Answer:
133 fishes
Step-by-step explanation:
Units of food A = 400 units
Units of food B = 400 units
Fish Bass required 2 units of A and 4 units of B.
Fish Trout requires 5 units of A and 2 units of B.
i. For food A,
total units of food A required = 2 + 5
= 7 units
number of bass and trout that would consume food A = 2 x [tex]\frac{400}{7}[/tex]
= 114.3
number of bass and trout that would consume food A = 114
ii. For food B,
total units of food B required = 4 + 2
= 6 units
number of bass and trout that would consume food B = 2 x [tex]\frac{400}{6}[/tex]
= 133.3
number of bass and trout that would consume food B = 133
Thus, the maximum number of fish that the lake can support is 133.
Find the work done by the gas for the given volume and pressure. Assume that the pressure is inversely proportional to the volume. (See Example 6.) A quantity of gas with an initial volume of 2 cubic feet and a pressure of 1000 pounds per square foot expands to a volume of 3 cubic feet. (Round your answer to two decimal places.)
810.93
Step-by-step explanation:Let the pressure be given by P and the volume be V.
Since pressure is inversely proportional to volume, we can write;
P ∝ [tex]\frac{1}{V}[/tex]
=> P = [tex]\frac{c}{V}[/tex] -------------(i)
Where;
c = constant of proportionality.
When the volume of the gas is 2 cubic feet, pressure is 1000 pounds per square foot.
V = 2 ft³
P = 1000lb/ft²
Substitute these values into equation (i) as follows;
1000 = [tex]\frac{c}{2}[/tex]
=> c = 2 x 1000
=> c = 2000 lbft
Substituting this value of c back into equation (i) gives
P = [tex]\frac{2000}{V}[/tex]
This is the general equation for the relation between the pressure and the volume of the given gas.
To calculate the work done W by the gas, we use the formula
[tex]W = \int\limits^{V_1}_{V_0} {P} \, dV[/tex]
Where;
V₁ = final volume of the gas = 3ft³
V₀ = initial volume of the gas = 2ft³
Substitute P = [tex]\frac{2000}{V}[/tex], V₁ = 3ft³ and V₀ = 2ft³
[tex]W = \int\limits^{3}_{2} {\frac{2000}{V} } \, dV[/tex]
Integrate
W = 2000ln[V]³₂
W = 2000(In[3] - ln[2])
W = 2000(0.405465108)
W = 810.93016
W = 810.93 [to 2 decimal places]
Therefore, the work done by the gas for the given pressure and volume is 810.93
What is the value of x?
Answer:
B.35 is the value of x in the figure
Suppose that a population parameter is 0.3, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values? O A. 0.4 O B. 0.1 O C. 0.3 O D. 0.2 SUBMIT
Using the Central Limit Theorem, it is found that the mean of the sample proportions would approach 0.3, hence option C is correct.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, we have that the parameter is p = 0.3, hence the mean of the sample proportions would approach 0.3 and option C is correct.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
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using factoring what is the solution to the equation 2x^2+3x-5=0
Answer:
Option B. ( x=1,-5/2 Or x=-5/2,1)
Step-by-step explanation:
2x2+3x−5=0
Step 1: Factor left side of equation.
(2x+5)(x−1)=0
Step 2: Set factors equal to 0.
2x+5=0 or x−1=0
x=−5/2 or x=1
(The Answer you can just switch it around but dont worry its still the same answer nothing change...)
Which is the solution to the equation below? 4n+5=25-3n
Answer:
[tex]n = \frac{20}{7}[/tex]
Step-by-step explanation:
[tex]4n + 5 = 25 - 3n\\4n + 3n = 25 - 5 \\7n = 20\\\\n = \frac{20}{7}[/tex]
Answer:
n = 20/7
Step-by-step explanation:
4n+5=25-3n
Add 3n to each side
4n+3n+5=25-3n+3n
7n +5 = 25
Subtract 5 from each side
7n+5-5=25-5
7n = 20
Divide by 7
7n/7 = 20/7
n = 20/7
Given: RE = 2AR and RT = 2GR
Prove : ∆GAR ~ ∆TER
Answer:
Statement:- Reason:-
RE=2AR GivenRT=2GR---------
∠DRA≅∠TRE Vertical angles---------
RE/AR=RT/GR proportionality of sides---------
ΔGAR≈ΔTER SAS similarity theorem -------------------------Hope it helps...Have a great day!!PLEASE HELP !!!! WILL MARK BRAINLIEST
Write the equation of the line in fully simplified slope-intercept form.
2
-12-11-10-9-8-7-5-4-3-2-1
1 2 3 4 5 6 7 8 9 10 11 12
Answer:
[tex]Equation : \ y = \frac{4}{5}x + 4[/tex]
Step-by-step explanation:
To find equation of a line we will consider two points through which the lines passes .
Let it be ( -5 , 0 ) and ( 0 , 4 )
Step 1 : Find the slope
[tex]slope , m = \frac{y_2 - y_1}{x_2-x_1} = \frac{0-4}{-5-0} = \frac{-4}{-5} = \frac{4}{5}[/tex]
Step 2 : Equation of the line
[tex](y - y_1) = m(x - x_1) \\\\or \\\\(y - y_2) = m (x -x _2)[/tex]
We will use the second point ( 0. 4)
[tex](y - 4) = \frac{4}{5}(x - 0)\\\\y = \frac{4}{5}x + 4[/tex]
31. The length of a rectangle is 2 meters less than
three times the width. What is the maximum
integer value of the length if the perimeter is
less than 43 meters?
Answer:
l=15
Step-by-step explanation:
let length=l
width=w
l=3w-2
w=(l+2)/3
Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43
2(4l+2)≤129
8l+4≤129
8l≤125
l≤125/8
so l=15
________________
P=2(l+w)=2(3w-2+w)=8w-4≤43
8w≤47
w≤47/8
l≤141/8-2
l≤125/8
l=15
A square park has an area of 1/16 square miles and a length of 1/4 mile. What is
the width of the park?
Explanation:
A square has all four sides the same length. So the length and width are the same.
We can see that (length)*(width) = (1/4)*(1/4) = 1/16 square miles.
If you wanted, you could solve for W in (1/4)*W = 1/16 and you should get W = 1/4.
Find the x-intercept and the y-intercept of the graph equation 7x +3y =21 type a integer
Answer:
7(y intercept)
Step-by-step explanation:
y = mx +c form
y = 21-7x/3
c = 21/3 = 7(y intercept)
x i have no idea
To find x-intercept ,put y= 0 in the given eqn
So, 7x+3(0) = 21
=> 7x =21
=> x= 21/7 = 3
x-intercept = 3
Similarly, to find y-intercept put x=0 in the given eqn
So ,7(0)+3y=21
=> 3y=21
=> y= 21/3 = 7
y-intercept = 7
will mark brainliest
Answer:
(x, y) = (-2,-5)
Step-by-step explanation:
Multiply the first equation by 3,and multiply the second equation by 1.
3(3x+y=−11)
1(4x−3y=7)
Becomes:
9x+3y=−33
4x−3y=7
Add these equations to eliminate y:
13x=−26
Then solve13x=−26for x:
13x=−26
13x
13
=
−26
13
(Divide both sides by 13)
x=−2
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
3x+y=−11
Substitute−2forxin3x+y=−11:
(3)(−2)+y=−11
y−6=−11(Simplify both sides of the equation)
y−6+6=−11+6(Add 6 to both sides)
y=−5
Answer:
x=−2 and y=−5
What is the slope of the line below? Pls help asap
Answer:
D. -2/7
Step-by-step explanation:
if the sum of five consecutive even integers is 740 what is the largest value of this
9514 1404 393
Answer:
152
Step-by-step explanation:
The third one is their average, so is 740/5 = 148. The largest is 4 more than that, so ...
the largest value of the group is 152
_____
The numbers are 144, 146, 148, 150, 152.
The largest number when sum of five consecutive even integers is 740 is 152.
What is consecutive numbers?Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Example: 1,2,3,4,5,6
1,3,5,7,9,11
2,4,6,8,10,12
Difference between nearer numbers always equal
Given,
There are 5 consecutive even integers.
Then difference between each nearer number is 2
Let the first number be x
Then another 4 numbers be
(x + 2), (x + 4), (x + 6), (x + 8)
Now
According to question
(x + x + 2 + x + 4 + x + 6 + x + 8) = 740
5x = 740 - 20
x = 144
And the highest number is x + 8 = 152
Learn more about Numbers:
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Please help! 15 points!
Suppose the sample space for a continuous random variable is 0 to 200. If the area under the density graph for the variable from 0 to 50 is 0.25, then the area under the density graph from 50 to 200 is also 0.25. O A. True B. False SUBMIT
Answer:
I guess it's False...Hope it helps you.
Answer:
true
Step-by-step explanation:
find the measurement of angle RST
Answer:
Angle RST is nowhere to be found
Step-by-step explanation:
Help us help you. Please include enough information to answer your question.
The following cylinder has a height of 7.2 in. and diameter of 6.8 in.
Cylinder with measures described in text.
What is the volume of the cylinder? Remember, the diameter of a circle is two times its radius.
Use 3.14 for π and round your answer to the nearest tenth.
Answer:
598.16
Step-by-step explanation:
Eh you should have the formula if not I can't really type it but ,trust, the answer is 598.16 in²
Answer:
261.3 in.
Step-by-step explanation:
The average height of corn stalks in a field is 71 inches with a standard deviation of 4.3 inches. Sketch a normal curve labeling the horizontal axis at one, two, and three standard deviations from the mean.
Answer:
The answer is below
Step-by-step explanation:
The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.
Given that:
mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches
One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)
Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)
Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)
The graph is attached
The serum cholesterol levels (in mg/dL) of 18 individuals are
220, 203, 211, 191, 257, 259, 242, 218, 186, 298, 228, 201, 206, 240, 189, 198, 247, 222
Find the 25th and 90th percentile s for these cholesterol levels.
Answer:
228 and 222
Step-by-step explanation:
HELPPP ME PLSSSS
I NEED THIS FOR MY CLASS
Answer:
hii im looking at the same thing you just have to do the multiplication on that
Step-by-step explanation:
`Please help me with this 4/5v = - 8/7
URGENT HELP! Graph and indicate the 3rd Critical Point
Drag each value to the correct location on the equation. Each value can be used more than once, but not all values will be used.
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
Answer:
(xou)2
Step-by-step explanation:
A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.
What is the slope of the line through (-5, -10) and (-1, 5)
Answer:
Slope = 15/4
Step-by-step explanation:
Use the slope formula and you'll get the same answer.
Hope this helps:)
a deli employee can make a sandwhich in 6 minutes.she works for 84 minutes.how many sandwhiches can she make
Answer:
14
Step-by-step explanation:
84/6
if someone can explain this it would really help.
Answer:
6
Step-by-step explanation:
KL = 26-(11+9) = 26-20 =6
Answer:
KL is 6
Step-by-step explanation:
IL is 26, IJ = 9 JK= 11
IL= IJ + JK + KL
26= 9 + 11 + KL
Rearrange
KL= 9 + 11 - 26
= 6
Need help before 7:00
Answer:
Area of circle = 465.82 cm²
Step-by-step explanation:
Given the following data;
Circumference of the hub cap = 76.49 cm
Pie, π = 3.14
To find the area of the hub cap;
First of all, we would determine the radius of the hub cap.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Where:
C is the circumference of a circle.
r is the radius of a circle.
C = 2πr
76.49 = 2 * 3.14 * r
76.49 = 6.28r
Radius, r = 76.49/6.28
Radius, r = 12.18 cm
Next, we find the area of the hub cap;
Area of circle = πr²
Area of circle = 3.14 * 12.18²
Area of circle = 3.14 * 148.35
Area of circle = 465.82 cm²
However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.
I need help with this
PLS HELP For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6 cubic inches of chocolate. Dorothy
plans to make chocolate pyramids with a square base of 1 square inch and a height of 2 inches. What is the largest number of pyramids she can make from the 20
bars of chocolate?
A.
180
Св.
240
OC
450
OD
520
E.
580
Answer:
180
Step-by-step explanation:
Answer:
Step-by-step explanation:180
Evaluate the statistics expression:39C1
========================================================
Explanation:
You can use the nCr formula shown below
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where n = 39 and r = 1. However, you could also use the identity
[tex]_n C _{1} = n[/tex]
which basically says there are n ways to pick 1 item if you are given a choice of n items. In this specific case, we have 39 items total, and there are 39 ways to pick one item.
