n/n-5 = 4/6

please help

Answer:

If he used up all 16 gallons of pain after 5 days while using the same amount each day then he used 3.2 Gallons Each Day

Step-by-step explanation:

Answer:

its C.

Step-by-step explanation:

i did it

1) To have 0 bad sectors there are 364 ways.

2) To have 0 good sectors there are 20 ways.

3) To have 1 bad sectors there are 564 ways.

Given there are 20 computer disks.

Defective disks = 6

Non defective disks = 20-6

= 14

1)

Therefore , to have 0 bad sectors, we need to select 3 sectors from the given 14 good sectors, hence no of ways is \(14C_{3}\) ways .

We know that,

\(nC_{r}=\frac{n!}{(n-r)! * r!}= \frac{nP_{r}}{r!}\)

\(14C_{3}= \frac{14P_{3}}{3!}\\\\= \frac{14*13*12}{6} \\\\= 364 ways\)

Therefore it is done in 364 ways.

2)

Therefore , to have 0 good sectors, we need to select 3 sectors from the given 6 bad sectors, hence no of ways is \(6C_3\) ways.

We know that\(nC_{r}=\frac{n!}{(n-r)! * r!}= \frac{nP_{r}}{r!}\)

\(6C_{3}= \frac{6P_{3}}{3!}\\\\= \frac{6*5*4}{6} \\\\= 20 ways\)

Therefore it is done in 20 ways .

3)

Therefore , to have 1 bad sectors, we need to select 1 sectors from the given 6 bad sectors, hence no of ways is \(6C_{1}\) ways and 2 sectors from 14 good sectors can be done in \(14C_{2}\) ways.

We know that \(nC_{r}=\frac{n!}{(n-r)! * r!}= \frac{nP_{r}}{r!}\)

\(14C_{2}= \frac{14P_{2}}{2!}\\\\= \frac{14*13}{2} \\\\= 91 ways\\\\6C_{1}= \frac{6P_{1}}{1!}\\\\= \frac{6}{1} \\\\= 6 ways\)

So total ways \(= 14C_2 * 6C_1\)

= 91*6

= 546 ways

Therefore it is done in 546 ways.

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Answer:

2n - 50

n the unknown number

twice  = 2n

50 less than it = 2n - 50

Step-by-step explanation:

Answer:

30 pounds of tomatos

Step-by-step explanation:

divide 182.4 by 38 to get 4.8.

Then divide 144 by 4.8 to get the answer.

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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Answer: x = 560/3

Step-by-step explanation:

First! We are going to be using the PEMDAS method! If you have any questions about this method please go ahead and ask below! The first step in our equation is the P - parenthesis, so we are going to multiply \(\frac{3}{5}\)  to everything inside of the parenthesis (x and -710)!

\(\frac{3}{5} (x -710) = -314\)

\(\frac{3}{5}x+(\frac{3}{5}*-710)=-314\)

\(\frac{3}{5}x -426 = -314\)

Now, we are going to add 426 to both sides of the equation, to single out the "x" variable!

\(\frac{3}{5}x= 112\)

Finally, let's multiply both sides by \(\frac{5}{3}\) to cancel out the \(\frac{3}{5}\) fractions, to get the "x" variable alone.

\(x=\frac{560}{3}\)

↑This is our answer!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

A function is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given function f(x) = |x| - 5 after transaltion of the graph by 2 units left will become g(x) = |x+2| - 5.

The graph of the function is attached with the answer below. In which both functions are graphed.

Therefore, afunction is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.

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The period of the given trigonometric function is: 20.

The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.

Sine and cosine functions start repeating the same pattern of y-axis values after every 2(pi). The period is defined as just the distance on the x-axis before the pattern repeats.

Now, looking at the trigonometric graph, we see that the x-interval for which the graph repeats itself is 20

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Cell contents assignment to a non-cell array object" is an error message that occurs when you attempt to assign cell contents to a variable that is not a cell array.

In MATLAB, a cell array is a data structure that can hold different types of data, including other arrays, matrices, or even other cell arrays.

When you encounter the error message "Cell contents assignment to a non-cell array object," it means that you are trying to assign cell contents (data wrapped in curly braces {}) to a variable that is not a cell array.

The error typically occurs when you mistakenly try to assign cell contents to a regular array, matrix, or another non-cell variable.

To resolve this error, make sure you are assigning cell contents to a variable that is explicitly defined as a cell array using the curly braces {}.

The error message "Cell contents assignment to a non-cell array object" indicates that you are trying to assign cell contents to a variable that is not a cell array. Check your code and ensure that you are assigning cell contents to a variable that is explicitly defined as a cell array using curly braces {}.

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The solution to the system of equations is (2.68, 1.01)

From the question, we have the following parameters that can be used in our computation:

2.5x+3.75y=10.5

1.25x−8.5y=−5.25

Express properly

2.5x + 3.75y = 10.5

1.25x − 8.5y = −5.25

Next, we make a plot of the system to determine the solution

The point of intersection in the plot represent the solution to the equations

In this case, the intersection has a coordinate of (2.68, 1.01)

Hence, the solution is (2.68, 1.01)

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Complete question :

A lake near the Arctic Circle is covered by a 3 meter thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After four weeks, she is only 1.6 m thick. Let S(t) denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks). Write the function's formula

Answer:

S(t) = 3 - 0.3t

Step-by-step explanation:

Given that:

Initial thickness = 3m

Assume the rate of decrease is constant

Thickness after 4 weeks = 1.6 m

To obtain a function for the scenario described above :

We can observe that the function is a linear function, given that rate of decrease per week is constant :

To obtain the rate of decrease :

Change after 4 weeks :

(Initial thickness - thickness after 4 weeks) / number of weeks

(3m - 1.6m) / 4

= 1.2m / 4

= 0.3 m per week

General form of a linear function :

y = mx + c

m = rate of change per unit

Hence, our function becomes ;

S(t) = 3 - 0.3t

Answer:

Step-by-step explanation:

Required probability:

Answer:

Probability of students will prefer ice-skating over roller - skating = 50 % or 1/2 %

Step-by-step explanation:

No. of 13 yrs old students = 10

No. of those students prefer ice - skating = 5

Probability of students will prefer ice-skating over roller - skating = No. of 13 yrs old students/ No. of those students prefer ice - skating

P = 5 / 10 = 1/2 % = 50 %

In testing whether each individual independent variable (xs) in a multiple regression equation is statistically significant in explaining the dependent variable (y), one uses the t-test.

The t-test is a statistical test that helps determine the significance of each independent variable in a multiple regression model. It assesses whether the coefficient associated with each independent variable is significantly different from zero.

To perform the t-test, individual t-statistics are calculated for each independent variable. The t-statistic measures the ratio of the estimated coefficient of an independent variable to its standard error. It indicates how many standard deviations the estimated coefficient is away from zero.

The null hypothesis for each t-test states that the corresponding independent variable has no effect on the dependent variable, meaning its coefficient is equal to zero. The alternative hypothesis states that the independent variable does have a significant effect, implying that its coefficient is not equal to zero.

By comparing the calculated t-statistics with critical values from the t-distribution, one can determine whether to reject or fail to reject the null hypothesis for each independent variable. If the absolute value of the t-statistic is greater than the critical value, it indicates that the independent variable is statistically significant in explaining the dependent variable.

In summary, the t-test is utilized to assess the statistical significance of each individual independent variable in a multiple regression equation. It helps determine whether the coefficients associated with the independent variables are significantly different from zero, indicating their impact on the dependent variable.

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While using bisection method to find the solution of the equation f(x)=x⁴ +3x-2=0 on interval [0, 1], after the first step of the bisection method, the interval becomes [0.5, 1].

To use the bisection method to find the solution of the equation f(x) = x⁴ + 3x - 2 = 0 on the interval [0, 1], we start by evaluating the function at the endpoints of the interval.

f(0) = 0⁴ + 3(0) - 2 = -2

f(1) = 1⁴ + 3(1) - 2 = 2

Since the function changes sign on the interval [0, 1] (f(0) < 0 and f(1) > 0), we can conclude that there is at least one root within this interval.

The bisection method involves iteratively dividing the interval in half and selecting the subinterval where the function changes sign. In each iteration, we calculate the midpoint of the interval and evaluate the function at that point.

After the first step, we find the midpoint of the interval [0, 1]:

midpoint = (0 + 1) / 2 = 0.5

We then evaluate the function at the midpoint:

f(0.5) = (0.5)⁴ + 3(0.5) - 2 = -0.375

Since f(0.5) is negative, we can update our interval to [0.5, 1]. The new interval now contains the root of the equation.

This updated interval allows us to continue the bisection method and refine our approximation of the root of the equation f(x) = x⁴ + 3x - 2 = 0 within the specified interval.

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Answer:

x = 20

y = 25

Step-by-step explanation:

Vertical angles are always congruent, that is a theorem.

Set the vertical pairs equal to each other.

182 - 4x = 5x + 2

The lowest of the two coefficients is 4x, so that will be added to both sides.

4x + 5x = 9x

Simplify

9x + 2 = 182

Subtract both sides by 2

9x = 180

Divide by 9

180/9 = 20

x = 20

Plug in the 20 to get the angle measure.

182 - 80 = 102

the vertical pairs are 102 degrees

There is another theorem that sets the two angles outside as congruent.

So set 4y + 2 = 102

Subtract 2

100

Divide 4, which equals 25

y = 25

Answer:

THE CORRECT ANSWER'S ARE A,D AND F

Step-by-step explanation:

did the test on edge .

Answer:

\(-2 \geq w \geq 2\)

Step-by-step explanation:

Given

\(|-w| \geq 2\)

Required

Solve for w

\(|-w| \geq 2\)

In absolution functions;

\(|-w| = |w|\)

So, the given expression can be rewritten as

\(|w| \geq 2\)

Removing the absolute sign, will gibe

\(w \geq 2\) or \(w \leq -2\)

When the second inequality os rewritten, it gives

\(w \geq 2\) or \(-2 \geq w\)

Reorder both inequalities

\(-2 \geq w\) or \(w \geq 2\)

Lastly, both inequalities are combined

\(-2 \geq w \geq 2\)

The woodworker should make atmost 4 rocking kitchen chair and 3 simple kitchen chair to maximize the profit under given conditions of 192 woodworking hours and 21 painting hours.

Profit maximization is a process that businesses go through to make sure the best levels of output and prices are realized in order to maximize their returns. The company modifies important variables like sale price, production costs, and output levels in order to achieve its profit objectives.

inequality, A mathematical statement expressing an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to etc.

Given,

Time needed to woodwork a rocking kitchen chair= 30 hours

Time needed to paint a rocking kitchen chair=3 hours

Time needed to woodwork a simple kitchen chair= 24 hours

Time needed to paint a simple kitchen chair=3 hours

Maximum time given by worker= 192 hours for woodwork and 21 hours to paint

Let x and y be the maximum number of chairs created by woodworker of both the types.

so the system of inequality would be,

30x+24y<192      ......(1)

3x+3y<21             ......(2)

To find x and y,

multiply the (2) by 10

30x+30y<210

subtract (1) from (2)

30x+24y-(30x+30y)<192-210

-6y<-18

y<3

3x+3y<21

3x+3*3<21

3x<12

x<4

By this, he can make maximum 4 rocking and 3 simple kitchen chair to earn the maximum profit.

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Step-by-step explanation:

-3x+7y = -18 ...1

4x-4y = 8 ...2

...1 × 4

-12x + 28y = -72 ...3

...2 × 3

12x - 12y = 24 ...4

...3 + ...4

28y - 12y = -72 + 24

16y = -48

y = -3

Replace y = -3 in ...2

4x - 4(-3) = 8

4x + 12 = 8

4x = 8 - 12

4x = -4

x = -1

Answer:

\(\huge\boxed{\boxed{(x,y)=(-1,-3)}}\)

Step-by-step explanation:

multiply first equation by 4 and second by 3 respectively:

\( \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}\)

combine the equations:

\( \underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48\)

divide both sides by -48:

\( \displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3\)

substitute the value of y to the second equation

\( \displaystyle \: 4x - 4. - 3 = 8\)

simplify multiplication:

\( \displaystyle \: 4x + 12 = 8\)

cancel 12 from both sides:

\( \displaystyle \: 4x = - 4\)

divide both sides by 4

\( \displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1\)

therefore our solution is

\(\displaystyle (x,y)=(-1,-3)\)

Answer:

Step-by-step explanation:

Answer:

the equation of yours is wrong. the equation would be y=1/3x.

Step-by-step explanation:

here's the graph. hope it helps.

Answer: I think it is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

the triangles are similar

so as we know

now let's solve it

according to the question

\( \frac{24}{30 } = \frac{x + 7}{2x - 10} \)

\( \frac{4}{5} = \frac{x + 7}{2x - 10} \)

\(4(2x - 10) = 5(x + 7) \: (cross \: multiplication)\)

\(8x - 40 = 5x + 35\)

\(8x - 5x = 35 + 40\)

\(3x = 75\)

\(x = 25\)

Answer:

B Description is in the picture

Answer:

\(2^2*3^2\)

Step-by-step explanation:

By definition of a negative exponent: \((\frac{a}{b})^{-x}=(\frac{b}{a})^x=\frac{b^x}{a^x}\)

In the last step I simply distributed the exponent, but this actually goes both ways! So we can do: \(\frac{b^x}{a^x}\implies(\frac{b}{a})^x\)

The next thing you need to know is that: \((ab)^x=a^x*b^x\)

and like the previous statement, it works both ways! So this means: \(a^x*b^x\implies (ab)^x\)

So the denominator of the expression given can be expressed as:

\((2^{-2}*3^{-2})\implies (2*3)^{-2}\)

Lastly you need to understand: \(1^x\) just simplifies to one, because \(1*1*1*1...\text{ x amount of times}\) will stay equal to one. So we can thing of 1 as being raised to some number, even if not explicitly stated.

This helps because we can write one as: \(1^{-2}\)

so now we have the expression:
\(\frac{1^{-2}}{(3*2)^{-2}}\)

Well this can because now we can "factor" out this exponent just like how it was demonstrated in the beginning

We get the expression: \((\frac{1}{3*2})^{-2}\)

Now we use the definition of a negative exponent, to get the reciprocal giving us the expression

\((\frac{3*2}{1})^{2}\)

We can now "distribute" this exponent across the division to get

\(\frac{(3*2)^2}{1^2}\)

Well 1 squared just simplifies to 1, so it's redundant to write.

This gives us the expression:
\((3*2)^2\)

and as stated before we can distribute this across multiplication, and another way to think of it is:

\((3*2)^2\implies (3^2*2^2)\\\\\\text{because } (3*2)^2\implies (3*2)*(3*2)\implies(3*3)*(2*2)\)

we're just grouping the like terms, so we can write them as an exponent.

So this gives us our final expression:
\(3^2*2^2\)

or

\(2^2*3^2\)

which is the option B, since the order in which we multiply does not matter.

Frequency distributions, count the number of times each value or range of values appears in a dataset, while percentage distributions show the proportion or percentage of times each value or range of values appears in the dataset.

Frequency distributions are useful for summarizing and describing the distribution of a variable in a data set, while percentage distributions are useful for comparing different variables or subgroups within the data set.

For example, a frequency distribution could be used to show the number of hours of sleep each participant in a study gets per night, while a percentage distribution could be used to compare the number of hours of sleep between males and females in the study.

Frequency distributions and percentage distributions provide different perspectives on the same data set and can be used together to gain a more complete understanding of the data.

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Answer:

Step-by-step explanation:

Step 1: Multiply both sides by 3.

7x/3=14

(7x/3)*(3)=(14)*(3)

7x=42

Step 2: Divide both sides by 7.

7x/7=42/7

x=6

Answer:

3/2

Step-by-step explanation:

The two trains would meet at one hour and 24 minutes.

What is distance?

Distance is the movement of an object regardless of direction. Distance can be defined as the amount of length an object has covered, regardless of its starting or ending position.

We know that distance (d) = speed(s) x time(t)

So let t represent the time by both trains.

Since the first train will be Train A and the second will be Train B, Train A will travel 80 miles and Train B will travel 100t miles.

Two trains traveling in opposite directions will have covered 252 miles in total. The meeting location will be nearer to the starting point of the slower train (Train A) because the faster train (Train B) has traveled further.

So now we can write it as

80t + 100t = 252

180t = 252

t=1.4

This would mean that the trains would meet after one hour and 24 minutes.

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