A crane cable can support a maximum load of 17,000 kg. If a bucket has a mass of 3,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane? Enter any fractions as reduced improper fractions.

Answer:

1 hour or 60 minutes.

Answer:

nearest percentage=64%

Step-by-step explanation:

math

Answer:

4x-12

Step-by-step explanation:

original------------------------ 4(x-3)

Distribute--------------------- (4 x X) -  (4 x 3)

After Distrinuting----------4x-12

Hope this helps :P

Answer:

x=33

Step-by-step explanation:

(x+20)+(4x-5)=180

5x+15=180

5x=165

x=33

Answer:

Answer 3 (y=55x+20)

Step-by-step explanation:

The question says 55 each, meaning we don't know how much so u put x after 55. 20 is the additional cost that you pay only once.

Answer:

G

Step-by-step explanation:

Area of square = 8 m²

Side * side = 8

         side = √8

         side = 2.82

        Side = 2.8 m

Answer:

G 2.8

Step-by-step explanation:

Answer:

it's c

Step-by-step explanation:

c is the answer becuse its showing u that ob is perpenlicular to Ac

Answer:

\(5(4x-5)(4x+5)\)

Step-by-step explanation:

\(80x^2-125= \\\\5(16x^2-25)= \\\\5(4x-5)(4x+5)\)

Hope this helps!

Answer:

5( 4x-5)(4x+5)

Step-by-step explanation:

80x^2 – 125

Factor out a 5

5( 16 x^2 - 25)

Inside the parentheses is the difference of squares

5 ( (4x)^2 - 5^2)

We know the difference of squares is  (a^2 - b^2) = (a-b) (a+b)

5( 4x-5)(4x+5)

Answer:

27

Step-by-step explanation:

Answer:

In Total: 27,300 Thousand's: 27,000's

Step-by-step explanation:

26000 + 1300 = 27,300

(I may be wrong)

Answer:

Hi! Your answer is going to be the one with -1 (x) , 15 (y).

Step-by-step explanation:

This is a quadratic function, not a linear function. Hope this helps!

The steps in evaluating each of the following expressions is shown below.

An expression is a mathematical equation which shows the relationship that exist between two or more numerical quantities or variables.

15 - 35/7 - 2 + 3 - 4

15 - (35/7) - 2 + 3 - 4 (bracket and division)

15 - 5 - 2 + 3 - 4 (regroup)

15 + 3 - 5 - 2 - 4 (subtract and add)

18 - 11 = 7.

10 + 2(9 - 5) - 16/18

10 + (2 × 4) - 8/9 (bracket and division)

10 + 8 - 8/9 (add)

18 - 8/9 (subtract)

162/9 - 8/9 = 17 1/9 or 154/9.

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Complete Question:

Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.

A. 15 - 35/7 -2 + 3 -4

B. 10 + 2(9 - 5) - 16/18

Probability that participants prefer Saga Genesis, given that the person is between the ages of 13 and 24 = 0.08

The number of participants between 13 and 24 that prefer Saga genesis = 84 + 83

The number of participants between 13 and 24 that prefer Saga genesis = 167

The total number of gamers = 1990

Probability that participants prefer Saga Genesis, given that the person is between the ages of 13 and 24 = 167/1990

Probability that participants prefer Saga Genesis, given that the person is between the ages of 13 and 24 = 0.08

Answer:

Step-by-step explanation:

Each boundary line equation is of the form ...

  y = mx + b

the value of m is the coefficient of x. The value of b is the constant. You find their values by matching the given relation to the form above, and identifying the matching parts.

  y ≤ 1/2x +2   ⇒   m = 1/2, b = 2

  y < -2x -3   ⇒   m = -2, b = -3

_____

The slope (m) in each case tells you how many units up (m>0) or down (m<0) the line will go for each unit to the right. The y-intercept (b) in each case gives you a starting point on the y-axis, making it easier to draw the line.

The < part of each inequality symbol tells you the graph will be shaded below the boundary line. (Y-values in the solution set are less than those on the line.) The "or equal to" part of the first inequality symbol tells you the boundary line will be solid. (Y-values on that line are part of the solution set.) The lack of that in the second inequality tells you the boundary line will be dashed.

The graph is shown in the attachment.

The probability that the restaurant will receive two or more complaints in the next week is approximately 0.907.

Given that a fast food restaurant keeps record of the number of customer complaints per week and it has had 4 complaints per week. Assume that the number of complaints follows a Poisson distribution. We need to find the probability that the restaurant will receive two or more complaints in the next week. To find the probability of two or more complaints in the next week, we need to subtract the probability of zero or one complaint from 1, since the sum of all probabilities is 1.

So ,P(X ≥ 2) = 1 - P(X < 2). Now, the probability of having no complaints P(X = 0) = (e^-λλ^x)/x!

Putting x = 0 and λ = 4,P(X = 0) = (e^-4 4^0)/0! = 0.0183Approximately P(X = 0) = 0.02

Now, the probability of having one complaint P(X = 1) = (e^-λλ^x)/x!

Putting x = 1 and λ = 4,P(X = 1) = (e^-4 4^1)/1! = 0.0733Approximately P(X = 1) = 0.073

So, P(X < 2) = P(X = 0) + P(X = 1)P(X < 2) = 0.02 + 0.073 = 0.093

Therefore, P(X ≥ 2) = 1 - P(X < 2)P(X ≥ 2) = 1 - 0.093P(X ≥ 2) = 0.907

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The tests commonly used to determine the strength properties of such materials are 3-point load test, direct tension test, cylinder split test.

In this method, a lone loading along length is applied at diametrically end points. Due to this loading cylinder splits into two parts.

Brittle ceramics are typically not subjected to tensile tests. These materials are challenging to mold into the right test structure, they are challenging to handle without breaking, and it is challenging to align the test samples to prevent bending stresses that could damage the samples.

A three-point bending apparatus is used to measure the stress-strain behavior of brittle ceramics, and from the results, an equivalent modulus of elasticity is calculated.

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This question is incomplete

Complete Question

A baker uses 5.5 Ibs of flour daily

The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?

Answer:

51.3 loaves of bread

Step-by-step explanation:

Converting 5.5 Ibs to oz (ounces)

1 Ibs =>12 oz

5.5 Ibs => x

Cross Multiply

12 × 5.5 => 88 oz

1 loaf of bread =>12 oz

Hence, in 1 day

12 oz =>1 loaf of bread

88 oz => x

x =>88 oz/ 12 oz

x => 7.3333333333 loaves of bread

Hence, he can make 7.3333333333 loaves of bread in 1 day

Hence, in 7 days

1 day => 7.3333333333 loaves

7 days => x

x => 7 × 7.3333333333 loaves

x => 51.333333333 loaves of bread

Approximately => 51.3 loaves of bread

a)P(1, -1) is ∇f(1, -1) = [2e(-1)², 2e(1)(-1)²] = [2e, -2e]

b) ∇f(1, -1) · v = [2e, -2e] · [2/√13, 3/√13] = 4e/√13 - 6e/√13 = -2e/√13.

c) the maximum rate of change is 2e√2

a. The gradient of f(x, y) at point P(1, -1) is ∇f(1, -1) = [2e(-1)², 2e(1)(-1)²] = [2e, -2e].

b. To find the directional derivative of f at P(1, -1) in the direction of Q(2, 3), we normalize the direction vector of Q. Let v = [2, 3] / sqrt(2² + 3²) = [2/√13, 3/√13]. The directional derivative is Dvf(1, -1) = ∇f(1, -1) · v = [2e, -2e] · [2/√13, 3/√13] = 4e/√13 - 6e/√13 = -2e/√13.

c.The maximum rate of change of f at P(1, -1) occurs in the direction of the gradient ∇f(1, -1) = [2e, -2e]. The magnitude of the gradient is |∇f(1, -1)| = sqrt((2e)² + (-2e)²) = sqrt(4e² + 4e²) = sqrt(8e²) = 2e√2. Therefore, the maximum rate of change is 2e√2, and it occurs in the direction of [2e, -2e].

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Answer:

Step-by-step explanation:

7. 2/5

8. 3/5

9. 2/5

10. 2/5

Answer:

Number 7: 2/5 chance or 40%

Number 8: 4/5 or 80% chance

Number 9: 2/5 chance

Number 10: 2/5 chance

Step-by-step explanation:

For each one, you put the total number of polygons at the bottom of the fraction or the denominator and the number of how many of them answer the question as the numerator.

ANSWER

y = 14x + 3

EXPLANATION

We have the table that gives the values of x and y.

We want to find the linear equation that describes the data.

The general form of a linear equation is:

y = mx + c

where m = slope

c = intercept

So, we have to find the slope of the equation first.

We do that by using:

where (x1, y1) and (x2, y2) are two sets of data from the table.

Let us pick (x1, y1) as (0, 3) and (x2, y2) as (2, 31)

So, we have that:

Now, we use the point-slope method to find the equation:

y - y1 = m(x - x1)

=> y - 3 = 14(x - 0)

y - 3 = 14x

=> y = 14x + 3

That is the equation.

Finally, we can round the result to the nearest whole number to get the estimated number of people infected at the end of week t=12.

We can use the given information to find the growth rate of the exponential function and then use it to estimate the number of people infected at the end of week t=12.

Let's consider the general form of an exponential function: f(t) = a * e^(kt), where a is the initial value and k is the growth rate.

Using the given information, we have the following equations:

f(2) = a * e^(2k) = 5 ----(1)

f(5) = a * e^(5k) = 16 ----(2)

Dividing equation (2) by equation (1), we can eliminate the constant 'a':

f(5) / f(2) = (a * e^(5k)) / (a * e^(2k))

16 / 5 = e^(5k - 2k)

16 / 5 = e^(3k)

Taking the natural logarithm of both sides, we can solve for 'k':

ln(16 / 5) = ln(e^(3k))

ln(16 / 5) = 3k

Now we can solve for 'k':

k = ln(16 / 5) / 3

Substituting the value of 'k' back into equation (1), we can find 'a':

5 = a * e^(2 * ln(16 / 5) / 3)

Now we have the values of 'a' and 'k' to form our exponential function. We can use this function to estimate the number of people infected at the end of week t=12:

f(12) = a * e^(12k)

Substituting the values of 'a' and 'k' we found:

f(12) = (value of 'a') * e^(12 * (value of 'k'))

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Answer:

1500/150 = x

Step-by-step explanation:

If he has $1500 in the bank and spends $150 a week, you have to solve how many weeks that is, which is x. So you would have divison. You're answer would be 1500/150 = x, I believe.

Therefore, the equation x weeks = $150x is the answer.

Hoped this helped.

\(BrainiacUser1357\)

Answer:B and D

Step-by-step explanation:big brain

Answer:

10

Step-by-step explanation:

Rules for rounding:

5 or above give it a shove

4 or below Let it go

Let it go means go to the lower tens place rather than the higher

Answer:

theres no question

Step-by-step explanation:

1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Answer:

175

Step-by-step explanation:

hey! so it's basically an "estimate" meaning that you can round all the measurements up to the nearest whole number. and since finding the prism's volume is l*h*w divided by 2, i did 7*5*10 and got 350. half of 350 is 175 which is the volume of the prism :)

Answer:

175

Step-by-step explanation:

the formula of triangular prism is

v = 1÷2( b×h×l)

base (b) =5.1cm

height( h) = 6.9

length ( l) = 9.9

v =1÷2 ( 5.1 × 6.9× 9.9 )

v = 174.19 cm^3

so th closest will be 175cm^3

Answer:

3x-x+2=4

Step-by-step explanation:

Based on your question, it sounds like you are asking about random variables that have a joint probability density function (PDF) of 1/50 over a certain range of values.

In probability theory, a random variable is a variable whose value is determined by chance. It can take on a range of possible values, and the probabilities of each possible value occurring can be described using a probability distribution.

A joint probability density function is a function that describes the probabilities of two or more random variables taking on specific values simultaneously. In your case, you have two random variables that have a joint PDF of 1/50.

Without knowing the specific range of values over which the PDF is defined, it's hard to provide a more detailed answer. However, here are a few general observations about random variables and joint PDFs:

- Random variables can be either discrete or continuous. Discrete random variables take on specific, countable values (e.g. the number of heads in a series of coin tosses), while continuous random variables can take on any value within a certain range (e.g. the height of a randomly selected person).
- A joint PDF is typically used to describe the behavior of two or more continuous random variables. It gives the probability density at each point in the two-dimensional space defined by the values of the two variables.
- The total probability over the entire range of values for a joint PDF must sum to 1. This ensures that the probability of all possible outcomes occurring is equal to 1.

I hope this helps! If you have any further questions or clarifications, please let me know.
It seems that you are asking about random variables with a joint probability density function (pdf) of 1/50. Random variables are quantities that can take on different values according to some probability distribution. When two or more random variables are considered together, their relationship can be described using a joint pdf. In this case, the joint pdf is 1/50, indicating that the probability of a specific combination of these random variables is 1/50.

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