How many liters of acid needs to be added to convert a 6-liter 25% acid solution to a 30% acid solution

Answer:  It is 0.81

Step-by-step explanation:

I wont give an explanation this time sorry I don't feel like it but just so you know I got this answer right so trust me.

Answer:

AB = 10.398

Step-by-step explanation:

By cosine rule, we have:

AB² = AC² + BC² - 2(AC)(BC)cos(ACB)

⇒ AB² = 7² + 10² - 2(7)(10)cos(73)

⇒ AB² = 49 + 100 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140(0.292)

⇒ AB² = 149 - 40.88

⇒ AB² = 108.12

⇒ AB = √(108.12)

⇒ AB = 10.398

The calculated length of the segment MN in the triangle is 20

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

The triangle

The third angle in the triangle is calculated as

Third angle = 180 - 50 - 50

Evaluate

Third angle = 80

The length of the segment MN is then calculated as

MN/sin(50) = 20/sin(50)

This gives

MN = sin(50) * 20/sin(50)

Evaluate

MN = 20

Hence, the length of the segment MN in the triangle is 20

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"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

To calculate the scores that are three standard deviations above and below the mean, we use the formula:

Lower limit = Mean - (Standard Deviation * 3)

Upper limit = Mean + (Standard Deviation * 3)

Given:

Mean = 269

Standard Deviation = 33

Using the formula, we can calculate the limits:

Lower limit = 269 - (33 * 3) = 269 - 99 = 170

Upper limit = 269 + (33 * 3) = 269 + 99 = 368

Therefore, the lower limit is 170 and the upper limit is 368.

To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.

Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.

For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:

Percentage = (1 - Probability) * 100

= (1 - 0.9972) * 100

= 0.0028 * 100

= 0.28%

Therefore, approximately 0.28% of the female students have scores below 302.

It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

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False: Make careful not to mix up accessibility and dependability. For instance, a functioning network rarely drops packets. however, a trustworthy network is active and running.

Network reliability is the amount of uninterrupted infrastructure use. There are a few different formulae that are used to calculate reliability.

The proportion of time network infrastructure is operational over a certain time period is known as network availability.

Thus, it is incorrect that "make careful not to mix up accessibility and dependability. For instance, a functioning network rarely drops packets. however, a trustworthy network is active and running."

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The complete question is-

Be careful not to confuse availability with reliability. an available network, for example, does not drop many packets. however, a reliable network is up and operational. (True/ False)

Hello !

68/17 = 4

=> yes for 68

84/17 = 4.941...

=> no for 84

357/17 = 21

=> yes for 357

1001/17 = 58.882...

=> no for 1001

Answer:

5/2 or 2.5

Step-by-step explanation:

Divide both sides by 2.

Answer:

11 dollars, 2×3=6 +5 =11

Answer:

x = 1.

Step-by-step explanation:

x + y + z = 5

2x - y - z = -2

3x = 3

x = 1

Hope this helps!

Answer:

Brainleist !

Step-by-step explanation:

6 bannas = 1.95

18 bannanas = ?

18/6 = 3

that means 18 is thriple 6, causeing the price of 6 to be tripled as well.

6 bannas = 1.95

18 bannanas = 5.85

The angle x is equal to 67.5 degrees.

For a Polygon, the sum of the interior angles is given by (n-2) 180 degrees.

For octagon, n=8

The Sum of interior angles (n-2) 180

(8 - 2) 180

= 6 (180)

= 1080 degrees

Suppose the angle be y degrees.

8y = 1080 degrees

y = 1080/ 8 degrees

y = 135 degrees

Here, we can see that x degree is the half of the angle y.

x = 135 /2

x = 67.5

Therefore, The angle x is equal to 67.5 degrees.

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Miranda, a quality assurance inspector at a frozen treat factory, checks for product quality using a random sample of 11 frozen treats from a batch of 41, with 22 grape

popsicles and 19 cherry popsicles. Let p be the proportion of grape popsicles in the sample.

Part A: Is the 10% condition met in this case.

Part B: Is the Normal condition met in this case,

A) 10% condition not met in this case.

B) The Normal condition not met in this case.

A) If \(n\leq (\frac{1}{10})N\) then 10% condition not met in this case

  \(11\leq (\frac{1}{10} )41\)

  \(11 \leq 41\)

So, 10% condition not met in this case.

B)  n=11

    p^ =\(\frac{x}{n} =\frac{22}{41}=0.5365\)

np=11×0.5365

   =5.9015<10

nq=11×(1-0.5365)=5.0985<10

So, both np and nq are less than 10

The normal condition is not met in this case.

Normal conditions are a restriction on philosophical arguments, especially in epistemology, in order to avoid objections perceived as digressive. As a reply to objections to an explanation of a phenomenon, e.g. a hypothesis or a theory, it is said, argument X holds [only] under normal conditions.

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Notice that:

Therefore,

Answer: gh.

Answer:

image attached

Answer:

75%

Step-by-step explanation:

Formula:
P = (x/y) * 100

where x is 6 dollars and y is 8 dollars.

P = (6/8) * 100
P = 0.75 * 100
P = 75%

We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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we have the function

Remember that the denominator cannot be equal to zero

The domain of the given function is all real numbers except for x=-2

that means

there is a vertical asymptote ay

x=-2

Find out the horizontal asymptote

the degree of the numerator is the same that the degree of the denominator

therefore

Find out the quotient between the leading coefficient of the numerator and the leading coefficient of the denominator

1/1=1

the equation of the horizontal asymptote is

y=1

see the attached figure to better understand the problem

Answer: (5 × 8) - (5 × 1)

Step-by-step explanation:

When you use the distributive property, you essentially distribute a number to terms it is being multiplied by in order to make the calculation process easier.

When you use the distributive property, you distribute the number outside a multiplication statement to the numbers inside. In this case, 5 is the number outside, and 8 and 1 are the numbers inside.

When you distribute the number 5 to the eight, you are left with (5 × 8). However, you must still include 1, the other number in the parentheses, to finish the equation.

With 1, you go through the same process as you did before. You distribute the number 5 to the 1 and are left with (5 × 1). However, in the original equation, you are subtracting the 8 by the 1, so you must account for the subtraction sign.

You essentially subtract the number you get from (5 × 8) by the number you get from (5 × 1). Therefore, your answer is (5 × 8) - (5 × 1).

Answer:

√(6 + 9 +12) = √27 = 3√3

√(-6 + 9 + 12) = √15 = √3√5

√(6 - 9 + 12) = √9 = 3

√(6 + 9 - 12) = √3

(1/4)(3√3)(√3√5)(3)(√3)

= (1/4)(27√3)(√5) = (27√15)/4 = 26.1

Answer:correct answer is 26.1

Step-by-step explanation:

Heron's formula states that the area (A) of a triangle with side lengths a, b, and c is given by:

A = √(s(s-a)(s-b)(s-c))

where s is the semiperimeter, which is half the perimeter of the triangle:

s = (a + b + c) / 2

In this case, the side lengths are a = 6, b = 9, and c = 12. Therefore, the semiperimeter is:

s = (6 + 9 + 12) / 2 = 27 / 2

Using Heron's formula, we can now calculate the area of the triangle:

Answer:

\( {( \frac{1}{5}) }^{3} (312) = \frac{312}{125} = 2.496\)

The volume of this rectangular prism is 2.496 cubic centimeters.

The volume of the rectangular prism is 2.496 cubic centimeters.

If the rectangular prism has 312 cubes with an edge length of 1/5 cm, we may calculate the total volume by multiplying the number of cubes by the volume of each cube.

V = x3 gives the volume of a cube with edge length x. Because the edge length, in this case, is 1/5 cm, the volume of each cube is (1/5)3 = 1/125 cm3.

We multiply the number of cubes by the volume of each cube to determine the volume of the rectangular prism:

312 cubes (1/125 cm3/cube) = 2.496cm3 volume

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Answer:

D. The actual price is 12.5% higher than the expected price.

Step-by-step explanation:

hope i helped :)

The transformation composition displayed in the accompanying photograph is

A transformation in mathematics is a modification of a geometric object or mathematical function's position, size, shape, or orientation. Shapes can undergo geometric modifications, such as rotations, reflections, dilatations, and translations.

The first transformation in the figure is a 90° clockwise rotation about the origin.

Reflection along the x-axis is the second transformation. This creates mirror image of the triangle below the line which is the axis of reflection

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Step-by-step explanation:

Measure of Angle 1 is 115 due to corresponding angles postulate

Measure of Angle 2 is 65 is linear pair postulate.

Answer:

2000 minutes on 16 miles

Answer:

168.75 minutes

Step-by-step explanation:

Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.

Recalling that distance = speed times time, we recognize that

time = distance / speed

which here is  

(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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A polynomial is considered rational if it can be written as a polynomial divided by a polynomial.

Any function that can be expressed as a rational fraction in mathematics—an algebraic fraction in which the numerator and denominator are both polynomials—is referred to as a rational function.

Here,

Given :f (x) = 4/x-3+2.

=> vertical asymptotes :

=> 4/x

and

horizontal asymptotes :

=> -1

The rational function is (x/y)where y≠ 0

So,

x≠0.

can be a rational function for them.

Oblique, vertical, and horizontal asymptotes are the three forms of asymptotes that make up the different types of rational functions. The maximum number of horizontal or oblique asymptotes for a rational function is one, although there can be multiple vertical asymptotes.

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The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.

To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.

Algorithm/Abstract Strategy:

Start with the numerator, which is 3.

Identify the denominator, which is 5.

Interpret the fraction as a ratio or comparison between the numerator and denominator.

Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).

Perform the division: 3 ÷ 5.

Simplify the division to its simplest form, if necessary.

The result of the division, in this case, is the decimal representation of the fraction.

If required, convert the decimal representation to a percentage or any other desired form.

For example, if we perform the division 3 ÷ 5, the result is 0.6.

So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.

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Due to the fact that the numbers 4 and 5 both refer to comparable triangles, the correct quadrilateral ABCD is a parallelogram.

The polygon consists of four vertices and four sides. Angles add up to 360. A form of quadrilateral with equal and parallel opposite sides is a parallelogram.

Given

A parallelogram is an ABCD quadrilateral.

Both AB and BC are parallel to CD and AD, respectively.

Consequently, it is a parallelogram's condition.

A form of quadrilateral with equal and parallel opposite sides is a parallelogram.

Here, CAB and ACD are congruent, and BCA and CAD are congruent.

Then ABC is comparable to ADC, CAB is to ACD, and BCA is to CAD.

Then ABC is comparable to ADC.

Yet AC is AC.

ADC and ABC are then congruent.

As a result, for the equivalent triangle, 4 and 5 have the same significance.

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Answer:

  about 1.14%

Step-by-step explanation:

Assuming you can redeem the T-bill for $100 at the end of the period, the interest rate can be found from the formula for simple interest:

  I = Prt . . . . where P is the principal invested, r is the annual rate, and t is the number of years.

__

Here, we have ...

  (100 -99.44) = 99.44·r·(180/365) . . . . held for a fraction of a year

  0.56×365/(99.44×180) = r ≈ 0.0114195 ≈ 1.14% . . . . divide by the coefficient of r

Your return would be about 1.14%.

Answer:

no

Step-by-step explanation:

4 yards is 12 feet (4*3=12)