wat is the sum of 13.75 and -11.25

Answer:

Step-by-step explanation:

have a nice day/night !

Answer: all of them

Step-by-step explanation:

The value of \(x_5\), rounded to the nearest decimal place using Newton's method of approximation is 1.466.

The correct answer is option B.

To find the value of \(x_5\)using Newton's method of approximation, we need to iterate the following formula:

\(x_(_n_+_1_) = x_n - f(x_n) / f'(x_n)\)

where f'(x) represents the derivative of the function f(x). Let's calculate the values step by step.

Given function: f(x) = \(x^3 - x^2 - 1\)

Step 1: Find the derivative of f(x)

f'(x) = \(3x^2 - 2x\)

Step 2: Initialize the starting value

\(x_0\)= 1

Step 3: Calculate \(x_1\)

\(f(x_0) = f(1) = (1^3) - (1^2) - 1 = 1 - 1 - 1 = -1\)

\(f'(x_0) = f'(1) = (3(1^2)) - (2(1)) = 3 - 2 = 1\)

\(x_1 = x_0 - f(x_0) / f'(x_0)\)

   = 1 - (-1) / 1

   = 2

Step 4: Calculate \(x_2\)

\(f(x_1) = f(2) = (2^3) - (2^2) - 1 = 8 - 4 - 1 = 3\)

\(f'(x_1) = f'(2) = (3(2^2)) - (2(2)) = 12 - 4 = 8\)

\(x_2 = x_1 - f(x_1) / f'(x_1)\)

   = 2 - 3 / 8

   = 1.625

Step 5: Repeat the process until we reach \(x_5\)

Performing the calculations for \(x_3, x_4, andx_5\), we find:

\(x_3\) ≈ 1.465

\(x_4\) ≈ 1.466

\(x_5\)≈ 1.466

After applying Newton's method of approximation to the function f(x) = \(x^3 - x^2 - 1,\)starting with,\(x_0 = 1,\) we iteratively calculated the values of \(x_1, x_2, x_3, x_4, and x_5\). The final approximation, \(x_5\), is approximately 1.466 when rounded to the nearest decimal place. This aligns with option B as the correct answer.

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Given:

The given function is :

Now the graph is shifted 92 units upward, then the graph is transformed to

Now again the graph is shifted 7 units to the right, then the graph is transformed to:

Hence, the new function is:

Congruent triangles do not conform to the side lengths given. The values of v and w that would cause the triangles to be congruent cannot be determined without more details about the triangles. 20 and 5 are the values of v and w which make △XYZ≅△FED

Congruent refers to having the same size and shape. Hence, comparing two figures is what congruent means, and comparing two phrases that are equivalent. Hence, to state that two separate segments are congruent means that the two lines' measurements are equivalent.

We can set the two triangles' respective side lengths equal to one another and find v and w if we are aware of their corresponding side lengths.

If we are aware that XY Equals FE, YZ = ED, & ZX = DF, for instance, we can construct the following equations:

XZ + ZY ≈ FD + DE XY = FE XZ + ZY

v plus w = 20 - v plus 5

When we simplify this third equation, we obtain:

2v plus w = 15

A first two equations can now be used to replace XZ, ZY, FD, & DE in terms of v & w:

FD = 5 - w DE = w XZ = v ZY Equals 20 – v - w

By simplifying this second equation and substituting these numbers, we obtain:

v + 20 – v - w = 5 - w + w

20 = 5

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Answer:

The question has some missing details such as ; Use cylindrical shells to find the volume of the remaining solid if the remaining solid is 8cm high. I have however solved it using the value of 8cm, you can use the same approach to solve for the volume irrespective of the value of the height you are given.

Step-by-step explanation:

The detailed step by step analysis and appropriate Integration by susbtitution in order to get the volume of the remaining solid is as shown in the attached file.

Answer:

126

Step-by-step explanation:

\(V = A * h = \frac{1}{4} * \pi * d^{2} * h = A * h = \frac{1}{4} * 3.14 * 36 * 5 = 141.3\\ \\V_{empty} = A * h = \frac{1}{4} * \pi * d^{2} * h = \frac{1}{4} * \pi * 4 * 5 = 15.7\)

\(V_{full} = V - V_{empty} = 141.3 - 15.7 = 125.6 \approx 126\)

Answer:  b) two sides and the included angle are congruent

Step-by-step explanation:

  RS = QS                 SIDES are congruent

∠PSR ≡ ∠PSQ         ANGLES are congruent

 PS = PS                  SIDES are congruent

ΔPSR ≡ ΔPSQ by the Side-Angle-Side (SAS) Congruency Theorem

Since we know the triangles are congruent, we can state that their parts are congruent:

Congruent-Parts of-Congruent-Triangles are-Congruent (CPCTC)

Answer:

thanks for the points girly!

Step-by-step explanation:

Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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The surface area of an ice cube with 4 cm sides is 96 square centimeters.

It is a measurement of the sum of all the areas of the faces, sides, and any other surfaces of an object. For example, a cube has six square faces, each with the same area.

To find the surface area of an ice cube with 4 cm sides, we need to add up the areas of all six faces. Each face is a square with side length 4 cm, so the area of each face is:

Area of one face = (side length)² = 4 cm × 4 cm = 16 cm²

Since there are six faces on a cube, the total surface area of the ice cube is:

Total surface area = 6 × (area of one face) = 6 × 16 cm² = 96 cm²

Therefore, the surface area of an ice cube with 4 cm sides is 96 square centimeters.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

OK so he gets 3000 a year

so 3000t is what we need. thats 3000 times the number of years.

His starting salary is 41250, so we would add that on.  

K = 3000t + 41250.

Step-by-step explanation:

Answer:

4.7 x 10^5, 5.2 x 10^5, 3.9 x 10^8

Step-by-step explanation:

Since exponential growth far outclasses linear growth, it's safe to say that 3.9 x 10^8 is the greatest. Both of the other two share their second term, and thus their size is determined by the first term, so:

4.7 x 10^5 is the least
5.2 x 10^5 is the second largest
3.9 x 10^8 is the largest

Answer:

4.7 * 10^5 < 5.2 * 10^5 < 3.9 * 10^8

Check the picture below.

Hello there!

We are given the function:

\( \displaystyle \large{ f(x) = | - 2x| - 3} \\ \)

To find the range, we know that domain is the set of all x-values and also called 'input' while range is the set of all y-values and also called 'output'.

Basic Function - you add the input, you get the output. You add x-value in a function, you get y-value. You add domain, you get range.

So, we substitute x = 1,2 and 3 in the function.

x = 1

\( \displaystyle \large{ f(1) = | - 2(1)| - 3} \\ \displaystyle \large{ f(1) = | - 2| - 3} \\ \)

Recall that any numbers in absolute value are always positive.

\( \displaystyle \large{ f(1) = 2 - 3} \\ \displaystyle \large{ f(1) = - 1} \\ \)

x = 2

\( \displaystyle \large{ f(2) = | - 2(2)| - 3} \\ \displaystyle \large{ f(2) = | - 4 | - 3} \\ \displaystyle \large{ f(2) = 4 - 3} \\ \displaystyle \large{ f(2) = 1}\)

x = 3

\( \displaystyle \large{ f(3) = | - 2(3)| - 3} \\ \displaystyle \large{ f(3) = | - 6| - 3} \\ \displaystyle \large{ f(3) = 6 - 3} \\ \displaystyle \large{ f(3) = 3}\)

Therefore, Range: {-1,1,3}

Let me know if you have any questions!

Topic: Absolute Value Function / Modulus Function

Answer:

  x = 7

Step-by-step explanation:

First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).

If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.

I like to start by subtracting the variable term with the smallest coefficient. Here, that is 3x, so we add -3x to both sides of the equation.

  3x -3x +1 = 5x -3x -13

  1 = 2x -13 . . . . . . . . . . . . combine like terms

Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:

  1 +13 = 2x -13 +13

  14 = 2x . . . . . . . . . . . . combine like terms

Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.

  (1/2)(14) = (1/2)(2x)

  7 = x . . . . the solution

__

It is generally a good idea to check your work by seeing if your solution value satisfies the equation:

  3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation

  21 +1 = 35 -13

  22 = 22 . . . . . . x = 7 is the solution

_____

Additional comment

By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...

  -2x +1 = -13

Subtracting 1 would give

  -2x = -14

and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.

After answering the given query, we can state that As a result, the equation  clock's hour hand rotates 180 degrees from 1 to 7 o'clock.

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of the two equations is known as an equation in algebra. For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between two phrases that . on opposite sides of a letter. Frequently, the logo along with the particular program are identical. as in 2x - 4 = 2, for example.

From 1 o'clock to 7 o'clock, the hour indicator of a clock advances through 6-hour intervals.

The following formulas provide the overall number of degrees that the hour hand rotates:

(30 degrees/hour) x 6 hours equals 180 degrees

As a result, the clock's hour hand rotates 180 degrees from 1 to 7 o'clock.

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Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Answer:

288 m^3

Step-by-step explanation:

V=(1/3)Bh, where B is base, and h is height

The base will use the equation A=(1/2)bh

B = (1/2)12x9

B = 54

the height is given: 16m

substitute into Volume equation:

V=(1/3)54x16

V=288

Answer:

i think ur right but i dont know for sure i did the math and got that

Step-by-step explanation:

Answer:

K=6

Step-by-step explanation:

I hope this answer is right

Answer:

  4

Step-by-step explanation:

You want the sum of digits of the largest number that divides 1305, 4665, and 6905 with the same remainder.

We can look at 4665/1305 ≈ 3.57 and 6905/1305 ≈ 5.29 for a clue as to the divisor of interest. These quotients tell us that one possibility is the value that would give quotients of 4 and 6 after the remainder is subtracted from each of the numbers.

For 1305 and 4665, if r is the remainder, we require ...

  4(1305 -r) = 4665 -r

  5220 -4665 = 4r -r

  555/3 = r = 185

If 185 is the remainder in this scenario, then 1305 -185 = 1120 is the divisor. Checking the remainder with 6905, we find ...

  6905/1120 = 6 r 185

The sum of digits of this divisor is 1 + 1 + 2 + 0 = 4.

The sum of the digits in N is 4.

Answer:

30 and 0 is an easy answer

Step-by-step explanation:

30 times 0 equals 0

0 is 30 less than 30

Answer:

-2s - 9 + 7 - 5r

Step-by-step explanation:

Add -9 and -7.

-2s - 2 - 5r

Move -2.

-2s - 5r - 2

Reorder -2s and -5r.

-5r - 2s - 2

I hope this helps.

if you could, feel free to mark me Brainliest it would be much appreciated :D

Answer:

3x^2-3x-6=3(x^2-x-2)=3(x-2)(x+1)

x=2/x=-1

Step-by-step explanation:

The length of the side AB in triangle ΔABC is 12 centimeters

The length of a line or segment is the distance between the endpoints.

The location at which the perpendicular bisector of segment \(\overline{AB}\) in ΔABC intersects the side \(\overline{BC}\) = Point D

The perimeter of ΔABC = 12 + The perimeter of ΔACD

Please find attached, the possible drawing of the figure in the question;

ΔADE is congruent to ΔBDE by Side-Angle-Side congruency postulate

\(\overline{AD}\) is congruent to \(\overline{DB}\) by Corresponding Parts of Congruent Triangles are Congruent.

The perimeter of ΔABC = AB + BC + AC

Perimeter of triangle ΔACD = AC + CD + AD

BC = CD + DB

The perimeter of ΔABC = AB + CD + DB + AC = 12 + AC + CD + AC

The substitution and subtraction property of equality indicates;

AB + CD + DB = 12 + CD + AD = 12 + CD + DB

AB = 12

Therefore, AB = 12

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Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.

1 meter is equal to 39.37 inches.

To convert the units, we can set up the following conversion factor:

1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²

Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:

Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²

Acceleration in in/s² ≈ 15222.7568 in/s²

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

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A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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Answer:

\( 9 \frac{3}{5} \)

Step-by-step explanation:

\(6 \times 1 \frac{3}{5} \)

\( = 6 \times \frac{8}{5} \)

\( = \frac{48}{5} \)

\( = 9 \frac{3}{5} (ans)\)

Answer:

0; 3.

Step-by-step explanation:

1) if to substitute x=1 into the given equation, it is possible to calculate the value of 'm':

1-m²-m+1=0; ⇔ m²+m-2=0; ⇒ m₁=-2; m₂=1;

2) if m=-2 and m=1, then the initial equation is:

x²-4x+3=0 or x²-x=0;

3) according to the item 3), the 2d root is:

x₂=3 or x₂=0.