2m-m-7m simplified is..

Answer:

D = 3 √5 units

Step-by-step explanation:

Here, we want to find the distance between these two points

to get this, we use the distance formula as follows

D = √(x2-x1)^2 + (y2-y1)^2

so we have for (3,-6) and (9,-3)

D = √(3-9)^2 + (-6 + 3)^2

D = √(36 + 9)

D = √(45)

D = 3√5 units

The height of the paperweight to the nearest tenth of an inch would be = 5 in.

The length of the square base = 3in (a)

The slant height of the square pyramid = 4 in (b)

The height of the pyramid (c) = X

This can be calculated using the Pythagorean formula;

c² = a² + b²

c² = 3² + 4²

c² = 9+16

c² = 25

C= √25

C = 5in

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Joe ate 7/30 more of pizza than Jane. You can just subtract 2 uneven denominators. So you would turn them into 30 because that’s the closest highest number that can go with 5 and 6. Then multiply 2 with 6 which is 12 and then multiply 1 with 5 which is 5 now you can subtract it. 12/30-5/30=7/30.

Final Result: 7/30

Answer:

Step-by-step explanation:

36+5=41

86+6=92

41*2=82

92*2=184

82+184=266

The shortest length of fence that the rancher can use is 6000ft

Given that

x = width of rectangle

y = length of rectangle

A = area of rectangle = x*y = 1500000 \(ft^{2}\)

L = length of fencing needed = 2(x + y) + x = 3x + 2y

L = 3x + 2(\(\frac{1500000}{x}\)) = 3x + 3(\(10^{6}\))\(x^{-1}\)

As x –> 0+, L –> +inf.

As x –> +inf, L –> (3x)+.

There will be a minimum in Quadrant I.

dL/dx = 3 - 3(\(10^{6}\))\(x^{-2}\)

dL/dx = 0:

3 - 3(\(10^{6}\))\(x^{-2}\) = 0

3(\(10^{6}\))\(x^{-2}\)= 3

(\(10^{6}\))\(x^{-2}\) = 1

\(x^{2}\) = \(10^{6}\)

x > 0, so x = 1000 feet for shortest length.

Shortest L = 3000 + 3(\(10^{6}\))(\((10^{3} )^{-1}\))= 6000 feet.

The shortest length of fence that the rancher can use is 6000ft

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Answer:

\(\frac{13m}{4}\)

Step-by-step explanation:

"the product of 13 and a number M" should be written as 13m.

To get a fourth of the produce we would need to divide it by four.

A fourth of the product of 13 and a number M should be \(\frac{13m}{4}\) .

Hope this helps.

The coefficient of \((x - 1)^k\) in the Taylor series for f(x) centered at 1 is (-1/2) for k > 1 and \(f^{(k)}(1) = -k!/(2^k)\) for k > 1

What is coefficient?

In mathematics, a coefficient is a numerical or constant factor that is applied to a variable or term. Coefficients are used in various mathematical contexts, including algebra, calculus, and statistics.

Since the first derivative of f(x) is \(f'(x) = -1/(x^2 * \sqrt{(x^2 - 1)})\), we have f'(1) = -1/0, which is undefined. Hence, we cannot use the Taylor series formula for f(x) centered at 1 directly.

However, we are given that \(f^{(k)}(1) = -k!/(2^k)\) for k > 1. Using this information, we can write the Taylor series formula for f(x) centered at 1 as:

\(f(x) = f(1) + f'(1)(x - 1) + (1/2!)f''(1)(x - 1)^2\)\(+$\sum_{k=2}^{\infty} \frac{1}{k!}f^{(k)}(1)(x-1)^k$\)

Substituting f(1) = 1/2 and f'(1) = -1/2, we get:

\($f(x) = \frac{1}{2} - \frac{1}{2}(x-1) + \frac{1}{2!} \left(-\frac{2}{2^2}\right) (x-1)^2 + \sum_{k=2}^{\infty} \frac{1}{k!} \left(-\frac{k!}{2^k}\right) (x-1)^k$\)

Simplifying the expression, we get:

\($f(x) = \frac{1}{2} - \frac{1}{2}(x-1) - \frac{1}{4}(x-1)^2 + \sum_{k=2}^{\infty} \left(-\frac{1}{2}\right)(x-1)^k$\)

Hence, the coefficient of \((x - 1)^k\) in the Taylor series for f(x) centered at 1 is (-1/2) for k > 1.

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When calculating a multiplicative seasonal index, the trend and seasonal factor are related using the multiplication operator.

The multiplicative seasonal index is a statistical technique used to decompose time series data into seasonal and trend components. When calculating the multiplicative seasonal index, the trend and seasonal factor are related using the multiplication operator.

The multiplication operator is used to combine the trend and seasonal components in the formula for the multiplicative seasonal index. This is because the trend and seasonal factors are not additive, but instead interact multiplicatively to produce the overall pattern observed in the time series data.

The formula for calculating the multiplicative seasonal index involves dividing the actual value by the trend estimate to remove the trend component, and then multiplying by the inverse of the average of seasonal indices for that period to isolate the seasonal component. By using the multiplication operator, we can account for both the trend and seasonal components in the time series data and accurately predict future values.

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Answer: (a) 64°

(b) Yes, it is safe

Step-by-step explanation:

A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

We solve the above question using the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse sides

θ = Angle formed with the ground = ?

Opposite side = 27 ft

Hypotenuse side = 30 ft

Hence,

sin θ = 27 ft/30 ft

sin θ = 9/10 = 0.9

θ = arc sin (0.9)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?

From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

Hence:

64° < 70°

Therefore, the ladder will be safe the way it is positioned.

Answer:

33

Step-by-step explanation:

The greatest common factor is 3 and the least common multiple is 30.

30 + 3 = 33

Answer: C

Step-by-step explanation: 30

This will print the words in decreasing order of frequency. In summary, to show words in decreasing order of frequency using a frequency distribution.

Tokenize the text: Tokenization is the process of splitting the text into individual words or tokens. Create a frequency distribution: Once you have tokenized the text, you can create a frequency distribution using the FreqDist function from NLTK. This function takes a list of tokens as input and calculates the frequency of each word. For example, if the tokens are ["I", "love", "to", "eat", "apples", "I", "love"], the frequency distribution would be {"I": 2, "love": 2, "to": 1, "eat": 1, "apples": 1}.

Sort the frequency distribution: Next, you need to sort the frequency distribution in decreasing order of frequency. You can use the sorted() function in Python, specifying the key as the frequency value. For example, if the frequency distribution is, the sorted distribution would be [("I", 2), ("love", 2), ("to", 1), ("eat", 1), ("apples", 1)].Display the sorted words: Finally, you can print the words in decreasing order of frequency, along with their respective frequencies. For example, the sorted words from the previous step would be displayed as:


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The city that has the biggest difference between the maximum and minimum temperatures is Glasgow.

In order to determine which city has the biggest difference, subtract the difference between the minimum temperature from the maximum temperature.

Range = maximum temperature - minimum temperature

Range of Glasgow = 2 - (-8)

2 + 8 = 10

Range of Cardiff = 6 - (-1)

6 + 1 = 7

Range of Exeter = 8 - 0 = 8

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To design the shear stirrups for the given rectangular singly reinforced concrete beam, we need to consider the beam dimensions, loads, material properties, and design codes.

Distributed service dead load = 3.00 kips/ft

Distributed live load = 2.00 kips/ft

Beam length (span) = 20 ft

Beam width (b) = 10 in

Total height (h) = 24 in

Cover distance = 3 in

stirrups

Concrete compressive strength (f'c) = 4,000 psi

Steel yield strength (fy) = 60,000 psi

The design of shear stirrups involves calculating the maximum shear force and determining the required spacing and arrangement of stirrups to resist this force. The specific steps and calculations for the design depend on the beam's geometry and loading conditions.

To determine the shear force, we need to calculate the factored loads, determine the maximum shear, and consider the contribution of live load and dead load. Once the maximum shear force is known, the spacing and arrangement of stirrups can be determined using design guidelines, such as the ACI (American Concrete Institute) code.

To perform the detailed design calculations and determine the required stirrup spacing and zones, it is recommended to consult structural design textbooks or relevant design codes, such as the ACI 318, which provide step-by-step procedures and guidelines for shear reinforcement design in concrete beams.

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Answer:

you +1 on each side

Step-by-step explanation:

a is 30-1=7

b is 32=8

to get from "a" to "b" you simply add one on both sides

32 - 1 = 7

+ 1 +1

------------------

32=8

Answer: I think 288

Step-by-step explanation:

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

x +   y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

-6(4 + 5v) - 3 = -57

Use distributive properties

-24 -30V -3 = -57

Combine like terms

-27 -30v = -57

Add 27 to both sides

-30v = -30

Divide both sides by -30

V=1

Answer:

v = 1

Step-by-step explanation:

-6(4 + 5v) - 3 = -57

Add 3 to each side

-6(4 + 5v) - 3+3 = -57+3

-6(4 + 5v)  = -54  

Divide by -6 on each side

-6(4 + 5v)  / -6 = -54/-6

4+5v = 9

Subtract 4 from each side

4+5v-4 = 9-4

5v = 5

Divide each side by 5

5v/5 = 5/5

v =1

Answer:

1 is

for 1 disc is $16.50

for 2 disc is $33.00

for 3 disc is $49.50

and

2 is

for 1 book is $6.95

for 2 books is $13.90

for 3 books is $20.85

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

A perpendicular line will have a sope that is the negative inverse of the reference line.  The reference line is y = -3 + 4, with a slope of -3.  The negative inverse would be -(-1/3) or (1/3).

The new line will take the form of y = (1/3)x + b, where b is the y-intercept (the value of y when x=0).  We want the new line to go through point (-3,-7).  We;ll need a value of b that will make that happen.  To find b, enter the given data point and solve for b:

y = (1/3)x + b for (-3,-7).

-7 = (1/3)(-3) + b

-7 = -1 + b

b = -6

The new equation is y = (1/3)x - 6

See the attached graph.

Answer:

x ≈ 21.3

Step-by-step explanation:

using the sine ratio in the right triangle

sin80° = \(\frac{opposite}{hypotenuse}\) = \(\frac{21}{x}\) ( multiply both sides by x )

x × sin80° = 21 ( divide both sides by sin80° )

x = \(\frac{21}{sin80}\) ≈ 21.3 ( to 1 decimal place )

Answer:

Approximately 16.67 liters concentration of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.

Step-by-step explanation:

Let's denote the amount of the 6% solution as x liters and the amount of the 15% solution as y liters. We need to find the values of x and y that satisfy the conditions.

Since we want to make 30 liters of a 10% solution, we can set up the following equations:

Equation 1: x + y = 30 (total volume equation)

Equation 2: (0.06x + 0.15y) / 30 = 0.10 (concentration equation)

From Equation 1, we have x = 30 - y. Substituting this into Equation 2, we get:

(0.06(30 - y) + 0.15y) / 30 = 0.10

Simplifying the equation gives:

(1.8 - 0.06y + 0.15y) / 30 = 0.10

1.8 + 0.09y = 3

0.09y = 1.2

y ≈ 13.33

Substituting y back into Equation 1, we find:

x + 13.33 = 30

x ≈ 16.67

Therefore, approximately 16.67 liters of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.

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The transformations are; Vertical shift: 0 units. Vertical stretch: 1 unit. Horizontal shift: 5 units to the right.

The given function is, (x) = ln(x - 5).

We are supposed to list all transformations. The formula for logarithmic function transformation is given as;

g(x) = a log b (cx - d) + k

Where, a is a vertical stretch or shrinkage factor, b is the base of the logarithm, c is a horizontal stretch or compression factor, d is the horizontal shift (right or left), and k is the vertical shift (up or down).

The transformation of the function (x) = ln(x - 5) is;

The value of a, b, c, d, and k for the given function is: a = 1b = e

c = 1d = 5k = 0

Using the formula of the logarithmic function transformation, the transformations are as follows:

f(x) = ln(x - 5)f(x) = 1 ln (1(x - 5)) + 0 ...a = 1, b = e, c = 1, d = 5, and k = 0f(x) = ln(x - 5)f(x) = ln(e(x - 5)) ... a = 1, b = e, c = 1, d = 5, and k = 0f(x) = ln(x - 5)f(x) = ln(x - 5) + 1 ... a = 1, b = e, c = 1, d = 0, and k = 1f(x) = ln(x - 5)f(x) = ln(x - 4) ... a = 1, b = e, c = 1, d = -1, and k = 0 (shift 1 unit to the right)

Thus, the transformations are; Vertical shift: 0 units. Vertical stretch: 1 unit. Horizontal shift: 5 units to the right.

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Answer:

250 in out to radical change

Answer:

20 hours

Step-by-step explanation:

for 1 week 560/2

=260

calculation for working hours

Total wage=Rate per hour × actual time spend on working.

Let actual working hours be (x)

260=13×X

260/13=X

20=X

20 hours

Answer:

The relation in the fourth table (last table) represents the function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

If we carefully observe, we can check that the first three tables have duplicated inputs.

i.e. In tabel 1, x = 0 is repeated. In other words, x = 0 is duplicated.

i.e. In tabel 2, x = 7 is repeated. In other words, x = 7 is duplicated.

i.e. In tabel 3, x = 3 is repeated. In other words, x = 3 is duplicated.

Therefore, the first three tables DO NOT represent a function as we can not have duplicated inputs as there should be only 1 output for each input.

But, if we check the fourth table, it is clear that the fourth table does not have any duplicated input values.

i.e.

x = 14, 18, 1, and 17

Thus, in the fourth table, each input or x-value of the X set has a unique y-value or output of the Y set.

Hence, the relation in the fourth table (last table) represents the function.

Answer:

The natural numbers along with number 0 (zero) form the set of whole numbers i.e., 0, 1, 2, 3,, are whole numbers. The set of whole numbers is denoted by . = {0, 1, 2, 3, …} Set of natural numbers is the proper subset of the set of whole numbers.

Step-by-step explanation:

Answer: the answer would be

ANSWER#2 The store charges $2 for a pizza and then adds on $3 for every topping added

assuming that the equation is The equation Cost = 3(number of toppings ) +2 that means that its the number of toppings times 3, so 3 dollars for every topping and than the additonal 2 dollars for the pizza cost

....and dang, I wish i could get a two dollar pizza :(

Answer:

exponent

Step-by-step explanation: