Good points please answer

Good Points Please Answer

Answers

Answer 1

The values of sin2x, cos2x and tan2x is -3/5, -4/5 and 3/4 respectively.

What is sine function?

The ratio of the opposite side's length to the hypotenuse of a right-angled triangle is known as the sine function in trigonometry. A right triangle's unknown sides or angles can be determined using the sine function. The ratio of the side opposite the angle (also known as the perpendicular) and the hypotenuse is known as the sine of an angle in a right-angled triangle.

The ratio of the perpendicular of a right-angled triangle to the hypotenuse is known as the sine of the angle. The following is the sin formula: sin = Perpendicular / Hypotenuse.

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Related Questions

Mr. Radmanic and Mrs. Chin both fill up their cars with gasoline at the beginning of the week. The equation compares the number of miles driven, x, to the amount of gasoline in the tank, y. Find and compare the y-intercepts for the models and interpret their real world meanings

Answers

The y-intercepts for the models are equal to 13.2.

What is slope?

A line's steepness and direction are measured by the line's slope.

Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all

Any two different points on a line can be used to calculate the slope of any line.

A line's slope is determine by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.

Two locations located on a straight line can be used to determine a line's slope. We can use the slope of line formula if we know the two spots' coordinates. These two points' coordinates should be-

P1 = (x1, y1) and P2 = (x2, y2)

Hence, The y-intercepts for the models are equal to 13.2.

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Can you help me thank you so so much Really having trouble in math

Answers

Answer:

Step-by-step explanation:

the answer is A

Answer:

A.) [tex]\frac{-343}{27}[/tex]

Step-by-step explanation:

Looking at the available answers, I'm assuming the expression is [tex](-2-\frac{1}{3})^3[/tex].

So,

[tex](-2-\frac{1}{3})^3\\(-\frac{6}{3}-\frac{1}{3})^3\\(\frac{-7}{3})^3[/tex]

Use the exponent rule that states [tex](\frac{a}{b})^m=\frac{a^m}{b^m}[/tex]

So,

[tex](\frac{-7}{3})^3\\\frac{(-7)^3}{3^3}\\\frac{-343}{27}[/tex]

Jordan and his children went into a restaurant and he bought $26 worth of drinks and tacos. Each drink costs $2. 50 and each taco costs $2. He bought 4 more tacos than drinks. Write a system of equations that could be used to determine the number of drinks and the number of tacos that jordan bought. Define the variables that you use to write the system.

Answers

Using the equations 2x+2.5y=26 and x=y+4, Jordan also brought 4 beverages and 8 tacos.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical sentence with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

Let x be the tacos and y be the drinks,

cost of each drink=$2.5

cost of each tacos=$2

2x+2.5y=26

x=y+4

2(y+4)+2.5y=26

2y+8+2.5y=26

4.5y=18

y=18/4.5

y=4

x=y+4

x=8

Jordan brought 8 tacos using the system of equation as 2x+2.5y=26 and x=y+4 as well as 4 drinks.

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Dominic is a server at a restaurant. Each dish at the restaurant costs $8. A sales tax of 8% is charged. The total bill amount includes the sales tax of the meal. Dominic earns tips left by customers. The amount of money tipped can be represented by a percentage of the total bill. Order the tip amounts from least to greatest tip, in dollars. 4 dishes 20% tip 6 dishes 14% tip 7 dishes 11% tip

Answers

Answer: To find the tip amount in dollars for each order, you need to multiply the total bill amount by the tip percentage.

For the first order of 4 dishes, the total bill amount is $8 per dish * 4 dishes = $<<8*4=32>>32.

The tip amount is $32 * 20% = $6.40.

For the second order of 6 dishes, the total bill amount is $8 per dish * 6 dishes = $<<8*6=48>>48.

The tip amount is $48 * 14% = $6.72.

For the third order of 7 dishes, the total bill amount is $8 per dish * 7 dishes = $<<8*7=56>>56.

The tip amount is $56 * 11% = $6.16.

So, the tip amounts from least to greatest are $6.16, $6.40, and $6.72.

(2x)/(25)=(0.4)/(0.15)

Answers

For Solve the x, simplifying both sides of the equation so it would be x=33.3

Ann has 30% less money than mary, and jessica has 70% more money than mary. If the three of them have a total of $102, how much money does each girl have individually?.

Answers

If Ann has 30% less money than mary, and jessica has 70% more money than mary and If the three of them have a total of $102, then Ann has $50.7, Mary has $51 and Jessica has $51.7

What is meant by percentage?

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It can be stated as a decimal or a fraction and is frequently represented by the sign "%". 50%, for instance, can be written as 0.5 or 1/2. A component or proportion of an entire is represented using percentages. For instance, if a student receives a 75% on an exam, it indicates that they correctly answered 75 out of 100 questions individually. Percentages are often used in everyday life to represent changes such as a rise or fall in pricing, an increase or reduction in population, or a growth or drop in sales. Percentages may be determined in mathematics using a variety of formulae and ideas including proportions, ratios, and decimals.

How to solve?

Ann has 30/100 * $x = $0.3x less money than Mary

Jessica has 70/100 * $x = $0.7x more money than Mary

Mary, Ann and Jessica have a total of $102

Mary + Ann + Jessica = $102

Mary + (Mary - $0.3x) + (Mary + $0.7x) = $102

3Mary = $102 + $0.3x + $0.7x

3Mary = $102 + $1x

3Mary = $102 + $x

3Mary - $x = $102

2Mary = $102

Mary = $102/2 = $51

Ann = Mary - $0.3x = $51 - $0.3x = $50.7

Jessica = Mary + $0.7x = $51 + $0.7x = $51.7

Ann has $50.7, Mary has $51 and Jessica has $51.7.

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If Ann has 30% less money than mary, and jessica has 70% more money than mary and If the three of them have a total of $102, then Ann has $50.7, Mary has $51 and Jessica has $51.7

What is meant by percentage?

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It can be stated as a decimal or a fraction and is frequently represented by the sign "%". 50%, for instance, can be written as 0.5 or 1/2. A component or proportion of an entire is represented using percentages. For instance, if a student receives a 75% on an exam, it indicates that they correctly answered 75 out of 100 questions individually. Percentages are often used in everyday life to represent changes such as a rise or fall in pricing, an increase or reduction in population, or a growth or drop in sales. Percentages may be determined in mathematics using a variety of formulae and ideas including proportions, ratios, and decimals.

Ann has 30/100 * $x = $0.3x less money than Mary

Jessica has 70/100 * $x = $0.7x more money than Mary

Mary, Ann and Jessica have a total of $102

Mary + Ann + Jessica = $102

Mary + (Mary - $0.3x) + (Mary + $0.7x) = $102

3Mary = $102 + $0.3x + $0.7x

3Mary = $102 + $1x

3Mary = $102 + $x

3Mary - $x = $102

2Mary = $102

Mary = $102/2 = $51

Ann = Mary - $0.3x = $51 - $0.3x = $50.7

Jessica = Mary + $0.7x = $51 + $0.7x = $51.7

Ann has $50.7, Mary has $51 and Jessica has $51.7.

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Over which interval is this function continually decreasing? f(x) = |4(x - 1)| + 2

Answers

The interval at which the function f(x) = |4(x - 1)| + 2 is decreasing is (- ∞, 1).

What is an absolute value function?

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

We know in an absolute value function y = |x - h| + k, the vertex is (h, k) and it changes its direction from here.

Given, f(x) = |4(x - 1)| + 2 has a vertex at (1, 2).

Therefore the interval where the function is continuously decreasing is

( - ∞, 1).

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HURRY I GOT 24 HOURS FOR THIS PLEASE HURRY!!!!!!
The area of the triangle below is 25/24

square inches. What is the length of the base? Express your answer as a fraction in simplest form.

Answers

Answer:

Base is 5/2

Step-by-step explanation:

lets say that 2x = the base.

25/24 = 2( [tex]\frac{1}{2}[/tex]([tex]\frac{5}{6}[/tex])x)

[tex]\frac{25}{24}[/tex] = 2( [tex]\frac{5}{12}[/tex]x)

[tex]\frac{25}{24}[/tex] = [tex]\frac{5}{6}[/tex]x

[tex]\frac{25}{24}[/tex] times [tex]\frac{6}{5}[/tex]= x

5/4 =x

2x = 10/4

2x = 5/2

Indicate whether the measures 4. 35, 5. 8, and 7. 25 can be the side lengths of a triangle. If they can, classify the triangle. PLEASE HELP!!


yes; right

yes; obtuse

yes; acute

no

Answers

Classification of given triangle is right angle triangle.

Let's suppose a, b and c are the sides of a triangle.

then we know that sum of 2 sides is always greater than third side.

a + b>c

b + c>a

c + a>b

a = 4.35, b = 5.8 , c = 7.25

a + b>c 4.35+5.8 = 10.15>7.25

b + c>a  5.8 + 7.25 =  13.05>4.35

c + a>b 7.25+4.35 = 11.60>5.8

So now we can say given side lengths are representing sides of a triangle.

It generalizes the Pythagorean Theorem, which states that for a right-angled triangle square of the hypotenuse is equal to the sum of squares of the base and height of the triangle, which is [tex]c^2 = a^2 + b^2[/tex]      

Similarly, It can be observed that

For acute-angled triangle

[tex]c^2 < a^2 + b^2[/tex]    

For Obtuse-angled triangle

[tex]c^2 > a^2 + b^2[/tex]

[tex]a^2 + b^2[/tex] = 18.9225 + 33.64 = 52.5625

[tex]c^2[/tex] = 52.5625

clearly we can see that [tex]a^2+b^2 = c^2[/tex]

So given triangle is Right-angled triangle.

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What is the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean?.

Answers

The relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean is wider than one other.

Confidence interval:

In statistics, confidence interval means  the probability that a population parameter will fall between two set values.

Given,

Here we need to find the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean.

According to the given question, the given confidence interval values are 90% and 95 %.

When we convert this percentage value into decimal, then we get the value as,

90% = 0.9

95% = 0.95

Here a 95 percent confidence interval, you have a 5 percent chance of being wrong.

And with a 90 percent confidence interval, you have a 10 percent chance of being wrong.

Therefore, 90 percent confidence interval would be wider than a 95 percent confidence interval.

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7) Skyler buys 8 T-shirts and 5 hats for $220. The next week, he buys 5 T-shirts and 1 had for $112. How
much does each T-shirt and each hat cost? Write a system of equations that can be used to solve the problem.

Answers

The cost of each T-shirt and each hat is $20 and $12 respectively.

Step-by-step explanation:

As given in question that Skyler buys 8 T-shirts and 5 hats for $220.

The next day, he buys 5 T-shirts and 1 hat for $112.

We have to find the cost of T-shirt and hat each.

Let the cost of T-shirt and hat is x and y respectively.

According to the question,

8x + 5y = 220          ............(i)

5x + 1y = 112             ............(ii)

Multiply by 5 in eq. (ii)

25x + 5y = 560        ............(iii)

Now subtract eq. (iii) - eq. (i)

25x + 5y = 560

- 8x + 5y = 220

17x = 340

[tex]x = \frac{340}{17}[/tex]

∴ x = 20

Put the value of x in eq. (ii)

5 x 20 + y = 112

100 + y = 112

y = 112 - 100

∴ y = 12

Hence the cost of each T-shirt and each hat is $20 and $12 respectively.

For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find m

Answers

The measure of m∠x is 110°

What is the Isosceles Triangle?

Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides.

We have,

given the triangle Δwxy,

m∠y = 35°, and

there are two similar sides to the triangle wx ≅ xy,

Properties of an Isosceles Triangle are:

The two sides are congruent with each other.

The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

The two angles opposite to the equal sides are congruent with each other. That means it has two congruent base angles and this is called an isosceles triangle base angle theorem.

The angle which is not congruent to the two congruent base angles is called an apex angle.

The altitude from the apex of an isosceles triangle bisects the base into two equal parts and also bisects its apex angle into two equal angles.

The altitude from the apex of an isosceles triangle divides the triangle into two congruent right-angled triangles.

The two angles opposite to the equal sides are congruent with each other.

so, m∠w = m∠y = 35°

The sum of measure of the angles of the isosceles triangles is 180.

so,

m∠w + m∠x + m∠y = 180

35 + 35 + m∠x = 180

m∠x = 180 - 70

m∠x = 110°

Hence, the measure of m∠x is 110°.

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Please help me solve!

Answers

Answer:

81.5%

Step-by-step explanation:

Note that 90 is 2 standard deviations away from 144, which accounted for 47.5% area

171 8 is 1 standard deviations away from the mean is which is 34% area.

So the total area is 81.5%

if a:3=12:a, calculate the positive of a

Answers

When a:3=12:a, then the positive of a will be 6.

Given, the  following quadratic equation

a : 3 = 12 : a

That is,

a/3 = 12/a

By cross- multiplication of the values, we will get

a * a = 12 *3

a ^ 2 = 36

From the above equation, we calculate the square root for the value a.

Therefore, we get the square root of,

a ^ 2 = 36

a = 6 ( as the square root of 36 is 6)

So, we can say that when a : 3 = 12: a the positive of a will be 6

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Help me solve this two column proof!

Answers

The two column proof is written as follows

Statement                                                           Reason

AD ≅ BD ≅ CD                                         given

ΔADB and ΔCDB are isosceles             Base angles are equal

< A =  < C = < ABD = < CBD = x              Definition of isosceles triangle.

< ABC =  < ABD + < CBD                         Adjacent angles

< ABC = x + x = 2x                                   Substitution property of equality

< ABC + < A + < C = 180                          Sum of angels of a triangle

2x + x + x = 180                                       Substitution property of equality

4x = 180                                                   Addition property of equality

x = 45 degrees                                        Division property of equality

< ABC = 2x = 2 * 45                                Substitution property of equality

< ABC = 90                                              Definition of right triangle

What is a right triangle?

A triangle is said to be a right triangle if one of the angles is 90 degrees. Right angles are angles that are 90 degrees.

The proof required to proof that < B is 90

With the isosceles triangle giving and the equal sides the equation is written as

4x = 180

x = 45

< B has 2x (< ABD + < CBD) these are adjacent angles

< B = 2 * 45

< B = 90

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hree people are asked to throw a fair die. what is the probability that all of them get the same number

Answers

The probability that all of them get the same number is 1/36.

Given :

Three people are asked to throw a fair die.

Probability :

Probability is a branch of mathematics that deals with the occurrence of a random event.

In one dice probable outcomes 1, 2, 3, 4, 5 and 6

Total out comes in three dice = ( 6 * 6 * 6 = 216 )

Probability of getting 1 = 1/216

Similarly for 2, 3, 4, 5 and 6

Probability of getting same number = 6 * 1/6 * 1/6 * 1/6

= 6*1/6 * 1 * 1 / 6 * 6

= 6/6 * 1/36

= 1 * 1/36

= 1/36

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A pair of shoes are priced at $35.99 but is on sale for 20% off. What is the sale price of the shoes?

Answers

Answer: $28.79

Find 20% of $35.99.

Then subtract that answer (7.2) from $35.99

your answer is

The shoes where on sale for $28.79

Find the volume of this right solid. The base is a square with
sides 6 meters long. The cylindrical hole has a diameter of 3 m.
Round answer to 2 decimal places.

Answers

The volume of the cylinder is 21.2m³

Volume of a Cylinder

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. The formula is given as πr²h, where r is the radius of the circular base and h is the height of the cylinder.

V = πr²h

v = volumer = radius = diameter / 2h = height

radius = diameter / 2

radius = 3 /2

radius = 1.5m

v = π × 1.5² × 3

v = 21.2m³

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WILL VOTE BRAINLIEST IF POSSIBLE!!
What is the relationship between the following two sequences? Sequence 1: 0, 1, 2, 3, 4, 5… Sequence 2: 0, 4, 8, 12, 16, 20… Group of answer choices The terms in Sequence 2 are four times as large as the terms in Sequence 1. The terms in Sequence 2 are twice as large as the terms in Sequence 1. The terms in Sequence 2 are three times as large as the terms in Sequence 1. The terms in Sequence 2 are half as large as the terms in Sequence 1.

Answers

Answer:

The terms in Sequence 2 are four times as large as the terms in Sequence 1.

Step-by-step explanation:

If we take a look at the numbers,

Sequence 1: 0, 1, 2, 3, 4, 5

Sequence 2: 0, 4, 8, 12, 16, 20

We can see that 0 × 4 = 0,

1 × 4 = 4,

2 × 4 = 8,

And so on.

We can also see in sequence 2 that 4 is added to each of the numbers every time, whereas the first sequence is simply counting up.

Therefore, we can conclude that the terms in Sequence 2 are four times as large as the terms in Sequence 1.

Ms. Wilson purchased a welcome mat for her front porch that is a semicircle. The straight side of the mat is 38 inches. To the nearest hundredth, what is the area of the porch mat?

Answers

Answer:

567.06 in.²

Step-by-step explanation:

The mat is a semicircle.

The straight side is a diameter.

d = 38 in.

r = d/2 = 19 in.

Area of circle = πr²

Area of semicircle = πr²/2

A = 3.14159 × (19 in.)² / 2

A = 567.06 in.²

The equation of a line is y = 2x - 4. If the equation is changed to y = 2x - 2, how will the graph of the line change?
Responses
A The line will become less steep.The line will become less steep.
B The line will shift right 2 units.The line will shift right 2 units.
C The line will shift up 2 units.The line will shift up 2 units.
D The line will shift left 2 units.The line will shift left 2 units.
E The line will shift down 2 units.

Answers

The equation of a line is y = 2x - 4. If the equation is changed to y = 2x - 2, how will the graph of the line change?

A The line will become less steep.

B The line will shift right 2 units.

C The line will shift up 2 units.

D The line will shift left 2 units.

E The line will shift down 2 units.

due a cupple days ago pls help meee

Answers

Answer:

(0, 2 )

Step-by-step explanation:

If the dilatation is centred at the origin then the original coordinates are multiplied by the scale factor , that is

B (0, 4 ) → ( [tex]\frac{1}{2}[/tex] (0), [tex]\frac{1}{2}[/tex] (4) ) → (0, 2 )

Sarah has a solid wooden cube with a length of centimeter. From each of its 8 corners, she cuts out a smaller cube with a length of centimeter. What is the volume of the block after cutting out the smaller cubes?.

Answers

Therefore ,the volume of the block after cutting out the smaller cubes is  (8/25 cm^2)

What is volume ?

Any three-dimensional solid's volume is just the amount of space it takes up. A cube, cuboid, cone, cylinder, or sphere can be one of these solids.

Volumes vary depending on the shape. We have examined different three-dimensional objects and shapes in geometry, including cubes, cuboids, cylinders, cones, and more. We will learn how to calculate the volume for each of these shapes.

Here,

volume = (8/25 cm2) represents the block's volume after the smaller cubes have been removed.

First, we must determine the volume of a cube with four or five centimeter sides, which is:

V = (4/5 cm)^2 = (16/25 cm^2)

The volume of each of the eight smaller cubes that was removed must now be subtracted.

v = (1/5 cm)^2 = (1/25 cm^2)

After the smaller cubes are removed, the block's volume is:

V - 8v = (16/25 cm^2) - 8*(1/25 cm^2) = (8/25 cm^2)

Therefore ,the volume of the block after cutting out the smaller cubes is  (8/25 cm^2)

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Complete the table below to represent the function: f(x)=x+4

Answers

Answer:

x        0     1     2    3    4

f(x)     4     5    6    7    8

Step-by-step explanation:

f(x) = x + 4

f(0) = 0 + 4 = 4

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

f(4) = 4 + 4 = 8

x        0     1     2    3    4

f(x)     4     5    6    7    8

Consider y=1/2x+1. a. Complete the table for the equation. x y 0 2 4

Answers

The table can be completed as follows x = 0, 2, 4 we get y = 1, 2, 3 for the linear equation [tex]y = \frac{1}{2}x + 1[/tex].

What is a Linear Equation ?

If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.

Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalises the two sides of the equation.

A specific point on the graph represents the solution of a linear equation in two variables, ax+by = c, where the total of these two values will equal c when the x-coordinate is multiplied by a and the y-coordinate by b.

Basically, there are infinitely many solutions to a linear equation with two variables.

The equation is :

[tex]y = \frac{1}{2}x + 1[/tex]

So, when x = 0

y = 1,

when x = 2

y = [tex]\frac{1}{2}*2 + 1[/tex] = 1 + 1 = 2

and , when x = 4

y = [tex]\frac{1}{2}*4 + 1[/tex] = 2+ 1 = 3

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write the following algebraically using x as unknown

"i think of a number , take away 1 and multiply the result by 3

Answers

Answer: (x-1) 3

Step-by-step explanation:

This is equation you want

x is unknown -1 in the mark and then times 3!

HELP!!! NEED ANSWER FAST

Answers

Answer:

y = 1.3x + 10

Step-by-step explanation:

as, y = 1.3 * 5 + 10

= 16.5

Answer: y = 1.3x + 10

Step-by-step explanation: 1.3 x 0 = 0→ 0 + 10 = 10

1.3 x 5 = 6.5→ 6.5 + 10 = 16.5
1.3 x 10 = 13→ 13 + 10 = 23

1.3 x 15 = 19.5→ 19.5 + 10 = 29.5

1.3 x 20 = 26→ 26 + 10 = 36

Hope this helps.

round the fraction or mixed number to the nearest 1/2.
4 and 8/9
answers
4
4 and 1/2
5

Answers

You first have to convert the mixed fraction an improper fraction:

((4 x 9) +8)/9 = 44/9

You then need to divide the numerator by the denominator from the step before:

44/9 = 4.88

Now that we have a decimal we must round by 1 to the left side of the decimal point and make the right side 0

So, 4 8/9 would be 5

Write an equation howing the relationhip. Ue `E` to repreent energy and `d` to repreent the number of day

Answers

Equation for representing energy to the number of days E = P*( 1/d / 1000 )

This formula of energy is used to calculate the use of energy for a given period in a day . The consumption of energy is measured by multiplying the number of power units consumed in a given period.

E = P*(1/d/1000); where E = energy measured in Joules or kilowatt-hours (kWh), P = power units in watts,  and d = time over which the power or energy was consumed in a day  

Thus, whenever someone asks you how to calculate power consumption, you can calculate and answer using the above equation.

Energy consumption can be widely classified based on several factors such as worldwide energy consumption, its impact on the environment, etc.

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Margaret said the exact product of 602 and 341 is 205,282 . Is she correct prove it by showing an algorithm:

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Yes, she is. The exact product of 602 and 341 is 205,282.

What is algorithm in math?

In mathematics, an algorithm is a process, a description of a series of steps that can be used to solve a problem; however, they are now far more prevalent than that. Although many areas of research (and daily life) use algorithms, long division's step-by-step process is probably the most prevalent example.

To determine the exact product of 602 and 341, both numbers must be multiplied, obtaining the result. To do this, said number can be decomposed, to facilitate the operation and to be able to corroborate the accuracy of the result.

So, we can multiply 602 by 300, plus 602 by 40 and 602 by 1, and add the results.

Therefore, since 602 times 300 is equal to 180,600 (602 x 300 = 180,600); that 602 times 40 is equal to 24,080 (602 x 40 = 24,080); and since 602 times 1 is equal to 602, all those values must be added.

So 180,600 plus 24,080 equals 204,680. And in turn, 204,680 plus 602 equals 205,282. Therefore, the proposed result is correct.

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