height of a cuboid is three-fourths of its length,breadth is 4 cm and total surface area is 608,finds the length and height of the cuboid.

Answer:

8.5 × 10^4 miles

Step-by-step explanation:

To find a difference, you must subtract.

8.8 × 10^4 - 3.0 × 10³ =

= 8.8 × 10^4 - 0.3 × 10^4

= 8.5 × 10^4

Answer: 8.5 × 10^4 miles

The scatterplot of the given data suggests a nonlinear relationship. After analyzing the curve's shape, the best mathematical model for the data is determined to be an exponential model.

To construct a scatterplot and identify the best mathematical model for the given data, we first plot the time values (x-axis) against the distance values (y-axis). The data points are (0.5, 1.2), (1, 4.9), (1.5, 10.8), (2, 19), (2.5, 29.1), and (3, 41).

Upon plotting the data, we observe that the scatterplot does not resemble a straight line, indicating that a linear model may not be the best fit. However, the scatterplot shows a curved pattern, suggesting a nonlinear relationship.

Next, we analyze the shape of the curve and consider the options of quadratic, logarithmic, exponential, and power models. Comparing the curve with each model's characteristics, we can see that the scatterplot most closely resembles an exponential growth pattern.

Therefore, the best mathematical model for the given data is an exponential model of the form y = a * e^(bx), where a and b are constants.

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The empirical probability of a successful field goal for Frieda is calculated by dividing the number of successful field goals by the total number of attempts. In this case, the number of successful field goals is 37 and the total number of attempts is 61.

Therefore, the empirical probability of a successful field goal for Frieda is 37/61, which simplifies to approximately 0.6065 or 60.65%.

Empirical probability is a statistical term that refers to the probability of an event occurring based on data collected from actual observations or experiments. In this case, the data collected is the number of successful field goals Frieda has kicked out of her total attempts. Dividing these numbers gives us the empirical probability of a successful field goal for Frieda.      

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i have this question rn please i need help by any chance if u got the answers

Step-by-step explanation:

Ahlam needs to give the shopkeeper $15 more to get a balance of $25.

Word problems in Mathematics are mathematical approaches we make use of in our ongoing day to day activities. Algebra leading to word problems usually consist of numbers, variables, and its arithmetic operations.

Ahlam bought goods worth = $90, If she gave the shopkeeper $100, then she will collect $100 - $90 = $10 back.

But if the shopkeeper did not have an exact balance and Ahlam decided to give the shopkeeper $x to get a balance of $25.

Then we can write the expression as:

10 + x = 25

x = 25 - 10

x = 15

Therefore, we can conclude that Ahlam needs to give the shopkeeper $15 more to get a balance of $25.

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Answer:

I think it's 8...

Step-by-step explanation:

8x8 = 64

since each side is the same.

sorry if I'm wrong though-

Answer: 16 cm long

Step-by-step explanation:

Since we already have given the Area of the Square i.e. 64cm²

So, putting values into the Formulae, we get-

Area of the Square = side X side

64 = 8 x 8

since the sides have to be equal because the square has 4 equal sides, we multiply it by 4, it has to be 4 x 4 = 16

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Answer:

Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.

Answer:

Step-by-step explanation:

the answer is 1

The value of the expression is 13 that is formed by subtraction .

A mathematical expression that uses integer variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).

now we use subtraction:

y-7

= 20-7

= 13

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A metric can be used to help us determine the extent of how much an outcome is achieved.

A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.

They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.

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Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.

To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:

FV = PMT * [(1 + i)^n - 1] / i

where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)

Rearrange the formula to solve for PMT:

PMT = FV * i / [(1 + i)^n - 1]

PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]

PMT ≈ 497.92

So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.

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The transformation that will move vertex B (-2,3) to (-2,5) is transforming the point B up 2 units into y axis.

Translation in geometry means moving a figure on x-y coordinate without changing it's size and shape.We can translate a triangle with given vertices by adding or subtracting values for points(x,y)

The triangle ABC has vertices  A(-1,1), B(-2,3) and C(-1,-4).

Now to transform vertex B to(-2,5) from (-2,3) we have to make a transformation of 0 units on x axis and 2 units up on y axis which is translation.

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The correct question is Triangle ABC has vertices A(-1,1), B(-2,3) and

C(-1,-4). Which composition of transformations will move vertex B to the Point(-2,5)?

Math SAT scores explain about 98.7% of the variation in the total SAT scores.

In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.

A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.

Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.

In context, math SAT score explains about 98.7% of the variation in total SAT score.

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Answer:

7

Step-by-step explanation:

Answer:

surface area≈126.65

Step-by-step explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·7+5·7+5·7+1

2·﹣54+2·(5·5)2+2·(5·5)2﹣54+2·(5·5)2﹣54≈126.65064

Given that, Andrew is fishing. If either Andrew is fishing or Ian is swimming then Ken is sleeping. If Ken is sleeping then Katrina is eating. Hence, Andrew is fishing, and Katrina is eating.We need to represent the elementary propositions in A. and B. with propositional variables.

A. Andrew is fishing. If either Andrew is fishing or Ian is swimming then Ken is sleeping. If Ken is sleeping then Katrina is eating. Hence Andrew is fishing and Katrina is eating.Let A represent that Andrew is fishing. Let I represent that Ian is swimming.Let K represent that Ken is sleeping.Let T represent that Katrina is eating.Then, the given statement can be represented as:

A → K → T

B. Andrew is fishing. If either Andrew is fishing or Ian is swimming then Ken is sleeping. If Ken is sleeping then Katrina is eating. Hence Andrew is fishing and Ian is swimming.Let A represent that Andrew is fishing.Let I represent that Ian is swimming.Let K represent that Ken is sleeping.Let T represent that Katrina is eating.Then, the given statement can be represented as: A ∨ I → K → T

Therefore, the elementary propositions in A. and B. with propositional variables are:

In A: A → K → TIn B: A ∨ I → K → T

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Step-by-step explanation:

a general line equation is

y = ax + b

the slope of a line is always the factor of x (a).

it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, here it is -5/4.

it says, when x changes by +4, then y changes by -5.

a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.

and we get it by using the point coordinates in the equation and then solve for b :

1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b

b = -4

so, the full equation of the parallel line is

y = -5/4x - 4

An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.

To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:

θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.

Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.

To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.

θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad

To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds

The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.

This is very small and would require a large telescope to achieve.

In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

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Answer:

c.) a text poll provided during a nightly news broadcast

Step-by-step explanation:

Correct on Edge for Statistics class

The option C. a text poll provided during a nightly news broadcast is a method which would provide a voluntary response sample.

Sampling methods are the methods used to select a random sample from a big population.

Common methods of selecting samples are voluntary response sample, convenience sample, simple random sample, stratified random sample, cluster random sample and systematic random sample.

In voluntary response sample, sample is selected by putting a request for the population members to join the sample. It is the people who are the members of the population decide to join the sample or not.

In the option A, a survey of adults leaving a movie theater, people does not have an option to join or not. All the adults are joining for the sample which is not a voluntary response sample.

In the option B, all students are being surveyed, which is also not a voluntary response sample.

In the option C, people are deciding whether to poll or not which is a voluntary response sample.

In the option D, survey includes all the 10th people leaving the shopping mall, which is also not voluntary response sample.

Hence the method which would provide voluntary response sample is a text poll provided during a nightly news broadcast.

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Sweety bought enough bottles of sports drink to fill a big cooler for the skateboard team. It toom 25. 5 bottles to fill the cooler and each bottle contained 1. 8 liters. There are 46.8 litres in cooler.

To find the number of liters in the cooler, we need to multiply the number of bottles by the amount of liquid in each bottle. Given that it took 25.5 bottles to fill the cooler and each bottle contains 1.8 liters, we can find the total amount of liquid in the cooler by multiplying these two values together.

First, let's round the number of bottles to the nearest whole number, which is 26.

To calculate the total amount of liquid in the cooler, we multiply the number of bottles by the amount of liquid in each bottle:

26 bottles * 1.8 liters/bottle = 46.8 liters

Therefore, there are 46.8 liters in the cooler.

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Answer:

yes

Step-by-step explanation:

Considering the equations for the length of each segment, the numerical length of line ln is of 17 units.

Line segment ln is divided by the point m, hence the length of the line can be written according to the following equation:

ln = lm + mn.

The measures are given as follows:

Hence, using the equation we can solve for x, as follows:

ln = lm + mn.

4x + 9 = 2x + 7 + 3x

5x + 7 = 4x + 9

x = 2.

Hence the numerical length of line ln is given by:

ln = 4x + 9 = 4(2) + 9 = 8 + 9 = 17 units.

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The eigenvalues of A are λ = 0 (with multiplicity 1) and λ = 5 (with multiplicity 2), and the corresponding eigenvectors are [1, 0, -1], [0, 1, -1], and [1, -1, 1].

The matrix A = [5 5 5; 5 5 5; 5 5 5] is a 3x3 matrix with all entries equal to 5.

First, we can calculate the determinant of A - λI, where I is the identity matrix and λ is an unknown eigenvalue:

A - λI = [5-λ 5 5; 5 5-λ 5; 5 5 5-λ]

det(A - λI) = (5-λ)[(5-λ)(5-λ)-25] - 5[5(5-λ)-25] + 5[5-25]

= (5-λ)(λ^2 - 15λ) = -λ(λ-5)^2

From this equation, we can see that the eigenvalues are λ = 0 and λ = 5 (with multiplicity 2).

To find the eigenvectors, we can substitute each eigenvalue into the equation (A - λI)x = 0 and solve for x.

For λ = 0, we have:

A - 0I = A = [5 5 5; 5 5 5; 5 5 5]

(A - 0I)x = 0x = [0 0 0]

This implies that any vector of the form [a, b, -a-b] is an eigenvector for λ = 0. For example, we can choose [1, 0, -1] and [0, 1, -1] as linearly independent eigenvectors corresponding to λ = 0.

For λ = 5, we have:

A - 5I = [0 5 5; 5 0 5; 5 5 0]

(A - 5I)x = 0

⇒ 5x2 + 5x3 = 0

⇒ 5x1 + 5x3 = 0

⇒ 5x1 + 5x2 = 0

This implies that any vector of the form [1, -1, 1] is an eigenvector for λ = 5. Therefore, we can choose [1, -1, 1] as another linearly independent eigenvector corresponding to λ = 5.

Eigenvectors are a fundamental concept in linear algebra. They are essentially special vectors that remain in the same direction when a linear transformation is applied to them, only changing in magnitude. In other words, an eigenvector of a linear transformation is a vector that when multiplied by the transformation matrix, results in a scalar multiple of itself.

Eigenvectors play a crucial role in diagonalizing matrices, which can simplify calculations involving matrix operations. They are also useful for solving differential equations and understanding the behavior of dynamic systems. In addition, eigenvectors are often used for data analysis, such as in principal component analysis (PCA), which is a technique for reducing the dimensionality of data.

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Answer:

SSS congruency is when you know that the two triangle you want to compare's sides have the same length. Since they have the same length, they are congruent. SAS congruency stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal.

Answer:

43.96

Step-by-step explanation:

14 x 3.14 = 43.96

7 is the radius but 14 is the like line and to find it you add 7 plus 7 (aka the other half) and multiply it by 3.14 thus the answer is

43.96

Answer:

B

Step-by-step explanation:

C = d x pi

Since the radius is half of the diameter, we have to multiply 7 and 2 which would give us 14. After that, we multiply 14 and 3.14 which gives us 43.96 in.

The approximate percent decrease in the number of customers from Saturday to Sunday is 33%. Therefore, the answer is option A: 33%

To find the approximate percent decrease in the number of customers from Saturday to Sunday, we first need to calculate the decrease in the number of customers:

Decrease = Saturday customers - Sunday customers

Decrease = 135 - 90

Decrease = 45

The percent decrease can be found by taking the decrease as a percentage of the original value (Saturday customers):

Percent decrease = (Decrease / Saturday customers) x 100%

Percent decrease = (45 / 135) x 100%

Percent decrease = 33.33%

Rounding to the nearest percent, we get that the approximate percent decrease in the number of customers from Saturday to Sunday is 33%. Therefore, the answer is option A: 33%.

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Your question is incomplete, but probably the complete question is :

You work as a cashier in a supermarket. On Saturday, you had 135 customers. On Sunday, you had 90 customers. What is the approximate percent decrease in the number of customers from Saturday to Sunday?

33%

45%

50%

90%

225%