what is the domain of the exponential function y=6^x

The volume of the hemisphere with a radius of 9 centimeters is 1526.8 cubic centimeters.

To find the volume of the hemisphere with a radius of 9 centimeters, we use the formula for the volume of a sphere and then divide it by 2, because a hemisphere is half of a sphere. The volume V of a sphere is given by V = (4/3)πr³, where r is the radius.

Therefore, the volume of the hemisphere is V = ½ × (4/3)πr³. Plugging in the given radius:

V_hemisphere = ½ × (4/3)π × (9 cm)³

V_hemisphere = ½ × (4/3) × 3.1416 × 729 cm³

V_hemisphere = ½ × (4× 3.1416 × 243)

V_hemisphere = ½ × 3053.6288 cm³

V_hemisphere = 1526.8144 cm³

When rounded to the nearest tenth, the volume of the hemisphere is 1526.8 cm³.

Answer:

16 cups

Step-by-step explanation:

Amount of club orange juice in bottle = 2 litre = 2000 ml

Capacity of cup = 125 ml

Number of cups in which 125 ml of orange juice can be served = 2000 ÷ 125

                                                                                                         =16

Answer: its C just took on edge

Step-by-step explanation:

Answer:

c.(x - 1)2 + (y - 1)2 = 25

Step-by-step explanation:

Got it on edg 2021

Hope this helps :]

Answer:

"female" and "pass" = 0.7368

"female" and "fail" = 0.2632

"male" and "pass" = 0..7368

"male" and "fail" = 0.2632

Step-by-step explanation:

To find the values for the row relative frequency, we just need to divide each value of the first table by the sum of the values of its respective row.

So, we will have that:

Relative value for "female" and "pass": 42 / (42 + 15) = 0.7368

Relative value for "female" and "fail": 15 / (42 + 15) = 0.2632

Relative value for "male" and "pass": 14 / (14 + 5) = 0..7368

Relative value for "male" and "fail": 5 / (14 + 5) = 0.2632

The two-way table of row relative frequencies should be completed as follows;

               Pass       Fail       Row total

Female    0.74       0.26        1.00

Male        0.74       0.26        1.00

In order to determine each of the values for the row relative frequency, we would have to divide each value in the column by the sum of the values in the corresponding row of the two-way frequency table;

Relative frequency for "female" and "pass" is given by:

42/(42 + 15) = 0.7368 ≈ 0.74.

Relative frequency for "female" and "fail" is given by:

15/(42 + 15) = 0.2632 ≈ 0.26.

Relative frequency for "male" and "pass" is given by:

14/(14 + 5) = 0.7368 ≈ 0.74.

Relative frequency for "male" and "fail" is given by:

5/(14 + 5) = ≈ 0.26.

0.74 + 0.26 = 1.00

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Answer:

41/5

Step-by-step explanation:

24/5 + 17/5 = 41/5

Answer:

no because 7% would not equal a whole piece so D is your answer

Step-by-step explanation:

Answer:

C. No, because 7/10 parts shaded equals 70%.

Step-by-step explanation:

Answer:

Tim is correct.

Step-by-step explanation:

Tim is very simple , he wants 1/2 of the food.

Sandy wants 2/6 of the food, simplifying this to 1/3 to make the tops of both fractions line up.

1/2>1/3

Tim is correct as he has the larger piece

The signs of x and y depend on the quadrant the point is located in, guiding whether each value is positive or negative.

The signs of the values of x and y depend on which side of the origin point P lies. When a point is in the first quadrant, both x and y values are positive.

In the second quadrant, x is negative, and y is positive.

In the third quadrant, both x and y are negative, while in the fourth quadrant, x is positive, and y is negative.

Answer:

Reflecting over the x-axis and then reflecting over the line y = x.  

Step-by-step explanation:

A rotation 90° counterclockwise will map every point (x, y) to (-y, x).

Since the x- and y-coordinates are switched, this is not a reflection across the x-axis followed by a reflection across the y-axis.

Since the y-coordinate is negated and the x- and y-coordinates are switched, this is not a translation.

Reflecting across the x-axis will negate the y-coordinate, giving us (x, -y).  Following this with a reflection across y=x will switch the coordinates giving us (-y, x).  This is the correct transformation.

Answer:

he is correcting

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the first number be x

Given second number is 6 times a first number.

If first number is x then second number is 6*x = 6x

Given third number is 100 more than  the first number

If first number is x then third number is x+100 = x+100

Sum of these three numbers in terms of x

is

sum = x+ 6x+x+100 = 8x+100 __________1

Given, that sum of these numbers is 812.

equating 812 with equation 1 we have,

8x+100  = 812

=> 8x = 812- 100

=> 8x = 712

=> x = 712/8 =  89.

Therefore,

first number = x = 89

second number = 6x = 89*6= 534

third number = x+100 = 89+100 = 189

The three numbers in the problem are 89, 534, and 189. We found these by defining the first number as x, creating equations based on the given relationships, and solving for x.

Let's define the first number as x. According to the problem, the second number would be 6x (as it is 6 times the first number), and the third number would be x + 100 (as it is 100 more than the first number). The sum of these three numbers is given as 812. So, we can set up the equation:

x + 6x + (x + 100) = 812

Combine like terms to simplify the equation:

8x + 100 = 812

Subtract 100 from both sides of the equation:

8x = 712

Divide both sides by 8 to find the value of x:

x = 89

Now that we have the value of the first number, we can find the other two numbers:

The second number is 6 times 89, which is 534.

The third number is 89 + 100, which is 189.

Therefore, the three numbers are 89, 534, and 189.

The Empirical Rule is being used to calculate the height distribution for the male students at a school. Based on the mean height of 71 inches and standard deviation of 2.5 inches, the height interval that represents the middle 95% of the male heights at this school is approximately from 66 to 76 inches.

In the context of this question, we're using statistics, specifically the Empirical Rule, to find a range that represents the middle 95% of heights for the male students. The Empirical Rule states that, in a normal distribution:

Here, the mean height is 71 inches and the standard deviation is 2.5 inches, so applying the Empirical Rule- two standard deviations from the mean would capture about 95% of the heights:

Lower limit = Mean - 2(Standard Deviation)
= 71 - 2(2.5) = 66 inches

Upper limit = Mean + 2(Standard Deviation)
= 71 + 2(2.5) = 76 inches

So the height interval that represents the middle 95% of heights for the males at this school is 66 to 76 inches.

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Using the empirical rule and a normal distribution with a mean of 71 inches and a standard deviation of 2.5 inches, the middle 95% interval of male heights is between 66 inches and 76 inches.

The student from the all-boys school is asking about an application of the empirical rule in statistics, which is useful for understanding data that follows a normal distribution. To find the interval that represents the middle 95% of heights, we apply the empirical rule, which states that 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. Since we are interested in the middle 95%, we calculate the interval by subtracting and adding two standard deviations from the mean.

Calculation steps:

Therefore, the middle 95% of the males heights from this school fall between 66 inches and 76 inches.

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Answer: The length of the side of a square is 20 cm.

Step-by-step explanation:

Part 1: Find the x

First, you know that all sides of a square are equal, therefore, these two equations should be equal.

6x - 1 = 4x+6

Now, you simplify.

You would move whichever like term you want (either 6x over to the side of 4x (or vice versa) or -1 to the side of the 6 (or vice versa)

In my case, I will move 4x over to the other side.

Now I have:

6x - 4x -1 = 6

You can subtract like terms, in this case 6x and 4x:

2x - 1 = 6

Now you do the same, just with the constant numbers.

You would move over the -1 to try isolate the variable. (Keep in mind that the sign (positive or negative) changes when you move it to the other side.

2x = 6 +1

2x = 7

Then, you want to leave x by itself, so you have to divided 2x by 2. What you do to that side, you have to do to the other side.

2x/2 = 7/2

x = 3.5

Part 2: Plugging x into the equation

Now, since you have to x, you have to put it in any of the equations. Keep on mind it doesn’t matter, since both sides are the same anyway.

I‘m going to use the side 6x -1.

You now have to subsitute 3.5 for the x.

You now have:

= 6 (3.5) -1

= 21 -1

= 20

Therefore, your side is equal to 20 cm.

Answer:

Step-by-step explanation:

I'm guessing this is what you were talking about?

Answer:

L. W = 60. 30.

Step-by-step explanation:

Perimeter = 2L + 2W where W = width and L = the length, and L = 2W.

We have the following system:

2L + 2W = 180

L = 2W

Substituting L = 2W in the first equation we have:

2(2W) + 2W = 180

4W + 2W = 180

6W = 180

W = 180/6 = 30.

So L = 2*30 = 60.

Answer: Option C

( C ) The representative sample contained more girls than boys.

Step-by-step explanation:

Answer:

95% confidence interval for the actual average amount of time the entire population can hold their breath under water is between 72.55 and 72.85.

Step-by-step explanation:

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 72.7

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population mean and standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 150 - 1 = 149

Significance level for 95% confidence interval

(100% - 95%)/2 = 2.5% = 0.025

t (0.025, 1499) = 1.975 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 0.92

n = sampling size = 150

σₓ = (0.92/√150) = 0.0751176854 = 0.07512

95% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 72.7 ± (1.975 × 0.07512)

CI = 72.7 ± 0.1483574288

95% CI = (72.55, 72.85)

95% Confidence interval = (72.55, 72.85)

Hope this Helps!!!

Answer:

The perimeter would be 60 units; Option B

Step-by-step explanation:

~ Let us consider this problem. We know that tangent segments are congruent to one another provided they are from one endpoint. According to that, we would note that several segments are congruent to one another...  ~

1. All the tangent segments that "sprout" from one vertex in this plane onto the circle circumscribed in this triangle are congruent, as noted before. According to that the side of the length 18 units has one part equivalent to 8.7 units.

2. With that being said the other part of the side with length 18 units, would be 18 - 8.7 = 9.3 units. Respectfully the side with length of 21.3 units has a part that is congruent to 9.3, by tangent ≅. This other part of the side with 21.3 units now = 21.3 - 9.3 = 12 units. Similarly the side with 8.7 as a part of it, has the other part ≅ to 12 units, it's measure thus also being 12 units.

3. Let us see the measures we have at this point. The perimeter would be ⇒ 8.7 + 8.7 + 9.3 + 9.3 + 12 + 12 = 60 units

Answer:24 in

Step-by-step explanation:

the answer is 6 sqrt 3 my shlime

 ANSWER. BBB

Step-by-step explanation:

Mrs. Jones gave candy bars to 80 children who were wearing costumes. The correct answer is option D.

The question is a classic example of a system of equations problem

Let's call the number of children with costumes x and the number without costumes y. We have two pieces of information that will help us solve for x:

The total number of children is 100, so x + y = 100.

The total amount of money spent on candy is $69, and since candy bars cost $0.80 and gummies cost $0.25, we can express this as 0.80x + 0.25y = 69.

We can solve this system of equations using substitution or elimination method.

Let's use substitution and express y in terms of x from the first equation: y = 100 - x.

Now we substitute this into the second equation:

0.80x + 0.25(100 - x) = 69

0.80x + 25 - 0.25x = 69

0.55x = 44

Solving for x gives us x = [tex]\frac{44}{0.55}[/tex]

Therefore, 80 children wearing costumes were given candy bars by Mrs. Jones. The correct answer is D.

Answer:b=-20

Step-by-step explanation:

You start by subtracting 6 on both sides to get b/5=-4. To get b alone, you multiply by 5 on both sides and get the answer of b=-20

Answer:

its 5

Step-by-step explanation:

bruh

The sum of the geometric sequence can be found by plugging the values into the formula S_n = a * (1 - r^n) / (1 - r) and calculating it using a graphing utility.

The question pertains to finding the sum of a geometric sequence using a graphing utility. The general formula to find the sum of a geometric sequence is S_n = a * (1 - r^n) / (1 - r) where S_n is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms. In your case, our first term a is 15, common ratio r is 5, and number of terms n is 6.

Now, you need to plug these values into the formula and compute the sum. Here's how: S_6 = 15 * (1 - 5^6) / (1 - 5). Solve this equation using your graphing utility to get the sum of the sequence. Remember to round off to three decimal places as needed.

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We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice-cream cone.

We will use volume of cone formula to solve our given problem.

[tex]V=\frac{1}{3}\pi r^2 h[/tex], where

r = Radius of cone,

h = Height of cone.

We know that diameter is two times the radius, so radius will be half of diameter that is [tex]r=\frac{7}{2}[/tex].

[tex]V=\frac{1}{3}\pi\cdot (\frac{7}{2})^2\cdot 10[/tex]

[tex]V=\frac{1}{3}\pi\cdot (\frac{49}{4})\cdot 10[/tex]

[tex]V=128.2817[/tex]

[tex]V\approx 128.3[/tex]

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

Answer: -16

Step-by-step explanation:

Let the number be y

Four times a number minus twenty-one can be written as:

(4 × y) - 21 = 4y - 21

Six times the number plus eleven can be written as:

(6 × y) + 11 = 6y + 11

Combining both equations will give:

4y - 21 = 6y + 11

4y - 6y = 11 + 21

-2y = 32

y = 32/-2

y = -16

The number is -16

Answer:

B

Step-by-step explanation:

No matter what x is, y will always be positive, because the absolute value of x-5 will always be positive. The smallest value that y can be is when x is 5, because then the absolute value of x-5 is 0, and then y is 2. Therefore, the correct answer is B. Hope this helps!

The y values are all greater than or equal to 2. The correct option is B.

A function is a law that relates a dependent and independent variable.

The function is

f(x) = |x − 5| + 2

The domain of the function is all negative and positive integers.

The range is all the possible function values, the function value will always be greater than or equal to 2.

At x = 5 , f(x) = 2

Therefore, the y values are all greater than or equal to 2. The correct option is B.

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Answer:

A good combination will be equal to or greater than 80 ft³. Example

r = 3 ft

h = 5 ft

volume = πr²h

volume = 3.14 × 9 × 5 = 3.14 × 45 =  141.3  ft³ is a good combination of radius and height .

Step-by-step explanation:

The volume of a cylinder  = πr²h

Jeff is planning on building a cylindrical water tank that has a capacity of no less than 80 ft³.  This means he want the volume of the cylindrical tank to be equal to or greater than 80 ft³(volume ≥ 80 ft³). The combinations of radius and height should be equal to or greater  than 80 ft³ when they are inserted in the volume formula of a cylindrical water tank.

For example

volume = πr²h

r = 2 ft

h = 5 ft

volume = πr²h

volume = 3.14 × 2² × 5 = 62.8  ft³ is not a good combination of base radius and height because the volume is less than 80 ft³.

A good combination will be equal to or greater than 80 ft³. Example

r = 3 ft

h = 5 ft

volume = πr²h

volume = 3.14 × 9 × 5 = 3.14 × 45 =  141.3  ft³ is a good combination of radius and height .

Answer:

Mean is 69.8

Median is 77

Range is 54

Step-by-step explanation:

Mean is all numbers added up, then divided by the amount of numbers.

Median is the middle number of all numbers (To find this you put all numbers in order from least amount to highest amount, then you find the most center number of the rest).

Range is the highest number subtracted from the lowest number.

Answer:

Mean:  69.8

Range:  54

Median:  77

Step-by-step explanation:

The mean is the average of the numbers.  The range is the largest number minus the smallest number.  The median is the middle number.

The mean is 69.8.

[tex]\frac{45 + 83+45+77+99}{5} \\\frac{349}{5}\\69.8[/tex]

The range is 54.

99 - 45 = 54

The median is 77.

45  45  77  83  99

Answer

229275

Step-by-step explanation:

Take the previous month sales and cut that in half then add them to the same sales you just cut in half because they've increased by 1/2 and or 0.5