You have a cone with a radius of 4 ft and a height of 12 ft. What is the height of the triangle formed by a perpendicular cross-section through the cone’s center?

Answer:

The slopes of the graphs are the same and the y-intercepts of the graphs are different.

Step-by-step explanation:

Answer:

(3x+8)^2

Step-by-step explanation:

(3x+8)^2

The conclusion that can be drawn from the slope of the values given in the table is:

3. Slope is undefined.

5. Graph is a vertical line.

Slope formula = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex](1000, 20) = (x_1, y_1)\\\\(1000, 23) = (x_2, y_2)[/tex]

[tex]slope(m)=\frac{23 - 20}{1,000 - 1,000}\\\\slope (m) =\frac{3}{0}[/tex] (undefined)

(see attachment for image showing an example of how an undefined slope looks like on a graph.)

Therefore, the conclusion that can be drawn from the slope of values given in the table is:

3. Slope is undefined.

5. Graph is a vertical line.

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Answer:

$136.86

Step-by-step explanation:

The minimum value of the quadratic function f(x)= [tex]x^2[/tex] +9x +20 is achieved at x = -4.5, calculated using the vertex formula -b/2a.

The function f(x)= [tex]x^2[/tex] +9x +20 is a quadratic function. The minimum value of a quadratic function is achieved at the vertex. The x-coordinate of the vertex can be found using the formula -b/2a, where a and b are coefficients of [tex]x^2[/tex] and x respectively in the standard form a[tex]x^2[/tex] + bx + c. Here, a=1 and b=9.

So, by applying the formula, the value of x will be -b/2a = -9/(2*1) = -4.5. Hence, the function achieves its minimum value when x = -4.5.

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Answer: 8.18 cubic centimeters

Step-by-step explanation:

Given : A ball bearing is shaped like a sphere .

The diameter of ball = 2.5 centimeters

Then , the radius of the ball =[tex]\dfrac{2.5}{2}=1.25\text{ cm}[/tex]

We know that the volume of a sphere is given by :-

[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex]

Then , the volume of ball is given by :-

[tex]\text{Volume}=\dfrac{4}{3}(3.14) (1.25)^3\\\\\Rightarrow\ \text{Volume}=8.17708333333\approx8.18\text{ cubic centimeters}[/tex]

Answer:

You should load 25 crates onto a truck.

Step-by-step explanation:

Given:

There are 225 boxes.

Each crate containing 9 boxes.

We need to find the number of crates that containing 225 boxes.

Here we use division to find the answer.

Number of crates  = Total number of boxes / Number of boxes in each crate

= 225/9

= 25

You should load 25 crates onto a truck.

Answer:

The expression (7x − 3) × (4x² − 3x − 6) is equivalent to  28x³ - 33x² - 33x + 18 .

Step-by-step explanation:

As given the expression in the question be as follow .

= (7x − 3) × (4x² − 3x − 6)

= 7x × (4x²- 3x - 6) - 3 × (4x² - 3x - 6)

Now open the bracket

= 7x × 4x² + 7x × -3x + 7x × -6 -3 × 4x² -3 × -3x - 3 × -6

= 28x³ -21x² -42x -12x² + 9x +18

= 28x³ -21x² - 12x² -42x + 9x + 18

= 28x³ - 33x² - 33x + 18

Therefore the expression (7x − 3) × (4x² − 3x − 6) is equivalent to  28x³ - 33x² - 33x + 18 .

Answer:

Third one will be correct.

Step-by-step explanation:

Given  : y =[tex]log_{8}(x)[/tex].

To find : Graph  and its inverse.

Solution : We have given that

y =[tex]log_{8}(x)[/tex].

For x - intercept , y =0.

y = 0

0 =[tex]log_{8}(x)[/tex].

x = 1

(1,0)

Inverse of  y =[tex]log_{8}(x)[/tex].

Interchange the x and y.

x = [tex]log_{8}(y)[/tex].

Solving for y

y = [tex]8^{x}[/tex].

Then For x = 0

y =  [tex]8^{0}[/tex].

y = 1

For inverse ( 0 ,1)

Then we can see from given graphs Third one will be correct.

Therefore, Third one will be correct.

Answer:

Its D on Ed2022

Step-by-step explanation:

To solve the problem we must know about density.

The different weight shows that the solids have different density.

Given to us

We know that weight is the product of mass and acceleration due to gravity, also, mass is the product of density and volume.

[tex]\rm{ weight = mass \times acceleration\ due\ to\ gravity[/tex]

[tex]\rm{ w = m \times g[/tex]

[tex]\rm{ Mass = density \times volume[/tex]

[tex]m = \rho \times v[/tex]

In the three solids given, the acceleration due to gravity will be the same, also, it is already mentioned that the volume of the three materials is the same that is 1 cubic centimeter.

[tex]w = m \times g\\w = (\rho \times v) \times g\\\\w = \rho \times 1\ cm^3 \times 9.81[/tex]

Therefore, the only thing that can vary is the density of the solids. Hence, the different weight shows that the solids have different density, the more is the weight the more is the density of the solid.

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We can see that for every increment, the number gets doubled positively. Since we are looking for the value when the repetition is made infinite, therefore the value at that point would also be infinite. Since infinite is imaginary, therefore the correct answer is:

Does not exist

In Les Miserables, given specific seating arrangements around a circular table with 13 people, there are 16,320 ways to seat them as per the specified conditions.

Step-by-step explanation:

without seeing the chart, I hope I have the columns and labels correct,

 but it looks like 28 students like both diving and boxing.

 there is a total of 65 students

28/65 = 0.4307, which rounds to 0.431

 which is 43.1%

Answer:

36 combos

Step-by-step explanation:

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Final answer:

The number of zeros at the end of 100! is determined by counting the multiples of 5 in the factorization, including higher powers like 25. The result is a total of 24 zeros at the end of 100!.

Explanation:

To determine how many zeros are at the end of the factorial of 100 (100!), we need to know how many times the number 10 can be factored within that number. Since 10 is the product of 2 and 5, we should count the number of 2s and 5s in the prime factorization of 100!. The number of zeros at the end of 100! will equal the smaller of these two counts. However, because there are more 2s than 5s in the prime factorization, we only need to count the number of 5s as every 5 will have a corresponding 2 to form a 10.

For 100!, we count how many multiples of 5 there are within that range, including the multiples of 25 (since 25 includes an extra 5), and possibly higher powers of 5 if applicable. For example, 5 is counted once, 25 is counted twice (as 25 = 5×5), and so on.

Therefore, the number of zeros at the end of 100! equals the sum of the integer division of 100 by 5, plus the integer division of 100 by 25, and so on for any higher powers of 5. However, since 100 < 125, we do not need to consider any higher powers than 25.

We calculate:

100 ÷ 5 = 20,

100 ÷ 25 = 4.

Adding these together (20 + 4), we find that there are 24 zeros at the end of 100!.

Answer:      V(t) = 3700(0.75)t; decay

Step-by-step explanation:

Answer:

[tex]\overline {ab}\cong \overline {bc}[/tex]

Step-by-step explanation:

We are asked to write an equation for the given statement.

Statement:

Segment 'ab' is congruent to segment 'bc'.

We know that segment is written by a bar on name of segment as: [tex]\overline {ab}[/tex] and [tex]\overline {bc}[/tex].

Congruent sign is [tex]\cong[/tex]

Therefore, our required equation would be: [tex]\overline {ab}\cong \overline {bc}[/tex]

Yes, the centroid of a triangle is equidistant from the three vertices.

Yes, the centroid of a triangle is indeed equidistant from the three vertices.

The centroid of a triangle is the point where the three medians of the triangle intersect. A median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.

Since the medians of a triangle intersect at the centroid, the distances from the centroid to each vertex along the medians are equal. This property can be proven using properties of similar triangles.