Which of the following is a rational number?
8
91
JT
48
49

Answer:

its 24

Step-by-step explanation:

all the sides are equal.... btw dont download the link its a virus he is a bot

Answer:

x² + 6x + 9

Step-by-step explanation:

(x + 3)²

= (x + 3)(x + 3)

each term in the second factor is multiplied by each term in the first factor , that is

x(x + 3) + 3(x + 3) ← distribute parenthesis

= x² + 3x + 3x + 9 ← collect like terms

= x² + 6x + 9 ← in standard form

Answer:

The correct answer is B.) x + 8

Step-by-step explanation:

I just did the test on edge 2020 and got it right

Answer:

B: x + 8

Step-by-step explanation:

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer:

26 + 3 x 42 + 7 x -2 = 138

Step-by-step explanation:

Ok bud, first step we must convert our symbols (Makes it easier to solve)

26 + 3 x 42 + 7 x -2

* subsitutes for multiplication.

I recommend using PEMDAS at times:

1 - Parentheses

2 - Exponents and Roots

3 - Multiplication

4 - Division

5 - Addition

6 - Subtraction

Yet again your numbers were spaced out could they be exponents? if so:

3x^{42}+7x+24

Our answer would round to 24 but he equation was not put in a valid or straight forward way.

Answer:

Let x be the variable for a t-shirt for $8.

Let y be the variable for shorts for $12.

Let z be the variable for the hats that cost $10 each.

We have the expression 1 below:

$464 = $8x + $12y + $10z

other expressions:

3z = x

2z =y

By substitution we can solve each variable:

464 = 8(3z) + 12(2z) + 10z

464 = 24z +24z +10z

464 = 58z

z = 8

Solve for x andy:

3z=x

3*8 = 24=x

2z=y

2*8 = 16 = y

The t-shirts are 24 pieces, the shorts are 16 pieces and hats are 8 pieces.

Step-by-step explanation:

The energy is compared based on the information given below.

Energy released by burning 1 kilogram of element A = EA = 5.1 * (10)8

Energy released by fission of hydrogen in 1 kilogram of element B = EB = 1.3 * (10)10

Therefore,

Ratio = EB / EA = 1.3 * (10)10 / 5.1 * (10)8 = 25

Thus, the fission of 1 kg of element B releases 25 times as much energy as burning 1 kilogram of element A.

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The other part of the question:

Energy released by burning 1 kilogram of element A = 5.1 times 10 Superscript 8

Energy released by the fission of hydrogen in 1 kilogram of element B = 1.3 times 10 Superscript 10

On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.

BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.

\(f/3 +22 = 17\)

\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.  

Then simplify. The \(+22 and -22= 0\) They "cancel"   \(17-22 = -5\)

\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.

If we have to solve  f, the next step we to take is to multiply on the both sides by  3.

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x³ + 2x² + 49x² - 54 = 0 is the required polynomial equation of degree .

What does the word "polynomial" mean?

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable).

The given roots are let α = -2, β = 7i and  γ = - 7i

the leading coefficient is 1

The required polynomial is

x³ - ( α + β +  γ)x² + ( αβ + βγ + αγ )x - αβγ = 0

x³ - ( -2 + 7i - 7i )x² + (( -2.7i + 7i ( -7i) + ( -2 ( -7i ))x - (-2.7i. ( -7i)) = 0

x³ - ( -2)x²+ ( -14i - 49i² + 14i )x + 54i² = 0

  x³ + 2x² + 49x² - 54 = 0

is the required polynomial equation of degree .

We have used the polynomial equation whose are x^3-(sum of the roots)x^2+(sum of the product of the two roots)x-product of the roots =0

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The answer of the given question based on the cost of mailing is , the cost of mailing a 2.5-ounce letter to Vienna, Austria would be $6.63 (rounded to the nearest cent).

An equation is  mathematical statement that shows  two expressions are equal. It contains variables, constants, and mathematical operations like  addition, subtraction, multiplication, and division.

For example, a simple equation could be:

2x + 3 = 9

The equation y = 0.25x + 6.00 represents the cost y of mailing a letter to Vienna, Austria based on the weight x of the letter in ounces. The flat rate of $6.00 is represented by the constant term 6.00 in the equation, and the additional charge of $0.25 per ounce is represented by the coefficient of x, which is 0.25.

To use this equation to determine the cost of mailing a specific letter, you would need to know the weight of the letter in ounces. You could then substitute this value for x in the equation and solve for y, which would give you the cost of postage in dollars.

For example, if a letter weighs 2.5 ounces, you could plug in x = 2.5 into the equation:

y = 0.25(2.5) + 6.00

y = 0.625 + 6.00

y = 6.625

So the cost of mailing a 2.5-ounce letter to Vienna, Austria would be $6.63 (rounded to the nearest cent).

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Answer:

\(\frac{1}{10\sqrt{\frac{x}{5} -7} }.\)

Step-by-step explanation:

First of all, refer to the chain rule of derivation.

Chain rule says the following: \(\frac{d}{dx}(\sqrt{x+a} ) =\frac{d}{du}(\sqrt{u} )*\frac{d}{dx}(x+a)\), where \(u=x+a\).

Let's find the derivative.

Step 1. Write the expression.

\(\frac{d}{dx} (\sqrt{\frac{x}{5} -7} )\)

Step 2. Choose a value for u and rewrite the expression.

\(u=\frac{x}{5} -7\\ \\\frac{d}{du} (\sqrt{u} )*\frac{d}{dx} (\frac{x}{5} -7)\)

Step 3. Find the derivatives of each element.

a. For the u term.

\(\frac{d}{du} (\sqrt{u} )=\\ \\\frac{d}{du} (u^{\frac{1}{2} })=\\ \\ \frac{1}{2} u^{\frac{1}{2} -1}= \\ \\ \frac{1}{2} u^{-\frac{1}{2}}= \\ \\\frac{1}{2\sqrt{u} }= \\\\\frac{1}{2\sqrt{\frac{x}{5} -7} }\)

b. For the x term.

\(\frac{d}{dx} (\frac{x}{5}-7 )=\\ \\\frac{1}{5}-0=\\\\ \frac{1}{5}\)

Step 4. Multiply the term to finish applying the chain rule.

\(\frac{1}{2\sqrt{\frac{x}{5} -7} }*\frac{1}{5}= \\ \\\frac{1}{10\sqrt{\frac{x}{5} -7} }\)

Answer:

\(\dfrac{\text{d}y}{\text{d}x}= \dfrac{1}{10 \sqrt{\frac{x}{5}-7}}\)

Step-by-step explanation:

Given equation:

\(y=\sqrt{\dfrac{x}{5}-7}\)

To differentiate the given equation, use the chain rule.

\(\boxed{\begin{minipage}{5.4 cm}\underline{Chain Rule for Differentiation}\\\\If $y=f(u)$ and $u=g(x)$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}u}\times \dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let } \: y=\sqrt{u} \: \textsf{ where } \: u=\dfrac{x}{5}-7\)

Differentiate the two parts separately:

\(\begin{aligned}y & = \sqrt{u}\\y&=u^{\frac{1}{2}}\\\implies \dfrac{\text{d}y}{\text{d}u} & =\dfrac{1}{2} \cdot u^{\frac{1}{2}-1}\\& =\dfrac{1}{2}u^{-\frac{1}{2}}\\& = \dfrac{1}{2u^{\frac{1}{2}}}\\& = \dfrac{1}{2\sqrt{u}}\end{aligned}\)

\(\begin{aligned}u & = \dfrac{1}{5}x-7\\\implies \dfrac{\text{d}u}{\text{d}x} & = \dfrac{1}{5}\end{aligned}\)

Put everything back into the chain rule formula:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & =\dfrac{\text{d}y}{\text{d}u}\times \dfrac{\text{d}u}{\text{d}x}\\\\\implies \dfrac{\text{d}y}{\text{d}x} & = \dfrac{1}{2\sqrt{u}} \times \dfrac{1}{5}\\& = \dfrac{1}{10\sqrt{u}}\\& = \dfrac{1}{10 \sqrt{\frac{x}{5}-7}}\end{aligned}\)

Differentiation Rules

\(\boxed{\begin{minipage}{4.4cm}\underline{Differentiating $x^n$}\\\\If $y=x^n$, then $\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}$\\\end{minipage}}\)

\(\boxed{\begin{minipage}{4.4 cm}\underline{Differentiating $ax$}\\\\If $y=ax$, then $\dfrac{\text{d}y}{\text{d}x}=a$\\\end{minipage}}\)

\(\boxed{\begin{minipage}{4.4 cm}\underline{Differentiating a constant}\\\\If $y=a$, then $\dfrac{\text{d}y}{\text{d}x}=0$\\\end{minipage}}\)

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The value of variable θ would be,

⇒  θ = 5π/3 and θ = 4π/3

We have to given that;

Expression is,

⇒ - 10sin θ - 8 = 5√3 - 8

Now, We can simplify as;

⇒ - 10sin θ - 8 = 5√3 - 8

⇒ - 10sin θ = 5√3

⇒ sin θ = - 5√3/10

⇒ sin θ = - √3/2

We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).

However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.

Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.

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Step-by-step explanation:

\(f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10\)

The  number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.

Now the given ratio is 5 : 9 : 4.

and total amount of the coins is $206.

There are three types of coins in the bag, 50¢, 25¢ and 10¢.

Suppose x be the the ratio of coins in the bag.

Hence, number of  50¢ coins = 5x

number of  25¢ coins = 9x

number of  10¢ coins = 4x

Now, given total amount = $206

and since $1 = 100¢

⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206

Solving them,

⇒ 2.5x + 2.25x + 0.4x = 206

⇒ 5.15x = 206

⇒ x = 40

Therefore,

number of  50¢ coins = 5*40 = 200

number of  25¢ coins = 9*40 =  360

number of  10¢ coins = 4*40 =  160

Hence, number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

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The value of variable x is,

⇒ x = 42

We have to given that;

In a right triangle,

⇒ sin (x + 10)° = cos (4x - 4)°

Now, We can simplify as;

⇒ sin (x + 10)° = cos (4x - 4)°

⇒ cos (90 - (x + 10))° = cos (x - 4)°

⇒ 90 - (x + 10) = x - 4

⇒ 90 - x - 10 = x - 4

⇒ 80 + 4 = 2x

⇒ 2x = 84

⇒ x = 42

Thus, The value of variable x is,

⇒ x = 42

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Answer

2⁻⁴ = (1/16) = 0.0625

Explanation

When a variable is raised to the power of a negative number, this is the same as 1 over that variable raised to the positive value of that power.

So,

2⁻⁴ = (1/2⁴) = (1/16) = 0.0625

Hope this Helps!!!

Answer:

56.5175 cubic meters.

Explanation:

The volume of the rectangular solid can be found using the formula:

We are given that:

• Length of the room, l = 4.7 meters

• Width of the room, w = 3.7 meters

• Height of the room, h = 3.25 meters

Therefore:

The volume of the room is 56.5175 cubic meters.

The solution is, the value of the variables are x = 40 and, y = 160.

Notice that "x" and "3x+20" are supplementary angles so their sum is 180°

(x) + (3x + 20) = 180

4x + 20 = 180

4x = 160

x = 40

To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.

(x) + (y - 20) = 180°

40 + y - 20 = 180

y + 20 = 180

y = 160

Answer: x=40, y=160

The solution is, the value of the variables are x = 40 and, y = 160.

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complete question:

Find the value of each variable

Answer:bb

Step-by-step explanation:

The measure of each exterior angles of rectangle is 90°

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

A rectangle

A rectangle is a polygon with 4 sides

So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon

The exterior angles in a polygon are found by using:

Exterior of a rectangle in a polygon =  360°/Number of sides of the polygon

In this case,

The number of sides of the rectangle = 4

So, we have

Exterior of a rectangle =  360°/4

Evaluate

Exterior of a rectangle =  90°

Hence, the value of the measure of each exterior angles of rectangle is 90°

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Complete question

Find the measure of each exterior angles of rectangle?

Step by step​

To better understand the problem, let's make an illustration based on the information given.

Since F is the midpoint of segment EG, then the measure of EF is half the measure of EG.

From this, we can solve for x.

a. Multiply 1/2 by the terms inside the parenthesis.

b. Subtract 6x on both sides of the equation.

c. Add 2 on both sides of the equation.

d. Lastly, divide both sides of the equation by 3 to isolate the variable x.

Answer:

Therefore, the value of x is 3.

Answer:

Substitution property.

Step-by-step explanation:

You have to substitute n to get the answer therefore, substitution.

Answer

777

Step-by-step explanation:

jnimimimimimim000

Answer: 777

Hope this helps!!

Sorry if it's not correct!!

Answer:

  78

Step-by-step explanation:

The number of correct problems is found by multiplying the percentage that were correct by the total number of problems.

__

  number correct = fraction correct × number of problems

  number correct = 0.39 × 200 = 78

Serenity answered 78 problems correctly.

_____

Additional comment

The symbol % is fully equivalent to /100. That is 39% = 39/100 = 0.39 (pronounced "thirty-nine hundredths"). Using a percent symbol is just another way to write a fraction.