simplify 2m exponent of 0 n exponent of 6 over 3n exponent of 5

Answer:Exact Form:

1/3

Decimal Form:

0.33333333333

Step-by-step explanation:

Answer:

1/3 or 0.333333333333333333333333333333333333

Step-by-step explanation:

1/5 / 3/5

Dividing can be done by multiplying the number by its reciprocal (flipped).

So, 3/5 has a reciprocal of 5/3

1/5*5/3 = 5/15

5/15 = 1/3 or 0.33333(repeated forever)

The description is that a unit increment in the number of sweatshirt will cause a $6.50 increment in the total charges

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Slope = 6.50

This means that a unit increment in the number of sweatshirt will cause a $6.50 increment in the total charges

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Length of AD is, 2.5 inches

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Values are,

AB = 18 inches,

AE = 5 inches,

CE = 6 inches,

Let the length of ED = x

Now, By the figure,

⇒ ΔABD ≈ ΔECD

Hence, By definition of proportional we get;

⇒ AB / AD = EC / ED

⇒ AB / (AE + ED) = EC / ED

⇒ 18 / (5 + x) = 6 / x

⇒ 3x = 5 + x

⇒ 3x - x  =5

⇒ 2x = 5

⇒ x = 2.5 inches

Thus, Length of AD is, 2.5 inches

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Answer:

using the equation of the straight line we solve

Given that x, y, z are different and satisfy the equations:

x^3 + x^2 - x = 0

y^3 + y^2 - y = 0

z^3 + z^2 - z = 0

We can multiply the first equation by y, the second by z, and the third by x to obtain:

x^3y + x^2y - xy = 0

y^3z + y^2z - yz = 0

z^3x + z^2x - zx = 0

Adding these three equations together, we get:

x^3y + x^2y - xy + y^3z + y^2z - yz + z^3x + z^2x - zx = 0

Expanding and simplifying, we find that:

x^2y + xy^2 + y^2z + yz^2 + z^2x + zx^2 - xy - yz - zx = 0

Now, we use the fact that x, y, and z are roots of the equations given above to simplify the expression further:

x^2 - x + y^2 - y + z^2 - z = 0

We can also write this as:

(x - 1)(x + 1) + (y - 1)(y + 1) + (z - 1)(z + 1) = 0

This expression can be factorized as:

(x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = 0

Since x, y, and z are all different, we have that:

(x - 1)(x + 1) ≠ 0

(y - 1)(y + 1) ≠ 0

(z - 1)(z + 1) ≠ 0

Therefore, we have:

(x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = (x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = 0

So, we can conclude that:

xyz = -1

And,

1 + xyz = 0

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Answer: 12/35 units sqr

Step-by-step explanation: Multiply both values to find area and put proper units.

Answer:

Step-by-step explanation:

The area of a rectangle is given by the formula: area = length x width.

For a rectangle with length 4/7 and width 3/5, the area can be calculated as follows:

area = 4/7 x 3/5

= 12/35

So, the area of the rectangle with length 4/7 and width 3/5 is 12/35 square units.

Samantha used 120 grams of 25% sugar syrup.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. The result is 120 grams of 15% sugar syrup.

Let Samantha used y grams of 25% sugar syrup.

Then, she used (120 - y) grams of 10% sugar syrup.

We know that the final concentration of sugar syrup is 15%, which means that 15% of the total 120 grams of the syrup is sugar.

This can be expressed as:

0.15 x (y + (120 - y)) = 0.15 x 120

Expanding and simplifying the equation, we get:

0.15y + 0.15 x 120 - 0.15y = 18

0.15 x 120 = 18

Solving for y, we get:

y = 120 x 18 / (0.15 x 120)

= 120 x 18 / 18

= 120.

Hence, Samantha used 120 grams of 25% sugar syrup.

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Answer:

work hard you can get it

Step-by-step explanation:

lol

Using a trigonometric relation we will see that the value of x is 81.2°

We can see that we have a right triangle, and the angle x is the one that is on the top vertex.

We can use any trigonometric relation to find the value of x, for example we can use:

sin(x) = (opposite cathetus)/(hypotenuse)

Where we can see that:

opposite cathetus = 84

hypotenuse = 85

Then we will get:

sin(x) = 84/85

x = Asin(84/85) = 81.2°

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The value of x in the figure is 15 degrees

The value of x in the figure is solved using the concept of sum of exterior angles in a polygon

The sum of exterior angles in a polygon is 360

7x + 83 + 33 + 6x + 49 = 360

collecting like terms

7x + 6x = 360 - 83 - 33 - 49

13x = 195

isolating x

x = 15 degrees

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The image vertices of D′ if the preimage is rotated 90° counterclockwise is: A. D′(−2, −4).

In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices for D, the coordinates of the vertices of the image point D' are as follows:

(x, y)                               →            (-y, x)

Ordered pair D  = (-4, 2) → Ordered pair D' = (-2, -4)

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Answer:

EG/HJ=GF/JI or EG/HJ=FE/IH

Step-by-step explanation:

Given

AngleF=AngleI

AngleE=AngleH

Therefore triangles EGF AND HJI are similar by Angle-Angle Similarity Theorem

So

EG/HJ=GF/JI=FE/IH as they are the corresponding sides of a similar triangle

Answer: This is the answer

Step-by-step explanation:

The square root expression with it's correct simplified radical can be matched as follow:

√45 =  3√5

√200 = 10√2

√80 = 4√5

√24 = 2√6

A simplified radical is a radical expression in which the radicand (the expression inside the square root symbol) has been simplified as much as possible. For example, the simplified form of √8 is 2√2.

√45 = √(9*5) = √9 * √5 = 3  * √5  =  3√5

√200 = √(100*2) = √100 * √2 = 10 * √2  =  10√2

√80 = √(16*5) = √16 * √5 = 4 * √5  =  4√5

√24 = √(4*6) = √4 * √6 = 2 * √6  =  2√6

Thus, match the square root expression with it's correct simplified radical accordingly.

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The option that is not a way by which minerals are being formed is decrystallization. That is option B

Minerals are organic substances that are form through the following ways;

Decrystallization is not a way through which minerals are formed because it is just the break down of solid or crystal structures.

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Complete question:

Which of the following is not a method by which minerals form?. a. crystallization. b. decrystallization. c. water evaporation from a solution. d. cooling of magma or lava

Step-by-step explanation:

Seeing the question, I assume there are answer choices, but I'll give all possible answers below.

A ratio is pretty much a fraction, that's about it. It's asking the ratio of undergraduate to graduate, which creates

[tex] \frac{undergraduate}{graduate} [/tex]

Now we plug in those numbers in the correct spots

[tex] \frac{8500}{3500} [/tex]

Now to simplify. Since both of these numbers end in 0, there a little truck you can do to automatically make it smaller, and that's getting rid of all the 0s on the end. That makes it...

[tex] \frac{85}{35} [/tex]

To continue simplifying

[tex] \frac{8500}{3500} = \frac{85}{35} = \frac{17}{7} [/tex]

The sides and angle of the right triangle are as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the side of the triangle can be found using trigonometric ratios as follows:

Hence,

tan 5 = opposite / adjacent

tan 5 = 5 / b

b = 5 / tan 5

b = 57.1506949525

Hence,

b = 57.2 units

sin 5 = opposite / hypotenuse

sin 5 = 5 / c

c = 5 / sin 5

c = 57.3685943662

c = 57.4 units

B = 180 - 90 - 5

B = 85 degrees

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we add row 1 to row 3 to get the final matrix = [3, 0, 3; 1, 1, 1; 0, 0, 0]. Thus, the new matrix is obtained by applying the given row operations in the given order.

Let A be a given matrix.

Row Operation 1: Exchange row 1 and row 2.

Row Operation 2: Multiply row 1 by 3.

Row Operation 3: Add row 1 to row 3.

Then,

= [ 3, 0, 3; 1, 1, 1; 0, 0, 0 ]

We can obtain the matrix by applying the row operations in the given order. First, we exchange row 1 and row 2 to obtain the matrix [1, 1, 1; 3, 0, 3; 0, 0, 0]. Then we multiply row 1 by 3 to get [3, 0, 3; 1, 1, 1; 0, 0, 0]. Finally, we add row 1 to row 3 to get the final matrix = [3, 0, 3; 1, 1, 1; 0, 0, 0]. Thus, the new matrix is obtained by applying the given row operations in the given order.

The complete question is :

Suppose [tex]$\begin{bmatrix}4 & -2 & 3 \\2 & 3 & 1 \\5 & 1 & -2\end{bmatrix}$[/tex] is an matrix that can be obtained from [tex]$\begin{bmatrix}1 & 2 & 3 \\3 & 2 & 1 \\2 & 5 & -2\end{bmatrix}$[/tex]using the row operations (in the given order) [tex]$R_1 \leftrightarrow R_2, R_2 - 3R_1, R_3 - 5R_1$[/tex]

What is [tex]$\begin{bmatrix}1 & 2 & 3 \\3 & 2 & 1 \\2 & 5 & -2\end{bmatrix}$[/tex]?

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The equation of the new graph is f(x) = 9^(x - 2)

From the question, we have the following parameters that can be used in our computation:

f(x) = 9^x

Also, we have

shifted 2 units to the right,

This is represented as

(x, y) = (x - 2, y)

Substitute the known values in the above equation, so, we have the following representation

f(x) = 9^(x - 2)

Hence, the function is f(x) = 9^(x - 2)

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Answer:

40%

Step-by-step explanation:

32 out of 80 as a percentage it is 40%

Answer:

Step-by-step explanation:

You want the value of x that makes f(x) = 60, when f(x) is the exponential function with an initial value of 100 and a decay factor of 0.95.

The form of an exponential function is ...

  f(x) = (initial value) · (decay factor)^x

For the given initial value and decay factor, the function is ...

  f(x) = 100 (0.95^x)

Solving for x, we find ...

  f(x)/100 = 0.95^x

  log(f(x)/100) = x·log(0.95)

  x = log(f(x)/100)/log(0.95)

For f(x) = 60, the value of x is about ...

  x = log(60/100)/log(0.95) ≈ 9.959

The value of x is about 9.959.

You can estimate that the used cars Mr. Ford reviewed were worth roughly $2,200 less now than when they were new, had an average price of around $22,000 when new, and typically lose $2,200 of value per year. (option 1, 2, 3)

To calculate this, you can substitute the x-values from the table into the equation and solve for y. For example, when x is 3,

which is the price of the car when it was 3 years old. This same formula can be used to calculate the price of the car at other age values and shows that the car loses an average of $2,200 of value per year. At 5 years old, the equation would be

which is the average value of the used car at that age.

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Complete Question:

Mr. Ford wants to better understand the value of used cars over time. He reviewed some used-car ads and recorded the relationship between age and price in a table. Finally, he calculated a line of best fit. Used cars Age in years (x) 3 6 4 2 6

Price (y) $15,000 $8,000 $12,000 $5,000 $19,000 $10,000

The equation for the line of best fit is y = -2,200x + 22,000.

Based on the equation, what estimates can you make about the used cars Mr. Ford reviewed?

Select all that apply.

For the given height function h(t)= -16t²+88t the rocket is in the air for 5.5 seconds.

Height of the launched rocket is equal to :

h(t)= -16t²+88t

Time is represented by 't' in seconds after launch

'h' represents the height of the rocket.

For how long time rocket is in the air :

h(t) = 0

⇒  -16t²+88t = 0

⇒ t ( -16t+88 ) = 0

⇒ t = 0 or ( -16t+88 ) = 0

value of time 't' cannot be equal to zero.

This implies ( -16t+88 ) = 0

⇒16t = 88

⇒ t = 88 / 16

⇒ t = 5.5 seconds

Therefore, the time for which rocket is in the air as per given height function is equal to 5.5 seconds.

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Answer:

$ 4564.32

Step-by-step explanation:

APR=2%, monthly interest rate, i=2%/12=0.02/12

Monthly payment, A=250

After 18 monnth, n=18 months,

the balance. Pis therefore

P = A((1+i)^n-1)/i

=250((1+0.02/12)^18-1)/(0.02/12)

=$ 4564.32

Answer:

2826 sqft

Step-by-step explanation:

π r² = 900π =2826

Answer:

17.2%

Step-by-step explanation:

In the first hour:

The farmer sells 8% of the total chickens:

         [tex]= \frac{8}{100}[/tex]×[tex]250[/tex]

         = 20 chickens

Therefore, the number of chickens left are:

= (250 - 20) chickens

= 230 chickens

In the second hour:

The farmer sells 10% of the chickens left:

= [tex]\frac{10}{100}[/tex]×[tex]230[/tex]

= 23 chicken

∴ The total number of chickens sold in the two hours = (20 + 23) chickens

                                                                                      = 43 chickens

43 has to be expressed as a percentage of the original number (i.e. 250)

Percentage = [tex]\frac{Number Of Chickens Sold}{Total Number Of Chickens}[/tex]×[tex]100[/tex]%

                    = [tex]\frac{43}{250}[/tex]×[tex]100[/tex]%

                    = 17.2%

Answer:

Step-by-step explanation:

Circumference = 2piR or piD

pi(3) = 9.42

KLMN is a trapezoid where KL=MN and m∠1=m∠2 . It is also given that LM:KN = 8/9 and PKLMN=132.The midsegment is 34 units long.

The trapezoidal shape KLMN, where KL = MN.

m∠1=m∠2

Moreover, LM/KN = 8/9

Additionally, KLMN's perimeter is 132 units.

The midsegment's size (KM).

We can see that in the above case, KM is a transversal in relation to the parallel lines LM and KN. which implies,

∠KML=∠MKN

∠1=∠2

Two base angles are clearly equal. So, KLM and KMN are isosceles triangles.

Using the side ratios of two triangles as an example,

= KL: LM: MN: KN

= 8 : 8 : 8 : 9

The ratio units add out to 8 + 8 + 8 + 9 = 33. Consequently, each ratio's value is,

=[tex]\frac{perimeter}{33} \\\\\frac{132}{33} \\\\=4[/tex]

The segment LM's length is thus,

LM=8×4=32

Additionally, section KN's length is

KN=9×4=36

Taking the average of LM and KN as, one can then determine the length of the midsegment KM.

[tex]KM=\frac{LM+KN}{2} \\\\\\KM=\frac{32+36}{2}[/tex]

KE=34

As a result, the midsegment is 34 units long.

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The z statistic that is associated with the class's average is 1.25.

In the given question the population of all standardized ex scores has a mean of 500 and a standard deviation of 100 . Twenty-five students in a professor's class take the ex , and their average score is 525.

We have to find z statistic that is associated with the class's average.

n = 25

μ = 500

σ = 100

[tex]\bar X[/tex] = 525

Then ,

z statistic = [tex]\frac{\bar{X} - \mu}{\frac{\sigma}{\sqrt n} }[/tex]

putting the value in the formula:

z statistic = (525-500)/(100/\sqrt 25)

z statistic = (25)/(100/5)

z statistic = (25)/(20)

z statistic = 1.25

Therefore,

The z statistic that is associated with the class's average is 1.25.

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