Reduce to the standard form

1) -18/45

The business cycle is a recurring pattern of economic expansion and contraction that occurs in economies over time. Each business cycle typically consists of four phases: expansion, peak, contraction, and trough.

The peak is the highest point of economic activity within a business cycle. It marks the end of the expansion phase and the beginning of the contraction phase. During this phase, economic indicators, such as GDP, employment, and consumer spending, reach their highest levels.

The peak is indeed a part of the business cycle. It represents the phase of maximum economic activity and is characterized by various indicators reaching their highest points. This phase is followed by the contraction phase, where economic activity slows down. Therefore, the peak is a crucial element in understanding and analyzing business cycles.

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Answer:

The answer is D; Hanna is not correct,. The fraction 1/4 is equal to 2/8, so you can graph it on the second tick mark to the right of zero.

Step-by-step explanation:

Because the number line is broken up into 8 parts, the points on the graph are, 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8 (also known as one)

1/4 = 2/8. We know this because if we multiply 1/4 by 2, we get 2/8.

So, because 2/8 is the same as 1/4, we know that Hanna is not correct, and that you can graph 1/4 on this number line, because it is the same as 2/8.

I hope that this helps :)

Answer:D the last one.

Step-by-step explanation:

Step-by-step explanation:

5 times 7 times 7 since there are two sevens that means both sides are the same and thar means it is a square and that the other sides are the same makeing it so Q=5

Answer:

it is equal because in a rectangle there is a property: opposite sides are equal so BD=CA

Step-by-step explanation: PLS MARK BRAINLIEST

Answer:

BD = CA (Corresponding Element)

Step-by-step explanation:

BAC & BDC Triangle

BAC = BDC (right angle)

BA = DC (Opposite sides are Equal)

BC (equal to both)

BAC congruent BDC under the case of (Angle Side Side)

therefore BD = CA (corresponding angle)

Answer:

A

Step-by-step explanation:

because x does not repeat

Without knowing which specific function you're referring to, the answer to this question may depend on the type of function and the nature of the iterative process applied to it. In some cases, the function value may converge towards a limiting value as the number of iterations increases, while in other cases it may oscillate or diverge.

For example, in the case of the fixed-point iteration method used to find the root of a function, the value of the function typically converges towards the root as the number of iterations increases. More specifically, if we have a function f(x) and a starting guess x0 for its root, we can use the iterative formula x(+1)=g(x()), where g(x) is some function that we set based on f(x), to generate a sequence of increasingly accurate approximations to the root. As the number of iterations increases, this sequence of approximations typically converges towards the root of the function, unless some conditions are not met (e.g., the method is not well-suited for some functions, or the iteration formula is not properly set.)

In the case of other types of iterative methods or other functions, however, the behavior of the function value as the number of iterations increases may differ. For instance, in some cases, the function value may oscillate between two or more values or diverge to infinity as the number of iterations increases.

Therefore, the specific behavior of the function value as the number of iterations increases may depend on the specific function being evaluated and the iterative method used.

AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.

What is triangle?

A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.

Since we have:

∠A ≅ ∠Y

∠B ≅ ∠X

∠C ≅ ∠Z

We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.

Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:

AB : YX = BC : XZ = AC : YZ

where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.

In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.

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Answer:

6 min

Step-by-step explanation:

5 kilometers = 5,000 meters

500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.

Answer:

the third side must fall between 3 and 13.

Step-by-step explanation:

3) To determine the range of possible values for the third side of a triangle given two side lengths, we use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So, for the given side lengths of 23 and 14, the possible range of values for the third side would be:

23 - 14 < x < 23 + 14

9 < x < 37

Therefore, the third side must fall between 9 and 37.

4) Using the same theorem, we can find the range of possible values for the third side with the given side lengths of 5 and 8:

8 - 5 < x < 8 + 5

3 < x < 13

Therefore, the third side must fall between 3 and 13.

The probability that the number of the purple point is greater than the number of the green point, but less than twice the number of the green point is 1/4

Let the "green" value be an x value lying on segment AC.

Now, the segment AC has the equation y = x. Then, let the "purple" value that is twice a selected x value lie on the segment AE and as such, the equation of this line is y = 2x.

It must be noted that at point E, x = 0.5 and y = 1. This means at every x value on AC greater than 0.5, the value of y on EC associated with this x value is is less than twice that x value.

Then, between segments AE and AC, every value of y will be greater than, but less than twice, its associated x value.

Since triangle ACD has an area of 1/2 and triangle BEA has an area of 1/4, then we can say that;

Triangle AEC area = 1 - (1/2) - (1/4)   = 1/4.  

Thus,  the probability that the number of the purple point is greater than the number of the green point, but less than twice the number of the green point is 1/4

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Answer:

A:

f(x)= \(-3/2x-3\)

g(x)= \(-4\)

h(x)= \(1/4x+2\)

B:

haven't done range in a while srry :/

C:

h(15) would be greater because the graph is increasing as the f(15) graph is decreasing

Answer:

(1,3), (1,6), and (-1,3)

Step-by-step explanation:

The line x=2 means that it will be a vertical line that goes through (2,0). If you reflect Triangle A over the line, point (3,3) will be moved to (1,3), point (3,6) will be (1,6), and point (5,3) will be (-1,3).

Answer:

\(gradient \: of \: y = 3x - 5 \: is \: 3 \\ m = 3 \\ for \: perpendicular \: m {}^{.} \times m = - 1 \\ 3m {}^{.} = - 1 \\ m {}^{.} = - \frac{1}{3} \\ from \: \: y = mx + c \\ at \: (8,5) \: \: 5 = - \frac{1}{3} \times 8 + c \\ c = - \frac{15}{8} \\ hence \: \: y = - \frac{1}{3} x - \frac{15}{8} \)

The correct option is A, the lower quartile (Q1) and it is 75.

We must comprehend the quartiles of the box plot in order to calculate the number below which 25% of the data lies.

A box plot's interquartile range (IQR), which contains the middle 50% of the data, is represented by the box.

The median, which splits the data into two equally sized half, is shown by the line inside the box.

Here, the box has a line at 79 and spans from 75 to 82.

Accordingly, the lower quartile (Q1) and the upper quartile (Q3) are both situated near the box's boundary, which is 75 and 82, respectively.

The line inside the box, which is 79, is the median (Q2).

The first quartile (Q1) or the 25th percentile must be identified in order to establish the number below which 25% of the data lies.

The first quartile in a box plot symbolizes the number below which 25% of the data is found.

Since Q1 is located at the lower boundary of the box, which is 75, 25% of the data lies below the score of 75.

Hence the correct option is A.

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n - 2.5 represent the Cost Price after a discount of 2.50

Given parameters,

Modeling of the total cost = 35 + 3(n - 2.5)

The general format of models like this is as follows;

Price + quantity (cost after coupon)

Coupon literally is a code that are used to obtain a discount on the current purchase

By comparison;

Price = 35 (i.e. current dress price).

Quantity = n (i.e. the number of shirts bought)

Lastly, cost after coupon = n - 2.5

It is stated that she applies a coupon on each T shirt

This can be interpreted to: removing a total discount of $2.50 from the three t-shirt.

By removing, the expression is given as negative $2.5

Hence,

n - 2.5 represent the total cost on each T shirt after coupon is applied

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Answer:

25 degree

Step-by-step explanation:

23 - 25 = -2 degree

So, the temperature change is 25 degrees.

Answer:

18 tsp of cocoa

Step-by-step explanation:

3 tsp : 1 cup

? tsp : 6 cups

6 / 1 = 6

3 x 6 = 18

Answer

(1,2)

Step-by-step explanation:

Answer:

6,3

Step-by-step explanation:

The cost function for folding bicycles is given by c ( x ) = 4300 510 x 0.2 x 2 and the demand function p ( x ) = 1530. The production level that will maximize the profit is 2,550 folding bicycles

To maximize profit, you need to find the production level at which the difference between revenue and cost is the greatest. First, let's define the given functions:
Cost function, C(x) = 4300 + 510x + \(0.2x^{2}\)
Demand function, P(x) = 1530
The revenue function can be calculated as the product of price and quantity:
Revenue function, R(x) =P(x) × x = 1530x
Now, the profit function is the difference between the revenue and the cost:
Profit function, π(x) = R(x) - C(x) = 1530x - (4300 + 510x + \(0.2x^{2}\))
Simplify the profit function:
π(x) = 1020x - \(0.2x^{2}\) - 4300
To find the production level that maximizes the profit, you need to find the critical points of the profit function by taking its first derivative and setting it equal to zero:
π'(x) = 1020 - 0.4x
Now, set the first derivative equal to zero and solve for x:
0 = 1020 - 0.4x
0.4x = 1020
x = 2550
Thus, the production level that will maximize the profit is 2,550 folding bicycles.

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Answer:

91.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

since it is an equilateral triangle all sides =8

bit bisector BD AC into equal halfs.so AD=4

bow to find BD use pythagoras theorem

H^2=P^2+B^2

AB^2=AD^2+BD^2

8^2=4^2+BD^2

64-16=BD^2

\(\sqrt{48}\)=BD

4\(\sqrt{3}\)=BD

Yes, 8.546 = 8546/1000.

Remember that a rational number is the ratio between two integers. So any integer, like 8, is also a rational number because it's the ratio between the two integers 8 and 1:

8 = 8/1

So we have

8.546 = 8 + 0.546

= 8/1 + 546/1000

= 8000/1000 + 546/1000

= 8546/1000

Answer:

5 blocks south and 1 block west ( I think that's right sorry if its wrong I'm heading off to bed)

Answer:

x = \(\frac{1}{2}\)

Step-by-step explanation:

Given that z is inversely proportional to x then the equation relating them is

z = \(\frac{k}{x}\) ← k is the constant of proportion

To find k use the condition z = 5 when x = 7 , then

5 = \(\frac{k}{7}\) ( multiply both sides by 7 )

35 = k

z = \(\frac{35}{x}\) ← equation of proportion

When z = 70 , then

70 = \(\frac{35}{x}\) ( multiply both sides by x )

70x = 35 ( divide both sides by 70 )

x = \(\frac{35}{70}\) = \(\frac{1}{2}\)

Answer:

i forgot about it but ye its cool

Step-by-step explanation:

ooh I love life is fun it one of a good songs

Answer:

12

Step-by-step explanation:

using pythagoras theorem

here 15 is hypotenuse since it is opposite 0f 90 degree

9 and x are the other smaller sides of a triangle

according to pythagoras thorem the sum of square of two smaller sides of a triangle is equal to the square of hypotenuse. So,

9^2 + x^2 = 15^2

81 + x^2 = 225

x^2 = 225 - 81

x^2 = 144

x = \(\sqrt{144\)

x = 12

a. 2⁴= 2×2= 16.

b. (-4)²=

since the power of two is even, the result will be positive.

4²= 2×2×2×2=16.

c. 5³*4=

d. 0.7²=0.49.

e. 5(4²+9²-121°)

5×(16×81-121°)

x°=1

121°= 1.

5×(16+81-11).

16+81-1= 96

5 ×96= 480

ANS= 480.

F. 5 5÷ 5³

5 5= 5×5×5×5×5 = 3125

5³= 5×5×5=125

3125÷125= 25.

G. 11¹0÷11–⁴ =

11¹0= 25937424601.

use negative power rule.

25937424601÷¹/11⁴

11⁴= 14641

25937424601÷ ¹/14641

use this rule a÷ b/c= a×c/b.

25937424601 ×14641/1 = 379749833583241.

H. √5²+12² - 4

√25+ 144 -4

√169-4

square root of 169=13

13-4= 9.

I. ³√-4×16

-4×16= -64.

³√64= -4

J. ⁴√50625

Rewrite 50625 as it's prime factor.

⁴√3×3×3×3×5×5×5×5.

Group the same prime factors into groups of four.

⁴√(3×3×3×3)×(5×5×5×5).

Rewrite each group if four in four exponent form.

⁴√3⁴×5⁴

Use the rule ⁴√x⁴=x.

3×5=15.

Given statement solution is :-The y-intercept (b) is -1.

Now we can write the equation of the line in slope-intercept form:

y = (3/4)x - 1

To express the equation of a line in slope-intercept form (y = mx + b), you need two pieces of information: the slope (m) and the y-intercept (b).

To find the slope (m), you can use the formula:

m = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are two points on the line.

In this case, we have the points (-4, -4) and (4, 2). Plugging these values into the slope formula:

m = (2 - (-4)) / (4 - (-4))

= (2 + 4) / (4 + 4)

= 6 / 8

= 3 / 4

So, the slope (m) is 3/4.

To find the y-intercept (b), you can choose one of the given points and substitute its coordinates into the equation y = mx + b. Let's use the point (-4, -4):

-4 = (3/4)(-4) + b

-4 = -3 + b

b = -4 + 3

b = -1

Therefore, the y-intercept (b) is -1.

Now we can write the equation of the line in slope-intercept form:

y = (3/4)x - 1

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