Math Simplify: (2x^8) (2x^6) / 6x^9

\( \huge \pink{ \underline \mathfrak{ \green{Answer}}} \: \\ \\ \: \: \rightarrow \fbox{ a). \blue{ \: 54 \: }}\)

Step-by-step explanation:

\( \bf{Given} \: \colon 4w² + w-6, when \: \: w = -4 \\ \\ \tt \underline \red{Solution} \colon \\ \\ \rightarrow \: 4w {}^{2} + w \: - 6 \\ \\ \: put \: \: value \: \: of \: \: w \: \: in \: \: given \: \: equation \\ \\ \rightarrow \: 4( - 4) {}^{2} + \: (- 4 )\: - 6 \\ \\ \rightarrow \: 4(16) \: - 4 \: - 6 \\ \\ \rightarrow \: 64 \: - 10 \\ \\ \bf \rightarrow54\)

Answer: C

Step-by-step explanation:

I am fairly certain this is the right answer. Good luck on your quiz!

Answer:C

Step-by-step explanation:

I remember this from class one time hope it helps:)

The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

Learn more about the area of a circle here:

brainly.com/question/28642423.

#SPJ9

Answer:

D.

Step-by-step explanation:

When you replace the x and y in "2x-y" with (4,-2) its going to be 2(4)-(-2) and thats going to make it greater than 3.

Answer:

<-|---------------|----------------|--------------|->

 0                1/3              2/3             1

Step-by-step explanation:

easy peasy

The value of length BD in the given parallelogram is 10 units.

A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In other words, opposing sides and angles are congruent and parallel. There are numerous crucial characteristics of parallelograms, including:

A parallelogram's opposing sides are congruent.

A parallelogram's opposing angles are congruent.

The parallelogram's subsequent angles are additional (add up to 180 degrees).

A parallelogram's diagonals cut each other in half (i.e. they intersect at their midpoints).

According to the properties of parallelogram the diagonals of a parallelogram bisect each other.

Thus, BE = ED

Given BE = 5

Thus, ED = 5.

Now, the value of BD = BE + ED = 5 + 5 = 10

Hence, the value of BD in the given parallelogram is 10 units.

Learn more about parallelogram here:

https://brainly.com/question/29147156

#SPJ1

Answer:

$15353.13

Step-by-step explanation:

The cost of the new car is $25000

It's value decreases by 15% each year

So value of the car after 1 year = (100-15)% of original cost

100 - 15% = 85% which in decimal is 0.85

Cost after 1 year = 25000 (0.85)

Coast after 2 years = 25000(0.85)(0.85) = 25000(0.85)²

After 3 years cost = 25000(0.85)³ = $15353.125 or $15353.13 to the nearest cent

In general, the cost of the car in n years

= 25000(0.85)ⁿ

Number of years taken to reach the amount of $12,690 is 5 days,

Compound interest is the interest which is calculated on both the initial principal and the accumulated interest from previous periods. It can be easily understood as interest on interest.

                              \(A= P(1+\frac{r}{n})} ^{nt}\)

Principal amount invested by Lydia = $8,300

Rate of compound interest per day =2.2%

To find the number of years that have taken to reach the amount value of $12,690 .

By using compound interest formula,

\(A= P(1+\frac{r}{n})} ^{nt}\)

\(12690 = 8300(1+ \frac{2.2}{365})^(365*t)\)

\(\frac{12690}{8300}=(1.000060274)^{365*t}\)

Taking log on both sides, we get,

log(1.5289156627) =365*t log(1.000060274)

log(1.5289156627)/log(1.000060274)= 365*t/log(1.000060274)⇒

0.184383 - 0.00002618= 365*t

⇒1843.5 =365*t

⇒t=5 days.

Hence, number of years taken to reach the amount of $12,690 is 5 days,

Learn more about compound interest here:

https://brainly.com/question/3989769

#SPJ1

If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

For more such question on height. visit :

https://brainly.com/question/28990670

#SPJ8

On evaluating, the function f(x) and g(x) the values of f(g(3)) = - 11 and f(g(x)) = -35x + 22.    

A relation between a collection of inputs and outputs is known as a function. A function is an association between inputs in which each input is connected to approximately one output. To find f(a) for a given function f(x) we simply substitute 'a' instead of 'x' in the given function f(x).

Here we have

f(x) = 7x - 5 and g(x) = - 5x + 4

10. f(g(3))  

To find g(3) take x = 3 in g(x)

=> g(3) = - 5(3) + 4 = - 15 + 4 = 11  

=> g(3) = - 11

To find f(g(3))  take x = g(x) = - 11 in f(x)

f(g(3)) = 7(-11) - 5 =  - 77 - 5 = - 82

∴ The value of f(g(3)) = - 11  

11. f(g(x)

To find f(g(x)) take x = g(x)

=>  f(g(x) = 7(-5x + 4) - 5  

=>  f(g(x)) = -35x + 28 - 5

=>  f(g(x)) = -35x + 22  

∴ f(g(x)) = -35x + 22    

Therefore,

On evaluating, the function f(x) and g(x) the values of f(g(3)) = - 11 and f(g(x)) = -35x + 22.    

Learn more about Evaluating functions at

https://brainly.com/question/29110055

#SPJ1

Given:

To Find:

The area of a given diagram

Formula:

Explanation:

Area of a given diagram can be found by the sum of two shapes that is rectangle and triangle.

Final Answer:

-5 4/9 is one way.

-5 = -45/9, so -45/9 + 4/9. -41/9 is another way.

-41/9 = -4.5555.... , so -4.5555... is another way.

The three ways of writing \(- 5\frac{4}{9}\) is - 49/9 and  - 5.44.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, \(- 5\frac{4}{9}\).

One way of writing is - (45 + 4)/9 = - 49/9.

Another way of writing this is in a decimal form which is,

= - 5.44

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

To know more about probability here

https://brainly.com/question/11234923

#SPJ1

The missing numerator of the equation 3 1/3=x/6 is 20.

The missing numerator (x) is 20.

Here, we have to find the missing numerator (x) in the fraction 3 1/3 = x/6, we can convert the mixed number 3 1/3 to an improper fraction and then solve for x.

Convert 3 1/3 to an improper fraction:

3 1/3 = 3 + 1/3 = 3 + (1/3) = (3*3 + 1) / 3 = 10/3

Set up the equation:

10/3 = x/6

To find the value of x, cross-multiply the equation:

10 * 6 = 3 * x

60 = 3x

Divide both sides by 3 to isolate x:

x = 60 / 3

x = 20

So, the missing numerator (x) is 20.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ3

Solution is 10. How?

I dont know if it helps but tell me if it does

Answer: A, 4 inches.

Step-by-step explanation: 36 divided by 9 is 4.

Answer:

www.imsorryineedpoints.org

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ1

Answer:

XAXA

Step-by-step explanation:

wandering and lands do not rhyme, so tha pattern is XA

gone and hands do not rhyme, so pattern is XA

wand and gone have similar sounds so these rhyme

land and hands rhyme

Answer:

17

Step-by-step explanation:

Answer:17

Step-by-step explanation:

24-7=17

Answer:

Step-by-step explanation:

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

Answer:

Step-by-step explanation:

After answering the presented question, we may conclude that  expressions As a result, Sarah will have E61,600 left over from her loan after purchasing 8 limos.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

a) Sarah can buy 8 limousines because:

600,000 / 67,300 = 8.91

Because she cannot purchase a fraction of a limousine, the maximum number of limos she may purchase is eight.

b) To determine how much of the loan is left over, deduct the total cost of the limos from the loan amount:

8 x 67,300 = 538,400

600,000 - 538,400 = 61,600

As a result, Sarah will have E61,600 left over from her loan after purchasing 8 limos.

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

not a question...and scribbles.

The division ➗ ÷ sign will make the expression correct if you correct the question!

Step-by-step explanation:

Find the product. Simplify your answer: (2b-3)(b - 2)

use the FOIL method. Multiply the: first, outer, inner, and last pairs:

\((2b-3)(b - 2)\\2b^2-4b-3b+6\\2b^2-7b+6\)

Answer:

f(3) = 3 + 1 = 4

Step-by-step explanation:

Since 3 > 0, we need to focus on the part of the function where x > 0. So:

f(3) = 3 + 1 = 4.

Answer:

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 12 on the left side and the dividend 155 on the right side like this:

 1 2 ⟌ 1 5 5

Step 2:

The divisor (12) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 2 ⟌ 1 5 5

Step 3:

Multiply the divisor by the result in the previous step (12 x 0 = 0) and write that answer below the dividend.

       0    

 1 2 ⟌ 1 5 5

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 2 ⟌ 1 5 5

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

Step 6:

The divisor (12) goes into the bottom number (15), 1 time(s). Therefore, put 1 on top:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

Step 7:

Multiply the divisor by the result in the previous step (12 x 1 = 12) and write that answer at the bottom:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

       1 2  

Step 8:

Subtract the result in the previous step from the number written above it. (15 - 12 = 3) and write the answer at the bottom.

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3  

Step 9:

Move down the last digit of the dividend (5) like this:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

Step 10:

The divisor (12) goes into the bottom number (35), 2 time(s). Therefore put 2 on top:

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

Step 11:

Multiply the divisor by the result in the previous step (12 x 2 = 24) and write the answer at the bottom:

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

         2 4

Step 12:

Subtract the result in the previous step from the number written above it. (35 - 24 = 11) and write the answer at the bottom.

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

     -   2 4

         1 1

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 155 divided by 12 calculated using Long Division is:12

11 Remainder

Answer:10

Step-by-step explanation:3x2=6 and 4x1=4 4+6=10

Answer:

See below

Step-by-step explanation:

Perimeter = (7x2) + (2x2) = 18

Area (L x W) = Square + rectangle

= (3x2) + (4x1) = 6 + 4 = 10