2. Find the solution set to this inequality:2. - 52-3 >2O x< 1/2O x>1/2O x<= 1/2O x >= 1/2

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

The company's EBIT is $1,065.84.

EBIT, fully known as earnings before interest and taxes is a company's net income before income tax expense and interest expenses are deducted. It is used to analyse performance of core operations without the costs of the capital structure and tax expenses impacting profit.

The net income equals to:

= $80 + $432

= $512

EBT = 432 * (1 - 21%)

EBT = 432 / 0.79

EBT = $546.84

EBIT = $546.84 + $519

EBIT = $1065.84

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Answer:

5.4 lbs

Step-by-step explanation:

5.94 / 1.10 = 5.4

hope this helps! <3

Answer:

25 students

Step-by-step explanation:

.8x = 20

 x = 25 students

Answer:

= 130.435% difference

Answer:

8(3x+2)=24x+16.

Step-by-step explanation:

there

Answer:

24x+16

Step-by-step explanation:

Answer:

0.325

Step-by-step explanation:

Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport

Given

Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325

Answer:

X

Step-by-step explanation:

Answer: one senior ticket is $8 and one student ticket is $14

Hope this helps a little

\((cos \: y \: sin \: 2x)dx + ( {cos}^{2} y - {cos}^{2} x)dy = 0\)

It is of the form:-

M(x,y)dx+N(x,y)dy=0

So here,

\(M = (cos \: y \: sin \: 2x),N = ( {cos}^{2} y - {cos}^{2} - x)\)

\( \therefore{ \displaystyle{ \frac{ {\partial}M}{ {\partial}y} = - sin \: y \: sin \: 2x}}\)

\(N = {cos}^{2} y - {cos}^{2} x \implies \displaystyle{ \frac{{ \partial}N}{ \partial x} }\)

\( = - 2( - sin(x)cos(x)) = sin(2x)\)

So,

\( \large{ \frac{ \frac{ \partial M}{ \partial y} - \frac{ \partial N}{ \partial x} }{M} }\)

\( = \frac{ - sin \: y \: sin \: 2x}{cos \: y \: sin \: 2x} \)

\( = - \frac{ sin \: 2x(1 + sin \: y)}{cos \: y \: sin \: 2x} \)

\( = - (sec \: y \: + \: tan \: y) = - g(y)\)

\(I.F. = {e}^{ -\int g(y)dy} \)

\( = {e}^{ \int (sec \: y \: + tan \: y)dy} \)

\( = {e}^{ ln(sec \: y \: + tan \: y) + ln(sec \: y) } \)

Now,

\(cos \: y \: sin \: 2x \: sec \: y \: (sec \: y \: + tan \: y)dx + (co {s}^{2}y - {cos}^{2} x)sec \: y \: (sec \: y \: + tan \: y)dy = 0\)

\( = sin \: 2x(sec \: y \: + tan \: y)dx + (co {s}^{2} x)( {sec}^{2} y + sec \: y \: tan \: y)dy = 0\)

\( = sin \: 2x(sec \: y + tan \: y)dx + (1 - {sec}^{2} y \: {cos}^{2} x + sin \: y \: - {cos}^{2} x \: sec \: y \: tan \: y)dy = 0\)

So,the solution now is,

\( \displaystyle{\int_{(y \: const)}Mdx + \int(terms \: of \: \: N \: not \: containing \: x)dy = C}\)

\( \int \: sin \: 2x(sec \: y \: + tan \: y)dx + \int (1 + sin \: y)dy = C\)

\( - \frac{1}{2} cos \: 2x(sec \: y \: + tan \: y) + y = c - cos \: y\)

Answer:

C) 6

Step-by-step explanation:

Answer:

g(x)=x-2/x^2-9

If there is more than one value, separate them with commas.

Step-by-step explanation:

Answer:

7/10 or 0.7

Step-by-step explanation:

-3/2 (1/3 - 4/5)

(-3/2) (1/3 + -4/5)

(-3/2)(1/3) + (-3/2)(-4/5)

-1/2 + 6/5

7/10

I think this PDF should assist you in the property of operations for fractions and also help you in solving future problems.

Answer:

You included no options so I will list some of the various fractions and decimal that are equivalent to the fraction of days it was cloudy in April.

In fraction form, the value can be simplified to;

In decimal form, the value would be;

= 12 ÷ 30

= 0.4

The addition of the given fraction expression is 7/8.

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.

When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.

In this case, both fractions have a denominator of 8, so we can add their numerators:

5/8 + 2/8 = (5 + 2)/8 = 7/8

Thus, the sum of 5/8 and 2/8 is 7/8.

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In order to determine f(-3), we just need to use the value of x = -3 in the equation of f(x) and determine its value.

So we have:

So the value of f(-3) is 1.

Answer:

Change the minus sign to a plus. 2. ... 24. = 8. 11. 24. Find each quotient. 1. 1. 3. 1. 6. 2. 5. 8. 1. 16. 2. 1. 3 x. 6. 1 = 6 ... Write a variable expression to represent the word phrase.

The correct expression for the given condition is,

⇒ (16 ÷ 8) + 24

An expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.

We have to given that;

The algebraic expression is,

''add 24 to the quotient of 16 and 8.''

Now, We can write the expression as;

Quotient of 16 and 8 is,

⇒ 16 ÷ 8

And, Add 24 to the quotient of 16 and 8.

⇒ (16 ÷ 8) + 24

Thus, The correct expression for the given condition is,

⇒ (16 ÷ 8) + 24

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Answer: $1,184,537.217

Step-by-step explanation:

You just multiply the number by 1.22 every year.

For example: year 1 (60,000 * 1.22)= 73,200

Year 2: (73,200 *1.22) =89,304

and so on until year 15 is reached.

The element of A n B is { 7, 8}

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.

For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.

The sign 'n' means intersection and this means what is common to two or more set.

If set A = { 1,2,5,7,8}

set B = { 6,7,8,9}

then we can see that 7 and 8 are common to both sides, then

A n B = { 7,8}

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Answer:

The third option

Step-by-step explanation:

Answer:

there isn't a slope, if you're talking about

(2,-4) and (2,6), since

using the vertical line test.....

it's not even a function

so it doesn't have a slope

Step-by-step explanation:

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

A(n) =50 - 3(n-1)

Therefore, when is 15, then we will have this,

A(15) = 50 - 3(15-1)

A(15) = 50 - 3(14)

A(15)= 50 - 42

A(15) = 8.

Therefore, the 15th term is 8.

Answer:

Angle 5

Step-by-step explanation:

Answer:

i feel like the answer is d srry if im wrong

Step-by-step explanation:

There are  0.09779 grams in 7.4 x 10^19 Atoms of copper.

The number of grams in a given number of atoms of an element, we need to use the concept of molar mass and Avogadro's number.

The molar mass of an element represents the mass of one mole of that element. For copper (Cu), the molar mass is approximately 63.546 grams per mole.

Avogadro's number, denoted as N_A, is the number of atoms or molecules in one mole of a substance. It is approximately 6.022 x 10^23 atoms/molecules per mole.

To calculate the mass of a given number of atoms, we can use the following steps:

Step 1: Determine the number of moles of copper atoms.

Given: 7.4 x 10^19 atoms of copper

Number of moles = (Number of atoms) / (Avogadro's number)

Number of moles = (7.4 x 10^19) / (6.022 x 10^23)

Step 2: Calculate the mass using the molar mass of copper.

Mass = (Number of moles) x (Molar mass)

Mass = (7.4 x 10^19) / (6.022 x 10^23) x 63.546

Now, we can perform the calculations:

Mass ≈ 0.09779 grams

Therefore, there are approximately 0.09779 grams in 7.4 x 10^19 atoms of copper.

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It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

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Answer:

180m

Step-by-step explanation:

The figure shown in the picture is a right triangle.

We have two of it's sides and need to find the hypotenuse (the side in front of the right angle).

To find that we must use the Pythagorean theorem:

\(c^{2} = {a}^{2} + {b}^{2} \)

Side a is 400m and side b is 300m.

Therefore:

\(c^{2} = {300}^{2} + {400}^{2} \)

\(c = \sqrt{300 \times 300 + 400 \times 400} = 500\)

Now that we know that side c is 500m we must just substract the distance between Marla and the dock with the lenght of the side to find the answer

500 - 320 = 180m

Answer:

She is 180m from the information Center

She walked 240m from the parking lot to the lake.

Step-by-step explanation:

I searched your question and found the key answers. below is my backup explanation, hope this helps! brainliest, please!