John is saving ⅔ of his allowance each week for a wireless headphones that he wants to buy. After 6 weeks he was $87 saved for the headset.what's John weekly allowance?How much money which week does he save for the headset?

So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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sinusoidal curve equation 29 sin (\(\pi\)/9 x)-49

Given the graph of a sinusoidal function, we can write its equation in the form y = A·sin(B(x - C)) + D using the following steps. D: To find D, take the average of a local maximum and minimum of the sinusoid. y=D is the "midline," or the line around which the sinusoid is centered.

In the state of Michigan, the lowest average temperature of the year is in January and is about 20 °F.

The highest monthly average temperature occurs in July at 78 °F

Assume the period is 12 months and January is at the origin of the graph of this function.

sinusoidal curve equation that models the data y

Then, Graph the curve using x = 0 for January, and x = 11 for December, so that x = 12 will be the start of the next year, or end of the period.

So, using the property of sinusoidal curve equation we have

=29 sin (\(\pi\)/9 x)-49

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Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

Answer:

Just use algebra calculator

Step-by-step explanation:

The central angle of Bathing = 108 degrees.

In the given pie chart,

Since we know,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The whole circle is 360 degrees

which represents 100%.

It is given that,

Bathing = 30%

So have need to find 30% of 360 degrees.

Therefore,

Bathing = (30/100)x360

            =  (30/10) x 36

            = 3x36

            = 108

Hence,

The central angle = 108 degrees.

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The complete question is:

To the nearest degree, what is the measure of the central angle for bathing?

Answer:

O a=0

Step-by-step explanation:

Based on the Law of Cosines; it was proven that:

Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.

Based on the unshaded triangle, we can find that:

cos Θ = x/a

Next, we will prove that: cos (180 - C) = x/a

Remember that:

cos (A + B) = cos A cos B - sin A sin B

Law of Cosines: c² = a² + b² - 2ab. cos C

cos C = - [c² - (a² + b²)] /2ab ... (i)

Then:

cos Θ = cos (180 - C)

cos (180 - C) = cos 180 . cos C - sin 180 . sin  C

We subtitute equation (i):

cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C

cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)

If we focus on the unshaded triangle, we can find an equation of a, where:

a² = h² + x² ... (iii)

And if we combine both triangle into a giant triangle, we can make another equation of c. where:

c² = (x + b)² + h² ... (iv)

We will subtitute equation (iv) into equation (ii):

cos (180 - C) =  [c² - (a² + b²)]/ 2ab

cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab

cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)

We subtitute equation (iii) into equation (v):

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab

cos (180 - C) = [a² + 2bx - a²] / 2ab

cos (180 - C) = 2bx / 2ab

cos (180 - C) = x/a --> PROVEN!

Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.

We know that:

a² + b² - 2ab cos C = c²

c² = (x + b)² + h²

We will try to find the value of cos C:

a² + b² - 2ab cos C = (x + b)² + h²

a² + b² - 2ab cos C = x² + b² + 2bx + h²

a² - 2ab cos C = a² + 2bx

- 2 ab cos C = 2bx

cos C = - x/a

We will subtitute the value of cos C under the Law of Cosines:

c² = a² + b² - 2ab cos C

c² = a² + b² - 2ab (- x/a)

c² = a² + b² + 2bx --> PROVEN!

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The answer is E bro bro

Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

=1/3×π×5²×11

=275/3 ×3.14

≈287.33 in³

Answer:

(4, 7/2)

Step-by-step explanation:

midpoint = x values/2, y values/2

Answer:

168 ways

Step-by-step explanation:

Given

\(Junior = 7\)

\(Senior = 3\)

Required

Number of ways 3 project can be assigned

Starting with the second project.

This can be assigned to only senior coders

So:

\(n_1 = 3\)

Then, the third project.

This can be assigned to only junior coders

So:

\(n_2 = 7\)

At this point, we are left with 2 senior coders and 6 junior coders

Since the first can be assigned to anybody.

\(n_3 =2+ 6\)

\(n_3 =8\)

The number of selection is then calculated as:

\(n = n_1 * n_2 * n_3\)

\(n = 3 * 7 * 8\)

\(n = 168\)

Answer:

\(\boxed{\bf Slope(m)=2.5}\)

Step-by-step explanation:

We can use the slope formula to find the slope of a line given the coordinates of two points on the line:- (3,64) and (9,79).

The coordinates of the first point represent x_1 and y_1. The coordinates of the second points are x_2, y_2.

\(\boxed{\bf \mathrm{Slope}=\cfrac{y_2-y_1}{x_2-x_1}}\)

\(\sf \left(x_1,\:y_1\right)=\left(3,\:64\right)\)

\(\sf \:\left(x_2,\:y_2\right)=\left(9,\:79\right)\)

\(\sf m=\cfrac{79-64}{9-3}\)

\(\sf m=\cfrac{5}{2}\)

\(\sf m=2.5\)

Therefore, the slope of (3,64) and (9,79) is D) 2.5!!

___________________

Hope this helps!
Have a great day!

Answer:

Step-by-step explanation:

Formula we use,

→ m = (y2 - y1)/(x2 - x1)

Then the required slope is,

→ m = (y2 - y1)/(x2 - x1)

→ m = (79 - 64)/(9 - 3)

→ m = 15/6

→ [ m = 2.5 ]

Hence, the slope is 2.5.

Setting x=2 in the function is the simplest approach to discover f(2). However, you might plot the graph of f(x) and the vertical line x=2 to visually solve this.

Set x=2 in the function for the quickest and easiest method to discover f(2). Plotting the graph of f(x) and the vertical line x=2 would allow you to visually answer this problem. Next, the graphs' intersection will represent the answer. The "x" in "f (x)" is known as "the function's argument" or simply "the argument" in function notation.

As a result, if they ask for a "argument" and offer you the equation "f (2)," all you have to say is "2." Now (1) f(2)=2(2+1)=2×3=6.If our function's value is f(2), then we should calculate its value when x=2. Example. If x = 2, then f(2) = 2 + 7 = 9. F(x) = x + 7. GF(2), also known as the Galois field of two elements, or F2, the chemical formula for fluorine. F2 is a tornado intensity category on the Fujita scale.

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Answer:

5(4 + 1)

Step-by-step explanation:

5 times 4 = 20. 5 times 1 =5. Add the 20 and 5 you'll get 25

Answer: 5(4+1)

Step-by-step explanation:

Yes

Answer:

10 inches

Step-by-step explanation:

15 days/3 days =5

5 x 2 =10

Answer:

324

Step-by-step explanation:

20%-> 0.2

0.2(270)= 54

270+54=324

Answer:The answer is 324

Step-by-step explanation:20% of 270 is 54 so add 54 and 270 because you increase by 20 to get the answer

Answer:

the answer is A

Step-by-step explanation:

Answer:

The answer is: A. (-1/3) x (-9) x 2/5

Step-by-step explanation:

A-P-E-X verified

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

  f(x) = x^3 -2x^2 -3x +7

Step-by-step explanation:

Cubic polynomial regression using your favorite tool (graphing calculator, spreadsheet, or web site) will tell you the interpolating polynomial is ...

  f(x) = x^3 -2x^2 -3x +7

_____

You can use Lagrange polynomial interpolation. It gives the function as the sum of four factored cubics:

  \(f(x)=3\cdot\dfrac{(x-2)(x-3)(x-4)}{(1-2)(1-3)(1-4)}+1\cdot\dfrac{(x-1)(x-3)(x-4)}{(2-1)(2-3)(2-4)}+\\\\\text{ }\qquad7\cdot\dfrac{(x-1)(x-2)(x-4)}{(3-1)(3-2)(3-4)}+27\cdot\dfrac{(x-1)(x-2)(x-3)}{(4-1)(4-2)(4-3)}\)

Or, you can write equations for the coefficients a, b, c, d of ...

  ax^3 +bx^2 +cx +d = f(x)

These would be ...

  a + b + c + d = 3

  8a +4b +2c +d = 1

  27a +9b +3c +d = 7

  64a +16b +4c +d = 27

Your friendly linear equation solver will tell you ...

  (a, b, c, d) = (1, -2, -3, 7) . . . matches the equation shown above

Answer:

Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each

there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each

the total value off all of these together is $2.68

The requried value of k in the equation is given as k = 10.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
f(x)=3x³+kx-13

x−1 is a factor of f(x)
So,
x - 1 = 0
x = 1 at x = 1,  f(1) = 0

Put x = 1 in the given equation,
f(1)=3× 1³+k×1-13
0 = 3 + k - 13

k = 10

Thus, the requried value of k in the equation is given as k = 10.

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The value of k in g(x) = 5^x + k is -7

The complete question is added as attachment

The functions are given as:

f(x) = 5^x

g(x) = 5^x + k

From the attached graph, we can see that:

f(x) is shifted down by 7 units to form g(x)

This means that:

g(x)= f(x) - 7

This gives

g(x) = 5^x - 7

Substitute g(x) = 5^x - 7 in g(x) = 5^x + k

5^x + k = 5^x - 7

This gives

k = -7

Hence, the value of k in -7

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Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

The expected value of X is given as follows:

E(X) = 8.13.

(representing the expected Apgar score of a randomly selected newborn baby.)

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Hence the expected value of X is calculated as follows:

E(X) = 0 x 0.001 + 1 x 0.006 + 2 x 0.007 + 3 x 0.008 + 4 x 0.012 + 5 x 0.02 + 6 x 0.038 + 7 x 0.099 + 8 x 0.319 + 9 x 0.437 + 10 x 0.053 = 8.13.

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Answer: Chronological text structure

The reason my answer is correct is because it is in order. It goes from one specific time and place to the next. It is not sequence because this order is happening at specific times while sequence doesn't have specific times and places.

-zomba

Answer:

-50 dollars per month

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

19 *100/76

Number into 100 by percentage

The expected number of employees working at Sprockets R Us in 2006 will be 8069.45.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The number of employees working for Sprockets R Us in 2005 was 8110, with an expected decrease of 0.5% per year. At the rate of decrease given, what is the expected number of employees working at Sprockets R Us in 2006?

The number of the employees in 2006 will be calculated as:-

Number of employees decreased   = 0.5% x 8110

Number of employees decreased   = (0.5/100) x 8110

Number of employees decreased   = 40.55

The number of the employees in 2006 will be

N = 8110 - 40.55 = 8069.45

Therefore the expected number of employees working at Sprockets R Us in 2006 will be 8069.45.

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