Answer:
well first 312 in radical form is √312 and that simplified is 2√78 or 17.66352173
Step-by-step explanation:
A deck crane is used to lift very heavy objects and can
rotate 360°. Its working radius is 28 meters.
what
circular area can the crane operate?
Answer:
2463 m^2
Step-by-step explanation:
π(28)^2
(Compound Amount and Compound Interest)
Compute for compound amount and interest
1. P20,520 for 3 years and 3 months at 9% compounded quarterly
2. P25,750,25 for 2 years and 5 months at 8 25% compounded monthly
I would really appreciate if someone can get this answer for me please:)
ok done...........................
The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Find the translation rule and coordinates of U'.
Answer:
The original coordinate of
R is (-5, -5)
The new coordinate of
R is (-11, -11)
The translation rule is ( x - 6, y - 6)
The original coordinate of
U is (-5, 1)
The new coordinate of
U is (-5 - 6, 1 - 6)
which is
(-11, -5)
U' = (-11, -5)
Answer:
(x, y) --> (x – 6, y – 6); (–11, –5)
Step-by-step explanation:
Subtract 6 from both the x and y coordinates of U to get (-11, -5).
If the problem says x=5 ,did it give you a input or output?
Answer:
it gave you the input because it is telling you what x is
Despite his name, Mr. Bean likes to eat lots of fruit. He finds that four apples and two oranges cost £1.54 and that two oranges and four bananas cost £1.70. How much would he have to pay if he bought one apple, one orange and one banana?
The cost of one apple, one orange and one banana is $0.81
To solve this equation, we would write out equations on this.
let x represent appleslet y represent orangez represent bananasWhat is an EquationThis is a mathematical statement used to represent word problems.
\(4x+2y=1.54...equation(i)\\2y+4z= 1.70...equation (ii)\)
when we add both equations, the resultant value is
\(4x+4y+4z=3.24\)
We can further divide through by 4 to know the cost of one apple, one orange and one banana
\(\frac{4x+4y+4z}{4}=\frac{3.24}{4}\\ x+y+z=0.81\)
It would cost Mr. Bean $0.81 to purchase one apple, one orange and one banana.
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(x-2)3
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
21. & 22. Instructions: Find the missing side. Round your answer to the nearest tenth.
answer
14.7
step by step explanation
\(using \: tan73 = \frac{opposite}{adjacent} \\ tan73 = \frac{48}{x} \\ 3.271 = \frac{48}{x} \\ making \: x \: the \: subject \\ x = \frac{48}{3.271} \\ x = 14.674 \\ x = 14.7 \: (approximately)\)
Solve the system of equations by substitution.
x+4y=10 x=2y+4
x= y=
x= 6 x= 1
Step-by-step explanation:
hope this helps..........
Which of the following types of distributions use t-values to establish confidence intervals? Standard normal distribution Log.normal distribution ot-distribution O Poisson distribution
The t-distribution is the distribution that uses t-values to establish confidence intervals.t-distribution:
The t-distribution is a probability distribution that is widely used in hypothesis testing and confidence interval estimation. It's also known as the Student's t-distribution, and it's a variation of the normal distribution with heavier tails, which is ideal for working with small samples, low-variance populations, or unknown population variances.The t-distribution is commonly used in hypothesis testing to compare two sample means when the population standard deviation is unknown. When calculating confidence intervals for population means or differences between population means, the t-distribution is also used. The t-distribution is used in statistics when the sample size is small (n < 30) and the population standard deviation is unknown.
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Draw and upload a dot plot to represent the following data.
Student Absences in January
0 1 2 0
0 0 1 0
2 2 1 3
0 0 4 2
1 0 2 3
(you have to draw a dot plot)
Answer:
hope this help you .look it once
Answer:
*
*
*
* *
* * *
* * *
* * * *
* * * * *
______________
0 1 2 3 4 5
Step-by-step explanation:
What are like terms examples?
Step-by-step explanation:
Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.
Which type of set allows you to position rollers diagonally and set from multiple points of orgin?
oblong
half oval
half circle
The type of set that allows you to position rollers diagonally and set from multiple points of origin is an oblong set.
An oblong set is a type of parallel set consisting of two parallel rectangular bars or blocks, with rollers positioned diagonally between them. The oblong shape of the set allows for the rollers to be positioned at a diagonal angle, which can be useful when setting up workpieces that need to be adjusted at an angle or from multiple points of origin.
In contrast, a half oval set and a half circle set are both types of circular sets that consist of rollers positioned in a semi-circular shape. These types of sets are useful for supporting workpieces that have a curved or circular shape, but they do not provide the flexibility to position rollers at a diagonal angle or from multiple points of origin.
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Explain the mathematical expression of the first law of thermodynamics for any state.Discuss the physical meaning of each term in an explicit form of it.Then,deduce the explicit form of energy balance equation for the following scenarios by drawing appropriate schematics.
The first law of thermodynamics, mathematically expressed as:
ΔU = Q - W
Where:
ΔU represents the change in internal energy of the system,
Q represents the heat added to the system, and
W represents the work done by the system.
The first law of thermodynamics, also known as the law of energy conservation, states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.
The term "internal energy" (ΔU) refers to the total energy possessed by the system, including the kinetic and potential energy of its molecules. It is a measure of the system's thermal energy.
The term "heat" (Q) represents the transfer of energy between the system and its surroundings due to temperature difference. It is a form of energy transfer that occurs spontaneously from higher temperature regions to lower temperature regions.
The term "work" (W) represents the energy transfer resulting from forces applied to the system, causing displacement. It can take different forms, such as mechanical work, electrical work, or expansion work.
For different scenarios, the explicit form of the energy balance equation can be derived by considering the specific types of work and heat involved in the system. By drawing appropriate schematics, one can identify the relevant forms of work and heat transfer. Examples include:
Adiabatic Process: In this scenario, no heat transfer occurs (Q = 0). The energy balance equation simplifies to ΔU = -W, where the work done by the system contributes to the change in internal energy.
Isothermal Process: In this case, the temperature remains constant (ΔU = 0). The energy balance equation becomes Q = W, indicating that the heat added to the system is fully converted into work.
Isobaric Process: Here, the pressure remains constant. The energy balance equation can be written as ΔU = Q - PΔV, where P is the constant pressure and ΔV is the change in volume. This equation accounts for both heat transfer and work done against the constant pressure.
Therefore, by applying appropriate schematics and considering the specific conditions of a given scenario, one can deduce the explicit form of the energy balance equation and understand the interplay between heat, work, and the change in internal energy.
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Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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Find the Y Intercepts of the equation:
f(x) = 1/x+2 - 4
1. (-1.5, ?)
2. (-1, ?)
3. (0, ?)
4. (-3, ?)
5. (-2.5, ?)
6. (-4, ?)
Answer:
the answer is 3.(0,?)..
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.) 2x x 7
Answer:
14x
Step-by-step explanation:
2x*7=
2*7=14x
In a classroom, there are 3 boxes of the exact same size and shape resting on a shelf. One box contains 1.0 kg of pencils, one contains 1.2 kg of paperclips, and one contains 0.5 kg of rubber bands. Which box has the greatest inertia?
Box 2 containing 1.2 kg of paperclips has the greatest mass, and thus the greatest inertia among the three boxes.
Inertia is a property of a body due to which it resists any change in its state of rest or motion.
When we talk about the greatest inertia among three boxes of the exact same size and shape, it is important to know that inertia is directly proportional to mass.
So, the box that has the greatest mass will have the greatest inertia.
Now, we have to find the box that has the greatest mass.
The mass of the boxes are as follows:
Box 1 containing 1.0 kg of pencils
Box 2 containing 1.2 kg of paperclips
Box 3 containing 0.5 kg of rubber bands
Therefore, Box 2 containing 1.2 kg of paperclips has the greatest mass, and thus the greatest inertia among the three boxes.
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. Dillion deposits $150 into his account. One week later, he withdraws $26. Write an addition expression to represent this situation. How much higher or lower is the amount in his account after these two transactions?
Answer:
\(Expression = x + 150 +(- 26)\)
$124 higher
Step-by-step explanation:
Given
\(Deposit = \$150\)
\(Withdrawal = \$26\)
Required
Represent the situation
Determine how much higher or lower is the remaining amount
Let the initial amount in his account be represented with x
When he deposited, the balance becomes
\(Balance = x + 150\)
When he withdrew, the balance becomes
\(Balance = x + 150 + (-26)\)
Hence, the algebraic expression is
\(Expression = x + 150 +(- 26)\)
Calculating how much higher or lower
\(Balance = x + 150 + (-26)\)
Open bracket
\(Balance = x + 150 -26\)
\(Balance = x + 124\)
Recall that the initial amount in the account is x
The difference between the balance and the x is as follows
\(Difference = x + 124 - x\)
\(Difference = \$124\)
Hence, the account has a higher of $124 after both transactions
andre came up with the following puzzle. i am three years younger than my brother 2 years older than my sister. my mom's age is one less than three times my brother's age. when you add all are ages you get 87. what are our ages?
try to solve the puzzle
Answer:
Andre is: 13
Andre's brother is: 16
Andre's sister is: 11
Andre's mom is: 47
Add all their ages up and the total will be 87.
HELP Did you know that chickens sometimes eat vegetables and fruits? A farmer likes to give the chickens apples to share. The farmer observes that 3 chickens eat 5 apples. What is the ratio of the number of chickens to apples?
5:2?
5:3?
2:5?
3:5?
Answer:
3:5
Step-by-step explanation:
What is a counterexample to this claim? Dividing a number by 2 always results in a smaller number.
Given:
Dividing a number by 2 always results in a smaller number.
To find:
The counterexample to the given claim.
Solution:
If 0 is divided by is divided by any non-zero real number \(a\), then
\(\dfrac{0}{a}=0\)
Let us consider the unknown number be 0. Then dividing a number by 2, we get
\(\dfrac{0}{2}=0\)
Here, the result is not a smaller number because \(0=0\).
Therefore, the counterexample to the given claim is "Dividing 0 by 2".
Answer:
-1
Step-by-step explanation:
How do you simplify the fractions 4/5 + 3/4 in lowest terms
Answer:
31/20
Step-by-step explanation:
First we find the greatest common denominator, for 5 and 4, that is 20.
\(\frac{4}{5} *\frac{4}{4} +\frac{3}{4}*\frac{5}{5} = \frac{16}{20} +\frac{15}{20} = \frac{31}{20}\)
Since 31/20 isn't able to be simplified because 31 is a prime number, this is your final answer.
find the value of k , the effective spring constant. use 16.0 and 12.0 atomic mass units for the masses of oxygen and carbon, respectively
To find the value of the effective spring constant (k), we are given the masses of oxygen (16.0 atomic mass units) and carbon (12.0 atomic mass units). We will use this information to determine the value of k.
The effective spring constant (k) is a measure of the stiffness of the spring and is usually given in units of force per unit length or mass per unit time squared. In this case, we need to determine k based on the masses of oxygen and carbon.
To find k, we can use the formula for the effective spring constant in a molecular vibration system, which is given by:
K = (ω^2)(μ)
Where ω is the angular frequency of the vibration and μ is the reduced mass of the system.
Since we are given the masses of oxygen and carbon, we can calculate the reduced mass (μ) as follows:
Μ = (m1 * m2) / (m1 + m2)
Where m1 and m2 are the masses of oxygen and carbon, respectively.
Using the given masses:
M1 = 16.0 atomic mass units (oxygen)
M2 = 12.0 atomic mass units (carbon)
We can substitute these values into the equation for μ:
Μ = (16.0 * 12.0) / (16.0 + 12.0)
= 192.0 / 28.0
≈ 6.857 atomic mass units
Now, to find the value of k, we need the angular frequency (ω) of the vibration. Unfortunately, the angular frequency is not provided in the given information. Without the angular frequency, we cannot determine the exact value of k.
Therefore, we can calculate the reduced mass (μ) using the given masses of oxygen and carbon, but we cannot find the value of k without the angular frequency.
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find the perpendicular (4, -1); y = 2x -4
Answer:
y = - \(\frac{1}{2}\) x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 4 ← is in slope- intercept form
with slope m = 2
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , then
y = - \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (4, - 1 ) into the partial equation
- 1 = - 2 + c ⇒ c = - 1 + 2 = 1
y = - \(\frac{1}{2}\) x + 1 ← equation of perpendicular line
Figure ABCD has vertice A (5,9) B (7,5) C (5,1) D (3,5)
Which names describe ABCD?
I need someone to explain
Answer:
x= 26/5= 5 1/5= 5.2y= 17/5= 3 2/5= 3.4Step-by-step explanation:
explain what ? what is the question here ?
to find the intersecting point of both lines ?
if that is the case, then please consider that an intersection point is a point, where both equations deliver the same coordinates. it is the same point for both of them.
in other words, the question is for what pair of (x, y) are both equations true (their left and right sides are equal).
we do this by finding a way to express one variable by an expression in the other variable, and then use that identity in one of the equations to solve for the remaining variable. and then we use that in the other equation to solve for the first variable.
line b gives us such an identity right away.
y = (-1/2)x + 6
we can use that in the line a equation :
2x - ((-1/2)x + 6) = 7
2x + (1/2)x - 6 = 7
2x + (1/2)x = 13
(4/2 + 1/2)x = 13
(5/2)x = 13
5x = 26
x = 26/5 = 5.2
y = (-1/2)×5.2 + 6 = -2.6 + 6 = 3.4
Compare. Write <, >, or =
18 – 2 O 4 - 18
What is the answer to this pls help
Answer: 18<204>18
Step-by-step explanation:
Train A runs back and forth on an east-west section of railroad track. Train A’s velocity, measured in meters per minute, is given by a differentiable function vA(t) where time t is measured in minutes. Selected values for vA(t) are given in the table below.t (Minutes) 0 2 5 8 12vA(t)(meters/minute) 0 100 40 -120 -150Find the average acceleration of train A over the interval 2 ≤ t ≤ 8.
The average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.
Explanation:
The average acceleration of a body over a given time interval is defined as the change in velocity divided by the time interval. In this case, we are given the velocity function vA(t) for Train A, and we want to find its average acceleration over the interval 2 ≤ t ≤ 8.
To find the change in velocity over this interval, we can subtract the velocity at t=2 from the velocity at t=8:
Δv = vA(8) - vA(2) = (-120) - 100 = -220 meters per minute
To find the time interval, we can subtract 2 from 8:
Δt = 8 - 2 = 6 minutes
Now we can use the formula for average acceleration:
a = Δv/Δt = (-220)/6 = -40 meters per minute squared
Therefore, the average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.
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3 times a Numbers plus 12 is more than 15?
Answer:
2,3,4,5,6,7,8,9 etc
Step-by-step explanation:
Answer:
3x + 12 > 15
this can be simplified to
x > 1
Step-by-step explanation:
:D
Every day, Kathleen‘s burritos stand uses 3/8 of a bag of tortillas. For how many days will 1 1/8 bag of tortillas last.
Answer:
3 days
Step-by-step explanation:
x is the number of days Kathleen's burritos stand use
3/8x = 1 1/8
x = (1 1/8)/(3/8) = (9/8)/(3/8) = (9/8)x(8/3) = 9/3 = 3
Answer:
3 days.
Step-by-step explanation:
1 1/8 / 3/8
= 9/8 / 3/8
= 9/8* 8/3
= 9/3
= 3.