what is km to miles per hour?

Answer: DBSB272 PONTA DEM

Step-by-step explanation: Find a answer

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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220 lbs is approximately equal to 99.7903 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

220 lbs = 220 × 0.453592

Multiply the numbers

= 99.7903 kg ( rounded to four decimal places )

Therefore, 220 lbs is 99.7903 kg

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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 length of EF= 15 cm.

As, the question states that the triangles are similar; their ratios are also equal.

AC/DF = AB/DE - CB/EF

Plug in the values

12/10 = AB/DE = 18/EF

If we isolate EF,

EF = 180/12

EF= 15cm

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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.

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.

The total marginal cost of using 8 bottles is $8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Marginal utility of 1 bottle of Gatorade costs =  1$

Now,

The total marginal cost of using 8 bottles.

= 8 x $1

= $8

Thus,

The total marginal cost of using 8 bottles is $8.

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The complete question:

Marginal utility of 1 bottle of Gatorade that costs 1$.

Find the total marginal cost for using 8 bottles of Gatorade.

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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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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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.

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.

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:

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 linear equation will be y=7000+4550n where n=no. of year greater than 1.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Other term used for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There is three more constants added to the constant C: the variables x and y, the coefficients A and B, and the variables.

and general equation of line is y=mx+c

where m=slope=y2-y1/x2-x1

Now,

Given that no. of lionfish after a year=7000

and increment is 65% every year that means 65/100*7000

=4550 lionfish are added every year after 1 year

so the equation to represent lionfish in n years will be

Y=7000+4550n, where n>1 and n is no. of years.

hence,

          The linear equation will be y=7000+4550n.

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Answer: Cry 8374629173

Step-by-step explanation: Cry like 2734295

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

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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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

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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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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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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To convert any number of meters to miles, you simply need to multiply the number of meters by this conversion factor 0.000621371192

The conversion factor from meter to miles is  0.000621371192

1 meter = 0.000621371192 miles

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

So, to convert meter to miles you can multiply the number of kilometers by 0.000621371192

The distance in miles = conversion factor × The distance in meters

Therefore, the steps to convert meter to miles has been explained

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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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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

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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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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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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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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