i need help with this unit rate

The expression to a + bi form is \(=10-\sqrt{2i}\)

Simply put, what is linear algebra?

The subject of linear algebra is linear combinations. To build new columns and arrays of numbers, arithmetic is used to arrays of numbers called matrices and columns of numbers called vectors. The study of the planes and lines, vector spaces, and mappings needed for linear changes is referred to as algebra.

What is nonlinear equations?
A nonlinear equation is one whose graph is not a straight line and whose greatest power of the variables is not 1.

Step-by-step explanation:

Given:

\(-\sqrt{4} + \sqrt{-72}+\sqrt{64}+\sqrt{-98}=2+8-7\sqrt{2i}+6\sqrt{2i}\)
\(=10-\sqrt{2i}\)

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Therefore, the length of f By law of sine is approximately 9.5 inches to the nearest tenth of an inch.

The sine rule, commonly referred to as the law of sines, is an equation that connects the sines of any triangle's angles to the lengths of its sides1. This rule states that where a, b, and c are a triangle's side lengths and,, and are its opposite angles, R is the triangle's circumcircle's radius.

The equation a/sin() = b/sin() = c/sin() = 2R

When adequate details about the other sides and angles are available, the law of sines can be utilised to determine an unknown side length or angle measure of a triangle1. The law of cosines is the other trigonometric equation frequently used to determine the lengths and angles in scalene triangles.

This issue can be resolved using the sine law. According to the law of sines, the following connection applies in any triangle ABC with sides a, b, and c opposite angles A, B, and C, respectively:

Sine (A) = Sine (B) = Sine (C) (C)

Let's use triangle DEF to illustrate this law:

f/sin = d/sin(D) = e/sin(E) (F)

d and e are known to be 6.4 and 7.8 inches, respectively. Also, we are aware that 33 degrees Fahrenheit equals F.

Therefore,

6.4/sin(D) = 7.8/sin (f/sin(33°)) (E)

With the knowledge that sin(A) = opposite/hypotenuse, we can find the values of sin(D) and sin(E):

d/f = sin(D) = d/hypotenuse

Sin(E) is equal to e/hypotenuse e/f.

When we enter these values into our previous equation, we obtain:

6.4/(d/f) = 7.8/(e/f) is what f/sin(33°) =.

f² = (6.4 * sin(33°))² + (7.8 * sin(33°))²

Solving for f gives us:

f ≈ 9.5 inches

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Answer:

D

Step-by-step explanation:

8×16=128

2×4=8

128+8=136m^2

answer: D

Answer:

he is wrong becuase 89 times a number greater than 0 cannot result in a product greater than the number

Step-by-step explanation:

Based on real algebra properties, we know that the product of  8/9 and 2 and 3/4 is not 3 and 1/4.

The multiplication of two positive integers equals another positive integer. Each term of a multiplication can be rewritten as sums of multiples of 10, which can be simplified by algebra:

  Given;   Definition of multiplication

 8/9 and 2  = 26/9

3/4

The product is;

26/9 x 3/4

= 13 x 1/6

= 13/6

Based on real algebra properties, we know that the product of  8/9 and 2 and 3/4 is not 3 and 1/4.

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Answer:

seventeen degrees(17⁰)

STEP 1

Identify what is required and allocate data rightfully.

Height = 8cm

Radius = 4cm

The surface area of a cylinder is given as

where r is radius and h is height.

STEP 2

We get the surface area for this particular cylinder as

SURFACE AREA = 301.6 sq cm

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\(B \: . \: \: 2n + 8\)

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Answer:

its b thats my answer

Step-by-step explanation:

2n+8

Answer:

\(x \geqslant 3\)

[3, infinity)

Step-by-step explanation:

-3n + 4 < n-8

get all of the n's to the same side

-3n + 4 < n-8

+3n + 4 < +3n-8

4 < 4n-8

send the number (-8) off to the other side

4 < 3n-8

+8< 3n +8

12 < 3n

isolate variable

12/3 < 3n/3

4 < n

so

\(x \geqslant 3\)

so, we know the diameter is 8, so that means its radius is half that, or 4.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)

A balance sheet is a financial statement that presents a company's financial position at a specific point in time. It shows the company's assets, liabilities, and equity.

Here are the steps to compute a balance sheet:

List all the assets: Assets are what the company owns, and they can be classified as current assets or long-term assets. Current assets include cash, accounts receivable, inventory, and prepaid expenses. Long-term assets include property, plant, and equipment, investments, and intangible assets.

Calculate the total value of assets: Add up the value of all the assets listed in step 1.

List all the liabilities: Liabilities are what the company owes to others and can be classified as current liabilities or long-term liabilities. Current liabilities include accounts payable, short-term loans, and accrued expenses. Long-term liabilities include long-term loans and bonds.

Calculate the total value of liabilities: Add up the value of all the liabilities listed in step 3.

Calculate equity: Equity is the difference between the assets and liabilities. It can be calculated as Total Assets minus Total Liabilities.

List equity: Write down the equity value calculated in step 5.

Add up the total liabilities and equity: This should be equal to the total assets calculated in step 2.

The balance sheet formula is:

Assets = Liabilities + Equity

By following the above steps, you can compute a balance sheet for a company. It is important to note that the balance sheet is a snapshot of the company's financial position at a specific point in time and should be updated regularly.

P.S: An overview was given due to your incomplete information.

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Answer:

\(a = 6m/s^2\)

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

\(a\ \alpha\ \frac{1}{m}\)

Convert variation to equality

\(a = \frac{F}{m}\); Where F is the constant of variation (Force)

Make F the subject of formula;

\(F = ma\)

When mass = 4kg; Acceleration = 15m/s²

\(F = 4 * 15\)

\(F = 60N\)

When mass = 10kg; Substitute 60 for Force

\(F = ma\)

\(60 = 10 * a\)

\(60 = 10a\)

Divide both sides by 10

\(\frac{60}{10} = \frac{10a}{10}\)

\(a = 6m/s^2\)

Hence, the acceleration is \(a = 6m/s^2\)

Step-by-step explanation:

12/32 in simplest form

First both have the table of 4 in common

3/8

Then we cannot divide it further so this is the simplest form

Answer:

x^2-3x-y+16?

Step-by-step explanation:

simplest form already, but can be converted into a proper polynomial.

x^2-3x-y+16

Answer:

14 bags

Step-by-step explanation:

Dimension of lawn : 230 feet by 180 feet

area of rectangle is given by length * width

Since lawn is rectangular area of lawn = 230 feet * 180 feet = 41,400 sq. feet

Given that one bag of fertilizer covers 3000 square feet of lawn.

Thus , to find no. of bags required to cover whole lawn will be

total area of lawn/area which one bag of  fertilizer covers

no. of bags required to cover whole lawn = 41,400 sq. feet/3000 sq. feet

    = 13.8 bags.

As no. of bags cannot be fractional , hence rounding bag to nearest unit place is 14 bags.

Answer:

525

Step-by-step explanation:

multiply 1250 by the decimal form of the percentage (42% turns to .42)

Answer:

Step-by-step explanation:

You have to assume that the lines that look like they are parallel really are parallel, otherwise the question cannot be answered.

If that is the case, whatever angle 1 is, angle 16 will be the same.

<1 = 100 degrees

<16 = 100 degrees.

Follow the trail. <1 and <6 are equal          (Vertical Angles)

<6 = <11                           (Property of parallel lines.)

<11 = <16                         (Vertical angles)

<1 = <16                           Equals that are equal to to other equal angles are =

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Answer:

h=5

Step-by-step explanation:

I know how I got the answer, but I have no idea how to explain it. Sorry lol. It was basically trial and error.

A system of inequalities that can be used to model the scenario is d + a ≤ 300 and 10d ≥ 1,200.

A system of inequalities is two or more inequalities that must be proved simultaneously.

A system of inequalities contains at least two linear inequalities in the same variables.

Systems of inequalities are applied when there are a range of solutions and more than one constraint.

Inequalities may include greater than, less than, not equal to, equal to but less than, and equal to but greater than.

The total capacity of people the auditorium can hold = 300

The cost per ticket at the door = $10

The cost per ticket in advance = $7.50

Tickets cannot exceed 300

Door tickets must generate at least $1,200

Let the number of tickets sold at the door = d

Let the number of tickets sold in advance = a

10d + 7.5a ≤ 300

10d ≥ 1,200

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Answer:

1. 24 km/hour

2. 48 km

Step-by-step explanation:

1 mile = 1.6 km

cyclist = 15 miles/ hour

we want to multiply speed by something that will cancel miles out and leave km. to do this, we want to multiply it by something with miles on the bottom and km on the top.

this is because

miles * km / miles = km as the miles cancel out and km is left in the numerator

thus,

1 mile = 1.6 km

divide both sides by 1.6 km to get 1 on a side

1 mile / 1.6 km = 1

alternatively, divide both sides by 1 mile to get 1 on a side

1.6 km / 1 mile = 1

since we want miles on the bottom, we choose the second option

cyclist = 15 miles / hour = 15 miles/hour * 1 = 15 miles/hour * 1.6km / 1 mile = 24 km /hour

24 km/hr for 2 hours = 24 km/hr * 2 hours = 24 * 2 km = 48 km

Answer:

ANSWER

Step-by-step explanation:

Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.

If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).

For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.

Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.

The most appropriate reason for Christie making changes to her budget at the end of every month in terms of smart financial planning is B. She is reviewing her goals and aligning the budget to work toward them.Option B is correct.

Smart financial planning involves regularly evaluating and adjusting one's budget to ensure that it reflects their financial goals and current circumstances. By reviewing her goals, Christie can assess if her budget is still aligned with those goals and make any necessary changes to stay on track.

Life circumstances, such as changes in income, expenses, or financial priorities, may warrant adjustments to the budget. Christie recognizes that her needs may change over time, and by modifying her monthly budget, she can ensure that her financial resources are allocated appropriately to meet her evolving goals.

Regularly revisiting and modifying the budget allows Christie to adapt her financial plans, optimize her spending, and make informed decisions to achieve her financial objectives. Option B is correct.

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Answer:

184

Step-by-step explanation:

920 divided by 5 is 184 which makes it unit rate

Answer:

0.03

Step-by-step explanation:

Answer:

9.48

Step-by-step explanation:

Answer:

3√10 or about 9.49 units.

Step-by-step explanation:

To find the distance between any two points, we may use the distance formula given by:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Let (3, 5) be (x₁, y₁) and (12, 2) be (x₂. y₂). By substitution:

\(d=\sqrt{(12-3)^2+(2-5)^2\)

Evaluate:

\(d=\sqrt{(9^2)+(-3)^2\)

Square:

\(d=\sqrt{81+9}\)

Simplify:

\(d=\sqrt{90}=\sqrt{9\cdot10}=\sqrt{9}\cdot\sqrt{10}=3\sqrt{10}\approx9.49\)

The distance between (3, 5) an (12, 2) is 3√10 or about 9.49 units.

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

The simplified expression for ( x - y ) ( x - y ) ( x - y ) is x³ - x²y - xy² + y³.

To simplify ( x - y ) ( x - y ) ( x - y ), we can expand the expression using the distributive property of multiplication. We can also simplify the expression by combining like terms.

In using the distributive property of multiplication, we multiply each term in the first set of parentheses by each term in the second set of parentheses. This gives us:( x - y ) ( x - y ) ( x - y ) = ( x(x - y) - y(x - y) ) ( x - y )= ( x² - xy - xy + y² ) ( x - y )= ( x² - 2xy + y² ) ( x - y )

Now we can further simplify the expression by combining like terms. We can use the difference of squares formula to simplify the second set of parentheses.( x² - 2xy + y² ) ( x - y ) = ( x - y ) ( x - y )²= ( x - y ) ( x² - 2xy + y² )= x³ - x²y - 2xy² + xy² - xy² + y³= x³ - x²y - xy² + y³

Therefore, the simplified expression is x³ - x²y - xy² + y³.

Summary: To simplify ( x - y ) ( x - y ) ( x - y ), we expand the expression using the distributive property of multiplication. We simplify the expression by combining like terms. We use the difference of squares formula to simplify the second set of parentheses. Finally, we simplify the expression further by combining like terms. The simplified expression is x³ - x²y - xy² + y³.

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answer

a. 5,8

explanation

use numbers in each answer choice

+5 * -8 = - 40

+5 -8 = -3

Consider the form \(x^2+bx+c\). Find a pair of integers whose product is \(c\) and whose sum is \(b\). In this case, whose product is -40 and whose sum is -3.

\(\longrightarrow\boxed{\bold{(-8,5)}}\)

Write the factored form using these integers.

\((x-8) \ (x+5)\)