Which of the following is not a Pythagorean
Triple?
a. 6, 10,8
b. 18, 30, 24
c. 7, 24, 25
d. 5, 14,9

Answer:

Let

Point 1 ----------> (5, 2)

Point 2 ----------> (–6, 2)

we know that

the distance between two points it is calculated with the formula

d=√[(y2-y1)²+(x2-x1)²]

then

d=√[(2-2)²+(-6-5)²]

d=√[(0)²+(-11)²]

d=√[121]

d=√121-----------> d=11 units

the answer is 11 units,

Also, The segment is horizontal because the y-coordinates are the same. To find the distance, you can count the spaces between the points. The segment is 11 units long.

Answer:

y= -2x+6

Step-by-step explanation:

y=mx+b

b is the y intercept (what is y when x is 0) in this case it is positive 6

m is slope which is rise/run, in this case down 2 and over 1 so that would be -2/1 which is the same as -2

y = -2x+6

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

The dimensions of the barrel that can be constructed at a minimum cost in terms of material used are Radius (r) = 2 ft Height (h) = 8 ft

The volume of a cylindrical barrel is given by the formula

V = πr²h

The capacity of the barrel is 32π ft³, we have

32π = πr²h

r²h = 32

Now, let's consider the cost of the material. The cost per square foot for the side of the barrel is half that of the cost per square foot for the top and bottom. Let's denote the cost per square foot for the side as C and the cost per square foot for the top and bottom as 2C.

The total cost of the material used in constructing the barrel can be calculated as follows

Cost = 2πr²C + 2πrhC

We want to minimize the cost, so we need to minimize the equation

Cost = 2πr²C + 2πrhC

Now, we can express the height h in terms of r from the equation

r²h = 32

h = 32/r²

Substituting this value of h in the equation for the cost, we get:

Cost = 2πr²C + 2πr(32/r²)C

Cost = 2πr²C + 64πC/r

The minimum cost, we can take the derivative of the cost function with respect to r, set it equal to zero, and solve for r

d(Cost)/dr = 4πrC - 64πC/r² = 0

Simplifying the equation, we get:

4πrC = 64πC/r²

r³ = 16

r = 2

Substituting this value of r back into the equation r²h = 32, we can solve for h

(2²)h = 32

4h = 32

h = 8

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b

こんにちは

mmmmmmmmnnnnnnnnnnnnnnnnnnnnnnn

The correct option is a. Yes, it is possible to have a function defined on [4, 5] and meets the given conditions.

In order to find such a function, we can follow the steps below:

Step 1: Let f(x) be the function defined on [4, 5] that meets the given conditions.

Step 2: Since f(x) is continuous on [4, 5), it means that f(x) is continuous at every point in the open interval (4, 5). This implies that the limit of f(x) as x approaches 5 from the left is equal to the minimum value of f(x) at x = 5. Therefore, we can write:

lim x → 5− f(x) = 4Step 3: We also know that the function f(x) has no maximum value on [4, 5]. This means that the function increases without bound as x approaches 5. Therefore, we can write:

lim x → 5+ f(x) = ∞

Step 4: Finally, we can define the function f(x) on [4, 5] using a piecewise function as follows

:f(x) = { 4, x = 5; (x - 4) / (5 - x), 4 ≤ x < 5 }

This function satisfies all the given conditions.

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Answer:he will pay 20% of the total of the cash he has

Step-by-step explanation For example i have 10,000 dollar i will pay 20% of it so i will pay 2,000 dollar

The equation of a line y=2x+8.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis

Looking at the given line,

y = 2x + 7

Compared with the slope-intercept equation,

Slope, m = 2

If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2

Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes

4 = 2 × - 2 + c

4 = - 4 + c

c = 4 + 4 = 8

The equation becomes y=2x+8.

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To provide the state diagrams for Turing machines that decide the languages L6 and L7, we need to describe the transitions and states that machines will go through.

a) For language L6, a possible state diagram for the Turing machine would involve states for each substring encountered. The initial state would be a start state, and when the machine reads 0, it transitions to a state representing the substring 0. When it reads 1, it transitions to a state representing the substring 01. If it then reads another 1, it transitions to a state representing the substring 011, which is an accepting state. Similarly, when it reads 0 after 01, it transitions to a state representing the substring 0110. If it reads 1 after 0110, it transitions to a state representing the substring 01101, which is another accepting state.

b) For language L7, the Turing machine needs to keep track of the count of 0's and 1's encountered. It can have states such as S0, S1, S2, and S3, representing the number of 0's encountered. The machine starts in state S0, and upon reading 0, it remains in S0 or moves to state S1. Upon reading 1, it moves to state S2. If another 1 is encountered in S2, the machine moves to a non-accepting state S3. If it reads 0 in S1 or S2, it moves back to S0. If it encounters two 1's and no more 0's, it stays in S2. States S1 and S2 are accepting states, and once the machine reaches either of these states, it halts and accepts the input.

Note: The provided descriptions are high-level explanations, and the actual state diagrams might involve more states and transitions depending on the specific implementation of the Turing machine for each language.

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The expression cos⁡(−x)+tan⁡(−x)sin⁡(−x) simplifies to cos⁡(x)+tan⁡(x)sin⁡(x).

To find the minterms using Karnaugh maps (K-maps), we need to create the K-maps for each Boolean expression and identify the cells corresponding to the minterms.

a) For the expression wyz + w'x' + wxz':

We have three variables: w, x, and yz. We create a 2x4 K-map with w and x as the inputs for the rows and yz as the input for the columns:

\begin{array}{|c|c|c|c|c|}

\hline

\text{w\textbackslash x,yz} & 00 & 01 & 11 & 10 \\

\hline

0 & & & & \\

\hline

1 & & & & \\

\hline

\end{array}

Next, we analyze the given expression wyz + w'x' + wxz' and identify the minterms:

- For wyz, we have the minterm 111.

- For w'x', we have the minterm 010.

- For wxz', we have the minterm 110.

Placing these minterms in the corresponding cells of the K-map, we get:

\begin{array}{|c|c|c|c|c|}

\hline

\text{w\textbackslash x,yz} & 00 & 01 & 11 & 10 \\

\hline

0 & & & & \\

\hline

1 & & \textbf{1} & & \textbf{1} \\

\hline

\end{array}

Therefore, the minterms for the expression wyz + w'x' + wxz' are 111, 010, and 110.

b) For the expression A'B + A'CD + B'CD + BC'D':

We have four variables: A, B, C, and D. We create a 4x4 K-map with AB as the inputs for the rows and CD as the inputs for the columns:

\begin{array}{|c|c|c|c|c|}

\hline

\text{A\textbackslash B,CD} & 00 & 01 & 11 & 10 \\

\hline

0 & & & & \\

\hline

1 & & & & \\

\hline

\end{array}

Next, we analyze the given expression A'B + A'CD + B'CD + BC'D' and identify the minterms:

- For A'B, we have the minterm 10xx.

- For A'CD, we have the minterm 1x1x.

- For B'CD, we have the minterm x11x.

- For BC'D', we have the minterm x1x0.

Placing these minterms in the corresponding cells of the K-map, we get:

\begin{array}{|c|c|c|c|c|}

\hline

\text{A\textbackslash B,CD} & 00 & 01 & 11 & 10 \\

\hline

0 & & & & \textbf{1} \\

\hline

1 & \textbf{1} & \textbf{1} & \textbf{1} & \\

\hline

\end{array}

Therefore, the minterms for the expression A'B + A'CD + B'CD + BC'D' are 1000, 1011, 1111, and 0110.

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Answer:

\(\frac{ - 2x + 5x}{3x - 2y}\)

Step-by-step explanation:

\( \frac{ \frac{ - 2}{x} + \frac{5}{y} }{ \frac{3}{y} - \frac{2}{x} } = \frac{ \frac{ - 2y + 5x}{xy} }{ \frac{3x - 2y}{xy} } \\ = \frac{ - 2y + 5x}{xy} \times \frac{xy}{3x - 2y} \\ = \frac{ - 2x + 5x}{3x - 2y} \)

To calculate the reorder point, we need to consider the lead time (6 days) and the average daily usage of the product. Assuming a 30-day month, the average daily usage can be calculated as:
Product used per day = Total product used in a month / Number of days in a month
Product used per day = Inventory / 30

To determine the reorder point, we need to know the daily consumption rate of the product and the lead time (number of days it takes for the order to arrive).

1. Calculate the daily consumption rate: Since we have a 30-day month, we will divide the monthly consumption by 30.
Total consumption in a month = X gallons (Information not provided)
Daily consumption rate = X gallons / 30 days

2. Calculate the lead time demand: Since it takes 6 days for the order to arrive, we need to find out how many gallons are consumed during this time.
Lead time demand = Daily consumption rate * Lead time
Lead time demand = (X gallons / 30 days) * 6 days

3. Determine the reorder point: The reorder point is the level of inventory at which the product should be reordered to ensure that there is enough stock to cover the lead time demand.
Reorder point = Lead time demand
Reorder point = (X gallons / 30 days) * 6 days

Let's assume that the reorder point is the level of inventory at which we need to place a new order to avoid running out of stock. So, the reorder point can be calculated as:

Reorder point = Lead time demand + Safety stock

Here, the lead time demand is the product used during the lead time (6 days) and the safety stock is the buffer inventory kept to avoid stockouts. Let's assume a safety stock of 50 gallons.

Lead time demand = Product used per day * Lead time
Lead time demand = (Inventory / 30) * 6
Lead time demand = Inventory / 5

Reorder point = (Inventory / 5) + 50

We need to solve for the inventory level at which we should reorder. Let's assume the answer is X.

X / 5 + 50 = X
X - X/5 = 50
4X/5 = 50
X = (5/4) * 50
X = 62.5

So, the reorder point is 62.5 gallon. Therefore, the correct answer is "none of the above".

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The length of side RQ in triangle PQR is 7.5.

Given,

ΔJKL ≈ ΔPQR

Therefore, sides are in same ratio to each other i.e.

\(\frac{QP}{JK}=\frac{RP}{JL}=\frac{RQ}{LK}\)

\(\frac{25}{5} =\frac{22.5}{4.5}= \frac{t}{1.5}\)

Therefore,

5 = t/1.5

t = 5*1.5

t = 7.5

Hence, length of RQ is 7.5.

Correct question,

Triangle JKL is similar to triangle PQR, find t. The sides of JKL measures

sJL = 4.5 sLK = 1.5 sJK = 5. The sides of PQR measures sQP = 25 sRP = 22.5 and sRQ = t. Find the length of RQ.

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Using the concept of anti logarithm, from an example given, it is found that the antilog of 0.3712 is 2.3507.

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

\(x = \text{antilog}_by\) means that \(x = b^y\)

\(\text{antilog} 0.3712 = 10^{0.3712} = 2.3507\)

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The factors of expression \(2x^{2} +3x-54\) are (x+6) and (2x-9).

The given expression is: \(2x^{2} +3x-54\)

A factor is a number that divides another number leaving no remainder.

We can rewrite the given expression as:

\(2x^{2} +12x-9x-54\) (middle term has been splitted)

Take 2 as common from first two terms while take -9 as common from last two terms.

\(2x(x+6)-9(x+6)\)

Take (x+6) as common

\((x+6) (2x-9)\)

So, we got the factors (x+6) and (2x-9)

Therefore, The factors of expression \(2x^{2} +3x-54\) are (x+6) and (2x-9).

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Answer:

∠ C ≈ 73.7°

Step-by-step explanation:

using the sine ratio in the right triangle

sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AT}{CT}\) = \(\frac{48}{50}\) , then

∠ C = \(sin^{-1}\) ( \(\frac{48}{50}\) ) ≈ 73.7° ( to the nearest tenth )

The length of the longer base of the trapezoid could be 0.75 units, \(\frac{7}{3}\) units, 4 units.

A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.

Given: The original length of trapezoid= 6 units

The scale factor of less than 1

So, compare the given lengths with the trapezoid longer base length,

0.75 units<6 units

\(\frac{7}{3}\) units<6 units

8.75 units< 6 units

But, 12 units> 6 units

Therefore, the length of the longer base can be 0.75, \(\frac{7}{3}\), 4 units.

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The complete question is:

“ Qusai made a scaled copy of the following trapezoid. He used a scale factor less than 1.What could be the length of the longer base of the scaled copy of the trapezoid?

Choose 3 answers:

Answer:

Answers are from left to right of each row;

2d^3 , 11d^2 , -4d

-18d^2 , -99d , 36

Step-by-step explanation:

Okay, here we are to multiply each of the row heading by the column heading.

For the d part;

The answers are;

d(2d^2) d(11d) d(-4)

= 2d^3 , 11d^2 , -4d

For the -9 part, we have;

-9(2d^2) -9(11d) -9(-4)

= -18d^2 , -99d , 36

Answer:

6

Step-by-step explanation:

Here, we are told to find the length of EB

Since the chords AB and CD are both 5 units(equidistant) away from the center of the circle, then we can conclude that they are both congruent and thus are equal in length

Now we use a circle theorem to solve for the length EB

The theorem is that a line that joins the center of a circle to a chord makes a perpendicular angle with the chord and splits the chord into 2 equal parts.

Now we can say that; AB = AE + EB so we split 12 into 2 which is 6 units and that is the length of EB

Answer:

It is A on edge

Step-by-step explanation:

Answer:

g(x) = – f(x – 2)

Step-by-step explanation:

Answer:

24 full weeks needed

Step-by-step explanation:

30 + 3x = 100

3x = 70

x = 23.333

24 weeks needed

The perimeter of the triangle which has a bisector that splits a triangle into 6 sides would be = 47½

A bisector is defined as the line that divides a shape into two equal parts.

The perimeter of triangle is the sum total of all the sides of the triangle. That is;

perimeter = a1 + a2 + b1 + b2 + c1 + c2

But the value of only 3 sides which is exactly half of the perimeter where given;

= 11/3+22/3+153/12

= 44+ 88+ 153/12

= 285/12

Therefore perimeter

= 285/12 + 285/12

= 570/12

= 47½

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Answer: multiple of sum 2+5

Step-by-step explanation:

18/9=2

45/9=5

2+5=7

18+45=63

63/7=9

2+5

Answer:

see explanation

Step-by-step explanation:

Since PQ = PR , that is congruent legs of the triangle, then

Δ PQR is isosceles

Since ∠ QSR = 90° , then

Δ QSR is right angled

Answer:

Step-by-step explanation:

P(a|b)= this mean the probability that a happens given that you already know b has occurred.

So for this P(work|senior) is the probability you will pick someone who works give you know they work. So you look for the over lap between seniors and work in the table and divide it by the number of seniors.

In this case:

P(Work | senior)= 5/(25+5+5) = 5/35 = 1/7

Answer:

14

Step-by-step explanation:

Answer:

3962.96 is the radius

Step-by-step explanation:

r=C

2π=24900

2·π≈3962.95808

Hope this helps. I'm really sorry. We all struggling out here. We can do it!!

If the circumference of the earth is 24,900 miles, then what is the radius of the earth then the radius of the Earth is approximately 3,959 miles.

The Earth's circumference, which is the distance around its equator, is given as 24,900 miles.

Circumference (C) is related to the radius (r) of a circle by the formula C = 2πr, where π (pi) is a mathematical constant approximately equal to 3.14159. We can rearrange this formula to solve for the radius: r = C / 2π.

Plugging in the given circumference value, we get: r = 24,900 miles / (2 × 3.14159) ≈ 3,959 miles.

This radius represents the distance from the center of the Earth to its surface. It's a crucial measure as it defines the size of our planet.

The Earth is almost spherical in shape, and this radius helps us understand the dimensions of this sphere.

It's used in various scientific calculations, such as determining distances between points on the Earth's surface, calculating gravitational forces, and understanding geological features.

This radius also influences phenomena like gravity and the planet's overall size. So, knowing the Earth's radius is fundamental for a wide range of scientific and practical purposes, from navigation to satellite communication to studying Earth's composition and behavior.

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Answer:

i dont even know lol

Step-by-step explanation:

Answer:

I pretty sure it's 2.4 miles

Answer: 4 bedrooms/3 bathrooms/2-car garage

Step-by-step explanation: just did it yw