Which equation represents the graph below?

To write the complex number (5+√5)(6-√-10) in standard form, we simplify the expression by multiplying the terms and then combine the real and imaginary parts. The standard form of the complex number is 30 + 5√2.

To simplify the expression (5+√5)(6-√-10), we need to multiply the terms using the distributive property.

First, let's multiply the real parts:

5 * 6 = 30.

Next, we multiply the imaginary parts:

√5 * -√-10 = -√(5 * -10) = -√(-50) = -√(50)(-1) = -√(25 * 2)(-1) = -√25 * √2 * (-1) = -5√2.

Now, let's combine the real and imaginary parts to write the complex number in standard form:

(5+√5)(6-√-10) = 30 + 5√2.

Therefore, the complex number (5+√5)(6-√-10) can be written in standard form as 30 + 5√2. In standard form, the complex number is expressed as the sum of a real part and an imaginary part. The real part is 30, and the imaginary part is 5√2.

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Answer:

25.7 = 46.1

Step-by-step explanation:

This question doesn't make sense but if it's true or false it's false

Answer: True

Step-by-step explanation:

Answer:

Set the compass to a convenient width, and draw an arc that is centered at the vertex of the original angle and intersects both legs of the original angle.

Step-by-step explanation:

Edmentum. Enjoy.. Don't get too tired yall, I love you and so does Christ Jesus.

Answer: It would be between 7 and 8

Answer:

i think its rational

Step-by-step explanation:

Answer:

i said rational on ur other post bc i know its rational hope this helps

Step-by-step explanation:

The scale factor after one year of depreciation is 0.92.(option-c)

The depreciation rate of 8% per year means that the car loses 8% of its value each year. To find the scale factor, we need to determine how much of the original value remains after one year of depreciation.

If the car loses 8% of its value each year, then the remaining value after one year is:

100% - 8% = 92% of the original value

We can express this as a decimal by dividing 92% by 100%, which gives:

92%/100% = 0.92

This means that the value of the car is 0.92 times its original value after one year of depreciation.

We can also check our answer by calculating the value of the car after one year:

Value after one year = 0.92 * $15,000 = $13,800

This is the expected value of the car after one year of depreciation, which confirms that our scale factor of 0.92 is correct.

Therefore, the answer is (C) .

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Answer:

a) -11

b) 75

Step-by-step explanation:

a= -24-13=-11

b= 61-(-14)=75

For the function f(x) = -2x² + 12x - 4, we can find the outputs for specific inputs. When x = 3, the output is 14. When x = -4, the output is -84. When x = 0, the output is -4.

For finding the equation of a line passing through given points, the equation can be determined using the slope-intercept form, y = mx + b.

To determine the outputs of the function f(x) = -2x² + 12x - 4 for specific inputs, we substitute the given values of x into the function and calculate the corresponding outputs.

a) For x = 3: f(3) = -2(3)² + 12(3) - 4 = -18 + 36 - 4 = 14.

b) For x = -4: f(-4) = -2(-4)² + 12(-4) - 4 = -32 - 48 - 4 = -84.

c) For x = 0: f(0) = -2(0)² + 12(0) - 4 = 0 - 0 - 4 = -4.

Moving on to finding the equation of lines passing through given points:

7) The points given are (-5,2) and (5,4). We can calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1). Substituting the coordinates, we have m = (4 - 2) / (5 - (-5)) = 2 / 10 = 1/5. Using the slope-intercept form, y = mx + b, we can substitute one of the given points and the slope to solve for b. Let's use the point (5,4): 4 = (1/5)(5) + b. Simplifying, we find b = 4 - 1 = 3. Therefore, the equation of the line is y = (1/5)x + 3.

The points given are (-3,8) and (1,-4). Calculating the slope, m = (-4 - 8) / (1 - (-3)) = -12 / 4 = -3. Again, using the slope-intercept form, we substitute the point (1,-4) and the slope: -4 = (-3)(1) + b. Solving for b, we find b = -1. Hence, the equation of the line is y = -3x - 1.

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Step-by-step explanation:

I think it's TRUE but the equation is false.

Answer:

The answer is 51,338

Step-by-step explanation:

Given, the indicated variable is: ab - ac = 2, We have to solve the given equation for a. So the answer is a = 2/(b - c).

Let's do this: Factor out the a from the left-hand side of the equation.

Using the distributive property, we get: a(b - c) = 2

Now, we'll isolate a by dividing both sides by (b - c).

Thus, we get: a = 2/(b - c)

Therefore, the value of the variable a is 2 divided by the quantity of (b - c).

Let's have a look at the steps: ab - ac = 2

a(b - c) = 2

a = 2/(b - c). Hence, we have obtained the value of the variable a by solving the given equation.

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Answer:

hajskshsjakalskksks

Answer:

3x+1

Step-by-step explanation:

The algebraic expression is 3x+1

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is defined as an expression that is composed of variables, constants, and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here let the number be x and we multiply it by 3 and add 1 to the result then we get 3x+1

Hence, the algebraic expression is 3x+1

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(a) Evaluating the expression (9)°-2-1:(9)°-2-1 = (1/9)²-1 = (1/81) - 1 = -80/81. The solution for the given expression is -80/81. (b) Evaluating the expression 2-3 30 -2 (3):2-3 30 -2 (3) = 2-3 × 30-2 × 3= (1/8) × 1/900 × 3= 3/7200 = 1/2400.Therefore, the  expression is 1/2400.

The first expression to be evaluated is (9)°-2-1. We know that an exponent is a number that tells how many times the base is multiplied by itself. In this expression, 9 is the base and 2-1 is the exponent. So the expression can be rewritten as 9²-1. Squaring 9 gives us 81. And 1 is subtracted from 81 to get 80. Hence, 9°-2-1 is equal to -80/81.Now let's look at the second expression, 2-3 30 -2 (3). We need to use the order of operations, which is a set of rules for carrying out operations in a particular sequence. According to the order of operations, we need to first solve the exponents, then multiplication, and finally division. So the expression can be written as 2-3 × 30-2 × 3.Using the formula aⁿ × aᵐ = aⁿ⁺ᵐ, we can simplify this expression as 2-3 × 900-1. Since 900 is a square of 30, we can write 900 as 30². So the expression becomes 2-3 × 30²-1. Simplifying this further, we get 2-3 × 900-1 = 2-3 × 1/900 × 3. Using the formula aⁿ ÷ aᵐ = aⁿ⁻ᵐ, we can simplify this expression as 3/2⁹ × 3. The denominator 2⁹ can be written as 512. Hence, the expression can be simplified as 3/7200 = 1/2400.

To summarize, we have evaluated the two expressions (9)°-2-1 and 2-3 30 -2 (3). The final answers are -80/81 and 1/2400 respectively. We used the order of operations and exponent rules to simplify the expressions.

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Answer:

1

Step-by-step explanation:

Any number raised to the 0th power is 1, except for 0; 0 to the 0th power is undefined.

Answer:

[tex]\huge{\boxed{\sf{1}}}[/tex]

Step-by-step explanation:

Any number or variable raised to the 0 th power is equal to 1.

For example: If [tex]x^{0}[/tex] is an algebraic term, then [tex]x^{0}[/tex] =1. So, the value of the term having the index 0 is 1.

Hope I helped!

Best regards! :D

~TheAnimeGirl

The pair of equal trigonometric ratios among the given options is tan A and tan B.

To identify the pair of equal trigonometric ratios among the given options, we have to use the basic identities of trigonometry.

Basic identities of trigonometry:1. sin² θ + cos² θ = 1 (Pythagorean identity)2. tan θ = sin θ/cos θ3. cot θ = cos θ/sin θ4. sec θ = 1/cos θ5. cosec θ = 1/sin θ.

Now, let's check the given options,I. sin A and cos B: Not equal because sin is opposite/hypotenuse and cos is adjacent/hypotenuse in a right-angled triangle.II. tan A and tan B:

Equal because the tan is opposite/adjacent in a right-angled triangle. III. cosec A and sec B: Not equal because cosec is hypotenuse/opposite and sec is hypotenuse/adjacent in a right-angled triangle.

Therefore, the correct answer is (B) II only. Hence, the main answer is B. II only.

The pair of equal trigonometric ratios among the given options is tan A and tan B.

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Answer:

B.

Step-by-step explanation:

Basic Power Rule: f'(x) = n · xⁿ⁻¹

Step 1: Define

[tex]\frac{dy}{dx} [6x^{\frac{-2}{3} }][/tex]

Step 2: Use Basic Power Rule

[tex]f'(x)=6(\frac{-2}{3})x^{\frac{-2}{3} -1}[/tex]

[tex]f'(x)=-4x^{\frac{-5}{3}}[/tex]

Step 3: Simplify

[tex]f'(x)=\frac{-4}{x^{\frac{5}{3} }}[/tex]

[tex]f'(x)=\frac{-4}{\sqrt[3]{x^5} }[/tex]

Answer:

x - 4 + 88 = 108

x + 84 = 108

x = 24

The correct answer is a.

Answer:

40.9ft

Step-by-step explanation:

The perimeter is when you add all the sides together.

8 + 10 + 10 + 4 + 8.9 = 40.9ft

Answer:

Five days

Step-by-step explanation:

Because the skier has to pay $93 a day to ski (68 + 25),  in five days of daily pay, the skier would end up paying $465. However, if he paid for a season pass for $450, he would only have to ski for five days in order to make the season pass less expensive than the daily pass.

By creating a graph that shows the relationship between the number of carts and the space required, the store can better design the space for rows of nested shopping carts.

To design the space for rows of nested shopping carts in a store, a graph can be created that shows the relationship between the number of carts and the amount of space required.

This can be done by plotting the number of carts on the x-axis and the space required on the y-axis.The appropriate labels for each axis are "Number of Carts" for the x-axis and "Space Required" for the y-axis.

The scale for the x-axis would depend on the maximum number of carts that the store wants to accommodate, while the scale for the y-axis would depend on the amount of space that each cart takes up.

The movable points on the graph can be used to illustrate different scenarios.

For example, if the store wants to know how much space would be required for 50 carts, the movable point can be placed at 50 on the x-axis, and the corresponding space required can be read off the y-axis.

Similarly, if the store wants to know how many carts can be accommodated in a given amount of space, the movable point can be placed at the desired space on the y-axis, and the corresponding number of carts can be read off the x-axis.

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Answer:

864

Step-by-step explanation:

d/6=144

cross multiply

d=144×6

d=864

The transformation from h(x) that gives j(x) is 10 units translation down

The equation of the functions are given as

h(x) = -2cos(8x - π/4) + 5

j(x) = -2cos(8x-π/4) - 5​

From the above equations, we can see that only the constant term of the equations are different

This means that the function h(x) is translated vertically to get the function j(x)

So, we simply subtract j(x) from h(x) to calculate the unit of translation

This is represented as

Units = j(x) - h(x)

This gives

Units = -2cos(8x - π/4) - 5 + 2cos(8x-π/4) - 5​

Evaluate the like terms

Units = - 5 - 5​

Evaluate the sum

Units = -10

This means that the transformation is 10 units translation downwards

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Answer:

make the picture more clear its hard to see.

Step-by-step explanation:

Answer:

4.  y=-1x+1

5. y=-2x+27

Step-by-step explanation:

Answer: 2.5 lbs

Step-by-step explanation: Divide 40 by 16 to get the weight she needs.

Answer:

A

Step-by-step explanation:

Deshaun charges $40 per hour.

So if Deshaun and Silvio work for 5 hours, then it would be $40(5) which would be more expensive than Silvio's with $60 + 20(5). Silvio gets $60 with $20 per hour.

Deshaun would get $200 while Silvio would get $160.

The expected value of x is 750.5, rounded to 1 decimal place.

To calculate the expected value of x, we need to determine the probability distribution of x and then calculate the weighted average of x.

The probability of finding the golden ticket in the first seat cleaned is 1/1500, as there are 1500 seats and the ticket is equally likely to be in any of them.

Similarly, the probability of finding the ticket in the second seat cleaned is (1499/1500) * (1/1499) = 1/1500. The probability of finding the ticket in the third seat cleaned is (1499/1500) * (1498/1499) * (1/1498) = 1/1500, and so on.

From this pattern, we can observe that the probability of finding the ticket in the x-th seat cleaned is 1/1500.

Now, let's calculate the expected value of x:

E(x) = (1/1500) * 1 + (1/1500) * 2 + (1/1500) * 3 + ... + (1/1500) * 1500

E(x) = (1/1500) * (1 + 2 + 3 + ... + 1500)

E(x) = (1/1500) * [(1500 * 1501) / 2]

E(x) = (1501 / 2) = 750.5

Therefore, the expected value of x is 750.5, rounded to 1 decimal place.

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