The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the least integer in the set?

Number 10 is Answer: y=2.5/2x+3.5

Step-by-step explanation:

The 3.5 is the y intercept because it is when x is 0. The slope is just the change in y over the change in x

The volume of the pyramid will be 14 cubic meters.

The volume of the pyramid is defined as the space occupied by the triangular pyramid in three-dimensional space.

The volume of a pyramid is a measure of the amount of space it occupies and is defined as one-third the product of the area of the base and the height of the pyramid.

Calculate the area of the base of the pyramid,

Area = 1/2 x 4 x 3

Area = 6 square meters

Calculate the volume of the pyramid as

Volume = 1/3 x ( 6 x 7 )

Volume = 14 cubic meters

Therefore, the volume of the pyramid will be 14 cubic meters.

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Answer:

just answer HOW many bands you want than you should get it right

To evaluate the line integral ∫ γ y^2 dz + x^2 dy along the given paths, we need to parameterize each path and compute the corresponding integrals.

(a) Path along the arc of the parabola y = x^2:

We can parameterize this path as γ(t) = (t, t^2) for t in the interval [0, 2].

The line integral becomes:

∫ γ y^2 dz + x^2 dy = ∫[0,2] t^4 dz + t^2 x^2 dy

To express dz and dy in terms of dt, we differentiate the parameterization:

dz = dt

dy = 2t dt

Substituting these expressions, the line integral becomes:

∫[0,2] t^4 dt + t^2 x^2 (2t dt)

= ∫[0,2] t^4 + 2t^3 x^2 dt

= ∫[0,2] t^4 + 2t^5 dt

Integrating term by term, we have:

= [t^5/5 + t^6/3] evaluated from 0 to 2

= [(2^5)/5 + (2^6)/3] - [0^5/5 + 0^6/3]

= [32/5 + 64/3]

= 192/15

= 12.8

Therefore, the line integral along the arc of the parabola y = x^2 is 12.8.

(b) Path along the horizontal interval followed by the vertical interval:

We can divide this path into two segments: γ1 from (0, 0) to (2, 0) and γ2 from (2, 0) to (2, 4).

For γ1, we have a horizontal line segment, and for γ2, we have a vertical line segment.

For γ1:

Parameterization: γ1(t) = (t, 0) for t in the interval [0, 2]

dz = 0 (since it is a horizontal segment)

dy = 0 (since y = 0)

The line integral along γ1 becomes:

∫ γ1 y^2 dz + x^2 dy = ∫[0,2] 0 dz + t^2 x^2 dy = 0

For γ2:

Parameterization: γ2(t) = (2, t) for t in the interval [0, 4]

dz = dt

dy = dt

The line integral along γ2 becomes:

∫ γ2 y^2 dz + x^2 dy = ∫[0,4] t^2 dz + 4^2 dy

= ∫[0,4] t^2 dt + 16 dt

= [t^3/3 + 16t] evaluated from 0 to 4

= [4^3/3 + 16(4)] - [0^3/3 + 16(0)]

= [64/3 + 64]

= 256/3

≈ 85.33

Therefore, the line integral along the horizontal and vertical intervals is approximately 85.33.

(c) Path along the vertical interval followed by the horizontal interval:

We can divide this path into two segments: γ3 from (0, 0) to (0, 4) and γ4 from (0, 4) to (2, 4).

For γ3:

Parameterization: γ3(t) = (0, t) for t in the interval [0, 4]

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Given:

Total amount = $135

Total friends = 5

Each friend to have the same amount of money.

To find:

The money you will give each of your friends.

Solution:

We know that,

\(\text{Money for each friend}=\dfrac{\text{Total money}}{\text{Total number of friends}}\)

Substituting the given values, we get

\(\text{Money for each friend}=\dfrac{135}{5}\)

\(\text{Money for each friend}=27\)

Therefore, each friend will get $27.

Answer:

Option A

Step-by-step explanation:

I used the quadratic equation:
\(x = \frac{-b +\sqrt{b^{2} -4ac} }{2a}\) or \(x = \frac{-b +\sqrt{b^{2} -4ac} }{2a}\)

Answer:

There is no problem.

Step-by-step explanation:

Answer:

1/6 on ed

Step-by-step explanation:

The radius of the base of a cone is 4 inches. The slant height of the cone is 6 inches. Which is closest to the surface area of the cone ?

\( \bullet \) Radius (r) of the base of a cone is 4 inches.

\( \bullet \) Slant height (l) of the cone is 6 inches.

Which is closest to the surface area of the cone ?

We know,

Formula of surface area of a cone is πr(r + l) sq. units.

Taking value of π = 3.14

So, Surface area of the cone = 3.14 × 4(4 + 6)

Surface area of the cone = 12.56 × 10

Surface area of the cone = 125.6 sq. inches.

\( \because \) 126 sq. inches is closest to 125.6 sq. inches.

So, option (H) 126 sq. in is correct. [Answer]

Answer:

The angle formed by the intersection of 2 secants could be found out as: 1/2 (Arc DE - arc BC)

mDE = 128

mBC = 63

=> 1/2 (128 - 63)

=> 32.5 = mZA

Hope this helps!

The two figures shown are made of unit squares. The positive difference of the perimeters, in units, is 8.

Perimeter is the total distance around the boundary of the shape. Since each square has a side length of 1 unit, the perimeter is equal to the number of sides.

1. Figure A: Counting the number of unit squares on the boundary of the shape, the perimeter of the first shape is:   8+4+4+4+4=24 units.

2. Figure B:Counting the number of unit squares on the boundary of the shape, the perimeter of the second shape is: 10+2+10+2=24 units.

The positive difference of the perimeters in units = |24 - 24| = 0 units. Therefore, the positive difference of the perimeters, in units is 0.

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The prevalence rate per 100,000 is 99.8%

We know that the prevalence rate is the proportion of persons in a population who have a particular disease over a specified period of time.

In this question, we have been given a data on breast cancer for the past year:

number of new cases: 1,774;

number of total cases: 4,192;

population: 5,977,906

We need to find the prevalence rate per 100,000

The total number of infected people = 1,774 + 4192

                                                             = 5966

Chance of infection in the whole population would be,

5,977,906/ 5966 ≈ 1002

This means, chances of having breast cancer is 1 in every 1002 people.

A prevalence rate is calculated by dividing total number of infected people by the total population. The result is then multiplied by 100,000

Now we calculate the prevalence rate per 100,000

= (5966 / 5,977,906) × 100,000

= 0.000998 × 100,000

= 99.8 %

Therefore, the prevalence rate per 100,000 is 99.8%

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Answer and Step-by-step explanation:

To find the answer, we need to get S by itself. To do so, we multiply both sides of the inequality by 9.

S > 108

So, S is greater than 108.

#teamtrees #PAW (Plant And Water)

Answer:

$50,000 at 8%; $150,000 at 6%

Step-by-step explanation:

$50,000 x .08 = $4000

$150,000 x .06 = $9000

$4000 + $9000 = $13,000

The average value of the function f(x) = x² + 6 on the interval [-9,9] is 57.

To find the average value of a function on an interval, we need to calculate the definite integral of the function over the interval and then divide it by the length of the interval. In this case, the function is f(x) = x² + 6 and the interval is [-9,9].

The definite integral of f(x) over the interval [-9,9] can be found by evaluating ∫(x² + 6) dx from x = -9 to x = 9. Integrating the function, we get (∫x²dx + ∫6 dx) from -9 to 9.

Evaluating the integrals and applying the limits, we have ((1/3)x³+ 6x) from -9 to 9. Plugging in the upper and lower limits, we get ((1/3)(9³) + 6(9)) - ((1/3)(-9³) + 6(-9)).

Simplifying the expression, we obtain ((1/3)(729) + 54) - ((1/3)(-729) - 54), which equals (243 + 54) - (-243 - 54).

Further simplifying, we have 297 - (-297), resulting in 297 + 297 = 594.

To find the average value, we divide the definite integral by the length of the interval. In this case, the length of the interval [-9,9] is 9 - (-9) = 18.

Therefore, the average value of the function f(x) = x² + 6 on the interval [-9,9] is 594 / 18 = 33.

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Answer:

y = (-3/2)x + 4

Step-by-step explanation:

The slope of the given line is 2/3.  The slope of any line perpendicular to the given line is the negative reciprocal of 2/3, which comes out to -3/2.

Now we have the slope of the new line and know that it passes through (0, 4).  (0, 4) happens to be the y-intercept, b, in y = mx + b:

Substituting -3/2 for m and 4 for b, we get y = (-3/2)x + 4.

Answer:

black

black

Step-by-step explanation:

Answer: sorry but i need this points but you got this sorry

Step-by-step explanation:

Answer:

200 and 120

Step-by-step explanation:

(5x + 3x )*2 = 640

8x = 320

x = 40

5*40 = 200

3*40 = 120

Answer:

Step-by-step explanation:

We need to cut each side of 10 in cake to:

It is possible by 4 cuts. In total the number of cuts is:

Total length of the cuts is:

It took 40 seconds to cut 80 in so each inch of cut takes:

Now, total length of cuts of 12 in x 12 in cake is:

Time required to cut this cake is:

Circle C can be transformed into Circle D to show similarity through dilations, translations, or reflections.

To show that Circle D is a similar figure to Circle C, we need to perform a transformation that preserves the shape of the circle while possibly changing its size and position. The following transformations can be used to demonstrate similarity between the two circles:

Dilations: Circle C can be dilated by a scale factor to create Circle D. The dilation center should be the same as the center of Circle C. The scale factor determines the change in size between the two circles while maintaining their proportional relationships.

Translation: Circle C can be translated to a different position to create Circle D. The distance and direction of the translation determine the new position of Circle D while preserving its shape.

Reflection: Circle C can be reflected across a line to create Circle D. The line of reflection should pass through the center of Circle C. The reflection flips the circle to the opposite side of the line while maintaining its shape.

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The PHP function commonly used to send an SQL query to a MySQL database is "mysqli_query()." The general form of the return value of this function is a result object, which represents the outcome of the query execution.

In PHP, the "mysqli_query()" function is commonly used to send SQL queries to a MySQL database. It takes two parameters: the first parameter is the database connection object, and the second parameter is the SQL query string. When the "mysqli_query()" function is executed, it sends the SQL query to the MySQL database for execution. The function returns a result object, which represents the outcome of the query execution.

The specific contents of the result object depend on the type of query executed. For SELECT queries, the result object contains the retrieved data from the database, which can be fetched using other functions like "mysqli_fetch_assoc()" or "mysqli_fetch_array()." For INSERT, UPDATE, DELETE, or other types of queries, the result object typically indicates the success or failure of the query execution.

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The probability that a class of 50 has an average score that is less than 77 is approximately 11.90%.

To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means will be approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
In this case, we have a population of marks on a biology final test that is normally distributed with a mean of 78 and a standard deviation of 6. We want to know the probability that a class of 50 has an average score that is less than 77.
Using the central limit theorem, we can calculate the standard error of the mean as follows:
standard error of the mean = standard deviation / square root of sample size
standard error of the mean = 6 / √50
standard error of the mean = 0.8485
Next, we need to calculate the z-score for a sample mean of 77:
z-score = (sample mean - population mean) / standard error of the mean
z-score = (77 - 78) / 0.8485
z-score = -1.18
We can use a standard normal distribution table or calculator to find the probability associated with a z-score of -1.18. The probability of a sample mean less than 77 is approximately 0.1190 or 11.90%.
Therefore, the probability that a class of 50 has an average score that is less than 77 is approximately 11.90%.

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Answer:

Option (1)

Step-by-step explanation:

Formula to get the area of a circle is given by,

Area = πr²

Here r = radius of the circle

Since, Radius of a circle = \(\frac{\text{Diameter}}{2}\)

Therefore, Radius of the circle with diameter = 31.6 cm will be,

Radius = \(\frac{31.6}{2}\)

            = 15.8 cm

Now Area of the circle = π(15.8)²

                                      = 249.64π cm²

                                      = 783.87 cm²

                                      ≈ 783.9 cm²

Therefore, Option (1) will be the correct option.

To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.

A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.

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The proprtions are  25/10 = 5/2 and 3/4 = 15/20

Proportion is an equation that defines that the two given ratios are equivalent to each other e.g. 1/3 = 3/9

25/10 and 5/2  are proportions:

25/10 = (5×5)/(5×2)      (Divide both the numerator and denominator by 5)

25/10 = 5/2

3/4/10 and 15/20  are proportions:

3/4 = (3×5)/(5×4)      (Multiply both the numerator and denominator by 5)

3/4 = 15/20

Therefore, 25/10 = 5/2 and 3/4 = 15/20 are proprtions

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Answer:

I'm pretty sure it would be (5,6)

Step-by-step explanation:

Reflecting a point over the Y-axis would change the x-coordinate, but not the y-coordinate

statement b) "x = २०४" is correct. The rest of the statements are either unclear, contain errors, or lack proper mathematical notation.

a) The statement "a b = a 62" is not correct. It seems to be a typing error or a formatting issue. It is not clear what the intended equation is, so we cannot determine its correctness.

b) The statement "x = २०४" is correct. It states that the variable x is equal to २०४, which is a valid mathematical statement.

c) The statement "(za)* = bra" is not correct. It seems to be a typo or an incorrect mathematical notation. Without proper context or definitions of the variables, it is difficult to determine its correctness.

d) The statement "xa 1 xb xb-a" is not correct. It appears to be a combination of variables and exponents, but the notation is not clear or accurate. Without further information, it is not possible to determine its correctness.

e) The statement "None of the above" is correct. Given the analysis of the previous statements, it is clear that none of them are correct.

In summary, only statement b) "x = २०४" is correct. The rest of the statements are either unclear, contain errors, or lack proper mathematical notation.

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Answer:

<4

Step-by-step explanation:

Given numbers are: 1246 , 125689 , and 13578 all have digits in increasing order and we have to find how many different 4-digit numbers have digits that are in increasing order When we say digits are in increasing order, it means they are arranged in increasing order i.e. left to right.

Write the digits of each number in increasing order:1246: 1246125689: 12568913578: 13578As we are asked to find the number of 4-digit numbers so we will only consider those numbers which are made by selecting 4 digits from the given digits. If a number has less than 4 digits, we will skip it.

Number of 4 digit numbers using given digits in increasing order are:

1246 (4 digits)1256 (4 digits)1257 (4 digits)1258 (4 digits)1259 (4 digits)1268 (4 digits)1269 (4 digits)1278 (4 digits)1279 (4

digits)1289 (4 digits)1357 (4 digits)1358 (4 digits)1359 (4 digits)1368 (4 digits)1369 (4 digits)1378 (4 digits)1379 (4 digits)1389 (4 digits)1456 (4 digits)1457 (4 digits)1458 (4 digits)1459 (4 digits)1468 (4 digits)1469 (4 digits)1478 (4 digits)1479 (4 digits)1489 (4 digits)1567 (4 digits)1568 (4 digits)1569 (4 digits)1578 (4 digits)1579 (4 digits)1589 (4

digits)1678 (4 digits)1679 (4 digits)1689 (4 digits)1789 (4 digits)2356 (4 digits)2357 (4 digits)2358 (4 digits)2359 (4 digits)2368 (4 digits)2369 (4 digits)2378 (4 digits)2379 (4 digits)2389 (4 digits)2456 (4 digits)2457 (4 digits)2458 (4 digits)2459 (4 digits)2468 (4 digits)2469 (4 digits)2478 (4 digits)2479 (4 digits)2489 (4 digits)2567 (4 digits)2568 (4

digits)2569 (4 digits)2578 (4 digits)2579 (4 digits)2589 (4 digits)2678 (4 digits)2679 (4 digits)2689 (4 digits)2789 (4 digits)3456 (4 digits)3457 (4 digits)3458 (4 digits)3459 (4 digits)3468 (4 digits)3469 (4 digits)3478 (4 digits)3479 (4

digits)3489 (4 digits)3567 (4 digits)3568 (4 digits)3569 (4 digits)3578 (4 digits)3579 (4 digits)3589 (4 digits)3678 (4 digits)3679 (4 digits)3689 (4 digits)3789 (4 digits)4567 (4 digits)4568 (4 digits)4569 (4 digits)4578 (4 digits)4579 (4 digits)4589 (4 digits)4678 (4 digits)4679 (4 digits)4689 (4 digits)4789 (4 digits)5678 (4 digits)5679 (4 digits)5689 (4 digits)5789 (4 digits)6789 (4 digits)Total number of 4 digit numbers in increasing order = 84

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To find f(2) we will evaluate the given function at x=2.

Recall that to evaluate a function at a given value, we substitute the variable by the given value, in the case we substitute x by 2:

Simplifying the above result we get:

Answer: