One solution is 10% acid and another is 4% acid. How many cubic centimeters (cc) of each be mixed to obtain 50cc of a solution that is 6% acid.

Answer:

The amount of tax is: 6.08

The total of the coat is: 82.08

Step-by-step explanation:

:))

Answer:

8, 0

Step-by-step explanation:

The probability of the trials being successful is 0.625 or 62.5%. So, the expected value of Apnex stock after the announcement is $53.25 per share.

The odds of the trials being successful or failed, as well as the associated stock prices, must be taken into account in order to determine the predicted value of Apnex shares after the announcement.

we can state:

P(success) + P(failure) = 1

Let the market has already taken the probability into account and that the $56 stock price at the moment reflects the stock's anticipated value following the announcement. To put it another way, we can construct an equation based on the anticipated value formula:

Estimated Value = $68 for success and $18 for failure

Also, we are aware that the present stock price and the predicted value are equal:

Estimated Value = $56

When the second equation is substituted for the first equation, we obtain:

P(success) x $68 plus P(failure) x $18 equals $56.

For P(success), we obtain:

P(success) is equal to ($56 - $18) / ($68 - $18), or 0.625.

Thus, 0.625 or 62.5% of the trials will be successful.

We may determine the anticipated value of the shares following the announcement using this probability:

Estimated Value: 0.625 times $68 plus 0.375 times $18 equals $53.25

therefore, $53.25 per share is the anticipated value of Apnex shares following the announcement.

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To determine the probability that the first guest will take a chair in the front row of the small auditorium, we need to calculate the ratio of the number of chairs in the front row to the total number of chairs in all rows. The probability is 12 divided by the sum of 12, 14, and 16, which equals 0.3 or 30%.

The probability of an event occurring is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the favorable outcome is the first guest taking a chair in the front row.

To calculate the probability, we need to determine the number of chairs in the front row and the total number of chairs in all rows. Given that there are 12 chairs in the front row, 14 chairs in the middle row, and 16 chairs in the back row, the total number of chairs is 12 + 14 + 16 = 42.

The probability that the first guest will take a chair in the front row is therefore:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 12 / 42

Probability = 0.3 or 30%

Hence, the probability that the first guest will choose a chair in the front row is 0.3 or 30%.

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The equation that gives d as a function of h is d = 7200/h

The apparent height of the tower would be 3.6 inches

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

Apparent height (h) = 800 feet

Distance (d) = 9 inches

Variation = inverse variation

The inverse variation implies that

k = dh

Where k is the constant of variation

Substitute the known values in the above equation, so, we have the following representation

k = 800 * 9

k = 7200

So, we have

7200 = dh

Make d the subject

d = 7200/h

Here, we have

She was standing 2000 feet away from the tower

This means that

d = 2000

So, we have

2000 = 7200/h

Make h the subject

h = 7200/2000

Evaluate

h = 3.6

This means that the height is 3.6 inches

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The difference of the given fraction is expressed as \(\frac{x^2+4x-1}{x(x+2)}\)

Given the expression:

Take the LCM of the fraction to have:

\(=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}\)

Hence the difference of the given fraction is expressed as \(\frac{x^2+4x-1}{x(x+2)}\)

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Answer:

its B. x^2+4x+1 / x(x+2)

Step-by-step explanation:

did it on edge

The edge length of each cube, out of 27 similar cubes with a total volume of 3375 cm³, is 5 cm.

To find the edge length of one cube, we can divide the total volume of the cubes by the number of cubes.

Given:

Total volume of 27 cubes = 3375 cm³

We need to find the edge length of one cube.

Let's denote the edge length of one cube as "x."

The volume of a cube is calculated by taking the cube of its edge length:

Volume of one cube = x³

Since we have 27 cubes with the same edge length, the total volume is the sum of the volumes of all the cubes:

Total volume of 27 cubes = Volume of one cube × Number of cubes

3375 cm³ = x³ × 27

To solve for x, we divide both sides of the equation by 27:

3375 cm³ / 27 = x³

125 cm³ = x³

Taking the cube root of both sides gives us:

∛125 cm³ = ∛x³

5 cm = x

Therefore, the edge length of one cube is 5 cm.

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As per the given expression, Roberto is suitable one for  a rectangular garden arrangement.

Here we have given that the garden club plants a rectangular garden that has been divided into six sections.

Here we know that the members want to find the area of the sections they planted with herbs.

And Roberto says they can use the expression 2(3)+2(3) and jay says they can use the expression (4.9).

While we looking into the expression, here we have to simplify the expression, then we get,

=> 2(3) + 2(3)

=> 6 + 6 = 12

And the simplified expression of Jay is

=> 4 x 9

=> 36

Therefore, both expression is not equivalent.

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Answer:

13.2 gallons

Step-by-step explanation:

286/260 *12 = 13.2

Answer:

about 13.2 gallons

Step-by-step explanation:

Easy way to calculate.

12 gallons divided by 260 miles

Take that answer and multiply it by 286.

Answer:

k = -0.4

Step-by-step explanation:

Step 1: Write equation

2k + 9 = 7 - 3k

Step 2: Solve for k

Step 3: Check

Plug in k to verify it's a solution.

2(-0.4) + 9 = 7 - 3(-0.4)

-0.8 + 9 = 7 + 1.2

8.2 = 8.2

Answer:

k = -0.4

Step-by-step explanation:

there is the answer i got it from my test!:) have a great rest of your day!

Answer:

n + 6 > 31

Step-by-step explanation:

Step-by-step explanation:

Greetings !

Firstly, write down the given expression

\(g(x) = 2x + 8x - 1\)

simplify it to be more accurate where 2+8=10

\(g(x) = 10x - 1\)

plug in -3 in the value of x and simplify the expression

\(g( -3 ) = 10( - 3) - 1 \\ g( - 3) = - 30 - 1\)

Thus, subtract the numbers

\(g( - 3) = - 31\)

Hope it helps!

Answer:

D.

Step-by-step explanation:

I don't know for a fact but I'm pretty sure its D. sorry if its wrong.

Hope this helped.

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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The nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

Given the 13th unit requires 87 minutes and 26th unit requires 64 minutes.To find the estimated time required by the 50th unit, we need to use the equation of the linear equation of the line.Let's find the value of m (slope).`m = (64 - 87)/(26 - 13)m = -23/13`Let's find the value of b (y-intercept).`b = 87 - (-23/13) × 13b = 87 + 23b = 110`

Therefore, the equation of the line can be written as:y = -23/13 x + 110Let's substitute the value of x as 50 and find the value of y (time required by the 50th unit).`y = -23/13 × 50 + 110y = 47.31`Rounded to the nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

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The distance between the end of the water supply pipe and the sink should be 2 times the diameter of the supply pipe. Option B is the correct answer.

The distance between the end of the water supply pipe and the sink is determined by plumbing codes and standards to ensure safe and efficient water delivery.

The National Standard Plumbing Code requires a minimum distance of 2 times the diameter of the supply pipe between the end of the pipe and the nearest point of use, such as a faucet or sink.

This helps prevent any potential contamination from the supply pipe and ensures adequate flow and pressure for efficient operation.

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Decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

The expression SS stands for "sum of squares", which is a statistical concept used in analysis of variance (ANOVA) to quantify the variation in a dataset. The components of this expression, a, b, c, and d, represent different sources of variation in the dataset, and their meanings are as follows:

a. (df)(s^2): This component represents the sum of squares due to the effect of the independent variable, also known as the factor or treatment. It is calculated by multiplying the degrees of freedom (df), which is the number of levels of the factor minus one, by the variance of the data within each level (s^2). This component quantifies the amount of variation in the dependent variable that can be explained by the independent variable.

b. (df)(s): This component represents the sum of squares due to the interaction between the independent variable and other factors, also known as the interaction effect. It is calculated by multiplying the degrees of freedom (df) by the standard deviation (s) of the data. This component quantifies the amount of variation in the dependent variable that is due to the joint effect of the independent variable and other factors.

c. (n)(s^2): This component represents the sum of squares due to the variation within groups, also known as the error or residual sum of squares. It is calculated by multiplying the sample size (n) by the variance of the data within each group (s^2). This component quantifies the amount of variation in the dependent variable that is not explained by the independent variable or other factors.

d. (n)(s): This component represents the sum of squares due to the variation between the sample mean and the overall mean, also known as the total sum of squares. It is calculated by multiplying the sample size (n) by the standard deviation (s) of the data. This component quantifies the total amount of variation in the dependent variable.

In summary, the expression SS = a. (df)(s^2) + b. (df)(s) + c. (n)(s^2) + d. (n)(s) represents the decomposition of the total sum of squares into its components due to the independent variable, interaction effect, error, and total variation. This decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

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Answer:

B: c^11

Step-by-step explanation:

Separate the equation:

c^14/c^6 + c^3/c^6

c^14-6 + c^3/c^6 = c^8 + c^3/c^6

c^8 + c^3-6

c^8 + c^-3

Turn the -3 positive

The final equation = c^8+c^3

Therefore, c^11 is the correct answer.

Answer:

B) c^11

Step-by-step explanation:

Answer:

x ∈ { ( 6 + \(\sqrt{23}\) * i) , { ( 6 - \(\sqrt{23}\) * i) }

Step-by-step explanation:

Given: \(x^2-12x+59=0\)

First, collect like terms. \(x^2\) and -12x, 59 and 0:

\(x^2-12x=0-59\)

+59 is changed to -59 when transferred. Then subtract:

( x - 12 ) x = -59

Finally divide both sides by -59:

x ∈ { ( 6 + \(\sqrt{23}\) * i) , { ( 6 - \(\sqrt{23}\) * i) }

Answer:

factor out the GCF

Step-by-step explanation:

A real-world example of how piecewise functions can be used is in:

Modeling electricity pricing, where different rates are said to be used for different usage tiers.

Calculating income tax based on different types of income brackets.

Here, we have,

Piecewise functions are tools that are often used for representing ways where the connection between variables alters under varying intervals or conditions.

To demonstrate the application of piecewise functions, consider the following example such as  calculating taxes on income. where a different nations implement an income tax system that make use of a segmented function to determine tax rates based on various income brackets.

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complete question;

What’s a real world example of how piece wise functions can be used?

Answer: i tried to do this and the closes was to letter B i hope this helps

Step-by-step explanation:

Answer:

\(-8x \leq -4\)

Step-by-step explanation:

You do not know what number -8 will be multiplied by, so the number will be substituted with an x, resulting in -8x. Since the problem says "at most," that means the your equation will require a less than or equal to sign. -4 is the highest that -8x can go therefore it belongs on the right side of the equation in which the "open-mouth" is pointing.

The x- and y-intercepts of the function are 25/9 and 25, respectively

The x-intercept

The equation of the function is given as

9x+y=25.

For the x-intercept, we set y equal to 0

So, we have

9x + 0 = 25

Evaluate the sum

9x = 25

Divide both sides by 9

x = 25/9

The y-intercept

The equation of the function is given as

9x+y=25.

For the y-intercept, we set x equal to 0

So, we have

9(0) + y = 25

Evaluate the product

0 + y = 25

Evaluate the sum

y = 25

Hence, the intercepts are 25/9 and 25

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Answer:

3.1

Step-by-step explanation:

if the last number is less thank five round down

Answer:

x=-5 x=3

Step-by-step explanation:

Answer:

$13

Step-by-step explanation:

132.11 rounded to nearest 10 is 130.

130 x .1  = 13

$13 tip

Answer:

what if i took the 4 other ones??

Answer:

4 kids

Step-by-step explanation:

6 minus 2 equals 4. it one easy qusation