Please help me ASAP!!

A minimum of 3 weighings are required to identify the heavy marble out of 8 marbles.

As all the marbles weigh the same except one which is heavier, therefore firstly 8 marbles are divided into half. 4 marbles are placed in one pan while the other 4 are placed in another pan. In this two-pan balance, the pan which is lower than the other contains a heavier marble.

Now, the pan with heavier marble has 4 marbles which are again divided into half. 2 marbles are placed in each pan. Similarly, the pan with heavier marble goes down as compared to another pan with 2 marbles of the same weight. Now the final weighing is done by placing 1 marble in each pan out of 2 marbles taken from the pan which went down before as compared to another pan.

The pan with heavier marble will move down and thus with 3 weighings, a heavier marble is identified.

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Answer:  $81.60

Step-by-step explanation:

Bill: $68.00

Tip: $13.60

Total: $81.60

Answer:

81.60

Step-by-step explanation:

Find the total amount of the bill

First, determine the amount of the tip

68 * 20%

68 * .2

13.60

Add this to the bill

68 + 13.6

81.60

The inverse function of f(x) is \(f^{-1}(x) = \sqrt{x - 6}\) and the domain is x > 6

The function is given as:

f(x) = x^2 + 6

Rewrite as:

y = x^2 + 6

Swap x and y

x = y^2 + 6

Subtract 6 from both sides

y^2 = x - 6

Take the square root

\(y = \sqrt{x - 6}\)

Rewrite as:

\(f^{-1}(x) = \sqrt{x - 6}\)

Hence, the inverse function of f(x) is \(f^{-1}(x) = \sqrt{x - 6}\) and the domain is x > 6

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m<1 is 50

m<2 is 130

m<3 is 50

m<4 is 130

m<5 is 40

m<6 is 140

m<7 is 90

m<8 is 140

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Answer: $167.02

Step-by-step explanation:

Amount spent when there's discount

= $150.32

Discount = 10%

Since there's a discount of 10%, it means that (100% - 10%) = 90% of the value of the good was paid.

Let the original value be x.

Therefore, 90% of x = $150.32

90% × x = $150.32

0.9 × x = $150.32

0.9x = $150.32

x = $150.32/0.9

x = $167.02

The value is $167.02

Answer:

D :)

Step-by-step explanation:

Answer:

12.56 m

Step-by-step explanation:

The circumference of a circle is given by

C  = 2 * pi *r

C = 2 * (3.14) * 2

C =12.56

Labor productivity in this case is equal to 10 baskets.

When eight weavers are employed, and output is 80 baskets, labor productivity is equal to 10 baskets.

A labor productivity measure is a way of estimating the amount of output generated per unit of labor.

The following formula is used to calculate labor productivity:

                               Total output produced / Total number of workers involved in the production.  

Therefore, in this case, labor productivity will be equal to the total output produced divided by the total number of weavers employed.

Mathematically, Labor productivity = Total output produced / Total number of weavers employed

Given,The number of weavers employed, n = 8Output produced, Y = 80 baskets

Substitute the above values into the formula for labor productivity,

                        Labor productivity = Total output produced / Total number of weavers employed

                                                   = 80 / 8= 10

Thus, labor productivity in this case is equal to 10 baskets.

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We can simulate the total expected number of calls to an emergency room for a five-day interval given the information provided as follows: We can take the product of each call frequency (0, 1, 2, 3, 4)

With its corresponding number of days, as shown in the table below: Calls of Days Product 0210 115 230 39 412. The sum of the products gives us the expected total number of calls for a five-day interval.

= 0 + 15 + 60 + 27 + 48

= 150

Therefore, the total expected number of calls to an emergency room for a five-day interval is 150.

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The difference quotient for the function f(x) = 69x + 2 is a constant value of 69. This means that the average rate of change of the function over any interval is always 69.

To evaluate and simplify the difference quotient for the function f(x) = 69x + 2, we first need to understand what the difference quotient represents. The difference quotient is a mathematical expression that measures the average rate of change of a function over a given interval. It is defined as:

[f(x + h) - f(x)] / h,

where h represents a small change in the x-values.

Let's proceed with calculating the difference quotient for the given function:

[f(x + h) - f(x)] / h

= [(69(x + h) + 2) - (69x + 2)] / h

= [69x + 69h + 2 - 69x - 2] / h

= (69h) / h

= 69.

To simplify the expression, we used the distributive property to expand the function f(x + h). Then, we simplified the numerator by combining like terms. The constant terms 2 and -2 canceled each other out. The h term in the numerator can be factored out, which allows us to cancel it out with the h term in the denominator. Finally, we are left with the simplified expression of 69.

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Answer:

\(\frac{27y^6}{8x^{12}}\)

Step-by-step explanation:

1) Use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3x^{-5+2}{y^3}}{2z^0yx}) ^3\)

2) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3\times\frac{1}{x^3} y^3}{2x^0yx} )^3\)

3) Use Rule of Zero: \(x^0=1\).

\((\frac{\frac{3y^3}{x^3} }{2\times1\times yx} )^3\)

4) use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3y^3}{2x^{3+1}y} )^3\)

5) Use Quotient Rule: \(\frac{x^a}{x^b} =x^{a-b}\).

\((\frac{3y^{3-1}x^{-4}}{2} )^3\)

6) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3y^2\times\frac{1}{x^4} }{2} )^3\)

7) Use Division Distributive Property: \((\frac{x}{y} )^a=\frac{x^a}{y^a}\).

\(\frac{(3y^2)^3}{2x^4}\)

8) Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{(3^3(y^2)^3}{(2x^4)^3}\)

9) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{(2x^4)^3}\)

10)  Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{26y^6}{(2^3)(x^4)^3}\)

11) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{8x^12}\)

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Answer:

\(\displaystyle \frac{27y^{6}}{8x^{12}}\)

Step-by-step explanation:

\(\displaystyle \biggr(\frac{3x^{-5}y^3x^2}{2z^0yx}\biggr)^3\\\\=\biggr(\frac{3x^{-5}y^2x}{2}\biggr)^3\\\\=\frac{(3x^{-5}y^2x)^3}{2^3}\\\\=\frac{3^3x^{-5*3}y^{2*3}x^3}{8}\\\\=\frac{27x^{-15}y^{6}x^3}{8}\\\\=\frac{27y^{6}x^3}{8x^{15}}\\\\=\frac{27y^{6}}{8x^{12}}\)

Notes:

1) Make sure when raising a variable with an exponent to an exponent that the exponents get multiplied

2) Variables with negative exponents in the numerator become positive and go in the denominator (like with \(x^{-15}\))

3) When raising a fraction to an exponent, it applies to BOTH the numerator and denominator

Hope this helped!

Answer: 2

Step-by-step explanation:

The numbers are;

-15, -3⁴/₅, -1.5, ____, 2.3, 5²/₃

An integer that can be inserted on the blank line is one that is greater than -1.5 but less than 2.3.

I choose 2.

To find the amplitude, period, and frequency of a trigonometric function, you need to examine its equation. Trigonometric functions are typically written in the form:

f(x) = A * sin(Bx + C) + D

where:

• A represents the amplitude,

• B determines the frequency and period,

• C is a phase shift (if any), and

• D is a vertical shift (if any).

Here's how you can find each parameter:

1. Amplitude (A):

The amplitude represents the maximum displacement from the average or mean value of the function. It is the coefficient that multiplies the trigonometric function. In the equation f(x) = A * sin(Bx + C) + D, the amplitude is A.

2. Frequency (f) and Period (T):

The frequency and period are closely related. The period (T) is the length of one complete cycle of the function, while the frequency (f) is the number of cycles per unit of time. The frequency is the reciprocal of the period, so f = 1 / T.

To find the period, you need to look at the coefficient B. If the function is of the form sin(Bx), then the period is given by T = 2π / B. If the function is cos(Bx), the period remains the same.

3. Frequency (f):

Once you have the period (T), you can find the frequency (f) using f = 1 / T.

By examining the equation of the trigonometric function and following the steps above, you can determine the amplitude, period, and frequency of the function.

To find the amplitude, period, and frequency of a trigonometric function, you need to examine the equation representing the function. Here is a explanation.

Amplitude: The amplitude represents the maximum displacement or height of the function from its average or mean value. It is usually denoted as "A" in the trigonometric function equation. To find the amplitude, identify the coefficient multiplying the trigonometric function. If there is no coefficient, the amplitude is assumed to be 1.

Period: The period is the length of one complete cycle of the trigonometric function. It represents the distance between two consecutive peaks or troughs of the function. To find the period, identify the value inside the trigonometric function's argument (the value inside the parentheses) that determines the period. If there is no value, the period is assumed to be 2π.

Frequency: The frequency represents the number of cycles of the trigonometric function that occur per unit interval. It is the reciprocal of the period and is usually denoted as "f." The frequency can be calculated by taking the reciprocal of the period: f = 1/period. By analyzing the equation, you can determine the amplitude, period, and frequency of the trigonometric function, which provide essential information about its behavior and characteristics.

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The answer is A) i.e. Both will increase.

If the point in the upper left corner of the Explanatory variable versus the Response variable scatterplot is removed, the correlation (r) and the slope of the line of best fit (b) will change.

In a data graph or dataset you're dealing with, an outlier is a data point that is unusually high or unusually low in comparison to the closest data point and the rest of the nearby coexisting values. if the point is an outlier, removing it will increase the correlation (r) and the slope of the line of best fit (b).

Therefore, the answer is A) Both will increase.

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Given question is incomplete, the complete question is below

If the point in the upper left corner of the Explanatory variable versus the Response variable scatterplot shown below is removed, what will happen to the correlation (r) and the slope of the line of best fit (b) ?

Possible answers

A) Both will increase

B) r will increase and b will decrease

C) They will not change

D) r will decrease and b will increase

E) Both will decrease

The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution  (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

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Answer:

3/4

Step-by-step explanation:

9 and 12 are both divisible by 3

the others like 4 and 10 aren't

Answer:

You already have put the answer down!

Step-by-step explanation:

Answer:

y = x² -8x + 16

Step-by-step explanation:

y = (x -4)^2

y = (x -4) * (x -4)

use the FOIL method

y = x*x -4x -4x +16

y = x² -8x + 16

Answer:

2+(-35)

Step-by-step explanation:

please make me brainlist i would love the support

Given function is, \(f(x) = \frac{x^3 - 27}{x^2 + 5}\) To find the horizontal asymptote, we will have to divide the numerator with the denominator to see the degree of the numerator and denominator.

Here, the degree of the numerator is 3 and the degree of the denominator is 2.Therefore, the horizontal asymptote can be found by dividing the coefficient of the highest degree term of the numerator by the coefficient of the highest degree term of the denominator, which is: y = x

The degree of the numerator is greater than the degree of the denominator by 1. Hence, the oblique asymptote exists, and it can be found using the division method by dividing x³ by x². We get x as the quotient. Now, we will write this in the form of a linear equation, which is: y = x.

Therefore, the horizontal or oblique asymptote of the given function is y = x. The equation for the horizontal asymptote for y = x + 5 is y = x. The equation for the horizontal asymptote for y = 2x - 4 is y = 2x.The equation for the horizontal asymptote for y = 2x + 3 is `y = 2x.

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Answer:

y=4/3x+4

to find the slope you need 2 coordnates which in this case is (0,4) and (-3,0) and use point slope form to find the slope

remember slope intercept form is y=mx+b

point slope form-

y1-y2/x1-x2=4-0/0-(-3)=4/3

so the slope is 4 over 3 and then look for the y intercept on the grapgh

now you fill in y=mx+b

y=4/3+4

Answer:9 ounces of flours

Step-by-step explanation:90:9 ratio or sugar to flour

The probability of exactly one processor having no jobs is 4/9 when a  computing center has 3 processors that receive n jobs.

The probability that exactly one processor has no jobs can be calculated using the binomial distribution. The number of successful trials (having exactly one processor with no jobs) is denoted by k and the total number of trials (number of ways to assign n jobs to 3 processors) is denoted by n. The probability of success in each trial is 1/3 (the chance that a particular processor has no jobs) and the probability of failure is 2/3 (the chance that a particular processor has one or more jobs).

Using the formula for binomial distribution, the probability that exactly one processor has no jobs can be calculated as follows:

\(P(X = k) = (n choose k) * (1/3)^k * (2/3)^{(n-k)}\)

where (n choose k) is the number of combinations of n items taken k at a time, and can be calculated as n! / (k! * (n-k)!).

For the given scenario, n = 3 and k = 1, so the probability of exactly one processor having no jobs is:

\(P(X = 1) = (3 choose 1) * (1/3) * (2/3)^2 = 3 * (1/3) * (4/9) = 4/9.\)

Hence, the probability of exactly one processor having no jobs is 4/9.

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The average speed of the train and the bus is 50 miles per hour.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

The average speed is defined as the total distance travelled by the object in the total time.

Given that valentine travels 70 miles to Rome by train and then takes a bus 30 miles to the coliseum. the bus travels 24 miles per hour slower than the train. The total time travelling on the bus and train is 2 hours.

The average speed is calculated as,

Average speed= Total distance / total time

Average speed = (70 + 30) / 2

Average speed = 100 / 2

Average speed = 50 miles per hour

Therefore, the average speed of the train and the bus is 50 miles per hour.

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Answer:

the answer is 18

Step-by-step explanation:

volume of triangular prism =l×w×h

9×2×1=18

Answer: 69, 420

Step-by-step explanation:

grrrr

The percentage of the total distance is 73%.

In mathematics, the percentage of a number is a ratio expressed as a fraction of 100. The that we use to represent the percentage is the sign “%”. The calculate the percentage of a number we use the following formula.

Percentage% = [ value of number ]/ [Total value ] × 100

Here we have

Olivia fell asleep after they had traveled 243 miles.

The total length of the trip was 900 miles.

The distance that traveled when Olivia fell asleep

= 900 miles - 243 miles

= 657 miles

The percentage of the total trip they traveled when Olivia fell asleep  

= (657/900) × 100 = 73%  

Therefore,

The percentage of the total distance is 73%.

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Answer:

the first option

Step-by-step explanation:

3/3 is equal to one so when you multiply 5/6 by one it stays the same but in this case it equals 15/18

Answer:She sells each serving for $1.50, so she will make 8 * $1.50 = $<<8*1.5=12>>12 from selling all the servings.

Step-by-step explanation:Inez made 6 cups of taco salad and separates it into 3/4 cup servings, so she has 6 / (3/4) = <<6/(3/4)=8>>8 servings.

She sells each serving for $1.50, so she will make 8 * $1.50 = $<<8*1.5=12>>12 from selling all the servings.