ben exercises every 12 days and isabella every 8 days. both isabella and ben exercised today. how many days till they exercise together again?

The distance between the points (3,-2) and (3,5) is 9.4, rounded to the nearest tenth. The distance between two points can be found using the distance formula, which states that the distance between the points (x1,y1) and (x2,y2) is:

√((x2 - x1)^2 + (y2 - y1)^2)

In this case, the points are (3,-2) and (3,5), so the distance formula becomes:

√((3 - 3)^2 + (5 - (-2))^2)

= √((0)^2 + (7)^2)

= √(49)

= 7.0

To the nearest tenth, the distance is 7.0.

The distance formula uses the Pythagorean theorem to calculate the distance between two points. In this case, the two points are (3,-2) and (3,5), which means that the x-coordinates are the same but the y-coordinates are different.

When we plug these values into the distance formula, we get √((0)^2 + (7)^2), which is equal to √(49) = 7.0.

To the nearest tenth, the distance is 7.0.

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The amount of salt in the tank after 10 minutes is 4.5 lbs.

The initial amount of salt in the tank is 100 * 0.05 = 5 lbs.

The amount of salt that leaves the tank each minute is 2 * 0.05 = 0.1 lbs.

The amount of salt that enters the tank each minute is 0 lbs.

Therefore, the net amount of salt in the tank is decreasing by 0.1 lbs per minute.

If we let t be the number of minutes, then the amount of salt in the tank at time t is given by

salt = 5 - 0.1t

To find the amount of salt in the tank after 10 minutes, we can set t = 10 and evaluate the expression. This gives us

salt = 5 - 0.1 * 10 = 4.5 lbs

Therefore, the amount of salt in the tank after 10 minutes is 4.5 lbs.

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Answer:

2

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

3+5=8

8÷4=2

The present age of George is 25 years and the present age of Harry is 17 years

For given question,

Let x be the age of George and y be the age of Harry.

George is now 8 years older than harry.

So, we get an equation,

x = y + 8                      ...................(1)

After 5 years the age of George will be x + 5 and the age of Harry will be    y + 5

Two years ago the age of Harry = y - 2

In 5 years George will be twice as Harry was 2 years ago.

So we get an equation,

x + 5 = 2(y - 2)                ..............(2)

Substitute the value of x in equation (2)

⇒ x + 5 = 2(y - 2)  

⇒ y + 8 + 5 = 2y - 4

⇒ y + 13 = 2y - 4

⇒ y = 17

Substitute the above value of y in equation (1)

⇒ x = 17 + 8

⇒ x = 25

Therefore, the present age of George is 25 years and the present age of Harry is 17 years

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Answer: There were 50 marbles in box A, and 40 in box B.

Step-by-step explanation:

90 divided by 2 is 45, so each box would have to end up with 45 marbles. 5 were transferred between the 2, from A to B, which means A had more originally.

Answer: Hope this helps!

Step-by-step explanation:

90 marbles

Box A 50

Box B 40

So if 5 from Box A were moved to Box B they would each have 45 marbles!

45+45=90

The total mass of the lamina is 49√85.

The total mass of a lamina that has the shape of a triangle with vertices at (-7, 0), (7, 0), and (0, 6) with a density of ρ = 7 is found using the formula below:

\[m = \rho \times A\]Where A is the area of the triangle.

The area of the triangle is given by: \[A = \frac{1}{2}bh\]where b is the base of the triangle and h is the height of the triangle. Using the coordinates of the vertices of the triangle, we can determine the base and height of the triangle.

\[\begin{aligned} \text{Base }&= |\text{x-coordinate of }(-7, 0)| + |\text{x-coordinate of }(7, 0)| \\ &= 7 + 7 \\ &= 14\text{ units}\end{aligned}\]\[\begin{aligned} \text{Height }&= \text{Distance between } (0, 6)\text{ and }(\text{any point on the base}) \\ &= \text{Distance between } (0, 6)\text{ and }(7, 0) \\ &= \sqrt{(7 - 0)^2 + (0 - 6)^2} \\ &= \sqrt{49 + 36} \\ &= \sqrt{85}\text{ units}\end{aligned}\]

Therefore, the area of the triangle is:\[\begin{aligned} A &= \frac{1}{2}bh \\ &= \frac{1}{2}(14)(\sqrt{85}) \\ &= 7\sqrt{85}\text{ square units}\end{aligned}\]

Substituting the value of ρ and A into the mass formula gives:\[m = \rho \times A = 7 \times 7\sqrt{85} = 49\sqrt{85}\]

Hence, the total mass of the lamina is 49√85.

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Mark and Henry have a ratio of 1:4 so there are 5 parts in total. We can conclude each ratio is $5 each since 25/5 is 5. Hence:

Mark - $5

Jume - $45

Henry - $20

Answer:

5/3

Step-by-step explanation:

image/pre-image

15/9 simplified is equal to 5/3 which is the scale factor

Finding the area under a curve using technology requires knowledge of calculus or a graphing calculator with a built-in integral function.

We can use either method to find the area between the edge of the garden bed and the side of the house.

To find the area between the edge of the garden bed and the side of the house, we need to integrate the function that represents the distance between the two. In this case, the distance between the edge of the garden bed and the side of the house is given by the equation y = x + 1.

To integrate this function, we can use calculus or a graphing calculator with a built-in integral function. Calculus involves finding the antiderivative of the function, while a graphing calculator can use numerical methods to approximate the integral.

If using a graphing calculator, we can graph the function y = x + 1 and then use the integral function to find the area between the curve and the x-axis. The result will be the area between the edge of the garden bed and the side of the house, which can be used to calculate the amount of mulch needed for the job.

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Answer:

0.8809 = 88.09% probability the ships will sail full.

Step-by-step explanation:

What is the probability the ships will sail full?

0.75 of 0.23(dollar appreciating)

0.92 of 1 - 0.23 = 0.77(dollar not appreciating). So

\(p = 0.75*0.23 + 0.92*0.77 = 0.8809\)

0.8809 = 88.09% probability the ships will sail full.

Answer:

buss stop 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Amanda does start with 30 homework questions

She does complete 3 questions every 2 minutes

After 10 minutes she has completed half of her questions

But she does not finish 2 questions every 3 minutes

hope this helps <3

The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.

Qualitative data describes qualities or characteristics. It is collected using questionnaires, interviews, or observation, and frequently appears in narrative form. For example, it could be notes taken during a focus group on the quality of the food at Cafe Mac, or responses from an open-ended questionnaire. Qualitative data may be difficult to precisely measure and analyze. The data may be in the form of descriptive words that can be examined for patterns or meaning, sometimes through the use of coding. Coding allows the researcher to categorize qualitative data to identify themes that correspond with the research questions and to perform quantitative analysis.

Quantitative data is numbers-based, countable, or measurable. Quantitative data is numeric, the result of a measurement, count, or some other mathematical calculation. Qualitative data is descriptive. The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.

The seven characteristics that define relational database are:

Accuracy and Precision

Legitimacy and Validity

Reliability and Consistency

Timeliness and Relevance

Completeness and Comprehensiveness

Availability and Accessibility

Granularity and Uniqueness

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The value of x in the given triangle is 36.87°.

One of the six functions in mathematics is the trigonometric function (sine [sin], cosine [cos], tangent [tan], cotangent [cot], secant [sec], and cosecant [csc]) In trigοnοmetry, sin cοs and tan values are the primary functiοns we cοnsider while sοlving trigοnοmetric prοblems. These trigοnοmetry values are used tο measure the angles and sides οf a right-angle triangle. Apart frοm sine, cοsine and tangent values, the οther three majοr values are cοtangent, secant and cοsecant.

According to Trigonometric function,

Tan θ = Opposite side/Adjacent side

Therefore,

Tan θ = 6/8

θ = arctan(6/8)

θ ≈ 36.87°

This is simplest way to calculate, there is no other way to calculate.

Thus, the value of x in the given triangle is 36.87°.

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Answer:

\( {x}^{2} - 72 = 0\)

Step-by-step explanation:

\(the \: standard \: form \: a \: quadratic \: equation \:\\ is \:a {x}^{2} + bx + c = 0 \\ \therefore \: {x}^{2} - 20 = 52 \\ {x}^{2} - 20 - 52 = 0 \\ {x}^{2} - 72 = 0\)

A z-score, also known as a standard score, is a measure of how many standard deviations an individual data point is away from the mean of a distribution.

a) To determine whether the design criterion is satisfied using Chebyshev's inequality, we can apply the formula:

P(|X - μ| ≤ kσ) ≥ 1 - 1/k²Where:

P is the probability

X is the random variable (in this case, the exam grade)

μ is the mean (77%)

σ is the standard deviation (square root of the variance, which is √9% = 3%)

Let's calculate the probability of an exam grade being within 4.5% of the mean:

P(|X - 77| ≤ 0.045 * 77) ≥ 1 - 1/(0.045)²

P(|X - 77| ≤ 3.465) ≥ 1 - 1/0.002025

P(|X - 77| ≤ 3.465) ≥ 1 - 494.382

P(|X - 77| ≤ 3.465) ≥ -493.382

The inequality states that the probability of an exam grade being within 4.5% of the mean is greater than or equal to -493.382. Since probabilities are always between 0 and 1, this inequality does not hold. Therefore, the design criterion is not satisfied using Chebyshev's inequality.

b) If we assume that the retrieval time is normally distributed with a mean of 77% and a variance of 9%, we can use the properties of the normal distribution to determine if the design criterion is satisfied.

To find the probability of an exam grade being within 4.5% of the mean, we need to calculate the z-scores corresponding to the lower and upper limits of the range.

For the lower limit:

z_lower = (x_lower - μ) / σ

= (77 - 77) / √9

= 0

For the upper limit:

z_upper = (x_upper - μ) / σ

= (77 + 4.5 - 77) / √9

= 0.5 / 3

= 0.1667

Using a standard normal distribution table or calculator, we can find the area under the curve between

z = 0 and

z = 0.1667.

The probability of the exam grade falling within this range is the difference between the cumulative probabilities at these two z-values.

P(|X - 77| ≤ 4.5%) = P(0 ≤ Z ≤ 0.1667)

From the standard normal distribution table, the probability for this range is approximately 0.0659. Since this probability is less than the desired probability of 90%, the design criterion is not satisfied if the retrieval time is normally distributed with a mean of 77% and a variance of 9%

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The criterion requires at least 90% of the data to fall within 4.5% of the mean, which is within 1.5 standard deviations, we can see that the design criterion is satisfied.

a) Chebyshev's inequality is a mathematical formula that can be used to establish the proportion of data that falls within a certain number of standard deviations from the mean. According to Chebyshev's inequality, at least (1 - 1/\(k^2\)) of the data lies within k standard deviations of the mean, where k is any positive number greater than 1.
In this case, the criterion requires that at least 90% of all Probability Final Exams not differ from the mean by more than 4.5%. This means that we need to find the value of k such that at least 90% of the data falls within k standard deviations of the mean.
To do this, we can use Chebyshev's inequality. Since we know the variance is 9%, the standard deviation is the square root of the variance, which is √9 = 3.
Let's calculate the value of k:
k = (4.5/3) = 1.5
Now, we can use Chebyshev's inequality to determine the proportion of data that falls within 1.5 standard deviations of the mean:
(1 - 1/\(k^2\)) = (1 - 1/\(1.5^2\)) = (1 - 1/2.25) = (1 - 0.4444) = 0.5556
So, according to Chebyshev's inequality, at least 55.56% of the data falls within 1.5 standard deviations of the mean. Since this is less than the required 90%, the design criterion is not satisfied.

b) If it were known that the retrieval time is normally distributed with a mean of 77% and a variance of 9%, we can use the properties of the normal distribution to determine if the design criterion is satisfied.
In a normal distribution, approximately 68% of the data falls within 1 standard deviation of the mean, 95% falls within 2 standard deviations, and 99.7% falls within 3 standard deviations.

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Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

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Answer:

the cost is now $5.40

Step-by-step explanation:

if 18.00 is 100%, and we need to find the new price we need to make 30% into a decimal. which is 0.3. then we multiply 0.3 times 18.00, and that equals 5.4, but since we are dealing with money the answer would be $5.40.

we multiply if we are trying to find the new amount and we divide to find the old amount.

Answer:

A. the domain is all real numbers. and

B.the y-intercept is 3

Answer:

x = 57.2 ft

Step-by-step explanation:

cos 5° = 57/x

0.9962 = 57/x

x = 57.2 ft

Answer:

The answer is three quarters, one nickel's dime, and a penny!

Step-by-step explanation:

Answer:

Dime- 4

Penny- 1

Half Dollar- 1

Step-by-step explanation:

A dollar is 100 cents and you have 91

91- 50 (half dollar)= 41

41- 1 (one penny)= 40

40- 40 (4 dimes)= 0

The products of the polynomials are:

To do this, we multiply each pair of polynomial as follows:

Pair 1: (xy + 9y + 2) and (xy – 3)

(xy + 9y + 2) * (xy - 3)

Expand

(xy + 9y + 2) * (xy - 3) = x²y² - 3xy + 9xy² - 27y + 2xy - 6

Evaluate the like terms

(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6

Pair 2: (2xy + x + y) and (3xy² - y)

(2xy + x + y) * (3xy² - y)

Expand

(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²

Pair 3: (x – y) and (x + 3y)

(x - y) * (x + 3y)

Expand

(x - y) * (x + 3y) = x² + 3xy - yx + 3y²

Evaluate the like terms

(x - y) * (x + 3y) = x² + 2xy + 3y²

Pair 4: (xy + 3x + 2) and (xy – 9)

(xy + 3x + 2) * (xy – 9)

Expand

(xy + 3x + 2) * (xy – 9)  = x²y² - 9xy + 3x²y - 27x + 2xy - 18

Evaluate the like terms

(xy + 3x + 2) * (xy – 9)  = x²y² - 7xy + 3x²y - 27x  - 18

Pair 5: (x² + 3xy - 2) and (xy + 3)

(x² + 3xy - 2) * (xy + 3)

Expand

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 9xy - 2xy - 6

Evaluate the like terms

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 7xy - 6

Pair 6: (x + 3y) and (x – 3y)

(x + 3y) * (x – 3y)

Apply the difference of two squares

(x + 3y) * (x – 3y) = x² - 9y²

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Answer:

"All right, isoceles triangles are special right triangles."

yes it agree this statement. as in right isosceles triangle always two angles are 45 and remaining 90.

Bayes' rule involves three main elements:

Prior Probability: The prior probability represents our initial belief or knowledge about the probability of an event or hypothesis before considering any new evidence. It is typically denoted as P(H), where H represents the hypothesis or event. The prior probability is based on previous experience, background information, or subjective assessments.

Likelihood of the Evidence: The likelihood is the probability of observing the given evidence (E) assuming that the hypothesis (H) is true. It is denoted as P(E|H), where P(E|H) represents the probability of the evidence E given the hypothesis H. The likelihood quantifies how well the hypothesis explains the observed data or evidence.

Posterior Probability: The posterior probability represents the updated probability of the hypothesis or event given the observed evidence. It is denoted as P(H|E), where P(H|E) represents the probability of the hypothesis H given the evidence E. The posterior probability is the main result of applying Bayes' rule and combines the prior probability with the likelihood of the evidence.

Mathematically, Bayes' rule is expressed as:

P(H|E) = (P(E|H) * P(H)) / P(E)

Here, P(H|E) is the posterior probability, P(E|H) is the likelihood, P(H) is the prior probability, and P(E) is the probability of the evidence.

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Bayes' rule involves three main elements:

Prior Probability:

The prior probability represents our initial belief or knowledge about the probability of an event or hypothesis before considering any new evidence. It is typically denoted as P(H), where H represents the hypothesis or event.

The prior probability is based on previous experience, background information, or subjective assessments.

Likelihood of the Evidence:

The likelihood is the probability of observing the given evidence (E) assuming that the hypothesis (H) is true. It is denoted as P(E|H), where P(E|H) represents the probability of the evidence E given the hypothesis H.

The likelihood quantifies how well the hypothesis explains the observed data or evidence.

Posterior Probability:

The posterior probability represents the updated probability of the hypothesis or event given the observed evidence. It is denoted as P(H|E), where P(H|E) represents the probability of the hypothesis H given the evidence E.

The posterior probability is the main result of applying Bayes' rule and combines the prior probability with the likelihood of the evidence.

Mathematically, Bayes' rule is expressed as:

P(H|E) = (P(E|H) * P(H)) / P(E)

Here, P(H|E) is the posterior probability, P(E|H) is the likelihood, P(H) is the prior probability, and P(E) is the probability of the evidence.

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Answer: 40

Step-by-step explanation:

The angles form a straight angle, so y = 180 - 80 - 60 = 40.

Answer:

Step-by-step explanation:

y = (a-3)x+5

Answer:    

y=3x+5

Step-by-step explanation:

Answer:

20/3 batches of cookies can be made with 5 pounds of flour.

Step-by-step explanation:

given-

A recipe calls for 3/4 of a pound of flour to make 1 batch of cookies

asking-how many batches of cookies can be made with 5 pounds of flour

3/4 pound of flour=> 1 batch of cookies

then,

1 pound of flour=> 4/3 batch of cookies

so, required answer---

5 pound of flour=>5*( 4/3) batch of cookies

  =>20/3=6.66  batch of cookies

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Dividend must be put in AX register when using DIV or IDIV.  True.

In x86 assembly language, the DIV instruction is used for unsigned division, and the IDIV instruction is used for signed division. Both instructions require the dividend to be placed in the AX register.

The AX register is a 16-bit general-purpose register in the x86 architecture. It stands for "accumulator" and is commonly used for arithmetic operations. When using the DIV or IDIV instructions, the dividend value should be loaded into the AX register before executing the instruction.

The DIV instruction divides the contents of the AX register by the specified divisor, and the quotient is stored in the AX register. The remainder of the division operation is stored in the DX register.

Similarly, the IDIV instruction performs signed division. The contents of the AX register (the dividend) are divided by the specified divisor, and the signed quotient is stored in the AX register. The remainder is stored in the DX register.

By placing the dividend in the AX register, the DIV or IDIV instructions know where to find the value to be divided and where to store the result of the division operation. This ensures that the division operation is performed correctly and the resulting quotient or remainder is properly handled.

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