Times are tough for Peter the Penguin and his "Hug a Penguin" business has been on the decline. Last year Peter the Penguin made $570 dollars from selling hugs. If he experienced a 20% decrease in sales how much did he make this year?

A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

Function: A(t) = (t+1)/(t-1)For the given function A(t), the following values are to be calculated: A(8), A(-5), A(3/1), and A(-71/1)A(8):We need to substitute t=8 in the function. A(8) = (8+1)/(8-1) = 9/7Therefore, A(8) = 9/7A(-5):We need to substitute t=-5 in the function. A(-5) = (-5+1)/(-5-1) = -1/3Therefore, A(-5) = -1/3A(3/1):We need to substitute t=3/1 in the function. A(3/1) = (3/1+1)/(3/1-1) = (4)/(2/1) = 4*1/2 = 2Therefore, A(3/1) = 2A(-71/1):We need to substitute t=-71/1 in the function. A(-71/1) = (-71/1+1)/(-71/1-1) = (-70/1)/(-72/1) = (-5/36)Therefore, A(-71/1) = -5/36Therefore, the respective answers for the given values of the function A(t) are as follows: A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

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Answer:

Janet collected 3.48 bags of cans

Step-by-step explanation:

The answer is 3.48 because 0.87 multiplied by 4 is 3.48

Answer:

.384

hope this helps!

Answer:

Step-by-step explanation:

first of all, we need to divide $45 and the 3, we get 15, so shes making 15 dollars an hour. do 15 x 5=75. so the answer is 75

Answer:

The answer would be A. (3,0)

The features of the linear function in this problem are given as follows:

a) Slope of -3.

b) The end behavior is described as follows:

c) The x-intercept is given as follows: x = -6.

The linear function in the context of this problem is defined as follows:

y = -3(x + 6).

The slope is the constant that multiplies x, hence it is given as follows:

-3.

Considering the negative slope of the function, it has a decreasing behavior, hence the end behavior is given as follows:

The x-intercept is given by the value of x when x = 0, hence:

-3(x + 6) = 0

-3x - 18 = 0

3x = -18

x = -6.

The graph is then given by the image presented at the end of the answer.

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Answer:

In a day, 5.33/9 (0.59) of the playground will be done.

Step-by-step explanation:

Answer:

m = 5/4

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (0, -3) (4, 2)

We see the y increase by 5 and the x increase by 4, so the slope is

m = 5/4

Answer:

x = -1.434, x = -0.232

Step-by-step explanation:

We can see here that the solutions to the triangles are:

1. 62.2°.

2. 35.9°

3. 61.9°

4. 53.1°

We can see here that using trigonometric ratio formula, we find the values of x.

We see the following:

1. Cos x = 7/15 = 0.4666

x = \(cos^{-1}\) 0.4666 = 62.2°.

2. Sin x = 27/46 = 0.5869

x° = \(sin^{-1}\)  0.5869  = 35.9°

3. Sin x = 30/34 = 0.8823

x° = \(sin^{-1}\) 0.8823 = 61.9°

4. Tan x = 8/6 = 1.3333

x° = 1.3333 = 53.1°

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Answer:

M= 1.4

Step-by-step explanation:

i'll be honest I just slapped into google and a Quizlet popped up

Answer:

-1/5

Step-by-step explanation:

make them have the same denominator by multiplying -1/2 by 5 on the bottom and top which then gives you -5/10 + 3/10 that then gives your -2/10 which reduces to -1/5

Answer: here are my answers.

Step-by-step explanation: Here are some brief answers to your questions:

1. The appearance of God is a matter of personal belief and varies across different religions and cultures.

2. This question is still debated by scientists and philosophers, and there is no clear answer. It is thought that the egg came first, as the evolution of birds and egg-laying animals predates the existence of chickens.

3. Views on what happens after death also vary across different religions and cultures. Some believe in an afterlife, while others do not.

4. Black holes are extremely dense regions in space where gravity is so strong that nothing, not even light, can escape.

5. Water is wet because it has a high surface tension, which allows it to adhere to other surfaces and create a thin film of water.

6. People die due to a variety of factors, including disease, injury, and aging.

7. The origin of the world is a complex question that has been studied by scientists, philosophers, and theologians for centuries. The most widely accepted scientific theory is the Big Bang theory, which suggests that the universe began with a massive explosion approximately 13.8 billion years ago.

8. Babies are formed through the fertilization of an egg by sperm, which occurs during sexual intercourse.

9. The sea is salty due to the presence of dissolved salts and minerals, which come from the weathering of rocks and volcanic activity.

10. The moon is sometimes visible during the day because its orbit around the Earth causes it to appear in different parts of the sky at different times.

11. The internet is a global network of interconnected computers and servers that communicate with each other using standardized protocols.

12. The sky appears blue because of the scattering of sunlight by the gases and particles in the Earth's atmosphere.

13. Wind is caused by differences in air pressure, which are created by variations in temperature, humidity, and other factors.

14. A leap year is a year that contains an extra day (February 29) to keep the calendar year synchronized with the astronomical year, which is approximately 365.25 days long.

15. The Earth spins on its axis due to the conservation of angular momentum from the formation of the solar system.

16. Blood is red because it contains hemoglobin, a protein that binds to oxygen and gives blood its characteristic color.

17. Infinity is a mathematical concept that represents a quantity that is larger than any finite number.

18. The Earth has a diameter of approximately 12,742 kilometers (7,918 miles) and a circumference of approximately 40,075 kilometers (24,901 miles).

19. The sky appears to be above us because the Earth's gravitational field holds the atmosphere in place around the planet.

20. Cutting onions releases a gas called syn-propanethial-S-oxide, which irritates the eyes and causes them to produce tears.

21. Planes fly by generating lift from their wings, which is created by the flow of air over the curved surface of the wing.

22. Telephones work by converting sound waves into electrical signals, which are transmitted over a network of wires or wireless connections.

23. Television works by transmitting images and sound over electromagnetic waves, which are received by a receiver and displayed on a screen.

24. Whether a person is right or left-handed is determined by the dominant hemisphere of their brain.

25. Electricity is a form of energy caused by the movement of electrons through a conductor.

26. Clouds float because they are made up of tiny water droplets or ice crystals that are lighter than the surrounding air.

27. Cars work by converting the energy stored in fuel into motion through a series of processes, including combustion, transmission, and propulsion.

28. The sun and moon appear to stay in the sky due to their position relative to the Earth's rotation and orbit.

29. The color of a person's eyes is determined by the amount and type of pigments in the iris.

30. Lightning is caused by the buildup and discharge of electrical energy in the atmosphere, typically between a cloud and the ground or between two clouds.

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8

As per questions,

\( \frac{1}{9} \times \frac{3}{4} \)

As 3 and 9 can be cancelled, we get,

\( \frac{1}{3} \times \frac{1}{4} \)

Now multiplying denominators and numerators,

\( \frac{1}{12} \)

Hence, the required answer is \( \frac{1}{12} \)

\( \frac{ \frac{5}{7} }{ \frac{2}{3} } \)

When the base denominator (2/3) is reciprocaled,

\( \frac{5}{7} \times \frac{3}{2} \)

As we can't directly divide, so we can multiply them,

\( \frac{5 \times 3}{7 \times 2} \)

\(→ \frac{15}{14} \)

Hence, the required answer is \( \frac{15}{14} \)

\(7.89 - 3.9\)

Direct subtraction, (Check solution in attached image)

\(→3.99\)

Answer:

TS = 6.6 (nearest tenth)

Step-by-step explanation:

Secant: a straight line that intersects a circle at two points.

Tangent: a straight line that touches a circle at only one point.

Theorem

When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Given:

⇒ QR² = TR · SR

⇒ 19² = (TS + 16) · 16

⇒ 361 = (TS + 16) · 16

⇒ 22.5625 = TS + 16

⇒ TS = 22.5625 - 16

⇒ TS = 6.5625

⇒ TS = 6.6 (nearest tenth)

Answer:

7.1437 is greater

Step-by-step explanation:

Answer:

7.133 < 7.1437

Step-by-step explanation:

Line up the numbers till you find one that is greater

False. The total shrink for a three- and four-bend saddle is equal to that of an offset.

The statement "total shrink for a three- and four-bend saddle is twice that of an offset" is true.

1. Shrink: Shrink refers to the amount of extra conduit length needed to account for bends in the conduit, so it maintains the required distance between two points after bending.

2. Offset: An offset is a two-bend conduit configuration used to navigate around obstacles while maintaining a straight path. The total shrink for an offset can be calculated using the formula: Shrink = offset height x (multiplier for the specific angle).

3. Saddle: A saddle is a conduit configuration with either three or four bends. It is used to navigate over or under obstructions while maintaining a straight path.

4. Comparison: For both three- and four-bend saddles, the total shrink is twice that of an offset. This is because a saddle consists of two sets of bends (either two offsets or an offset and a U-bend) and requires additional conduit length to accommodate these extra bends.

In conclusion, the statement is true, as the total shrink for a three- and four-bend saddle is indeed twice that of an offset.

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Answer:

0.6

Step-by-step explanation:

Given problem:

                 \(\sqrt[3]{\frac{64}{343} }\)  

if an expression is of this form, we simplify

           \(\sqrt[3]{x}\)   = \(x^{\frac{1}{3} }\)  

\(\sqrt[3]{\frac{64}{343} }\)   = \(\frac{64^{\frac{1}{3} } }{343\frac{1}{3} }\)  

            = \(\frac{4^{3x ^{\frac{1}{3} } } }{7 ^{3 ^x{\frac{1}{3} } } }\)

           = \(\frac{4}{7}\)

           = 0.57 to the nearest tenth

          = 0.6

Answer:

0.3

Step-by-step explanation:

Were you asking for 5% of 6? Because then you would just multiply 6 by 0.05 (because percents are always out of 100%, so converted to decimal it is out of 1) and then get 0.3

Answer: The percentage of 6 by 5 (i.e. 6:5) is 120

Step-by-step explanation:

Given: 6 by 5 i.e. 6/5

Solution: (value/ total value)* 100

hence, (6/5)*100

=1.2*100

=120.

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By finding the average rate of change, we can see that:

a) The cost decreases.

b) The cost increases.

To check that, we need to find the average rate of change on the interval.

Remember that for function f(x) on an interval (a, b), the average rate of change is:

R = (f(b) - f(a))/(b - a)

Here the cost function is:

c(n) = 0.25*n² - 10n + 800

a) In the interval [10, 15] the average rate of change is given by:

R = (c(15) - c(10)/(15 - 10)

Where:

c(15) = 0.25*15^2 - 10*15 + 800 = 706.25

c(10) = 0.25*10^2 - 10*10 + 800 = 725

Then the average rate of change is:

R = (706.25 - 725)/(15 - 10) = -3.75

This means that between 10 and 15 light fixtures, the cost is decreasing.

b) Now we have the interval [20, 25], so let's do the same ting:

c(20) = 0.25*20^2 - 10*20 + 800 = 700

c(25) = 0.25*25^2  - 10*25 + 800 = 706.25

Here the average rate of change is:

R = (706.25 - 700)/(25 - 20) = 1.25

It is positive, which means that the cost is increasing.

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A because the > symbol means greater so if n is on the open side that means its greater

~Shoto Todoroki here~

its option A

i figured this out by trial and error :/

have a good day!

the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

There are no factors of 24 that are prime numbers. A factor of a number is a whole number that divides that number without leaving a remainder. Prime numbers, on the other hand, are numbers that are divisible only by 1 and themselves, and cannot be expressed as the product of any other numbers.

The prime factors of 24 are 2, 2, and 3. We can factorize 24 as 2 × 2 × 2 × 3 or 2^3 × 3. Here, 2 and 3 are both prime numbers, but they are not factors of 24 in isolation. They are only prime factors of 24 when combined in the manner shown.

This fact highlights an important concept in number theory: the uniqueness of prime factorization. Every composite number can be expressed as a unique product of prime numbers. This fundamental theorem of arithmetic is crucial in many areas of mathematics, including cryptography, where it is used to secure communications and protect sensitive information.

In summary, there are no factors of 24 that are prime numbers. However, the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

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3. Using  slope and/or the distance formula .The most precise name for the

figures A(-6, -7), B(-4,-2), C(2,-1), D(0) is: [A] rectangle.

4.  Using slope and/or the distance formula. The most precise name for the

figure: A(-3,-5), B(4, -2), C(7, -9), D(0,-12) is: [D] kite.

3. We must look at the sides and angles characteristics to identify the figure's name. We can plot the four points on a graph to see how the figure appears since we have four points.

When we plot the points on a graph we can see that BC and AD and AB and CD have the same length. In addition every angle is 90 degrees. The figure is a rectangle.

Therefore the correct option is A.

4. Once more we can graph the points and analyze the sides and angles characteristics.

Since AB, BC, and CD have different lengths when the points are plotted on a graph the figure is neither a rhombus nor a square. The figure is a kite since the diagonals AC and BD both connect at a straight angle.

Therefore the correct option is D.

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This may help

https://youtu.be/xxAFh-qHPPA

Probability is a measure of the likelihood of an event to occur. If p(a∪b)=0.8, p(a∩b')=0.3, and p(b∩a')=0.2 then  6-a. p(a∪b)'=0.2, 6-b. p(a∩b) = 0, 6-c. p(a) = 0.3 6-d. p(b) =0.2, 6-e. p(b') =0.8.

Using De Morgan's laws and the formula for the probability of the union of two events to solve these problems.

Let A' denote the complement of event A.

6-a. We have:

p(A∪B)' = 1 - p(A∪B)

Since A and B are not necessarily disjoint, we can use the formula:

p(A∪B) = p(A) + p(B) - p(A∩B)

Substituting the given values, we get:

p(A∪B) = p(A) + p(B) - 0.3 = 0.8

We don't know the values of p(A) and p(B) individually, so we can't calculate p(A∪B) directly. However, we can use the formula for the complement and the values we already have:

p(A∪B)' = 1 - p(A∪B) = 1 - 0.8 = 0.2

Therefore, p(A∪B)' = 0.2.

6-b. We are given that p(A∩B') = 0.3. Using De Morgan's laws, we can rewrite this as:

p((A')∪B) = 0.3

Now, we can use the formula for the probability of the union of two events to get:

p(A') + p(B) - p(A'∩B) = 0.3

Since A and B are linearly independent, we know that A' and B are also linearly independent. Therefore, A'∩B = {0}, the zero vector. So we have:

p(A') + p(B) = 0.3

We also know that p(B∩A') = 0.2. Again using De Morgan's laws, we can rewrite this as:

p((B')∪A) = 0.2

Using the formula for the probability of the union, we get:

p(B') + p(A) - p(B'∩A) = 0.2

Since A and B are linearly independent, we know that B' and A are also linearly independent. Therefore, B'∩A = {0}. So we have:

p(B') + p(A) = 0.2

Now we have two equations with two unknowns. Solving for p(A) and p(B), we get:

p(A) = 0.4

p(B) = 0.1

Therefore, p(A∩B) = p({0}) = 0.

6-c. We have:

p(A) = p(A∩B) + p(A∩B') = 0 + 0.3 = 0.3

Therefore, p(A) = 0.3.

6-d. We have:

p(B) = p(A∩B) + p(B∩A') = 0 + 0.2 = 0.2

Therefore, p(B) = 0.2.

6-e. We have:

p(B') = 1 - p(B) = 1 - 0.2 = 0.8

Therefore, p(B') = 0.8.

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Answer:

197

Step-by-step explanation:

https://www.cusd80.com/cms/lib/AZ01001175/Centricity/Domain/8294/HA2%20Chapter%202%20Review%20Key.pdf