What is the domain of the function y = ^3/x ?

The mark up amount was first computed and then added to the cost of the comic book, the final amount after mark up is

$5.79

Given Data

Let us find 45% of 3.99

= 45/100*3.99

= 0.45*3.99

= 1.7955

The Mark up amount is $1.7955

Let us find the final price after mark up amount is added

=  1.7955+3.99

= $5.7855

Approx = $5.79

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Answer:

y=18(1.15)^x

Step-by-step explanation:

The general formula is

y=a(b)^x, where

a is the initial amount and

b is the growth (1+.15 in our case "an increase of 15%) or

            decay rate (1 -.15 would be if the problem have said it decreased ).

x is the amount of time

y is the amount of money

20.70 = 18 (1.15)^1

The equation is:

y= 18(1.15)^x

Answer:x= 2

Step-by-step explanation:

X+16/3= 3x

3(x+16/3)=3(3x) [in order to cancel out the divided by 3]

X+16=9x

16=8x

2=x

To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

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The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

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The dividend is represented by synthetic division is 2x³+10x²+x+5.

Synthetic division can be defined as a simplified way of dividing a polynomial with another polynomial equation of degree 1.

Here,

A vertical line and a horizontal line combine to make an L shape.

There are two rows of entries within the shape.

Row 1 has entries 2, 10, 1, 5.

Row 2 has entries blank, -10, 0, -5.

Entry -5 is on the outside to the left of the shape.

The entry represents the zero of the divisor.

This entry to the variable (assume the variable is x) is; 2x³+10x²+x+5.

Hence, the dividend is represented by synthetic division is 2x³+10x²+x+5.

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Answer:

2

Step-by-step explanation:

Answer: answer is. B

Step-by-step explanation:

Answer:

Assuming you are asking for the slope which is 3 or in the equation format y=3x

Step-by-step explanation:

you must find the distance in the y- values and the x values, how each value increases or decreases. You may have heard of the phrase rise/run. To get to the pint (2,6) from (1,3), you must rise 3 units and move 1 unit. If you were to follow the rise/run method, you will need to divide the two numbers. In this case you will be dividing 3/1 which equals you. Then you must plug that number into the formula (y=mx+b).

Answer:

We know that 9 = 30 + 9, so by the distributive property:

39(5) = (30 + 9)(5) = 30(5) + 9(5).

Multiply 30 × 5 and 9 × 5. Then add the products.

30(5) = 150, and 9(5) = 45, so

150 + 45 = 195 = 39(5).

The equation that represents this situation is p = 4 + 5d

Algebraic expressions are known as mathematical expressions made up of:

From the information given, we have that:

The equation this represents is:

p = 4 + 5d

Thus, the equation that represents this situation is p = 4 + 5d

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Answer:

a & c

Step-by-step explanation:

I think I’m sorry if I’m not correct

Answer:

m = 1/5

Step-by-step explanation:

rise = 1

run = 5

m = rise/sun = 1/5

Answer:

y

2

​

=−

2

z

​

+7

Steps for Solving Linear Equation

z=18−2×2−2y2

Multiply 2 and 2 to get 4.

z=18−4−2y

2

​

Subtract 4 from 18 to get 14.

z=14−2y

2

​

Swap sides so that all variable terms are on the left hand side.

14−2y

2

​

=z

Subtract 14 from both sides.

−2y

2

​

=z−14

Divide both sides by −2.

−2

−2y

2

​

​

=

−2

z−14

​

Dividing by −2 undoes the multiplication by −2.

y

2

​

=

−2

z−14

​

Divide z−14 by −2.

y

2

​

=−

2

z

​

+7

Step-by-step explanation:

the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.

we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.

Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.

the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.

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Answer:

bh

Step-by-step explanation:

Answer:

Answers are below

Step-by-step explanation:

Hour 0                 1 bacterium

Hour 1                  3 bacterium

Hour 2                 9 bacterium

Hour 3               27 bacterium

Hour 4                81 bacterium

Hour 5            243 bacterium

Hour 6            729 bacterium

After 24 hours, the number of the bacterium will reach 282,429,536,481.

B)  This table represents exponential growth because of the number of bacterium always being multiplied by 3.

C)  The reason that any number to the zero power is one is that any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

D)  Y = 1 + 3 to the power of x

E)  The rule would change by having all of the numbers multiplied by 100 since there is 100 bacterium at Hour 0.

The derivatives of the following functions are

1. Derivative of the f(x) = log8(x) is f'(x) = (1 / x) * (1 / ln(8)).

2. Derivative of the h(x) = log5(x + 9) is h'(x) = (1 / (x + 9)) * (1 / ln(5)).

3. Derivative of the h(x) = e^x^8 − x + 3 is h'(x) = e^(x^8 - x + 3) * (8x^7 - 1).

4. Derivative of the g(x) = 2^x is g'(x) = 2^x * ln(2).

1. For the function f(x) = log8(x), find its derivative:
To find the derivative of f(x) with respect to x, we can use the change of base formula for logarithms and the chain rule:
f(x) = log8(x) = ln(x) / ln(8)
f'(x) = (1 / x) * (1 / ln(8))

2. For the function h(x) = log5(x + 9), find its derivative:
Similar to the previous function, use the change of base formula and the chain rule:
h(x) = log5(x + 9) = ln(x + 9) / ln(5)
h'(x) = (1 / (x + 9)) * (1 / ln(5))

3. For the function h(x) = e^(x^8 − x + 3), find its derivative:
Apply the chain rule:
h'(x) = e^(x^8 - x + 3) * (8x^7 - 1)

4. For the function g(x) = 2^x, find its derivative:
Use the exponential rule and the chain rule:
g'(x) = 2^x * ln(2)

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The perimeter of the polygon is  22 units.

What is the area of the polygon?

The area of a polygon is defined as the area enclosed by the polygon's boundary. In other words, the region occupied by any polygon determines its area. In this lesson, we will learn how to calculate polygon area and the difference between polygon perimeter and area in detail.

we know that

the perimeter of a polygon is the sum of the length sides

in this problem, we have five vertices

so the polygon has five sides

Let,

A(-1, 3)

B(−1, 6)

C(2, 10)

D(5, 6)

E(5, 3).

the perimeter is equal to

P = AB + BC + CD + DE + AE

The formula to calculate the distance between two points is equal to

d = √(y₂ - y₁)² + (x₂ - x₁)²

The distance of AB:

A(-1, 3)

B(−1, 6)

d = √(6 - 3)² + (-1 - (-1))²

d = √(3)² + (0)²

d = 3

The distance of BC:

B(−1, 6)

C(2, 10)

d = √(10 - 6)² + (2 - (-1))²

d = √(4)² + (3)²

d = 5

The distance of CD:

C(2, 10)

D(5, 6)

d = √(6 - 10)² + (5 - 2)²

d = 5

The distance of DE:

D(5, 6)

E(5, 3).

d = √(3 - 6)² + (5 - 5)²

d = 3

The distance of AE:

A(-1, 3)

E(5, 3)

d = √(3 - 3)² + (5 - (-1))²

d = 6

Find the perimeter

the perimeter is equal to

P = AB + BC + CD + DE + AE

P = 3+5+5+3+6

P = 22 units.

Hence, the perimeter of the polygon is  22 units.

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Answer:

x > -13

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Translate

"a number x" = s

"more than" is >

"-13" = -13

Step 2: Combine

x > -13

And we have our final answer!

Answer:

A. x = 3, y = 2

Step-by-step explanation:

The hypotenuse and the length of one leg of one right triangle must be equal to the hypotenuse and corresponding length of the one leg of the other ∆ for both triangles to be equal by the HL Congruence Theorem.

Thus, let's find x and y by setting the corresponding lengths of the two right ∆s equal to each other.

Therefore:

x = y + 1 ----› eqn. 1

2x + 3 = 3y + 3 ----› eqn. 2

Substitute x = (y + 1) into eqn. 2, and solve for y.

2x + 3 = 3y + 3 ----› eqn. 2

2(y + 1) + 3 = 3y + 3

2y + 2 + 3 = 3y + 3

2y + 5 = 3y + 3

Collect like terms

2y - 3y = -5 + 3

-y = -2

Divide both sides by -1

y = 2

Substitute y = 2 into eqn. 1.

x = y + 1 ----› eqn. 1

x = 2 + 1

x = 3

Answer:

It will make 4 90° turns, because each 1/4 turn or 15 minutes is 90°.

Expanded form of the expression - 1/3 (y - x) is,

⇒ - 1/3y + 1/3x

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

We have to given that;

The expression is,

⇒ - 1/3 (y - x)

Now, We can expand the expression as;

⇒ - 1/3 (y - x)

⇒ - 1/3 × y - 1/3 × - x

⇒ - 1/3y + 1/3x

Thus, Expanded form of the expression - 1/3 (y - x) is,

⇒ - 1/3y + 1/3x

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Answer:

2(6a − 3) = (6a − 3) ⋅ 2

Step-by-step explanation:

here it is

Commutative means 'you can swap them'. I.e., a+b = b+a, addition is commutative. Subtraction is not.

The first answer: 2(6a − 3) = (6a − 3) ⋅ 2  is an example where 2 and (6a-3) are the factors that can be swapped, because multiplication is commutative.

Answer:

∠ 6 = 62°

Step-by-step explanation:

∠ 6 and ∠ 8 are corresponding angles and are congruent , so

∠ 6 = ∠ 8 = 62°

Answer:

6(4f - 5g)

Step-by-step explanation:

4f × 6 - 6g × 5 = 24f - 6g × 5

24f - 30g → 6 (4f - 5g)

Hope this helped! :)

Answer:

f(6)−6*g(5)= 6f - 30g

Step-by-step explanation:

Hope this helped you!

Answer:

The new value of the list after changing 71° to 93° would be:

58, 61, 93, 77, 91, 100, 105, 102, 95, 82, 66, 57

The measure that changes the most would be the median. Without the change, the median was 86.5°, which was the average of the 7th and 8th values in the list (100 + 77) / 2. However, after changing 71° to 93°, the median becomes 91°, which is the average of the 6th and 7th values in the list (91 + 91) / 2.

Therefore, the median has changed by 4.5° (from 86.5° to 91°).

Answer: 1/2x-5

Step-by-step explanation:

Whats up.

1. Let x be the number
2. divide x by two, because one half of a number

3. subtract 5 from it because you decrease it by 5

4. you get 1/2x-5

Answer:

81

Step-by-step explanation:

\( \sqrt{x} + 3 = 12 \\ \\ \sqrt{x} = 12 - 3 \\ \\ \sqrt{x} = 9 \\ \\ {( \sqrt{x} )}^{2} = {(9)}^{2} \\ \\ x = 81\)

81 is the  solution to the equation √x+3=12

Two or more expressions with an Equal sign is called as Equation.

The given equation is √x+3=12

Square root of x plus three equal to twelve

√x+3=12

Subtract three from both sides

√x+3-3=12-3

√x=9

Square on both sides

√x²=9²

The root and square will gets cancelled

x=81

Hence, 81 is the  solution to the equation √x+3=12

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The potential difference between xi = 10 cm and xf = 30 cm in the uniform electric field ex = 2000 v/m can be calculated using the formula: ΔV = Ex * Δx.  Therefore, the potential difference between the two points is 400 volts.

To find the potential difference between two points in a uniform electric field, we can use the formula:

Potential difference (V) = Electric field (E) × Distance (d)

In this case, the electric field (E) is given as 2000 V/m (ex = 2000 V/m). The distance (d) between the two points, xi = 10 cm and xf = 30 cm, is the difference between xf and xi, which is:

d = xf - xi = 30 cm - 10 cm = 20 cm

Now, convert the distance to meters:

d = 20 cm × (1 m / 100 cm) = 0.2 m

Now, we can find the potential difference (V):

V = E × d = 2000 V/m × 0.2 m = 400 V

So, the potential difference between xi = 10 cm and xf = 30 cm in the uniform electric field ex = 2000 V/m is 400 V.

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Answer:

A

Step-by-step explanation:

the total is 25.92 and Elaina buys 2.57 eggs. So, you would have to first subtract 2.57 from 25.92 . Then she buys 5 bags of potatoes for x price.

This means that 23.35 (25.92-2.57) will have to be divided by 5 to get the price of 1 bag of potatoes.

x= 4.67

Answer:

(=3+2) .

Step-by-step explanation:

The degree of a monomial is the sum of the exponents of all its variables. Example 1: The degree of the monomial 7y3z2 is 5(=3+2) .