The radius of a sphere is increasing at a rate of 3 inches per minute. Find the rate of change of the volume of the sphere when the radius is 7 inches.

Answer:

7 schools have fewer than 50 classrooms.

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

I believe it’s the last one.

Step-by-step explanation:

Answer:

353 tickets.

Step-by-step explanation:

Let's say that there are s student tickets and n nonstudent tickets.

s + n = 669

5s + 8n = 4293

Multiply -5 by the entire first equation to get...

-5s - 5n = -3345

Combine the two equations.

5s - 5s + 8n - 5n = 4293 - 3345

3n = 948

n = 316

Now, put the number of nonstudent tickets sold back into the first equation.

s + 316 = 669

s = 353 tickets.

Hope this helps!

Answer:

the answer is A

Step-by-step explanation:

so the numbers are just a fill in but yes the answer is A

The domain: -5 < x ≤ 1 and the range: -3 ≤ y ≤ 1 is a function. b)

No, the vertical line crosses the graph in more than one place, therefore, the relation shown is a function.

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The domain of a relation is the set of values of the independent variable for a defined function.

The domain is the horizontal extent of the graph.

The range of a relation is the set of values of the dependent variable for a defined function.

The range is the vertical extent of the graph.

The vertical line can intersect the graph in at most one place.

a)

This graph extends from x > -5 to x = 1.

The domain

 -5 < x ≤ 1   ------   (-5, 1] in interval notation

This graph extends from y = -3 to y = 1.

The left side of the graph does not include the point (-5, 1), but the right side includes the point (1, 1).

y = 1 is one of the output values of the relation.

The range

 -3 ≤ y ≤ 1 . . . . . . . . [-3, 1] in interval notation

b)

No, the vertical line crosses the graph in more than one place, therefore, the relation shown is a function.

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Answer:

D

Step-by-step explanation:

You can rewrite the equation into slope intercept form and you get Y=10-5x/2 (The whole problem is being divided by 2).

You can leave -5/2 as it is because it's a lot easier to plot the point using Rise over Run or Rise/Run.

Hope this helps! :)

Answer:

SImilar triangles are: ABC, DBG, DEF, and BEH.

Step-by-step explanation:

There are clealy four well defined triangles in the image:

ABC, DBG, DEF, and BEH.

Given the parallelism of the mentioned lines, one can conclude that when those lines parallel to different sides of the triangle ABC for example (to sides AC and CB), intersect, they will also intersect giving similar angles . That is: angle ACB  must equal angle DGB, angle DFE, and angle BHE. Apart from that, the angles around the bases of all four triangles must be equal since they come from parallel lines. That is:

(1) angles BAC, BDG, BDF, and EBH must be equal to each other, and

2) angles ABC, DBG, DEF, and BEH must be equal to each other.

Therefore we have four triangles with congruent angles, which make them similar triangles.

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

Answer:

500 divided by 3 maybe...

Step-by-step explanation:

the 362 I think is the number of the table and its $3 each and you have to spend $500 I think, the wording isn't as great but that's what I think.

The pairs of complementary angles are:

1) 36° and 54°

4) 23° and 67°

5) 5° and 85°

Two angles A and B are complementary if the sum of the measures is equal to 90°.

For the given options, the 3 correct ones are:

1) 36° and 54°

The sum gives:

36° + 54° = 90°

So these are complementary.

4) 23° + 67° = 90°

These are also complementary.

5) 5° + 85° = 90°

These are also complementary.

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Answer and explanation:

Find attached

Answer:

Corresponding angles are equal

therefore y = 134°

Angles on a straight line add up to 180°

x = 180° - y

x = 180° - 134°

x = 46°

and please I need brainliest

Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Answer:$2050.

Step-by-step explanation:

To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:

y = 50 + 20x

y = 50 + 20(100)

y = 50 + 2000

y = 2050

Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.

If  we want to choose 6 objects, without replacement, from 8 distinct objects then total number of ways are 20160 (8x7x6x5x4x3).We can use the concept of permutation to find number of ways.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply put, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Combination and permutation are part of the accounting discipline's mathematical branch. Combinations are used in business decision-making to choose from among the available objects. In contrast, the arrangement of such objects that are chosen through combinations uses permutations.

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Answer:

What's HJ? Never heard of it

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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A graph of the linear equation -3x + 5y = 7 in slope-intercept form is shown in the image attached below.

In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate respectively.

Next, we would rearrange and simplify the given given linear equation in slope-intercept form in order to enable us plot it on a graph:

-3x + 5y = 7

5y = 3x + 7

y = 3x/5 + 7/5

Lastly, we would use an online graphing calculator to plot the given function as shown in the graph attached below.

In conclusion, the slope of this linear equation is equal to 3/5 and it does not represent a proportional relationship.

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Answer:

Step-by-step explanation:

Given:

Find B + C - A:

A = \(3x² - 7x + 8\)

B = \(x² + 8x - 3\)

C = \(-5x²-3x + 2\)

Lets find B + C - A :

→ \(B + C - A\)

→ \(x² + 8x - 3+ (- 5x²-3x + 2)-(3x² - 7x + 8)\)

→ \(x² + 8x - 3-5x² - 3x + 2-3x² + 7x - 8\)

→\( (1-5-3)x² + (8 -3 + 7)x+ (-3 + 2 - 8)\)

→ \(- 7x² + 12x - 9\)

Answer:

Step-by-step explanation:

The simplest line you can draw with a slope of 4 is y = 4x. Use The equation to make a table

y = 4x

x    1     3     5

y    4    12    20

So I just multiplied 4 by  3 and 5 red graph below shows the three points on the line. (1,4),(3,12),(5,20)

What about a more complex line.

y = 4x + 5

x 1  3  5

y 9 17 25

The green line show (1,9),(3,17),(5,25)

There are 116,280 different ways that the club can select its officers

Here, we have 20 members of which we want to select 4 officers

From the question, without any issue, we are selecting 4 from 20

The condition here is that nobody can hold more than a single position

For the office of the president;

The 20 members can vie for it, so we have 20 choices to select from

For the office of the vice president;

We have 19 members left (1 is already selected as president); so we have 19 choices to select from

For the office of the treasurer;

We have only 18 choices left (2 positions are filled already)

For the position of the secretary;

We have 17 choices to pick from (3 positions are filled already)

The total number of ways we can make selection is thus;

Answer:

280 DB

Step-by-step explanation:

If the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

Sound level is the intensity to measure the sound. Decibels are used to quantify sound levels.

The sound level of a jet plane is expressed according to the expression given:

β = 10log(I/I0)

Given the following parameters

β = 140dB

I0 = 10^-12 W/m²

For required Intensity "I" Substitute:-

140 =10log(I/10^-12)

14 = log(I/10^-12)

10^14 = I/10^-12

I = 10^14 * 10^-12

I = 10^2

I = 100dB

Hence if  the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

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Answer:

6.96 is the area of this triangle! So, option A is correct.

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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Answer:

x + 5+x+7+Х=42units

3x=42-12

x=30/3

x=10