The length of a rectangle is six times its width. If the perimeter of the rectangle is 70 cm, find its length and width.

length:
width:

Answer:

1.89billions

Step-by-step explanation:

Given

The quantity demanded determined by the price P of wheat, and the relation is

P = 2.55 − 0.55D

Also, the quantity supplied is determined by the price P of wheat, in dollars per bushel, and the relation is

P = 2.13S − 0.65

At equilibrium, the price of wheat will be the same i.e;

2.13S-0.65 = 2.55-0.55D

Also since at the equilibrium price, the quantity supplied and the quantity demanded are the same, then S = D

Substitute into the formula

2.13S-0.65 = 2.55-0.55S

2.13S+0.55S = 2.55+0.65

2.68S = 3.20

S = 3.20/2.68

S = 1.194

Get the equilibrium price of wheat;

Given;

P = 2.13S − 0.65

P = 2.13(1.194) − 0.65

P = 2.5433-0.65

P = 1.893

Hence the equilibrium price of wheat is approximately 1.89billions

Answer:

The equilibrium price for wheat is 3.663 dollars per bushel

Step-by-step explanation:

The quantity of wheat, in billions of bushels, that wheat suppliers are willing to produce in a year and offer for sale, determined by the price P of wheat, is:

P = 2.13*S - 0.65

On the other hand, you know that the amount of wheat, in billions of bushels, that wheat consumers are willing to buy in a year, determined by the price P of wheat, is:

P = 2.55 - 0.55*D

The market equilibrium or point of equilibrium is that point where there is an equilibrium because the demanders are willing to buy the same units that the suppliers want to manufacture, for the same price.  

Being at the equilibrium price, the quantity supplied and the quantity demanded must be equal. So, being:

the quantity supplied S must be equal to the quantity demanded D:

S=D

\(\frac{P+0.65}{2.13} =\frac{P+2.55}{-0.55}\)

Solving:

\((-0.55)*\frac{P+0.65}{2.13} =P+2.55\)

\(\frac{-0.55}{2.13} *(P+0.65) =P+2.55\)

\(-\frac{55}{213} *(P+0.65) =P+2.55\)

\(-\frac{55}{213} *P-0.168 =P+2.55\)

\(-\frac{55}{213} *P-P =2.55+0.168\)

\(0.742*P =2.718\)

P=2.718÷0.742

P=3.663

The equilibrium price for wheat is 3.663 dollars per bushel

Answer:

Least square regression:

y = 1.0136x + 25.8404

Value of y if x is 4:

y = 29.8936

Step-by-step explanation:

Given:

x' = 12

y' = 38

\( \sigma y = 4 \)

\( \sigma x = 3 \)

coefficient between x and y, r = 0.76

Take the least square regression as:

y - y' = byx (x - x')

Let's find byx:

\( byx = r (\frac{\sigma y}{\sigma x}) \)

\(byx = 0.76 (\frac{4}{3}) = 1.0133\)

We'll now compute the least squares regression line for the data, and then predict what the y value should be if x is 4.

Take the regression equation:

y - y' = byx (x - x')

Substitute figures:

y - 38 = 1.0133 (x - 12)

Expand the equation:

y - 38 = 1.0133x - 12.1596

y = 1.0133x - 12.1596 + 38

y = 1.0136x + 25.8404

The y value when x= 4:

y - 38 = 1.0133(4) + 25.8404

y - 38 = 4.0532 + 25.8404

y = 29.8936

Therefore,

Least square regression:

y = 1.0136x + 25.8404

Value of y if x is 4:

y = 29.8936

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

Read more about Trigonometric ratios at: https://brainly.com/question/13276558

#SPJ1

According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

Learn more about numbers in: https://brainly.com/question/24908711
#SPJ1

The sum of the geometric series for Xac-2 n\((n ~ 1) (~1)" I2"-2 for Ixl < 1 is (1 - x2)\). This is because the series is a summation of the terms (1/x2) multiplied by each power of x from 0 to n, and the sum of the series is the sum of the terms.

To calculate the sum of the geometric series for\(Xac-2 n (n ~ 1) (~1)" I2"-2 for Ixl < 1\), we can use the formula for the sum of a geometric series. The sum of such a series is the sum of the terms (1/x2) multiplied by each power of x from 0 to n. Thus, the sum of the series is given by the formula S = (1/x2) ∑ xn, where n starts at 0 and goes to n. Substituting n = -2 and x = 1 gives us S = (1/1) ∑ 1-2, which simplifies to S = (1/1) (1 - 1-2) = (1 - 1-2) = (1 - x2). Hence, the sum of the series is (1 - x2).

Learn more about  geometric series here

https://brainly.com/question/21087466

#SPJ4

There are 1820 different orders possible for selecting any 4 toppings out of a list of 16 toppings.

To calculate the number of different orders possible for selecting any 4 toppings out of a list of 16 toppings,

we can use the combination formula:

nCr = n! / r!(n-r)!

where n is the total number of items, r is the number of items to be selected, and ! represents the factorial operation.

Substituting the given values, we get:

16C4 = 16! / 4!(16-4)!

16C4 = (16 × 15 × 14 × 13) / (4 × 3 × 2 × 1)

16C4 = 1820

Therefore, there are 1820 different orders possible.

Option D. 1,820 is the correct option.

Learn more about combination here: https://brainly.com/question/31050063

#SPJ1

Answer:

If they both sell half then Kyle would have 1.5:1 and Yasmine would have 18 pennants.

Step-by-step explanation:

It will change because if they both sell half, they would have to multiply by .05  or divide by 2 because that is half of something.

3/2 or 3*0.5 = 1.5

2/2 or 2*0.5 = 1

36/2 or 36*0.5 = 18

So Kyle would have 1.5:1 pennants left and Yasmine would have 18 pennants left.

Answer:

you need 45 nickels

Step-by-step explanation:

Answer:

the answer would be 27.6.

Step-by-step explanation:

sorry for the horrible handwriting, hopefully u can understand this!!

Answer:

106

Step-by-step explanation:

Bring the values to one side and change the signs

Always substitute in brackets

_=136+(-30)

106=136-30

Thus your answer is 106

Answer:

not on screen

Step-by-step explanation:

rate of change of 0 is a horizontal line

Answer:

Step-by-step explanation:

Given:

Then:

Solve the expression:

x/y = -2

Then,

x = -2

y = 1

=》y/x = 1/-2 = -1/2

The remaining steps are attached. Please check.

=》 Final answer = √17/4 = 2.061 (approx.)

______

RainbowSalt2222 ☔

Answer:

A.

Step-by-step explanation:

Subtract -4x on both sides to get to -2y=-4x-8, then you should divide -2 into both sides to get to the slope of y=2x+4 since two negatives would equal to a positive when dividing and multiplying.  Because the slope is positive, it is safe to assume that the first two options A and B are the best options due to their slopes being positive and going up.  The y-intercept is 4 which makes the answer A because on 0 it is on the positive side.

Step-by-step explanation:

An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). In the acute triangle shown below, ∠a, ∠b and ∠c are all acute angles. Example 1: A triangle has angles 46°, 63° and 71°.

Answer:

12

Step-by-step explanation:

Answer:

Each dress would cost 72

Step-by-step explanation:

36% of 200 is 72

The values of x and z° are x = 14 and z = 12° , respectively.

In geometry, an angle is a measure of the amount of rotation between two intersecting lines or line segments. It is typically measured in degrees or radians. Angles are important concepts in geometry as they help us to understand and describe the relationships between different geometric figures.

An angle is formed by two rays or line segments that share a common endpoint called the vertex of the angle. The rays or line segments are referred to as the sides of the angle. The size of an angle is determined by the amount of rotation between the two sides, measured in degrees or radians.

Vertical opposite angles are congruent, which means that:

6x - 6 = 9x - 48

Simplifying this equation, we get:

3x = 42

Dividing both sides by 3, we get:

x = 14

Now we can use the value of x to find the measure of the adjacent angle z:

z = 180 - (6x - 6 + 9x - 48)

Simplifying and substituting x = 14, we get:

z = 180 - (6(14) - 6 + 9(14) - 48)

z = 180 - (84 - 6 + 126 - 48)

z = 180 - 168

z = 12°

Therefore, the values of x and z are x = 14 and z = 12° , respectively.

To know more about Vertical  visit:

https://brainly.com/question/30927970

#SPJ1

For the given figure we used the angles of intersecting lines, the values of x is 14 while the value of z° is 102°.

In geometry, an angle is a measure of the amount of rotation between two intersecting lines or line segments. It is typically measured in degrees or radians. Angles are important concepts in geometry as they help us to understand and describe the relationships between different geometric figures.

An angle is formed by two rays or line segments that share a common endpoint called the vertex of the angle. The rays or line segments are referred to as the sides of the angle. The size of an angle is determined by the amount of rotation between the two sides, measured in degrees or radians.

Since the vertical opposite angles are equal, we can set them equal to each other and solve for x:

6x - 6 = 9x - 48

Subtracting 6x from both sides, we get:

-6 = 3x - 48

Adding 48 to both sides, we get:

42 = 3x

Dividing by 3, we get:

x = 14

Now, we can find the value of angle z:

angle z + (6x - 6) = 180                     [Linear pair]

Substituting x = 14, we get:

angle z + 78 = 180

Simplifying, we get:

angle z = 180 - 78

angle z = 102°

Therefore, x = 14 and angle z = 102°.

To know more about vertical opposite angles, visit:

https://brainly.com/question/18045519

#SPJ1

On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y

A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.

The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:

x = 1.49y

-1.49y + x = 0

-149y + 100x = 0

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ1

The linear equation in the required form is: x - 1.49y = 0

What is linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:

y = mx + b

Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."

Using this information, we can write:

x = 1.49y

To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.

Subtracting 1.49y from both sides, we get:

x - 1.49y = 0

So the linear equation in the required form is:

x - 1.49y = 0

To learn more about linear equation from the given link:

https://brainly.com/question/11897796

#SPJ1

Answer:

$34.30

Step-by-step explanation:

Use the equation:

F=P(r)

F=final price

P=principal (starting) amount

r=rate, normally a percent and has to be converted to a decimal

**Since this problem asks us to go down, there is no 1+r. That's when it gives us the final price and asks us to find the original.

Plug in the values: F = 49(.7)

F=$34.30 (don't forget the $ sign)

Answer:

4/9

Step-by-step explanation:

Put it in a calculator and you get .4 but there's a lot of 4's. That's the repeating decimal.

Answer:4/9 and 4/7

Step-by-step explanation: Trust

Remove the parentheses and combine the like terms:

7 - -9 = 7+ 9 = 16

6i - -8i = 6i +8i = 14i

The answer is 16 + 14i

The expression of logarithmic function, f(x) = ln (1/gᵏ) after all possible expansion is equals to the f(x) = - k × ln( g).

In mathematics, the logarithmic function is defined as inverse function to exponent function and defined as f(x) = logₐx where a is base of function. Properties of Logarithmic Functions :

We have, a natural logarithmic function, i.e., base = 10, f(x) = ln (1/gᵏ) and we have to expand it. To expand logarithms means write them as a sum or difference product of logarithms. The order to apply rules is quotient rule, product rule and then power rule. So, f(x) = ln (1/gᵏ)

applying quotient rule,

=> f(x) = ln(1) - ln( gᵏ)

Appling power rule,

=> f(x) = ln(1) - k ln( g)

Applying Zero Exponent Rule,

=> f(x) = 0 - k × ln( g)

Hence, the required expansion is f(x) = - k × ln( g).

To learn more about Logarithmic function, refer:

https://brainly.com/question/30283912

#SPJ4

The area of a parallelogram has the following formula: A=bh

Plug-in the given numbers.

Base=14cm

Height=13cm

A=bh

A=14 x 13

A=182

Therefore, the area of the figure is 182cm2

Answer:  182 square centimeters

Step-by-step explanation:

The formula for finding the area of a parrallelogram is A = bh.  If the top measurement is 14 cm, then the bottom measurement is also 14 cm.  The height is 13 cm.  

A = (14) (13)

A =  182 cm^2  

The slope of the line that passes through the points (7,-4) and (11,-4) is 0.

The slope of a line is found by using the formula:

slope = (change in y)/(change in x)

To find the change in y, subtract the y-coordinate of one point from the y-coordinate of the other point:

-4 - (-4) = 0

To find the change in x, subtract the x-coordinate of one point from the x-coordinate of the other point:

11 - 7 = 4

Now we can use the formula to find the slope:

slope = 0/4 = 0

To learn more about : slope

https://brainly.com/question/16949303

#SPJ11

Answer:

77.5

Step-by-step explanation:

(22 - 9)/2 = 13/2 = 6.5

9 * 5 + 2 * (6.5 * 5)/2 = 45 + 6.5 * 5 = 77.5

Answer:

Step-by-step explanation:

Solve the System of Equations

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−1,7)

Equation Form:

x=−1,y=7

394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

To know more about venn diagram, visit:

brainly.com/question/28060706

#SPJ1