A machine fills 75 bottles of water each minute. Write an equation to represent the number of bottles b of water the machine can fill in m minutes.

Answer:

-7

Step-by-step explanation:

First, we need to substitute x in as 14 since that is what x is equal to.

1.  x / y  =>  14 / y

Next, we need to substitute y in as -2 since that is what y is equal to.

2.  14 / y  =>  14 / -2

Now to solve it;

3.  14 / -2  =>  -7

So now we now that x / y equals -7 when x = 14 and y = -2.

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Have an awesome day! Happy Thanksgiving!

Answer:

n = 24

Step-by-step explanation:

Given the fraction:

\($\frac{n}{n+101}$\)

To find:

Smallest positive integer \($n$\) such that the fraction is equal to a terminating decimal.

Solution:

The rule that a fraction is equal to a terminating decimal states that, the denominator must contain factors of only 2 and 5.

i.e. Denominator must look like \(2^m\times 5^n\), only then the fraction will be equal to a terminating decimal.

Now, let us have a look at the denominator, \(n+101\)

Let us use hit and trial method to find the value of \(n\) as positive integer.

n = 1, denominator becomes 102 = \(2 \times 3 \times 17\) not of the form \(2^m\times 5^n\).

n = 4, denominator becomes 105 = \(5 \times 3 \times 7\) not of the form \(2^m\times 5^n\).

n = 9, denominator becomes 110 = \(2 \times 5 \times 11\) not of the form \(2^m\times 5^n\).

n = 14, denominator becomes 115 = \(5 \times 23\) not of the form \(2^m\times 5^n\).

n = 19, denominator becomes 120 = \(5 \times 3 \times 2^3\) not of the form \(2^m\times 5^n\).

n = 24, denominator becomes 125 = \(2^0 \times 5 ^3\) It is of the form \(2^m\times 5^n\).

So, the answer is n = 24

Answer: 35+43c=164

Step-by-step explanation:

I worked it out

Answer:

The 12th term is 61

Step-by-step explanation:

I will assume that your a(n) = -5 + 6(n - 1) is correct; the rest is redundant (duplicative, unneeded).

To find the 12th term, substitute 12 for n in the above formula:

a(12) = -5 + 6(12 - 1) = -5 + 6(11) = 66 - 5, or 61

The 12th term is 61

Answer:

61

Step-by-step explanation:

Answer: The two angles are supplementary, meaning they add up to 180 degrees.

Therefore:

82 + x = 180

x = 98

x is equal to 98 degrees.

Step-by-step explanation:

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There is no solution if the boundary conditions are inconsistent, i.e., if y(0) ≠ y(L) = 1.

We are given the boundary-value problem:

y" + 16y = 0, y(0) = 1, y(L) = 1

The characteristic equation is r^2 + 16 = 0, which has roots r = ±4i.

The general solution to the differential equation is then y(x) = c1cos(4x) + c2sin(4x).

Using the boundary conditions, we get:

y(0) = c1 = 1

y(L) = c1cos(4L) + c2sin(4L) = 1

Substituting c1 = 1 into the second equation, we get:

cos(4L) + c2*sin(4L) = 1

Solving for c2, we get:

c2 = (1 - cos(4L))/sin(4L)

Thus, the general solution to the differential equation that satisfies the given boundary conditions is:

y(x) = cos(4x) + (1 - cos(4L))/sin(4L)*sin(4x)

Now, we can answer the questions:

(a) To have precisely one nontrivial solution, we need the coefficients c1 and c2 to be uniquely determined. From the above expression for c2, we see that this is only possible if sin(4L) is nonzero. Thus, if sin(4L) ≠ 0, there exists precisely one nontrivial solution.

(b) If sin(4L) = 0, then c2 is undefined and we have a family of solutions that differ by a constant multiple of sin(4x). Hence, there are infinitely many solutions.

(c) There is no solution if the boundary conditions are inconsistent, i.e., if y(0) ≠ y(L) = 1.

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Answer:

He told me that he was a nice fellow

I told him that he looked sad and tired

She told me that I was a clever person

She told them that they could pass their exams if they worked hard

Sabnam said that she had gone to the hospital the previous day

Shilpa said that she had been extremely nervous the previous week

Husaain said that they had gone to bed early the previous night

Rahul said that he had not taken a taxi home the previous night

The arrangement of the number from least to greatest is: \(-0.35, -0.7, 1/5, 0.95\).

We will start by identifying the smallest number which is -0.35. Next, we move on to the next smallest number which is -7/10.

It is important to note that negative numbers come before positive numbers when ordering from least to greatest, so, the next number in the set is 1/5, which is larger than -7/10 but smaller than 0.95

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The ball's height 2 seconds after it was kicked is 60 feet.

To find the ball's height 2 seconds after it was kicked, we need to substitute t = 2 into the height formula h = 6 + 59t - 16t².

So,h = 6 + 59t - 16t²

h = 6 + 59(2) - 16(2)²

h = 6 + 118 - 16(4)

h = 6 + 118 - 64

h = 124 - 64

h = 60

Therefore, the ball's height 2 seconds after it was kicked is 60 feet.

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Answer:

f(1) = 2 f(3) = 8 f(t) = 2^t

Step-by-step explanation:

you just plug in the number in the parenthesis next to f to x in the equation 2^x

Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

the numbers might be wrong

if one can holds 101,010 liters

just 777 liters will fill easily in one can

The formula for the area of a circle is \(\pi r^2\)

So if we have the first one...\(3.14*5^{2}\)≈78.5

Now you can solve the other ones with this formula! Good luck!

Answer:

B and a great deal on a spring break and a good time to get answer for the spread of Islam in the Horn of the following elements has your examination and your

Driving a personal car would be the most cost-effective mode of transportation for this commute, with a total daily cost of approximately $4.60 ($3.60 for gas + $1 for travel time).

Based on the given information, the most cost-effective mode of transportation for this commute would be to drive a personal car. Taking public transportation or carpooling may be more environmentally friendly options, but they may not save as much money as driving alone.

Assuming an average speed of 60 miles per hour on the highway, the commute would take approximately 20 minutes each way, or 40 minutes round-trip. This means the total cost of travel time for each workday would be $40 ($60/hour x 2/3 hour).

Using a cost calculator such as GasBuddy, we can estimate that the cost of driving 20 miles per day (round-trip) would be around $3.60 per day, assuming an average fuel efficiency of 25 miles per gallon and a gasoline price of $2.50 per gallon.

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Step-by-step explanation:

cos60° = Adjacent/Hypotenuse = a/42.

=> a = 42cos60° = 21.

sin60° = Opposite/Hypotenuse d/42.

=> d = 42sin60° = 42(√3/2) = 21√3.

tan30° = Opposite/Adjacent = d/b.

=> b = d / tan30° = (21√3) / (1/√3) = 63.

sin30° = Opposite/Hypotenuse = d/c.

=> c = d / sin30° = (21√3) / (1/2) = 42√3.

The Z corresponding to P28 for the standard normal curve is approximately -0.556. The 80th percentile for a normally distributed random variable X with a mean of 36 and a standard deviation of 3 is approximately 38.5248.

To compute Z corresponding to P28 for the standard normal curve, we need to find the Z-score that corresponds to the cumulative probability of 0.28. We can use a standard normal distribution table or a calculator to find this value.

Looking up the cumulative probability of 0.28 in a standard normal distribution table, we find that the corresponding Z-score is approximately -0.556.

Therefore, Z = -0.556.

Now, to find the 80th percentile for a normally distributed random variable X with a mean of 36 and a standard deviation of 3, we can use the Z-score formula.

The 80th percentile corresponds to a cumulative probability of 0.80. We need to find the Z-score that gives this cumulative probability.

Using a standard normal distribution table or a calculator, we find that the Z-score corresponding to a cumulative probability of 0.80 is approximately 0.8416.

To find the value of X, we can use the formula:

X = mean + (Z * standard deviation)

Substituting the values:

X = 36 + (0.8416 * 3)

  = 36 + 2.5248

  ≈ 38.5248

Therefore, the 80th percentile for the normally distributed random variable X is approximately 38.5248.

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To construct a truth table for the given logical expression using De Morgan's Law, we'll break it down step by step and apply the law to simplify the expression.

Let's start with the given expression:

Xyz + X(Y Z)' + X'(Y + Z) + (Xyz)' (X + Y')(X' + Z')(Y' + Z')

Step 1: Apply De Morgan's Law to the term (Xyz)'

(Xyz)' becomes X' + y' + z'

After applying De Morgan's Law, the expression becomes:

Xyz + X(Y Z)' + X'(Y + Z) + (X' + y' + z')(X + Y')(X' + Z')(Y' + Z')

Step 2: Expand the expression by distributing terms:

Xyz + XY'Z' + XYZ' + X'Y + X'Z + X'Y' + X'Z' + y'z' + x'y'z' + x'z'y' + x'z'z' + xy'z' + xyz' + xyz'

Now we have the expanded expression. To construct the truth table, we'll create columns for the variables X, Y, Z, and the corresponding output column based on the expression.

The truth table will have 2^3 = 8 rows to account for all possible combinations of X, Y, and Z.

Here's the complete truth table:

```

| X | Y | Z | Output |

|---|---|---|--------|

| 0 | 0 | 0 |   0    |

| 0 | 0 | 1 |   0    |

| 0 | 1 | 0 |   0    |

| 0 | 1 | 1 |   1    |

| 1 | 0 | 0 |   0    |

| 1 | 0 | 1 |   0    |

| 1 | 1 | 0 |   1    |

| 1 | 1 | 1 |   1    |

```

In the "Output" column, we evaluate the given expression for each combination of X, Y, and Z. For example, when X = 0, Y = 0, and Z = 0, the output is 0. We repeat this process for all possible combinations to fill out the truth table.

Note: The logical operators used in the expression are:

- '+' represents the logical OR operation.

- ' ' represents the logical AND operation.

- ' ' represents the logical NOT operation.

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Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

44/44=1 and 44+1 equals 45 :)

Answer: A

Step-by-step explanation:

This is a system of inequalities... so let's start with age. They said "at least 12 years old", which means that the person CAN BE 12. So this person must be 12+. So this inequality is represented as (age ≥ 12)- 12 or older.

Height: they say that the person must be between 50 & 80 inches tall, INCLUSIVE- which means that the person CAN BE 50 or 80 incles tall as well. Let's start with 50. The person must be 50 inches or taller, so that's represented as (height ≥ 50). The person must also be 80 inches or less, which is represented as (height ≤ 80). Now, we must remember that you need to be within ALL of these inequalities to be able to ride the ride, so NONE OF THESE are either/or statements. The person MUST BE 12 or older, they MUST BE 50 inches or more, and they MUST BE 80 incles or less. Hence, our answer is A.

Hope that helped!

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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Answer:

Below in bold.

Step-by-step explanation:

The side AD is horizontal( as both y coordinates are 5).

Therefore its length is -1 - (-6) = 5 units.

The side AB is vertical and  length is 5 --4 = 9.

From the coordinates the figure is a rectangle

Area = 5*9 = 45 unit^2.

Answer:

Step-by-step explanation:

Hi, there.

_______

Using the words LESS and TRIPLE:

9 less (-9) than triple x (3x) is (or yields, or is equivalent to) 45.

Hope the answer - and explanation - made sense,

happy studying!!!

The total number of seats are 1260 in an auditorium.

The number of seats will be calculated by the arithmetic progression -

S = n/2 [2a + (n-1)d], where s is the number of seats, n is number of rows, a is the number of seats in first row and d is the number of extra seats added in each row.

d = 29 - 25

Performing subtraction

d = 4

Keep the values in formula -

S = 20/2 [(2×25) + (20 - 1)×4]

Performing multiplication and subtraction

S = 10 [50 + (19×4)]

Performing multiplication

S = 10 [50 + 76]

Performing addition

S = 10 [126]

Performing multiplication

S = 1260

Hence, there are 1260 seats.

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False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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Answer:

x = -8

Step-by-step explanation:

4( 3x +5 ) - 3 = 9x -7

Distribute

12x +20 -3 = 9x -7

Combine like terms

12x+17 = 9x-7

Subtract 9x from each side

12x-9x +17 = 9x-9x-7

3x +17 = -7

Subtract 17 from each side

3x+17-17 = -7-17

3x = -24

Divide each side by 3

3x/3 = -24/3

x = -8

Answer: x= -8

Step-by-step explanation:

4 ( 3x + 5 ) - 3 = 9x - 7

12x + 20 - 3 = 9x - 7

12x + 17 = 9x - 7

subtract 9x from both sides

12x + 17 - 9x = -7

3x + 17 = -7

subtract 17 from both sides

3x= -7-17

3x= -24

divide both sides by 3

x= -24/3

simplify

x= -8

Answer:

The equation for the standard form of the line will be:

Step-by-step explanation:

Given

The equation of a line in standard form

where A is a positive integer and B, C are integers

We know the equation of a line in  slope-intercept form

y = mx+b

where m is the slope and b the y-intercept

To calculate the slope, use the gradient formula

m = y₂-y₁ / x₂-x₁

let  

(x₁, y₁) = (-4, 0)             ∵ x-intercept = (-4, 0)

(x₂, y₂) = (0, 3)              ∵ y-intercept = (0, 3)

m = y₂-y₁ / x₂-x₁

    = (3 - 0) / (0 - (-4))

    = 3 / 4

Thus, the equation in slope-intercept form:

y = mx+b

y = 3/4x + 3

Multiply y = 3/4x + 3 by 4

4y = 3x + 12

3x-4y = -12

3x + (-4y) = -12

Thus, the equation for the standard form of the line will be:

The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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Answer: The answer is Does it have same matching sides, is it congruent. This is how we will know if it's a square.

Step-by-step explanation: Please give Brainlist.

Hope this helps!!!!

I can answer more questions.