25. Communicate and Justify Charles says
that he can find the product of 12x6
by breaking apart 12 as 6 + 6 and then
multiply each 6 times 6. Is Charles
correct? Explain.

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.

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

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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

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

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Answer:

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

hope it helps...

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

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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]

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Answer:

The answer is 2553=4400i

Step-by-step explanation:

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

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+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.

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.

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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!

Answers:

========================================================

Explanation:

The domain is the set of possible x values. The left-most point occurs when x = -2, while the right-most point is when x = 2. Therefore, x is between -2 and 2 in which we write [tex]-2 \le \text{x} \le 2[/tex]. Both endpoints are included.

-----------

The range is the set of possible y values. The possible y values are in the interval [tex]-2 \le \text{y} \le 2[/tex] since y = -2 is the smallest y can get, and y = 2 is the largest it can get. Visually we look at the lowest and highest points respectively to find the span of y values.

-----------

This relation is not a function because it fails the vertical line test.

It is possible to pass a single vertical line through more than one point on the curve. For example, the vertical line through x = -1 goes through the points (-1,1) and (-1,-1)

Phrased another way: The input x = -1 leads to more than one output.

A function is only possible if each input in the domain leads to exactly one output.

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]

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I assume you mean

[tex]|2x + 1| \ge -7[/tex]

The absolute value function is non-negative, so

[tex]|2x+1| \ge0 > -7[/tex]

is true for all [tex]x[/tex]; any value of [tex]x[/tex] is a solution to this inequality. (infinitely many solutions)

Answer:

105,342

Step-by-step explanation:

It is valid.

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.

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Answer:

No

Step-by-step explanation:

This is an irrational number... Hope this helps!!

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)

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Answer:

3-5:

3+(-5)

-5+3

5-3:

-3+5

5+(-3)

Step-by-step explanation:

hope this helps ya (⁠☆⁠▽⁠☆⁠)

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:

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.

Answer:

255

Step-by-step explanation:

Complete question :

A cooler contains 4 L of water. The cooler has marks on it at every 0.2 L. Water bottles are filled with water from the cooler, and each bottle holds approximately 4/9L. After 4 water bottles are filled, between which two marks is the water level in the cooler? Show your work.

Answer:

2.2 - 2.4 Litre

Step-by-step explanation:

Capacity of cooler = 4L

Marking on cooler = every 0.2L

Capacity of bottle = 4/9 L

Number of bottles filled = 4

Total volume filled = (4/9) * 4 = 16/9 L = 1.78L

Volume of water left in tank :

(4 - 1.78)Litre

= 2.22 litres

Since, the tank is marked at 0.2 L interval ; the water level will be between 2.20 to 2.40 litres

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

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they are both proportional

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

B. 10 hours

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

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]

Answer:

1)5n: not balanced

2)1n: Balanced

4)8n: not balaned

Step-by-step explanation:

Answer:

(B+6)- 3

is it correct?