How many ounces of a 12​% alcohol solution must be mixed with 9 ounces of a ​20% alcohol solution to make a 16​% alcohol​ solution?

Answer:

Brah its 25

Step-by-step explanation:

Answer:

The answer is C. H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model

Step-by-step explanation:

EDGE 2021

Answer:

50%

hope this answer helps you!

Answer:

Step-by-step explanation:

Height h = 4.5 inches

Radius r = 3.4/2 = 1.7 inches

Area of base = πr² = 2.89π square inches

Volume of cylinder = πr²h = 2.89π4.5 = 13.0 cubic inches

Answer:

The answer is 40.8

Step-by-step explanation:

The volume of a cone equals the area of a circle multiplied by the height

\(v = \pi \times {r}^{2} \times h \\ = 3.14 \times 1.7 \times 1.7 \times 4.5 \\ = 40.8\)

The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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The rational function graphed, found from the asymptote line in the graph is the option C.

C. F(x) = 1/(x + 1)²

An asymptote is a line to which the graph of a function approaches but from which a distance always remain between the asymptote line and the graph as the input and or output value approaches infinity in the negative or positive directions.

The graph of the function indicates that the function for the graph has a vertical asymptote of x = -5

A rational function has a vertical asymptote with the equation x = a when the function can be expressed in the form; f(x) = P(x)/Q(x), where (x - a) is a factor of Q(x), therefore;

A factor of the denominator of the rational function graphed, with an asymptote of x = -5 is; (x + 5)

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Answer:

It will take 5.68 seconds to cover a distance of 100 meters.

Step-by-step explanation:

Given that:

A greyhound dog runs with a top speed of 17.6 m/s

Distance to cover = 100 meters

We know that:

Distance = Speed * Time

Putting the values in formula

100 = 17.6 * Time

Time = \(\frac{100}{17.6}\)

Time = 5.68 seconds

Hence,

It will take 5.68 seconds to cover a distance of 100 meters.

Answer:

Step-by-step explanation:

\(\frac{3}{2}\) ÷ \(\frac{9}{6}\)   = \(\frac{3}{2}*\frac{6}{9}\\\)

         = \(\frac{18}{18}\)

         = 1

Use KCF method,

Keep the first number.

Change the division to multiplication

Flip the second number

Answer:

sorry dude i need thos points

Step-by-step explanation:

Answer:

384.3

Step-by-step explanation:

Answer:

I probably think the qns is no A

Answer:

A

Step-by-step explanation:

Answer:

(x + 4)

Step-by-step explanation:

5x³ + 40x² + 80x, x^4 - 256

5x ( x² + 8x + 16)

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

x^4 - 256

a² - b² = (a + b) (a - b)

x² - 4² = (x + 4) (x - 4)

(x² + 16) (x + 4) (x - 4)

I hope this helps!

1. The sequence next three terms are 243,, 729 and 2187. 2. The next three terms are 1296, 2592 and 5184. 3. The next three terms are 143, 151, 159.

Sequence 1: 3, 9, 27, 81
This sequence is geometric since each term is obtained by multiplying the previous term by a constant (3). The next three terms are:
81 * 3 = 243,
243 * 3 = 729,
729 * 3 = 2187.

Sequence 2: 162, 324, 648
This sequence is also geometric with a constant multiplier of 2. The next three terms are:
648 * 2 = 1296,
1296 * 2 = 2592,
2592 * 2 = 5184.

Sequence 3: 87, 95, 135
This sequence is arithmetic since each term is obtained by adding a constant difference (8) to the previous term. The next three terms are:
135 + 8 = 143,
143 + 8 = 151,
151 + 8 = 159.

Sequence 4: 243, 729, 2187
This sequence is geometric with a constant multiplier of 3 (same as Sequence 1). The next three terms are already calculated above: 6561, 19683, 59049.

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Answer:

The item that attaches to the bowstring to improve accuracy by giving a consistent anchor point each time the bowstring is drawn is called a "release aid" or "bow release".

x - 8 = 68

x - 8 + 8 = 68 + 8

x = 76

hope this helped

The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

Step-by-step explanation:

hereee is your answerr

hope it helps

Step-by-step explanation:

a=85°. [being corresponding angle]

a+c=180. [being linear pair]

c=180-85

c=95

b=c=95 [being corresponding angle]

b=95

Answer:

A 45

Step-by-step explanation:

45 is the answer and hope this helps!

Answer:

x = 3

Step-by-step explanation:

2x = 5x - 9

add 9 to each side

2x + 9 = 5x

subtract 3x from each side

9 = 3x

divide each side by 3

3 = x

x = 3

If my answer is incorrect, pls correct me!

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-Chetan K

The coordinates of the meeting place are approximately (-4.3, -4.3).

Option D is the correct answer.

We have,

Now,

Midpoint between cities A and B:

(((-16+1)/2), ((-1+6)/2)) = (-7.5, 2.5)

Midpoint between cities A and C:

(((-16+1)/2), ((-1-18)/2)) = (-7.5, -9.5)

Midpoint between cities B and C:

(((1+1)/2), ((6-18)/2)) = (1, -6)

Now we can find the intersection of the three lines formed by these midpoints.

One way to do this is to use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

The line passing through (-7.5, 2.5) and (-7.5, -9.5):

x = -7.5

The line passing through (-7.5, 2.5) and (1, -6):

y = (-8/9)x + 35/9

The line passing through (-7.5, -9.5) and (1, -6):

y = (3/5)x - 33/5

Solving for the intersection of these lines.

x = -4.3

y = -4.3

Therefore,

The coordinates of the meeting place are approximately (-4.3, -4.3).

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Answer:

c. diameter

because when a line intersects the center and even touches the centre is called a diameter

hope it helps.

Answer:

C

Step-by-step explanation:

Diameter

Answer:

:)

Step-by-step explanation:

I am pretty sure the y intercept for the graph should be at +7 and the slope should be +3. So the line should go up three and over one and it should pass through 7.

a) Entering this into a calculator gives us:CI = (63.876, 88.524) b) test for the population is between 63.876 and 88.524 c)  If the standard deviation of the test scores had been 42.8 instead of 21.4, the width of the confidence interval would increase. d) . If the confidence level were reduced to 90%, the interval would be narrower. e) If the sample size was increased to 75 subjects, the interval would be narrower.

a. To find a 95% confidence interval for the mean score on the test, we can use the formula:

To find the confidence interval, we need to estimate the population standard deviation with the sample standard deviation. So:

CI = 76.2 ± 1.96 * (21.4/√27)

Entering this into a calculator gives us:

CI = (63.876, 88.524)

b. The confidence interval we found tells us that we are 95% confident that the true mean score on the test for the population is between 63.876 and 88.524. In other words, if we were to take many random samples of 27 people and compute a 95% confidence interval for each one, then about 95% of those intervals would contain the true population mean.

c. If the standard deviation of the test scores had been 42.8 instead of 21.4, the width of the confidence interval would increase. This is because a larger standard deviation means that the data are more spread out, which makes it more difficult to estimate the population mean accurately.

d. If the confidence level were reduced to 90%, the interval would be narrower. This is because a higher confidence level requires a larger z-score, which widens the interval. Conversely, a lower confidence level requires a smaller z-score, which narrows the interval.

e. If the sample size was increased to 75 subjects, the interval would be narrower. This is because a larger sample size decreases the standard error (σ/√n), which makes it easier to estimate the population mean accurately and results in a narrower confidence interval.

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The maximum amount she can afford to borrow for a home mortgage is: $41,100.

An employees who receive gross monthly salary will get 12months paychecks per year.

Using this formula

Maximum amount= Gross monthly salary× 12 paychecks

Let plug in the formula

Maximum amount=$3,425×12 months

Maximum amount=$41,100

Inconclusionhe maximum amount she can afford to borrow for a home mortgage is: $41,100.

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Mass of the gold bar = 13.896‬ kg

What does density mean in a nutshell?

Volume of gold Bar  = ( Trapezium cross sectional area ) * Length

=  ((1/2)(12 + 6) * 5)  * 16

= 45 * 16

= 720 cm³

Density = 19.3  g/cm³

Density = Mass /Volume

=> Mass = Density * Volume

=> Mass = 19.3 * 720

=> Mass = 13,896‬ g

=>  Mass = 13.896‬ kg

Mass of the gold bar = 13.896‬ kg

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Answer:

2.1

Step-by-step explanation:

Here we will simplify the ratio 30:15 for you and show you how we did it.

To simplify the ratio 30:15, we find the greatest common divisor of 30 and 15, and then we divide 30 and 15 by the greatest common divisor.

The greatest common divisor that you can use to simplify 30:15 is 15. Which means the answer to ratio 30:15 simplified is: 2.1

False. In the given scenario, the statement "the cost function is always greater than the revenue function" is unrelated to the question about drawing three numbers whose sum is 13.

The truth or falsity of the statement does not affect the calculation of the number of ways three numbers can be drawn with a sum of 13.

To determine the number of ways three numbers can be drawn with a sum of 13, we can use a combinatorial approach. We need to find the number of combinations of three numbers from the set {1, 2, 3, ..., 10} that add up to 13. This can be done by considering different cases and using combinations or counting techniques.

Note: If you have any further questions regarding the cost and revenue functions or any other topic, please let me know, and I'll be happy to assist you.

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Susan invests $18000 at 10% and $ 6000 at 8%

Let a = investment made at 10%

Let b = investment made at 8%

Given, a = b * 3

We are also told that Susan's total interest is $2280. So,

a * 10% + b * 8% = $2280...…..(1)

0.10a + 0.08b = $2280...…(2)

Since we know that  a = b * 3, substituting the value in equation (1) we get,

0.10 * (3b) + 0.08b = 2280

0.30b + 0.08b = 2280

0.38b = 2280

b = 2280/0.38

b = 6000

So, by substituting the value of b, we get

a = b * 3

a = 6000 * 3

a = 18000

Therefore, Susan has invested  $18,000  at 10% and $6000 at 5%.

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(a) The company's break-even point in total sales dollars is $69,249,800. At the break-even point, the sales mix is as follows: Sale of mail pouches and small boxes: $55,399,840 and Sale of non-standardized boxes: $13,849,960

(b) If the company shifts its sales mix so that 60% of its revenue comes from the delivery of non-standardized boxes, the new break-even sales would be $46,166,533. The amount of sales provided by each service type would be as follows:

Sale of mail pouches and small boxes: $18,466,613

Sale of non-standardized boxes: $27,699,920

Explanation and Calculation:

(a) To calculate the company's break-even point, we use the weighted-average contribution margin ratio to find the total sales dollars at which the company's total contribution margin equals its fixed costs. The contribution margin ratio for mail pouches and small boxes is 20% (0.20), and for non-standardized boxes, it is 70% (0.70).

Let X be the total break-even sales, Y be the sales of mail pouches and small boxes, and Z be the sales of non-standardized boxes.

Based on the given information, we set up the following equations:

0.20Y + 0.70Z = X (equation 1) [Total contribution margin equals fixed costs]

Y + Z = X (equation 2) [Total sales dollars equals X]

From equation 2, we get:

Y = X - Z

Substituting Y = X - Z into equation 1, we have:

0.20(X - Z) + 0.70Z = X

0.20X - 0.20Z + 0.70Z = X

0.50Z = 0.80X

Z = 1.6X

Substituting Z = 1.6X into equation 2, we get:

Y + 1.6X = X

Y = -0.6X

Since Y represents the sales of mail pouches and small boxes, which cannot be negative, we ignore the negative solution and take Y = 0. Therefore, Z = X.

Substituting Z = X into equation 2, we find the break-even point:

Y + X = X

Y = 0

Thus, at the break-even point, the sales of mail pouches and small boxes are $0, and the sales of non-standardized boxes are equal to the total break-even sales, X.

(b) To find the break-even sales with the new sales mix, where 60% of the revenue comes from the delivery of non-standardized boxes and the remainder from mail pouches and small boxes, we can calculate the sales dollars based on the weighted-average contribution margin ratio.

Let Y2 be the new break-even sales, and let Y3 be the sales of mail pouches and small boxes with the new sales mix.

Using the weighted-average contribution margin ratio, we have:

0.60(0.70)Y2 + 0.40(0.20)Y2 = 13,824,900

0.42Y2 + 0.08Y2 = 13,824,900

0.50Y2 = 13,824,900

Y2 = 27,649,800

Therefore, the company's break-even sales with the new sales mix would be $27,649,800. The amount of sales provided by each service type would be:

Sale of mail pouches and small boxes: 40% of 27,649,800 = $11,059,920

Sale of non-standardized boxes: 60% of 27,649,800 = $16,589,880

Conclusion:

(a) The company's break-even point in total sales dollars is $69,249,800. At the break-even point, the sales mix is as follows:

Sale of mail pouches and small boxes: $55,399,840

Sale of non-standardized boxes: $13,849,960

(b) If the company shifts its sales mix so that 60% of its revenue comes from the delivery of non-standardized boxes, the new break-even sales would be $46,166,533. The amount of sales provided by each service type would be as follows:

Sale of mail pouches and small boxes: $18,466,613

Sale of non-standardized boxes: $27,699,920

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For the value of x = 4, matrix A will have no inverse.

If a matrix A has no inverse, then its determinant equals zero. The determinant of matrix A is defined as follows:

|A| = 1(2x3 - 3x2) - 2(1x3 - 3x1) + 3(1x2 - 2x1)

we can simplify and solve for x as follows:|A| = 6x - 12 - 6x + 6 + 3x - 6 = 3x - 12

Therefore, we must have 3x - 12 = 0 for matrix A to have no inverse.

Hence, x = 4. That is the value of x for which the matrix A does not have an inverse.

For the value of x = 4, matrix A will have no inverse.

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