If the mass of a proton is 1.67 × 10-24 gram, what is the mass of 2,000 protons?

9514 1404 393

Answer:

  yes

Step-by-step explanation:

f(0) = -3 +0.5×0 = -3

f(1) = -3 +0.5×1 = -2.5 = f(0) +0.5

Two linear functions are the same if they agree at two points. Here, f(0) and f(1) are the same for both forms of the function, so these different forms represent the same relation.

Diego is correct.

\(\frac{2}{7}= \frac{3.5}{x} => 2x=3.5(7)= 24.5 => x=\frac{24.5}{2} = 12.25\)

ok done. Thank to me :>

Apply Thales theorem

A geometric series is one in which there is a constant between two successive numbers in the series.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

Suppose the series is given as

2,4,8,16,32,64.........

The common difference is defined as the ratio of the next term to the previous term.

From the above series, the common ratio is calculated as,

Common ratio = 4 / 2

Common ratio = 2

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Answer: graph it. (6,3) 6,8

Step-by-step explanation:

Answer:

x +13.

where

x is number of people

Step-by-step explanation:

Let the number of people be x

given that number of people increased by 13

increased by 13 means that we whatever is the initial number of people, new number of people is 13 more than that.

thus, new number of people = x +13

to  translate the number of people increased by 13 into an algebraic expression

we add 13 to number of people which can be represented by  x +13.

Answer:

Y=3x

Step-by-step explanation:

Proportional relationships always have multiplication or division

Given:

Two coins are tossed.

To find:

1. P(H on first coin)?

2. P(H on second coin)?

3. List the paired outcomes for tossing two coins.

4. How many ways are there for two coins to land?

5. What is P(HH)?

Solution:

If a a coin is tossed, then we have to possible outcomes, i.e., heads (H) and tails (T).

It is given that two coins are tossed.

1. The probability of getting a heads on first coin is:

\(P(H \text{ on first coin})=\dfrac{1}{2}\)

2. The probability of getting a heads on second coin is:

\(P(H \text{ on second coin})=\dfrac{1}{2}\)

3. If two coins are tossed, then the total possible outcomes are:

\(\{HH,HT,TH,TT\}\)

4. The number of ways for two coins to land is 4.

5. The probability of the heads on both tosses is:

\(P(HH)=\dfrac{1}{4}\)

Therefore, the required solution are:

1. \(P(H \text{ on first coin})=\dfrac{1}{2}\)

2. \(P(H \text{ on second coin})=\dfrac{1}{2}\)

3. List of possible outcomes is \(\{HH,HT,TH,TT\}\).

4. Number of possible outcomes is 4.

5. \(P(HH)=\dfrac{1}{4}\)

Part of a financial advisor's job is to allocate money in the best available asset or security (eg: stocks and bonds). So they look at market data and use mathematical models to help judge on where to put money. Their goal is to so called "beat the market", meaning they want to earn the best return compared to other players in the market. Doing so will allow them to "buy low, sell high" which is a common cliche in finance. Though it's a very good rule to follow of course.

The efficient market hypothesis says that whatever the stock price is currently, it reflects everything about that company. In other words, there are no hidden facts that may surprise investors to drastically change the price of the stock. All information is completely transparent. What this means is that anyone can determine where to put their money without the need for a financial advisor.

I don't think demand would be completely wiped out since even if in a 100% transparent environment, people would still prefer to have others manage their money or not want to deal with complicated math formulas. However, demand would be reduced to some degree. In reality, there are always hidden factors that don't fully contribute to the cost of a security, which is why the efficient market hypothesis isn't fully applicable in every situation. So this is likely why financial advisors are in demand and are paid well.

Therefore, one square yard covers more area than 4/6 yard, because one square yard is equal to 1*1 = 1 square yard.

the area is the measurement of the size of a two-dimensional space or surface. It is typically measured in square units such as square meters (m²), square centimeters (cm²), square feet (ft²), or square inches (in²).

The concept of area is used in various fields, such as geometry, calculus, physics, and engineering. In geometry, the area of a shape can be calculated by multiplying the length and width of a rectangle, or by using formulas specific to different shapes such as the area of a triangle, circle, or parallelogram.

by the question.

One square yard covers a larger area than 4/6 yard.

One square yard is equivalent to an area of 3 feet by 3 feet or 36 inches by 36 inches, which is 1,296 square inches or 0.1111 square yards.

On the other hand, 4/6 yard is equivalent to an area of 4 feet by 8 inches or 48 inches by 72 inches, which is 3,456 square inches or 0.3333 square yards.

Now, to convert 2 feet to square yards,

we need to square the length in yards.

Since 2 feet is (2/3) yards,

the area covered by 4/6 yard is.\((2/3)^2 = 4/9\)square yards.

4/9 square yards.

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The complete question is: does 4/6 yard cover more area or less area than one square yard

Answer:

\(\huge\boxed{\sf S = 682000\ miles}\)

Step-by-step explanation:

Speed of light = v = 186,000 mps

Time = t = 11/3 s

Distance = S = ?

S = v × t

S = 186000 × 11/3

S = 2046000/3

\(\rule[225]{225}{2}\)

The amount that Ethan pays for the video game is 47.988.

From the information illustrated, it should be noted that it was stated that Ethan buys video games for 39.99 sale on 20% tax.

In this case, the amount that he will pay will be:

= Original amount + Tax

= 39.99 + (20% × 39.99)

= 39.99 + 7.998

= 47.988

The amount is 47.988.

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Complete question

Ethan buys vidio games for 39.99 sale on 20% tax how much ethan payed

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Answer:

37

Step-by-step explanation:

4(9) + 1 = 37

Answer:

There are 37 quarters in $9.25

Step-by-step explanation:

.25 x 37 = 9.25

or

.25 +.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+....till 37

Answer:

n=288

Step-by-step explanation:

Rewrite the equation as  

√

n

=

18

√

8

−

8

√

18

.

√

n

=

18

√

8

−

8

√

18

To remove the radical on the left side of the equation, square both sides of the equation.

√n

2

=

(

18

√

8

−

8

√

18

)

2

Simplify each side of the equation.  

Use  

n

√

a

x

=

a

x

n

to rewrite  

√

n  as  n

1

2

.

(

n

1

2

)

2

=

(

18

√

8

−

8

√

18

)

2

Simplify  

(

n

1

2

)

2

.  

Multiply the exponents in  

(

n

1

2

)

2

.  

Apply the power rule and multiply exponents,  

(

a

m)n

=

a

m

n

.

n

1

2

⋅

2

=

(

18

√

8

−

8

√

18

)

2

Cancel the common factor of  2  

Cancel the common factor.

n

1

2

⋅

2

=

(

18

√

8

−

8

√

18

)

2

Rewrite the expression.

n

1

=

(

18

√

8

−

8

√

18

)

2

Simplify.

n

=

(

18

√

8

−

8

√

18

)

2

Simplify  

(

18

√

8

−

8

√

18

)

2

Simplify each term.

Rewrite  

8  as  2

2

⋅

2

.  

Factor  

4  out of  8  

n

=

(

18

√

4

(

2

)

−

8

√

18

)

2

Rewrite  

4  as  2

2  

n

=

(

18√

2

2

2

−

8

√

18

)

2

Pull terms out from under the radical.

n

=

(

18

(

2

√

2

)

−

8

√

18

)

2

Multiply  

2  by  18  

n

=

(

36

√

2

−

8

√

18

)

2

Rewrite  

18

as  

3

2

⋅

2

.

Factor  

9

out of  

18

.

n

=

(

36

√

2

−

8

√

9

(

2

)

)

2

Rewrite  

9

as  

3

2

.

n

=

(

36

√

2

−

8

√

3

2

⋅

2

)

2

Pull terms out from under the radical.

n

=

(

36

√

2

−

8

(

3

√

2

)

)

2

Multiply  

3

by  

−

8

.

n

=

(

36

√

2

−

24

√

2

)

2

Simplify terms.

Subtract  

24

√

2

from  

36

√

2

.

n

=

(

12

√

2

)

2

Simplify the expression.

Apply the product rule to  

12

√

2

.

n

=

12

2

√

2

2

Raise  

12

to the power of  

2

.

n

=

144

√

2

2

Rewrite  

√

2

2

as  

2

.

Use  

n

√

a

x

=

a

x

n

to rewrite  

√

2

as  

2

1

2

.

n

=

144

(

2

1

2

)

2

Apply the power rule and multiply exponents,  

(

a

m

)

n

=

a

m

n

.

n

=

144

⋅

2

1

2

⋅

2

Combine  

1

2

and  

2

.

n

=

144

⋅

2

2

2

Cancel the common factor of  

2

.

Cancel the common factor.

n

=

144

⋅

2

2

2

Rewrite the expression.

n

=

144

⋅

2

1

Evaluate the exponent.

n

=

144

⋅

2

Multiply  

144

by  

2

.

n

=

288

Answer:

52 pints

Step-by-step explanation:

Given;

2 pints = 1 quart

To Find;

How many pints are in a 26-quart container

Solve;

Since 2 pints = 1 quart

Then the Formula = divide the volume value by 2

The equation for 2 pints = 1 quart is 2 ÷ x = 1

which x = 2.

Thus, the equation for 26 quart container = how many pints =

x ÷ 2 = 26

Divide/Multiply sides by 2

2x/2 = 26 * 2

Simplify

x = 52

Hence, there are 52 pints in a 26 quart container

~Learn with Lenvy~

Answer:

y = 4x - 1

Step-by-step explanation:

Equation y = 4x - 1 matches the function described in the table.

Answer:

uyrddfhjjki

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(3*x+7)^2+5-((7*x-9)^2*x+5)=0

Step by step solution :

STEP1:

Equation at the end of step 1

(((3x+7)2)+5)-(x•(7x-9)2+5) = 0

STEP2:

Checking for a perfect cube

2.1 -49x3+135x2-39x+49 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: -49x3+135x2-39x+49

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -39x+49

Group 2: -49x3+135x2

Pull out from each group separately :

Group 1: (-39x+49) • (1) = (39x-49) • (-1)

Group 2: (49x-135) • (-x2)

Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

Find roots (zeroes) of : F(x) = -49x3+135x2-39x+49

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is -49 and the Trailing Constant is 49.

The factor(s) are:

of the Leading Coefficient : 1,7 ,49

of the Trailing Constant : 1 ,7 ,49

Let us test ....

Equation at the end of step

2

:

-49x3 + 135x2 - 39x + 49 = 0

STEP

3

:

Cubic Equations:

3.1 Solve -49x3+135x2-39x+49 = 0

Future releases of Tiger-Algebra will solve equations of the third degree directly.

Meanwhile we will use the Bisection method to approximate one real solution.

Approximating a root using the Bisection Method :

We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).

The function is F(x) = -49x3 + 135x2 - 39x + 49

At x= 3.00 F(x) is equal to -176.00

At x= 2.00 F(x) is equal to 119.00

Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this interval, F(x) is zero

Procedure :

(1) Find a point "Left" where F(Left) < 0

(2) Find a point 'Right' where F(Right) > 0

(3) Compute 'Middle' the middle point of the interval [Left,Right]

(4) Calculate Value = F(Middle)

(5) If Value is close enough to zero goto Step (7)

Else :

If Value < 0 then : Left <- Middle

If Value > 0 then : Right <- Middle

(6) Loop back to Step (3)

(7) Done!! The approximation found is Middle

Next Middle will get us close enough to zero:

F( 2.596896529 ) is 0.000000414

The desired approximation of the solution is:

x ≓ 2.596896529

Note, ≓ is the approximation symbol

One solution was found :

x ≓ 2.596896529

Answer: 1.6

Step-by-step explanation:

each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces

Answer:

shown below

Step-by-step explanation:

golf balls per ounce = 5/8 or 0.625

ounces per gold ball = 8/5 or 1.6

Answer:

We can rewrite the function as:

f(x) = 3(8√3)^(2x) = 3(2^3√3)^(2x)

Using the properties of exponents, we can rewrite this as:

f(x) = 3(2^(3*2x)√3^(2x)) = 3(2^(6x)√(3^(2x)))

Therefore, the base of the exponent is 2.

Answer:

4x + 1

Step-by-step explanation:

g(f(x)) = (4x + 3) - 2

         = 4x + 1

The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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Answer:

Su pago mensual sería de $9.06 (Espero que esto ayude)

Step-by-step explanation:

Answer:

3 bucks

Step-by-step explanation:

Answer:

d=3

Step-by-step explanation:

if the whole thing equals 19, and you know that part of it is 10, that leaves the rest of it to be 9. the rest is divided into 3s, if you know the whole section is 9 then all you would have to do is divide 9 by 3 and that would get you 3

The answer is \((x+9)+(x-2)\) .

We have given two statements one is " number increased by nine "

Let the number be x .

Mathematically , first statement is represented by

  x + 9

Second statement is " number decreased by two "

Mathematically , second statement is represented by

  x - 2

According to the question

Sum of first and second statement = \((x+9)+(x-2)\)

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