Round 3,532 to the nearest thousand

The graph of the function f(x)=√(x + 1) is in the first option

A radical graph, also known as a square root graph, represents the graph of a square root function. A square root function is a mathematical function that takes the square root of the input variable.

The general form of a square root function is f(x) = √(ax + b) + c,

where a, b, and c are constants that determine the characteristics of the graph.

In the given function:

a = 1

b = 1

c = 0

The graph is plotted and attached

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The percentage error by calculating by differentials to approximate value of sqrt(99.4) = 0.00045 percentage.

For   percentage error Here first we have to find the value of sqrt(99.4) by  normal calculation and second we will calculate it by differential method then we will find the percentage error .

To approximate sqrt(99.4)  we will  use formula for linear approximation as given below  

f(x) = f(c) + f′(c)(x−c)

and we are dealing with square root so we have to find the f(x) ad here

f(x) = √x

and we will calculate  f'(x)  and here it is

f'(x) = 1/(2√x)

Here, x=99.4 and we choose c =100 because that’s the closest perfect square number to 99.4. so

f(c) = f(100) = √100 = 10

f'(c) = f'(100) =1/(2√100) = 1/20

f(x) =f(c) + f′(c)(x−c)

f(x) = f(99.4)=f(100)+f'(100)(99.4-100)

=10+1/20*(-0.6)

=9.97

Here we find the value by differential = 9.97

and by simple calculation the value is = 9.96995486

ans percentage error = (real value - differential value)/100

= (9.96995486-9.97)/100 = 0.00045 percentage

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The value of Tanθ is 20/21.

What is Pythagorean Theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

Given: sinθ = -20/29 and that angle terminates in quadrant III.

We have to find the value of tanθ.

Using the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.

Sinθ = Perpendicular/hypotenuse

Find the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side.

Adjacent = - √Hypotenuse² - perpenducualr²

Replace the known values in the equation.

Adjacent = -√29² - (-20)²

Adjacent = -21

Find the value of tangent.

Tanθ = Perpendicular/base

Tanθ = -20/(-21)

Hence, the value of Tanθ is 20/21.

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Answer:

\(n(t) = 400 + 40 t\)

Step-by-step explanation:

Given

\(a = 400\) --- initial

\(r = 40\)  --- rate

Required

Write in mathematical notation

Using mathematical notation,in terms of n.

The given parameters can be rewritten as

\(n(0) = a\)

\(n(0) = 400\)

and

\(\frac{dn}{dt} = r\)

\(\frac{dn}{dt} = 40\)

The mathematical notation can be determined using:

\(n(t) = n(0) + \frac{dn}{dt} * t\)

So, we have:

\(n(t) = 400 + 40 * t\)

\(n(t) = 400 + 40 t\)

Answer:

75%

Step-by-step explanation:

Answer:

The answer is the third option

Step-by-step explanation:

When an exponent is raised to the power of another exponent, both exponents are multiplied.
Recall that a number without an exponent is thought to be raised to the power of 1.

So after multiplying the exponents of all of the variables by 4, we are left with a solution identical to the third option.

PART 1: (a)The value of x in the pie graph is x = 30°

PART 2: (a)The value of x is 36°

(c) percentage of students for soccer is 25%

PART 3: (a)The value of Art is 165°

PART 1

(a) The value of x in the pie graph can be found by subtracting the other values from 360° because the sum of angles in a circle is 360°. That is:

x = 360 - 180 - 60 - 45 - 45 = 30°

(b) frequency = (angle of the part)/360 * 20

Baksket ball = 162/360 * 20 = 12

Bus        12

Car         4

Train       3

Walk       2

Bicycle   3

PART 2

(a) The value of x can be found by subtracting the other values from 360° because the sum of angles in a circle is 360°. That is:

x = 360 - 150 - 45 = 36°

(b) frequency = (angle of the part)/360 * 24

Basketball = 180/360 * 24 = 9

Basketball  9

Tennis        2

Hurling       4

Soccer       5

(c) percentage of student for soccer = 5/20 * 100 = 25%

PART 3

(a) The value of Art can be found by subtracting the other values from 360° because the sum of angles in a circle is 360°. That is:

Art = 360 - 162 - 90 - 72 = 165°

(b) frequency = (angle of the part)/360 * 120

Technology = 150/360 * 120 = 50

Technology  50

Music            15

Art                 55

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The surface area of the given two rectangular prism is given as follows:

498 cm².

The surface area of a rectangular prism of length l, width w and height h is given as follows:

S = 2(lw + wh + hl).

For this problem, there are two prisms, with dimensions given as follows:

Hence the surface area of the figure is the combined surface area of each figure, hence:

S = 2(7 x 7 + 12 x 7 + 12 x 7) + 2(2 x 7 + 2 x 2 + 7 x 2) = 498 cm².

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Answer:

$248.75

Step-by-step explanation:

25% more of 199 is 248.75

9 x (46+70) 5 - 32 (40 - 219) = 11428

Using the BODMAS rule, we solve the brackets first,

9 x (46+70) 5 - 32 (40 - 219)

= 9 x 116 x 5 - 32 x -179

Next, we solve the multiplication signs

9 x 116 x 5 - 32 x -179

= 5520 - ( -5728)

Solving the subtraction sign, we get

5520 - ( -5728)

= 11428

Hence, the answer is 11428

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Step-by-step explanation:

You divide the polygon into smaller shapes, rectangles suit this best.

There will be 2 rectangles:

1st rectangle whose length is 24ft and its width is 11 ft (21-10=11).

2nd rectangle its length is 10ft and its width is 7ft.

You find the area of both rectangles. The formula of finding the area of a rectangle is length X width.

1st rectangle has an area of 264 ft² (24 X 11)

2nd rectangle has an area of 70ft² (10 X 7)

Add the area of the two angles to get the area of the polygon.

Answer:

hope its help you

Step-by-step explanation:

3(x+y)+5=0

3x+3y+5=0

3x+3y= -5

Answer:

3*(x+y) + 5

Step-by-step explanation:

This is an mathematical  expression....it isi NOT an equation...the question does NOT say this is equal to zero (or anything else)

it is this     3 (x+y)   + 5    or   3x + 3y + 5

Answer:

192,110,919

Step-by-step explanation:

You would first need to divide 959595 by 555 which would equal 1729. Then you would need to multiply 1729*111111 which would equal 192,110,919.

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Answer:

209

Step-by-step explanation:

I think you meant how many cars she could wash in 95 days, and she can wash them in 5 days. And for the bottom, I think you meant 11. First, you figure out how many cars per day. 95 divided by 5 is 19, so it's 19 cars per day. then you multiply 19 by 11, it is 209.

Answer:

-10

Step-by-step explanation:

See image below:)

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-4/5x = 8

Step 2: Solve for x

Note: Any number raised to the power of zero gives 1 as the result

Therefore:

Answer:

33 bags

Step-by-step explanation:

she has 4.5 ft³

she needs 54 ft³

she must get an additional

54 ft³ - 4.5 ft³ = 49.5 ft³

each bag has 1.5 ft³

(49.5 ft³)/(1.5 ft³) = 33

Answer: 33 bags

Answer:

Domain: 0,1,2

The relation is a Function.

Step-by-step explanation:

hope this helps

A relation may or  may not be a function.

The relation is given as:

\(\mathbf{(x,y) = \{(0,0),(1,1),(2,0)\}}\)

List out the x-values

\(\mathbf{x = \{0,1,2\}}\)

The above set means that the x-values starts from 0 and ends at 2.

Hence, the domain is: [0,2]

For a relation to be a function, all y-values of the relation must point to different x-values.

So, we can say that, the given relation is a function, because all y-values have unique x values

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The value of one sixth times quantity x plus 24 end quantity equals negative 6 is -180.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, the expression given will be illustrated as:

1/6x + 24 = -6

Collect like terms

x / 6 = -6 - 24

x/6 = -30

Cross multiply

x = -30 × 6

x = -180

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Answer:

Answer: (D) x= 12

Step-by-step explanation:

First you would distribute 1/6 into everything. 1/6 is equal to .16, so you can do that if you would like. you would get .16x + 4

Next, divide .16 on both sides. It should look like this

.16x/.16 + 4/.16.

Your answer should be x+ 25 = -6, or x = 12.

I hope this helps, as I could be wrong. Good luck!

P.S. The guy above me just put the question into AI and just copy pasted it. Not worrying if it was right or not.

Answer

A few ways we could stop racism against black people in this country is to stop the perpepuation of black stereotypes in media. Such as the loud, aggressive black man, or the rude, catty black woman. It causes a harmful view on black people and can result in racial profiling. Another way to combat this racism is to fight off systemic racism. Black people who have unique names, usually African names, are more likely to get turned down for a job when they turn in their resume to an establishment. This is because they automatically assume that they'll be trouble, and won't be a good worker.

The answer of the given question based on series to find the sum is  the sum of the series is 52/81.

There are many types of series in mathematics, but some of the most common ones are:

Arithmetic series: A series in which difference between each term and its preceding term is constant. For example: 1, 3, 5, 7, 9, ... is arithmetic series with common difference of 2.

Geometric series: A series in which each term is obtained by multiplying the previous term by a constant factor. For example: 2, 4, 8, 16, 32, ... is a geometric series with a common ratio of 2.

Harmonic series: A series in which each term is the reciprocal of a natural number. For example: 1/1, 1/2, 1/3, 1/4, 1/5, ... is a harmonic series.

Telescoping series: A series in which most of the terms cancel out, leaving only a few terms that need to be added or subtracted. For example: 1/2 - 1/3 + 1/4 - 1/5 + ... is a telescoping series , and many more.

We can write the series as:

Σ to the power ∞ to the base n=1 [(3ⁿ + 5ⁿ) / 9ⁿ]

= Σ to the power ∞ to the base n=1 [(3/9)ⁿ + (5/9)ⁿ]

= Σ to the power ∞ to the base n=1 [(1/3)ⁿ + (5/9)ⁿ]

Let S be the sum of this series. Then:

S = (1/3)¹ + (5/9)¹ + (1/3)² + (5/9)² + (1/3)³ + (5/9)³ + ...

Multiplying both sides by (1/3) and adding it to itself, we get:

(1/3)S + S = (1/3)² + (5/9)² + (1/3)³ + (5/9)³ + (1/3)⁴ + (5/9)⁴ + ...

Simplifying, we get:

(4/9)S = (1/3)² + (5/9)²

Multiplying both sides by (9/4), we get:

S = [(1/3)² + (5/9)²] * (9/4)

S = (1/9) + (25/81)

S = 52/81

Therefore, the sum of the series is 52/81.

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Given: A parabola equation

Required: To find the vertex of the given parabola.

Explanation: The given equation can be written as

Now the general equation is of the form

Comparing both equations we get,

The x-coordinate of the vertex is

For the y coordinate of the vertex, put x=-3 in the equation of parabola

Hence the coordinate of the vertex is (-3,31)

Final Answer: The vertex is (3,-5).

Answer:

14.6cm

Step-by-step explanation:

The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.

Hope this helps!

The radius of a hemisphere with a volume of 6496 is 14.5 cm

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of a hemisphere is given by the formula V = (2/3)πrr³.

Since we are given the volume of the hemisphere, we can solve for the radius as follows:

V = (2/3)πr³

6496 = (2/3)πr³

Multiplying both sides by 3/2π, we get:

r³ = 6496 × (3/2π)

=6496×3/2×3.14

=19488/6.28

=3103.1

=∛3103.1

radius=14.5

Hence,  the radius of a hemisphere with a volume of 6496 is 14.5 cm

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Answer:

C

E

B

A

D

Step-by-step explanation:

That's just how numbers work

Answer:

Place value digits -

1.  

2 hundred millions + 0 ten millions + 1 million + 5 hundred thousands, + 8 ten thousands + 9 thousands + 3 hundreds + 4 tens + 5 ones.

2.

What is the place value of the 9? - thousands

What is the place value of the 2? hundred millions

What is the place value of the 8? ten thousands

What is the place value of the 4? tens

What is the place value of the 0? ten thousands

Step-by-step explanation:

Hope it helped!

Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

The width of the dog run is 20 feet.

In the given problem, the length of the dog run is given as 30 feet.

The area of the dog run is also given as 240 square feet.

Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).

Rearranging the formula, we have w = A / l.

Plugging in the values, we get w = 240 / 30 = 8 feet.

Since the width is given as (30 minus x) feet, we can set up an equation:

30 - x = 8. Solving for x, we find x = 22.

Therefore, the width of the dog run is 20 feet (30 - 22 = 8).

In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.

The area of the dog run is given as 240 square feet.

By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.

Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.

This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).

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Answer:

15

Step-by-step explanation:

Given that:

Mean (μ) = 1500

Standard deviation (σ) = 150

Sample size = 100

Mean (m) = 1400

Margin of Error of sample :

Standard deviation / √sample size

σ / √n

150 / √100

150 / 10

= 15

Answer:

288π inch³

Step-by-step explanation:

V=4

/3πr³

by substituding in formulae

4/3*216π

=288π inch³

hope this helps

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Answer:

-2

Step-by-step explanation:

the power is 2 for (x+2) so it will touch the axis

thepower of (x-5) is 3 so it will cross the axis

the correct answer is then -2

hope this helps

Answer:

B. -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Regs.

Spinner A and Spinner B below are each to be spun once.

0 18

O 12

6

Spinner A

5

2

4

00

Answer: .50

Step-by-step explanation:

Answer:

.50

Step-by-step explanation: