log(x-1)+log(x+2)=log12

Answer:24 in

Step-by-step explanation:

the answer is 6 sqrt 3 my shlime

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:

V: 700

Step-by-step explanation:

refer to the pics. please rate and thumbs up

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: its C just took on edge

Step-by-step explanation:

Answer:

$1,467.20

Step-by-step explanation:

Adjusted monthly income is the gross income minus any payments made every month. 5600 - 360 = 5240. To get 28% of her adjusted income multiply 5240 X.28 =1467.20

To calculate 28% of $5600, multiply 5600 by 0.28. The result is $1568, which is 28% of Adeva's gross monthly income.

The issue is figuring out 28% of Adeeva's gross monthly salary, which is fixed at $5600. The calculation is simple to perform using the (Amount/Total) x 100 rule for percentage calculations. The decimal equivalent of 28% is 0.28, so multiply $5600 by that number to get 28%. The computation yields a value of $1568. Therefore, $1568 or 28% of Adeeva's gross monthly revenue. By analyzing particular sections of overall profits, this technique demonstrates a fundamental use of percentages, enabling accurate financial computations and planning.

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Answer:

0 times, it's too big of a number to go into 6.

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.

Answer:

Step-by-step explanation:

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

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:

"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:

I think it is 7hours and 15 min

Step-by-step explanation:

We start with

[tex]\sqrt{2x+4}=16[/tex]

Since both sides of the equality are positive, we can square them to get

[tex]2x+4=256[/tex]

Subtract 4 from both sides and then divide both sides by 2:

[tex]2x+4=256 \iff 2x=252\iff x=126[/tex]

Answer:

x=126

Step-by-step explanation:

Answer:

54 square units

Step-by-step explanation:

12 times 9 = 108

108 divided by 2 equals 54

Answer:

Letter A is 12*12*12*12*12*12*12*12*12*12*12*12*12*12*12=180

Letter B is y , x = 2

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

since 6/6 equals a whole, then 6/6 equals 1 pound. Since she feeds the birds 1/6 of a pound each day, just find out how many 6th are in 4 pounds (24).

Hope this helps :) good luck

Answer:

45

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

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:

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:

41/5

Step-by-step explanation:

24/5 + 17/5 = 41/5

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:

Approximately 4.47 or the square root of 20.

Step-by-step explanation:

use distance formula

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: Option C

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

Step-by-step explanation:

Answer:

The example stated indicate that there is no difference in the means of the two samples

Step-by-step explanation:

Solution

Recall that

The Confidence interval in the mean length of male (sample 1) and female sample (2) babies,which is,

Male babies= sample 1

Female babies = sample 2

What is the difference in length between male and female babies as suggested by the Confidence interval

Now,

The calculated Confidence interval is given as:

-0.2 < mu1 - mu2 < 1.7

So,

0 is included in the above CI, this indicates or suggests that there is no difference in the means of the two samples

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:

84 cm^3

14080 cm^3

81 cm^3

Step-by-step explanation:

Remember the formulas for volume, and you're golden.

a) V(prism) = area of base * height

                  = 12 cm^2 * 7 cm = 84 cm^3

b) V(prism) = area of base * height

                  = 88 cm^2 * 160 cm = 14080 cm^3

c) V(cylinder) = area of base * height

                      = 54 cm^2 * 1.5 cm = 81 cm^3

Answer:

84 cm^3

14080 cm^3

81 cm^3

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

Answer: B) -4 and E) 4

Step-by-step explanation:

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