Does anyone know this???

Answer:

Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

Step-by-step explanation:

The first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth.

Answer:

Step-by-step explanation:

so

180 = 2a + 62 + 54 - a + 5a - 20

180 = 6a + 96

180 - 96 = 6a

84 = 6a

a = 14

2a + 62 =

2 * 14 + 62 =

28 + 62 =

90°

54 - a =

54 - 14 =

5a - 20 =

5 * 14 - 20 =

70 - 20 =

60°

The correct answer is option A. Which is the solution of the given equation will be (15,15).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations are solved as:-

a - 1.2b = -3 or a = -3 + 1.2b

0.2a + 0.6b = 12

Put the value of a from equation 1 to the equation second.

0.2 ( -3 + 1.2 b)  + 0.6b = 12

-0.6 + 0.24b + 0.6b = 12

0.84b = 12  + 0.6

0.84 b = 12.06

b  = 15

Put the value of b in the first equation to find the value of a.

a = 1.2b - 3

a = (1.2 x 15) - 3

a = 15

Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).

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Answer: 4 2/3

number letter: A

The length of the piece of ribbon = 3 1/2 yards= 7/2 yards

The length of ribbon required to make  a bow =  3/4 yards

Now, the number of bows can be made in the given piece of ribbon = 7/2 divided by 3/4

 = 7/2*4/3= 14/3 = 4 2/3

Hence,  the number of bows can be made in the given piece of ribbon =  4 2/3

Answer:

m=4.46

c=5.32

Step-by-step explanation:

Given that the regression line is described by the expression

ý = 5.32 + 46.73s

we can also write the expression for the equation of a straight line and compare the values.

the expression for a straight line is given as

y=mx+c

where m= slope          

            c= intercept

Comparing the equation given with the straight-line equation, we can see that the gradient  m=4.46

and intercept c= 5.32  

Answer:

Step-by-step explanation:

The person above is 100% wrong, i did this exam 4 weeks ago and pulled the answer just for this questoin, ur welcome :)

I got a 100% on that exam

Answer:

The measure of ∠CAD is 69°

Step-by-step explanation:

In ΔABC

∵ D is the mid-point of AB

∵ E is the mid-point of BC

∴ DE is parallel to AC

→ From parallelism

∵ DE // AC

∴ m∠EDB = m∠CAD → corresponding angles

∵ m∠EDB = 83 - 7x

∵ m∠CAD = 7x + 55

→ Equate them

∴ 7x + 55 = 83 - 7x

→ Add 7x to both sides

∵ 7x + 7x + 55 = 83 - 7x + 7x

∴ 14x + 55 = 83

→ Subtract 55 from both sides

∵ 14x + 55 - 55 = 83 - 55

∴ 14x = 28

→ Divide both sides by 14

∴ x = 2

→ To find m∠CAD, substitute x by 2 in its measure

∵ m∠CAD = 7(2) + 55

∴ m∠CAD = 14 + 55

∴ m∠CAD = 69°

∴ The measure of ∠CAD is 69°

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

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Answer:

4

Step-by-step explanation:

factor 8x+36 to 4(2x+9).

Answer:

this is hard so ima go with [2/-2] [-2/2] [1/-1] [-3/3]

Step-by-step explanation:

cause ordered pairs have a negative and a positive with same number

ya YEET fellow peep (╯°□°）╯︵ ┻━┻

Answer:

11

Step-by-step explanation:

If it is a square, both sides will be equal. Therefore, you need to find out what number times itself equals 125. In the end, you just have to solve \(\sqrt{125}\) which is 11.1803...When you round that number, you get 11.

The side AC is 8.5 cm.

We know that a triangle is a polygon that has three sides. There are so many kinds of triangle such as;

In this case what we have is a right angled triangle ABC. Having seen this, we now have to find the side that has been marked AC in the triangle shown.

In this case, we are required to obtain the side that has been marked as AC and we have to use the given side AB and the angle that is given as angle BAC.

Now;

AB = 11 cm

Angle BAC = 39 degrees

AC = unknown

Thus we now have to make use of the trigonometric ratios;

Cos θ = opposite/ adjacent

opposite = AC

Adjacent = 11 cm

AC= 11 cm cos 39 degrees

AC = 8.5 cm

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Answer:

a

Step-by-step explanation:

22.978 rounded is 23

Answer:

see below

Step-by-step explanation:

a) see attached chart

b) sum is 10

There are 3 that total to 10  (4,6)  (5,5) and (6,4)  and there are 36 possible outcomes

P(10) = number of outcomes that sum to 10 / total number of outcomes

        =3/36

        = 1/12

c) identical numbers  There are 6 that are identical (1,1) (2,2) (3,3) (4,4) (5,5) (6,6)

p(identical) = number of outcomes that are identical / total number of outcomes

        =6/36

        = 1/6

d product a multiple of 10 ( 5,2)  (5,4) (5,6)  (2,5)  (4,5) (6,5) are the only ones with a product multiple of 10

p(identical) = number of outcomes that are identical / total number of outcomes

        =6/36

        = 1/6

The given vectors (1, 2, 3), (0, 4, 8), (-1, 1, 2), and (1, 0, 2) are linearly independent. Since there is no non-zero solution to the equation, we can conclude that the given vectors are linearly independent.

To determine if the given vectors are linearly independent, we need to check if there exist any non-zero coefficients such that the linear combination of these vectors equals the zero vector.

Let's assume that the given vectors can be expressed as a linear combination:

c1(1, 2, 3) + c2(0, 4, 8) + c3(-1, 1, 2) + c4(1, 0, 2) = (0, 0, 0)

To determine if this equation holds true, we can set up a system of equations based on the components of the vectors:

c1 + 0 - c3 + c4 = 0

2c1 + 4c2 + c3 + 0 = 0

3c1 + 8c2 + 2c3 + 2c4 = 0

Solving this system of equations, we find that the only solution is c1 = 0, c2 = 0, c3 = 0, and c4 = 0. This means that the only way the linear combination of the given vectors equals the zero vector is when all the coefficients are zero.

Since there is no non-zero solution to the equation, we can conclude that the given vectors are linearly independent.

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(a) Partial derivatives: ∇F = exsin(y)ln(z)i^ + excos(y)ln(z)j^ + exsin(y)/zk^

(b) Divergence: ∇⋅v = y + 2z + 3x.

(a) To find ∇F for F(x, y, z) = exsin(y)ln(z), we need to find the partial derivatives of F with respect to x, y, and z.

∂F/∂x = exsin(y)ln(z)

∂F/∂y = excos(y)ln(z)

∂F/∂z = exsin(y)/z

Therefore, ∇F = (∂F/∂x)i^ + (∂F/∂y)j^ + (∂F/∂z)k^

= exsin(y)ln(z)i^ + excos(y)ln(z)j^ + exsin(y)/zk^

(b) To find ∇⋅v for v(x, y, z) = xyi^ + 2yzj^ + 3xzk^, we need to find the divergence of v.

∇⋅v = (∂/∂x)(xy) + (∂/∂y)(2yz) + (∂/∂z)(3xz)

= y + 2z + 3x

Therefore, ∇⋅v = y + 2z + 3x.

(a) In part (a), we use the definition of the gradient operator to find ∇F. The gradient of a scalar function is a vector that points in the direction of the steepest increase of the function. By finding the partial derivatives of F with respect to each variable, we obtain the components of the gradient vector.

(b) In part (b), we use the definition of the divergence operator to find ∇⋅v. The divergence of a vector field measures the rate at which the field spreads out or converges at a given point. By finding the partial derivatives of each component of v with respect to their respective variables and summing them, we obtain the divergence of v.

The gradient and divergence operators are important concepts in vector calculus that have applications in various fields such as physics and engineering. They help us analyze and understand the behavior of vector fields and scalar functions in three-dimensional space.

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Answer:

Volume = 480 cm³

Step-by-step explanation:

Volume = lwh

*Split the shape into 3 rectangles.

Rectangle 1: 4 x 4 x 8 = 128

Rectangle 2: 14 x 4 x 4 = 224

Rectangle 3: 4 x 4 x 8 = 128

Total: 128 + 224 + 128 = 480 cm³

Answer:

480

Step-by-step explanation:

just took the quiz

Answer:

37 degrees

Step-by-step explanation:

108 = x + 71

37 = x

The given LP problem can be solved using graphical and Big M methods. The graphical solution involves plotting the constraints and determining the feasible region and optimal solution. The Big M method involves introducing artificial variables and using a two-phase approach to find the optimal solution. In this case, the LP problem has a unique optimal solution.

(a) To solve the problem graphically, we first plot the constraints on a graph. The first constraint, 3x1 + x2 ≥ 4, can be represented by a line with points (0, 4) and (4/3, 0). The second constraint, 2x1 + x2 ≤ 4, is represented by a line with points (0, 4) and (2, 0). The third constraint, x1 + x2 = 3, is a straight line passing through (3, 0) and (0, 3). The feasible region is the intersection of the shaded regions determined by these three constraints. We can then find the optimal solution by evaluating the objective function at the corners of the feasible region. The maximum value occurs at the corner (4/3, 0), where z = 4/3.

(b) To solve the LP problem using the Big M method, we introduce artificial variables to convert the inequalities into equalities. We then use a two-phase approach to find the optimal solution. In the first phase, we minimize the sum of the artificial variables by adding them to the objective function with a large coefficient (M). The constraints are solved to obtain an initial feasible solution. In the second phase, we remove the artificial variables and solve the modified objective function. In this case, since the initial feasible solution has no artificial variables in the optimal solution, the second phase is not necessary. The optimal solution obtained from the first phase is x1 = 1, x2 = 2, with z = 0.

(c) In the graphical solution, the basic solutions occur at the corners of the feasible region. The basic solution (4/3, 0) is feasible, and the objective function value at this point is z = 4/3. In the Big M method, the basic solution obtained in the first phase is x1 = 1, x2 = 2, which is also feasible. The objective function value at this basic solution is z = 0.

(d) The LP problem does not have alternative optimal solutions because there is only one feasible region and the objective function has a unique maximum value. Therefore, the problem does not suffer from infeasibility or unboundedness.

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The area of the new room is 330.75 feet².

The measurement that expresses the size of a region on a plane or curved surface is called the area. The area of a form or plane sheet is referred to as a plane region or plane area.

The formula for the Area of a Rectangle is given by

Area of a Rectangle = Length × Width

Here we have

The bedroom on the drawing is represented by ABCD  

and your actual bedroom is represented by figure A'B'C'D'  

The dimensions of ABCD = 4.5 inches × 6 inches

The scale is 1 inch = 3.5 feet  [ The scale factor is 3.5 ]  

Given that 1 inch = 3.5 feet

=> 4.5 inch = 4.5 × 3.5 feet = 15.75 feet    

=> 6 inch = 6 × 3.5 feet = 21 feet  

Thus actual measurements of the room are 15.75 feet × 21 feet    

Area of new room = 15.75 feet × 21 feet = 330.75 feet²  

Therefore,

The area of the new room is 330.75 feet²        

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

\(3 + 12(3p + 2) = 9(p - 3) \\ 3 + 36p + 24 = 9p - 27 \\ 27p = - 54 \\ p = - \frac{54}{27} \\ \boxed{p = - 2}\)

Answer:

67.02

Step-by-step explanation:

Answer:

g= 2x+9 /3x

Step-by-step explanation:

The mean and standard deviation of the data sets are;

a. 60.83, 15.11

b. 44, 4.03

c. 7.2, 3.7

d. 114.4, 10.74

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The mean of a data is the average of the data across the points.

a. data set; 35, 50, 60, 75, 65, 80

mean = 60.83

standard deviation = 15.11

b. data set; 51, 48, 47, 46, 45, 43, 41, 40, 40, 39

mean = 44

standard deviation = 4.03

c. data set; 11, 7, 14, 2, 8, 13, 3, 6, 10, 3, 8, 4, 8, 4, 7

mean = 7.2

standard deviation = 3.7

d. data set; 135, 115, 120, 110, 110, 100, 105, 110, 125

mean = 114.4

standard deviation = 10.74

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Answer:

x=15

Step-by-step explanation:

3(x-5)=30

First, you would distribute the three to the x and the negative five.

3x-15=30

Then you would add 15 to the 15 to cancel it and to the 30 to make it even.

3x-15=30

  +15=+15=

3x=45

Finally, you would divide 3 into both sides, cancelling out the three and fiving you,

x=15

Hope this helped!

Start by distributing the 3 through the parenthses on the left side.

This gives us 3x - 15 = 30.

Now add 15 to both sides to end up with 3x = 45.

Dividing both sides by 3, we fin that x = 15.

Given the equation:

-39 = 4w + 7(w-3)

Let's solve the equation for w.

To solve take the following steps.

• Step 1.

Apply distributive property

• Step 2.

Combine like terms

• Step 3.

Add 21 to both sides

Step 4.

Divide both sides by 11

ANSWER:

w = -1.63

Answer:0

Step-by-step explanation:

Answer: I believe the answer would be g x $3.25 and f x $0.74

Step-by-step explanation:

If each pound of granola costs $3.25, then you would multiply however many pounds you’re buying, by the price per pound.

For example, if I was buying 6 pounds of granola then I would multiply six by $3.25.

6 x $3.25= $19.50

The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

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