. A set of positive integers is

Given data,

Live Fund are selling their holdings at $5,000 per share

Sale price of Live Fund holding = 5000 dollar

To find:

Amount that Live Fund will get if they sell half of their holding in Marks Brothers.

Assume the total number of shares held by Live Fund in Marks Brothers as A

Therefore, half the holdings (or half the number of shares) of Live Fund will be.

                            = A/2

Thus, if each share is valued at  $5000,

Then the total value of the number of shares sold will be as follows,

                             = 5000 × A/2  dollars

                             =  [tex]\frac{5000*A}{2}[/tex] dollars

                             = 2500 A dollars

Hence, Live Fund will receive  $2500 A

Learn more about event correlation here: brainly.com/question/20370651

#SPJ9

Answer:

47, 17

Step-by-step explanation:

Let the numbers be x and y. Then, x+y=64 and x-y=30. Adding these equations, we get 2x=94, and thus x=47.

It follows that y=17.

The derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]

The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.

Given:

The given function is

[tex]h(x) = (4x^3 + 8x)(16-5x^5)[/tex]

According to given question we have

[tex]h(x) = (4x^3 + 8x)(16- 5x^{5} )[/tex]

[tex]h'(x)=\frac{d(4x^{3} +8x)(16-5x^{5}) }{dx} \\\\=\frac{d(64x^{3}+20x^{8} +128x-40x^{6}) }{dx} \\\\=192x^{2} +160x^{7} +128-240x^{5}[/tex]

Therefore, the derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]

Learn more details about derivative here:

https://brainly.com/question/25324584

#SPJ1

The solution of the linear equation is x = -9

A linear equation is an equation in which the highest power of the unknown is one.

To solve a linear equation, we collect the like terms and them perform operations of addition, subtraction, multiplication and division to simplify the results and get the answer.

Since we have 8 - x = 26 + x

To solve the linear equation, we add + x to both sides. So,

8 - x + x = 26 + x + x

8 + 0 = 26 + 2x

8 = 26 + 2x

Next, we subtract 26 from both sides.

8 - 26 = 26 - 26 + 2x

-18 = 0 + 2x

-18 = 2x

Next, we divide both sides by 2. So, we have

2x = -18

x = -18/2

x = -9

So, the solution of the linear equation is x = -9

Learn more about linear equation here:

https://brainly.com/question/26260688

#SPJ1

2(x-3)-17=13-3(x+20)

2x-6-17=13-3x-60

2x-23=-3x-47

5x-23=-47

5x= -24

Answer:

x = -4.8

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

you use m=y2-y1/x2-x1 which equals 2. So that's our slope. Then you do b=y1 -mx1 or yout could do the second point. This gives you b= 7-(2) x(6)=-5. That's how you get the y. Hope this helps!

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. The expression x3+7x+2 value is 24 when x=2. So option A is correct.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

The given expression is x^3+7x+2

Now we have to plug in x value as 2

=(2)^3+7*2+2

The value of 2^3 is 8 and 7*2 is 14

=8+14+2

Add 8, 14 and 2 to get the required solution.

=24

Therefore the expression x3+7x+2 value is 24 when x=2.

To learn more on Expression click:

https://brainly.com/question/14083225

#SPJ1

The additive inverse are;

For expression;

a) 3-5

Additive inverse = - 3 - (-5)

For expression;

b) 5 - 3

Additive inverse = - 5 - (-3)

What is additive inverse?

The Property of Additive Inverse states that the summation of a number and it's Additive inverse is zero.

The expressions are;

3 - 5 and 5 - 3

Now, The Property of Additive Inverse states that the summation of a number and it's Additive inverse = 0

And, An Additive inverse of a positive integer is a negative integer and vice versa.

For example: 7 - 7 = 0

Here, The additive inverse of 7 = -7

Since, For the question above, we are asked to use the additive inverses and their properties to find the equivalent expressions.

a) 3 - 5

Hence, Additive inverse = - 3 - (-5)

                                      = -3 + 5

                                      = 2

b) 5 - 3

Hence, Additive inverse = - 5 - (-3)

                                      = - 5 + 3

                                      = - 2

So, The additive inverse are;

For expression;

a) 3-5

Additive inverse = - 3 - (-5)

For expression;

b) 5 - 3

Additive inverse = - 5 - (-3)

Learn more about the additive inverse visit:

https://brainly.com/question/16932151

#SPJ1

Answer:

3-5:

3+(-5)

-5+3

5-3:

-3+5

5+(-3)

Step-by-step explanation:

hope this helps ya (⁠☆⁠▽⁠☆⁠)

Answer:

1)5n: not balanced

2)1n: Balanced

4)8n: not balaned

Step-by-step explanation:

Answer:

x = 29

Step-by-step explanation:

Not sure if they meant actually 61 different numbers or just 2 numbers to make up 61, but I determined that -29 and 29 make up 61 because a negative plus a positive is always positive.

Answer:

Cancer can upset the normal chemical balance in your body and increase your risk of serious complications.

Answer:

Cancer can grow into,or begin to push on near by organs , blood vessels,and nerves. This pressure causes some of the signs and symptoms like fever, extreme tiredness or weight loss. This may be because cancer cells use up much of the body's energy supply.

Answer:

105,342

Step-by-step explanation:

It is valid.

Answer:

Full height = present heightpercentage of full height at current age x 100. Q

hope it helps...

Answer:

Fill in the blanks to declare sum equal to a + b (int _ = a __b)An integer data type can hold decimal values.

Answer:

See below

Step-by-step explanation:

See attached pic

Degree refers to the highest exponent

-nomial refers to the number of terms

they are both proportional

A. 6.5 apples but you can't buy half a apple so 6 Apples

B. 10 hours

The value of f (x -1) is;

f (x - 1) = x + 4

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

Function f (x) = x + 5

Now,

Find the value of f (x - 1), we substitute the value x = x - 1;

f (x) = x + 5

f (x - 1) = (x - 1) + 5

f (x - 1) = x - 1 + 5

f (x - 1) = x + 4

Thus, The value of f (x -1) is;

f (x - 1) = x + 4

Learn more about the function visit:

https://brainly.com/question/26209640

#SPJ2

The liters of the 5% and the 40% solutions that she should mix to get the solution she needs are 5.7 liters and 4.3 liters respectively.

Let x be the of volume of the 40% solution, then the volume of 5% would be:

10 L = 40% solution volume+ 5% solution volume

10 L= x + 5% solution volume

5% solution volume = 10l-x

Then the volume calculation would be:

10 liter × 20% = x liter × 40% + (10- x) liter × 5% 10l * 20%

= x liter * 35% + 10 liter*5%

x liter *35

= 10l * 20 - 10l *5

= 10l*m × 15x liter

= 10l *15/35

= 4.28 L= 4.3L

The volume of 40% solution= 4.3L

The volume of 5% solution will be:

= 10L- 4.3L

= 5.7L

Learn more about experiments on:

https://brainly.com/question/26117248

#SPJ1

Answer:

255

Step-by-step explanation:

Answer:

Step-by-step explanation:

A: Kilogram

B: Milliliters

C: 100 Kilometers

The number of flour cups would be 20

and butter cups would be 10.

The explanation to this question this is

There are total 30 cups of pie crust made.

Now, 2

2:1 is the ratio given.

For flour cups

=  [tex]\frac{2}{3}[/tex] × 30

= 2 × 10

= 20

For butter cups

= [tex]\frac{1}{3}[/tex] × 30

= 1 × 10

= 10

So in total 30 cups of pie crust , there are 20 cups of flour and 10 cups of butter.

Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.

Two amounts are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent." For instance, out of a group of 30, 17 prefer to walk and 13 prefer to cycle in the morning. We write this information as 17: 13 to express it as a ratio.

Learn more about ratios here :

https://brainly.com/question/13419413

#SPJ9

Answer:

(B+6)- 3

is it correct?

According to the solving the simplest form of the given fraction is:

= [tex]$2 \frac{47}{70}$\\[/tex]

Simplified fractions are fractions in their simplest, smallest, and most basic form. The fraction's numerator and denominator are reduced to the point where the sole common element between them is 1. For example, 4/6, 8/12, 16/24, and so on are simplified fractions of 2/3.

the process of making anything less complicated and hence easier to do or understand, or the product of such a process: The organization provides advice on how to simplify trade procedures.

-10 2/7 divided (-4 4/11)

This can be written as:

= [tex]\frac{-10\frac{2}{7} }{-4\frac{4}{11} } \\[/tex]

On simplifying we get:

= 68/7 and 40/11

= [tex]\frac{68}{7} /\frac{40}{11}[/tex]

= [tex]$\frac{-68 \times 11}{7 \times-40}$[/tex]

= [tex]$\frac{-748}{-280}$[/tex]

dividing numerator and denominator by 4:

= [tex]$\frac{-748 \div 4}{-280 \div 4}$[/tex]

= [tex]$\frac{187}{70}$[/tex]

= [tex]$2 \frac{47}{70}$\\[/tex]

According to the solving the simplest form of the given fraction is:

= [tex]$2 \frac{47}{70}$\\[/tex]

To know more about fractional simplification visit:

https://brainly.com/question/16510095

#SPJ9

Answer:

The answer is 2553=4400i

Step-by-step explanation:

I assume the equation is

[tex]x \, dy - (y^2 - 4y) \, dx = 0[/tex]

since separating variables leads to

[tex]x\,dy = y(y-4) \, dx[/tex]

[tex]\dfrac{dy}{y(y-4)} = \dfrac{dx}x[/tex]

for which the condition that [tex]x>0[/tex] is actually relevant, as opposed to the simpler differential equation

[tex]x \, dx - (y^2-4y)\, dy = 0 \implies y(y-4) \, dy = x \, dx[/tex]

(though it's a bit more work to solve for [tex]y(x)[/tex] in this case)

That the slope [tex]\frac{dy}{dx}[/tex] is non-zero tells us that

[tex]\dfrac{dy}{dx} = \dfrac{y(y-4)}x \neq 0 \implies y\neq0 \text{ and } y \neq 4[/tex]

Integrate both sides.

[tex]\displaystyle \int \frac{dy}{y(y-4)} = \int \frac{dx}x[/tex]

On the left, expand into partial fractions.

[tex]\displaystyle \frac14 \int \left(\frac1{y-4} - \frac1y\right) \, dy = \int \frac{dx}x[/tex]

[tex]\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x| + C[/tex]

With the given initial value, we find

[tex]y(1) = 2 \implies \dfrac14 (\ln|2-4| - \ln|2|) = \ln|1| + C \implies C = 0[/tex]

so the particular solution is

[tex]\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x|[/tex]

By definition of absolute value, with the initial condition of [tex]0 < y=2 < 4[/tex] and the condition [tex]x>0[/tex], we can remove the absolute values.

[tex]\dfrac14 (\ln(4-y) - \ln(y)) = \ln(x)[/tex]

Solve for [tex]y[/tex].

[tex]\ln\left(\dfrac{4-y}y\right) = 4 \ln(x) = \ln\left(x^4\right)[/tex]

[tex]\dfrac{4-y}y = \dfrac4y - 1 = x^4[/tex]

[tex]\implies y(x) = \dfrac4{1 + x^4}[/tex]

Then

[tex]10y\left(\sqrt2\right) = \dfrac{40}{1 + \left(\sqrt2\right)^4} = \boxed{8}[/tex]

On the off-chance you meant the other equation I suggested, we find

[tex]\displaystyle \int y(y-4) \, dy = \int x \, dx[/tex]

[tex]\displaystyle \frac{y^3}3 - 2y^2 = \frac{x^2}2 + C[/tex]

[tex]y(1) = 2 \implies \dfrac83 - 2\cdot4 = \dfrac12 + C \implies C = -\dfrac{35}6[/tex]

Solving for [tex]y(x)[/tex] involves picking the right branch of the cube root that agrees with [tex]y(1)=2[/tex]. With the cube root formula, we find

[tex]y(x) = 2 - \xi(1 - i\sqrt3) - \dfrac1\xi (1+i\sqrt3)[/tex]

where

[tex]\xi = \dfrac{2\sqrt[3]{4}}{\sqrt[3]{3x^2 - 3 + \sqrt{9x^4 - 18x^2 - 1015}}}[/tex]

With a calculator, we find

[tex]10y\left(\sqrt2\right) \approx 18.748[/tex]

+11, -11

The reason the answer is not 11 is not because you did the math wrong its because you gave the answer is just 11.

even when you square a negative number you multiply two negatives to make a positive so it would have to be -11 and +11.

This applies to whenever you square a number, the answer can always be two possibilities the positive and the negative.

Population growth is exponential, growing by some multiple over time that is dictated by a rate. To find the population exponential growth formula, take this initial premise, the population multiplied by a rate, and equate it to the change in population with respect to time.

Number of bacteria present after 4 days will be 20.05 .

Given,

Initial population = 18

Growth rate = 2.74%

Here,

The exponential growth is given by ,

N = [tex]N_{0} (1 + r )^t[/tex]

N = population after time t

No = Initial population

r = growth rate

t = time

Here,

No = 18
t = 4 days

r =2.74% = 0.0274

Substitute the values in the formula ,

N = 18 [tex](1 + 0.0274)^{4}[/tex]

N = 20.05 .

Know more about exponents,

https://brainly.com/question/26296886

#SPJ2

Answer:

22 students are women.

Step-by-step explanation:

because when the number of students in total is 30 and 8 students are men so the rest of the class are women 30-8=22

An equation for the transformation of y = x vertical compression by a factor of 1/11 is; y = (1/11)x

Vertical compressions in transformations occur when a function is multiplied by a rational scale factor. This means that base of the function's graph would remain unchanged when a graph is compressed vertically because it is only the output values that will be affected.

Now, we are given the equation as; y = x

When it undergoes a vertical compression by a factor of 1/11, we can say that the new equation will be; y = (1/11)x

Thus, we conclude that an equation for the transformation of y=x

vertical compression by a factor of 1/11 is; y = (1/11)x

Read more about Vertical Compression at; https://brainly.com/question/24261456

#SPJ1