Madion went out to eat and pent $13. Thi wa 3/5 of the amount that he received. How much money did he receive?

Step-by-step explanation:

Hey there!

Your answer is Option A.

Check all:

A. y = 6x-2

Comparing the equation with y = mx+b, we get;

m= 6

and b= -2

B. y= 6x+2

Comparing the equation with y= mx+b, we get;

m = 6

b= 2

C. y = 2x+6

Comparing the equation with y= mx+b, we get;

m= 2

b = 6

D. y= -2x-6

Comparing the equation with y= mx+b, we get;

m= -2

b= -6

Therefore, Option A is correct answer.

Hope it helps...

The Slope-Intercept form of the equation of a line, is:

Where "m" is the slope of the line and "b" is the y-intercept.

According to the information given in the exercise, you know that The older model submarine can dive down 3 feet per minute. Then, you can identify that:

Let be "y" the location of the submarine (in feet) and "x" the number of minutes.

You can identify that the line passes through this point:

Knowing the slope of the coordinates of a point on the line, you can find "b":

Therefore, knowing "b" and "m", you get that the equation of the line in Slope-Intercept form that models this situation, is:

Answer:

x = 0

Step-by-step explanation:

note that 81 = \(3^{4}\) , then

\(3^{x+4}\) = \(3^{4}\)

since the bases on both sides are equal, both 3 the equate the exponents

x + 4 = 4 ( subtract 4 from both sides )

x = 0

The answer to this equation is 0

\( \\ 3 {}^{x + 4} = 81\)

\(3 {}^{x + 4} = 3^{4}\)

\( \\ 3 {}^{x + 4} = 3^{4}\)

\( x + 4 = 4\)

\( \\ x + 4 = 4\)

\( x = 4 - 4\)

\( \orange{\boxed{x = 0}}\)

Therefore, the value of this equation will be 0

Answer:

0

Step-by-step explanation:

Multiply  − 1  by  − 6 . − 8 +6 + 2

Add  − 8  and  6 . − 2 + 2

Add  − 2  and  2 .

0

Answer: +1k

Step-by-step explanation: In order for you to be able to add two terms together, the terms need to be exactly the same except for the coefficients.

Here, since both terms contain a k, we can add them together.

So -6k + 7k simplifies to +1k.

Note that if you had said k,

that's also an acceptable answer.

The probability that the sample proportion is between 0.32 and 0.46 is: 0.7118

The parameters given in this sample are:

Population proportion: p = 0.35

Sample size: n = 90

The standard error is calculated as:

Standard error = √(0.35 * 0.65/90) = 0.05

phat = sample proportion

We want to find P(0.32 < phat < 0.46)

use z-statistic = (phat - p)/standard error

z1 = (0.32 - 0.35)/0.05 = -0.6

z2 = (0.46 - 0.35)/0.05 = 2.2

Using online p-value between two z-scores calculator, we have:

p = 0.7118

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Laila's score on the last test could be any number between 83 and 94, inclusive, resulting in a total of 12 possible values.

Let's denote Laila's score on the first four tests as x. Since her average score on the five tests is 82, the sum of her scores on all five tests is 82 * 5 = 410. We can express this as x + x + x + x + y = 410, where y represents her score on the last test.

Simplifying the equation, we have 4x + y = 410. Since x and y must be integers, we need to find all possible integer solutions for this equation. Rearranging the equation, we have y = 410 - 4x.

To determine the possible values of y, we need to find the range of values for x. Since Laila's score on each test is an integer between 0 and 100, the value of x must be between 0 and 100. Substituting these limits into the equation, we get 410 - 4(100) ≤ y ≤ 410 - 4(0), which simplifies to 10 ≤ y ≤ 410.

However, we need to consider that Laila's score on the last test must be higher than her score on the previous four tests. This means that y must be greater than x. Considering this constraint, the possible values for y range from x + 1 to 410.

To find the number of possible values, we calculate the number of integers in this range. Since x can take values from 0 to 100, there are 100 possible values for x. Therefore, the number of possible values for y is the sum of integers from 1 to 100, which is given by the formula (100 * (100 + 1)) / 2 = 5050.

However, we need to exclude the cases where x = y, as Laila's score on the last test should be higher than the previous tests. Therefore, the final number of possible values for y is 5050 - 100 = 4950.

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Answer:

0.99, 0.2, 12, 40/41

if the 1-41 is a 41 then it is the largest if it is a 40 then it is still the largest.

Answer:

b

Step-by-step explanation:

b is the answer

Answer:

20

Step-by-step explanation:

28/16=1.75

35/1.75=20

We have proven that no two events a and b can be independent unless either a or b is the whole sample space or the empty set below.

A sample space can be defined as the set of all possible outcomes of any experiment.

We are already aware that the outcomes of this die are going to be (1,2,3,..p). If we have a pair of proper events A, B which are independent, this would mean that = A∩B={∅}  (i)

This is a contradiction. So, now we suppose that = A∩B=C, for some proper event C (ii)

Using the values of (i) and (ii), we get -

= |C|p=P(A∩B)=P(A)P(B)=|A||B|p2.

= p|C|=|A||B|.

From this, we understand that neither A nor B are going to be full spaces and hence, no two events a and b are independent and 0<|A|<p and 0<|B|<p. Since |C| is also going to be less than 0 and p is prime, p divides either |A| or |B|.  if p was not prime (say, p=4), then you would only need the factors of p to divide either |A|,|B|, so, it becomes necessary for p to be a prime number. Hence, proved.

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Answer:

b

Step-by-step explanation:

Open up the second bracket by changing all signs to the opposite

2a²-3ab+5b² -a²+2ab-3b²

=a²-ab+2b²

Answer:

(-11,12)

Step-by-step explanation:

add 4 to 7 then subtract 3 and add 25

Answer: All of the values that can go into a relation or function (input) are called the domain. The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

The 8th term of the given geometric sequence is -156250.

A sequence of numbers is called a geometric sequence if each term, except for the first term, is obtained by multiplying the previous term by a constant factor, which is called the common ratio.

The given sequence is a geometric sequence where each term is obtained by multiplying the previous term by -5.

So, the common ratio (r) between any two consecutive terms is -5.

To find the 8th term, we can use the formula for the nth term of a geometric sequence:

\(an = a1 * r^{(n-1)\)

where,

an = 8th term

a1 = first term = 2

r = common ratio = -5

n = 8 (since we want to find the 8th term)

Therefore, substituting the values in the formula, we get:

\(a8 = 2 * (-5)^{(8-1)}\\\\a8 = 2 * (-5)^7\\\\a8 = 2 * (-78125)\\\\a8 = -156250\)

Hence, the 8th term of the given geometric sequence is -156250.

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The stocks market value is 36 per share.

A price-to-earnings ratio (P/E) would be a popular metric used by investors and analysts to estimate the value of a business.

Some key features of the P/E Ratio of a Company are-

Calculation for the market share values of the stock;

A stock has a price/earnings ratio (p/e) of 4.5.

The earning per stock is 8.

P/E ratio = price per share/Earning per share

Price per share = (P/E ratio)×(Earning per share)

Price per share = 4.5 × 8

Price per share = 36

Therefore, the price of the stock's market value is 36 per share.

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The two sets “ a ” and “ B triangle must have identical items triangle , but this does not require that they be put in the exact order for the groups to be equal.

A triangle is a 2D shape with three vertices, three straight edges, and three straight edges. A main aspect of these shapes is that each type of triangle has three internal angles which thus add near to 180° in these designs. during their math classes about these angles and how to employ this quality to spot missing values.

Here,

Given:

Triangle 1 contains two angles, one measuring 34 degrees and another 48 degrees.

The third angle is therefore 1803448=98.

Triangle 2 has an angle of 34 and another of 48, where an.

To put it another way, the 3rd angle is 18034a=146a14648=98.

Triangles 1 & 2 cannot be compared, according to Jennifer, given the information at hand.

They are comparable when 34,98,48=34,a,146a.

How many degrees will it take for Jennifer's claim to be deemed false? a = to equalize the triangles

Because of this, it's important to understand that while aspects in two sets “ a ” and “ B must match, the sets need not be equal if the elements are listed in the same order.

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a. The probability that he must stop at both signals is 0.2.b. The probability that he must stop at the first signal but not at the second one is 0.2.

c. The probability that he must stop at exactly one signal is 0.5.

a. The probability that he must stop at both signals is equal to the product of the individual probabilities of stopping at each signal, which is 0.4 x 0.5 = 0.2.

b. The probability that he must stop at the first signal but not at the second one is equal to the probability of stopping at the first signal only, which is 0.4.  

c. The probability that he must stop at exactly one signal is equal to the sum of the probability of stopping at the first signal and the probability of stopping at the second signal, which is 0.4 + 0.5 = 0.5.

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π/16 is the area enclosed by the curve r= sin(4θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(4θ) =0

=> sin(4θ) =0

=> 4θ = 0,π

=> θ = 0, π/4

so a=0 , b= π/4

now  

  A =  \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)   ------(i)

so   \(r^2\) = (sin(4θ))^2

=>   \(sin^2\)( 4θ )

ans we know that

cos(2α) = 1 -  \(2sin^2\)2 α

so     \(sin^2\)= (1- cos(8θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^b_a {\frac{1}{4} *(1-cos8\theta) } \, d\theta\)

=> 1/4*  \(\int\limits^b_a {(1-cos8\theta) } \, d\theta\)

here a=0 and b=π/4

after putting the value and solving the integral

A = π/16

so A is the area enclosed by r=sin(4θ) is π/16

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Answer:

What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?

Step-by-step explanation:

What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?

The eigenvalues of A are ±1, which means that its diagonal matrix D contains only -1s and 1s.  Thus, A = QDQT, where Q is orthogonal.

Hence, A is orthogonal.

1. Let x(t+1)=Ax(t) be a discrete dynamical system where A is a 3×3 matrix such that det(\(A−λI3​)= (2+λ)2(1−2λ). T\)hen there is a nonzero initial state vector x(0) for which limt→[infinity]​x(t)=0.

True. It is true because we can rewrite the expression for det(A−\(λI3​) as (λ−2)2(λ+1).\)We are given that A is a 3x3 matrix, which means that it has three eigenvalues. Also, λ=2 and λ=-1 are two of its eigenvalues.

Thus, for some nonzero initial state vector x(0), we have limt→[infinity]​x(t)=0.2.

There is a 3×3 nonzero symmetric matrix A that satisfies A3=−A.False. There is no nonzero symmetric matrix A that satisfies A3=−A.

To show that the given statement is false, we can take the determinant of both sides of the equation A3=−A. We have \(det(A3)=det(-A)\). From this, we get (det(A))3= -det(A).

Thus, det(A) is either zero or a cube root of -1, neither of which is possible for a nonzero symmetric matrix.3. If A is a symmetric matrix whose only eigenvalues are ±1, then A is orthogonal.

True. If A is a symmetric matrix, then it can be diagonalized by an orthogonal matrix Q.

Also,

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6 feet is the greatest distance apart by using the greatest common factor that Al can place the fence post.

The greatest common factor (GCF) of a set of numbers is the largest factor that all of the numbers share.

Given:

The length of the garden is 18 feet.

The width of the garden is 30 feet.

We need to find the greatest common factor between 18 and 30. These numbers can be expressed as follows (using multiplication of prime numbers).

18 = 2*3*3

30 = 2*3*5

2*3 = 6 appears in both cases and is the greatest common factor.

Therefore, 6 feet is the greatest distance apart that Al can place the fence post

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Answer:

To obtain a 95% confidence level estimate to within 0.25 days, 200 surgical patients' records should be looked at. The answer is 200.

Step-by-step explanation:

To answer your question regarding the number of records needed to obtain a 95% confidence level estimate to within 0.25 days for the average length of stay of surgical patients, we'll need to use the formula for sample size in estimating means.

The formula is n = (Z^2 * σ^2) / E^2, where n is the sample size, Z is the Z-score (1.96 for 95% confidence level), σ is the population standard deviation, and E is the margin of error.

Since we're given that 50 surgical patients' records are needed for a 95% confidence level estimate to within 0.5 days, we can set up the equation as follows:

50 = (1.96^2 * σ^2) / 0.5^2

Now, we need to find the sample size for a margin of error of 0.25 days:

n = (1.96^2 * σ^2) / 0.25^2

We can use the information from the first equation to find the new sample size:

(50 * 0.5^2) / (0.25^2) = n
(50 * 0.25) / 0.0625 = n
12.5 / 0.0625 = n
n = 200

So, to obtain a 95% confidence level estimate to within 0.25 days, 200 surgical patients' records should be looked at. The answer is 200.

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Answer:

8x+5

Step-by-step explanation:

8x + 8 + (-3) = 8x+8 - 3 = 8x + 5.

Hope this helps!

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Answer:

The answer is 8x+5

Step-by-step explanation:

1. Combine like terms so it will be 8 and -3

2. this will leave you with 8x+5 which you cannot do anything further.

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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It will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

The lilypad doubles in size each day, which means that if it covers a certain fraction of the pond on day n, it will cover twice that fraction on day n+1. In other words, if the lilypad covers 1/2^k of the pond on day k, then it will cover 1/2^(k-1) of the pond on day k+1.

If we let n be the number of days it takes for the lilypad to cover the entire pond, then we can say that on day n-28, the lilypad covers 1/2 of the pond (since on day n-28, the lilypad will be half the size of what it is on day n). Therefore, we want to solve for n-28 when the lilypad covers the entire pond, which is equivalent to the lilypad doubling in size 28 times:

1/2 * 2^28 = 2^(28-n+28)

Simplifying, we get:

2^(n-28) = 2^28

Taking the logarithm base 2 of both sides, we get:

n-28 = 28

Solving for n, we get:

n = 56

Therefore, it will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

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Answer:

c = 26 cm

Step-by-step explanation:

using the Pythagorean theorem:

10² + 24² = c²

c² = 100 + 576  = 676

c = 26 cm

Answer:

third answer is correct

Step-by-step explanation: