Is it a function (2,4) (4,9) (6,6) (2,6)

There are  0.09779 grams in 7.4 x 10^19 Atoms of copper.

The number of grams in a given number of atoms of an element, we need to use the concept of molar mass and Avogadro's number.

The molar mass of an element represents the mass of one mole of that element. For copper (Cu), the molar mass is approximately 63.546 grams per mole.

Avogadro's number, denoted as N_A, is the number of atoms or molecules in one mole of a substance. It is approximately 6.022 x 10^23 atoms/molecules per mole.

To calculate the mass of a given number of atoms, we can use the following steps:

Step 1: Determine the number of moles of copper atoms.

Given: 7.4 x 10^19 atoms of copper

Number of moles = (Number of atoms) / (Avogadro's number)

Number of moles = (7.4 x 10^19) / (6.022 x 10^23)

Step 2: Calculate the mass using the molar mass of copper.

Mass = (Number of moles) x (Molar mass)

Mass = (7.4 x 10^19) / (6.022 x 10^23) x 63.546

Now, we can perform the calculations:

Mass ≈ 0.09779 grams

Therefore, there are approximately 0.09779 grams in 7.4 x 10^19 atoms of copper.

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Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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The value of a3 is 30.

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

We are given that a_1 = 6 and \(a_n = n_a(n-1) + 2\)

Then Substitute as needed and do the arithmetic;

a_1 = 6

\(a_n = n_a(n-1) + 2\)

\(a_2 = -5a_1 +2 \\a_2= -5(6) +2 =-28\)

 \(a_ 3 = -5a_2 +2 = -(-28) +2 = 30\)

The value of a3 is 30.

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The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

The answer is Zack garden

Answer:

185 1/16

Step-by-step explanation:

Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

Answer:

120 inches by 80 inches

3 inches by 2 inches

Step-by-step explanation:

So the ratio of 12/8 is 1.5 so we divide all of the numbers to find ratios that equal that

120/80=1.5

3/2=1.5

but we dont put say 6 by 2 because 6/2 is 3

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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The correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39 . Option C

A function can be defined as an expression that shows the relationship between an independent variable and a dependent variable.

Given the function;

M(t) = 7t + 25

Where;

For M(2), we substitute the value of t as 2 in the function

M(2) = 7(2) + 25

M(2) = 14 + 25

M(2) = $39

This explains that the she mows the yard for t = 2 hours, she would earn $39

Thus, the correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39. Option C

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Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

associative property of addition !!

Step-by-step explanation:

this is because you are ASSOCIATING the two numbers together

think of it like this

in a trio friendship there could be two friends that are closer

the 8 and the 10 in the second half of the equation are closer

BUT in the first half the 3 and the 8 are closer too

hope that made sense lol

Answer:

b = \(\frac{1+2a}{3a-1}\)

Step-by-step explanation:

Given

a = \(\frac{b+1}{3b-2}\) ( multiply both sides by 3b - 2 )

a(3b - 2) = b + 1 ← distribute left side

3ab - 2a = b + 1 ( subtract b from both sides )

3ab - b - 2a = 1 ( add 2a to both sides )

3ab - b = 1 + 2a ← factor out b from each term on the left side

b(3a - 1) = 1 + 2a ( divide both sides by 3a - 1 )

b = \(\frac{1+2a}{3a-1}\)

Answer:

\(→a = \frac{(b + 1)}{(3b - 2)} \\ a(3b - 2) = (b + 1) \\ 3ab - 2a = b + 1 \\ 3ab - b = 2a + 1 \\ b(3a - 1) =( 2a + 1) \\ \boxed{b = \frac{(2a + 1)}{(3a - 1)} }✓\)

A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.

In this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.

By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.

Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.

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Answer:

-3-i is the correct answer.

Step-by-step explanation:

If –3 + i is a root of the polynomial function f(x), Then -3 -i must also be a root of f(x)

The root is the value where the given function will tends to zero.

If –3 + i is a root of the polynomial function f(x), Then -3 -i must also be a root of f(x)

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The ballroom is 40m by 20m

just think of numbers that times together to get 800 and then check if the perimeter is right.

A rectangular ballroom has two dimensions: length and width,

The perimeter is the sum of all the sides of the rectangle,

P=L+LW+W=2L+2W

The area is the product of these two dimensions,

A=L,W

We know that the perimeter is 120m and the area is 800m². Replacing in the equations above, we have two equations with two variables L and W,

120=2L+2W

     =800LW

Solve the first equation for W. Subtract 2L from both sides,

120-2L=2L-2L+2W

120-2L=2W

And divide both sides by 2,

120-2L/2=2W/2

60-L=W

The next step is to replace W by this expression in the second equation,

800=L(60-L)

Now we have to solve this equation for L. Apply the distributive property on the right side of the equation,

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Answer:

\(-2x-11z\)

Step-by-step explanation:

You have to remember that,

\((-)*(-) = (+)\\(+)*(+)=(+)\\(-)*(+) = (-)\)

lets solve now

\(-(7x+4z)-3x+(8x-7z)\\-7x-4z-3x+8x-7z\\-7x-3x+8x-4z-7z\\-10x+8x-11z\\-2x-11z\)

hope this helps you

please let me know if you have any other questions :-)

Answer:

I say the answer is A.

Step-by-step explanation:

The reason I say A is because in each box, they have more red than blue. It isn't possible that you can't pick blue but, it unlikely to pick. That's like saying you have 20 yellow marble and 4 purple marbles. It is unlikely to pick a purple marble but not certain or impossible.

Hope that helps!! If not, please send me a message and I will check my work!! Have a great rest of your day :) !

Answer:

60.32

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

3 + x * 6 = 3 * 11

3 + 6x = 33

6x = 30

x = 5

Answer:

B

Step-by-step explanation:

According to the theorem, equal sides have equal angles opposite to them so AB AND AC are equal so x and y are also equal

Answer:

d = - 6

Step-by-step explanation:

56 = -8d +8

-8 .          -8

48 = -8d

__ .    __

-8       -8

-6  = d

Answer:

d) 3/9 = 1/3

Step-by-step explanation:

a) 3/9 = 1/3

0, 0.33, 0.67, 1, 1.33, 1.67, 2

Hope this helps!

Answer:

C

Step-by-step explanation:

the distance between 1 and 0 equal to 1

and from 0 to 1 we have 10 pieces and they're equal to each other

that's mean if we say that 1 piece equal to x

then 10x=1

x=1/10

the point he need on the 4th line

4/10=2/5

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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Answer:

Step-by-step explanation:

The perimeter of a rhomboid: The perimeter of a rhomboid is the sum of all sides of the figure i.e. P= (a +b + a +b) = 2(a + b).

B is the base of the rhomboid and a is the length of the side of the rhomboid.

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Hello.

Parallel lines have the same slope.

If the given line has a slope of \(\displaystyle-\frac{8}{9}\), then the line parallel to it has the same slope.

Thus, line r has a slope of \(\displaystyle-\frac{8}{9}\).

I hope it helps.

Have a great day.

\(\boxed{imperturbability}\)

Answer:

55

Step-by-step explanation:

61.621 rounded to the nearest whole number is 62. We know this by looking at the whole number "61" and rounding its last digit by the digit to the right of it, depending if its <5 or >5. In this case, the right ones digit is "6", being greater than 5 means we can round 61.621 to 62.

The same applies to 7.173, given that "1" is less than 5, we don't round down (because we are rounding up), instead we replace remaining digits with 0, leaving us with 7.

To find the difference means to subtract;

62-7 = 55.

1) Considering that for that complex number we have the following pattern:

2) And that, the question asks us about the what number must be that exponent so that the remainder is 2, we can write out:

which d is the divisor, so if the remainder is 2 then we can state:

Answer:

V=7982.4 in

Step-by-step explanation:

V=4/3pi*r^3

V=4/3pi*12.4^3

V=4/3pi*1906.62

V=7626.48/3pi

V=2542.16pi

V=2542.16*3.14

V=7982.4