Consider the following.f(x)=6x Vx−x^2. ​Use technology to estimate the absolute maximum and minimum values. (Round your answers to two decimal places.) absolute maximum absolute minimum Use calculus to find the exact maximum and minimum values. absolute maximum absolute minimum

Answer:

Only the second one(B)

Step-by-step explanation:

Only the second one had a right angle of 90 degrees.

Below are the attachments of the triangle drawings.

Hope this helps!

Answer:

2, 6, and 7.

Step-by-step explanation:

In a right triangle, the hypotenuse (longest side of the triangle) squared is equal to the sum of the other sides squared.

So for the second triangle, add 36 squared to 15 squared. The result is 1521. Compare that to the hypotenuse (39) squared. The second triangle is a right triangle because the hypotenuse squared is also 1521. I did this with each triangle and the 2nd, 6th, and 7th were right triangles.

Answer:

8 units

Step-by-step explanation:

The line segment is 8 units long just by looking at the graph. You can also calculate this by looking at the y values and doing 5--3 or 5+3 which equals 8.

Answer:

which line!

x or y axis?

first image is over the x axis

second is over the y

Step-by-step explanation:

HOPE THIS HELPS, BRAINLIEAST PLZZ

We can write the arithmetic sequence as -

{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.

Given is to write a function that represents the arithmetic sequence.

       {a, a + d, a + 2d, a + 3d, .....}.

       {2, 4, 6, 8, 10, 12, ....}.

Therefore, we can write the arithmetic sequence as -

{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.

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The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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Answer:

0.125

Step-by-step explanation:

2 * 0.125 = 0.25 (or 1/4)

Answer:

0.125

Step-by-step explanation:

I think not really good at it

The rules of differentiation to determine the value of the variable f'(6), which corresponds to the function f(x) = (1/4)g(x) + (1/5)h(x). As we know that g'(6) equals 4 and h'(6) equals 12, the value of f'(6) for the function that was given is equal to 3.4.

To begin, we will use the sum rule of differentiation, which states that the derivative of the sum of two functions is equal to the sum of their derivatives. We will then proceed to use the sum rule of differentiation. By applying the concept of differentiation to the expression f(x) = (1/4)g(x) + (1/5)h(x), we are able to determine that f'(x) = (1/4)g'(x) + (1/5)h'(x).

When we plug in the known values of g'(6) being equal to 4 and h'(6) being equal to 12, we get the expression f'(x) which is equal to (1/4)(4) plus (1/5)(12). After simplifying this expression, we get f'(x) equal to 1 plus (12/5) which is equal to 1 plus 2.4 which is equal to 3.4.

In order to find f'(6), we finally substitute x = 6 into f'(x), which gives us the answer of 3.4 for f'(6).

As a result, the value of f'(6) for the function that was given is equal to 3.4.

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Answer:

Step-by-step explanation:

Remark

By manipulating parts of right angle triangles, you get 15/x = x/6

Solution

x^2 = 90

x = sqrt(90)

x = sqrt(3*3 * 2 * 5)

x = 3*sqrt(10)

Answer:

The vertical velocity of the ball when released = 10.81 m/s

The vertical velocity of the ball in the basket = 8.81 m/s

Step-by-step explanation:

The given parameters are;

The height of the basket = 10 feet

The horizontal location of the shooter from the basket = 20 feet

The height from which the shooter releases the ball = 8 feet

The horizontal velocity of the ball = 10 ft/s

Therefore, we have;

Time, t = Horizontal distance/(Horizontal velocity)

t = 20/10 = 2 seconds

The vertical velocity is given as follows;

s = u·t - 1/2·g·t²

Where;

u = The vertical velocity

s = The height above the initial height from which the ball is released

s = y - y₀

Where;

y = The final height of the ball in the calculation = The height of the basket = 10 foot

y₀ = The initial height from which the ball is released = 8 feet

∴ s = 10 - 8 = 2 feet

g = The acceleration due to gravity = 9.81 m/s²

Substituting gives;

2 = u × 2 - 1/2 × 9.81× 2²

u = (2 + 1/2 × 9.81× 2²)/2 = 10.81 m/s

The vertical velocity of the ball when released = 10.81 m/s.

The vertical velocity of the ball in the basket is given by the following relation;

v² = u² - 2·g·s

v² = 10.81² - 2×9.81×2 = 77.6161

v = √(77.6161) = 8.81 m/s

The vertical velocity of the ball in the basket = 8.81 m/s

(a) The cost of one notebook is $2.75 and one pen is $1.10.

(b) He can purchase 3 notebook, if he has $22.

In the given question, the cost of 3 notebooks and 2 pens is $10.45. The cost of 4 notebooks and 6 pens is $17.60.

(a) We have to find the cost of each item.

Let the mean price of notebook = x

Let the mean price of pen = y

3x + 2y = 10.45 ………(i)

4x + 6y = 17.60 ………(ii)

Multiply Equations (i) by 3

9x + 6y = 31.35...............(iii)

Subtract equation (iii) and (ii)

5x = 13.75

x= 2.75

Substitute x value in equation (i) to get the value of y

3(2.75) + 2y = 10.45

2y = 2.20

y = 1.10

b) We have to find how many notebooks he can purchase if he has $22.

Miles needs to purchase some new school supplies.

For each notebook he buys he will buy 3 pens.

Let us consider, m to be mean number of notebooks.

2.75m + 1.10 (3m) = 22

For example, if he buys 2 notebooks, he buys 3m = 6 pens.

2.75m + 3.30m = 22

6.05m = 22

m = 3.64

He must buy an integer number of notebooks that is less than or equal to 3.

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Answer:

-4r

Step-by-step explanation:

r + -5r

Factor out r

r( 1-5)

r(-4)

-4r

Answer:

\(7x^{2}-4x\)

Step-by-step explanation:

Area of a rectangle is expressed as Length * Width

Given the length/height = x

width = 7x-4

Area of the rectangle = \(x(7x-4)\)

On opening the bracket;

Area of the rectangle = \(7x^{2}-4x\)

If a section of a highway is constructed with a 23% grade, the angle that the highway will make with a horizontal line will be: 13°.

Using the SOH CAH TOA formula, the angle that the highway will make with the horizontal line can be gotten by finding the tangent which is the

vertical/horizontal

Horizontal = 100 ft

Angle of inclination = 0.23

For the 23% grade, we will have

tan⁻1 of 0.23 = 12.9527°

= 13.0°

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Answer:None

Step-by-step explanation:

You can write a statement of proportionality without any additional information:

weight = k × length for some constant k

If you need to know the specific weight of a specific length, then you need to know the constant of proportionality (the value of k).

Answer:

\(Solution\\diameter(d)=14cm\\Now, \\Circumference=\pi d\\ =3.14*14cm\\ =43.96cm\)

Step-by-step explanation:

Hope it will help you a lot.

Answer:

Circumference = 43.98

Step-by-step explanation:

Circumference = 2 x pi x r

r= diameter/2 = 14cm/2= 7

Circumference = 2 x 3.14 x 7

Circumference = 43.98cm

Answer:

Hi there!

Your answer is:

1,890 calories are in 7 scoops!

Step-by-step explanation:

810cals per 3 scoops

/3 to determine calories per 1 scoop

270 cals per 1 scoop

×7 to determine calories per 7 scoops

1890calories

I hope this makes sense!

Answer:

1890

Step-by-step explanation:

810/3 to get the number per scoop. Multiply it by 7 to get the total number of calories

The difference between 19.79 and 9.08 is found by subtracting the two numbers.

Hence,

The estimate of the difference is done in the following manner.

19.79 is close to 20 and 9.08 is close to 9; therefore, the easier subtraction we have to do is 20 - 9 = 11.

Answer:

32 guitar lessons

Step-by-step explanation:

3 piano lessons : 2 guitar lessons  =  48 piano lessons : x guitar lessons

3/2 = 48/x                  

(3)(x) = (48)(2)       Cross multiply

 3x  = 96

  x = 32                                

30 children lined up to jump rope 9 children joined them so total number of children in the line 30+9=39 4 children left to get a drink of water. Therefore, the total number of children left in the line was 39-4=35 .

Initially, there were 30 children lined up to jump rope. Later, 9 children joined them, making the total number of children in the line 30+9=39. However, after some time, 4 children left to get a drink of water. Therefore, the total number of children left in the line was 39-4=35.
To understand the solution, we can use basic arithmetic operations. First, we add the number of children who joined the line to the initial number of children to find the total number of children in the line, which is 30+9=39. Then, we subtract the number of children who left the line from the total number of children in the line to find the number of children left in the line, which is 39-4=35.
In conclusion, after 4 children left to get a drink of water, there were 35 children left in the line. It is important to pay attention to the changes in the number of children and use basic arithmetic operations to find the solution.
Considering the given terms, initially there were 30 children in the line. 9 children joined them, increasing the number to 39. Then, 4 children left to get a drink of water, so there were 35 children left in the line.

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Answer:

x + y = 0, so y = -x

3x - 2y = 10, so 3x - 2(-x) = 10

5x = 10

x = 2, so y = -2

The ratio of c:d:e is 1:3:2.

To find the ratio, you can multiply the first ratio by the second ratio: 1 * 2 = 2 and 3 * 3 = 9, so the ratio becomes 2:9:6, which can be simplified to 1:3:2.

A ratio is a comparison between two values. To calculate a ratio, divide the first value by the second value. For example, if you have three apples and seven bananas, the ratio of apples to bananas would be 3/7.

You can also simplify a ratio by dividing both values by their greatest common divisor. For example, if the ratio of apples to bananas is 6/14, you could simplify it to 3/7.

It's also possible to express a ratio as a fraction, decimal, or percentage. To convert a ratio to a fraction, simply divide the two values. To convert a ratio to a decimal, divide the numerator by the denominator. To convert a ratio to a percentage, multiply the ratio by 100.

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Answer:

PIC 1: Option 2. this relation is a function

PIC 2. Option 1. this relation is not a function

Step-by-step explanation:

To be a function, the domain (x value) can only have one range (y value). But one range can have multiple domain

PIC 1

Function {(-2, -4) (-1, -4) (3, -4) (6, -4)}

This relation is a function

EXPLANATION: each domain only have one range

PIC 2

Function {(-4, -2) (-4, -1) (-4, 3) (-4, 6)}

This relation is not a function

EXPLANATION: each domain has multiple range.

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

An array showing the factor pair of 3 and 4 would have 3 rows of 4 objects is true.

What is factor pair?

A factor pair in mathematics is a group of two factors that, when multiplied together, yield a specific result. In other words, we multiply a pair of integers to produce a result.

Here, we have

Given number = 3,4

When 3 and 4 are multiplied, we have:

Product = 3×4

Product = 12

12 can be represented in the following ways

1 × 12 = 12

3 × 4 = 12

6 × 2 = 12

Hence, the factor pair of 3 and 4  have 3 rows of 4 objects.

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The horizontal distance from the tower to the fire is 7 feet

The term "angle of depression" describes the angle created by a horizontal line and the line of sight from the observer's eye to a location below their horizontal line of sight. It is often calculated by descending from the horizontal line.

The angle of depression is a term that is frequently used in discussions of observations or measurements involving objects that are below the observer's location in geometry and trigonometry.

We know that;

Tan 3 = x/140

x = 140 Tan 3

x = 7 feet

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Answer: justice

Step-by-step explanation:

The ethical principle of justice is the principle which implies that everyone should be treated equally and given fair and same treatment.

In this case, the principle of justice is violated because out of the sixty people who volunteered to test the software, only twenty randomly chosen students used the software while the improvement in the ability of all the sixty students were then compared.

Answer:

Step-by-step explanation:

p = kd/u

p varies directly with d, p=md

p varies inversely with u, p=n/u

put them together

p=kd/u

as d goes up, p goes up.  as u goes up, p goes down

Answer:

  86 ft

Step-by-step explanation:

You want the straight line distance from a location 50 ft from a hotel to a window that has an angle of elevation of 54.5°.

The cosine relation between sides and angles in a right triangle is ...

  Cos = Adjacent/Hypotenuse

The 50 ft distance is adjacent to the angle, and we want to find the hypotenuse. Using this equation, we can solve for the length we want:

  Hypotenuse = Adjacent/Cos

Using the numbers in the problem statement, we find the straight-line distance to be ...

  LW = LH/cos(54.5°) = (50 ft)/0.580703 ≈ 86 ft

The distance between Penny and Lisa is about 86 feet.

__

Additional comment

We don't know what drawing tools you have available. The attached diagram was drawn by locating the window at 50tan(54.5°) up from the base of the hotel. The tool provided the length of LW as 86.1.

We could have use a rotation tool to create the angle of 54.5°, or a line graphing tool to draw the line through (50, 0) with slope tan(-54.5°). Then an intersection tool could have located the window at the point of intersection of that line and the y-axis.

The calculation we did above is about the easiest for determining the distance mathematically (not having the tool measure it).

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The problems realted to doubling growth rate is solved using an exponential model. If it takes 80 minutes to fill the container, then it will take 79 minutes to fill one half of the container. The dealing sequence is a,a²,a⁴, a¹⁶,...... where a is intial amount.

An exponential model, is used here. The reason for this is that the growth rate is very high which an exponential model can accurately replicate. We have a yeast population is doubling in the container every minute. That is if it's population in container is half at present then the container become full filled in next minute. This also means is that if we know the quantity after a certain number of minutes, the quantity a minute earlier must have been half of that. Let the intial amount be 'x'. Total time taken by yeast to fully fill up the container = 80 minutes

We have to determine the time it take to fill one half of the container. Now, the container gets full in 80 minutes. Half of this quantity must have been meant that the container was half full. Thus, the container was half full 79 minutes after the yeast was put in it. We are dealing with a sequence something like that a, a², a⁴,___.

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Answer:

-3x^2+15x

Step-by-step explanation:

3x(5-x)

3x(-x+5)

-3x^2+15x