For evrey 500g of reactants, 3. 1 g of catalyst were required. How much catalyst was required for 900g of reactants

Answer:

1. (a+b)²/a.b/(a+b)(a-b)

Answer:

what are you saying

Step-by-step explanation:

The value of the integral is 8pi/5^5. To evaluate this expression, we need to set up the triple integral in spherical coordinates, since the ball has a spherical shape with center at the origin.

We have:

yyyb sx^2 + y^2 + z^2 dV

In spherical coordinates, we have:

x = r sin(phi) cos(theta)
y = r sin(phi) sin(theta)
z = r cos(phi)

where r is the distance from the origin to the point (x, y, z), phi is the angle between the positive z-axis and the line connecting the origin to the point, and theta is the angle between the positive x-axis and the projection of the line onto the xy-plane.

Since the ball has center at the origin and radius 5, we have:

0 <= r <= 5
0 <= phi <= pi
0 <= theta <= 2pi

Using the Jacobian transformation, we have:

dV = r^2 sin(phi) dr dphi dtheta

Substituting into the integral, we have:

yyyb sx^2 + y^2 + z^2 r^2 sin(phi) dr dphi dtheta

= yyyb s(r^4 sin(phi)) dr dphi dtheta

= s(0 to 5) s(0 to pi) s(0 to 2pi) r^4 sin(phi) dr dphi dtheta

= s(0 to 5) r^4 dr s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) (2)(2pi) s(0 to pi) sin(phi) dphi

= (1/5^5) (2)(2pi) (2)

= 8pi/5^5

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False. The Six Sigma DMAIC approach is one of many problem-solving methods that can be used, and is most appropriate when the problem is complex and the potential solutions are not immediately evident.

Six Sigma DMAIC (define, measure, analyze, improve, control) is a strategy used to improve processes and products. It is designed to help companies identify and eliminate defects and reduce variability in their processes. It is not the best way to attack all problems, as there are many other problem-solving methods, such as Design Thinking and Lean, that may be more suitable solution depending on the complexity of the problem.

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Answer:

10•b=120

Step-by-step explanation:

10•b=120 is the equation your looking for, if your trying to find out what the variable equals then b=12

Answer:

a. Sage and Tom have the same number of talk minutes left on their cell phone plans.

b. y = x - 7

Explanation:

Sage talked for 7 minutes with her dad.

Tom talked for 4 minutes with a friend and 3 more minutes with his mom which means he spoke for :

= 4 + 3

= 7 minutes

They both spoke for 7 minutes and therefore have the same amount of time left.

Algebraic expression:

Assuming the time Tom started with is denoted by x and the time he is left with is denoted by y.

The expression is:

y = x - 7

Answer:

22

Step-by-step explanation:

10+11=21

.05+.05=1

1+21=22

Answer:

thanks

Step-by-step explanation:

45 kg of one nut and 45 kg of another nut should be mixed in order to get 60 kg of a mixture worth $4.80kg.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

One nut = x kg

Cost = $5

Other nuts = y kg

Cost = $4.20

Now,

From the given statement we can make two equations.

x + y = 60

x = 60 - y

Substituting here,

5x + 4.20y = 4.80

5 (60 - y) + 4.20y = 4.80 x 60

300 - 5y + 4.20y = 288

300 - 288 = 5y - 4.20y

12 = 0.8y

y = 12/0.8

y = 15

Now,

x = 60 - 15

x = 45

Thus,

45 kg of one nut and 45 kg of another nut.

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27, p = 3, q = 5, and 125 are four consecutive terms in a geometric sequence.

To solve the given problems, let's go step by step:

a. Show that a = 8:

We are given the point (2/3, 4) on the graph of f(x) = a^x. We can substitute these values into the equation to find a:

4 = a^(2/3)

To isolate a, we raise both sides to the power of 3/2:

(4)^(3/2) = (a^(2/3))^(3/2)

8^3 = a^2

512 = a^2

Taking the square root of both sides:

a = ±√512

Since a > 1, we take the positive square root:

a = √512 = 8

Therefore, a = 8.

b. Write down an expression for f^(-1)(x):

To find the inverse function of f(x) = a^x, we can switch the roles of x and y and solve for y.

Let y = f(x) = a^x.

Swap x and y:

x = a^y

Now solve for y:

log_a(x) = y

Therefore, the inverse function f^(-1)(x) is:

f^(-1)(x) = log_a(x)

c. Find the value of f^(-1)(√32):

We have f^(-1)(x) = log_a(x), and we want to find f^(-1)(√32). Plugging in √32 into the inverse function:

f^(-1)(√32) = log_a(√32)

To simplify, we can rewrite √32 as 2√8:

f^(-1)(√32) = log_a(2√8)

Using logarithmic properties, we can separate the terms:

f^(-1)(√32) = log_a(2) + log_a(√8)

Since a = 8 (as shown in part a), we substitute a = 8:

f^(-1)(√32) = log_8(2) + log_8(√8)

Using the property log_b(b^x) = x, we simplify further:

f^(-1)(√32) = 1/3 + 1/2

f^(-1)(√32) = 5/6

Therefore, f^(-1)(√32) = 5/6.

d. Show that 27, p, q, and 125 are four consecutive terms in a geometric sequence:

We are given the arithmetic sequence log_g27, log_gp, log_gq, log_g125.

To show that 27, p, q, and 125 are four consecutive terms in a geometric sequence, we need to show that the common ratio between consecutive terms is the same.

The common difference of an arithmetic sequence is the same as the logarithmic difference between consecutive terms. So, let's find the logarithmic difference between consecutive terms:

log_gp - log_g27 = log(g, p) - log(g, 27) = log(g, p/27)

log_gq - log_gp = log(g, q) - log(g, p) = log(g, q/p)

log_g125 - log_gq = log(g, 125) - log(g, q) = log(g, 125/q)

To show that the common ratio is the same, we need to equate these differences:

log(g, p/27) = log(g, q/p) = log(g, 125/q)

This implies:

p/27 = q/p = 125/q

We can rearrange

these equations:

p^2 = 27q

q^2 = 125p

Multiplying the first equation by p and the second equation by q, we get:

p^3 = 27pq

q^3 = 125pq

Since p > 1 and q > 1, we can divide both equations by pq:

p^2 = 27

q^2 = 125

Taking the square root of both sides:

p = √27 = 3

q = √125 = 5

Therefore, 27, p = 3, q = 5, and 125 are four consecutive terms in a geometric sequence.

e. Find the value of p and the value of q:

From the previous part, we found that p = 3 and q = 5.

Therefore, the value of p is 3, and the value of q is 5.

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x = -2 and y = -10 is the solution of the equations y = 8x +6 and 10x - 5y = 30.

What is Substitution method to solve equations?

The method of substitution involves three steps: Solve one equation for one of the variables. Substitute (plug-in) this expression into the other equation and solve. Resubstitute the value into the original equation to find the corresponding variable. he substitution method is the algebraic method to solve simultaneous linear equations.

Given Equations :

y = 8x +6

10x - 5y = 30

A) Solve equation [1] for the variable  y

    [1]    y = 8x + 6

B)  Plug this in for variable  y  in equation [2]

  [2]    -5•(8x+6) + 10x = 30

  [2]     - 30x = 60

C)  Solve equation [2] for the variable  x

  [2]    30x = - 60

  [2]    x = - 2

D)  By now we know this much :

   y = 8x+6

   x = -2

E)  Use the  x  value to solve for  y      y = 8(-2)+6 = -10

Solution : {y,x} = {-10,-2}

Hence , x = -2 and y = -10 is the solution of the equations y = 8x +6 and 10x - 5y = 30.

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Step-by-step explanation:

I suspect this to be a trick question.

because 2 statements are correct :

B and C.

according to the definition, two triangles are similar if their corresponding angles are congruent (identical) and corresponding sides are proportional (the ratio between the length of corresponding sides is equal for all pairs of corresponding sides, or, in other words, there is one scale factor for all 3 pairs of corresponding sides).

in fact, each criteria alone is sufficient.

if all 3 corresponding angles are identical between both triangles, the corresponding pairs of sides will be proportional.

if all 3 pairs of corresponding sides are proportional, then the corresponding angles are identical.

and the triangles are similar.

Answer:

3.  

If a conditional statement is written in the form “If p then q”, how is the inverse of the conditional statement written?

If not q, then not p

If not p, then not q  

If not q then p

If not p then q

To write the inverse of a conditional statement, you use the "opposite" of the hypothesis and the conclusion in a conditional statement.

Step-by-step explanation:

Contrapositive statement of "if p then q" written as If not q, then not p which is correct option (C).

Contrapositive of the conditional statement is defined as interchange the hypothesis and the conclusion of the inverse statement.

Contrapositive statement of "if p then q" written as If not q, then not p

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The left-hand limit of f(x) at x = 1 is Jex, and the right-hand limit is 1.

To find the left-hand and right-hand limits of the function f(x) at the given value of a, we need to evaluate the function as x approaches 1 from the left and from the right.

Let's start with the left-hand limit:

lim f(x) as x approaches 1 from the left

Since the function f(x) is defined differently for x < 1 and x ≥ 1, we only need to consider the first part of the function when x < 1. In this case, f(x) = Jex. As x approaches 1 from the left, the value of f(x) will approach Jex.

Now let's consider the right-hand limit:

lim f(x) as x approaches 1 from the right

When x ≥ 1, the function f(x) is defined as x^2. As x approaches 1 from the right, the value of f(x) will approach 1^2 = 1.

So, the left-hand limit of f(x) at x = 1 is Jex, and the right-hand limit is 1.

Please note that the exact values of Jex and 1 will depend on the specific value of a, which is not provided in the question.

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\(\\ \rm\rightarrowtail -4(2x+1)\leqslant 3(x-5)\)

\(\\ \rm\rightarrowtail -8x-4\leqslant 3x-15\)

\(\\ \rm\rightarrowtail -11x\leqslant -11\)

\(\\ \rm\rightarrowtail x\geqslant 1\)

Answer:

x ≥ 1

Step-by-step explanation:

Given inequality :

-4(2x + 1) ≤ 3(x - 5)

Step 1 : Expand on both sides

Step 2 : Bring x terms to one side and numerical terms to the other

Step 3 : Divide by -11 on both sides

Solution

x ≥ 1

Answer:

2x-y+2= 0

Step-by-step explanation:

(-5,-2)=(x1, y1)

(3, 14) =(x2, y2)

now,

slope(m)= y2-y1 / x2-x1

=14+2 / 3+5

= 16 /8

=2 units

passing point = (-5,-2) = x1,y1

now,

eqn of the line can be represented as,

y -y1 = m (x-x1)

y +2 = 2 (x +5)

y+2 = 2x +10

y = 2x+10-8

0 = 2x+2-y

2x-y+2 =0 is the required eqn

Answer:

licker 90000000000000000

"If ""first"" is a pointer to a linked list, then it stores the memory address of the first node in the linked list

In a linked list, each node stores data and a reference (or pointer) to the next node in the list. The first node in the list is called the head or the first element, and the last node is called the tail or the last element. The ""first"" pointer points to the memory address of the head node in the linked list, which is the first element that we can access in the list.

Using the ""first"" pointer, we can traverse the linked list by following the references to the next nodes, until we reach the end of the list (which is indicated by a null reference).

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Answer:

I’ll help you just show me the question

Step-by-step explanation:

Answer: 8

Step-by-step explanation: on the left chain, there are 5 4’s, so 4 times 5 is 20 Because you know that, subtract it from 60 to only have the W’s values. So 60-20 is 40 and because there is 5 w’s do 40/5 is 8. Therefore, the value of the w’s is 8 and the value of the 4’s is 20

Answer:

1024.

Step-by-step explanation:

4x4x4x4x4= 1024

I hope this is correct and I hope this helps. My apologies if it´s wrong.

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

F+9 represents the sum of the functions f(x) and 9, which can be expressed as f(x) + 9. The domain of F+9 is the same as the domain of f(x), which is all real numbers.

F-9 represents the difference between the functions f(x) and 9, which can be expressed as f(x) - 9. The domain of F-9 is also all real numbers.

Fg represents the product of the functions f(x) and g(x), which can be expressed as f(x) * g(x) = x * sqrt(x). The domain of Fg is the set of non-negative real numbers, as the square root function is defined for non-negative values of x.

F/g represents the quotient of the functions f(x) and g(x), which can be expressed as f(x) / g(x) = x / sqrt(x) = sqrt(x). The domain of F/g is also the set of non-negative real numbers.

Step-by-step explanation:

When we add or subtract a constant from a function, such as F+9 or F-9, the resulting function has the same domain as the original function. In this case, the domain of f(x) is all real numbers, so the domain of F+9 and F-9 is also all real numbers.

When we multiply two functions, such as Fg, the resulting function is defined at the points where both functions are defined. In this case, the function f(x) = x is defined for all real numbers, and the function g(x) = sqrt(x) is defined for non-negative real numbers. Therefore, the domain of Fg is the set of non-negative real numbers.

When we divide two functions, such as F/g, the resulting function is defined where both functions are defined and the denominator is not equal to zero. In this case, the function f(x) = x is defined for all real numbers, and the function g(x) = sqrt(x) is defined for non-negative real numbers. The denominator sqrt(x) is equal to zero when x = 0, so we exclude this point from the domain. Therefore, the domain of F/g is the set of non-negative real numbers excluding zero.

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Answer:  Clara's body eliminated the antibiotic at the same rate as Heidi's body.

Step-by-step explanation:

1) Let's write the data of Clara's table just to have them ready to compare

t (hours)          1               2               3             4               5

f(t) (mg)         236.5    223.73      211.65     200.22       189.41

Change(mg)     -          -12.77       -12.05     -11.43      -10.81

2) Now calculate the amount of medicine as per Heide's formula, 300(0.946)^t:

t (hours)             1             2                 3             4               5

f(t) (mg)           283.8    268.48         253.98     240.26      227.29

Change (mg)                 -15.12          -14.5     -13.72          -12.97

Now you can compare the data and realize that the rate of change of Heide is greater than the rate of change of Clara, meaning that Heide eliminates the medicine faster than Clara.

In Listening 1.2, Miley Cyrus’ Wrecking Ball, identifying the difference in Verse, Chorus, and Bridge is quite easy.

The verse part of the song is the section that is generally sung in a lower key and can be regarded as the storytelling aspect of the song. The musical form or structure of the song, “Wrecking Ball” impacts the song's repeatability as it is designed to create a catchy, repeating theme that sticks in the listener's head.

Additionally, the predictability of the song's structure makes it easier for DJs to mix songs in clubs or at parties. My aesthetic response to the song is a bit mixed. This structure makes the song more engaging, and it is easy to get lost in the emotion of the song. Additionally, the repeating theme of the chorus makes it easier for the listener to sing along.

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The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.

The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.

The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.

By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.

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Enlarged in 14 1.76 will be 0.95. Therefore, in order to provide you at least a 0.95 likelihood of being able to cover the transportation costs and other fees, I would need to visit the business with a minimum of 176 individuals.

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