What is the inverse of the following function?
y= 2^x + 3

discr etemathematics deals with objects that can assume only distinct, separate values like integers. information technology needs separate values so as to be accepted

Final answer:

Discrete mathematics is crucial in Information Technology for creating efficient algorithms in cryptography, network communication, and software development, as well as for driving insights from data analysis.

Explanation:

Answer:

the first answer is 135

Step-by-step explanation:

Answer:

 [tex]arc\ lenght=\pi[/tex]≈[tex]3.14[/tex]

Step-by-step explanation:

You need to use the formula for calculate the arc lenght:

[tex]arc\ length=2\pi r(\frac{C}{360})[/tex]

Where "C"  is the central angle of the arc in degrees and "r" is the radius.

You know that the measure of the radius of the circle is 4 inches and the central angle is 45 degrees, then you can substitute into the formula [tex]arc\ length=2\pi r(\frac{C}{360})[/tex].

Therefore, you get that  the measure of the arc length is:

[tex]arc\ length=2\pi r(\frac{C}{360})\\\\arc\ length=2\pi (4in)(\frac{45\°}{360})[/tex]

[tex]arc\ lenght=\pi[/tex]≈[tex]3.14[/tex]

Answer:

Pi Inches

Step-by-step explanation:

Answer:

the 2 in 270,413 is in the thousandths place. The 2 in 419,427 is in the tenths place

Hopes this helps

Answer:

10,000

Step-by-step explanation:

I did the test

Answer:

The polynomial -gh⁴i + 3g⁵ is a binomial, since it has two terms

Degree of polynomial: degree of a polynomial is the term with highest of exponent.

Degree of binomial -gh⁴i + 3g⁵ = 6

1st term(-gh⁴i ) = (power of g = 1, power of h = 4, power of i = 1)

2nd term(3g⁵) = (power of g = 5)

the polynomial -gh⁴i + 3g⁵ is a 6 degree binomial.

Answer:

equation: (8-8) ÷ (0-6)

answer: 0

Step-by-step explanation:

Answer:

You want to leave a 15% tip on a meal that cost $16.25.

First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.

Second, you need to find out what 15% of your $16.25 meal cost is.This is always done by multiplying 0.15 by $16.25, or

0.15 x $16.25=$2.44.

So, the amount of tip you are going to leave is $2.44.

This makes the total cost of your meal (to write on your charge slip or other payment)

$16.25 + $2.44 = $18.69.

Answer:

$19.99

Step-by-step explanation:

16.25 + 3% tax + 20% tip

16.25 * 0.03 = .49

16.25 * .20 = 3.25

16.25 + .49 + 3.25 = $19.99

Answer:

I believe you, by the looking of it, I would do the same

Step-by-step explanation:

Answer:

- 15x² + 7x + 1

Step-by-step explanation:

Given

2x² - 9 - 17x² + 10 + 7x ← collect like terms

= (2x² - 17x² ) + 7x + 1

= - 15x² + 7x + 1

d. 128°

have a nice day!!

4029*26= 104754

Answer:104754

My answer is right.

Answer:

100,400,754

Step-by-step explanation:

Answer:0.5

Step-by-step explanation:4 divided by 5=0.8, 3 divided by 10=0.3

0.8-0.3=0.5

Answer:

1/2

Step-by-step explanation:

First you can make common denominators which will be

8/10-3/10 which equals 5/10

If you simplify 5/10 you will get 1/2

Answer:

proportion

Step-by-step explanation:

An equation that sets two fractions equal to each other is called a proportion. A proportion is a name we give to a statement that two ratios are equal. When two ratios are equal, then the cross products of the ratios are equal.

Final answer:

The equation can then be solved to find the value of 'm', representing the minutes of talk time. In this case, the answer is 68 minutes of talk time each month.

Explanation:

To find the minutes of talk time you use each month, we can set up an equation based on the given information. Let's assume that the number of minutes of talk time you use each month is represented by 'm'.

The total cost for all 6 months is $195.12, which is equal to the sum of the monthly costs. Each month, the cost of the cell phone plan is $23.70 for 700 minutes of talk time, plus an additional $0.06 per minute for each minute over 700 minutes. Additionally, to get email access, it costs 20% of the price for 700 minutes of talk time.

Based on this information, the equation is: 195.12 = 6(0.06m + 23.70 + 0.20(23.70))

To solve the equation, we can simplify it: 195.12 = 6(0.06m + 23.70 + 4.74)

195.12 = 6(0.06m + 28.44)

Divide both sides of the equation by 6, we get: 32.52 = 0.06m + 28.44

Subtract 28.44 from both sides of the equation, we get: 32.52 - 28.44 = 0.06m

4.08 = 0.06m

Divide both sides of the equation by 0.06, we get: m = 68

Therefore, you use 68 minutes of talk time each month.

Final answer:

After setting up the equation based on the total cost for 6 months, we calculate that the user talks for a total of 768 minutes each month. This includes the 700 minutes in the plan and an additional 68 minutes of talk time.

Explanation:

To solve for the number of minutes of talk time used each month, we first set up an equation based on the information given. The total cost for 6 months is $195.12 which includes the monthly plan cost, the additional cost per minute after 700 minutes, and the email cost which is 20% of the 700 minutes talk time plan.

The equation, therefore, is 195.12 = 6(0.06m + 23.70 + 0.20(23.70)), where m is the number of minutes used over 700. Let's solve the equation step-by-step:

Therefore, you use 68 minutes over the 700 included minutes, which means you use a total of 700 + 68 = 768 minutes of talk time each month.

Answer:

x ≈ 4.4 in

Step-by-step explanation:

The segment from the centre to the chord is a perpendicular bisector.

The third side of the right triangle = 7.4 ÷ 2 = 3.7

Consider the right triangle with legs 3.7 and 2.4 and hypotenuse x

Using Pythagoras' identity

x² = 2.4² + 3.7² = 5.76 + 13.69 = 19.45

Take the square root of both sides

x = [tex]\sqrt{19.45}[/tex] ≈ 4.4

Answer:

Surface Area: 2123.72

Volume: 9202.77

Density: 0.0078

Step-by-step explanation:

For a sphere, the height is the diameter.

Also we know the radius is half of the diameter.

Since height is 26, diameter is 26 as well. Thus, radius is half of 26, which is 13.

Formulas:

Surface area of sphere = 4πr^2

Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]

Density = mass/volume

Firstly, the surface area:

[tex]4\pi r^2\\=4\pi (13)^2\\=2123.72[/tex]

Next, the volume:

[tex]\frac{4}{3}\pi r^3\\=\frac{4}{3}\pi (13)^3\\\\=9202.77[/tex]

Lastly, density:

[tex]\frac{Mass}{Volume}\\=\frac{72}{9202.77}\\=0.0078[/tex]

*Note: all answers are given as is since no units were given

Answer:

The answer is SSS

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

Using the definition of n [tex]C_{r}[/tex] = n! / r ! (n - r) !

where n ! = n(n - 1)(n - 2) ........ × 3 × 2 × 1

9 [tex]C_{4}[/tex]

= 9 ! / 4 ! 5 ! ← cancel 5 ! on numerator/ denominator

= [tex]\frac{9(8)(7)(6)}{4(3)(2)(1)}[/tex]

= [tex]\frac{3024}{24}[/tex]

= 126

Answer:

126 mayihavebrainly

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=-8x&(1)\\4x-y=3&(2)\end{array}\right\qquad\text{put (1) to (2):}\\\\4x-(-8x)=3\\4x+8x=3\\12x=3\qquad\text{divide both sides by 12}\\x=\dfrac{3}{12}\to x=\dfrac{1}{4}\\\\\text{put the value of x to (1):}\\\\y=-8\left(\dfrac{1}{4}\right)=-2[/tex]

Answer:

x = 1/4 and y = -2

Answer:

(x+2) (x+6)

Step-by-step explanation:

x^2+8x+12

What 2 numbers multiply together to give you 12 and add together to give you 8

2*6 = 12

2+6 = 8

(x+2) (x+6)

Answer: (x+2) (x+6)

Step-by-step explanation: a p e x

What is your question

What is the question

Answer:

It is A for sure because all of the angles are acute so yes A

The correct answer is a

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y=\frac{3}{4}x-4[/tex]

This is a linear equation (the graph is a line)

To identify the graph find out the intercepts

Find out the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

For x=0

[tex]y=\frac{3}{4}(0)-4=-4[/tex]

The y-intercept is the point (0,-4)

Find out the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

For y=0

[tex]0=\frac{3}{4}x-4[/tex]

[tex]\frac{3}{4}x=4[/tex]

[tex]x=16/3=5.33[/tex]

The x-intercept is the point (5.33,0)

therefore

The graph in the attached figure

The graph of the linear function y = x 3/4–4 can be generated by understanding that '3/4' is the slope and '-4' is the y-intercept. This implies for every horizontal increase of 4 units, there's a vertical rise of 3 units. The function intersects the y-axis at -4.

The linear function in question, y = x 3/4–4, can be graphed by understanding how the terms within the equation shape the line. The term '3/4' in the equation is the slope of the line and '–4' is the y-intercept. The slope or the rate of change is less than 1 which means for every increasing step in 'x', 'y' increases by less of a step (3/4 of a step, in this case). The linear function intersects the y-axis at -4. Therefore, when you plot x and y values, keep in mind that for every rise of 3 on the vertical axis, there's an increase of 4 on the horizontal axis. Start by marking the y-intercept (0, -4) and use the slope (3/4) to find the next points. From the y-intercept, move 3 units up and 4 units to the right. Repeat this pattern to generate other points that lie on the line.

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Answer:

920

Step-by-step explanation:

Answer:The bottom rectangle is 15 x 20 = 300 square cm.

The top triangle is 1/2 x 20 x (8+8+15) = 1/2 x 20 x 31 = 1/2 x 620 = 310 square cm.

Total area = 300 + 310 = 610 square cms.

Answer: C. A general rule most people follow

Step-by-step explanation: A rule of thumb is a principle with broad application that is not intended to be strictly accurate or reliable for every situation.  

The term 'rule of thumb' refers to a general rule or principle that people often follow, based on practical experience and wisdom. It isn't universally true for all situations but serves as a useful guideline.

A rule of thumb generally refers to an option C, which is a general rule that people tend to follow, but it isn't necessarily universally true or applicable to every situation. It's a guideline or heuristic that helps simplify or solve problems, based on practical experience rather than theory.

For example, a common rule of thumb in cooking may be that 'one cup of uncooked rice serves two people'. However, this may vary depending on the individuals' appetites, age, and more.

So, from options given, a rule of thumb most closely aligns with 'C: A general rule most people follow'.

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Answer:

Y = 64°

Step-by-step explanation:

The internal angles of a triangle sum to 180°

So by subtracting the known angles from the angle sum you can find Y

Y = 180° - 37° - 79° = 64°

Answer:

64

Step-by-step explanation:

Add up the first two angles, 79+37=116

Subtract this from 180, 180-116=64

Theres your answer

ANSWER

EXPLANATION

The given equation is

[tex]4 {x}^{2} + 4 {y}^{2} = 64[/tex]

We divide through by 4 to obtain;

[tex]{x}^{2} + {y}^{2} = 16[/tex]

This can again be written as:

[tex]{x}^{2} + {y}^{2} = {4}^{2} [/tex]

This is the equation of a circle centered at the origin with radius 4 units.

The graph is shown in the attachment.

Answer:

Domain: [-4,4]

Range : [-4,4]

Step-by-step explanation:

Given equation is [tex]4x^2+4y^2=64[/tex].

Now we need to graph and find about what are domain and range of the given problem.

[tex]4x^2+4y^2=64[/tex]

divide both sides by 4

[tex]x^2+y^2=16[/tex]

[tex]x^2+y^2=4^2[/tex]

Which looks similar to the formula of circle

[tex]x^2+y^2=r^2[/tex]

that means it is a circle with radius 4. whose centre is at the origin.

From graph we can easily see that

Domain: [-4,4]

Range : [-4,4]

Let iron = x

There is 1.5 times the amount of zinc that there is iron, so you get zinc = 1.5x

There is 3 times as much copper as there is zinc, so 1.5 x 3 = 4.5, so copper equals 4.5x

Now all three need to equal the total weight of 210:

X + 1.5x + 4.5x = 210

Simplify:

7x = 210

Divide both sides by 7:

x = 210 /7

x = 30

Now you have a value for x, you can solve for the amount of each material.

Iron = x = 30 g

Zinc = 1.5x = 1.5(30) = 45 g

Copper = 4.5x = 4.5(30) = 135g

There is 45 g of zinc.

Let iron =x

There is 1.5 times the amount of zinc then there is iron, so zinc = 1.5x

There is 3 times as much copper then there is zinc, so 1.5*3=4.5, so copper equals 4.5x

Hope this helps

Given a term in a geometric sequence and the common ratio find the first five terms, the explicit formula, and the recursive formula. Given two terms in a geometric sequence find the 8th term and the recursive formula. Determine if the sequence is geometric. If it is, find the common ratio.

Answer:

$47.52

Step-by-step explanation:

First find the area in square inches. -  6*11*8=528

Then multiply the cost per square inch by the area -  528*9=1452

Convert the number into dollars -  $14.52

Answer:

C

Step-by-step explanation:

Calculate the SA.

[tex]SA = 2(6*11)+2(11*8)+2(6*8) \\ \\ SA=2(66)+2(88)+2(48) \\ \\ SA=132+176+96 \\ \\ SA=404[/tex]

Now since we know it costs $0.09 per square inch, we can multiply 0.09 by the SA.

[tex]404*0.09=36.36[/tex]

It costs $36.36 in all.