Answer:
$37
Step-by-step explanation:
To find the mean you add up all the numbers you are given and divide the result of that by the amount of numbers.
40+40+51+32+22=185
185/5=37
Farmer Grainger's square plot yields 350
bushels of grain. To Increase the yield,
Grainger invests in a circular sprinkler pivot to
irrigate a square plot of land. When he places
the sprinkler at the center of the field and
stretches the arm to half the field's length, he
estimates that the sprinkler will triple the yield
over the irrigated circular area, even though
some land will not be irrigated.
Answer:
a) The yield for the circular area is the triple of the original yield so it is 1,050 bushels.
Average yield for the square plot= 899 bushels.
b) The ratio of irrigated area to the total area of the square plot is the same if we put the sprinkler in the center (with half side as the ratio) or in the corner (with ratio of the side of the square).
Step-by-step explanation:
The arm of the sprinkler goes half the length of the square plot, so the area irrigated is the circumscribed circle. See the picture attached (irrigated area).
The yield will triple in the irrigated area and the same as before in the non-irrigated area. The irrigated area is the area of the circle with radius equal to half the side of the square.
[tex]Y_c=3Y_0=3\cdot350=1,050[/tex]
The non-irrigated area is the area of the square less the area of the circle.
We can calculate the yield as:
[tex]Y=\dfrac{(3Y_o)\cdot A_c}{A_s}+\dfrac{Y_0(A_s-A_c)}{A_s}[/tex]
where Y0: original yield (350 bushels), Ac: area of the circle, and As: area of the square.
The ratio between the area of the circle and the area of the square is:
[tex]\dfrac{A_c}{A_s}=\dfrac{\pi r^2}{l^2}\\\\\\r=l/2\\\\\\\dfrac{A_c}{A_s}=\dfrac{\pi (l/2)^2}{l^2}=\dfrac{\pi l^2}{4l^2}=\dfrac{\pi}{4}\approx0.78[/tex]
We can now solve for the yield:
[tex]Y=\dfrac{(3Y_o)\cdot A_c}{A_s}+\dfrac{Y_0(A_s-A_c)}{A_s}\\\\\\Y=3Y_0\dfrac{\pi}{4}+Y_0(1-\dfrac{\pi}{4})=Y_0\left(\dfrac{3\pi}{4}+1-\dfrac{\pi}{4}\right)=Y_0\left(\dfrac{\pi}{2}+1\right)\\\\\\Y\approx2.57Y_0=2.57\cdot350=899.5[/tex]
b) If the arm is located in one corner of the square and the arm has a length of the side of the square, we have an irrigated area that is a quarter of a circle with radius l.
We can calculate the proportion of irrigated area in the square plot, and if it is bigger than the proportion of irrigated area when we have the sprinkler in the center (proportion of 0.78 of irrigated area), then it is better to put the sprinkler in the corner.
The ratio of the irrigated area to the total area is:
[tex]\dfrac{Aq}{A_s}=\dfrac{\pi r^2/4}{l^2}\\\\\\r=l\\\\\dfrac{Aq}{A_s}=\dfrac{\pi l^2/4}{l^2}=\dfrac{\pi}{4}\approx 0.78[/tex]
The ratio of irrigated area to the total area of the square plot is the same if we put the sprinkler in the center (with half side as the ratio) or in the corner (with ratio of the side of the square).
2 ( 3 x 4) - 10 + 14/2 = 21
true or false
Answer:
true
Step-by-step explanation:
100 POINTS PLEASE ANSWERR THESE 2 QUESTIONS I CANT FAIL SUMMER SCHOOL
Answer:
question 7 is 9
question 8 is 11
Step-by-step explanation:
7) the square root of 81 is 9
8) the square root of 25 is 5 and the square root of 36 is 6
5+6=11
Answer:
7) 9
8) 11
Step-by-step explanation:
√81=9
√25=5 √36=6
5+6=11
What’s the correct answer for this?
Answer:
FIRST option is the correct answer
Step-by-step explanation:
First option is the correct answer.
[tex] (x+11)^2 + (y+ 6)^2 = 324\\
(x+11)^2 + (y+ 6)^2 = 18^2 \\[/tex]
Equating it with:
[tex] (x-h)^2 + (y-k)^2 = r^2 \\
- h = 11\implies h = - 11\\
- k= 6\implies k = - 6\\
Center = (-h, \: - k) = (11,\: 6)\\
r^2 = 18^2 \\
Radius= 18\: units [/tex]
An appliance store decreases the price of a 19-in. television set 25% to a sale price of $ 474.75 . What was the original price?
Answer:
$633.00
Step-by-step explanation:
Decreasing the price 25% makes the new price be 75% of the original:
$474.75 = 0.75×(original price)
original price = $474.75/0.75
original price = $633.00
Several transformations of the function f(x2)=x2 are shown below. For which graph is k=3
Answer: I am pretty confident that the answer to your question is kf(x).
Step-by-step explanation: SO in the graph of f(x) = x^2, one of the coordinates is (1,1). And in the graph of kf(x), it changes to (1,3).
The perimeter of a square garden is 52 feet. What is the length of each side?
Answer:
13
Step-by-step explanation:
13*4=52
Find an equation equivalent to r = 10 sinθ in rectangular coordinates
Answer:
[tex]x^{2} + y^{2} - 10\cdot y = 0[/tex]
Step-by-step explanation:
The following expressions are used to transform from polar into rectangular form:
[tex]r = \sqrt{x^{2}+y^{2}}[/tex]
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]
Now, the variables are substituted and equation is finally simplified:
[tex]\sqrt{x^{2}+y^{2}} = 10\cdot \frac{y}{\sqrt{x^{2}+y^{2}} }[/tex]
[tex]x^{2}+y^{2} = 10\cdot y[/tex]
The equivalent equation in rectangular coordinates is:
[tex]x^{2} + y^{2} - 10\cdot y = 0[/tex]
Solve for x: 1/2(6x - 10) = 2x - 7
Answer:
X=-2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/2(6x-10)=2x-7
(1/2)(6x)+(1/2)(-10)=2x+-7(Distribute)
3x+-5=2x+-7
3x-5=2x-7
Step 2: Subtract 2x from both sides.
3x-5-2x=2x-7-2x
X-5=-7
Step 3: Add 5 to both sides.
X-5+5=-7+5
X=-2
Hope this helps
What is the domain of the function
f(x) =
1/3x+2
Answer:
x=-6
Step-by-step explanation:
substitute f(x)=0
0=1/3x+2
solve for x
x=-6
Answer:
x >= -6
Step-by-step explanation:
edg 2020
NEED THIS ASP!!!!!!!!!!!!!!!!!!!!!!! Which inequality represents the sentence?
The sum of negative 3.2 and 1.5 times a number is a maximum of 8.6.
–3.2n + 1.5 Less-than-or-equal-to 8.6
–3.2n + 1.5 Greater-than-or-equal-to 8.6
–3.2 + 1.5n Less-than-or-equal-to 8.6
3.2 + 1.5n Less-than-or-equal-to 8.6
Answer: c, -3.2 + 1.5n less-than-or-equal-to 8.6
Step-by-step explanation:
I got it right on the quiz
Answer:
the answer is c
Step-by-step explanation:
just did the assignment got 100%
[tex]y = \frac{(190)^{3} {68^{2} } \times ( \frac{34}{95}^{ \frac{19}{3} } [/tex]
plz help me solve this question.
Answer:
[tex]\dfrac{\sqrt[3]{95^2}}{17\cdot95^4}=\dfrac{\sqrt[3]{9\,025}}{1\,384\,660\,625}[/tex]
Step-by-step explanation:
The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)/(a^c) = a^(b-c)
__
[tex]\dfrac{190^3}{68^2}\times\dfrac{34}{95^{\frac{19}{3}}}=\dfrac{(2\cdot 95)^3}{(2\cdot 34)^2}\cdot\dfrac{34}{95^6\cdot 95^{\frac{1}{3}}}=2^{3-2}95^{3-6-\frac{1}{3}}34^{1-2}\\\\=2\cdot 95^{-3\frac{1}{3}}\cdot 34^{-1}=2\cdot 95^{-4+\frac{2}{3}}\cdot 34^{-1}\\\\=\dfrac{2\sqrt[3]{95^2}}{95^4\cdot 34}=\dfrac{\sqrt[3]{95^2}}{17\cdot95^4}\\\\=\dfrac{\sqrt[3]{9\,025}}{1\,384\,660\,625}[/tex]
the answers are
a) 1°
b)14°
c)24°
d)31°
Answer:
b) 14°
Step-by-step explanation:
To solve this, you need to make an equation. since a line is equal to 180°, you can add the two angles together. for example, x+96+5x=180. you would write this because these two angles are on a line, which makes the total sum 180°. now you solve: 6x+96=180. 6x=84. x=14°. :)
Answer:
14
Step-by-step explanation:
if 20%of people like skittles and 20 people were surveyed how many of them liked skittles
Answer:
4
Step-by-step explanation:
20x.2 or 20x(1/5)
Answer:
4
Step-by-step explanation:
What is another way to say 345 centimeters?
345 cm
345 cg
345 mm
34.5 dl
345 cm
this is because cm is the abbreviation of centimeters.
Out of 120 students at a pep rally 15 did not wear green. What percent of students at the rally did wear green
Answer:
87.5%
Step-by-step explanation:
First we find the number of students that did wear green which is 120-15=105. Then we need to find what percentage of these students who did wear green so we divide 105 by 120 which is .875. To find this number in percent form, we multiply this number by 100 which gives us 87.5%.
Answer:
87.5%
Step-by-step explanation:
Hope this helps have a wonderful day
Cos x if sin x cot x =5
Answer:
cos x = 5
Step-by-step explanation:
[tex] = > sinx.cotx = 5 \\ \\ = > \cancel{sinx}. \frac{cosx}{ \cancel{sinx}} = 5 \\ \\ = > cosx = 5[/tex]
Select all that apply
Answer:
The answer to this is both (3,0) and (0,-3). C and B
Step-by-step explanation:
This is because the points in which these two graphs meet is the solution of equations.
Please mark me Brainliest!
What’s the radius of a circle with a 4 inch diameter
Answer:
The radius of the circle with 4 inch diameter is 2 inches
Step-by-step explanation:
This is the formula here:
d = 2r
The radius is solved here:
r = [tex]\frac{d}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2 inches
Mr. Wilson wants to build a square roof for his square deck in the back yard.
The roof will be 12 feet long on each side. He uses the formula (A = s) to
find the area of the roof. What will be the area of the square roof on Mr.
Wilson's deck? (give only the number value of your answer) *
Answer:
The area of the square roof is 144 square feet.Step-by-step explanation:
Givens
He wants to build a square roof.The roof will be 12 feet long.We know that the area of a square is
[tex]A=s^{2}[/tex]
Where [tex]s=12 \ ft[/tex], according to the problem.
Replacing this value, we have
[tex]A=(12 \ ft)^{2} =144 \ ft^{2}[/tex]
Therefore, the area of the square roof is 144 square feet.
Answer: the area of the roof is 144 feet squared for each side (up and down), adding to a total of 288 ft^2
Step-by-step explanation:
If the roof is a square with a side lenght L = 12 feet, then we use the fact that the area of a square is equal to the square of the side lenght of the square, this is:
A = L^2 = (12 ft)^2 = 144 ft^2
Now, Mr. wilson uses the equation A = s, this is because the roof has 2 surfaces, one up and one bottom, then the total area is 2 times the value that we find earlier:
2*144 ft^2 = 288 ft^2
After each charging, a battery is able to hold only 96% of the charge from the previous charging. The battery was used for 10 hours on its first charge before it had to be recharged. What is the total number of hours the battery can be used over its lifetime?
Answer:
250 hours
Step-by-step explanation:
The first charge is 10 hours, the second charge is 10(0.96) hours, and so on -- the total of these two is 10+10(0.96) and we need to keep adding our battery usage up until there is no more battery. The third one is 10(0.96)*(0.96), or 10(0.96)².
This can be seen as a geometric series, with 10 as the first tern, or a, and 0.96 as the common ratio, or r. The sum of this is
[tex]a\frac{1-r^{n}}{1-r}[/tex], with n being the number of terms. Since 0.96 to the power of n never actually reaches 0 no matter how high n goes if the number is not infinite, we can say n is infinity. As r^n is really close to 0 when n equals infinity (so close that, for our purposes in this equation, we can just assume it's 0), our equation is then
[tex]10\frac{1}{0.04} =10*25=250[/tex]
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. [tex]F(x) = -x^2 - 3[/tex]
Step-by-step explanation:
The function, F(x), has flipped over the x-axis (as seen) meaning that the function has to have a negative sign in front. The function has also shifted downwards 3 units, meaning that 3 has to have been subtracted from the function.
This makes "C," the correct answer, as it fulfills these requirements.
Jordan is watching the action movie
Answer: Jordan is sad about how the story ends
Step-by-step explanation:
The story is sad
Jordans POV
Aaron is building a brick wall. The wall will need 1025 bricks.the weight of each brick is 2.89 kg. Aaron will pay a delivery charge if the total weight of bricks is over 2500kg
Answer:
he will pay
Step-by-step explanation:
2962.25 is the total weight of the bricks
Determine whether the conjecture is true or false. Give a counterexample for any false conjecture.
Conjecture:
Answer: true
Step-by-step explanation:
Which point on the number line represents the product (5) (negative 2) (negative 1)?
Answer:
10 (positive 10)
Step-by-step explanation:
5 times -2 is equal to -10.
-10 times -1 is equal to 10.
Answer:
postive 10
Step-by-step explanation:
Each turkey meatball uses 0.3 pounds of ground turkey. How many meatballs can you make with 8.1 pounds of ground turkey.
Answer:
You can make 27 meatballs.
Step-by-step explanation:
if you add keep subtracting 8.1 by 0.3, then you subtract 27 times to get 0, so you can make 27 meatballs.
A train traveling through Japan has 909090 passengers.
525252 passengers get off in Tokyo. In Yokohama, another 292929 passengers get off the train.
How many passengers are still on the train?
Answer:
9
Step-by-step explanation:
After 81 passengers get off, only 9 passengers remain on the train of the original 90.
Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside. The city route is shorter in miles, but has more stoplights. The country route is longer in miles, but has only a few stop signs and stoplights. Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.
Country Route - 17, 15, 17, 16, 18
City Route - 18, 13, 20, 10, 16
It is important to Jean to arrive on time for her classes, but she does not want to arrive too early because that would increase her parking fees.
A) Based on the data gathered, which route would you advise her to choose?
Answer:
We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.
Step-by-step explanation:
We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.
Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.
Country Route - 17, 15, 17, 16, 18 (in minutes)
City Route - 18, 13, 20, 10, 16 (in minutes)
Now, we have to decide which route is better for Jean to go to college.
As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.
While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.
Hence, we would advise her to choose Country route.
ana wants to earn 88 percent in her chemistry class she has one quiz left to take on the first 5 quizzes she received a 74 percent a 92 percent and a 83 percent and 100 percent what must she score on the 6th quiz to get the 88 she wants?
Answer: 91
Step-by-step explanation: I assume you had a typo and mean what did Ana need on the 5th quiz since you only listed 4 quiz scores.
(74 + 92 + 83 + 100 + x)/5 = 88
(349 + x)/5 = 88
((349 +x)/5) x 5 = 88 x 5
349 + x = 440
x = 440-349
x = 91