A sequence is represented by the recursive formula below:

Answer:

g(-3) = 2

Step-by-step explanation:

g(x) = |x| - 1, x < 1        You would use this equation for finding g(-3). Since -3 is less than 1.

g(x) = |x| - 1, x < 1     ← You can ignore the x<1 part.

g(-3) = |-3| - 1            Input the value -3 as x. The absolute value of x is always  g(-3) = 3 - 1               positive.

g(-3) = 2                    Simplified

Next,

g(x) = x²- 10, 1 ≤ x ≤ 3     You would use this equation for finding g(3). Since 3 is equal to 3.

g(x) = x²- 10, 1 ≤ x ≤ 3  ← You can ignore the 1 ≤ x ≤ 3 part.

g(3) = (3)²- 10                   Input the value 3 as x.

g(3) = 9 - 10                     Simplify

g(3) = - 1

Then,

g(x) = [tex]\frac{1}{6}[/tex]x, x > 3          You would use this equation for finding g(6). Since 6 is greater than 3.

g(x) = [tex]\frac{1}{6}[/tex]x, x > 3     ←   You can ignore the x > 3 part.

g(6) = [tex]\frac{1}{6}[/tex](6)                  Input the value 6 as x.

g(6) = [tex]\frac{6}{6}[/tex]                      Simplify

g(6) = 1

Answer: g(-3) = 2 results in the largest value/output.

Answer:

[Note sec²x-tan²x=1]

The Correct answer is 5.50 p.m

Time between Monday 0445h and Friday 1845h

= 4 x 24 + 14 = 110h

Time lost = 0.5 x 110

= 55min

Time shown in 12 hour system

1845 – 55 = 1750 h

= 5.50 p.m

On an analogue clock, the 12-hour clock is most frequently displayed as the digits 1 through 12; on a digital clock, it is typically followed by either a.m. (ante meridiem, Latin for "before noon") or p.m. (post meridiem, Latin for "after noon").

Digital clocks are more frequently used to display the 24-hour clock, which is printed in a 4-digit format with the first two numbers denoting the hour and the final two denoting the minutes.

No need for a.m. or p.m. is necessary because each time represents one of the 24 hours in a day. For instance, 0300 is the third hour of the day, or 3am; 1400 is the fourteenth hour of the day, or 2pm; and 1830 is the thirty-minute mark after the eighteenth hour of the day, or 6.30pm.

Children can be taught to add 12 to the hours after noon in order to change a 12-hour clock to a 24-hour one. For instance, 3pm becomes 15:00 since 3 + 12 = 15.

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The time shown on 19:45h Fridays is 06: 55 pm Friday.

A collection of synchronized clocks that can communicate with one another and display the exact same time every single time is known as a clock network or clock system. A constant pulse known as a system clock or system timer aids the computer clock in maintaining accurate time. It keeps track of how many seconds have passed since the epoch and utilizes that information to determine the current date and time.

A piece of electronic equipment inside a computer that continuously emits a high-frequency signal to keep everything in sync. electrical gadget type. a piece of equipment that operates electronically. a computerized time-of-day clock.

Given: Watch loses = 1/2 minute every hour

Time difference = 19: 45 h Friday - US:45 h Monday

=4 days 14 hours

=24 × 4+14 hours

=96+14

=110 hours

Time lost [tex]$= & 144^{55} \times \frac{1}{2} \mathrm{~min} \\[/tex]

= 55 min

Time shown on 19:45h Fridays

= 19: 45 - 0: 55

= 18: 55 h Friday

= 06: 55 pm Friday

Hence, 06: 55 pm Friday

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Answer:

Below

Step-by-step explanation:

x - 6 = 12      add 6 to both sides of the equation

x - 6 + 6 = 12 + 6     simplify

x = 18

3x-1 = 11        add  1  to both sides of the equation

3x -1 + 1 = 11 + 1

3x = 12          now divide both sides by 3

3x/3 = 12 / 3   simplify

x = 4

Answer:

I need more to the question so I can answer it

Step-by-step explanation:

The equivalent quadratic equation to  (x - 2)(x + 9) = 0 is x² + 7x - 18 = 0.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know if α and β are the roots of a quadratic equation ax² + bx + c = 0,

Then we can construct the equation by the factors (x - α)(x - β).

Given, We have to construct a quadratic equation with (x - 2)(x + 9) = 0.

Now, Multiply the terms we have,

x² + 9x - 2x - 18 = 0.

x² + 7x - 18 = 0.

So, Our required quadratic equation is x² + 7x - 18 = 0.

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Answer:

one half of a cup. it is written as a half as 1/2. :)

By using properties for angles we can find and solve some linear equations, there we can see that x = 30°.

Remember that the sum of the interior angles of a triangle must give 180°, and we also know that the angle defined by a line is 180°.

Let's define N as the angle located at vertex N of the right triangle in the left side, we then can write:

2x + 90° + N = 180°

And we also can write the linear equation:

105° + 45° + N = 180°

Solving this one, we can find the value of N.

N = 180° - 45° - 105°  =30°

N = 30°

Replacing that in the equation with x we will get:

2x + 90° + 30°  =180°

2x = 180° - 90° - 30°

2x = 60°

x = 60°/2 = 30°

The value of x is 30°.

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I believe this is correct.

A is: -4, -6, 2

B is: -4, 6

Answer:

21x

Step-by-step explanation:

5x+14=19x

3x-5=-2x

-2x-19x=21x

The equation on how to find the volume is πr²h = 24

From the question, we have the following parameters that can be used in our computation:

Volume = 24 cubic feet

The volume of a cylinder can be calculated as

Volume = πr²h

Where

r = radius

h = height

Substitute the known values in the above equation, so, we have the following representation

πr²h = 24

Hence, the equation is πr²h = 24

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Answer:

215

Step-by-step explanation:

you add all three together and then divide  by three to get the average.

The perimeter of the rectangle is  4y + 6 (cm).

All four side lengths must be added up in order to get the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to do this task effectively. The formula for perimeter is perimeter=(length Plus width)2.

The diagram shows a rectangle. All measurements are in centimetres  an expression in terms of y, for the perimeter of the rectangle.

The perimeter of the rectangle is

2(y+3)+24

=2y + 6 + 2y = 4y + 6 (cm)

{ the perimeter:

2 *  width + 2 * Length}

The perimeter of the rectangle is  4y + 6 (cm).

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There is no sufficient evidence that we can use in order to substantiate the claim of the publisher,

The null hypothesis H0: p = 0.47

The alternative hypothesis is H1: p > 0.47

The question requires us to test the fact that more than 47 percent of the readers have their own personal computer. This is therefore the claim that is to be tested here.

There is no sufficient evidence to substantiate the claim because of the lack of certain details that would have been used to carry out the hypothesis test.

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Answer: 3800 + 15% =.....DUN DUN DUNNNN 3.800.15

Step-by-step explanation:

Answer:

Because that is how you move the decimal point multiplying by ten will move the decimal pin to and the power tells you how many times and the direction

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

Answer:

the answer would be 36.04,

Step-by-step explanation:

im gonna just leave this blank

The time period it will take a principal of $25000 to grow int $28500 at a rate of 4% is approximately 3 years

Compound interest is the interest that is calculated on the initial principal and also on the accumulated interest of previous periods. It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest.

In the given question, our data is;

The formula is given as

A = P(1 + r/n)^nx

The given expression is

m(n) = 25000(1 + 0.04/ 2)^2n

m(n) = 28500

28500 = 25000(1 + 0.04 / 2)^2n

Solving for n,

n = 3.3

n ≈ 3

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Answer:

Step-by-step explanation:

X=7

Answer:

35

Step-by-step explanation:

180 - 110 = 70

Arc DB= 70

70 / 2 = 35

Using the number line, the difference between 4 1/2 and 8 will come to -31/2.

A number line is a depiction of a graded straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.

Subtraction on a number line makes it much easier to subtract smaller values. When subtracting numbers from a number line, we must leap (move) to the left side of the number line.

Thus, moving to the left, 8 times from 4.5 will help us arrive at -3.5. See attached Number line.

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Answer:

Tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.

Step-by-step explanation:

Dado que un buzo se encuentra a 4000 metros de profundidad, si desciende 2000 metros para atrapar mantarrayas, para determinar a que profundidad del nivel del mar se encuentra se debe realizar el siguiente cálculo:

4000 - 2000 = X

6000 = X

Por lo tanto, tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.

The coordinates that can be applied to the equation y > 2 + 9x is the cartesian coordinate system

A system that identifies your precise location on a graph is the Cartesian coordinate system.  

This system can be used to graph a collection of points that will give your equations' solutions, which makes it handy. Each axis will have its own variable in the equations that are employed with this system.

The x-axis, a horizontal axis, and the y-axis, a vertical axis, are the two axes that make up the Cartesian coordinate system.

The variables x and y will be present in equations for lines in this system.

Hence the cartesian coordinate system is applicable for the equation given as y > 2 + 9x

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Answer:

£ 38

Step-by-step explanation:

If you take 500 divided by 22 you get 22.7272727272 or if you round 22.73

Then you take 864 divided by 22.73 and get 38.0114386274 the you round to 2 decimal places and get 38

Hope this helps

GeneralGranato777

Answer:

180

Step-by-step explanation:

2 squared is 4

3 squared is 9

4 x 9 x 5 = 180

Answer:

The answer is 40.8 m.

Step-by-step explanation:

To find the perimeter of the rectangle, use the formula P= 2([tex]l[/tex])+ 2([tex]w[/tex]). Plug in the information given in the question, and the equation will look like

P= 2(12m) + 2(8.4m)

Solve the equation, and the final answer will be 40.8 m.

Linear equations are mathematical equations that involve one or more variables. These equations can be solved by following a few simple steps:

Linear equations can be used to solve a wide range of mathematical problems and are an essential part of any mathematics curriculum.

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Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent.

[tex]6=2x-8 \\ \\ 2x=14 \\ \\ x=7[/tex]

Answer:

3.23, -1.23

Step-by-step explanation:

Draw the line y=1

See where it intersects x^2-2x-3

The x coordinates of the intersections are your answer