Given a smooth functionſ such that f(-0.3) = 0.96589, f(0) = 0 and f(0.3) = -0.86122. Using the 2-point forward difference formula to calculate an approximated value of ''(0) with h = 0.3, we obtain:

Answer:

option D is the answer

Step-by-step explanation:

3n + 5

_______

n² + 5

The statements that are true if the variables given, represent the periods of salaries, include:

]

If y represents the yearly salary then that means that in relation to the biweekly salary, this can be found as :

Biweekly salary = Annual salary / 26 biannual periods

b = y / 26

If y is the yearly salary, it can be found by:

= Number of weeks in year x Weekly salary

= 52 w

y, being the yearly salary, would also be found as:

= Monthly salary x number of months in year

= 12m

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Options for this question include :

b = y/26

y = m/12

y = 52w

12m =y

26y = b

to determine which items are within tolerance, we compare their values to the specified range. To calculate the percent accuracy, we find the difference between the measured value and the target value, and then divide it by the target value.

a) To determine which items are within tolerance, we need to compare each item's value to the acceptable range specified by the tolerance. If an item's value falls within this range, it is considered to be within tolerance. Let's say we have three items with their respective values and tolerances:
Item 1: Value = 10, Tolerance = ±2
Item 2: Value = 7, Tolerance = ±1.5
Item 3: Value = 5, Tolerance = ±0.5
For Item 1, since 10 falls between 10-2=8 and 10+2=12, it is within tolerance.
For Item 2, since 7 falls between 7-1.5=5.5 and 7+1.5=8.5, it is also within tolerance.
For Item 3, since 5 falls between 5-0.5=4.5 and 5+0.5=5.5, it is within tolerance as well.
Therefore, all three items are within tolerance.
b. To calculate the percent accuracy by item, we need to determine the difference between the measured value and the target value, and then divide it by the target value. This difference is then multiplied by 100 to obtain the percent accuracy.
Using the same values as before:
Item 1: Value = 10, Target Value = 9
Item 2: Value = 7, Target Value = 6
Item 3: Value = 5, Target Value = 4
For Item 1, the difference is 10-9=1. The percent accuracy is (1/9) x 100 = 11.11%
For Item 2, the difference is 7-6=1. The percent accuracy is (1/6) x 100 = 16.67%
For Item 3, the difference is 5-4=1. The percent accuracy is (1/4) x 100 = 25%.Therefore, the percent accuracy by item is 11.11%, 16.67%, and 25% for Items 1, 2, and 3 respectively.

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The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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Yes, the table contains the solution of the system of equations, and the solution is (7, 6).

Here we have a table that defines a system of equations of the form:

ya = f(x)

yb = f(x)

And a solution of that system is a point of the form:

yb = f(x) = ya

So we wan to find a pair such that for the same value of x, the values of ya and yb are the same ones.

We can see that when x = 6 that happens, then yes, the table has the solution to the system of equations, and the solutions is (6, 7)

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Jean would need to pay $10088.55 as property tax on her new home which cost $238500

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the value of Jeans property tax.

Jean's new home are 4. 23% of the value of the home. For a home of $238500:

x = 4.23% of $238500 = 0.0423 * $238500 = $10088.55

Jean would need to pay $10088.55 as property tax on her new home which cost $238500

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Answer:

25/14 or in decimal form 1.78

Good Luck!!‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ 

We have a translation 3 units downwards and 4 units to the right. So the equation is:

g(x) = ∛(x - 4) - 3

We know that g(x) is a transformation of the parent cube function, which is f(x) = ∛x

If we look at the image, we can see that the graph of g(x) is exactly like the graph of f(x), but translated 3 units downwards and 4 units to the right.

A vertical translation of N units is written as:

g(x) = f(x) + N

A translation of 3 units downwards is written as:

g(x)= f(x) - 3

A horizontal translation of N units is written as:

g(x) = f(x + N)

Then a translation of 4 units to the right is:

g(x) = f(x - 4) - 3

Replacing the function f(x) we get:

g(x) = ∛(x - 4) - 3

That is the transformed function. So the correct option is D

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Answer:

\(9\frac{1}{4}\) inches and 23.5 cm

Step-by-step explanation:

A student uses ruler to measure the length of their foot.

Given measurements are,

\(9\frac{1}{4}\) inches

\(9\frac{5}{64}\) inches

23.47659 cm

23.5 cm

23.48 cm

Most appropriate measurement that we can measure by a ruler is up to single decimal place.

Inches can be measured appropriately in quarters or halves also.

Therefore, \(9\frac{1}{4}\) inches and 23.5 cm are the correct options.

Answer:

\(x {}^{2} + 5x + 6 \\ {x}^{2} + 3x + 2x + 6 \\ x(x + 3) + 2(x + 3) \\ (x + 3) (x + 2)\\ \\ ( {x}^{2} + x - 6) \\ {x}^{2} + 3x - 2x - 6 \\ x(x + 3) - 2(x + 3) \\ (x - 2)(x + 3) \\ \\ {x}^{2} - 9 \\ (x - 3)(x + 3) \\ \\ the \: hcf \: = (x + 3)\)

Answer:

x = 95 degrees

Step-by-step explanation:

First find the missing angle next to 142 (we will call it y)

y +142 = 180

subtract 142 from both sides

y = 38 degrees

then we know a triangle must have 180 degrees

so

47+38+x = 180

subtract 47 and 38 from 180

x = 95

hope this helps and makes sense :)

Answer:

4 cups

Step-by-step explanation:

2 divided by 1/2 is 4 so there are 4 half cups of sugar.

Since the sugar is multiplied by 4 you have to multiply the flour by 4.

1*4=4

Let's solve your equation step-by-step.

3x−5x+14=26

Step 1: Simplify both sides of the equation.

3x−5x+14=26

3x+−5x+14=26

(3x+−5x)+(14)=26(Combine Like Terms)

−2x+14=26

−2x+14=26

Step 2: Subtract 14 from both sides.

−2x+14−14=26−14

−2x=12

Step 3: Divide both sides by -2.

−2x

−2

=

12

−2

x=−6

Answer:

x=−6

Answer:y=-5/3x+26/3

Step-by-step explanation:

2-7/4-1=-5/3

(4,2)

y-2=-5/3(x-4)

y-2=-5/3x+20/3

  +2             +2

y=-5/3x+26/3

\(y=-\frac{5}{3}x+\frac{26}{3}\)

It passes through the points

Answer:

60 miles

Step-by-step explanation:

This means the number of days he will ride is

45 days

Hence, the minimum number of miles that Jamaal must ride each day with his new plan is calculated as:

Total number of miles/Number of days

= 2668 miles /45 days

= 59.288888889 miles

Approximately to the nearest whole number = 60 miles

Hence, the minimum number of miles Jamal must ride each day is 60 miles

Answer:

Answer:

Step-by-step explanation:

Answer:

5 small rooms and 10 large rooms

Step-by-step explanation:

EZ POG

Answer:

The expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 21

Step-by-step explanation:

The perimeter is the sum of all side lengths for a 2d shape, such as this triangle. Our perimeter is thus

4x² - 3 + 4x² - 2 + 4x² - 1

We can then separate our variables and constants to make it

4x² + 4x² + 4x² - 3 - 2 - 1

Add the constants to get

4x²+4x²+4x²  - 6

To add variables, we must first make sure that they are the same variable/letter as well as to the same degree. The coefficient only affects the result. Because all of our variables are the same letter (x) and are all to the second degree, we can add them. To do this, we simply add the coefficients together to make one big coefficient, and multiply that by the variable. Thus,

4x² + 4x² + 4x² = (4+4+4)x² = 12x²

4x²+4x²+4x²  - 6 = 12x² - 6

Another way of looking at it is that 4x² = 4(x²) = x²+x²+x²+x²

Therefore, the expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 12 * 1.5² - 6 = 21

Answer:its a rectangle

Step-by-step explanation:

The enlarged photograph will be 30 inches in width and a proportional length.

Marine has a rectangular photograph that measures 6 inches in width. If she wants to enlarge the photograph using a scale of 1:5, this means that the size of the photograph will be increased by a factor of 5 in both width and height.

To determine the new width of the photograph, we can multiply the original width of 6 inches by 5, which gives us a width of 30 inches for the enlarged photograph.

It's important to note that while the width of the photograph will increase, the aspect ratio of the photograph will remain the same.

This means that the length of the photograph will also be increased by the same factor of 5.

Therefore, the enlarged photograph will be 30 inches in width and a proportional length.

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Factoring the sum or difference of cubes involves using specific formulas to simplify expressions.

The sum of cubes formula, a^3 + b^3 = (a + b)(a^2 - ab + b^2), and the difference of cubes formula, a^3 - b^3 = (a - b)(a^2 + ab + b^2), allow us to break down these expressions into more manageable factors.

To factor the sum or difference of cubes, you can use the following formulas:

Sum of Cubes: a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Cube difference: (a - b)(a - b)(a - b)(a - b)(a - b)

Sum of Cubes:

The sum of cubes formula states that the sum of two cubes, a^3 + b^3, can be factored into (a + b) multiplied by the quadratic expression a^2 - ab + b^2.

For example, let's factorize 8x^3 + 27:

We can identify a = 2x and b = 3, so using the sum of cubes formula:

8x^3 + 27 = (2x + 3)(4x^2 - 6x + 9)

Difference of Cubes:

The difference of cubes formula states that the difference between two cubes, a^3 - b^3, can be factored into (a - b) multiplied by the quadratic expression a^2 + ab + b^2.

For example, let's factorize 64y^3 - 125:

We can identify a = 4y and b = 5, so using the difference of cubes formula:

64y^3 - 125 = (4y - 5)(16y^2 + 20y + 25)

Factoring the sum or difference of cubes involves using specific formulas to simplify expressions. The sum of cubes formula, a^3 + b^3 = (a + b)(a^2 - ab + b^2), and the difference of cubes formula, a^3 - b^3 = (a - b)(a^2 + ab + b^2), allow us to break down these expressions into more manageable factors. Factoring such expressions can be useful in various algebraic calculations and simplifications.

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Answer:

-99.12525

Step-by-step explanation:

Answer:−  99.12525

Step-by-step explanation:

I multiplied it

Answer:

On the sixth day (10 - 4), the worm was 2.5mm long.

Step-by-step explanation:

Giving the following information:

Future Value= 40mm

Present Value= 2.5mm

Number of periods (n)= ?

Growth rate= 100% per day

First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):

n= ln(FV/PV) / ln(1+i)  

n= ln (40 / 2.5) / ln (2)

n= 4

It will take 4 days.

On the sixth day (10 - 4), the worm was 2.5mm long.

The first line is perpendicular, the second line is not perpendicular and not parallel , the third line is parallel to the above line and the forth line not parallel or perpendicular to the line.

The slope of the line  is been given as −3x+5y=−15

Then \(y= \frac{3}{5x} -3\), hence the slope is \(\frac{3}{5}\)

the slope is \(y= \frac{5}{-3x} +5\\\\\frac{5}{-3}\)

this means that the line is perpendicular to the given line

\(y= \frac{3}{-5x} +15\\\\\frac{3}{-5}\)

This means that the line is not perpendicular and not parallel

\(y= \frac{3}{5x} +15\\\\\frac{3}{5}\)

This means that the line is parallel to the above line.

\(y= \frac{-3}{5x} +3\\\\\frac{-3}{5}\)

This means that the line is not parallel or perpendicular to the line

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Answer:

a. The number of students who can play all three instruments = 2 students

b. The number of students who can play only the saxophone is 0

c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only one of the clarinet, saxophone, or flute = 4

Step-by-step explanation:

The total number of students available = 29

The number of students that can play flute = 11 students

The number of students that can play clarinet = 15 students

The number of students that can play saxophone = 12 students

The number of students that can play flute and saxophone = 4 students

The number of students that can play flute and clarinet = 4 students

The number of students that can play clarinet and saxophone = 6 students

Let the number of students who could play flute = n(F) = 11

The number of students who could play clarinet = n(C) = 15

The number of students who could play saxophone = n(S) = 12

We have;

a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)

Therefore, we have;

29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3

29 = 24 + n(F∩C∩S) + 3

n(F∩C∩S) = 29 - (24 + 3) = 2

The number of students who can play all = 2

b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)

The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0

The number of students who can play only the saxophone = 0

c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4

The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only the saxophone = 0

The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3

The number of students who can play only the clarinet = 3

The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1

The number of students who can play only the flute = 1

Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4

The number of students who can play only one of the clarinet, saxophone, or flute = 4.

Answer:

kay

Step-by-step explanation:

The graph of the piecewise function in this problem is given by the image presented at the end of the answer.

A piecewise function is a function that has different definitions, based on the input of the function.

The intervals of the piecewise function for this problem are given as follows:

For the first interval, the function is a constant horizontal line at y = -3.

For the second interval, we have a linear function with a slope of 1, hence two points are given as follows:

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