t a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 500 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by
A(n) = (500 + n)(10 − 0.01n)
where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
Answers
Answer: Grape production is maximized for 150 vines planted
Step-by-step explanation:
Related Questions
What is the m
R
(x + 2)°
(3x – 6°
S
Q
P
m
If a ray QT bisects ZPQR, what will be the measure of one of the resulting angles?
Answers
The value of measure ∠RQS would be,
⇒ ∠RQS = 48°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
A ray QT bisects ∠PQR.
Now, We get;
⇒ ∠PQR + ∠RQS = 180°
⇒ (3x - 6) + (x + 2) = 180
⇒ 4x - 4 = 180
⇒ 4x = 184
⇒ x = 46
Thus, The value of measure ∠RQS would be,
⇒ ∠RQS = x + 2 = 46 + 2 = 48°
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write an equation to solve for x what is the value of x will mark brainious this is very confusing for me
Answers
Answer:
equation: 3x - 2 + 4x - 9 + 3x - 9 = 180x = 20Step-by-step explanation:
add all internal angles
∠H + ∠I + ∠J = 180
where:
∠H = 3x - 2
∠I = 4x - 9
∠J = 3x - 9
plugin the values into the ∠H + ∠I + ∠J = 180 formula:
equation: 3x - 2 + 4x - 9 + 3x - 9 = 180
combine similar terms: 3x + 3x + 4x = 180 + 2 + 9 + 9
simplify: 10x = 200
divide 10 both sides: x = 20
2x-10 <80 Solve for x
Answers
Answer:
x<45
Step-by-step explanation:
Which of these numbers are perfect squares or perfect cubes? Select all that apply
A. 8
B. 16
C. 32
D. 64
E. 128
Answers
8 isn’t a perfect square because no whole number can be multiplied by itself twice to get 8. You can multiply 4 and 4 together and get 16z. You can multiply 8 and 8 together to get 64.
Joey has 25 candy bars and is addin 2 candy bars to his collection each day. How many days will it take him to reach 51 candy bars?
(yes I'm really dumb and yes I have one minute to turn this in as a major grade :))
Answers
Answer:
13 days
Step-by-step explanation:
51-25=26
26/2=13
3. A store manager reports that the mean grocery bill at her store on a Saturday is between
$28.25 and $36.75. To do this, she considered a random sample of customers that Saturday.
What was the sample mean? (Remember that the sample mean is the center of the confidence
interval). What was the margin of error?
Answers
Answer:
Hope you understand, and never stop striving to learn!
Step-by-step explanation:
The sample mean is both values added together then divided by 2.
$46.63
The margin of error is the low value divided by the high value * 100% =76.8% (then you have to minus this from 100% so the margin of error is 23.2%)
What is the average of these two values?
2 x 105 and 6 x 103
Answers
Answer:
the answer should be 414
Answer:
414
or
103.5
Step-by-step explanation:
If these are singular values and for example 2 x 105 does not mean two datasets of 105 and 6 x 103 doesnt mean six datasets of 103, then your average would be as follows
((2 x 105) + (6*103)) ÷ 2
The two being how many sets of values you have
This would be solved as follows
((210) + (618)) ÷ 2 =
(828) ÷ 2 = 414
So in this case it would be 414
However, if the two in 2 x 105 means two data sets of 105;
it would be the same steps of solving but with the ÷ 2 being replaced with ÷ 8 (2 + 6)
((2 x 105) + (6*103)) ÷ 8 =
((210) + (618)) ÷ 8 =
(828) ÷ 8 = 103.5
Hope this helps.
Daniel and Paul went exploring in the woods. On the first day Daniel saw 3 rabbits and Paul saw 8 deer. On the second day Daniel saw 4 rabbits and Paul saw 7 deer. On which day of hunting did Daniel and Paul catch a higher ratio of rabbits to deer?
Answers
Answer:
first day when they say 3 rabbits and 8 deers 3:8
Pls help i dont understand :( Will give brainliest + 25 Points!!
Answers
Answer:
Answer is A
Step-by-step explanation:
The slope of a line in an equation like this is the number right before x so if the slope must be -5/6 the the only sequence with that slop is A.
Answer:
A) y=-5/6+1
Step-by-step explanation:
You want to find the equation for a line that passes through the point (6,-4) and has a slope of -5/6.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -5/6. So you can right away fill in the equation for a line somewhat to read:
y=-5/6x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(6,-4). When x of the line is 6, y of the line must be -4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: b is what we want, the -5/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (6,-4).
So, why not plug in for x the number 6 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(6,-4). y=mx+b or -4=-5/6 × 6+b, or solving for b: b=-4-(-5/6)(6). b=1.
The equation of the line that passes through the point (6,-4) with a slope of -5/6
is
y=-5/6x+1
please answer for brainlesit
Answers
Answer:
(-3, -2) that is the answer please give me brainiest
Step-by-step explanation:
|2x+1| < 5
help please
Answers
Answer:
3
Step-by-step explanation:
Answer: x=2 and x=-3
Step-by-step explanation:
|2x+1|=5>|2x+1|=-5
2x+1=5 > 2x+1=-5
2x+1-1=5-1 > 2x+1-1=-5-1
2x=4 > 2x=-6
2x÷2=4÷2 > 2x÷2=-6÷2
x=2 > x=-3
A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes per order through bin location and routing optimization. You are given an opportunity visit an existing customer of the vendor. The customer allowed you to collect data for further analysis. You performed a time study and collected data about pick, pack ship duration of 25 shipments. Given, the data in the attached excel sheet
(Q1) perform a hypothesis testing by Use alpha=0.05 for hypothesis testing.
a. Stating your null and alternate hypotheses
b. Perform the proper hypothesis test and discuss your assessment of the vendor's claim.
Answers
Answer:
a
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
b
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 3 \ minutes = 180 \ seconds [/tex]
The sample size is n = 25
The excel sheet is show on the first uploaded image
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{156 + 136 + \cdots + 181}{25}[/tex]
=> [tex]\= x = 173.2 [/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x )^2 }{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (156 - 173.2 )^2 + (136 - 173.2 )^2 + \cdots + (181- 173.2 )^2 }{25} }[/tex]
=> [tex]\sigma = 24.261[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{173.2 - 180 }{\frac{24.261}{\sqrt{25} } }[/tex]
=> [tex] z = -1.40[/tex]
Generally p-value is mathematically represented as
[tex]p-value = P(Z < z)[/tex]
=> [tex]p-value = P(Z < -1.40)[/tex]
From the z-table
[tex]P(Z < -1.40) = 0.080757[/tex]
=> [tex]p-value = 0.080757 [/tex]
From the obtained value we that [tex]p-value > \alpha[/tex]
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
What is the average speed of a baseball that is thrown 90 feet in 2 seconds?
A. 180 feet/second
B. 45 feet/second
C. 92 feet/second
D. A variable most often found on the y-axis
Answers
To find out how fast it can go in 1 second, we divide it by 2
90 divided by 2 is 45, so the average speed of a baseball that is thrown 90 feet in 2 seconds is 45 feet/second
3. Which size package of pasta shown in the
table has the lowest unit price?
A. 3 oz
C. 16 oz
B. 8 oz
D. 32 oz
Size (oz) Cost ($)
3
0.99
8
2.59
16
5.69
32
11.89
Answers
Answer:D
Step-by-step explanation:
I divided all of them and d was the lowest unit rate
least common multiple
3/6 , 2/12
Answers
Answer:
6
Step-by-step explanation:
3,6,9.12
2,4,6,8,10,12
Without the aid of the Wronskian, determine whether the given set of functions is linearly independent or linearly dependent on the indicated interval.
a. f1(x) = ln x, f2(x) = ln x^5, (0, [infinity])
b. f1(x) = x^n, f2(x) = x^n + 2, n = 1, 2, \ldots, (−[infinity], [infinity])
c. f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])
d. f1(x) = cos(x + π), f2(x) = sin x, (−[infinity], [infinity])
Answers
Answer and Step-by-step explanation:
Solution:
(a) The function. f1(x) = ln x, f2(x) = ln x^5 is linearly independent or not.
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
Consider given function:
f1(x) = lnx f2(x) = lnx5
(b) Set of function f1(x) = x^n, f2(x) = x^n + 2, is linearly independent or not on the interval [-∞, ∞].
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
Consider the given function:
f1(x) = xn f2(x) = xn+2
(c) f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])
Function is not linearly independent.
Linear independent theorem states that two functions f1 and f2 are linearly dependent if one can represent as the constant multiple of other.
F1= n.f2
(d) f1(x) = cos(x + π), f2(x) = sin x. [-∞, ∞]
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
The given function:
f1(x) = cos(x + π)f2(x)
Find the slope of the line connecting the point (2,3) to the point (4,6)l
Answers
Answer:
2/3
I hope this helps :D
9514 1404 393
Answer:
3/2
Step-by-step explanation:
The slope is the "rise" (change in y) divided by the "run" (change in x).
m = (y2 -y1)/(x2 -x1)
m = (6 -3)/(4 -2) = 3/2
The slope is 3/2 = 1.5.
What is the answer to m<4
Answers
Answer:
124°
Step-by-step explanation:
Supplementary angles are when two angles add up to 180°
If angle 3 is 56° then you subtract
180 - 56 = 124
I need the answer plzz help me
Answers
Answer: A) a translation 3 units down
Step-by-step explanation: Notice how your y-values are decreasing by 3.
y-values only increase or decrease, so if they’re decreasing, they are going down.
Hope this helps!
Solve two-step equations
2 = 4s + –10 i need it ASAP
Answers
Answer:
s=3
Step-by-step explanation:
Answer:
s=3
Step-by-step explanation:
simplify the equation to the form, which is simple to understand
and then move all terms containing s to the left and all other terms to the right!
what is the meaning of this symbol^
Answers
Answer:
[tex]superscript, \:used\: to\: raise\: objects\: to\: power[/tex]
What is the slope of a line parallel to the line whose equation is 2x + y = 3. Fully
reduce your answer.
Answers
Answer:
m= -2
Step-by-step explanation:
Isolate the y into slope- intercept form 2x + y = 3 -> y = -2x+3
Parallel lines have the same slope, so the slope is -2.
The slope of a line parallel to the line whose equation is 2x + y = 3 is -2.
Given that, the equation of a line is 2x + y = 3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope of a line parallel to given line is m1=m2.
The given equation can be rewritten as y=3-2x
The standard form of an equation of a line is y=mx+c
Now, compare y=3-2x with y=mx+c, we get
Slope (m) = -2
So, slope of parallel to the line is m1=m2= -2
Therefore, the slope of a line parallel to the line whose equation is 2x + y = 3 is -2.
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Is this a function or not
Answers
Answer:
no its a not funtion
Step-by-step explanation:
bc 1 n 3 is reapeat
True or False? Complementary Angle’s are two angles that add up to 90 degrees
Answers
Answer:
True
Step-by-step explanation:
Definition of Complementary Angle’s
Helppppppppppppppppppp
Answers
Answer:
Step-by-step explanation: Second one but I'm not sure so wait till someone else answers if they don't then just guess or pick the second one but if it's wrong I'm extremely sorry .!
Answer:
option forth is mistake:
<DEB and <CBE are not corresponding angle. they are co interior angle.
the figure below consists of a rectangle and an equilateral triangle. What is the perimeter of the figure?
Answers
Answer: 28 in.
Step-by-step explanation:
The perimeter is the total distance around the entire figure. Because all the lengths of the sides are already given, you just have to add them all up.
P = 4 in. + 8 in. + 8 in. + 4 in. + 4 in. = 28 in.
Answer:
B
Step-by-step explanation:
edge 2021
Please help me be right! Ordered pairs
Answers
Answer:
the answer is C
Step-by-step explanation:
both the ordered pair satisfy the equation
Select the best answer for the question.
5. Solve the equation: 7x = 42.
O A.X=-7
O B.x=7
O C.x=-6
O D. x = 6
Answers
A ring-shaped region shown below. Its inner diameter is20 yd. The Width of the ring is 3 yd. Find the area. Of the shaded region.
Answers
9514 1404 393
Answer:
216.66 yd²
Step-by-step explanation:
One way to find the area of a ring like this is to multiply its centerline length by the width of the ring.
Here, the diameter of the circle that is the centerline of the ring is 23 yd. The circumference of that circle is ...
C = πd = 3.14(23 yd) = 72.22 yd
Then the ring area is ...
(72.22 yd)(3 yd) = 216.66 yd² . . . area of shaded region
what is 3(3x +2) = 9x-7
Answers
Answer:
No solutions
Step-by-step explanation:
3(3x + 2) = 9x + 7
9x + 6 = 9x + 7
9x - 9x = -6 + 7
0 = -1
No solutions
Hope this helps!