Cuantos es 998563÷73

The original size of shampoo = 5.36 ounce

In mathematics, percentages are represented as fractions of 100 in the form of integers or ratios. In most cases, they are indicated by "60%" or 65 percentage and 60% can be expressed as (60/100). They can also be expressed as decimal fractions or simple fractions.  

Here are some examples to find percentages,

60% of 200 = (60/100) × 100

50% of n = (50/100) × n  

Here given that

There is a bottle of shampoo whose size is 6.7 ounces

It is given that the bottle says it gives 25 percent freer

Let's assume that the original bottle size is x ounce

As we know the bottle gives you a 25% extra

The free amount that can be given on x ounce = [tex]\frac{25}{100} x[/tex] = 0.25x

then the final size of the battle will be = x + 0.25x = 1.25x ounces

As we the bottle size = 6.7 ounces

=> 1.25x = 6.7      

=>  x = 6.7/1.25 = 5.36

=>  x = 5.36 ounce

Therefore,

The original size of shampoo = 5.36 ounce

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The area of a triangle is 8.

What is the area of a triangle?

Area of a triangle = [s(s - a)(s - b)(s - c)], where s is the triangle's semi-perimeter and a, b, and c are the lengths of the triangle's three sides.

We know that the area of the triangle whose vertices are (x1 ,y1),(x2 ,y2), and (x3, y3) is:

1/2 |x1(y2−y3)+x2(y3−y1)+x3 (y1−y2)|

Area of triangle = 1/2 |-3(5 − 1)+ (-6)(1−1) + 1(1 − 5)|

Area of triangle = 1/2 |-12 + (-4)|

Area of triangle = 8

Hence, the area of a triangle is 8.

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The range between the moon's minimum and maximum temperature in degrees Fahrenheit is 640°F

From the question, we have

Time of Day     Temperature

   Day                 253°F

   Night              -387°F

the moon's minimum temperature =  -387°F

and maximum temperature =  253°F

range = 253 - (-387) =  640°F

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

Complete question:

The table shows the high temperature on the moon during the day and the overnight low temperature.

Time of Day Temperature

Day 253°F

Night –387°F

What is the range between the moon's minimum and maximum temperature in degrees Fahrenheit?

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The total number of residents that voted in the town election is 5275 votes

Total number of votes received = 2300 votes

Consider the total number of votes in the town election = x

She received 190 more than 2/5 of the total number of votes

2/5 of the total number of votes = (2/5)x

190 more than 2/5 of the total number of votes = (2/5)x + 190

The equation will be

(2/5)x + 190 = 2300

Move 190 to the right hand side of the equation

(2/5)x = 2300 - 190

(2/5)x = 2110

0.4x = 2110

x = 2110 / 0.4

x = 5275 votes

Hence, the total number of residents that voted in the town election is 5275 votes

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The distance from the bird to the worm is approximately 61.06 feet.

To set up a right triangle picture to find the distance from the bird to the worm, we can use the given information about the bird's position and the worm's position.

Let's consider the bird at the top of the tree as the highest point of the triangle. The height of the tree, 35 feet, represents the vertical side of the triangle. The worm's position, which is 50 feet from the base of the tree, represents the horizontal side of the triangle.

Now, to find the distance from the bird to the worm, we need to find the hypotenuse of the right triangle, which represents the direct line from the bird to the worm.

By using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can set up the equation:

h² = 35² + 50²,

where h represents the length of the hypotenuse.

Solving this equation, we find:

h² = 1225 + 2500,

h² = 3725.

Taking the square root of both sides, we get:

h ≈ √3725 ≈ 61.06 feet.

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Answer:

3w - 2j

Step-by-step explanation:

twice the length j less of three times the width

Out of 8 members of the committee, it is possible to create two subcommittees only.

We know that in order to create subcommittees. we need to divide the total number of people on the committee into equal parts so that they form subcommittees.

Here, it is given that there are 8 members on the committee.

A subcommittee needs to have 3 people in it.

On dividing 8 people into groups of three, we get

⇒ [tex]\frac{8}{3}[/tex]

⇒ 2.66..

Here, it is obvious that the 0.66... can not be considered because it is not a whole number and hence, does not mean any number of people.

So, we can create only two different subcommittees from 8 members on the main committee.

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The sides of the base of pyramid is 2ft long.

the height of pyramid = 6ft

Volume of pyramid = 8cubic ft

Area of base = A

Formula:

Volume of pyramid = (Area of the base)*(height)/3

8 = (A)*6/3

8 = (A)*2

A = 8/2

A = 4

the total area is 4ftsquare , so

each base is 2 ft.

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I gotchu :)

So, the base equation is: ax+by=c

x int is c/a

y int is c/b

and the slope is -a/b

So basically, what I wrote above is how to get each aspect of the line using the standard form formula.

The "nonzero" part means that each integer (the A, B, AND C in the formula above) cannot be 0, as that would mean that everything will end up equaling to 0, which does not create the line. So basically, the answer would be:

x int is c/a

y int is c/b

and the slope is -a/b

^ if you apply these to any standard form, you will get the thing I stated next to it. For example, if the standard form equation is:

5x+6y=5

if you want to find the slope, you will do -a/b, and that will give you -5/6, which is your slope

Hope this helps :)

Answer: D. 16/25

Step-by-step explanation:

Any number apart from 3 can be used to replace the ? to create a function.

In a function, the inputs do not repeat that is the input in all cases should be unique in nature.

The inputs are assigned to exactly one output for each.

Three is one of the options to create a non function as three is already an input in the given function.

Replacing the ? with 3 would create the a function would be to replace it with any number but 3.

(3,5) (2, 4) (9, 0) (3,6)

Any number apart from 3 can be used to replace the ? to create a function.

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The mean of the data set is 9.26

The range is 10

The deviation when we scored 7 is 2.26 and when we scored 15 is 5.74.

Given, the quiz scores of a class.

Data set: 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 10, 10, 10, 10, 11, 11, 13, 15, 15

Mean = (Sum of all values)/(Total no. of values)

Mean = 176/19

Mean = 9.26

The range = 15 - 5 = 10

If I scored 7 on the quiz, then I will deviate (9.26 - 7) = 2.26

Similarly, If we scored 15 on the quiz, then I will deviate (9.26 - 15) = 5.74

Hence, the mean of the data set is 9.26

the range is 10

and the deviation when we scored 7 is 2.26 and when we scored 15 is 5.74.

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Abe jogs 1. 8 miles on Monday, 1. 3 miles on Tuesday, and 1. 2 miles on Wednesday.

Beth will jog 8.6 miles, if she jogs twice as far as Abe.

The answer provided below has been developed in a clear step by step manner.

Step: 1

Given that,

Abe jogs 1.8 miles on Monday, 1.3 miles on Tuesday and 1.2 miles on Wednesday.

So,

Total miles jog by Abe =1.8+1.3+1.2

Step: 2

Adding, we get,

Total miles jog by Abe = 4.3 miles

To find :-

The number of miles Beth jogged.

Step: 3

Since Beth jogs twice as far as Abe, we have,

Number of miles Beth jog = 2×4.3 miles = 8.6 miles

Since Abe jog 4.3 miles in total, Beth will jog (2* 4.3) miles

Hence the answer is, Beth will jog 8.6 miles, if she jogs twice as far as Abe.

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Answer:

y - y = m(x - x)

y + 6 = 2(x + 1)

y + 6 = 2x + 2

y = 2x -4

The measure of ∠C using sine rule formula and as shown in the triangle is 39.8°.

The sine rule formula gives the ratio of the sides and angles of a triangle. The sine rule can be explained using the expression, a/sinA = b/sinB = c/sinC,

From the diagram, to calculate the measure of the ∠C, we use the sine rule formula.

From the diagram,

Given:

Substitute these values into equation 1 and solve for angle C

Hence, ∠C is 39.8°.

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Jeriel pays $75 for an additional 2 GB of data, and 45+15x for every further 1 GB of data.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of phrases. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the equation x/2 + 6.

Here,

For 6 GB, the cost is $45.

For per GB extra the cost is $15.

The cost of data paid by Jeriel,

=45+2*15

=$75

For x GB, the cost is,

=45+15x

The cost of data paid by Jeriel for 2 GB extra data is $75 and for x GB, the cost paid is 45+15x.

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Equation with option B and C has no solution.

What is equation?

When two expressions are connected with the equals sign, a formula known as an equation is created.

Main Body:

A) -3(x+5) = x-15 -2x

⇒ -3x -15 = x-15-2x

⇒ -3x = -x

⇒ -2x= 0

⇒ x = 0, this means it has a solution.

B) -3(x+5) = x- 15 -4x

⇒ -3x -15 = -3x -15

So this equation also has no solution.

as L.H.S cancels out R.H.S completely so this equation has no solution.

C) -3(x+5) = x-10 -4x

⇒ -3x -15 = -3x -10

⇒ -15 ≠ 10

hence the equation with no solution is option b and c.

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Answer:

x = 10

Step-by-step explanation:

Those are opposite interior angles, meaning that they have the same angle measure, so just set them equal to each other to solve for x:

32-x = 3x-8

32 = 4x-8

40 = 4

10 =

Steve claims that the points (-4,8) (8,8) and (-4,3) form a right triangle. Yes, Steve is correct.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

As we know the distance between (a, b) and (c, d) is:

distance = √( (a - c)² + (b - d)²)

The distance between (-4, 8) and (8, 8) is:

d₁ = √( (-4 - 8)² + (8- 8)²) = 12

The distance between (8, 8) and (-4, 3) is:

d₂ = √( (8 + 4)² + (8- 3)²) = 13

The distance between (-4, 8) and (-4, 3) is:

d₃ = = √( (-4 + 4)² + (8 - 3)²) = 5

If the Pythagorean theorem is correct, then the square of the larger side must equal the sum of the squares of the two shorter sides, which means that:

5² + 12² = 13²

Solving that we get:

25 + 144 = 169

169 = 169

Thus, Steve claims that the points (-4,8) (8,8) and (-4,3) form a right triangle. Yes, Steve is correct.

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Answer:

c = 121

Step-by-step explanation:

Take half of the middle term coefficient: -22/2 = -11

Now square it: (-11)² = 121

c = 121

A different combination of models and colors available is 18.

Combination:

the act of combining or the state of being combined. a number of things combined: a combination of ideas. something formed by combining: A chord is a combination of notes. an alliance of persons or parties: a combination in restraint of trade.

Here it is given 6 different colors. Harley Davidson offers 3 different motorcycle models.

We have to find the number of different combinations of models and colors available.

Based on the above-given data we get the:

Different combination = 3 × 6

= 18

Therefore the number of combinations is 18.

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A(3) = 185mg

Formula for exponential growth/decay is

A(t) = A0 * e^(xt)

Where A0 is your initial amount

x is your percentage

t is the time

A(3) = 250 * e^(-0.1*3)

A(3) = 185.2mg

Key point x is negative in this case as it's a decaying function. If it was growth it would be positive

The correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2.

The trigonometry identity is given as:  tan(2x)

When the tangent formula is applied, we have: Tan (2x)  = Sin (2x)/Cos (2x)......................(4)

Expand Sin (2x) and Cost 2x)

Tan (2x) = 2 Sin (x) Cos (x)/Cos (x) - Sin²(x)..........................(3)

It can be inferred therefore that the list that obeys the above order is:
Option (a) 4, 3, 5, 1, 2.

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Full Question:²

What is the correct order of the steps used to derive the identity?

A.) 4, 3, 5, 1, 2

B.) 4, 5, 3, 1, 2,

C.) 3, 4, 5, 1, 2

D.) 3, 4, 1, 5, 2

Answer:

#3

Step-by-step explanation:

For this... you just multiply the exponents together to get 6x

   any of the others that do NOT have 6x as a product of exponents is not equiv    ..... so #3 is not equivalent  

Option 3 is not equivalent to the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is (5²ˣ)³.

Now, (5⁶ˣ)

(5ˣ)⁶

(5²)³ˣ

Therefore, option 3 is not equivalent to the given expression.

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As the amount of space a rhombus encloses in a two-dimensional space can be defined as its area, the ABCD rhombus's area is A = 12 d1 d2.

A particular type of rhombus is a parallelogram. In a rhombus, the opposing sides or angles are parallel as well as equal. A rhombus also has sides that are each the same length, and its diagonals come together at right angles to make its shape. A diamonds or rhombus is also referred to as a "rhombus."

The diagonal lines are parallel. A rhombus is what it is. The parallelogram is a rectangle, rhombus, and square since the diagonals are all congruent and perpendicular to one another. It is a rhombus, ABCD.

Rhombus Area Calculation Formulas

Diagonal Use, A = ½ x d1 x d2

A = b h using Base and Height

Trigonometry is used, A = b2 × Sin (a)

Where b = length of any side, h = height of rhombus, d1 = length of diagonal 1, d2 = length of diagonal 2, a = measure of any inner angle

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The function f(x)=x³-e⁻⁷ˣ is continuous function. That is a continuous function is one whose graph is continuous throughout without any pauses or leaps.

Given that,

The function is f(x)=x³-e⁻⁷ˣ

We have to find the function f(t) is it continuation on 0≤t<8.

We know that,

Take the function f(x)=x³-e⁻⁷ˣ

As the name implies, a continuous function is one whose graph is continuous throughout without any pauses or leaps. To put it another way, we say that a function is continuous if we can draw the curve (graph) of the function without ever picking up the pencil.

Therefore, The function f(x)=x³-e⁻⁷ˣ is continuous function. That is a continuous function is one whose graph is continuous throughout without any pauses or leaps.

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Answer: 40%

Step-by-step explanation:

100(175-125/125)

Simplify: 100(50/125)

Simplify: 100(0.4)=40

[tex]\fbox{3x}[/tex]

Simplify:

[tex]x+y+2x+-y[/tex]

Combine Like Terms:

[tex](x+2x)+(y+-y)[/tex]

[tex]=3x[/tex]

Answer: The difference between sum of first 20032003 even numbers and sum of first 20032003 odd numbers is “-20032003”.

Step-by-step explanation:

The sum of first 20032003 even numbers:

[tex]Summation E=E_{1}+E_{2}+E_{3}+ . . . . . +E_{20032003}[/tex]

The sum of first 20032003 odd numbers:

[tex]Summation O=O_{1}+O_{2}+O_{3}+ . . . . . +O_{20032003}[/tex]

Difference between the sum of first 20032003 even numbers and the sum of first 20032003 odd numbers:

[tex]Difference=Summation E - Summation O=(E_{1}+E_{2}+E_{3}+ . . . . . . . +E_{20032003})-(O_{1}+O_{2}+O_{3}+ . . . . . . . +O_{20032003})[/tex]

[tex]Difference=(E_{1}-O_{1})+(E_{2}-O_{2})+(E_{3}-O_{3})+ . . . . . . . +(E_{20032003}-O_{20032003})[/tex]

Even numbers start as 0, 2, 4, 6…. While odd numbers start as 1, 3, 5, 7…..

(assuming that we are taking non-negative even/odd numbers into account only)

As we know, every nth even number is one behind their respective odd number (i.e. 0 lags 1, 2 lags 3, 4 lags 5 and so on)

Thus, our equation of difference becomes,

[tex]Difference=(-1)_{1}+(-1)_{2}+(-1)_{3}+ . . . . . . . +(-1)_{20032003} =(-1)*20032003=-20032003[/tex]

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