Which is a stretch of an exponential decay function?
f(x) =
O f(x) =
O Rx) =
O f(x)=

Answer:

Exponents are important in math because they allow us to abbreviate something that would otherwise be really tedious to write. If we want to express in mathematics the product of x multiplied by itself 7 times, without exponents we'd only be able to write that as xxxxxxx, x multiplied by itself 7 times in a row.

Step-by-step explanation:

Answer:

The right answer is :

(a) 23,200

(b) 24,514

(c) 22,926

Step-by-step explanation:

According to the question,

[tex]P_1 = 12000[/tex]

[tex]P_2 = 20000[/tex]

[tex]P_{sat}=80000[/tex]

(a)

We know that the arithmetic growth formula will be:

⇒ [tex]P=Pi+K\times t[/tex]...(1)

here,

⇒ [tex]K=\frac{P_2-P_1}{\Delta t}[/tex]

        [tex]=\frac{20000-12000}{25}[/tex]

        [tex]=\frac{80000}{25}[/tex]

        [tex]=320[/tex]

On putting the values in equation (1), we get

⇒ [tex]P_{2020}=20000+320\times 10[/tex]

             [tex]=23,200[/tex]

(b)

The geometric growth formula will be:

⇒ [tex]P=ln(Pi)+K\times t[/tex]

here,

⇒ [tex]K=\frac{lnP_2-lnP_1}{\Delta t}[/tex]

         [tex]=\frac{ln(20000)-ln(12000)}{25}[/tex]

By putting the values of general log, we get

hence,

⇒ [tex]P_f=ln(20000)+0.0204\times 10[/tex]

         [tex]=10.107[/tex]

[tex]P_{2020}=e^{10.107}[/tex]

          [tex]=24,514[/tex]

(c)

⇒ [tex]P_f=P_{sat}-(P_{sat}-P_i)e^{-K\times t}[/tex]

or,

⇒ [tex]K=-\frac{1}{\Delta t}ln(\frac{P_{sat}-P_2}{P_{sat}-P_1} )[/tex]

from here, we get

        [tex]=0.005[/tex]

hence,

⇒ [tex]P_{2020}=80000-(80000-20000)e^{-0.005\times 10}[/tex]

             [tex]=80000-(60000)e^{-0.005\times 10}[/tex]

             [tex]=22,926[/tex]

Answer:

Just hoping this helps.

Answer:

150

Step-by-step explanation:

Remark

The exterior angle = the sum of the two given interior angles. The first job is to solve for x and then use that to find the exterior angle.

Equation

83 + 6x + 7 = 15x              

Solution

Combine like terms

90 + 6x = 15x        Subtract 6x from both sides.

        6x     6x

90 = 9x                 Divide both sides by 9

90/9 = 9x/9

x = 10

Now the exterior angle = 15x

Exterior angle = 15*10

Exterior angle = 150

Answer:

b and c

Step-by-step explanation:

x=5 so its basically 1+5=6 and 7-5=2

Answer:

Step-by-step explanation:

A linear equation can be written in the form

y = mx+b.

y = x² is not linear.

Answer:

Hence, the expected value of the distance north from city centre archaeologists will have to travel to find the temple is [tex]10[/tex] miles and the standard deviation of that distance is [tex]6[/tex] miles.

Step-by-step explanation:

Given :

Moment generating function.

[tex]m_D(u)=E(e^{uD})=e^{18u^2+10u}...(1)[/tex]

Any two functions can not have the same moment generating function.

The general moment generating function is :

[tex]m_D(u)=E(e^{uD})=e^{\frac{1}{2}\sigma^2u^2+\mu u}...(2)[/tex]

(a)

Now, compare the equation [tex](1)[/tex] and [tex](2)[/tex] we get,

[tex]\mu=10[/tex]

Therefore, the expected value of the distance north from city centre archaeologists will have to travel to find the temple is [tex]10 miles.[/tex]

(b)

Now, compare the equation [tex](1)[/tex] and [tex](2)[/tex] we get,

[tex]\frac{1}{2}\sigma^2=18[/tex]

[tex]\Rightarrow \sigma^2=18\times 2=36[/tex]

[tex]\Rightarrow \sigma=\sqrt{36}=6[/tex]

Therefore, the standard deviation of that distance is [tex]6[/tex] miles.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{x +2}{4}=8}[/tex]

[tex]\large\textsf{MULTIPLY 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{x +2}{4}\times4=8\times4}[/tex]

[tex]\large\textsf{CANCEL out: 4}\times\large\textsf{4.}[/tex]

[tex]\large\textsf{KEEP: 8}\times\large\textsf{4 because it helps you solve for x}[/tex]

[tex]\mathsf{8\times4=\bf 32}[/tex]

[tex]\large\text{New equation: \textsf{x + 32 = \bf 32}}[/tex]

[tex]\large\textsf{x + 2 = 32}[/tex]

[tex]\large\textsf{SUBTRACT 2 to BOTH SIDES}[/tex]

[tex]\mathsf{x +2-2=32-2}[/tex]

[tex]\large\textsf{CANCEL out: 2}-\large\textsf{2 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 32}-\large\textsf{2 because that helps you solve for x}[/tex]

[tex]\large\textsf{New EQUATION: \mathsf{x = 32 - 2}}[/tex]

[tex]\mathsf{x = 32 - 2}[/tex]

[tex]\large\textsf{Simplify above and you have your result to this equation}[/tex]

[tex]\mathsf{32-2=\bf 30}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x =30}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

1. 2,555

2. 23.25

Step-by-step explanation:

1. 5+10+20+...

S9 = 5(2^9-1)/(2-1)

= 5(511) = 2,555

2. 12+6+3+1.5+0.75 = 23.25

Answer:

Step-by-step explanation:

since 3 is outside the parenthesis (n + 2) you multiply the 3 by the n and the 2 and

3n + 6

next subtract the 6 and add the 6 to the other side

3n - 6 = 6

3n = 6

n = 2

Answer:

1.

ST=23

RU=8

SV=5

SU=5+5=10

2.

24x-19=16x+13

24x-16x=13+19

8x=32

x=32/8

x=4

3.

8x-37=5x+17

8x-5x=37+17

3x=54

x=54/3

x=18

4.

4x+19=6x-7

19+7=6x-4x

2x=26

x=26/2

x=13

MN=4×13+19=71

5.

9x-15=7x-1

9x-7x=15-1

2x=14

x=14/2

x=7

CD=7×7-1=48

6.

3x+4=5x-16

16+4=5x-3x

2x=20

x=20/2

x=10

now

JL=3×10+4+5*10-16=68

7.4x+4=7x-17

17+4=7x-4x

3x=21

x=21/3

x=7

again

5y-31=2y+5

5y-2y=31+5

3y=36

y=36/3

y=12

now.

PQ:5×12-31=29

QR:2×12+5=24+5=29

PS:4*7+4=32

SR:7*7-17=32

PT:6*7-2*12=18

Answer:

Randomly selecting a six of diamonds - 1 / 52

Randomly selecting a 7, 8, 9 or 10 - 4 / 13

Step-by-step explanation:

There is only 1 six of diamonds in a standard deck of cards. There are 52 cards in a deck, thus the probability of pulling a six of diamonds is 1 in 52.

There are 4 of each card in a deck. so they are 4 7's, 4 8's. 4 9's and 4 10's. And there are a total of 52 cards in a deck. So the probability of pulling a 7,8,9 or 10 are 4 + 4 + 4 + 4 in 52

4 + 4 + 4 + 4 = 16

16 / 52 simplified is 4 / 13 Therefore the is a 4 in 13 chance of pulling a 7 8 9 or 10

The other ones are correct

Answer:

50

Step-by-step explanation:

base x height is the area of a parallelogram

Answer:

28.83

Step-by-step explanation:

Answer:

a = 7

b = 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

in a 45-45-90° triangle, the length of legs to hypotenuse is 1 : [tex]\sqrt{2}[/tex]

To find the total cost you need to multiply the hourly rate by the number of hours they work and add the fixed fee.

C = 17h + 15

Answer:

A. 130°

Step-by-step explanation:

Answer:130

Step-by-step explanation:

I just finished the quiz :)

14.80 is the answer

1 1

13.95

95

80

1 4

Answer:

B

Step-by-step explanation:

Answer:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form

x² + y² + 2x - 2y - 7 = 0

Step-by-step explanation:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form   \Expand graphing form\

(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0

Rearrange

x² + y² + 2x - 2y - 7 = 0

A. Right triangles.

B. Height of 16cm with bases 20cm

C. 320

D.?

Answer:

85 stickers

Step-by-step explanation:

y - 36 - 23 = 26

y - 59 = 26

y - 59 + 59 = 26 + 59

y = 85

Bill have to start with 85 stickers.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given that Bill sold 36 stickers on the first day and 23 on the second day. He had 26 stickers left at the end of the second day.

Then the equation would be;

y - 36 - 23 = 26

y - 59 = 26

Subtract 59 from both the sides;

y - 59 + 59 = 26 + 59

y = 85

Hence, Bill have to start with 85 stickers.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Answer:

Kilo —> 1×10³ grams

nano —> 0.000000001 meters

micro —> mean " one millionth"

centi —> 0.01 liters

The answer is b          

saddsadsadas

Answer:

B

Step-by-step explanation:

Cause he added 24.76 more pounds to the 3.6 pounds. So you can take 24+3=27 and you might think C, but 0.76+0.6 that equals more than 1, so 27+1=28, and B has 28 as its answer, so its B

B

Answer:

5.831

Step-by-step explanation:

Distance between both given points=Lenght=5.831