Answer:
(a): x = 125 yards.
(c): x = 170 yards.
Step-by-step explanation:
Given
[tex]f(x) = x(200 - x)[/tex]
[tex]x = length\\\\[/tex]
[tex]f(x) = area[/tex]
Required
Determine the possible length
For a length to be possible or usable, the calculated area must be greater than 0.
(a): x = 125 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 125 for x
[tex]f(125) = 125 * (200 - 125)[/tex]
[tex]f(125) = 125 * 75[/tex]
[tex]f(125) = 9375[/tex]
(b): x = 200 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 200 for x
[tex]f(200) = 200 * (200 - 200)[/tex]
[tex]f(200) = 200 * 0[/tex]
[tex]f(200) = 0[/tex]
(c): x = 170 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 170 for x
[tex]f(170) = 200 * (200 - 170)[/tex]
[tex]f(170) = 200 * 30[/tex]
[tex]f(170) = 6000[/tex]
(d): x = 225 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 225 for x
[tex]f(225) = 200 * (200 - 225)[/tex]
[tex]f(225) = 200 * (- 25)[/tex]
[tex]f(225) = -5000[/tex]
(e): x = 210 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 210 for x
[tex]f(220) = 200 * (200 - 210)[/tex]
[tex]f(220) = 200 * (- 10)[/tex]
[tex]f(220) = -2000[/tex]
From the above calculations, only values of x that are 125 and 170 makes the function true
Joe's paint company is making purple paint. The table below shows the amount of red paint to the amount of blue paint in the mixture write on equation that could be used to determine the number of cups of blue point for ony number of cups of red paint
Answer:
for every 4 cups of blue paint there is 1 cup of red paint 4:1
Step-by-step explanation:
Hope this helps :D please mark brainliest
landscape designer has 4/5 ton of mulch to divide equally among 8 customers. how much mulch will each customer get?
Answer:
1/10
Step-by-step explanation:
4/5x1/8=4/40=1/10
Andrea's dad ran 12 miles and 75 minutes on a treadmill if he runs at that rate how far could he run in 30 minutes
Answer: 187.5
Step-by-step explanation: Divide 75 by 12 to get 6.25 then multiply that by 30 to get 187.5.
Step1. Formulate two real-life problems involving system of linear inequalities in
two variables.
Step2. Solve the problems you formulated accurately. Show complete solution then
graph.
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A snail crawls 9 millimeters per second. How many centimeters can it crawl in 50 seconds?
Answer:
450 millimeters
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
xy(a²+1) - a(x²+y²)
Please help me
Answer:
a^2 xy+xy-ax^2-ay^2
Step-by-step explanation:
Are these correct please help
Answer:
x=x+1 is correct, -6x=-5(x-1)-1x is correct, 7(x-5)=x+13 is correct, x=x is correct, x+4=x+4 is correct.
5(x+2)=25 should go in one solution.
2x+2=2(x+1) should go into infinite solutions.
2x+3=2x+5 should go into no solution.
9x+1=9x should go into no solution.
2x+8=16 should go into one solution.
3x+1=31 should go into one solution.
Step-by-step explanation:
Explanation(s):
5(x+2)=25:
One value of x will equal 25, which is 3. You can solve this in two ways, calculations or graphing. I will show you both ways. You'll get 5x+10 from 5(x+2). Then you can subtract ten from both sides to isolate x, 5x=15. Then divide both sides by five to find what x equals, which is three. By graphing both the equations 5x+10 and y=25, you'll find that both of the lines intersect at (3,25), the x value of the coordinate is what x will equal, and there's only one intersection so there's only one solution.
2x+2=2(x+1):
The equation will be the exact same on both sides, which means all values of x will be a solution. If you were to graph both equations, they'd overlap perfectly, resulting in an infinite amount of intersections.
2x+3=2x+5:
The equation cannot be simplified any further, and 2x+5 is transformed two units above the equation 2x+3. If you were to graph both of these equations, they will never intersect for any value of x, which means no solutions.
9x+1=9x:
The equation cannot be simplified any further, and 9x+1 is transformed one unit above the equation 9x. If you were to graph both of these equations, they will never intersect for any value of x, which means no solutions.
2x+8=16:
Subtract eight from both sides, then divide both sides by two to get x=4. This means that there is only one solution for the equation. Alternatively, you could graph 2x+8 and y=16, and they will intersect at the point (4,16), which is only one solution.
3x+1=31:
Subtract one from both sides, divide by three to get x=10. There is only going to be one solution for the equation. Graph 3x+1 and y=31 to find that both the lines intersect at (10,31).
you buy a shirt that costs 9.99 dollars what is the price with a tax sales is 6 percent
Answer:
$10.59
Step-by-step explanation:
6% of 9.99 is 0.5994, so you round it to 0.60, then add it to 9.99.
Game stop buys a game for $28 and marks the game up 64%. How much will you pay for the game?
Explain it and answer it please.
Need a problem showing how to to divide beach toys into equal groups. Solve it too.
Answer:
ok
Step-by-step explanation:
3
Solve for x.
-2x + 6 + 4x = -12
simply and write in exponential form
(1) p2*p-7
Answer:
[tex] {p}^{2} \times {p}^{( - 7)} = {p}^{(2 - 7)} = {p}^{ - 5}[/tex]
is the right answer.
Please help!! I am struggling on cross-sections
Answer:
I don’t know the answer I just need some points to ask more questions !!! have a good day !!
Step-by-step explanation:
11/12 x 6/11 in simplest form
Please help. I need to know the answer. I will give brainliest
9514 1404 393
Answer:
1 4 8 9Step-by-step explanation:
blank 1
Locate x = 7 and find the y-value where the blue curve crosses.
f(7) = 1
blank 2
Locate x = -9 and find the y-value where the red curve crosses.
g(-9) = 4
blank 3
Locate y = 0 (the x-axis) and find the x-value where the blue curve crosses.
f(8) = 0
blank 4
Locate y = 2 and find the x-value where the red curve intersects.
g(9) = 2
The letters from the word MATHEMATICS are placed in a hat. What is the probability of selecting an M and then selecting a T if the letters are selected at random and not replaced?
Find the angles a, b, c and d.
Answer:a b and c are 6
Step-by-step explanation:
The table shows the amounts y (in tons) of waste left in a landfill after x months of waste relocation. Use the table to complete the statements.
x 0 3 6
y 24 18 12
It takes Response_________ months to empty the landfill.
Answer: it would take 1 year
Step-by-step explanation: scince it took 1/2 a year to get rid of half the waste it would take another 1/2 a year to get rid of the rest to it would take 1 year to get rid of all of the waste
Oakwood Cinema has a theater screen with a diagonal length of 66 feet. The ratio of the length to width is 19:10. What are the approximate dimensions of the screen to the nearest foot?
Answer:
height = 23 ft , Width=43ft
Step-by-step explanation:
Step one:
Given data
Given data
Diagonal = 66ft
Aspect ratio= 19:10
From the formulas below, we can find the dimensions of the theater screen
height = diagonal / √ (AR²+1)
where AR is the aspect ratio
Step two:
height = 66 / √ ((19/10)² + 1) =
height = 66 / 2.9
height = 23 ft
Step three:
Also,
width = AR * height
width = (19/10) * 22.75
width =1.9* 22.75
Width=43ft
//////////////////////////////
Answer:
27
Step-by-step explanation:
9³÷3³=729÷27
= 27
Answer:
the answer is 3
Step-by-step explanation:
a) Work out the value of angle x.
b) Give reasons for your answer.
Answer:
60 degrees
Step-by-step explanation:
The bottom and top horizontal lines are parallel. This means x and the bottom right angle in the triangle are the same. Because of the lines going through the triangle's sides we know the triangle's lengths are the same, making it an equilateral triangle. In an equilateral all angles are the same size: 60 degrees.
Christopher wants to estimate the mean amount of carbon dioxide that is emitted by burning 1\text{ L}1 L1, start text, space, L, end text of a new type of gasoline. He plans on burning 1\text{ L}1 L1, start text, space, L, end text at a time and measuring the resulting emissions. He'll repeat this process for a sample of nnn attempts and construct a confidence interval for the mean. He wants the margin of error to be no more than 202020 grams at a 90\%90%90, percent level of confidence. Preliminary data suggests that \sigma=50σ=50sigma, equals, 50 grams is a reasonable estimate for the standard deviation of the emissions from burning 1\text{ L}1 L1, start text, space, L, end text of this type of gasoline. Which of these is the smallest approximate sample size required to obtain the desired margin of error?
Answer:
The smallest sample size required to obtain the desired margin of error is of 17.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Which of these is the smallest approximate sample size required to obtain the desired margin of error?
The desired margin of error is 20, so [tex]M = 20[/tex]
We have that [tex]\sigma = 50[/tex].
The smallest sample size is n. So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]20 = 1.645*\frac{50}{\sqrt{n}}[/tex]
[tex]20\sqrt{n} = 50*1.645[/tex]
[tex]\sqrt{n} = \frac{50*1.645}{20}[/tex]
[tex](\sqrt{n})^2 = (\frac{50*1.645}{20})^2[/tex]
[tex]n = 16.9[/tex]
Rounding up
The smallest sample size required to obtain the desired margin of error is of 17.
Find the product of -5 – 4i and its conjugate. The answer is a + bi where
Answer:
Step-by-step explanation:
(-5 - 4i)(-5 + 4i)
25 - 20i + 20i - 16 i^2
25 + 16
41 + 0i
Given complex number is (-5 - 4i).
Therefore, conjugate of this number will be (-5 + 4i)
[Conjugate of a complex number (a + bi) is (a - bi)]
Multiplication of the number and the conjugate of this number will be,
(-5 - 4i)(-5 + 4i) = (-5)² - (4i)²
= 25 - (16i²)
= 25 - (16)(-1) [Since, i² = (-1)]
= 25 + 16
= 41
It can be written in the form a complex form → (41 + 0.i)
Therefore, a = 41 and b = 0.
Learn more,
https://brainly.com/question/1748033
A coffee shop sells refill mugs for $7.50 each. Each coffee refill costs $1.75. Last month, Cody spent $42.50 on a mug and refills. Which equation can you use to find how many refills Cody bought. (Let x = the number of refills) How many refills did Cody buy last month? 10, 12, 20, or 25
Answer:
cannot see equations to select from but I got '7.50 + 1.75x = 42.50'
20 refills
Step-by-step explanation:
7.50 + 1.75x = 42.50
1.75x = 35
x = 35 / 1.75
x = 20
need help with the slope
Answer:
for sure it's a negative since the slop is going down.. other than that, that's all I can help you with since I'm barely learning about that too :)
Find the value of x so that the ratios 9 : x and 15 : 40 are equivalent.
Answer:
x = 24
Step-by-step explanation:
x/9 = 40/15
x/9 = 8/3
x/9 = 24/9
x = 24
-1<9+n<17 and graph the answer after
Answer:
We get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
Or we can write as: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
Step-by-step explanation:
We need to solve the inequality [tex]-1<9+n<17[/tex] and graph the answer.
Solving the inequality
[tex]-1<9+n<17[/tex]
We know that if a<u<b then we can write a<u and u<b
So, we can write
[tex]-1<9+n \:and\: 9+n<17[/tex]
Solving these equations and finding values of n
[tex]-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8[/tex]
So, we get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
We can write it as: -10< n and n<8
Overlapping we get: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
HELP MEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
115
Step-by-step explanation:
since the line of DC has to equal 180 degrees, you take 180 and subtract 65.
180 - 65 =115
What is the value of y
O 12
O 1/3
O 6
O 2
4 times 4 times 4 times 4 times4 times 4. Using exponents, the expression is?
Answer:
It will have a 4 and then a five on the top right of it.
Step-by-step explanation:
4^5
Answer:
4^{5}
Step-by-step explanation:
Just basically what the other person said.
4 exponent 5