Mrs. Fekin bought herself a new water jug. The jug of water holds 64 ounces. If she drinks 4 ounces per hour, after how many hours will the jug have 32 ounces in it?

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Some of the causes of coral bleaching are:

Temperature, Solar radiance, Subaerial exposure, sedimentation, etc.

Coral bleaching is when water becomes too warm and corals start to expel the algae called zooxanthellae living in their tissues causing the coral to turn completely white.

We have,

Coral bleaching is caused due to the following:

-Temperature

Seawater temperature rises due to global warming.

- Solar Irradiance

This occurs during the summer months

- Subaerial Exposure

This means the low tides, sea level drops, and tectonic uplift which can result in the exposure of coral to the atmosphere.

- Sedimentation

Due to land activities sediment content in water increases and disrupts the natural process of photosynthesis.

Thus,

The causes of coral bleaching are given above.

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(-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²)  is the combined terms of the given expression.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given terms are

⇒  -5y³ + 3y³ + 5x³ - 3y³ + x³ -2y²  + 3y²

Combine all y³ terms

-(5y³ + 3y³ -  3y³)

Combine all  x³ terms

(5x³ + x³)

Combine all y² terms

( -2y² + 3y²)

Add all together (-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²)  is the combined likely terms.

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Step-by-step explanation:

Find 1/4 of 56

56 / 4 = 14

Now

56-14=42

Now

42/7=6

6x4=24

42-24=18

18 copies left

Answer:

15

Step-by-step explanation:

given solution

x=4 20-(3y-4x) substitute

y=7 20-(3(7)-4(4))

20-(21-16)

20-5

answer =15

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.

Nt = N₀ × λ^t

Nt = Population size at generation t

N₀ = Current population size

t = Number of generations

λ = Finite rate of increase

λ = 1.2

N₀ = 150

Nt = 150 × 1.2²

Nt = 150 × 1.44

Nt = 216

Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.

Therefore, the expected population size be after two generations is 216

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The tank contains 150 liters of fluid, in which 40 grams of salt is dissolved. The number of grams of salt in the tank remains constant at 40 grams regardless of the time t.

At a rate of 5 liters per minute, brine containing 1 gram of salt per liter is pumped into the tank. Simultaneously, the well-mixed solution is pumped out at the same rate.

To find the number A(t) of grams of salt in the tank at time t, we can use the following equation:

A(t) = initial amount of salt + (rate of salt in - rate of salt out) * time

Let's break down the equation:

- The initial amount of salt in the tank is 40 grams.
- The rate of salt in is 1 gram per liter, and since the rate of flow is 5 liters per minute, the rate of salt in is 5 grams per minute.
- The rate of salt out is also 5 grams per minute, as the well-mixed solution is pumped out at the same rate as it is pumped in.

Now we can plug these values into the equation:

A(t) = 40 + (5 - 5) * t

The rate of salt in and the rate of salt out cancel each other out, so the equation simplifies to:

A(t) = 40

Therefore, the number of grams of salt in the tank remains constant at 40 grams, regardless of the time t.

In conclusion, the number of grams of salt in the tank remains constant at 40 grams regardless of the time t.

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Answer:

A ( SAS )

Step-by-step explanation:

The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).

This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2

Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.

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V = ( 4/3 ) × π × r^3

V = ( 4/3 ) × π × ( 6/2 )^3

V = ( 4/3 ) × π × ( 3 )^3

V = ( 4/3 ) × 3 × 9 × π

V = 4 × 9 × π

V = 36 π m^3

Thus the correct answer is option D .

Answer:

25

Step-by-step explanation:

a² + 7a + 7

a = 2

Plug in the value of 2 for every occurance of a.

(2)² + 7(2) + 7

First, solve the exponent.

4 + 7(2) + 7

Now, multiply.

4 + 14 + 7.

Add.

25

This is your answer.

Hope this helps!

The correct option is d.) the population is subdivided into smaller and smaller clusters which are then sampled.

Multistage sampling is the process of taking samples in stages, with successively smaller sampling units. Given that multistage sampling requires segmenting the population into groups, it can be a complex variation on cluster sampling.

The population is first segmented into clusters, and some of them are chosen as primary sample units (PSUs).

In the subsequent stage, we further cluster PSUs and choose some of them to serve as secondary sampling units (SSUs).

The process can be stopped at stage two or extended as many times as necessary. The final sample is the ultimate sampling units (USUs).

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The probability that: either a or b occur

P(AUB)=0.9

This is further explained below.

Generally, In the fields of logic and probability, two occurrences are said to be mutually exclusive or discontinuous if it is impossible for both of them to take place at the same moment. One obvious illustration of this is the possible results of a single flip of a coin, which may produce either heads or tails, but not both at the same time.

Therefore,

P(AUB)=P(A)+P(B)

P(AUB)=0.7+0.2

P(AUB)=0.9

In conclusion,

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CQ

Suppose that a and b are mutually exclusive events for which p(a) = 0.2 and p(b) = 0.7. what is the probability that: either a or b occur7

Large pizzas are 14 inches in diameter and will offer approximately 10 slices.

What is meant by diameter?

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False. The statement is incorrect. Both dynamic games and static games can be represented in either extensive form or normal form, depending on the nature of the game and the level of detail required.

The extensive form is typically used to represent dynamic games, where players make sequential decisions over time, taking into account the actions and decisions of other players. This form includes a timeline or game tree that visually depicts the sequence of moves and information sets available to each player.

On the other hand, the normal form is commonly used to represent static games, where players make simultaneous decisions without knowledge of the other players' choices. The normal form presents the game in a matrix or tabular format, specifying the players' strategies and the associated payoffs.

While it is true that dynamic games are often represented in the extensive form and static games in the normal form, it is not a strict requirement. Both forms can be used to represent games of either type, depending on the specific context and requirements.

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Answer:

14 cookies

Step-by-step explanation:

Answer:

Step-by-step explanation:

so first you have to subtract 64 dollars from your balance so $98-$64=$34.

Next you have to subtract $10.85 from your new balance so it would be $34-$10.85=$23.15

Last you have to divide 23.15 by 1.65 because you have to see how many cookies you can afford, so it would be 23.15 divided by 1.65 and the answer is 14. so you can afford 14 cookies

There is a 3.1% chance of obtaining a sample with a mean of 85 or higher assuming that the true mean sales at the new location are still equal to or less than 75 bowls a day.

What is the P value in statistics?

P value is a part of hypothesis testing. The P value is a measurement used against some data in testing.

Given in question,

    Food Truck in  Old location:

                             Sold =  75 bowls of noodle soup

   New location  Sold =  85 bowls of noodle soup

   p-value = 0.031

there is a 3.1% chance of obtaining a mean with a sample.

similarly, that is we can tell that the true mean sales at the new location will be still equal to or less than 75

  i.e. [P(X=75) ≤ P(X=85)]   bowls a day.

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Answer:

Have a Nice Day :  ) if Incorrect sorry .

Answer:

your answer is \(27/60\) and \(7/60\)

\(9 \geqslant w \\ \\ - 7 \leqslant w\)

"9 is greater than or equal to w" translates to \(9 \ge w\) which flips to \(w \le 9\). We swap both sides and flip the inequality sign as well.

"-7 is less than or equal to w" translates to \(-7 \le w\)

We have \(-7 \le w\) and \(w \le 9\) which then ultimately combine into the compound inequality \(-7 \le w \le 9\)

The slope is equal to -1/2.

The coordinates of point P is at [-2, -3].

In this scenario, line ratio would be used to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 2 to 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 - 5)/(4 + 6)

Slope (m) = -5/10 = -1/2.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of P and this is modeled by this mathematical equation:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

P(x, y) = [(2(4) + 3(-6))/(2 + 3)],  [(2(0) + 3(-5))/(2 + 3)]

P(x, y) = [(8 - 18)/(5)],  [(-15)/5]

P(x, y) = [-10/5],  -3]

P(x, y) = [-2, -3]

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The ordered pair that represents a function is {(0,0),(1,10),(10,4),(-1,-7)}.

A set of ordered pairs that defines a function will be the one that has exactly one y-value that assigned to every x-value. This means that none of its x-values can have two corresponding y-values.

All the sets of ordered pairs don't have exactly one y-value that corresponds to each of its x-value except {(0,0),(1,10),(10,4),(-1,-7)}.

Thus, we can say that the ordered pair that represents a function is {(0,0),(1,10),(10,4),(-1,-7)}.

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Answer:

45

Step-by-step explanation:

2.5 x 12= 30

1/2 (6) (3)= 9

1/2( 2) (6)=6

30 +9 +6 = 45

To determine if there was a significant difference in perceived intelligence between attractive photos and unattractive photos, we will conduct a two-tailed t-test at the .05 level of significance. Here's a step-by-step explanation:

1. State the null hypothesis (H0) and alternative hypothesis (H1):
H0: There is no significant difference in perceived intelligence between attractive and unattractive photos (MD = 0).
H1: There is a significant difference in perceived intelligence between attractive and unattractive photos (MD ≠ 0).

2. Determine the level of significance (α):
α = 0.05 for a two-tailed test.

3. Calculate the t-value:
For this test, we have the sample size (n = 25), the average difference between the two scores (MD = 2.7), and the standard deviation (s = 2.00). The formula for the t-value is:

t = (MD - 0) / (s / √n)

t = (2.7 - 0) / (2.00 / √25)
t = 2.7 / (2.00 / 5)
t = 2.7 / 0.4
t = 6.75

4. Determine the critical t-value:
Using a t-distribution table or calculator for a two-tailed test with α = 0.05 and 24 degrees of freedom (n - 1 = 25 - 1 = 24), the critical t-value is approximately ±2.064.

5. Compare the calculated t-value with the critical t-value:
Since our calculated t-value (6.75) is greater than the critical t-value (2.064), we reject the null hypothesis (H0).

In conclusion, the data are sufficient to conclude that there is a significant difference in perceived intelligence between attractive and unattractive photos, supporting the alternative hypothesis (H1). The attractive photos were rated higher in perceived intelligence compared to the unattractive photos at the .05 level of significance.

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Answer:1.24

2.7 27/56

3.3/4

4.1 2/3

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Use pythagorean theorem:

\(a^{2} +b^{2} =c^{2} \\\)

For example, if we are given the lengths:

Short side: 3

Hypotenuse: 5

and we have to find the other side length:

\(a^{2} +b^{2} =c^{2} \\3^{2} +b^{2} =5^{2} \\9+b^{2} =25\\b^{2} =16\\b=4\)

So, the missing side length would be 4.

Hope this helps!  :)

The relationship between x and y is a strong negative relationship.

For this question, we need to determine the correlation coefficient,

Thus,

The correlation coefficient

= (21 - 5*6)/ \(\sqrt{9 * 10}\)

= -0.948

The above answer is too close to -1. Therefore correlation coefficient is a strong negative.

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