Answer: 360 plants
Step-by-step explanation:
90% is equivalent to 0.90.
You multiply 0.90 and get your answer of 360.
1 1/2 ÷ (1 1/4 * 1 1/4) ÷ 1 2/3 ÷ (1 1/5 * 1 1/5)
Answer:
0.4
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
aya has 14 2/5 feet of chain. She wants to make pieces foot long math. How many can she make? b Solve the problem using decimals
Aya can make 14 mats of 1 foot long.
What is division?Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"
Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.
Let can make x mats out of the given chain, since each mat is 1 foot long, so,
1×x = 14\(\frac{2}{5}\)
x = 72/5
x = 14.4
x ≈ 14
Hence, She can make 14 mats out of the given chain.
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check the picture below & help please!!
how many hours?
Answer:
I think it should be 11/3
What is the constant what is the coefficient in A=4x+1
Answer:
the constant is 1 and the coefficient is 4
Answer:
Coefficent is 4x
Constant is 1
Step-by-step explanation:
Coefficent is a number multipled by the variable
Constant is a number NOT including a variable or anything
If one angle of a parallelogram is of measure 70
∘
, find the measures of all the angles of the parallelogram.
Answer:
70, 110, 70, 110
Step-by-step explanation:
If one angle is 70 degrees, the opposite angle is also 70 degrees. The 4 angles add to 360, 360 - 140 = 220. The 220 degrees are split 2 ways for the 2 angles, so they are each 110 degrees.
I need help
Solving this problem
The required value of x is 22 degrees for the given figure.
Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:
According to the given figure, it can be written as follows:
2x + 24 + 6x - 20 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Therefore, the required value of x is 22 degrees for the given figure.
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The complete question is as follows:
Find the value of x for the below figure.
lindsay is going to the gym to use either a stairmaster or a stationary bike. she would prefer the stairmaster, but using a bike is acceptable as well. the probability of getting a stairmaster is .20. given that she gets the stairmaster, the probability that she will have it for forty minutes straight is .10. given that she gets a bike, the probability is 0.50 that she will be able to use it for forty minutes straight. what is the probability that lindsay worked out for forty minutes straight today?
In this problem, we are asked to find the probability that Lindsay was able to work out for 40 minutes straight at the gym.
To do this, we must take into account the probabilities of her getting either a stairmaster or a stationary bike, and the probability of being able to use it for 40 minutes straight given the equipment she gets.
To find the probability that Lindsay worked out for 40 minutes straight, we need to use the law of total probability. The probability of working out for 40 minutes straight can be expressed as:
P(40 minutes straight) = P(Stairmaster) * P(40 minutes straight | Stairmaster) + P(Bike) * P(40 minutes straight | Bike)
Plugging in the values given, we have:
P(40 minutes straight) = 0.20 * 0.10 + 0.80 * 0.50 = 0.22
So, the probability that Lindsay worked out for 40 minutes straight today is 0.22.
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A student is graduating from college in six months but will need a loan in the amount of $2,560 for the last semester. the student receives an unsubsidized stafford loan with an interest rate of 6.8%, compounded monthly. what is the balance of the unsubsidized loan at the time of graduation?
The balance of the unsubsidized loan at the time of graduation is $3,691.10.
Given:
Principal amount = $2,560
Interest rate = 6.8% = 0.068
Time period = 6 months
We can use the formula for compound interest to calculate the future value:
\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)
Substituting the value back into the formula as
Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)
= \($2,560 (1 + 0.00566667)^{(72)\)
= \($2,560 (1.00566667)^{(72)\)
= $2,560 * 1.44044291
= $3,691.10
Therefore, the balance is $3,691.10.
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Find the measurement of the two angles
Please !
Answer:
1 -9 09u and than add
Step-by-step explanation:
Solve the following equation for z.
Answer: 6
Step-by-step explanation:
6 - 4 = 2
Im pretty sure the is the right answer! :)
Answer:
2 because
Step-by-step explanation:
2-4=2 yeah that all I got
A scale on a blue print drawing of a house shows that 101010 centimeters represents 222 meters. What number of actual meters are represented by 181818 centimeters on the blue print?.
The actual meters represented by 18 cm on the blueprint is 3.6 meters.
What is a scale factor?
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Here, we have
Given that, a scale on a blueprint drawing of a house shows that 10 cm represents 2 meters.
We have to find what number of actual meters is represented by 18 cm on the blueprint.
Now, we apply the scale factor formula and we get
Actual meters = (18 cm× 2 meters)/10 cm
= 3.6 meters
Hence, the actual meters represented by 18 cm on the blueprint is 3.6 meters.
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From a group of 280 children, 14 made the swim team. What percent of the children is this?
PLEASE HELP, ILL GIVE BRAINLIEST
Answer:
5%
Step-by-step explanation:
14/280 is 5%. (Brainliest pls?)
Answer: I think it is 39.2 percent
Step-by-step explanation:
Answer −9
x + 1 = −80
Brainlist included
Answer:
x=9
Step-by-step explanation:
-9x+1=-80
To eliminate the one, you subtract one from both sides.
That gives you:
-9x=-81
Then you divide both sides by negative nine to get x by itself.
x=9
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of
�
x that support your conclusion.
�
−
3
=
x−3=
−
10
−10
Answer:
There is only one solution.
The solution is -7
Step-by-step explanation:
x - 3 = -10 Add 3 to both sides
x - 3 + 3 = -10 + 3
x = -7
Helping in the name of Jesus.
Can someone help me please I need help
9514 1404 393
Answer:
1. yes
2. no
Step-by-step explanation:
We can label the equations [1] and [2] to make the transformations to the equivalent system easier to describe.
1. The equivalent system is [1] +[2] and 2×[1]. Both of these are described as allowed transformations.
[1] +[2] is (-x +2y) +(-3x +9y) = (10) +(-15) ⇒ -4x +11y = -5
2×[1] is 2(-x +2y) = 2(10) ⇒ -2x +4y = 20
These resulting equations match the ones proposed for the equivalent system.
yes, the systems are equivalent
__
2. The first equation of the proposed "equivalent" system is [1] +[2]. The second equation has no relation to the equations of the given system.
[1] +[2] = (-2x +3y) +(-11x -13y) = (14) +(-6) ⇒ -13x -10y = 8
no, the systems are not equivalent
(This is also shown in the attached graph. The original system is in red; the "equivalent" system is in green. Equivalent systems have the same solution. These do not.)
Look at the image below. Identify the coordinates for point X, so that the ratio of AX : XB = 5 : 4
The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).
How to determine the coordinates of point X?In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.
In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:
M(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
By substituting the given parameters into the formula for line ratio, we have;
M(x, y) = [(5(2) + 4(-6))/(5 + 4)], [(5(-11) + 4(-2))/(5 + 4)]
M(x, y) = [(10 - 24)/(9)], [(-55 - 8)/9]
M(x, y) = [-14/9], [(-63)/9]
M(x, y) = (-1.6, -7)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
I need a quick answer please!!
Which of the following is NOT true about the diagram below?
m∠CDB = 92°
m∠ADB = 88°
DB is a perpendicular bisector of AC
or lastly
AD=DC
Answer:
The answer is DB is a perpendicular bisector of AC
Step-by-step explanation:
Answer:
DB is a perpendicular bisector of AC
Step-by-step explanation:
You have cup of cornmeal in your cupboard. A recipe for muffins calls for
cup of cornmeal. How much cornmeal would you have left if you made the
muffins?
Given the system below,
9x+3y=-18
y=x+7
What is the ordered pair for the intersection
)?
Answer:
(-3.25,3.75)
Step-by-step explanation:
Thuis can be answered with either of two approaches: Graphing and Matematical. We'll do both:
Graphing
Graph both equations. It is helpful to use a free online graphing utility: DESMOS.
The attached graph reveals the intersection of the lines at point (-3.25, 3.75).
Matematical
Solve the equations be using substitution. Rearrange either equation to isolate one of the two variables (x or y).
Lets use the second, since y is already isolated, making the task simple and fast. But the other equation could also be used, if desired.
y=x+7
Now use this expression of y in the other equation:
9x+3y=-18
9x+3(x+7)=-18
9x +3x +21 = -18
12x = -39
x = -(39/12)
x = -3 - (3/12)
x = -3.25
Now use x= -3.25 in either equation tand solve for y:
y=x+7
y=(-3.25)+7
y = 3.75
The solution to this series of equations is (-3.25,3.75)
a food corporation declared a dividend of php 1,000,000 for its common stocks.suppose there are 60,000 shares of common stocks how much is the dividend per share?
H = {(2, 5), (3, 5), (4, 5), (5, 5), (6, 5)} Is H a function and why?.
Answer:
Yes, each x-value has a unique y-value.
Step-by-step explanation:
This is a function because each x-value has its own y-value. If this is not the case then it is not a function, because then, two points with the same x-value and different y-values would fail the VLT.
Your graph does not have overlaps and each x-value has a unique y-value
VLT
The vertical line test (VLT) is a simple method that mathematicians made because they were lazy to make a table of values and find duplicates.
Passing the VLT means that if you drew a vertical line anywhere on the graph, it would only go through one point. Failing the VLT would mean that the vertical lineA quick way to check if it is a function is by looking for duplicates of x-values and check that the duplicates have the same y-value.
-Chetan K
Images/Examples
The calculation answer obtained from multiplying the measurements 64.49 and 6.57 is 423.70. Given the operational rules governing significant figures, this answer
The answer obtained from multiplying the measurements 64.49 and 6.57 is 423.70.
According to the rules governing significant figures, the result of a multiplication or division should have the same number of significant figures as the measurement with the fewest significant figures.
In this case, both measurements, 64.49 and 6.57, have four significant figures each. When multiplied together, the result is 423.6993. However, since the measurement 6.57 has the fewest significant figures, the final answer should be rounded to match that.
Therefore, the answer is rounded to three decimal places, resulting in 423.700. The zero at the end is included to indicate that the measurement is known to that level of precision.
Hence, considering the rules of significant figures, the answer obtained from multiplying the measurements 64.49 and 6.57 is 423.700.
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Let U1 and U2 be two independent standard normal random variables. So E[U1] = E[U2] = 0 and Var(U1) = Var(U2) = 1. Let X = δ|U1|+√ −1 <δ <1. 1 −δ2U2 for (a) Let Z be a continuous random variable with probability density function (PDF) fZ(z) = 2ϕ(z)Φ(αz) for −[infinity] < α < [infinity] where ϕ(z) = 1 √ 2z2 and Φ(z) = z −[infinity] ϕ(t)dt are probability density function (PDF) and cumulative distribution function (CDF) of a standard normal random variable. Determine α in terms of δ so Z and X have the same distribution. 2π e−1 (b) X2 is a Gamma random variable. Determine the probability density function (PDF) of X2. Further, state the distributions of |U1|2 and U2 2. (c) Determine all kth moments of |U1|, U2 for k = 1,2,.... Also state the even moments of X.
Let U1 and U2 be two independent standard normal random variables
a) To determine the value of α in terms of δ so that X and Z have the same distribution, the first step is to find the probability density function of X. The probability density function of X is given by;fX(x) = 2ϕ(x)F(δ|x|) for -1 < x < 1where ϕ(z) and Φ(z) are the probability density function (PDF) and cumulative distribution function (CDF) of a standard normal random variable.ϕ(z) = 1/√(2π)e^-(z^2/2)Φ(z) = (1/2)[1 + erf(z/√2)]F(δ|x|) is the CDF of δ|x|, where erf(z) is the error function;2F(δ|x|) - 1 = erf(x/√2δ)F(δ|x|) = 0.5(1 + erf(x/√2δ))Hence;fX(x) = 2ϕ(x)erf(x/√2δ)for -1 < x < 1On the other hand, the PDF of Z is given by;fZ(z) = 2ϕ(z)Φ(αz)where fZ(z) = fX(x) for all x in (-1,1)2ϕ(z)erf(z/√2δ) = 2ϕ(z)Φ(αz)ϕ(z) cancels out and we are left with;erf(z/√2δ) = Φ(αz)Taking the derivative of both sides with respect to z;2/√(π) e^-(z/√2δ)^2 = αϕ(αz)2/√(π) e^-(αz)^2 = 2/√(π) e^-(z/√2δ)^2α = ±√(2δ)Using α = +√(2δ), we get;α = √(2δ)Therefore;Z has the same distribution as X when α = √(2δ).
b) To determine the probability density function of X^2.We are given that;X = δ|U1| - δ^2U2 + i√(1 - δ^2)U2, where U1 and U2 are independent standard normal random variables.Then;X^2 = (δ|U1|)^2 + (δ^2U2)^2 + 2δ^3|U1|U2 - 2δ^2|U1|U2 + (1 - δ^2)U2^2= δ^2(U1^2 + U2^2 - 2|U1|U2) + (1 - δ^2)U2^2Since U1 and U2 are independent standard normal random variables;U1^2 and U2^2 are Chi-Squared with 1 degree of freedom.|U1| and |U1|U2 are Rayleigh and Rayleigh-Rice with 2 degrees of freedom respectively-Rice random variable respectively with degrees of freedom k. The distributions of |U1|^2 and U2^2 are given by;|U1|^2 is Chi-Squared with 2 degrees of freedomU2^2 is Chi-Squared with 1 degree of freedom
c) To determine all the kth moments of |U1|, U2 for k = 1,2,.... Also, to state the even moments of X.The kth moment of |U1| is given by;E(|U1|^k) = 2^(k/2 - 1)Γ((k + 1)/2)for k = 1,2,....The kth moment of U2 is given by;E(U2^k) = 2^(k/2 - 1)Γ(k/2)for k = 1,2,....Also, the even moments of X are given by;E(X^(2k)) = δ^(2k)(2k - 1)!!(2√(1 - δ^2))^k + (1 - δ^2)k!/(2(k/2)!)for k = 1,2,....
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do the three lines 2x1−4x2=8, 4x1 6x2=−40, and −2x1−10x2=48 have a common point of intersection? explain.
No, the three lines 2x1 − 4x2 = 8, 4x1 + 6x2 = −40, and −2x1 − 10x2 = 48 do not have a common point of intersection. They form a system of linear equations that is inconsistent.
To determine if the three lines have a common point of intersection, we need to check if there is a solution to the system of linear equations. We can rewrite the system of equations in matrix form as:
| 2 -4 | | x1 | | 8 |
| 4 6 | * | x2 | = | -40 |
|-2 -10 | | x3 | | 48 |
If we attempt to solve this system using Gaussian elimination or any other method, we will find that it leads to an inconsistent system, meaning there is no solution that satisfies all three equations simultaneously.
This can be seen by examining the matrix formed by the coefficients of the variables. The second row is a linear combination of the first row, and the third row is a multiple of the first row. Inconsistent systems occur when the rows of the coefficient matrix are linearly dependent or when one row is a multiple of another.
Therefore, the given system of equations does not have a common point of intersection.
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what does the remainder theorem conclude given that f(x)x 5 has a remainder of 17?enter your answer by filling in the boxes.
The remainder theorem conclude given that F(-5)=17
When, x= -5
x+5=0
So, F(-5) = 17
What is Remainder Theorem explain?According to the remainder theorem, the result of dividing p(x) by (x - a) is p. (a). According to the factor theorem, (x - a) can only be a factor of p(x) if f(a) = 0. It is used to locate the rest. A linear polynomial's status as a factor of the input polynomial is determined using this method.
The remainder theorem is used to calculate the remainder when a polynomial is split by a linear polynomial. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem.
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1 kk (a) Prove that every positive integer k satisfies 5 = k+I + X(+1) + (b) Prove that there exist integers a 3 there exist n integers dj < a2 <...< an such that a 1 1 1 1 + + a1 a2 + an
a) We have shown that for every positive integer k, 1/k = 1/(k+1) + 1/(k(k+1)). b) We have found integers a = 2, b = 3, and c = 6 such that 1 = 1/a + 1/b + 1/c. c) The every integer n ≥ 3, there exist n integers a₁, a₂, ..., aₙ such that 1 = 1/a₁ + 1/a₂ + ... + 1/aₙ.
(a) To prove that every positive integer k satisfies 1/k = 1/(k+1) + 1/(k(k+1)), we can start by manipulating the right-hand side of the equation:
1/(k+1) + 1/(k(k+1))
= (k/(k(k+1))) + 1/(k(k+1)) (finding a common denominator)
= (k + 1)/(k(k+1)) (combining the fractions with the same denominator)
= 1/k (canceling out the common factor of (k+1) in the numerator and denominator)
Thus, we have shown that for every positive integer k, 1/k = 1/(k+1) + 1/(k(k+1)).
(b) To prove that there exist integers a < b < c such that 1 = 1/a + 1/b + 1/c, we can choose specific values for a, b, and c. Let's choose a = 2, b = 3, and c = 6:
1/2 + 1/3 + 1/6
= 3/6 + 2/6 + 1/6
= 6/6
= 1
Therefore, we have found integers a = 2, b = 3, and c = 6 such that 1 = 1/a + 1/b + 1/c.
(c) To prove that for every integer n ≥ 3, there exist n integers a₁, a₂, ..., aₙ such that 1 = 1/a₁ + 1/a₂ + ... + 1/aₙ, we can use the following construction:
Choose a₁ = 2, a₂ = 3, and a₃ = 6 as shown in part (b) above.
Now, for the remaining integers a₄, a₅, ..., aₙ, we can choose them to be equal to the least common multiple (LCM) of a₁, a₂, ..., aₙ₋₁. This guarantees that each term 1/aₖ, where k > 3, will have the same denominator and can be added to the other terms.
Since the LCM is a multiple of each of the previous integers, it is guaranteed that the sum of the reciprocals will be equal to 1.
Therefore, for every integer n ≥ 3, there exist n integers a₁, a₂, ..., aₙ such that 1 = 1/a₁ + 1/a₂ + ... + 1/aₙ.
The complete question is:
(a) Prove that every positive integer k satisfies 1/k=1/(k+1) + 1/ (k(k+1)).
(b) Prove that there exist integers a <b<c such that 1 = 1/a + 1/b + 1/c.
(c) Prove that for every integer n ≥ 3 there exist n integers \(a_1,a_2,.....,a_n\) such that \(1=1/a_1+1/a_2+.....1/a_n\)
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Solve 2(x + 1) + 4 = 8
1
6.5
4
3
A country imports in the vicinity of 100 million litres of diesel fuel (ADO) for use in diesel vehicles and 70 million litres of petrol fir petrol vehicles. It also produces molasses and cassava, which are feedstock for the production of ethanol, and coconut oil (CNO) that can be converted to biodiesel (CME) via trans-esterification.
a) Calculate the volume of B5 that can be produced from the coconut oil produced in Fiji, and the total volume of E10 that can be produced from all the molasses and the cassava that the country pr
The percentage of B5 produced from coconut oil is 0.045 X% of the imported diesel fuel. The percentage of E10 produced from molasses and cassava is 0.1143 Y% of the imported petrol.
To calculate the volume of B5 (a biodiesel blend of 5% biodiesel and 95% petroleum diesel) that can be produced from the coconut oil produced in Fiji, we need to know the total volume of coconut oil produced and the conversion efficiency of the trans-esterification process.
Let's assume that the volume of coconut oil produced in Fiji is X million litres, and the conversion efficiency is 90%. Therefore, the volume of biodiesel (CME) that can be produced from coconut oil is 0.9X million liters. Since B5 is a blend of 5% biodiesel, the volume of B5 that can be produced is 0.05 × 0.9X = 0.045X million liters.
To calculate the total volume of E10 (a gasoline blend of 10% ethanol and 90% petrol) that can be produced from the molasses and cassava, we need to know the total volume of molasses and cassava produced and the conversion efficiency of ethanol production.
Let's assume that the total volume of molasses and cassava produced is Y million liters, and the conversion efficiency is 80%. Therefore, the volume of ethanol that can be produced is 0.8Y million liters. Since E10 is a blend of 10% ethanol, the total volume of E10 that can be produced is 0.1 × 0.8Y = 0.08Y million liters.
The percentage of B5 produced from coconut oil is (0.045X / 100) × 100% = 0.045 X% of the imported diesel fuel.
The percentage of E10 produced from molasses and cassava is (0.08Y / 70) × 100% = 0.1143 Y% of the imported petrol.
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The complete question is:
A country imports in the vicinity of 100 million litres of diesel fuel (ADO) for use in diesel vehicles and 70 million litres of petrol fir petrol vehicles. It also produces molasses and cassava, which are feedstock for the production of ethanol, and coconut oil (CNO) that can be converted to biodiesel (CME) via trans-esterification.
a) Calculate the volume of B5 that can be produced from the coconut oil produced in Fiji, and the total volume of E10 that can be produced from all the molasses and cassava that the country produces annually. Express your results as the percentages of the respective imported fuel.
Really appreciated :))) 25 points (reupload)
Answer:
a)30
b)25
Step-by-step explanation:
ratio of red socks and total sock is 1:6 so, lets show this as,
1k and 6k.
1k-------5
6k------x
x=30
a)total socks = 30
b)black socks =total-red socks=30-5=25
The value of "y" varies directly with "x".
If y = 36, then x= 3.
Solve for k.
k=?]
Remember: y = kx
Enter
Answer:
\(3k = 36\)
\(k = 12\)
Answer:
12
Step-by-step explanation:
If y = 36 and X = 3 then K would = (y divided by x) so it would be 36 divide 3
that being 12 so, therefore, the answer is 12.
K= 12