19/20 divided by 20/30 = 19/20 x ?

A. -30/20
B. 30/20
C. 20/19
D. -20/19

Answer:

19107

Step-by-step explanation:

First, we need to find the common difference (d), which we can find by subtracting two consecutive terms.  Thus, we can do d = 1 - (-3) = 4.

Now, we need to know how many terms are in the arithmetic series.  We can find the number using nth term formula, which is

\(a_{n}=a_{1}+(n-1)*d\), where a1 is the first term, n is the term position (e.g., 1st, 2nd).

Although we don't know the term position of 389, we can still plug it into the formula and solving for n will reveal it's term number and the total number of sums in the sequence:

\(389=-3+(n-1)*4\\392=(n-1)*4\\392=4n-4\\396=4n\\99=n\)

Now, we can find the sum using the sum formula, which is

\(S_{n}=n/2*(a_{1}+a_{n})\)

Sn can become S99 since there are 99 terms and we can let an = a99, which we know is 389.

Now, we must solve for S99:

\(S_{99}=\frac{99}{2}*(-3+389)\\ S_{99}=\frac{99}{2}*(386)\\ S_{99}=19107\)

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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x = 20

Hi there !

12 .........60%

x............100%

x = 12×100/60

= 1200/60

= 20

Good luck !

Answer:

the answer is 24192

Answer: 24192

Step-by-step explanation:

The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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The number of packages that need to be delivered daily by UpEx to make a profit of $32 is 115 packages

First, find the contribution margin of each package:

= Charge to deliver package - Cost to deliver package

= 3.50 - 1.50

= $2.00

To find the number of packages needed to make a profit of $32, the formula is:

= (Fixed cost + projected profit) / Contribution margin

= ( 198 + 32) / 2

= 230 / 2

= 115 packages

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Answer:

Decimal

Step-by-step explanation:

its a Decimal because 0.5 is an fact a decimal and its is equal to half and you can put 2 and 2 together and say it is a decimal just by how it looks

:) i hope you get the question righttt trust me its right i got it right on flocabulary.

The missing word into place is Decimal. Hence option 3 is true.

Used the concept of decimal number that states,

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Given that the number is,

0.5

Now the number is written as,

0.5

5/10

1/2

And, the number 0.5 is in the form of a Decimal.

Hence, The missing word place is Decimal.

Therefore, option 3 is true.

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Answer:

She was there for 3 hours.

Step-by-step explanation:

7.25-5= 2.25

2.25÷0.75=3

Answer:

I think it is D

Step-by-step explanation:

Answer:

48/13

Step-by-step explanation:

To make this into an improper fraction, convert the integer into a fraction using the denominator of the fraction

3 * 13/13 = 39/13

Then add it to the rest of the fraction

39/13 + 9/13

= 48/13

Answer: 48/13

Step-by-step explanation: first multiply 3 x 13 to get 39. do this because you get the fraction for the whole number, 3. then, add 39 to the numerator (9). you will get 48/13. you do this because you are adding the whole number (3) to the fraction so that way it is an improper fraction.

Red books are 8 and blue books are 6.

The smallest unit of measurement is the inch (or inches, in plural). A foot is made up of twelve inches. In the metric system, one inch is equivalent to 2.54 cm. When measuring shorter distances, such the breadth of an eraser or the length of a pencil, inches are employed.

Give conditions

Total books = 11

Red book height = 1 inches

Blue book height = 2 inches

Total height = 14 inches

We assume that

8 red books and 3 blue books = 11 books { first condition is satisfied}

In inches case:

8 * 1 = 8 { red book height 1 inches}

3 * 2 = 6 {blue book height 2 inches}

total height = 8 +6 = 14 inches {second condition is satisfied}

since red books are 8 and blue books are 6.

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Answer:

5/36 is the simplest answer

Step-by-step explanation:

i did the math and searched it up i hope this helps

Answer:

F(4) = -256

Step-by-step explanation:

f(1)=4

f(2)= -4* f(1) = -4 *4 = -16             F(2 ) = -16

f(3) = -4* f(2) = -4* (-16) = 64       F(3) = 64  

f(4) = -4* f(3)  = -4* 64 = -256     F(4) = -256

Answer:

f(4) = -256

Step-by-step explanation:

A recursive formula defines the nth term of a sequence based on the values of earlier terms.

To find the value of f(4) using the given recursive formula, we can work our way up from f(1) using the formula repeatedly.

Given recursive rule:

\(\begin{cases}f(1)=4\\f(n)=-4f(n-1)\end{cases}\)

To find f(2):

\(\begin{aligned}f(2)&=-4f(2-1)\\&=-4f(1)\\&=-4 \cdot 4\\&=-16\end{aligned}\)

To find f(3):

\(\begin{aligned}f(3)&=-4f(3-1)\\&=-4f(2)\\&=-4 \cdot -16\\&=64\end{aligned}\)

To find f(4):

\(\begin{aligned}f(4)&=-4f(4-1)\\&=-4f(3)\\&=-4 \cdot 64\\&=-256\end{aligned}\)

Therefore, the value of f(4) is -256.

The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.

Given the function g(x) = f(x + 4) + 8, let's examine its features:

Domain:

The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f.  However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.

Range:

Similar to the domain, the range of the function g will depend on the range of the function f.

x-intercept:

The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.

0 = f(x + 4) + 8

By subtracting 8 from both sides:

-8 = f(x + 4)

Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.

y-intercept:

The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:

g(0) = f(0 + 4) + 8

g(0) = f(4) + 8

Again, the specific value of f(4) will depend on the behavior of the function f.

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The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

Answer:

A

Step-by-step explanation:

because

\(x - 5 = 8 \\ x = 8 + 5 \\ x = 13 \\ x - 5 + 2 = 8 + 2 \\ x - 3 = 10 \\ x = 10 + 3 \\ x = 13\)

Answer:

4.002

Step-by-step explanation:

12 x (.5) = 6

6 x (.667) = 4.002

Answer:The answer is £2

Step-by-step explanation: 50% of 12 is 6, 1/3 of 12 is 4,  4+6=10, 12-10=2

The area of a triangle is preserved by translations, rotations and reflections. The only transformation that alters the area is the dilation.

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

Answer:

27

Step-by-step explanation:

Input 5 for all x-values.

If that is an equal sign...

1/9*(3^5)

With PEMDAS, exponents are done before multiplication.

1/9*243

= 27

The LPF for a <100> direction in an FCC crystal structure is approximately 0.74.

The linear packing factor (LPF) of a <100> direction in a face-centered cubic (FCC) crystal structure can be calculated as follows:

LPF = Volume occupied by atoms / Total volume of the unit cell

In an FCC structure, each unit cell contains four atoms located at the corners and one atom at the center. The total volume of the unit cell can be calculated using the lattice parameter (a) as:

Total volume = a^3

The volume occupied by the atoms can be calculated by considering the sphere that is centered at each of the five atoms in the unit cell and has a radius equal to half of the lattice parameter (a/2). The volume of the sphere is given by:

Volume of sphere = (4/3) * π * (a/2)^3

So the total volume occupied by the five atoms is 5 * (4/3) * π * (a/2)^3.

Therefore, the LPF can be calculated as:

LPF = 5 * (4/3) * π * (a/2)^3 / a^3 = 5 * (4/3) * π / 8 = π / (2√2) ≈ 0.74.

So, the LPF for a <100> direction in an FCC crystal structure is approximately 0.74.

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Answer:

(B)-4

Step-by-step explanation:

The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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Given:

The limit problem is:

\(\lim_{x\to -\infty}(-2x^5-3x+1)\)

To find:

The value of the given limit problem.

Solution:

We have,

\(\lim_{x\to -\infty}(-2x^5-3x+1)\)

In the function \(-2x^5-3x+1\), the degree of the polynomial is 5, which is an odd number and the leading coefficient is -2, which is a negative number.

So, the function approaches to positive infinity as x approaches to negative infinity.

\(\lim_{x\to -\infty}(-2x^5-3x+1)=\infty\)

Therefore, \(\lim_{x\to -\infty}(-2x^5-3x+1)=\infty\).

Answer:

c6

Step-by-step explanation:

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)