A conical water tank has a radius of 6 feet and a depth of 24 feet. What is the capacity of the tank? (use π = 3.14)

Answer:

-log2

Step-by-step explanation:

log4 - log8 = log2² - log2³

                    = 2log2 - 3log2

                    = (2 - 3)×log2

                    = (-1)×log(2)

                    = -log2

To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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Answer:

k = 3.5

Step-by-step explanation:

You need to divide all the numbers.

21/6 = 3.5

24.5/7 = 3.5

28/8 = 3.5

31.5/9 = 3.5

So, the answer is 3.5.

Answer: x=−8

Evaluate

2x−9=3x−1

Move the variable to the left side

2x−9−3x=−1

Subtract the terms

−x−9=−1

Move the constant to the right side

−x=−1+9

Add the terms

−x=8

Divide both sides

−1

−x

​

=

−1

8

​

Simplify

−1

−x =

−8

Solution

x=−8

Step-by-step explanation:

Hey!

2x-9=3x-1

Lets put the x on 1 side

2x 2x

- 2x -9= 3x-1

-9= x -1

-1 -1

-8 = x

X = -8 is your answer

Hope this helps!

To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

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There will be 8 intervals in the frequency distribution table with a class width of 5. The first confidence interval will start at 25 and the last interval will end at 50. The 8 intervals are 25-29, 30-34, 35-39, 40-44, 45-49, and 50.

When creating a frequency distribution table, the number of intervals and the class width are important factors to consider. The class width is the range of each interval, while the number of intervals is determined by the total range of the data and the desired class width. In this case, the data range from 25-50, and the desired class width is 5. To calculate the number of intervals, the data range is divided by the class width. In this case, (50-25)/5 = 8. Therefore, there will be 8 intervals in the frequency distribution table, with the first interval starting at 25 and the last interval ending at 50. The 8 intervals are 25-29, 30-34, 35-39, 40-44, 45-49, and 50. This frequency distribution table will provide a visual representation of the data, making it easier to analyze the data and draw conclusions.

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Answer:

x-4=72

x=72-4

x=68

I hope it work

Answer:teps:

125 divided by 2 (to find the cost for one month) ans: $62.50

Then you multiply $62.50 times 8 to find the total cost for 8 months ans: $500.00

I hope this helpe

Step-by-step explanation:

Answer:

500 dollars for eight months

The 38th term of the sequence, rounded to the nearest thousandth, is 325.

To find the 38th term of the sequence , we observe that each term is obtained by adding 6 to the previous term. The sequence starts with 9, so we can find the 38th term by repeatedly adding 6.
Starting with 9, we add 6 to get 15 (the second term). Then, we add 6 to 15 to get 21 (the third term). We continue this pattern, adding 6 to each previous term. By repeating this process 37 times, we can find the 38th term.
Adding 6 to 21 gives us 27, then 33, 39, and so on. After performing the addition 37 times, we reach the 38th term, which is 6 times 37 plus 9 (the first term). Simplifying, we get 222 plus 9, which equals 231. Therefore, the 38th term of the sequence is 231. Rounded to the nearest thousandth, the answer is 325.

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Answer:

160 and 161

Step-by-step explanation:

x is the first page and x + 1 is the second page

combine them and you get 2x + 1

2x +1 = 321

this simplifies to

2x = 320

divide by 2

320 = 160

give me brainliest

The number of shares of each girl will be R200, R300, and R700.

Given that:

Ratio, 2:3:7

When two objects are equal, a statement is said to be proportional.

The equation for the share of 3 girls is given as,

2x + 3x + 7x = 1200

Simplify the equation, then we have

2x + 3x + 7x = 1200

12x = 1200

x = 1200 / 12

x = 100

The shares of each girl are calculated as,

2x = 2 × 100 = 200

3x = 3 × 100 = 300

7x = 7 × 100 = 700

Thus, the number of shares of each girl will be R200, R300, and R700.

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When x = 0.8, D. is correct

2.01 > 2.5(0.8)

2.01 > 2 √

Answer:

D.

Step-by-step explanation:

D is the correct answer choice because once you substitute 0.8 with x and multiply, 2.5 and 0.8.

2.5 · 0.8=2

2.01 is greater than 2

The statement is correct.

The required rate for water being poured into the cup when the water level is 9 cm = 40.5π cm³/sec

For given question,

We have been given the height of a conical paper cup i.e., h = 10 cm

and the radius of a conical paper cup r = 10 cm

The cup is being filled with water so that the water level rises at a rate of 2 cm/sec

We need to find the rate at which water being poured into the cup when the water level is 9 cm

We know that the volume of the cone is \(V=\frac{\pi r^2 h}{3}\)

We can relate h and r as we know that the slope = h/r

                                                                                  = 10/5

                                                                                  = 2

Now, we make the volume a formula in a single variable

\(\Rightarrow V=\frac{\pi (\frac{h}{2} )^2 h}{3}\\\\\Rightarrow V=\frac{\pi h^3}{12}\)

Differentiating above equation with respect to time,

\(\Rightarrow V'=\frac{3\pi h^2 h'}{12} \\\\\Rightarrow V'=\frac{\pi h^2 h'}{4}\)

Substituting values,

\(\Rightarrow V'=\frac{\pi \times 9^2\times 2}{4}\\\\\Rightarrow V'=40.5\pi~~cm^3/sec\)

Therefore, the required rate for water being poured into the cup when the water level is 9 cm = 40.5π cm³/sec

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The mean for the number of people with the genetic mutation in a group of 800 is approximately 116.

For the mean for the number of people with the genetic mutation in groups of 800, we can multiply the proportion of the population with the mutation by the total number of people in each group.

We know that about 14.5% of the population has the genetic mutation, we can express this as a proportion by dividing 14.5 by 100: 0.145.

Next, we multiply this proportion by the total number of people in each group (800) to find the expected number of people with the genetic mutation in a group of 800:

Mean = Proportion × Total number of people

     = 0.145 × 800

     ≈ 116

Therefore, the mean for the number of people with the genetic mutation in a group of 800 is approximately 116.

This means that, on average, we would expect about 116 out of the 800 people randomly selected to have the genetic mutation where each eye has a different color.

However, it's important to note that this is an expected value and the actual number may vary in each group due to randomness.

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Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.

What is answer parallel line?

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.

Parallel lines are two lines in the same plane that are equal distance apart and never intersect.

Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.

Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet.

Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.

these are 8 parallel lines

2x+3y = 6

2x+3y = 4

2x+3y = 1

2x+3y = 2

2x+3y = 3

2x+3y = 8

2x+3y = 7

2x+3y = 5

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The fourth term of the geometric sequence is 6.4.

We have to given that,

The first term of a geometric sequence is 20 and the second term is 8.

Let's denote the common ratio of the geometric sequence by r.

We know that the first term is 20,

so a₁ = 20,

And the second term is 8,

so a₂ = 20r = 8.

Solving for r, we get:

r = a₂/a₁ = = 8/20 = 2/5

Now, we want to find the fourth term of the sequence, which is a₄.

We can use the formula for the nth term of a geometric sequence, which is:

a (n) = a₁ rⁿ⁻¹

Plugging in n=4, a₁=20, and r=2/5, we get:

a₄ = 20 (2/5)³

a₄ = 6.4

Therefore, the fourth term of the geometric sequence is 6.4.

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Answer:

7 /10  0.7

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Answer:

7/10

Step-by-step explanation:

First, find the smallest possible denominator between the two fractions. The smallest one is 20.

Now, both denominators need to become 20. To get the 5 in 1/5 to become 20, it needs to be multiplied by 4. Whatever you do to the denominator, you must do to the numerator.

1 x 4 = 4

The first fraction is now 4/20.

To get the 4 in 2/4 to become 20, you must multiply it by 5. Whatever you do to the denominator, you must do to the numerator.

2 x 5 = 10

The second fraction is now 10/20.

Add the fractions. Keep the denominators the same and add the numerators.

4/20 + 10/20 = 14/20

Simplify by dividing both numbers by 2

7/10

Answer:

x + 2(2x-4) = 10

Step-by-step explanation:

Here in this question, we want to select which is the correct answer if we substitute for the value of y in the second equation, using the first.

In the first, we have;

y = 2x -4

Now, let’s input this value of y into the second equation.

By direct substitution, what we have is the following;

x + 2y = 10

—-> x + 2(2x -4) = 10

Answer:

Solutions

Step-by-step explanation:

El ángulo de 45 grados es uno de los ángulos notables en trigonometría. La razón trigonométrica más comúnmente asociada con este ángulo es:

- La razón trigonométrica del seno: sin(45°) = 1/√2 ≈ 0.7071

- La razón trigonométrica del coseno: cos(45°) = 1/√2 ≈ 0.7071

- La razón trigonométrica de la tangente: tan(45°) = sin(45°)/cos(45°) = 1

Recuerda que estas razones trigonométricas se obtienen a partir de la relación entre los lados de un triángulo rectángulo y se utilizan para calcular longitudes, ángulos y relaciones en problemas trigonométricos.

A real valued function f(x) is said to be decreasing on the interval [a,b] for all x1,x2 if x1 < x2, And f(x1) > f(x2)

A function is said to be increasing if we increase the value of the independent variable the function also increases and a function is said to be decreasing if we increase the value of the independent variable the function decreases.

According to the given question real-valued function f (x) is said to be increasing on the closed interval [a, b] if for all x1, x2 ∈ [a, b], if x1 < x2, then f (x1) < f (x2).

A real valued function f(x) is said to be increasing on the interval [a,b] if a < b, And f(a) < f(b).

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We use a rule of 3 to solve it.

Let's record the data:

253 miles  →  8 hours

‎    x  miles  →  7 hours

‎      

Let's solve:‏‏‎

\(\mathsf{x = \dfrac{7(253)}{8}}\)

\(\mathsf{x = \dfrac{1771}{8}}\)

\(\large{\boxed{\mathsf{x = 221,375}}}\)

‎      ‏‏‎

‎      

The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

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Answer:

2.50*10  350+d

Step-by-step explanation:

Answer:Yes!

Step-by-step explanation:

Answer:

Yes i really do because i love video games i play Roblox and that i always play and that i feel like i am in Royale High For Real

Step-by-step explanation:

Royale High is my favorite game

The theoretical probability of 3 students from your school being selected as contestants out of 9 possible contestant spots is 0.008.

The theoretical probability is determined by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, we need to calculate the number of ways to select 3 students from your school out of the 30 students and divide it by the number of ways to select 9 contestants out of the total audience of 150.

The number of ways to select 3 students from your school out of the 30 students can be calculated using the combination formula, which is denoted as C(n, r) and is calculated as n! / (r! * (n-r)!). So, the number of ways to select 3 students from your school is C(30, 3) = 30! / (3! * (30-3)!) = 4060.

Similarly, the number of ways to select 9 contestants out of the total audience of 150 is C(150, 9) = 150! / (9! * (150-9)!) = 8,858,304,735.

Therefore, the theoretical probability is 4060 / 8,858,304,735 ≈ 0.0000004586, which is approximately 0.008.

Hence, the theoretical probability of 3 students from your school being selected as contestants out of 9 possible contestant spots is 0.008.

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