Mr. and Mrs. Barnes budget to spend $350 on a coat, shoes, and a television at a department store. The table shows how much Mr. and Mrs. Barnes would spend if they buy all the items.

By evaluating the expression in y = 5 we will see that the depth after 5 minutes is -165 ft. (or 165 feet below sea level).

We know that the expression:

-230 + 13*y

Represents the depth of the submarine as a function of time. Then y is the time in minutes, so we can write:

depth = -230 + 13*y

To get the depth after 5 minutes, just replace the variable y by the number 15, then you will get:

depth = -230 + 13*5

depth = -230 + 65

depth = -165

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a) The coordinates of G are (3, -4)

b) The name of the line through G and E is y = (-3/2)x + 13/2

(a) Since the line x=1 is a line of symmetry for triangle EFG, we know that G must lie on the same line of symmetry, and hence its x-coordinate should be reflected across the line x=1 from the x-coordinate of E.

The x-coordinate of E is 5, so the x-coordinate of G should be 5-2=3. That is, G has an x-coordinate of 3.

Similarly, since the line x=1 is a line of symmetry, the y-coordinate of G should be the same as the y-coordinate of F, which is -4. Therefore, G has a y-coordinate of -4.

Thus, the coordinates of G are (3, -4).

(b) To find the name of the line through G and E, we can first calculate the slope of the line:

slope = (y2 - y1)/(x2 - x1) = (-4 - 2)/(3 - 5) = -3/2

The line through G and E has a slope of -3/2.

Next, we can use the point-slope form of the equation of a line to find the equation of the line. We can use either point E or point G to write the equation, but it might be easier to use point G since we have already calculated its coordinates.

Using point-slope form with point G and the slope -3/2, we get:

y - (-4) = (-3/2)(x - 3)

Simplifying and rearranging, we get:

y = (-3/2)x + 13/2

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Jimena tiene 8 años de edad.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Sean , , las edades de Jimena, su padre y su madre. A continuación, traducimos cada oración relevante del enunciado a expresiones matemáticas:

(i) Si su papá tiene 27 años más que Jimena:

y = x+27 (1)

(ii) Su mamá tiene 34 años:

x = 34 (2)

(iii) La suma de las tres edades es igual a la diferencia de 10 veces la edad de Jimena, menos 3 años:

x+y+z = x-3 * 10 (3)

Al aplicar (1) y (2) en (3), tenemos la siguiente ecuación resultante:

x = 8

Jimena tiene 8 años de edad.

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Answer:

Figure B

Step-by-step explanation:

A translation is when you move every point of a figure in the same direction and same distance. It must retain the original shape of the figure and be superimposable. Figure C is a reflection, not a translation.

The value of x in the triangle is 3.4 cm

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

The triangle

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

tan(43) = 3.2/x

Make x the subject of the formula

So, we have the following representation

x = 3.2/tan(43)

Evaluate

x = 3.4

Hence, the solution is 3.4

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Table A is representing  a function, and Table B does not represent a function.

What is function?

Function, can be stated as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

When a Table needs to be a function, it need to satisfy following conditions (look at the .jpeg image attached with this answer):

1. condition: every image has its pre-image,

in other words, In first circle, EVERY element has to be connected with SOME of the elements in second circle

2. condition: every image has only on pre-image.

in other words, In first circle, there MUSTN'T be an element that has MORE THAN ONE connection with elements in second circle

Table A satisfies BOTH of these conditions; that is why table A is indeed a function.

Table B satisfies FIRST condition but it does not satisfy the SECOND condition, that is why it is NOT a function.

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The 7th term of the arithmetic sequence -3x+5, 2x+3, 7x+1, ... is: 27x-7.

To find the 7th term of the arithmetic sequence, we need to first determine the common difference between the terms. We can do this by subtracting the first term from the second term:

(2x+3) - (-3x+5) = 5x - 2

This means that the common difference between the terms is 5x - 2. Now, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Where an is the nth term, a₁ is the first term, n is the term number, and d is the common difference. Plugging in the values we have:

a₇ = (-3x+5) + (7 - 1)(5x - 2)

Simplifying the equation:

a₇ = -3x + 5 + 30x - 12

a₇ = 27x - 7

Therefore, the 7th term of the arithmetic sequence is 27x - 7.

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Answer:

Anything.

Step-by-step explanation:

The reason why I say " anything " is because the fraction, [tex]\frac{1}{1}[/tex] is bascially representing the number 1, nothing else so you can put whatever you want, tens, hundreds, thousands, millions, and so on.

So whatever number you want to put it will always equal, [tex]\frac{1}{1}[/tex], But just remember to always put the number that you choose on top or the numerator such as the following:

[tex]\frac{4}{1}[/tex].

Thus, you answer is, anything.

Division by -2

The properties of equality allow us to manipulate equations in order to solve for a variable.

Properties of Equality

The properties of equality, also referred to as PoEs, describe how an equation can be changed while remaining true. There are numerous PoEs such as the reflexive, substitution, and addition properties of equality. However, for the purposes of this question, the most important is the division property of equality. The division property of equality states that if both sides of an equation are divided by the same number, the equation is still true. In other terms:

Solving for a Variable

To find an unknown variable, we need to isolate the variable. This means using the properties of equality and other techniques to get the variable all by itself on one side of the equation. To isolate j, we need to divide both sides of the equation by -2. This will isolate j and maintain equality as shown by the division property of equality.

By dividing both sides by -2, we can see that j = -15/2.

Answer: Cry 8374629173

Step-by-step explanation: Cry like 2734295

Answer: DBSB272 PONTA DEM

Step-by-step explanation: Find a answer

The required simplified value of the given expression [tex]\dfrac{2^{3x+1}-2^{3x}}{4*2^{3x - 1}}[/tex] is 1/2.

A rational expression is a mathematical expression that is the ratio of two polynomial expressions. That is, a rational expression is formed by dividing one polynomial expression by another polynomial expression.

Here,
Given expression,
[tex]=\dfrac{2^{3x+1}-2^{3x}}{4*2^{3x - 1}}[/tex]

Rewriting the equation by splitting the terms in numerator and denominator in order to take common terms out and make the expression more simple.

We can write [tex]2^{3x+1} = 2^{3x} * 2[/tex] and [tex]2^{3x-1} = 2^{3x} /2[/tex] so,

Given expression becomes, hence cancel the common terms.
[tex]=\dfrac{2^{3x}*2-2^{3x}}{4*2^{3x}/2}\\=1/2[/tex]

Thus, the required simplified value of the given expression [tex]\dfrac{2^{3x+1}-2^{3x}}{4*2^{3x - 1}}[/tex] is 1/2.

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A probability model gives information about the likelihood of different outcomes of a random event or experiment.

A probability model is a mathematical tool used to describe the likelihood of different outcomes in a random event or experiment. It provides information about the distribution of probabilities associated with the different possible outcomes, and can be used to make predictions about the likelihood of specific events occurring.

Probability models can be simple or complex, depending on the nature of the event or experiment being modeled, and can be used to make predictions in a wide range of fields, from finance to physics. By providing a framework for understanding the distribution of probabilities associated with different outcomes, probability models allow us to make informed decisions and assess risk in a variety of contexts.

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Answer:

g(x) = 5^3x is a horizontal stretch of a factor of 3. g(x)= 1/3(5)^x is a vertical stretch of a factor of 3. g(x) = 5^1/3x is a vertical compression of a factor of 1/3. g(x) = 3(5)^3 is a horizontal compression of a factor of 1/3.

Answer:

C. $5,400 per year.

Step-by-step explanation:

Average rate of change = ($112,000 - $85,000) / 5 = $27,000 / 5 = $5,400 per year

Answer:

5. 2

15. 6

30. 12

Step-by-step explanation:

For every 5 miles walked, he walks for 2 hours each.

For example:

Miles. Hours

5. 2

10. 4

15. 6

20. 8

25. 10

30. 12

The required solutions to the equation are x = 2 or x = -14.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Starting with the equation:

(x + 6)² = 64

Taking the square root of both sides, we get:

x + 6 = ±8

Solving for x, we have two cases:

Case 1:
x + 6 = 8

x = 8 - 6

x = 2

Case 2:
x + 6 = -8

x = -8 - 6

x = -14

Therefore, the solutions to the equation are x = 2 or x = -14.

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The required surface area of the soup can which is in cylindrical shape and needs to be painted is approx 494.55 cm².

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid.

It is regarded as a prism with a circle as its base in basic geometry.

In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

Often, the bases are shaped like circles.

The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

So, the surface area of the soup can that needs to be painted will be:

Surface area formula: 2πrh+2πr²

Now, insert values as follows:

A = 2πrh+2πr²

A = 23.14*4.5*13+2*3.14*4.5²

A = 494.8 cm²

Therefore, the required surface area of the soup can which is in cylindrical shape and needs to be painted is approx 494.55 cm².

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Correct question:

Jacque is using a soup can for a school project and wants to paint it. If the can is 13 cm tall and has a diameter of 9 cm, at least how many square centimeters of paint is needed? Approximate using π = 3.14 and include the top of the soup can.

A. 826.61 cm2

B. 494.55 cm2

C. 390.15 cm2

D. 144.50 cm2

Answer:

Step-by-step explanation:

answet 494.55

Answer:

The vertical height above the runway to the nearest foot is 580 feet.

Step-by-step explanation:

The vertical height is opposite the angle 75 degrees, and the hypotenuse is 600 ft. The trigonometric function sine will be used since sine = opposite/hypotenuse and we're solving for the opposite side and have the hypotenuse.

Let x be the vertical height.

[tex]\frac{sin(75)}{1} = \frac{x}{600}[/tex]

x = sin(75) * 600

x = 579.555495773

The question is asking for the vertical height rounded to the nearest foot, which is 580.

So, in response to the above question, we can state that As a result, equation Alden paid interest of $816.75 for the month of January.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

We must first estimate the monthly mortgage payment using the monthly mortgage payment table in order to compute the amount of interest paid for the month of January.

The table shows that the monthly payment per $1,000 borrowed for a 30-year loan at 4% interest is $4.77. So, the following formula may be used to determine Alden's mortgage payment each month:

$275,000 / $1,000 = 275

$275 x $4.77 = $1,311.75 (monthly mortgage payment) (monthly mortgage payment)

Alden's January mortgage payment included $495 towards the principle, with the balance going to interest. The amount of interest paid can be determined as follows:

$1,311.75 - $495 = $816.75

As a result, Alden paid interest of $816.75 for the month of January.

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Fraction of the volume of the cone = 1/4 0r 0.25

A cone is a solid that has a circular base and a single vertex.

To calculate its volume, you need to multiply the base area (area of a circle: π × r²) by height and by 1/3:

volume = (1/3) × π × r² × h

Volume of the cone using radius 12inches and height 8inches =

(1/3) × π × 12² × 8

= 0.6981inches³

Volume of the cone using radius 12inches and height 2inches =  

(1/3) × π × 12² × 2

= 0.17453inches³

in order to find the fraction filled with water, we use the

Volume of 2inches/Volume of 8 inches.

0.17453/0.6981

= 0.25 or 1/4

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Answer:

Exponential decay by 9% each cycle (n).

Step-by-step explanation:

The function y = 51(0.91)^n is an exponential decay function.  The term (0.91) is less than 1, so when multiplied by anything, the result will be less than the original number, by 9% [(100-91)/100].  The power n, represents the number of cycles (e.g., days, minutes, years, seconds, etc.).  Each succeeding cycle reduces the previous number by the same amount of (0.91).  

See the attached graph.

A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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Answer:

1y is your answer, 1:y

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think it could be any number only if they gave you the number for y

From the given information provided, out of total sodas served, 42% of the sodas served were regular.

To find the percentage of sodas served that were regular, we need to calculate the ratio of the number of regular sodas to the total number of sodas served, and then express this ratio as a percentage.

The total number of sodas served is the sum of regular and diet sodas:

Total sodas served = 21 + 29 = 50

The number of regular sodas served is 21.

To find the percentage of sodas served that were regular, we can use the following formula:

Percentage of regular sodas = (Number of regular sodas / Total number of sodas served) x 100%

Substituting the values, we get:

Percentage of regular sodas = (21 / 50) x 100%

Percentage of regular sodas = 42%

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When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.

We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.

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Trigonometry equation solver is used to solve mathematical expression with an equality between two elements containing unknown variables and trigonometric functions.

The relationships between the lengths and angles of triangles' sides are the subject of this area of mathematics. A trigonometric equation is one that has one or more ratios of unknown trigonometric angles. The ratios of sine, cosine, tangent, cotangent, secant, and cosecant angles are used to express it.

A trigonometric equation is cos2 x + 5 sin x = 0, for instance. The term "solutions of the given trigonometric equation" refers to all feasible values that fulfil the given trigonometric equation.

sin²A + cos²A = 1

sec²A – tan²A = 1

cosec²A – cot²A = 1

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The area of the rectangle is 23.375 sq feet.

What is area of rectangle ?
The area of a rectangle is the product of its length and width. It is a measure of the region enclosed by the rectangle. In the context of geometry, the area is expressed in square units, such as square inches, square feet, or square meters.

Given by the question:
To find the area of the rectangle, we need to multiply the length and width.

Length = 2 3/4 feet = 11/4 feet

Width = 8 1/2 feet = 17/2 feet

Area = Length x Width

Area = (11/4) x (17/2)

Area = 93.5/4 sq feet

So the area of the rectangle is 23.375 sq feet (when rounded to three decimal places).

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The median of the data is approximately 1.43 meters.

Brief informative coefficients known as descriptive statistics are used to sum up a particular data set, which may be a sample of a population or a representation of the complete population. Measures of central tendency and measurements of variability make up descriptive statistics (spread). The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

KEY LESSONS

The properties of a data collection are summed up or described using descriptive statistics.

Measures of central tendency, measures of variability (or spread), and measures of frequency distribution make up the three fundamental kinds of measures in descriptive statistics.

The center of the data set is described by measures of central tendency (mean, median, mode).

To find the median of a set of data, we need to first arrange the data in order from least to greatest.

2, 4, 1, 7/3, 4/5, 5/2

Next, we find the middle value(s) of the ordered data.

Since we have six values, the middle is between the 3rd and 4th values.

2, 4, 1, [7/3, 4/5], 5/2

To find the median, we take the average of the two middle values:

(7/3 + 4/5) / 2 = (35/15 + 8/15) / 2 = 43/30 ≈ 1.43

Therefore, the median of the data is approximately 1.43 meters.

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