0.81494
We have to find cost of 190 bon-bons.
Cost of 190 bon-bons = 190 × 0.81494
= $ 154.8
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39 Points, need this ASAP
If a = -9 and b = -4, what is the value of a + b ?
-5
5
13
-13
can somone help will mark u brainliest
Factorise fully
12m + 8m²
Answer:
Step-by-step explanation:
3.4.m+2.4.m.m
4m(3+2m)
is the drink proportinal?
The proportional of price of the drink to the number of ounces is 0.2.
In the given question we have to find the proportional of price of the drink to the number of ounces.
As given from the table that;
Drink Size (oz) 12 16 20
Price (dollars) 2.40 3.20 4.00
If we find the proportional of price of the drink to the number of ounces. Then;
Price of the drink/Number of drink = 2.40/12 = 3.20/16 = 4.00/20
Price of the drink/Number of drink = 0.2 = 0.2 = 0.2
So we can see that the proportional of price of the drink to the number of ounces is 0.2.
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Answer:
Yes it is proportional.
help meeeeeeeeeee pleaseeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
h = 289 feet
Step-by-step explanation:
Comment
You need two givens to use in the formula to solve for the third.
Formula
v = sqrt(2*g*h)
Givens
V = 136 ft/s
g = 32 ft/s^2
h = ?
Solution
v = sqrt(2*g*h) Put the givens into the formula.
136 = sqrt(2* 32 * h) Square both sides
136^2 = sqrt(2*32*h)^2 Expand
18496 = 64* h Divide by 64
18496/64 = 64*h/64
289 feet = h
So the object must fall 289 feet before it reaches 136 m/s
Tyshawn has $600 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $237.49.
He buys 3 bicycle reflectors for $14.57 each and a pair of bike gloves for $34.52.
He plans to spend some or all of the money he has left to buy new biking outfits
for $71.07 each.
●
●
Use the drop-down menu below to write an inequality representing o, the number of
outfits he can buy while staying within his budget.
Answer: The answer would be 4 biking outfits o=4
Step-by-step explanation:
First add all the money he spent excluding the outfits. The answer would be 315.72. Then subtract 600 and 315.72 = 284.28. Last multiply 71.07 by 4 which gets you 284.28. The EXACT amount he has left. Answer is he can be 4 new biking outfits within his budget. Hope I could help!
Solve the equation V = s³ for s.
Answer in the form s = .
[tex]{ \bold{ \sqrt[3]{V}}} [/tex]
Step-by-step explanation:
[tex]{ \green{ \sf{V = s³}}}[/tex]
Cube on both sides, then
[tex]{ \green{ \sf{s = \sqrt[3]{V}}}} [/tex]
my computer crashes on average once every 4 months. what is the probability that it will not crash in a period of 4 months.
The probability that a computer will not crash in a period of 4 months is 0.632.There is a 75% chance that the computer will not crash in a period of 4 months.
To solve this problem stepwise, first calculate the probability that the computer will crash in a given month. This can be done by using the Poisson distribution. The probability that the computer will crash in a given month is 0.0333.
Next, calculate the probability that the computer will not crash in a given month. This is simply 1 - 0.0333, or 0.9667.
Now, to calculate the probability that the computer will not crash in a period of 4 months, simply take the probability of not crashing in a given month and raise it to the 4th power. This gives us a probability of 0.632.
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Given the relation {(3,4),(-2,1),(0,6),
(5,-3)), what is the domain of the
relation? Pls help I’m stressing out about it and ik i SHOULDN’T but I can’t help it tbh
Answer:
I think that the answer is going to be 34-21+6=19
A person invested $440 in an account growing at a rate allowing the money to double every 8 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $2,860?
The time that It would take for the value of the account to reach $2,860 is; 21.6 years
How to solve compound interest problems?We are told that a person invested $440 in an account growing at a rate allowing the money to double every 8 years. Thus, the account balance can be modeled by the equation;
A = 440(2)^(t/8)
where;
A is final amount
t is in years
We want to find t when A = 2860. Thus;
2860 = 440(2^(t/8))
divide both sides by 440 to get;
6.5 = 2^(t/8)
log(6.5) = (t/8)log(2)
t = 8 * log(6.5)/log(2)
t ≈ 21.604
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Write the equation of the line that passes through the points (−3,−5) and (−2,−4). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
the probability that a new microwave oven will stop working in less than 2 years is 0.05. the probability that a new microwave oven is damaged during delivery and stops working in less than 2 years is 0.04. the probability that a new microwave oven is damaged during delivery is 0.10. given that a new microwave oven is damaged during delivery, what is the probability that it stops working in less than 2 years? responses 0.05 0.05 0.06 0.06 0.10 0.10 0.40 0.40 0.50
Option D is the right choice.
It is discovered through the use of conditional probability that there is a 0.4 = 40% chance that it will stop working in less than 2 years.
Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Conditional Probability:
P (B / A) = P (A∩B) / P (A)
Here:
P(B / A) is the likelihood that event B will occur in the absence of event A.
P (A∩B) is the likelihood that both A and B will occur.
P(A) denotes the likelihood that A will occur.
As per the question:
Event A: Delivery was harmed.
Event B: Fails to function after less than two years.
P (A) = 0.1 due to the probability of being damaged during delivery being 0.1.
P (A∩B) = 0.04 because there is a 0.04 likelihood that it will be damaged during the delivery and stop working.
The likelihood under the condition is:
P (B / A) = P (A∩B) / P (A) = 0.04 / 0.1 = 0.4
0.4 = 40% chance that it will stop working in under two years.
Therefore, option D is correct.
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3.13 test: congruence and constructions
Answer:
The angle-angle-side postulate. A.A.S
Step-by-step explanation:
Lines n and o are parallel and are cut by the transversal p.
What is the value of x?
Answer:
Step-by-step explanation:
here the alternally exterior angle sum property:
48°+(2x+2)°=180°
⇒2x+2°=180°-48°
⇒2x+2°=132°
⇒2x=130°
⇒x=65°
- 7 (x + 2) - x = 2
Please help!!!
Answer:
-2
Step-by-step explanation:
Answer:
x=-2
Step-by-step explanation:
distribute
-7x-14-x=2
-8x-14=2
+14. +14
-8x=16
/-8. /-8
x=-2
Hopes this helps please mark brainliest
Solve 6/k= cos 46°
Give your answer to 2 d.p.
Using quadratic formula x²-6x+8=0
Answer:
x = 4, 2
Step-by-step explanation:
Britney operates an orange juice stand. On Monday she used 3 bags of oranges. On Tuesday
she used 1/2 as many oranges as on Monday. How many bags of oranges did Britney use on
Tuesday?
Answer:
1.5
Step-by-step explanation:
3÷2=1.5