The price (in dollars) of a stock tracked from noon to three on a given day is shown by the function f(t) = 0.1(t - 2)3 + 6 where t is in hours. Find the rate at which the stock price was changing at one o’ clock.

Answer:

16. D

17. 5^-1 · 5^-1 and 25^-1

8^0 · 8^3 and 8^3

Step-by-step explanation:

When you multiply two same numbers with exponents, just think of it as adding up exponents.

When you divide two same numbers with exponents, just think of it as subtracting exponents.

If a parenthesis has an exponent outside, then every exponent inside the parenthesis will be multiplied by that outside parenthesis.

(5^-1)^-2 · 5^3 ÷ 5^7

5^2 · 5^3 ÷ 5^7

5^5 ÷ 5^7

5^-2

When exponents are negative, you have to flip them or put them on the other side

5^-2 = 1/5^2 = 1/25

Let's try to find the equivalent pairs

6^7 ÷ 6^-2 = 6^5

6^9 = 6^5 Not equivalent

(6^3)^0 = 6

6^0 = 1 (Any number with a zero exponent is always 1)

1 = 6 Not equivalent

5^-1 · 5^-1 = 25^-1

5^-2 = 25^-1

Flip em

1/5^2 = 1/25

1/25 = 1/25 Equivalent

8^0 · 8^3 = 8^3

8^3 = 8^3 Equivalent

4^-3 ÷ 4^2 = 4^5

4^-5 = 4^5 Not equivalent

Answer:

The ratio of their radius is \(2:3\)

Step-by-step explanation:

Volume of cylinder is \(\pi r^2h\), where r is radius and h is height

We have

The heights of two cylinders are in the ratio of \(5:3\)

\(\frac{h_1}{h_2} =\frac{5}{3}\)

The volume are in the ratio \(20:27\)

\(\frac{V_1}{V_2} =\frac{20}{27}\\\\\frac{\pi r_1^2h_1}{\pi r_2^2h_2} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2}\times \frac{3}{5} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2} =\frac{4}{9}\\\\\frac{ r_1}{ r_2} =\frac{2}{3}\)

The ratio of their radius is \(2:3\)

Answer:

2 : 3

Step-by-step explanation:

Let,

Radius of cylinder 1 = R

Radius of cylinder 2 = r

Now,

We know that

Volume of cylinder = πr²h

=> πR²h/πr²h' = 20/27

=> R² × 5/r² × 3 = 20/27

=> R²/r² = 20/27 × 3/5

=> R²/r² = 4/9

=> R/r = √(4/9)

=> R/r = 2/3

=> R : r = 2 : 3

Answer: subtraction

Step-by-step explanation:

i did the assignment.

Answer:

48

Step-by-step explanation:

12*4=48

The correct answer is A. 0. As diversification increases, the total variance of a portfolio approaches zero.

As diversification increases, the total variance of a portfolio approaches 0, which means that the portfolio becomes less risky. This occurs because diversification spreads the risk across multiple assets, reducing the impact of any single asset on the portfolio's overall performance. The reduction in risk is due to the fact that some assets in the portfolio may perform well while others may not, but the negative performance of some assets is compensated by the positive performance of others, leading to a lower overall portfolio variance. Therefore, option A is the correct answer.

Diversification is an investment strategy that involves spreading an investor's portfolio across different assets, such as stocks, bonds, real estate, and commodities, with the aim of reducing overall risk.

Learn more about  total variance here brainly.com/question/29615374

#SPJ4

Answer:

312

Step-by-step explanation:

24×13=312

Hope that helps

Answer:

r =

Step-by-step explanation:

r=30√12,−30√12

Answer:

r=2/5

Step-by-step explanation:

The probability that this team will win both of their next two games is 16%

The probability of Allie's hockey team winning both of their next two games can be calculated by multiplying the probability of winning each individual game.

Since the team has a 40% chance of winning each game, the probability of winning both games is:

0.40 * 0.40 = 0.16

Therefore, the probability of Allie's team winning both of their next two games is 0.16, or 16%.

To express this answer as a percent, simply multiply by 100:

0.16 * 100 = 16%

So the final answer is 16%.

To know more about probability click on below link:

https://brainly.com/question/30034780#

#SPJ11

E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.

To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.

In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).

Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.

learn more about exponential distribution here: brainly.com/question/16758463

#SPJ11

1 pound (lb) weight is equal to 453.59 grams (g).

To convert pounds to grams, you can use this conversion factor.For example, to convert 10 pounds to grams you would multiply 10 by 453.59, which would give you 4535.9 grams.

It's important to note that the pound and gram are both units of measurement for weight or mass. The pound is commonly used in the United States, while the gram is used in the International System of Units (SI). When working with measurements in different units,

it's important to know the correct conversion factors to ensure accuracy. These conversion factors can be memorized or looked up in a conversion table or calculator.

It's also worth noting that for small weight measurements, you can use the kilogram (kg) instead of the gram, since 1 kg = 1000 g.

To know more about conversion factor on the link below:

brainly.com/question/30166433#

#SPJ11

Answer: (-0.5, 4)

Step-by-step explanation:

Midpoint formula: \((\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\)

(x1, x2)=(2, -3)

(y1, y2)=(2, 6)

-----------------------------------------------

 \((\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\)

=\((\frac{2-3}{2} ,\frac{2+6}{2} )\)

=\((\frac{-1}{2} ,\frac{8}{2} )\)

=\((-0.5, 4)\)

Hope this helps!! :)

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

Answer:

\(M=(-\frac{1}{2},4)\)

Step-by-step explanation:

The midpoint formula is given by:

\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

Let (2,2) be x₁ and y₁ and let (-3,6) be x₂ and y₂. Therefore:

\(M=(\frac{2+-3}{2},\frac{2+6}{2})\)

Simplify:

\(M=(-\frac{1}{2},\frac{8}{2})\\M=(-\frac{1}{2},4)\)

Answer:

(y-6)/(4+r)=x

Step-by-step explanation:

y=4x+rx+6

y-6=4x+rx

y-6=x(4+r)

divide both sides by (4+r)

(y-6)/(4+r)=x

Step-by-step explanation:

g(x) = 2x - 9

g(4) = 2* 4 - 9

= 8 - 9

= - 1

g(1) = 2 * 1 - 9

= 2 - 9

= - 7

Now

g(4) - g(1)

= - 1 - ( -7)

= - 1 + 7

= 6

Hope it will help :)

Step-by-step explanation:

\(\tt{u-u+2u+3u-2u=15 }\) ⠀

\(\tt{6u-3u=15 }\) ⠀

\(\tt{3u=15 }\) ⠀

\(\tt{ u=\dfrac{15}{3} }\) ⠀

\(\tt{ u=\dfrac{\cancel{15}}{\cancel{3}} }\) ⠀

\(\tt{u=5 }\) ⠀

Answer:

Step-by-step explanation:

It is true that the A shift is a type of permutation where elements in a sequence or set are moved to the right or left by a certain number of positions.

For example, shifting the sequence (1,2,3,4,5) to the right by 2 positions would result in the sequence (4,5,1,2,3). This can be represented mathematically as (1,2,3,4,5) → (4,5,1,2,3), which is a permutation of the original sequence. Shifts can be useful in various applications, such as cryptography or data compression, where rearranging elements in a sequence can improve efficiency or security.

True. A shift is a specific type of permutation. In general, a permutation refers to the arrangement of objects in a particular order. A shift, also known as a cyclic permutation, involves moving elements of a set in a fixed direction, such that the order is maintained, but the elements change positions. In a shift, the first element moves to the last position, while all other elements move one position forward. This maintains the relative order of the elements and results in a new arrangement. Therefore, a shift is a type of permutation, as it represents an altered ordering of the elements in a set.

Visit here to learn more about permutation  :  https://brainly.com/question/30557698
#SPJ11

Answer:

3.14

Step-by-step explanation:

Formula: \(b= \sqrt{c^2-a^2}\)

b= \(\sqrt{2.1^2-1.4^2}\)

b = \(\sqrt{2.45}\)

b = 1.57

To get x you need to double b which is

3.14

Answer:

along the x it moved 3 and along the y it went 4

Answer:

2\(\pi\)rh

Step-by-step explanation:

A little easier way to see:

2 * \(\pi\) * r * h

Answer:

x = 1.5

Step-by-step explanation:

The perimeter of a rectangle is calculated by adding widht and height and multiply it by 2

The lenght is 2x + 3 and the width is 3x + 7

(2x + 3 + 3x + 7) *2 = 10x + 20 this is the perimeter which is given as 35 units

10x + 20 = 35 subtract 20 from both sides

10x = 15 divide both sides by 10

x = 1.5

Answer:

To calculate the interior angles of a triangle, we need to understand some basic principles of geometry.

1. Principle 1: The sum of the interior angles of a triangle is always 180°. This is a fundamental rule in Euclidean geometry, which is the study of flat space. It's based on the definition of a triangle as a three-sided polygon.

2. Principle 2: Each angle in a triangle is measured in degrees (°). Degrees are a unit of measurement for angles, just like meters or feet are units of measurement for distance. There are 360° in a full circle, so an angle that measures 180° is half of a full circle.

Now, let's apply these principles to calculate the third angle in a triangle with angles measuring 30° and 60°.

3. Step 1: Add the two known angles together. If one angle measures 30° and another measures 60°, their sum is 30° + 60° = 90°.

4. Step 2: Subtract the sum from 180° to find the third angle. Since the sum of all three angles must be 180°, we can find the third angle by subtracting the sum of the known angles from 180°. So, 180° - 90° = 90°.

Therefore, the third angle in a triangle with angles measuring 30° and 60° is 90°.

Answer:

<4 step by step explanation

Answer:

13.5 pounds.

Step-by-step explanation:

9.18 divided by .68

= 13.5

Answer:

13.5

$0.68 times 13.5 = $9.18

Answer:

Step-by-step explanation:

Answer:

1.09 seconds

Step-by-step explanation:

I need the image that I am going to attach to solve the exercise.

We have the following information:

Confetti height from the ground is 25 feet

Person's height is 6 feet

So, the distance that the confetti would fall would be the subtraction of these heights, that is:

25-6 = 19 feet

d = 19 feet

We use the 5th equation of the attached image:

t = d ^ (1/2) / 4

replacing:

t = 19 ^ (1/2) / 4

t = 1.09 seconds

Answer:

C. the number f books read and the size of someone's vocabulary

Step-by-step explanation:

causation is the action of causing something, thats the only one that makes sense lol

Answer:

All of them work

Step-by-step explanation:

Part D states that any number works so they all work. If you don't believe me there's edmentums sample answer.

The algebraic expression of the part A is 6+7x. And the verbal expression for 3*(n+8) is "the triple of the sum between the numbers n and 8".

A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=2x+7.

First, you should choose a variable for unknow number. Here, the variable will be x. Then, 7 times a number can be represented for 7x.

The word more will be represented for the add symbol (+). Thus,

the algebraic expression is 6+7x.

The expression 3*(n+8) can be represented for the sentence:

The triple of the sum between the numbers n and 8.

Learn more about the algebraic expression here:

https://brainly.com/question/2164351

#SPJ1

The values of the variables and numbers in radical form are presented as follows;

43a) x > -5

40a) a > 0

44b) x < 0

47e) x > 0

43b) x = The set of all real numbers

44a) The set of all numbers

45 a) x = 14

45 b) x = 0

45 c) x = -1

45 d) x = -4

45 e) x = 1

42 d)x = 5/196

9 e) x = 4

9 f) x = 8

9 a) √(0.6/36) ≈ 0.13

9 h) √((4 - 10)/(0.01)) = i·10·√6

A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.

43 a) \(\sqrt{x + 5}\)

x + 5 > 0

Therefore, x > -5

40a) ∛a

a > 0

44b) √(-5·x)³

-5·x < 0

x < 0

47e) √(13 - (13 - 2·x))

(13 - (13 - 2·x)) > 0

13 > (13 - 2·x)

0 > -2·x

x > 0

43b) √|x| + 1

x = All real numbers

44 a) √(-2·x)²

√(-2·x)² = -2·x

x = Set of all numbers

45 a) √(x - 5) = 3

(x - 5) = 3² = 9

x = 9 + 5 = 14

45b) √(2·x + 4) = 2

2·x + 4 = 2²

2·x = 2² - 4 = 0

x = 0/2 = 0

45c) √(x·(x + 1)) = 0

(x·(x + 1)) = 0

(x + 1) = 0

x = -1

45 d) √(x + 5) = -1

(x + 5) = (-1)²

x + 5 = 1

x + 5 = 1

x = 1 - 5 = -4

x = -4

45e) √x + x² = 0

√x = -x²

(√x)² = (-x²)² = x⁴

x  = x⁴

1 = x⁴ ÷ x = x³

x = ∛1 = 1

x = 1

42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)

\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)

\(\dfrac{5}{x} }=14^2=196\)

\(x = \dfrac{5}{196}\)

9e) \(\sqrt{\dfrac{4}{x} } = 1\)

\(\dfrac{4}{x} } = 1^2\)

x × 1² = 4

x = 4

19f) ∛x - 2 = 0

∛x = 2

x = 2³ = 8

9a) \(\sqrt{\dfrac{0.6}{36} }\)

\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)

9h) \(\sqrt{\dfrac{4-10}{0.01} }\)

\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6

Learn more about the square root of numbers here:

https://brainly.com/question/428672

#SPJ1

All the statements are true about the triangle except

1. a diagonal line extends from angle 8 to form angle.

According to the statement

There is a triangle has angles 6, 7, 8 and there are also some statements are given that matched with the triangle.

But the statement

1. a diagonal line extends from angle 8 to form angle.

is not true because it is not possible to extend a diagonal line from angle 8.

So, All the statements are true about the triangle except

1. a diagonal line extends from angle 8 to form angle.

Learn more about ANGLES here

https://brainly.com/question/16281260

#SPJ4