Monica has a juice stand. The table represents the number of glasses of juice Monica sells, x, and the amount she earns, y.
Table:
x: 1 | 2 | 3 | 4 |
y: 5 | 10 | 15 | 20 |

Which equation best represents the amount earned by Monica?

A: y= 5x
B: y= 5+x
C: x= 5y
D: x= 5+y

The number of bacteria after 5 hours with initial numbers 3500 increased double in each hour is equal to 112,000.

Initially number of bacteria in a culture =  3500

Total hours the number of bacteria double = Each hour

Then the growth rate is equal to  2

As the number of bacteria after each hour is twice the previous numbers.

Formula used for the number of bacteria after t hours ,

N = N₀ x 2^t

where N₀ is the initial number of bacteria.

Time in hours = t hours

And N is the number of bacteria after t hours.

After 5 hours, the number of bacteria present is equal to,

⇒N = 3500 x 2^5

⇒N = 3500 x 32

⇒N = 112,000

Therefore, number of bacteria present after 5 hours is equal to 112,000.

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Answer:

40,000,000

Step-by-step explanation:

Answer:

40,000,000

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

x=first number

y=second number

Answer:

x = -5

Step-by-step explanation:

x is always the first number

y is always the second number

hoped that helped:P

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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Answer:

15 over r when r. so 15-5 : 10

The area enclosed between the graph of Æ and the x-axis for 1 ≤ x ≤ 3 is estimated to be 4/3.

Ram's Rule is a numerical integration method used to estimate the area under a curve by dividing it into trapezoids. The formula for calculating the area under the curve is given by A = (1/2) x (b - a) x (f(a) + f(b)), where A is the area, b and a are the limits of the integration and f(a) and f(b) are the values of the function at the limits a and b respectively.

In this case, the area enclosed between the graph of Æ and the x-axis for 1 ≤ x ≤ 3 can be estimated using Ram's Rule as follows:

A = (1/2) x (3 - 1) x (1/1 + 1/3)

 = (1/2) x (2) x (4/3)

 = 4/3.

Therefore, the area enclosed between the graph of Æ and the x-axis for 1 ≤ x ≤ 3 is estimated to be 4/3.

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The branch of statistics that deals with the organization and summarization of collected information is called Descriptive Statistics.

Descriptive Statistics involves the methods and techniques used to describe and summarize data in a meaningful way, providing insights and understanding about the characteristics of the data set.

In Descriptive Statistics, the focus is on organizing, presenting, and summarizing data through various measures such as central tendency (mean, median, mode), dispersion (range, variance, standard deviation), and graphical representations (histograms, bar charts, pie charts).

It aims to provide a concise and informative summary of the data, allowing researchers or analysts to gain a better understanding of the data set and draw meaningful conclusions.

Descriptive Statistics plays a crucial role in the initial stages of statistical analysis by providing a clear and concise overview of the data, enabling researchers to identify patterns, trends, and important features of the data set. It serves as a foundation for further statistical analysis and helps in making informed decisions based on the collected information.

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Answer: 1 hour

Step-by-step explanation: 3/3 = 1 you divide by 3 to get a third

Answer:

1 hour

Step-by-step explanation:

To solve this, we can multiply 3 by \(\frac{1}{3}\).

Therefore, \(\frac{1}{3}\) of 3 hours is 1 hour.

The probability that at least one of the 5 systems will detect the theft when it occurs is what the bank is interested in. To find this probability, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring.

Let A be the event that at least one of the 5 alarm systems detects the theft. The complement of A is the event that none of the 5 systems detects the theft, which we will denote by A'.Since each system detects the theft with a probability of 0.88, the probability that any one system does not detect the theft is 1 - 0.88 = 0.12.

Therefore, the probability that none of the 5 systems detect the theft is: P(A') = (0.12)⁵ = 0.00005376Using the complement rule, we can find the probability that at least one of the 5 systems will detect the theft: P(A) = 1 - P(A') = 1 - 0.00005376 = 0.99994624Therefore, the probability that when a theft occurs, at least one of the 5 systems will detect it is approximately 0.99995 when rounded to 5 decimal places.

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Answer:

$3,096

Step-by-step explanation:

To find the total interest Mr. Quesada will pay, we need to first calculate the total amount he will pay back, and then subtract the original amount borrowed.

The total amount Mr. Quesada will pay back over 24 months is:

$629 x 24 = $15,096

Subtracting the original loan amount, we get:

$15,096 - $12,000 = $3,096

So Mr. Quesada will pay a total of $3,096 in interest over the course of the loan.

A true conditional statement consists of a hypothesis and a conclusion, where the conclusion logically follows from the hypothesis. In order for a conditional statement to be true, both the hypothesis and the conclusion must be true.

Here is an example of a true conditional statement with a correctly identified hypothesis and conclusion:

"If it is raining, then the ground is wet."

Hypothesis: "It is raining."
Conclusion: "The ground is wet."

In this example, the hypothesis is the condition that must be true for the conclusion to be true. If it is indeed raining, then it follows logically that the ground would be wet. Therefore, this conditional statement is true.

It's important to note that not all conditional statements are true. For example, the statement "If it is raining, then the ground is dry" would be false, as it contradicts the logical connection between rain and a wet ground.

In summary, a true conditional statement includes a correctly identified hypothesis and conclusion, where the conclusion logically follows from the hypothesis.

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Answer:

7. Approximately 402.7 inches or 2pi times 64

8. 31.83 To solve this you know 2pi r is an equation for the radius. 2πr=200 and r=200/2π=100/π= 31.83.

9. The one with pi in the equation because 3.14 is only a piece of pi but the symbol represents the whole number which goes on forever.

Step-by-step explanation:

The given problem involves the angular kinematics of a train's wheels during its acceleration. Angular kinematics is a branch of physics that deals with the motion of objects in circular motion, and it includes concepts such as angular displacement, velocity, and acceleration. In this problem, we are given a specific scenario where a train is being tested for public use, and its wheels have a radius of 0.30 m and an angular acceleration of 0.20 rad/s2. We are asked to find the angular displacement of the wheels in radians per second after they have made 200 revolutions. To do this, we need to first find the total angular displacement of the wheels, which is equal to the product of the number of revolutions and the angle covered by each revolution. By applying the appropriate formula and converting the angle to radians, we can solve for the angular displacement in radians. The concept of angular kinematics is important in many areas of physics and engineering, including the design and analysis of rotating machinery and vehicles.

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The angular displacement after testing is approximately 12.73 radians per second.

To answer your question, we need to first convert the number of revolutions to radians and then use the given angular acceleration to find the angular velocity.

1. Convert revolutions to radians:
200 revolutions * (2π radians/revolution) = 400π radians

2. Use the angular displacement (θ) and angular acceleration (α) to find the angular velocity (ω):
θ = 0.5 * α * t^2
400π = 0.5 * 0.20 * t^2
Solve for t:
t^2 = (400π) / 0.1
t ≈ 63.66 seconds

3. Calculate angular velocity (ω) using angular acceleration (α) and time (t):
ω = α * t
ω = 0.20 rad/s² * 63.66 s
ω ≈ 12.73 rad/s

The angular displacement after testing is approximately 12.73 radians per second.

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Answer:

D. 40% of his customers ordered no chili and no cheese on their hot dog

Step-by-step explanation:

If we look at what column/row 0.4 is in we can see that it's in the "No cheese" and "No chili"

so

that's why it's 40% of his customers ordered no chili and no cheese on their hot

Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.

Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.

It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.

Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.

Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.

Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.

To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.

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Answer:

c. y = 1/2x - 2

Step-by-step explanation:

they have the same gradient so are parallel

Answer:

Noah's center is 85 1/2 I believe

And Gabe's is 86 I think

AND WELCOME TO BRAINLY!

Answer:

The answer is B

Step-by-step explanation:

a. A tea bag is considered small if it weighs less than 2.626 grams.

b. The probability that it weighs at least 2.25 grams is 17.07%.

The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not.

(a) Let X be the weight of a tea bag. Then X ~ N(3.5, 0.53²). We want to find the value of w such that P(X < w) = 0.052. Using the standard normal distribution, we have:

(P(X < w) - P(X < 3.5)) / 0.53 = z

where z is the 0.052 quantile of the standard normal distribution. Using a standard normal table or calculator, we find that z ≈ -1.645. Substituting the values and solving for w, we get:

(w - 3.5) / 0.53 = -1.645

w - 3.5 = -0.874

w ≈ 2.626

Therefore, a tea bag is considered small if it weighs less than 2.626 grams.

(b) We want to find P(X ≥ 2.25 | X < 2.626), which is the conditional probability that a selected tea bag weighs at least 2.25 grams given that it is small. Using the properties of the normal distribution, we have:

P(X ≥ 2.25 | X < 2.626) = P((X - 3.5) / 0.53 ≥ (2.25 - 3.5) / 0.53 | (X - 3.5) / 0.53 < (2.626 - 3.5) / 0.53)

= P(Z ≥ -2.358 | Z < -1.566)

where Z is a standard normal random variable. Using a standard normal table or calculator, we find that:

P(Z ≥ -2.358) ≈ 0.990

P(Z < -1.566) ≈ 0.058

Therefore, P(X ≥ 2.25 | X < 2.626) ≈ 0.990 / 0.058 ≈ 17.07%.

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Answer:

55/126

Step-by-step explanation:

(3/7)x(9/9)=27/63

(4/9)x(7/7)=28/63

(27/63)x(2/2)=54/126

(28/63)x(2/2)=56/126  

VNTR analysis involves examining and analyzing the variations in the number of repeated DNA sequences known as tandem repeats.

VARIABLE NUMBER TANDEM REPEAT (VNTR) analysis involves examining and analyzing the variations in the number of repeated DNA sequences known as tandem repeats.

These tandem repeats consist of short DNA sequences repeated in a head-to-tail fashion.

VNTR analysis primarily focuses on identifying and characterizing the variations in the number of repeats within specific genomic regions.

By studying VNTRs, scientists can gain insights into genetic diversity, individual identification, and genetic relationships among individuals or populations.

VNTR analysis typically involves techniques such as polymerase chain reaction (PCR) amplification of the target region, followed by fragment analysis to determine the number of repeats present.

The variations in VNTRs make them highly polymorphic, meaning they differ significantly between individuals.

This polymorphism allows VNTR analysis to be used in various applications, including forensic analysis, paternity testing, population genetics, and evolutionary studies.

In summary, VNTR analysis involves examining and analyzing the variations in the number of repeated DNA sequences known as tandem repeats, providing valuable information for genetic diversity and identification purposes.

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The quadratic equation are equations that have an axis of symmetry

passing through the vertex.

Reasons:

2. The x-intercepts are given by the point at which the y-value of the equation are zero.

Therefore;

The quadratic equation are;

(x + 3)·(x - 1) = 0

x² + 2·x - 3 = 0

The equation can also be written in the form;

(-x - 3)·(x - 1) = 0

-x² - 2·x + 3 = 0

The quadratic equations are;

3. The points through which the quadratic equation passes are;

(-4, 2) and (1, 2)

The value at the vertex = Maximum value

Taking the vertex as the point midway between the two given points, we have;

\(\displaystyle Coordinates \ of \ the \ vertex = \left( \frac{-4 + 2}{2} , \, k \right) = \left(-1, \, k)\)

The coordinates of the vertex, (h, k) = (-1, y)

The vertex form of a quadratic equation is presented as follows;

(y - k) = a·(x - h)²

y = a·(x - h)² + k

Which gives;

y = a·(x - (-1))² + k = a·(x + 1)² + k

y = a·(x + 1)² + k

At the point (-4, 2), we have;

2 = a·((-4) + 1)² + k = 9·a + k

2 = 9·a + k

Taking the value of k as 11, we have;

(h, k) = (-1, 11)

2 = 9·a + 11

\(\displaystyle a = \frac{2 - 11}{9} = -1\)

Which gives;

y = -1·(x + 1)² + 11 = -x² - 2·x + 10

y = -x² - 2·x + 10

When x = -4, we have;

y = -(-4)² - 2·(-4) + 10 = 2

When x = 2, we have;

y = -(2)² - 2·(2) + 10 = 2

4. The points through which the graph passes are; (-4, 2) and (1, 2)

The x-coordinate of the minimum vertex is given by the equation;

\(\displaystyle Coordinates \ of \ the \ vertex, \ (h, \, k) = \left( \frac{-4 + 1}{2} , \, k\right) = \left(-1.5, \, k)\)

(h, k) = (-1.5, y)

The vertex form of the equation of a quadratic equation is presented as follows;

y = a·(x - h)² + k

Which gives;

y = a·(x - (-1.5))² + k

y = a·(x + 1.5)² + k

\(\displaystyle a = \mathbf{\frac{y - k}{\left(x + 1.5\right)^2}}\)

At the point (1, 2), we have;

\(\displaystyle a = \frac{2 - k}{\left(1 + 1.5\right)^2} = \frac{2 - k}{6.25}\)

When k = -4.25, we have;

\(\displaystyle a = \frac{2 - k}{\left(1 + 1.5\right)^2} = \frac{2 - \left(-4.25 \right)}{6.25} = 1\)

The equation is therefore;

y = 1·(x + 1.5)² - 4.25 = x² + 3·x - 2

y = x² + 3·x - 2

At the point where x = -4, we have;

y = (-4)² + 3·(-4) - 2 = 2

At the point where x = 1, we have;

y = (1)² + 3·(1) - 2 = 2

Therefore;

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Answer:

here are 26 choices for each letter, so we can select the letters in 26 x 26 x 26 waysThere are 10 choices for each digit so we can select digits in 10 x 10 x 10 x 10 ways. So total : 26 '3 x 10 '4 ways

Step-by-step explanation:

The number of distinct license plates that can be created in the given pattern is 17576000.

The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.

Given: A standard New York car license plate has 3 letters followed by 4 numbers.

If the letters and numbers can be repeated, then the number of ways 3 letters picked for license plate = 26 x 26 x 26

And the number of ways 4 numbers picked for license plate = 10 x 10 x 10

The total number of distinct license plates that can be created in the given pattern = 26 x 26 x 26 x 10 x 10 x 10

= 17576000

Hence, the number of distinct license plates that can be created in the given pattern is 17576000.

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The required Jane is approximately 59.28 inches tall.

Height is a measurement of vertical distance, either in terms of vertical extent (how tall an object or person is) or in terms of vertical position (how high a point is). "The height of that building is 50 meters" or "The height of an airplane in flight is approximately 10,000 meters" are two examples.

Sylvia's height can be represented as:

Sylvia’s height =56\(\frac{3}{4}\) inches

Bill is \(\frac{1}{3}$\) of 8 inches taller than Sylvia, which means that Bill's height is:

\($\begin{align*}\text{Bill's height} &= \text{Sylvia's height} + \frac{1}{3} \times 8\ \text{inches} \&= 56 \frac{3}{4}\ \text{inches} + \frac{8}{3}\ \text{inches} \&= 58 \frac{7}{12}\ \text{inches}\end{align*}\)

Jane is \(1 \frac{1}{5}$\) inches taller than Bill, which means that Jane's height is:

\($\begin{align*}\text{Jane's height} &= \text{Bill's height} + 1 \frac{1}{5}\ \text{inches} \&= 58 \frac{7}{12}\ \text{inches} + 1 \frac{1}{5}\ \text{inches} \&= 59 \frac{17}{60}\ \text{inches}\end{align*}\)

Therefore, Jane is approximately 59.28 inches tall.

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Answer:

C

Step-by-step explanation:

The table has 2 inputs that are the same (-1) but have different outputs (7 and 1). The list of coordinates also has 2 points with the same x - axis but different y values. For the graph you could use the vertical line test. If you put the line on -1 on the x-axis is goes through 2 points. The indicates that it is not a function.

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The largest area of the rectangle is 2 square units.

We have a right angled isosceles triangle with hypotenuse 4 units.

so its base will be equal to the perpendicular  , let it be B

So we know ,

B² + P² = H²

2B² = H²

B²  = 16/2

B = 2√2

So base is equal to perpendicular = 2√2 units

Now let consider a rectangle inside the triangle with length 2x and the width y , and the area will become

A = 2xy  ....(1)

we see from the figure the length of the perpendicular AD drawn on the hypotenuse is

BD² + AD² = AB²

AD² = AB² - BD²

      = 8 - 4

AD² = 4

AD = 2 units

Now we see triangle ABD and AEG are similar to each other , So

AD/BD = AG/GE

2/2 = 2-y/x

therefore

x = 2-y

put this value in eqn (1)

A = 2(2-y)y

A = 4y - 2y²

Now to maximize the area we take the derivative of the equation and then put it equal to zero

∴ 4 - 4y = 0

y = 1

∴ x = 2-y = 2-1 = 1 units

So area will be maximum when length and width are 1 units each.

therefore , largest area (A) of the rectangle is  = 2xy = 2 square units.

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Answer:

y=6x-1

Step-by-step explanation:

6x - y = -1

-y = -1 -6x

y = 6x+1

Answer:

y = 6x + 1

Step-by-step explanation:

hope it helps

should I show steps?

Answer:

\(81 {d}^{4} {e}^{7} \)

Step-by-step explanation:

Use properties of degrees:

1. When multiplying different degrees on one term, the degree indicators must be multiplied, for example:

\(( { {x}^{2}) }^{3} = {x}^{2 \times 3} = {x}^{6} \)

2. When dividing like terms (with the same base) with different degrees, the degree indicators must be subtracted, for example:

\( \frac{ {x}^{5} }{ {x}^{2} } = {x}^{5 - 2} = {x}^{3} \)

3. When squaring a negative term in parentheses, the minus is eliminated, for example:

\(( { - 3x})^{2} = 9 {x}^{2} \)

.

\( \frac{ {(( { - 3d})^{2} \times {e}^{4} )}^{3} }{ {9d}^{2} \times {e}^{5} } = \frac{729 {d}^{6} \times {e}^{12} }{9 {d}^{2} \times {e}^{5} } = 81 {d}^{4} \times {e}^{7} \)

The radius of Deimos to one significant digit in meters is approximately 9.4 m

.

Given the ratio of the Sun-from-Mars distance to Deimos-from-Mars distance is 365,000, the distance between Mars and Deimos can be found to bedeimos distance = Sun-Mars distance / 365,000

Next, we can find the diameter of Deimos by noting that 550 of its diameters is equal to the distance it takes to transit the shadow of Mars during a lunar eclipse.

Let's call the diameter of Deimos "d", so we can

diameter = 1/550 * deimos distance

Finally, the Sun appears about 8.4 times as large as Deimos in the Martian sky. If we call the radius of Deimos "r", then the radius of the Sun is 8.4r.

Using the information given, we can set up the following equation:

deimos distance / (3,000,000 + r) = 8.4r / (3,000,000)Simplifying and solving for r,

we get:r = 9.39 m (rounded to one significant digit)

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Interest = $85.877 x (14/100) x 4

= $85.877 x 0.14 x 4

= $48.01656

Therefore, Henstnd would have earned an interest of approximately $48.01656 in 4 years on the deposit of $85.877 in the bank account.

To calculate the interest earned by Henstnd in 4 years on a deposit of $85.877 in a bank account with a simple interest rate of 14% per annum, we can use the formula for simple interest: Interest = Principal x Rate x Time. Substituting the values into the formula, we can determine the interest earned.

Given that the principal amount is $85.877, the interest rate is 14% per annum, and the time period is 4 years, we can calculate the interest earned using the formula for simple interest: Interest = Principal x Rate x Time.

Substituting the values into the formula, we have:

Interest = $85.877 x (14/100) x 4

= $85.877 x 0.14 x 4

= $48.01656

Therefore, Henstnd would have earned an interest of approximately $48.01656 in 4 years on the deposit of $85.877 in the bank account.

It's important to note that this calculation assumes simple interest, where the interest is calculated only on the initial principal amount and does not take into account any compounding over time.

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