f(x) = x^2

g(x) = (x+3)^2 + 5

We can think of g as a translated (shifted) version of f.
Complete the description of the transformation.
Use nonnegative numbers.
right/left
by
units and to the
by
To get the function g, shift f
up/down blank units.

The dy for the given values of x and dx is dy = 0.5632, and their difference to the nearest thousandth is 0.0005.

The difference between dy and Δy can be determined by subtracting dy from Δy and taking the absolute value. In this case, dy approximates Δy to the nearest thousandth with a difference of 0.0005. This is a very small difference, indicating that dy is an accurate approximation for Δy.

The accuracy of dy can be attributed to the fact that the function f(x) = ln(1 + x^2) is a smooth function, meaning that the rate of change at a point (i.e., the derivative) is nearly constant. This allows dy to accurately approximate the change in y, Δy, over a small interval of x. Furthermore, the choice of dx = 0.2 is a small enough value that it does not significantly affect the accuracy of the approximation.

Learn more about Differential Equations here:

https://brainly.com/question/1164377

#SPJ4

Audrey and Billy are as far as 367 meters apart.

The displacement of an object is its distance covered or moved in a specific direction. Displacement is an example of vector quantity.

A vector quantity is generally any type of quantity which can be expressed in magnitude and direction. Some examples include: weight, displacement, acceleration, force, etc.

Since Audrey walked 285 meters west and Billy walked 213 meters south from the same starting location, then we can determined the distance far apart by applying the Pythagorean theorem.

So that,

/hyp/^2 = /opp/^2 + /adj/^2

Let their distance apart be represented by s,

s^2 = 231^2 + 285^2

      = 53561 + 81225

s  = (134586)^1/2

s = 366.86

Audrey and Billy are as far as 367 meters apart.

Learn more about displacement of an object at https://brainly.com/question/24588662

#SPJ1

A 45°-45°-90° triangle looks like Right Angle Triangle.

A 45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2.

45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2 . The measures of the sides are x, x, and x√2.

In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg, and the Opposite side to 45 = 1/√2 * Hypotenuse.

The 45-45-90 triangle has three unique properties that make it very special and unlike all the other triangles.

Hence, a 45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2.

To know more about the 45°-45°-90 rule:

https://brainly.com/question/15467050

#SPJ4

No, horizontal asymptote is not represented by y- axis it is represented by the x -axis.

Therefore, the horizontal asymptote is not represented by the y-axis, it is represented by the x-axis.

Learn more about horizontal asymptote here

brainly.com/question/4084552

#SPJ4

A triangular number succession is the representation of numbers as just an ordered set of equilateral triangles. The order of these numbers is 1, 3, and 6.

A triangular number is one that may be written as the sum of a initial n positive integers.

The first 3 triangular numbers are therefore 1, 3, and 6.

To know more about the triangular numbers, here

brainly.com/question/13968949

#SPJ4

Answer:

Depending of the figure that you are trying to find perimeter on, you just add up all the sides of that figure.

Answer:

The perimeter is the distance around a figure.

Step-by-step explanation:

For example, if I have a square where each side is 5 inches.  The perimeter would be 20 inches.  5 + 5+ 5 + 5, a square has four sides and each side length is 5 inches.

Answer:

[tex]h=\pm6[/tex]

Step-by-step explanation:

[tex]3h^4=3888\\h^4=1296\\h=\pm6[/tex]

Answer:

I don't know I am sorry bro

Answer:

4 prisms fit inside that one cube

Answer:

∠ B ≈ 53°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan B = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{4}{3}[/tex] , then

∠ B = [tex]tan^{-1}[/tex] ([tex]\frac{4}{3}[/tex] ) ≈ 53° ( to the nearest degree )

The behavior of the graph at the intervals are as follows

(0, 4} = increasing

(0, 2} = negative

{-2, 0) = decreasing

(-4, -1) = positive

The intervals represents some numbers and the numbers within the interval depends on the type bracket

(0, 4} = integer values from 1 2 3 4 at this interval the curve is going up hence increasing

(0, 2} =  integer values from 1 2 at this interval the curve is on the negative side

{-2, 0)  =  integer values from -2 -1  at this interval the curve is on the decreasing

(-4, -1) = integer values from  -3 -2 -1  at this interval the curve is on the on the positive side

Learn more about graphs at:

https://brainly.com/question/28066489

#SPJ1

Answer:

0

Step-by-step explanation:

The slope is 0 because there is no rise over run.

Answer:16,777,216

Step-by-step explanation:

The number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

Given that n and (2n + 9) are the seeds that Frank will plant in various gardens, the total number of seeds that Frank will plant can be represented algebraically by combining the two formulas.

Like terms with the same variables are added together.

Let the equation be n + 2n + 9

simplifying the above equation, we get

3n + 9

Therefore, the number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

To learn more about algebraic expressions refer to:

https://brainly.com/question/4344214

#SPJ1

The number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

Given that n and (2n + 9) are the seeds that Frank will plant in various gardens, the total number of seeds that Frank will plant can be represented algebraically by combining the two formulas.

Like terms with the same variables are added together.

Let the equation be n + 2n + 9

simplifying the above equation, we get

3n + 9

Therefore, the number of seeds that Frank will plant, expressed in algebraic form, exists 3n + 9.

To learn more about algebraic expressions refer to:

brainly.com/question/4344214

#SPJ1

Answer:

Step-by-step explanation:

Area of rectangle:

Answer:

284 ²/₃ square yards

Step-by-step explanation:

Area of a rectangle

Area = length × width

Given:

Substitute the given values into the formula and solve for area:

[tex]\begin{aligned}\sf Area & = \left(30+\dfrac{1}{2}\right) \times \left(9+\dfrac{1}{3}\right)\\\\ & = \dfrac{30 \times2+1}{2} \times \dfrac{9 \times 3+1}{3}\\\\ & = \dfrac{61}{2} \times \dfrac{28}{3}\\\\& = \dfrac{61 \times 28}{2 \times 3}\\\\ & = \dfrac{1708}{6}\\\\ & = \dfrac{1704+4}{6}\\\\ & = \dfrac{1704}{6}+\dfrac{4}{6}\\\\ & =284\: \frac{2}{3}\:\:\sf square\:yards\end{aligned}[/tex]

Therefore, the area covered by the tent is 284 ²/₃ square yards.

Answer:

b=-1

Step-by-step explanation:

you need to make sure that you can add 7 and have the answer be 4cm because, and if you subtract 4 from 7 you get 3 so the should add onto a -3 and the only way to turn the 3 into -3 is to multiply the 3 by -1

Answer:

=

Step-by-step explanation:

Equal too, you are finding the absolute value of both of them which means getting rid of any signs that is attached to them. 60 = 60

Answer:

|60| = |-60|

Step-by-step explanation:

| | means absolute value

The absolute value of any number is that number but in its positive form

So the absolute value of 60 is 60

The absolute value of -60 is positive 60

60 is equal to 60 therefore |60| = |-60|

Answer: ∠z=48°

Vertical angles are always congruent, and because 87 and z are adjacent angles, but equal 135, the equation would be 87+z=135. Subtract 87 on both sides to get z=48.

The set of ordered pairs represents the function.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

The set of ordered pairs:

(7,9), (4,18), (−3,11), (16,18), (4,−11)

Pairs written as input and output of the relation.

In the attached table,

To prove function:

A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function.

And here each input is connected to precisely one output.

Therefore, this is a function.

To learn more about the function;

brainly.com/question/28303908

#SPJ1

Answer:

Step-by-step explanation:

you need to draw a leaf plot

the first one is A  

the second one is D

none of the above - correct answer is root 133. there has to be a typo I think. if they force you to choose do C. -i give the props to the other guy who answerd this question

Answer:

[tex]x + 3x = 52 \\ 4x = 52 \\ x = 13 \\ y = 3x = 3 \times 13 = 39[/tex]

Answer:

1 = 26

2 = 154

3 = 26

4 = 26

5 = 154

6 = 154

7 = 26

Step-by-step explanation:

Answer:

1) (B) 25/18 ft³

2) (C) 1/216 ft³

Step-by-step explanation:

1) 1 2/3 x 5/6 x 1 = 5/3 x 5/6 x 1 = 25/18 ft³

2) 1/6 x 1/6 x 1/6 = 1/216 ft³

Answer: 1/4 pound (lb) is equal to 4 ounces (oz).

This is because there are 16 ounces in one pound, so you can divide a pound into 16 equal parts, and each part is one ounce. Similarly, you can divide a pound into 4 equal parts , and each part is 1/4 pound. So in order to convert 1/4 pound to ounces, you can multiply 1/4 by 16.

1/4 lb * 16 oz/lb = 4 oz

When converting units, you are essentially multiplying or dividing by a conversion factor. In this case, the conversion factor is 16 oz/lb which tells you that there are 16 ounces in one pound. This factor allows you to convert between pounds and ounces by multiplying or dividing by it.

It's important to pay attention to the units in the conversion factor when using them. Here, the numerator and denominator of the conversion factor have the same unit, but it's not always the case. And the conversion factor helps to cancel out the unwanted unit and yield the desired unit in the end.

Step-by-step explanation:

Answer:

He is not

In school B, the angle representing the sector of students that like tigers is 90 degrees while in school A, the angle representing the sector of students that like tigers is larger than 90 degrees. this is determined by perusing the images visually.

Step-by-step explanation:

Please find the complete question in the attached image

Pie chart is a graph used to represent numeric information. the sum of angles in a pie chart equals 360 degrees. the pie chart is usually separated into sectors to represent numeric information

the angle representing the students that like tigers in school A = 0.5 x (360 - 60) = 150 degree

The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The Pythagoras theorem formula is given as

H² = P² + B²

If the Pythagoras theorem is satisfied then the dimension is the dimension of the right triangle.

Let's check option D, then we have

17² = 8² + 15²

289 = 64 + 225

289 = 289

The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ1

Answer:

Option C

20, 21, 29 represents three sides of a right triangle

Step-by-step explanation:

By Using Pythagorean Triplet we can say that

20, 21, 29 represents three sides of a right triangle

(20)² + (21)² = (29)²

400 + 441 = 841

841 = 841

Thus, 20, 21, 29 represents three sides of a right triangle

-TheUnknownScientist