3
3. Given the expression 6(3x – 2) - 4(5x + 4), how would
you start to simplify it? Show that some of the properties
can help simplify the expression into simplest form.

Answer:

r=37(being vertically opposite angle)

Answer:

Step-by-step explanation:

The ratio of line segments as per picture

Correct option is

Answer:

true

false

true

false

true

false

true

Answer:

Ms. Sims could possibly travel to 28 countries in 40 days.

Step-by-step explanation:

Do you really need a child to solve this for you :)

Answer:

Horizontal line (0 slope)

Step-by-step explanation:

The equation is [tex]\frac{y2-y1}{x2-x1}[/tex], so you'd just insert what you know.

It would look like this: [tex]\frac{6-6}{4-(-2)}[/tex].

We would solve. 6-6=0, while 4-(-2)=6.

So, we have 0/6, which gives you 0, and it would be a horizontal line, since a horizontal line is portrayed by 0 slope.

Answer:

60.3504

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

CP = 4500

SP = 5175

As the SP is greater than the CP, it is a profit

Profit = 675

Profit percent = (Profit / CP) * 100

=> (675/4500) * 100

=> 675/45 (As the 2 zeros of hundred in the numerator is cancelled by the 2 zeros of the 4500 in the denominator)

=> 15 (Once you divide 675 by 45)

=> 15 % profit

Therefore, Profit = 15 %

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

mdmjjdj kmdniodi jdkjejejjjjs mdmkkdnjjjdnjidj mkdidhndjxij mdjhrbhjdhdjufhd mjdidjjdjdk khxtuñs.ugitd,htdkhtdulyf gditdpuyfluyiyfhghgyg gcupdthdultdlutdutdt hfyfyfyfygyigchkfyfhgyfhgu Ok Grac Ok muchas gr Ok Grac Ok Grac Ok Grac Ok muchas gr Ok muchas gr Ok Grac Ok Grac Ok dhltfyfhfyg higugyg No tengo como enviar son las que se relaciona fresco Ok muchas gr Ok muchas gro

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2, - 1) and ( - 4,10)

So we have

[tex]M = ( \frac{ - 2 - 4}{2} \: , \: \frac{ - 1 + 10}{2} ) \\ = ( - \frac{ 6}{2} \: , \: \frac{9}{2} )[/tex]

We have the final answer as

[tex]( - 3 \: , \frac{9}{2} )[/tex]

Hope this helps you

Answer:

Your answer is A

Step-by-step explanation:

In this case you have 7 digits so you move the decimal 6 times to the left

4325000

4.325

4.325 x 10^6

Hope my answer helped you.

Have a great day

Answer:

4.325 x [tex]10^{6}[/tex]

Step-by-step explanation:

When finding the scientific notation you need to move the decimal to the left until your first number or the one in the highest place is the remaining number. Then your 10 is taken to the a(amount of times you moved the decimal) power. For example, with this problem 4325000 is moved 6 times meaning the answer is A or 4.325 x [tex]10^{6}[/tex].

Answer:

1

Step-by-step explanation:

The required number to be added on both sides of the equation is 1.

The general form of a quadratic equation is given as ax^2 + bx + c = 0.

Here, a ≠ 0 and b and c are integers.

The degree of a quadratic equation is 2.

The given quadratic equation is x² - 2x - 1 = 0.

In order to solve it using completing square method, the steps are as follows,

x² - 2x - 1 = 0.

=> x² - 2 × 1 × x - 1 = 0.

Add 1 on both sides to get,

=> (x² - 2 × 1 × x + 1) - 1 = 1

=> (x² - 2 × 1 × x + 1²) - 1 = 1

=> (x - 1)² - 1 = 1

=> (x - 1)² = 2

Hence, the number that has to be added to complete the square is 1.

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Answer:

hey love the answer is b hope this helps

Step-by-step explanati

Answer:

m = 7 / 185 or 26.42857

Step-by-step explanation:

7m - 5 = 180 add 5

7m = 185 divide 7

m = 7 / 185 or 26.42857 (and so on; just estimate it)

Answer:

(x - 2) or (x + 5)

Step-by-step explanation:

Step 1: Write quadratic

x² + 3x - 10

Step 2: Factor

(x - 2)(x + 5)

Answer:  x2 + 3x – 10= (x+5)⋅(x−2)= -6

so x=-6

Step-by-step explanation:  "x2"   was replaced by   "x^2".

Factoring  x2+3x-10  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -10  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -10 = -10  

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   3 .

     -10    +    1    =    -9  

     -5    +    2    =    -3  

     -2    +    5    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  5  

                    x2 - 2x + 5x - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   5 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+5)  •  (x-2)

            Which is the desired factorization

so (x + 5) • (x - 2)= x=-6

The new equation that represents the function after performing the given conditions on the cubic root parent function is f(x) = 3(-∛x - 8).

The given conditions are as follows:The cubic root parent function is translated 8 units down.The cubic root parent function is reflected across the x-axis.The cubic root parent function is vertically stretched by a factor of 3.The general form of a cubic root parent function is f(x) = ∛x.

To obtain the new equation that represents the function after performing the above conditions on the cubic root parent function, we can follow these steps:

Start with the general form of a cubic root parent function: f(x) = ∛x.

To translate 8 units down, we subtract 8 from the general form of the function. So, f(x) = ∛x - 8.

To reflect across the x-axis, we can multiply the function by -1. So, f(x) = -∛x - 8.

To vertically stretch the function by a factor of 3, we can multiply the function by 3. So, f(x) = 3(-∛x - 8). Therefore, the equation that represents the function is f(x) = 3(-∛x - 8).

The function after performing the given conditions on the cubic root parent function is f(x) = 3(-∛x - 8).

The cubic root parent function is given by the general form f(x) = ∛x. It is the parent function that serves as a starting point to obtain the equation of a related function, with the help of transformation rules of functions.

The first condition is to translate 8 units down. Translation of a function means to move the graph of the function to a different position without changing the shape of the graph. When a function is translated k units down, we subtract k from the function.

Therefore, the function becomes f(x) = ∛x - 8.The second condition is to reflect the function across the x-axis. The reflection of a function about the x-axis means that the entire graph is flipped upside down. To reflect a function across the x-axis, we multiply the function by -1. Therefore, the function becomes f(x) = -∛x - 8.

The third condition is to vertically stretch the function by a factor of 3. A vertical stretch of a function is a transformation that increases or decreases the distance between the function and the x-axis. When a function is stretched vertically by a factor of a, we multiply the function by a.

Therefore, the function becomes f(x) = 3(-∛x - 8).

The cubic root parent function is transformed by translating 8 units down, reflecting across the x-axis, then vertically stretching by a factor of 3. The new equation that represents the function after performing the given conditions on the cubic root parent function is f(x) = 3(-∛x - 8).

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The holding period return is the return that an investor receives by holding a bond for a specific period of time. It is calculated using the following formula:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price For the given scenario, the bond has a $1,000 face value and an annual coupon of $40.

The bond was purchased for $990 and sold one year later for $1,025.Using the formula, we can calculate the holding period return as follows:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price= ($1,025 – $990 + $40) / $990= $75 / $990= 0.075 or 7.5% Therefore, the holding period return for the bond is 7.5%. The holding period return is a financial metric that measures the total return of an investment over the period that it is held. This metric takes into account any income received from the investment, as well as any changes in the price of the investment over the holding period. It is a useful tool for investors who want to evaluate the performance of their investments and compare the returns of different investments over different holding periods.In the given scenario, we are asked to calculate the holding period return for a $1,000 face value bond with a $40 annual coupon purchased for $990 and sold one year later for $1,025. To calculate the holding period return, we need to use the formula:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price Where, Ending Price = the price at which the investment was sold Beginning Price = the price at which the investment was purchased Income = any income received from the investment over the holding periodIn this case, the ending price of the bond is $1,025, the beginning price is $990, and the income is $40. Therefore, we can calculate the holding period return as follows:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price= ($1,025 – $990 + $40) / $990= $75 / $990= 0.075 or 7.5% Therefore, the holding period return for the bond is 7.5%.

In conclusion, the holding period return is a useful financial metric that measures the total return of an investment over the period that it is held. It takes into account any income received from the investment, as well as any changes in the price of the investment over the holding period. In the given scenario, we calculated the holding period return for a $1,000 face value bond with a $40 annual coupon purchased for $990 and sold one year later for $1,025. The holding period return for the bond was found to be 7.5%.

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the 10's complement of 000000 is 999999.

The 10's complement of a number is given by subtracting each digit from 9.

Let us obtain the 10's complement of the given six-digit decimal numbers:123900

First, we need to subtract each digit of 123900 from 9:9 - 1 = 89 - 2 = 78 - 3 = 67 - 9 = 09 - 0 = 99 - 0 = 9

Therefore, the 10's complement of 123900 is 876100.090657

First, we need to subtract each digit of 090657 from 9:9 - 0 = 99 - 0 = 99 - 6 = 39 - 5 = 49 - 7 = 29 - 5 = 4

Therefore, the 10's complement of 090657 is 909343.100000

First, we need to subtract each digit of 100000 from 9:9 - 1 = 89 - 0 = 99 - 0 = 99 - 0 = 99 - 9 = 09 - 9 = 0

Therefore, the 10's complement of 100000 is 900000.000000

First, we need to subtract each digit of 000000 from 9:9 - 0 = 99 - 0 = 99 - 0 = 99 - 0 = 99 - 0 = 09 - 0 = 0

Therefore, the 10's complement of 000000 is 999999.

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Answer:

sure what is the question

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Dude trust me

Answer: N=-4

Step-by-step explanation:

8n-7n=-4

N=-4

Answer:

X = 5, -2

Absolute value function

Answer:

x = -5

Step-by-step explanation:

Step 1: Write equation

3x + 4 = 12(x + 2) - 5x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

3(-5) + 4 = 12(-5 + 2) - 5(-5)

-15 + 4 = 12(-3) + 25

-11 = -36 + 25

-11 = -11

The result x(t) = 13t is a solution of the differential equation dx/dt = kx where k = 1/t

In this question, we are given a differential equation dx/dt = kx.

This equation is called a first-order homogeneous linear differential equation.

This means that the highest derivative that appears in the equation is the first derivative, and there are no nonlinear terms.

The coefficient k is a constant that represents the rate at which the quantity x(t) changes with respect to time t.

Given the differential equation

dx/dt = kx

And,

x(t) = 13t is a solution

We need to find k.

In order to find the value of k, we differentiate the given solution with respect to time t and equate it to the given differential equation.

dx/dt = d/dt (13t)

= 13

Substituting the value of x and dx/dt in the differential equation, we get:

13 = k (13t)

⇒ k = 1/t

Therefore, k = 1/t.

Substituting the value of k in the given differential equation, we get:

dx/dt = (1/t) x .............................(1)

Now, let’s verify whether x(t) = 13t is a solution of the differential equation (1).

LHS of (1) = d/dt (13t)

= 13

RHS of (1) = (1/t) (13t)

= 13

Therefore, x(t) = 13t is a solution of the differential equation dx/dt = kx where k = 1/t

To find a particular solution of the differential equation, we are given that x(t) = 13t is a solution.

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Answer:

neither

Step-by-step explanation:

The probability that a randomly selected carton has a weight greater than 12.31 ounces is approximately 0.2676.

To calculate the probability that a randomly selected carton has a weight greater than 12.31 ounces, we can use the z-score and the standard normal distribution.

(a) Probability for a single carton:

Step 1: Calculate the z-score using the formula: z = (x - μ) / σ

Where:

x = 12.31 (the given weight)

μ = 12 (mean weight)

σ = 0.5 (standard deviation)

z = (12.31 - 12) / 0.5 = 0.62

Step 2: Find the probability associated with the z-score using a standard normal distribution table or a calculator. The probability of a weight greater than 12.31 ounces is equivalent to finding the area to the right of the z-score of 0.62.

Using a standard normal distribution table or calculator, the probability is approximately 0.2676.

Therefore, the probability that a randomly selected carton has a weight greater than 12.31 ounces is approximately 0.2676.

Note: Make sure to round the result to four decimal places as requested.

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Answer:

1/2

Step-by-step explanation:

1/2 is bigger then 1/3 and 1/4.

2) the volume of a cone is 33,166.25 cm³`

3) the volume of a cylinder is 4.5 m³

4) the volume of the pan is `576 cm³`.

Here are the solutions to the given problems:

2) The formula for the volume of a cone is given by the formula;

`V=(1/3)πr²h`.

Here,`h=40 cm`

and the slant height is `50 cm`.

Using Pythagoras Theorem, we get the radius of the base of the cone;

`l² = r² + h²`

`r² = l² - h²

= (50 cm)² - (40 cm)²`

`r² = 2500 cm²`

The volume of the cone is;

`V = (1/3)πr²h`

`V = (1/3)π(2500 cm²)(40 cm)`

`V = 33,166.25 cm³`

3) The formula for the volume of a cylinder is given by the formula;

`V=πr²h`.

Here, the area of the base of the cylinder is `9π/4 m²`.

Then, the radius of the cylinder is;`A = πr²`

`(9π)/4 = πr²`

`r² = (9π)/(4π)`

We have;

`V=πr²h`

`V=(9π)/(4π)(2 m)`

`V = 4.5 m³`

4) The volume of the pan is given by the formula;

`V = l × b × h`

where `l = 12 cm`, `b = 12 cm`, and `h = 4 cm`.

Therefore;`V = 12 cm × 12 cm × 4 cm`

`V = 576 cm³`.

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Answer:

3x + 1

Step-by-step explanation:

Answer:

3x + 1

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

of means multiply

1/2 * 1/3

1/6

1/2 * 3/4

3/8

Answer:

1/2 of 1/3=1/6

1/2 of 3/4=3/8

Step-by-step explanation:

Whenever you come across question that states [a of b] simply means a×b

This also applies to this question.

1/2 of 1/3=1/2 × 1/3=1/6

1/2 of 3/4=1/2 × 3/4=3/8

Given that a = 21 and b = 27, the value of x can be calculated. The lengths of the other two sides of the right triangle can then be determined. If x = 29 cm, the length of the second leg can be found, followed by the length of the hypotenuse.

To find x, we use the equation X + 21 = x + 27. Given that a = 21, we substitute it into the equation to get X + a = x + 27. Rearranging the equation, we have X = x + 6.
Next, we determine the lengths of the other two sides of the right triangle. If x = 29 cm, the length of the second leg can be found by substituting the value into X + 21, which gives 29 + 21 = 50 cm.
To find the length of the hypotenuse, we use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Using a = 21 and b = 27, we have:
hypotenuse² = a² + b²
hypotenuse² = 21² + 27²
hypotenuse² = 441 + 729
hypotenuse² = 1170
Taking the square root of both sides, we find:
hypotenuse ≈ √1170 ≈ 34.18 cm
Rounding to the nearest hundredth, the length of the hypotenuse is approximately 34.18 cm.

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