My friend needs help
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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

(0, 7/3), (1, 2/3), (2, -1).

Step-by-step explanation:

Input 3 x coordinates into the equation and find the y. 0, 1, and 2 will do.

-5x - 3y = -7

Substitute variable.

-5(0) - 3y = -7

Remove the term multiplied by 0.

-3y = -7

Divide by -3.

y = -7/-3

-a/-b = a/b.

y = 7/3

This makes the coordinate (0, 7/3)

-5x - 3y = -7

Substitute variable.

-5(1) - 3y = -7

Multiply.

-5 - 3y = -7

Add 5 to both sides.

-3y = -2

Divide by -3.

y = -2/-3

-a/-b = a/b.

y = 2/3.

This makes the coordinate (1, 2/3)

-5x - 3y = -7

Substitute variable.

-5(2) - 3y = -7

Multiply.

-10 - 3y = -7

Add 10 to both sides.

-3y = 3

Divide by -3.

y = 3/-3

-a/a = -1.

y = -1.

This makes the coordinate (2, -1).

Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Answer: 240 Calories are from Carbohydrates

Step-by-step explanation:

First, we will convert 80% into the decimal 0.8, then we will multiply this by the amount of total calories in the drink to create the following equation:

300 * 0.8 = 240 Calories.

The characteristics of polynomial graphs' intercepts reveal the multiplicity's characteristics. The function is a potential representation of the graph; f(x) = x²·(x - a) (x - a) , ²·(x - b) (x - b),⁴·(x - c) (x - c).

The alternative provides a function that can represent a graph;

f(x) = x²·(x - a) (x - a)

²·(x - b) (x - b)

⁴·(x - c) (x - c)

Reason:

The graph's description is as follows:

Three points on the graph deviate from the x-axis.

Therefore;

The first equation is satisfied by the graph's even multiplicity at three places, such as x2, (x - a)2, and (x - b)4.

The graph once almost linearly crosses the x-axis.

Therefore;

The first equation's function contains a single zero or component, such as (x - c), so;

The function is a potential representation of the graph;

f(x) = x²·(x - a) (x - a)

²·(x - b) (x - b)

⁴·(x - c) (x - c).

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Answer:

1.125 or 9/8

Step-by-step explanation:

Answer:

airship, glider, submarine, sailboat

Answer:

60.2 grams

Step-by-step explanation:

a = 510(1 - .263)⁷

a = 60.2341229517

rounded

a = 60.2 grams

Answer:

i think it's b4

Step-by-step explanation:

She spent $60 on school supplies before the start of the school year, thus the mistake percentage is 16.66666.

A number or ratio that is expressed as a fraction of 100 is known as a percentage in mathematics. There are also sporadic uses of the acronyms "pct.," "pct," and "pc." However, the percent sign "%" is widely used to signify it. There are no dimensions to the percentage amount. Percentages are essentially fractions because they have a numerator of 100. Put the percent sign (%) next to a number to indicate that it is a percentage. For instance, you would score a 75% if you answered 75 out of 100 questions on a test correctly (75/100). Divide the money by the total to get percentages, then multiply the result by 100. The formula (value/total) x 100% is used to determine the percentage.

given

Percent Error =  (Vobserved - Vtrue )/ Vtrue

=  55 - 66 / 66

=  -11 / 66

=  -16.666666666667%

=  16.666666666667% error

She spent $60 on school supplies before the start of the school year, thus the mistake percentage is 16.66666.

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Answer:

21.4

Step-by-step explanation:

Given that :

Mean number of days (m) = 30

Standard deviation (σ) = 2

Sample size (n) = 1000

First find the Zscore

Using the relation :

Zscore = (x - m) / σ

For x = 24

Zscore = (24 - 30) / 2

Zscore = - 6/ 2

Zscore = - 3

For x = 26

Zscore = (26 - 30) / 2

Zscore = - 4/ 2

Zscore = - 2

P(-3 < z < - 2)

P(z < - 3) = 0.0013499

P(Z < - 2) = 0.02275

0.02275 - 0.0013499 = 0.0214001

Hence,

n * 0.0214001

1000 * 0.0214001 = 21.4001

= 21.4

Answer:

3.34 containers

Step-by-step explanation:

I always say: Recognize our numbers

8.35 2.5

"Holds 2.5 kg"

8.35 divided by 2.5

=3.34

Answer:

  (a)  83°

Step-by-step explanation:

You want the measure of angle 5, given that the adjacent angle 6 has a measure of 97° where the lines cross.

The two angles, 5 and 6, are a linear pair, so are supplementary.

  ∠5 = 180° -∠6

  ∠5 = 180° -97°

  ∠5 = 83°

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Answer:

4/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 12 and 3 is 3.

12 ÷ 33 ÷ 3.

Reduced fraction: 41. Therefore, 12/3 simplified to lowest terms is 4/1.

Answer:

i think you divide 12/3 and you get the answer of 4

Step-by-step explanation:

Answer:

22×82=1804. 1804÷18,04

Step-by-step explanation:

✨✨

Each pair of athletic shoe cost $20 and each pair of athletic shoe cost $35, in the given arithmetic problem.

By doing addition, subtraction, multiplication, and division on numbers, arithmetic is defined as the study of numbers.

Let 20x be the cost of manufacturing 20 athletic shoes and 10y be the cost of manufacturing 10 casual shoes, then

20x + 10y = 750

10y =  750 - 20x

y =  75 -2x

Let 25x be the cost of manufacturing 25 athletic shoes and 20y be the cost of manufacturing 20 casual shoes, then

25x + 20y = 1200  

20y = 1200 - 25x

y = 60 - 25x/20

y = 60 - 1.25x

Equalise the y terms

75 -2x = 60 - 1.25x

75 - 60 = -1.25x + 2x

15 = 0.75x

x = 15/ 0.75

x = 20

Substitute the value of x in y =  75 -2x

y =  75 -2(20)

y = 75 - 40

y = 35

Thus, each pair of athletic shoe cost $20 and each pair of athletic shoe cost $35.

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Full question:-

Ranger Shoe Company manufactures two types of shoes, athletic shoes and casual shoes. The cost of manufacturing 20 pairs of athletic shoes and 10 pairs of casual shoes is $750. If 25 pairs of athletic shoes and 20 pairs of casual shoes were manufactured, the cost would be $1200. How much does it cost to manufacture each type of shoe?

The perimeter of the given triangle is: P = √10 + 4√2 + √26

The formula for the distance between two coordinates is expressed as:

d = √[(y₂ - y₁)² + (x₂ - x₁)²]

Thus:

RS = √[(1 - 2)² + (1 + 2)²]

RS = √10

Similarly, we can say that:

ST = √[(-3 - 1)² + (-3 - 1)²]

ST = √32 = 4√2

RT = √[(-3 - 2)² + (-3 + 2)²]

RT = √26

Thus, perimeter of triangle is:

P = √10 + 4√2 + √26

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The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.

To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.

Initial number of ponds: 19

Final number of ponds: 10

To calculate the percent decrease, we can use the following formula:

Percent Decrease = (Difference / Initial Value) * 100

Let's apply this formula to the given data:

Difference = Initial number of ponds - Final number of ponds

Difference = 19 - 10

Difference = 9

Percent Decrease = (9 / 19) * 100

Now, let's calculate the percent decrease:

Percent Decrease = (9 / 19) * 100

Percent Decrease ≈ 47.37%

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Answer:

x-8 to get the zero for the 8 you have to add it. And for the second part you have to subtract four from itself.

Step-by-step explanation:

From the expression (x - 8) (x + 4), the values of x need to be 8 or -4, for x to be equal to zero.

Given that:

(x - 8) (x + 4) = 0

The expression from above is the expanded form of a given quadratic equation.

To find the quadratic equation, we will use the values of one enclosed bracket to multiply the values of the other.

i.e.

(x -8) (x + 4) = 0

x² + 4x - 8x - 32 = 0

x² - 4x - 32 = 0

From the roots;

(x - 8) (x + 4) = 0

Let;

(x - 8) = 0 or (x +4) = 0

x - 8  = 0 or  x + 4 = 0

x = 8 or x = -4

Therefore, we can conclude that the value of x needs to be 8 or -4 for x to be equal to zero.

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Answer:

Step-by-step explanation:

1). g(x) = -0.5x

   Equation form of the given function is,

   y = -0.5x

 Interchange x and y,

  x = -0.5y

  Solve for y,

  y = \(-\frac{x}{0.5}\)

  y = -2x

  Inverse function will be,

  \(g^{-1}x=-2x\)

2). h(x) = 4x

   Equation form of the function will be,

   y = 4x

   Interchange x and y,

   x = 4y

   Solve for y,

   y = \(\frac{x}{4}\)

   Inverse function will be,

   \(h^{-1}(x)=0.25x\)

3). y = x - 4

    Interchange x and y,

    x = y - 4

    Solve for y,

    y = x + 4

    Therefore, inverse of the linear equation is,

    y = x + 4

4). f(x) = \(\frac{x}{2}\)

    Equation form of the function will be,

    y = \(\frac{x}{2}\)= x

     Interchange x and y,  

     x = \(\frac{y}{2}\)

    Solve for y,

     y = 2x

     Therefore, inverse function will be,

     \(f^{-1}(x)=2x\)

5). k(x) = x

     Equation form of the function will be,

     y = x

     Interchange x and y,

     x = y

     Solve for y,

     y = x

     Inverse of the function 'f' will be,

     \(k^{-1}(x) =x\)

6). p(x) = x + 4

     Equation form of the function will be,

     y = x + 4

     Interchange x and y,

     x = y + 4

     Solve for y,

     y = x - 4

     Inverse of the function 'p' will be,

     \(p^{-1}(x)=x - 4\)

Answer:

40% out of 100 squares are shaded.

Step-by-step explanation:

Answer: 8 Nights

Step-by-step explanation:

Cost of a plane ticket to Florida(c) = $1000

cost at the hotel per night (n)

Amount left with Karla after spending on the flight ticket =

$3000-$1000= $2000

To find out how many nights she can stay we should divide the remaining amount she has with (n) = $2000/$250 = 8

Hence Karla can stay for 8 nights

Answer:

B

Step-by-step explanation:

The tangent of an angle is the ratio of the opposite side to the adjacent.

With respect to Angle A, the opposite side is 12.

And the adjacent side is 5.

Therefore:

\(\displaystyle\tan(A)=\frac{\text{opp}}{\text{adj}}=\frac{12}{5}\)

The answer is B.

Answer:

Inverse Property of Addition

Step-by-step explanation:

From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

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This function is continuous everywhere, as the limit of sinx/x as x approaches 0 is 1, and f(0) = 1. It cannot be extended to a larger domain, as it is already continuous everywhere.

For example, when x = 0.1, f(x) = 0.998334166, and when x = 0.001, f(x) = 0.998999667.This function is continuous everywhere, as the limit of sinx/x as x approaches 0 is 1, and f(0) = 1. This means that there are no breaks or discontinuities in the function, and it is continuous everywhere. To demonstrate this, we can look at specific values of x. For example, when x = 0.1, f(x) = 0.998334166, and when x = 0.001, f(x) = 0.998999667. This shows that the function is smoothly transitioning from one value to the next, and is therefore continuous everywhere. The function cannot be extended to a larger domain, as it is already continuous everywhere. This means that the function is defined everywhere on its domain, and there is no need to extend it.

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Therefore, the domain is (-∞, ∞) and the range is (-∞, ∞) for the given function.

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range) with the property that each input is associated with exactly one output. In other words, a function is a rule that assigns a unique output value to each input value.

Here,

To find the domain and range of the function f(x) = -1/4(x³ + 6x² + 5x - 4), we need to consider the restrictions on x and the possible values of f(x).

Domain:

Since the function involves a cubic expression in the numerator, there are no restrictions on x, and the domain of the function is all real numbers, or (-∞, ∞).

Range:

To find the range of the function, we need to consider the behavior of the cubic expression as x goes to positive infinity or negative infinity. As x becomes very large or very small, the dominant term in the expression becomes x³, and the other terms become negligible. The coefficient of x³ is negative, which means that the cubic expression approaches negative infinity as x goes to negative infinity and approaches positive infinity as x goes to positive infinity.

Therefore, as x approaches negative infinity, f(x) approaches positive infinity, and as x approaches positive infinity, f(x) approaches negative infinity. Hence, the range of the function is all real numbers, or (-∞, ∞).

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