Answer:
a: It is binomial because it is either on time, or it's not. There are only 2 choices
b: 0.0668
c: 0.0319
d: 0.9681
e: 0.097
Step-by-step explanation:
The formula (nCr)(p^r)(q^(n-r)) will tell us the probability of binomial events occuring. n is the population, r is the desired number of chosen outcomes, p is the probability of success, and q is the probability of failure. nCr tells us how many different ways we can choose r items from a total of n outcomes
Here, n = 17, p = 0.85, q = 0.15 and r depends on the question.
b. r = 12, plug in the values into the formula...
(17C12)(0.85^12)(0.15^5) = 0.0668
c. Use the compliment: the probability of fewer than 12 means 1 - P(12 or more), so 1 - (the sum of the probabilities or 12, 13, 14, 15, 16, or 17 flights being on time). This will save some time when calculating...we have
1 - [ (17C12)(0.85^12)(0.15^5) + (17C13)(0.85^13)(0.15^4) + (17C14)(0.85^14)(0.15^3) + (17C15)(0.85^15)(0.15^2) + (17C16)(0.85^16)(0.15^1) + (17C17)(0.85^17)(0.15^0) ]
= 1 - 0.9681 = 0.0319
d: this is what we just calculated before subtracting from 1 in the last problem, 0.9681
e. This is the probability of 10, 11, or 12 flights being on time
(17C10)(0.85^10)(0.15^7) + (17C11)(0.85^11)(0.15^6) + (17C12)(0.85^12)(0.15^5)
= 0.97
This question deals with the concept of binomial distribution. The situation of selecting 17 flights and recording if they are on time is a binomial experiment as it meets the required conditions. The probabilities for the various scenarios can be calculated using the binomial probability formula.
Explanation:This question pertains to the topic of binomial distribution in probability statistics. A binomial experiment is defined as a statistical experiment that meets specific parameters, such as a fixed number of trials with two potential outcomes (often defined as success and failure), and each trial is independent while repeated under identical conditions.
(a) The situation described - selecting 17 flights and recording whether they are on time or not - represents a binomial experiment because it satisfies these conditions. There are a fixed number of trials (17 flights), there are two outcomes (the flight is on time, or it's not), and each flight is an independent occasion.
(b) The probability of exactly 12 flights being on time can be calculated using the binomial probability formula: P(X=k) = C(n, k) *[tex](p^k) * ((1-p)^(n-k)).[/tex]Here, n=17, k=12, p=0.85 (the probability of a flight being on time).
(c), (d), (e) The probabilities that fewer than 12 flights are on time, at least 12 flights are on time, and between 10 and 12 flights (inclusive) are on time can also be calculated using the binomial formula, varying the value of k as required.
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Sammy's dog eats 3/4 cup of food at each meal. His cat eats 1/8 of what the dog eats. What fraction of a cup does his cat eat?
Answer:
3/32 of a cup of food
Step-by-step explanation:
Sammy's dog eats 3/4 cup of food at each meal. His cat eats 1/8 of that.
This comes out to (1/8)th of (3/4 cup), or:
1 3
----- · ----- cup = 3/32 cup
8 4
The cat eats 3/32 of a cup of food.
Final answer:
Sammy's cat eats 3/32 cup of food per meal, which is calculated by multiplying the dog's portion, 3/4 cup, by 1/8.
Explanation:
Solving the question involves a basic understanding of fractional multiplication. Since Sammy's cat eats 1/8 of what the dog eats, we calculate the cat's portion by multiplying the dog's portion by 1/8.
Sammy's dog eats 3/4 cup of food at each meal. To find out what fraction of a cup Sammy's cat eats, we multiply 3/4 by 1/8.
Here's the calculation: 3/4 × 1/8 = 3/32
Therefore, Sammy's cat eats 3/32 cup of food at each meal.
A town uses positive numbers to track increases in population and negative numbers to track decreases in population. The population has decreased by 300300300 residents over the past 555 years. The same number of residents left each year. What was the change in the town's population each year?
Answer:
-60 people
Step-by-step explanation:
The change in population was -300 people.
The change in population was -300 people/5 yr or -60 people/yr.
The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,500 per day. FSF supplies hot dogs to local restaurants at a steady rate of 260 per day. The cost to prepare the equipment for producing hot dogs is $66. Annual holding costs are 46 cents per hot dog. The factory operates 296 days a year. a. Find the optimal run size. (Do not round intermediate calculations. Round your answer to the nearest whole number.) Optimal run size b. Find the number of runs per year. (Round your answer to the nearest whole number.) Number of runs c. Find the length (in days) of a run. (Round your answer to the nearest whole number.) Run length (in days)
Answer:
a. 5218 hot dogs
b. 18 runs per year
c. 1 day per run
Step-by-step explanation:
(a) Let n represent the number of hotdogs in an optimal run. The number of runs needed in a year is ...
r = (260 hotdogs/day)·(365 days/year)/(n hotdogs/run) = 94900/n runs/year
The number of hotdogs in storage decreases from n at the end of a run to 0 just before a run. The decrease is linear, so the average number in storage is n/2.
We can go to the trouble to write the equation for total cost, then differentiate it to find the value of n at the minimum, or we can just jump to the solution. That solution is ...
holding cost = setup cost
(n/2)·0.46 = (94900/n)·66
n^2 = 94900·66·2/0.46 = 27,232,173.9
n ≈ 5218.446
The optimal number of hotdogs in a run is 5218.
___
(b) The number of runs needed per year is (from part (a)) ...
r = 94900/5218 ≈ 18.187
The number of runs per year is 18.
___
(c) The run lenght is 5218 hotdogs, and the run produces them at the rate of 5500 hotdogs/day, so the run length in days is ...
(5218 hotdogs)/(5500 hotdogs/day) = 0.9487 days
The run length is 1 day.
The number 400 is increased by 75%. The result is then decreased by 50%. What is the final number?
Answer:150
Step-by-step explanation:75 on 100 multiply by 400 u will get 300.then 50 on 100 multiply 300 .your answer is 150.check???
Answer:
150.
Step-by-step explanation:
Identify the circumference of ⊙S in which A=64π ft^2. HELP ASAP!!
C = 24π ft
C = 32π ft
C = 16π ft
C = 8π ft
Answer:
C = 16π ft
Step-by-step explanation:
If we know the area
A = pi r^2
64 pi = pi r^2
Divide each side by pi
64 = r^2
Take the square root of each side
8 = r
The radius is 8
Now we can find the circumference
C = 2 *pi*r
C = 2*pi*8
C = 16pi
Answer:
[tex]\large\boxed{C=16\pi\ ft^2}[/tex]
Step-by-step explanation:
The formula of an area of a circle:
[tex]A_O=\pi r^2[/tex]
r - radius
We have
[tex]A_O=64\pi\ ft^2[/tex]
Substitute:
[tex]\pi r^2=64\pi[/tex] divide both sides by π
[tex]r^2=64\to r=\sqrt{64}\\\\r=8\ ft[/tex]
The formula of a circumference:
[tex]C=2\pi r[/tex]
Substitute:
[tex]C=2\pi(8)=16\pi\ ft[/tex]
HELP WILL PICK BRAINLIEST!
Choose the correct domain for f(x) = ex -2
(-∞,∞)
(0,∞)
[0,∞)
(-∞,0)
Answer:
The function has no undefined points nor domain constraints, therefore the Domain is (-∞ < x < ∞). Since your answers don't match the real results, the interval notation is (-∞,∞)
Step-by-step explanation:
2)Explain how the letter x is used when writing expressions, and give an example.
Answer:
x + y = z
y=5
z=10
x = z - y =10-5 =5
Step-by-step explanation:
1. The fabric Josef is using comes in 100 square-inch pieces that cost $6.25 each. What will his fabric cost? Show your work.
2. a student made a toy chest for his baby sister's square building blocks. Six layers of blocks can fit in the box, and each layer has 15 blocks. How many building blocks can the toy chest hold? show your work.
PLEASE HELP
Answer:
The asnwers for your two question problem are
1. $625
2. 90 building blocks
Step-by-step explanation:
First problem
The fabric Josef is using comes in 100 square-inch pieces that cost $6.25 each. What will his fabric cost?
* The fabric has 100 pieces
* Each piece costs $6.25
Total amount for the fabric = $6.25*100 = $625
Second problem
A student made a toy chest for his baby sister's square building blocks. Six layers of blocks can fit in the box, and each layer has 15 blocks. How many building blocks can the toy chest hold?
* 6 layers of blocks fit in the box
* Each layer has 15 blocks
Total amount of blocks = 6*15 blocks = 90 blocks
Is the sum of two rational number is 5/18 if one of the number is 1/8 find the other
Answer: 4/8
Step-by-step explanation:
Equation: 1/8+x=5/18
-1/8 -1/8
x=4/8
Double Check: 4/8+1/8=5/8
Given that tan theta = square root of 3 over 4, and 0 < theta < pi over 2, what is the exact value of cot theta?
Answer:
[tex]\frac{4\sqrt{3} }{3}[/tex]
Step-by-step explanation:
4sqrt3/3
Darren kept track of the number of e-mails he received from one of his customers each day for 14 days on the dot plot. Which statement must be true according to the dot plot?
The data is skewed left and shows that on half of the days, Darren received 11 or 12 e-mails from the customer.
The data is skewed left and shows that on half of the days, Darren received 7 to 9 e-mails from the customer.
The data is skewed right and shows that on half of the days, Darren received 11 or 12 e-mails from the customer.
The data is skewed right and shows that on half of the days, Darren received 7 to 9 e-mails from the customer.
Answer: A. The data is skewed left and shows that on half of the days, Darren received 11 or 12 e-mails from the customer.
Step-by-step explanation: Most of the Data is on the right so it is skewed left, and most of the emails are on 11 and 12 so that is why A is correct.
Select the first correct reason why the given series converges.
a. convergent geometric series
b. convergent p-series
c. integral test
d. comparison with a convergent p-series
e. converges by limit comparison test f. converges by alternating series test e 1. ∑n=2∞n2+n‾√n4−4 f 2. ∑n=1∞n2+ln(n)n2−9n f 3. ∑n=1∞(cos(nπ))ln(6n) f 4. ∑n=1∞(−1)n7n+5 f 5. ∑n=1∞(−1)nn‾√n+4 c 6. ∑n=2∞4n(ln(n))2
Answer:
E. Converges by limit comparison test.
Step-by-step explanation:
Here is something that might help you on this
https://study.com/academy/answer/select-the-first-correct-reason-why-the-given-series-converges-displaystyle-sum-n-1-infty-1-n-frac-sqrt-n-n-2-a-convergent-geometric-series-b-convergent-p-series-c-comparison-or-limi.html.
This question involves the application of different series convergence tests in calculus. The first correct reasons why the given series converged were identified using the comparison to a convergent p-series, integral test, and the alternating series test.
Explanation:This question relates to the convergence of series in calculus. In order to determine why a given series converges, we need to apply various convergence tests. Here are the first correct reasons why the provided series converge:
∑n=2∞n2+n/√n4−4 converges by comparison with a convergent p-series.∑n=1∞n2+ln(n)/n2−9n converges by the integral test.∑n=1∞(cos(nπ))ln(6n) converges by the alternating series test.∑n=1∞(−1)n/7n+5 converges by the alternating series test.∑n=1∞(−1)n/√n+4 converges by the alternating series test.∑n=2∞4n(ln(n))2 converges by the integral test.Learn more about Convergence of Series here:https://brainly.com/question/33953891
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If the Jonas family wanted to plant 3 bushes that needed to be 3 feet apart and 3 feet away from the fence around the yard, would they have room?
Answer:
Not enough info.
Step-by-step explanation:
Not enough information, how big is the fence perimeter wise? What is the shape of the fence? If the fence is square and 2,000 feet long, of course there's room. If its a square fence that's 2 feet long, there is no room at all.
please help me out...........
Answer:
N(c, b)Step-by-step explanation:
If N is midpoint between Q and R, then use the formula of a midpoint:
[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]
We have the points Q(0, 2b) and R(2c, 0). Substitute:
[tex]x=\dfrac{0+2c}{2}=\dfrac{2c}{2}=c\\\\y=\dfrac{2b+0}{2}=\dfrac{2b}{2}=b[/tex]
Use a graphing calculator, or another piece of technology, to find the zeros of the function f(x)=−2x3+5x2+1.
What are the approximate zeros to the nearest tenth?
There may be more than one correct answer. Select all correct answers.
x≈0.2
x≈−0.2
x≈−2.58
x≈1.7
x≈2.58
x≈−1.7
The answer is 2.58
See attached picture of graph with the solution:
The approximate zeros of the function f(x)=-2x^3+5x^2+1, to the nearest tenth, are x ≈ 0.2, x ≈ -2.58, and x ≈ 1.7.
Explanation:To find the zeros of the function f(x)=−2x3+5x2+1, one uses a graphing calculator or similar piece of technology. After entering this function and graphing it, you locate the points where the curve intersects the x-axis. These points are the function's zeros or roots, as the function equals zero at these x-values.
For the function given, the zeros are approximately x ≈ 0.2, x ≈ -2.58, and x ≈ 1.7 when rounded to the nearest tenth. These values represent the x-coordinates of the points where the graph of the function intersects the x-axis.
Please note that because we're rounding to the nearest tenth, the actual zero could slightly differ.
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etermine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 3 2 x − 2y = 4 x + 1 3 y = 2 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =
Answer:
(32/15, -2/5)
Step-by-step explanation:
(1) ³/₂x - 2y = 4
(2) x + ⅓y = 2
(3) 3x - 4y = 8 Multiplied (1) by 2
(4) 3x + y = 6 Multiplied (2) by 3
5y = -2 Subtracted (3) from (4)
(5) y = -⅖ Divided each side by 5
x + ⅓(-⅖) = 2 Substituted (5) into (2)
x - ²/₁₅ = 2
x = 2 + ²/₁₅ Added ²/₁₅ to each side
x = 32/15
The system of equations has only one solution: (32/15, -2/5).
Can someone help me with the First question ?
Answer:
Step-by-step explanation:
#1.
228 ÷ 6 = 38 in
#2.
186 ÷ 3 = 62 ft
#3.
360 ÷ 8 = 45 yd
#4.
119 ÷ 7 = 17 ft
I hope I helped you.
Answer:
Perimeter is the total outside dimension.
To find the length of one side, divide the total perimeter by the number of sides.
1. 228 / 6 = 38 inches.
2. 186 / 3 = 62 feet.
3. 360 / 8 = 45 yards
4. 119 / 7 = 17 feet.
25 POINTS ANS BRAINLIEST
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Based on visual inspection of the dot plots, which group appears to have the longest average forearm length?
Group A, because seven children have a forearm length longer than 10 inches
Group B, because two children have a forearm length longer than 10 inches
Group A, because one child in the group has the least forearm length of 9 inches
Group B, because three children in the group have the least forearm length of 9 inches
Answer: it is a
Step-by-step explanation:
It is a because if you add them all together you will see that be is less so you can cross does out so you are left with a or c. C is not the correct ans because none of the kids had a forearm less than 9. And all seven of the kids had a forearm more than 10 inches.
Need help ASAP!!
A triangle has side lengths of 34 in., 20 in., and 47 in. Is the triangle acute, obtuse or right?
A. right
B. obtuse
C. acute
For the answer I got B. obtuse. Is it correct?
16. A triangle has side lengths of 1.2, 4.6 and 5. Determine if the triangles is Acute, Obtuse, or Right.
For the answer I got Acute. Is it correct?
17. Find the value of x.
Picture 1 is my work for number 11.
Picture 2 is my work for number 16.
Picture 3 is what I need to use to solve for x.
Answer:
1. B (obtuse)
2. Obtuse
3. 20.92
Step-by-step explanation:
1.
We need to use the converse of the pythagorean theorem to solve this problem. Given that c is the longest side of a triangle, and a and b are the other two sides. The triangle is right triangle if [tex]c^2=a^2 +b^2[/tex]
The triangle is acute triangle if [tex]c^2 < a^2 + b^2[/tex]
The triangle is obtuse triangle if [tex]c^2 > a^2 + b^2[/tex]
the longest side of this triangle is 47, so we check:
[tex]47^2=2209[/tex], and
[tex]34^2 + 20 ^2 =1556[/tex]
Hence, c^2 is GREATER than a^2 + b^2, so the triangle is obtuse.
2. Using the points we showed above, we can again summarize:
If [tex]c^2 = a^2 + b^2[/tex] -- Right Triangleif [tex]c^2 < a^2 + b^2[/tex] -- Acute Triangleif [tex]c^2 > a^2 + b^2[/tex] -- Obtuse TriangleThis triangle's c (longest side) is 5. Let's check:
5^2 = 25, and
[tex](1.2)^2 + (4.6) ^2=22.6[/tex]
Hence, c^2 is GREATER than a^2 +b^2, so the triangle is obtuse.
3.
The side opposite of the 90 degree angle is the "hypotenuse", that is x. The side opposite the 35 degree angle is "opposite" side.
The trigonometric ratio that related "opposite" side to "hypotenuse" side is SINE. So we can write:
[tex]Sin(35)=\frac{Opposite}{Hypotenuse}\\Sin(35)=\frac{12}{x}[/tex]
Now, cross multiplying and solving:
[tex]Sin(35)=\frac{12}{x}\\x*Sin(35)=12\\x=\frac{12}{Sin(35)}\\x=20.92[/tex]
The first triangle is obtuse since the square of the longest side is greater than the sum of the squares of the other sides. The second triangle is acute since the square of the longest side is less than the sum of the squares of the other sides. Both answers provided are correct.
Explanation:To determine the type of triangle (acute, obtuse, or right) based on the side lengths, you can apply the Pythagorean theorem. For the triangle with side lengths of 34 in., 20 in., and 47 in., you compare the square of the largest side (472) with the sum of the squares of the other two sides (342 + 202). If the square of the largest side is greater, the triangle is obtuse. Calculating gives us 2209 (472) and 1556 (342) + 400 (202), equaling 1956, thus 2209 > 1956 and the triangle is indeed obtuse. Your answer is correct.
For the second triangle with side lengths of 1.2, 4.6, and 5, we again apply the Pythagorean theorem. If the square of the largest side (52) is equal to the sum of the squares of the other two sides (1.22 + 4.62), the triangle is right. If it’s less, the triangle is acute.
Calculating gives us 25 (52) and 1.44 (1.22) + 21.16 (4.62), equaling 22.60, thus 25 > 22.60 and the triangle is acute. Your answer is correct.
dish television charges a one-time installation fee and a monthly service charge. The total cost is modeled by the equation y=120+75x.
The total cost is represented by:
The number of months is represented by:
The installation fee is:
the monthly charge is:
y = 120 + 75x
y is total charge
75x where 75 is monthly charge and x is number of months
120 is installation charges.
Dish television charges modeled by the equation represents,
a) The total cost is represented by variable y.b) The number of months is represented by is represented by variable x.c) The installation fee is represented by constant 120.d) The monthly charge is represented by coefficient 75.What is linear equation ?
Linear equation is the equation in which the highest power of the unknown variable is one. Linear equation are used to model the real life problem in the mathematical expressions.
The linear equation with dependent variable y and independent variable x can be written as,
[tex]y=mx+c[/tex]
Here, [tex]m[/tex] is the slope of the equation and [tex]c[/tex] is the y intercept.
Given information-
The total cost is modeled by the equation
[tex]y=120+75x[/tex]
In the above equation the, variable y is dependent variable and the variable x is independent variable. The constant term 120 is fixed.
a) The total cost is represented by-As the total cost is the overall cost of the dish television. This is shown by the dependent variable y, which given the final value of cost. Thus the total cost is represented by variable y.b) The number of months is represented by-The independent variable x represent the number of months.c) The installation fee is- As the one time installation fee is fixed which does not vary. Thus the constant 120 represent the installation fee.d) The monthly charge is-The monthly charge is written with independent variable y. Thus,The monthly charge is represented by coefficient 75.Hence,
a) The total cost is represented by variable y.b) The number of months is represented by is represented by variable x.c) The installation fee is represented by constant 120.d) The monthly charge is represented by coefficient 75.Learn more about the linear equation here;
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What is the distance between the 2 points? ( use Pythagorean Theorem)
Answer:
5
Step-by-step explanation:
The horizontal distance between the points is 3 units; the vertical distance is 4 units. The straight-line distance is the length of the hypotenuse of a right triangle with those side lengths. So, the distance between the two points is ...
√(3² +4²) = √(9+16) = √25 = 5 . . . . units
_____
Comment on this triangle
The numbers 3, 4, 5 are the smallest set of integers that satisfy the relation of the Pythagorean theorem. They are also the only set of sequential numbers or numbers in arithmetic sequence that satisfy the Pythagorean theorem. As a consequence, they show up often in geometry and algebra problems. The "3-4-5 triangle" is worth remembering. So, anytime you see numbers that have these ratios, such as 9, 12, 15, for example, you know they can be the sides of a right triangle.
What is the standard form of the equation for this circle?
A. -(x – 1)2 – (y + 10)2 + 4 = 0
B. (x – 1)2 – (y + 10)2 = 2
C. (x + 1)2 + (y – 10)2 = 4
D. (x – 1)2 – (y + 10)2 = 4
A (-1, 10)
Radius 2
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h. k) are the coordinates of the centre and r is the radius
here (h, k) = (- 1, 10) and r = 2, thus
(x - (- 1))² + (y - 10)² = 2², that is
(x + 1)² + (y - 10)² = 4 → C
5x=-15x+3000 simplify step by step
The answer is 150 to this question
What is the value of x?
The little rectangle in the top right means the angle is a right angle which equals 90 degrees.
This also means all the other angles are also 90 degrees.
Solve for x:
2x+8 = 90
Subtract 8 from both sides:
2x = 82
Divide both sides by 2:
x = 82/2
x = 41
Answer:
x = 41
Step-by-step explanation:
Since they are vertical angles, 90 = 2x + 8.
Then isolate the variable by subtracting 8 from both sides.
So 2x = 82.
Then divide each side by 2 to get x = 41.
A 20-foot support post leans against a wall, making a 70° angle with the ground. to the nearest tenth of a foot, how far up the wall will the support post reach
Trigonometry
[tex]Sin\frac{Opposite}{Hypotenuse} Cos\frac{Adjacent}{Hypotenuse} Tan\frac{Adjacent}{Opposite}[/tex]
[tex]S\frac{O}{H} C\frac{A}{H} T\frac{A}{O}[/tex]
You know the hypotenuse and you want to find the opposite therefore you use, sine.
[tex]Opposite = Sin(70) *{20}[/tex]
Opposite = 18.79385242
Opposite = 18.8 feetIdentify the graph of 4x^2+5y^2=20 for T(5,-6) and write an equation of the translated or rotated graph in general form..
Answer:
The answer is ellipse of equation 4x² + 5y² - 40x + 60y + 260 = 0 ⇒ answer (b)
Step-by-step explanation:
* At first lets talk about the general form of the conic equation
- Ax² + Bxy + Cy² + Dx + Ey + F = 0
∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.
∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.
∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.
* Now we will study our equation:
* 4x² + 5y² = 20
∵ A = 4 , B = 0 , C = 5
∴ B² - 4 AC = (0)² - 4(4)(5) = -80
∴ B² - 4AC < 0
∴ The graph is ellipse or circle
* If A and C are nonzero, have the same sign, and are not
equal to each other, then the graph is an ellipse.
* If A and C are equal and nonzero and have the same
sign, then the graph is a circle.
∵ A and C have same signs with different values
∴ It is an ellipse
* Now lets study T(5 , -6), that means the graph will translate
5 units to the right and 6 units down
∴ x will be (x - 5) and y will be (y - -6) = (y + 6)
* Lets substitute the x by ( x - 5) and y by (y + 6) in the equation
∴ 4(x - 5)² + 5(y + 6)² = 20
* Use the foil method
∴ 4(x² - 10x + 25) + 5(y² + 12y + 36) = 20
* Open the brackets
∴ 4x² - 40x + 100 + 5y² + 60y + 180 = 20
* Collect the like terms
∴ 4x² + 5y² - 40x + 60y + 280 = 20
∴ 4x² + 5y² - 40x + 60y + 280 - 20 = 0
∴ 4x² + 5y² - 40x + 60y + 260 = 0
* The answer is ellipse of equation 4x² + 5y² - 40x + 60y + 260 = 0
Answer:
BBBBBB
Step-by-step explanation:
BBBBB
Please help me with this problem.
Answer:
Step-by-step explanation:
It would help you if you drew charts of what is happening. The red tank is loosing volume. It's chart is on the left.
The blue tank is gaining water (the same amount as the red is loosing)
The red graph is the red tank.
The blue graph is the blue tank.
All you really have to understand is the the slopes (3 and - 3) and the same numerically and the rates are the same numerically. So the negative slope means loose. and the positive slope (blue) gains.
The graphs have to start somewhere. You can't make a graph like one without a starting point.
The blue container starts at 0,0. I think that's easy enough to understand. At the beginning of your experiment, the blue container is empty.
The red container starts (arbitrarily) at 3 (the y intercept). It is just a number. It means that the red container starts with 3 gallons.
Neither graph should go into a negative region. I don't know how to make desmos not go into a negative region. Just block them out in your mind. Everything should take place in quadrant 1 bound by the +x and + y axis.
You have a 1-gallon paint can in the shape of a cylinder. One gallon is 231 cubic inches. The radius of the can is 3 inches. What is the approximate height of the paint can? Use 3.14 for pi.
Answer:
The approximate height of the paint can is 8.2 in
Step-by-step explanation:
we know that
The volume of the cylinder ( can of paint) is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]V=231\ in^{3}[/tex]
[tex]r=3\ in[/tex]
[tex]\pi=3.14[/tex]
Substitute the values and solve for h
231=(3.14)(3)^{2} h
h=231/(3.14*9)=8.2 in
Answer is :
8
For IM..
Tell whether this set of numbers is a Pythagorean Triple. (15, 20, 25). Yes or no?
(2Q) The graph of the logarithmic function y = loga(x) always passes through what point?
Answer:
(1,0)
Step-by-step explanation:
The given logarithmic function is
[tex]y=\log_ax[/tex]
When [tex]x=1[/tex], the logarithmic function becomes;
[tex]y=\log_a1[/tex]
[tex]\Rightarrow y=\log_aa^0[/tex]
[tex]\Rightarrow y=0(\log_aa)[/tex]
[tex]\Rightarrow y=0(1)[/tex]
[tex]\Rightarrow y=0[/tex]
Therefore the graph always passes through;
[tex](1,0)[/tex]
Answer:
option D
(1,0)
Step-by-step explanation:
Given in the question an expression
y = [tex]log_{a}x[/tex]
This function's graph will always pass through x-axis where y will always be 0
y = [tex]log_{a}x[/tex]
0 = [tex]log_{a}x[/tex]
This situation is only possible when x = 1
0 = [tex]log_{a}1[/tex]
Secondly, x can never be zero
As,
[tex]y = log_{a}0[/tex] is undefined
so this eliminate option (A) and (C)