What is the domain of the exponential function y = 8^x+2?

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]6x-2y=25\implies -2y=-6x+25\implies y=\cfrac{-6x+25}{-2} \\\\\\ y=\cfrac{-6x}{-2}+\cfrac{25}{-2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{3}x-\cfrac{25}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}[/tex]

App inventor's random integer block test is sufficient for app inventor's prng . but to increase our confidence in app inventor's prng we can do other tests like random fraction test and random set speed test.

The Coin Flip Experiment app allows you to run experiments aimed at determining how "good" the App Inventor PRNGs are. The app allows the user to "flip a coin" her N times and the results are displayed. They should record and count the results and calculate the average head percentage. The expectation of should reach 50% on average as N increases.

To properly test an App Inventor PRNG, you must test both the Random Integer and Random Fraction blocks along with the Random Fraction and Random set speed to blocks. Create dice simulations to get better than 50/50 predictions and reuse dice simulators for all combinations of different App Inventor random blocks. If such a combination yields the same results, then you can be confident that her PRNG in App Inventor provides a good model of randomness from all angles.

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According to the circle, if 8 points in a plane are chosen to lie on or inside a circle of diameter 2cm then show that the distance between some two points will be less than 1cm.

Circle:

Circle refers the round shape that has no corners or line segments. And it is a closed curve shape in geometry.

Given,

Eight points are in/on the circle of radius 1cm.

Here we need to show that distance between some two points is less than 1cm.

Let us consider the points be p1,p2,…,p8

Noe, we have to place the point p8 at the center of the circle and placing other seven points on the periphery of the circle, at equal distances

Here we have to remember that we are required to prove that there are at least a pair of points whose distance from each-other is less than 1cm.

So, now we have one point at the center and seven at the periphery of the circle.

Based on this the heptagon which will be formed by joining the seven points on the circle will have all its side equal in length.

Then the length of the side of the heptagon is less than 2π/7 cm which is less than 1cm.

Therefore, if we replace the position of any point then too we get a pair of points whose distance from each-other is less than 1cm.

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Answer:

multiply

Step-by-step explanation:

2345567 in the subtract 578431111

You have a summer job that pays time and a half for overtime. That means if you work more than 40 hours in a week, your hourly wage for the extra hours is 1.5 times your rate of $12 per hour.

If you work for 47 hours you will get paid $606.

Define overtime. What does overtime pay mean?

The amount of time spent working past the regular working day is known as overtime. The word is also applied to the compensation for this period of extra time.

Employees covered by the Act must receive overtime compensation, unless they are exempt, at an overtime rate that is at least time and a half their usual rates of pay for hours worked beyond 40 in a workweek.

Solution Explained:

Given,

Normal rate = $12 per hour

Overtime rate = 1.5 times more than the normal rate per hour
                       = (15 X 12) / 10 = $18 per hour

First we will see the normal total pay for 40 hours

= 40 X 12 = $480

The overtime pay = 7 X 18 = $126

Therefore, the pay for 47 hours is = 126 + 480 = $606

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Answer:

y = 3/4 x + 8

Step-by-step explanation:

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

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

y - 5 = 3/4 x + 3

Y = 3/4 x + 3 + 5

y = 3/4 x + 8

Answer:

(-4,5) x = -4 and y = 5

use y = mx + c formula

so 5 = 3/4 (-4) +c

5 = -3 + c

5 + 3 = c

so c = 8

y = 3/4x + 8

Answer:

This is a function y = mx + b:

So, the function would be y = 20x + 50, where y is the dollar amount after x weeks and x cannot be greater than 12.

Answer:

50%

Step-by-step explanation:

[tex]\frac{26}{52}[/tex] x 100 = 50

Answer:

-1/2(x - 12). Hope this helped out for you!

The theorem (A) CPCTC represents the given condition of the triangle.

According to the formula CPCTC, which stands for "corresponding portions of congruent triangles are congruent," if two or more triangles are congruent, their corresponding angles and sides must also be congruent.

When demonstrating the congruence of triangles or other shapes, the term CPCT is employed.

When a student is asked to demonstrate that two angles or two sides are congruent, CPCTC is frequently employed at the end of the proof or close to it.

So, in the given triangle:

The angles are bold and the lines are not bold.

This represents that it is proved first that the angles are congruent.

And through CPCTC, we are concluding that the sides of the triangles are also congruent.

Therefore, the theorem (A) CPCTC represents the given condition of the triangle.

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The total cost for Charlie to make 40 copies of flyers is $6

Given the fact that 25 copies of flyers is costing him $3.75, we will then need to find the cost of each copy of the flyer. The figure is calculated using unit rates as follows:

25x = 3.75

    x = 3.75/25

    x = 0.15

so each copy of a flyer will cost him $0.15

To make 40 copies of flyers, Charlie will need to spend:

$0.15 × 40 = $6

So the amount of money Charlie will have to spend in order to make a copy of 40 flyers is $6

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Answer: Charlie will pay 6$.

Step-by-step explanation:

Answer: [tex]2^{-3}[/tex]

Step-by-step explanation:

[tex]4^{-6} *4^4*(2^3*2^{-4} )^{-1}\\=(2^2)^{-6}*(2^2)^4*(2^{3-4})^{-1}\\=2^{-12}*2^8*(2^{-1})^{-1}\\=2^{-12+8}*2^1\\=2^{-4}*2^1\\=2^{-4+1}\\=2^{-3}[/tex]

Answer:

Clara will call 1 more person than Toby

Step-by-step explanation:

Every 10 phones call is 4 people so 40 phone calls will be 16 people

If every 8 phones calls is 3 people then 40 phones calls will be 15 people

By 1 person

Sorry about previous answer I read question wrong

Hopes this helps please mark brainliest

Answer:

if times 40 it is clara by 40

Step-by-step explanation:

Answer:

121; 122

Step-by-step explanation:

x

x+1

3x-2(x+1) = 119

3x-2x-2 = 119

x = 119 +2

x = 121

x+1 = 122

The correlation between variables x and y is 0.50 . The true option is option (c) .

that's the regression coefficient is positive for given bivariata.

Correlation: Correlation is a statistical measure of how linearly two variables are related (meaning they change together at a constant rate). The

sample correlation coefficient r quantifies the strength of the relationship.

Correlation Coefficient: The Correlation Coefficient formula is used to examine the strength of the relationship between data. The formula returns a value between -1 and 1.

Here:

Pearson's correlation coefficient is denoted by "r" and is

r = (n∑xy - ∑x∑y )/√( n ∑x² - (∑x )² ) ( √ n∑y² - (∑y)²)

We have given that correlation between x and y is 0.50.

cor(x,y) = √r^2 => √r^2 = 0.50 => r ^2 = (0.50)^2

=> r^2 = 0.25 > 0 but less than 0.50 ---( 1)

Regression coefficient is the constant "b" in the regression equation that gives the change in the value of the dependent variable equal to the unit change in the independent variable.

Symbolically it can be expressed as:

bₓᵧ= r σ ₓ /σ ᵧ

where x and y are correlated

σ ₓ --> standard deviation of X

σᵧ ---> standard deviation of y

We know that standard deviations is square root value of variance of observations. we also know square root any quantity is always positive or zero.

Using the above fact about standard deviations and correlation coefficient (r) is also positive we see that bₓᵧ is postive.

Hence, Regression cofficient is positive.

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The polynomial function to find the volume of the tray is [tex]4x^{3} -30x^{2} +50x[/tex] cubic inches.

According to the question,

We have the following information:

Christina cuts 4 squares with side length x inches from the corners of a 5 inch by 10 inch cardboard rectangle. She folds the remaining cardboard to make a tray that is x inches high.

Now, the length of the tray will be (10-2x) inches and the breadth of the tray will be (5-2x) inches.

Volume of tray = length*breadth*height

Volume of tray = (10-2x)(5-2x)x

Volume of tray = x(50-20x-10x+4[tex]x^{2}[/tex])

Volume of tray = x(4[tex]x^{2}[/tex]-30x+50)

Volume of tray = [tex]4x^{3} -30x^{2} +50x[/tex] cubic inches

Hence, the polynomial function to find the volume of the tray is [tex]4x^{3} -30x^{2} +50x[/tex] cubic inches.

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Answer:

Step-by-step explanation:

34567

The value of x in the intersecting chords SP and PB is determined as 3.52.

The value of x is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

arc SB =  m∠SPB

From the diagram, we have arc SB = 78⁰

m∠JNK = 78 (interior angles of intersecting secants)

23x - 3 = 78

23x = 78 + 3

23x = 81

x = 81/23

x = 3.52

Thus, the value of x in the intersecting chords SP and PB is determined as 3.52.

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For many of the rolls die, the long run relative frequency of a number less than 3 landing face up is 1/3.

Given that,

Only two integers (1 and 2) are smaller than 3, hence their relative frequency will be 2/6=1/3.

The best way to interpret the data is thus,

For many rolls of the die, the long- run relative frequency of a number less than three landing face up is1/3.

Hence option A is correct which is for many of the rolls die, the long run relative frequency of a number less than 3 landing face up is 1/3.

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Answer: 74

Step-by-step explanation:

Lets say the four even numbers are 2x - 4, 2x - 2 , 2x , 2x + 2

The sum would be

8x - 4 = 284

x = 36

Therefore, the smallest number is 2 * 36 - 4 = 68

The consecutive even numbers are 68, 70, 72, 74 and 74 is the largest.

Answer:

-2.655 < -√4

Step-by-step explanation:

-√4 = -2

-2.655 < -2

I assume that's what the question is asking for?

Answer:

2j

Step-by-step explanation:

30k-30k = 0

0 + 2j = 2j

The hour hand is 2.70 m long and minute hand is 4.50m long with mass of 60 kg and 100 kg. Therefore. Total angular momentum is 1.2 kgm²/s.

Mass of Hour hand = 60 kg

length of hour hand = 2.70 m

Now,

Moment of inertia of the hour hand is given by:

                         I = mL²/ 3

                         I = 60(2.70)²/3

                         I = 145.8 kgm²

Now,

The angular speed of hour hand is:

                           ω = 2π/ T

                          ⇒ ω = 2π / 12×3600

                          ⇒ ω = 1.45 × 10⁻¹ rad/s

Now,

Angular momentum is given as:

L₁ = Iω = 145.8 × 1.45× 10⁻¹

           = 0.021 kgm²/s

Mass of minute hand = 100 kg

length of minute hand = 4.50 m

Now,

Moment of inertia of the minute hand is given by:

I = mL²/ 3

I = 100(4.50)² /3

I = 675 kgm²

Now,

The angular speed of minute hand is

ω = 2π/ T

ω = 2π / 60× 60

ω = 1.74 × 10⁻³ rad/s

Now,

Angular momentum is given as:

L₂ = Iω = 675 × 1.74 ×10⁻³

           = 1.178 kgm²/s

Total angular momentum is given as

L = L₁ + L₂

  = 0.021 + 1.178

  = 1.2 kgm²/s

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Answer:

=========================

The given translates as:

Use given x - intercepts to get the equation:

Use the coordinates of P to find the value of a:

The equation of this parabola is:

Answer:

[tex]\textsf{Intercept form}: \quad y=\dfrac{3}{2}(x+4)(x+10)[/tex]

[tex]\textsf{Standard form}: \quad y=\dfrac{3}{2}x^2+21x+60[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6 cm}\underline{Intercept form of a quadratic equation}\\\\$y=a(x-p)(x-q)$\\\\where:\\ \phantom{ww}$\bullet$ $p$ and $q$ are the $x$-intercepts. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}[/tex]

If the x-intercepts are (-4, 0) and (-10, 0) then:

Substitute the values of p and q into the formula:

[tex]\implies y=a(x-(-4))(x-(-10))[/tex]

[tex]\implies y=a(x+4)(x+10)[/tex]

To find a, substitute the given point on the curve P (-6, -12) into the equation:

[tex]\implies -12=a(-6+4)(-6+10)[/tex]

[tex]\implies -12=a(-2)(4)[/tex]

[tex]\implies -12=-8a[/tex]

[tex]\implies a=\dfrac{-12}{-8}[/tex]

[tex]\implies a=\dfrac{3}{2}[/tex]

Substitute the found value of a into the equation:

[tex]\implies y=\dfrac{3}{2}(x+4)(x+10)[/tex]

Expand to write the equation in standard form:

[tex]\implies y=\dfrac{3}{2}(x^2+14x+40)[/tex]

[tex]\implies y=\dfrac{3}{2}x^2+21x+60[/tex]

The value of h(x)= 2x- 36.

What is function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x)=[tex]\frac{1}{2x}[/tex]-3

Now, subtract 6 from the input of f to create a new function​ g

g(x)= [tex]\frac{1}{2x}[/tex]-3 -6

g(x)= [tex]\frac{1}{2x}[/tex] -9

and, multiply the input of function g by 4

h(x)= 4([tex]\frac{1}{2x}[/tex] -9)

h(x) = 2x- 36

Hence, the value of h(x)= 2x- 36.

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Answer:

I can't see the graph anywhere.

Step-by-step explanation:

In order to determine if your friend has enough money to buy all the items, the total cost of the items have to be determined. The total cost is the sum of all the items bought.

Total cost = total cost of the first three items + total cost of the second three + total cost of the last three

Total cost = (3 x 15.99) + (3 x 10.40) + (4 x 4.50)

Total cost = $47.97 + $31.20 +18

Total cost = $97.17

An increase in temperature would be represented with a positive number. While, a decrease in temperature would be represented with a negative number. The final temperature can be determined by adding the temperature increase and decease together.

Final temperature = increase in temperature - decrease in temperature

Final temperature = 32 - 14 = 18 degrees

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Answer:

  $13

Step-by-step explanation:

You want to know how much more Rahul's investment of $1100 at 3 3/8% compounded quarterly for 8 years is worth than Caleb's investment of $1100 at 3 1/2% compounded daily for 8 years.

The amount in Rahul's account is given by ...

  A = P(1 +r/n)^(nt) . . . . . P invested at rate r compounded n times per year

  A = $1100(1 +0.03375/4)^(4·8) = $1100(1.0084375^32) ≈ $1439.33

The same formula is used for Caleb's account, but with different numbers.

  A = $1100(1 +0.0325/365)^(365·8) ≈ $1426.61

The difference in account values is ...

  Rahul's - Caleb's = $1439.33 -1426.61 = $12.72 ≈ $13

Rahul will have about $13 more in his account.

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