Help plz I don’t rlly know

Answer:

[tex](a)\ k(r) = \ln(1+r)[/tex]

[tex](b)\ r(T_2) = 2^{1/T_2}-1[/tex]

[tex](c)\ T_2(k) = \frac{\ln(2)}{k}[/tex]

Step-by-step explanation:

Given

[tex]y(t) = y_0e^{kt}[/tex]

[tex]y(t) = y_0(1+r)^t[/tex]

[tex]y(t) = y_02^{t/T_2}[/tex]

Solving (a): k(r)

Equate [tex]y(t) = y_0e^{kt}[/tex] and [tex]y(t) = y_0(1+r)^t[/tex]

[tex]y_0e^{kt} = y_0(1+r)^t[/tex]

Cancel out common terms

[tex]e^{kt} = (1+r)^t[/tex]

Take ln of both sides

[tex]\ln(e^{kt}) = \ln((1+r)^t)[/tex]

Rewrite as:

[tex]kt\ln(e) = t\ln(1+r)[/tex]

Divide both sides by t

[tex]k = \ln(1+r)[/tex]

Hence:

[tex]k(r) = \ln(1+r)[/tex]

Solving (b): r(T2)

Equate [tex]y(t) = y_02^{t/T_2}[/tex] and [tex]y(t) = y_0(1+r)^t[/tex]

[tex]y_0(1+r)^t = y_02^{t/T_2}[/tex]

Cancel out common terms

[tex](1+r)^t = 2^{t/T_2}[/tex]

Take t th root of both sides

[tex](1+r)^{t*1/t} = 2^{t/T_2*1/t}[/tex]

[tex]1+r = 2^{1/T_2}[/tex]

Make r the subject

[tex]r = 2^{1/T_2}-1[/tex]

Hence:

[tex]r(T_2) = 2^{1/T_2}-1[/tex]

Solving (c): T2(k)

Equate [tex]y(t) = y_02^{t/T_2}[/tex] and [tex]y(t) = y_0e^{kt}[/tex]

[tex]y_02^{t/T_2} = y_0e^{kt}[/tex]

Cancel out common terms

[tex]2^{t/T_2} = e^{kt}[/tex]

Take ln of both sides

[tex]\ln(2^{t/T_2}) = \ln(e^{kt})[/tex]

Rewrite as:

[tex]\frac{t}{T_2} * \ln(2) = kt\ln(e)[/tex]

[tex]\frac{t}{T_2} * \ln(2) = kt*1[/tex]

[tex]\frac{t}{T_2} * \ln(2) = kt[/tex]

Divide both sides by t

[tex]\frac{1}{T_2} * \ln(2) = k[/tex]

Cross multiply

[tex]kT_2 = \ln(2)[/tex]

Make T2 the subject

[tex]T_2 = \frac{\ln(2)}{k}[/tex]

Hence:

[tex]T_2(k) = \frac{\ln(2)}{k}[/tex]

Answer:

107 TEAMS

Step-by-step explanation:

1716/16=107

Answer:

yeaa this is hard but i will help u if i knew what the answer was srry ma g

Step-by-step explanation:

Answer:

Complete y = Mx + b

Step-by-step explanation:

Answer:

The first one is 145 in^2 and the other is 250 in^2

Step-by-step explanation:

For the first one you have to find the base first so 5*5=25, then you find the area of the other faces and since theres 4 of them dont bother diving them by 2 and just do it twice, so the faces would be 120 in^2 in all add it together and you get 145

For the second one its the same thing but instead of a square base its a triangle so theres only 3 faces. 8*10 = 80/2 =40, 2 of the faces are 140 in all and to find the last one just 14*10=140/2=70 and you add them together and get 250

Answer:

11.31

Step-by-step explanation:

I'm assuming you're looking for the length of each side, 11.31 is the answer

Answer:

JK = 21 ft

Step-by-step explanation:

To find JK = x, apply Trigonometry function.

Reference angle = 65°

Opposite side = JK = x

Adjacent side = KL = 10 ft

Apply TOA:

Tan 65° = Opp/Adj

Tan 65° = x/10

Multiply both sides by 10

10*Tan 65° = x

21.4450692 = x

x = 21 ft (nearest feet)

Answer:  It is 18

Step-by-step explanation:   Well because it is the same as the other side.

Solve  for  the  unknown  side   by  applying  the  Triangle  Angle‐Bisector  Theorem.

[tex] \rightarrow\sf{\frac{25}{15}=\frac{s}{18}\rightarrow{15s}=25(18)}[/tex]

[tex] \rightarrow\sf{s=\frac{25(18)}{15}}[/tex]

[tex] \rightarrow\sf{s={\frac{[(5)(5)][(2)(3)(3)]}{(3)(5)}}}[/tex]

[tex]\rightarrow\sf{s=(5)(2)(3)=30}[/tex]

[tex]\rightarrow\sf{s=20-r=20-12={\color{magenta}{8}}}[/tex]

[tex]\large{—————————————————————}[/tex]

#CarryOnMath⸙

✍Zenitsu2

Answer:

Zamir 75%

Caleb 72%

Rosa 76%

Work

Zamir

.75=75%

75*40=3000

3000/ 100= 30

Zamir got 30 out of 40 questions right

Caleb

30-12=18

Caleb got 18 out of 25 questions right now find percent

18*100=1800

1800/ 25= 72

Caleb got 72%

Rosa

18+1=19

Rosa got 19 out of 25 questions correct now find percent

19*100=1900

1900/ 25=76

Rosa got 76%

Answer: I only have an answer for the first question, but I think its true .

I'm not sure though so I would clarify it .

Step-by-step explanation:

The reason why I think its true because, 8.4 is also equal to 8.40 . Also, if 8.4 was the answer to something and you put: 8.40 you would still be right .

Hope you get this right!

that is the equation

9514 1404 393

Answer:

  k = 8

Step-by-step explanation:

A slope of 3 means that y increases by 3 when x increases by 1.

The second point (2, k) has an x-value (2) that is 1 more than the x-value (1) of the first point (1, 5). This means the y-value (k) of the second point (2, k) will be 3 more than the y-value (5) of the first point (1, 5).

  k = 5 + 3 = 8

Step-by-step explanation:

missing where ?

I guess you mean that there is one element missing between 51 and 33 (based on the readable answer options).

if that is true, then the missing element is 42.

the difference between 60 and 51 is 9.

the difference between 51 and 33 is 18.

if there is an engender missing in between 51 and 33, then it is logical to put it in the middle cutting the interval of 18 in half to 2 times 9. which is also supported by the first interval between 60 and 51 (9).

so, it would be 51 -9 = 42

Answer:

no

Step-by-step explanation:

no no no no no no no no no no no no no no no no no no no

Answer:

The correct answer is "0.0842".

Step-by-step explanation:

Given:

X = 5

By using the Poisson's distribution formula, we get

The probability will be:

⇒ [tex]P(x=2)=\frac{\lambda^x.e^{-\lambda}}{x!}[/tex]

By substituting values, we get

                   [tex]=\frac{(5)^2\times e^{-5}}{2!}[/tex]

                   [tex]=\frac{25\times e^{-5}}{2!}[/tex]

                   [tex]=0.0842[/tex]  

Answer:

-10,485,760

Step-by step:

you have to find the pattern which in this case every other positive number is multiplied by 4, as well as the negatives which is multiplied by 4 aswell.

When you go through writing down every number the 22nd one is -10,485,760

Answer:

thats is the answer write it yourself and learn math

[tex] \frac{dr}{dt} = 6.79 \: \frac{m}{s} [/tex]

Step by Step Explanation:

The area a is defined as

[tex]a = \pi {r}^{2} [/tex]

Now take derivative of the above expression with respect to time:

[tex] \frac{da}{dt} = 2\pi r \frac{dr}{dt} [/tex]

Solving for dr/dt, we then get

[tex] \frac{dr}{dt} = \frac{1}{2\pi r} \frac{da}{dt} [/tex]

Note that da/dt = 900 m^2/s and when the area of the oil slick is 1400 m^2, the radius r is r = √(1400/π) = 21.1 m. Therefore,the rate at which the radius is increasing dr/dt is

[tex] \frac{dr}{dt} = \frac{1}{2\pi(21.1 \: m)}(900 \frac{ {m}^{2} }{s} ) = 6.79 \frac{m}{s} [/tex]

Answer:

6.7cm

Step-by-step explanation:

Given data

Volume= 48cm^3

Height= 10cm

The expression for the volume of cone is

Volume= 1/3πr^h

Substitute

48= 1/3*3.142*r^2*10

48= 10/9.426*r^2

cross multiply

48*9.426= 10r^2

452.448= 10r^2

divide both sides by 10

452.448/10= r^2

45.2448= r^2

square root both sides

r= √45.2448

r= 6.7cm

Hence the radius is 6.7cm

Answer:

2.6 hours

Step-by-step explanation:

75+85

160x/160= 416/160

=2.6

Answer:

As the calculated  χ² = 1.23  is less than the critical region  χ²≥ χ²(0.05,9)=  16.92 ,Staples can conclude that demands for these two types of computers are independent  at the 0.05 level of significance.

Step-by-step explanation:

As we have to test the independence of the two categories the chi square of independence test is applied.

Let the null and alternate hypotheses be

H0 :The demand for each type of computers is independent

against the claim

Ha: The  demand for each type of computers is not independent i.e they are associated.

The significance level alpha is chosen to be 0.05

The critical region for alpha =0.05 and (4-1)(4-1) = 3*3 =9 d.f is

χ²≥ χ²(0.05,9)=  16.92

Actual Data

                  low          med-low       med-high          high       Total

low             4                15                    14                     3         36

med-low  6                 18                    18                    23        65

med-high 13                 17                   10                     17         57

high          7                  15                  15                      10          47      

Total       30                65                 57                     53         205        

Expected Frequencies

low- low = 30*36/205= 5.27

low- med.low = 65*36/205 = 11.41

low- medium high = 57*36/205= 10.009

low- high = 53*36/205 =9.31

medium low- low = 30*65/205 = 9.51

medium low- med.low = 65*65/205= 20.61

medium low- medium high = 57*65/205= 18.073

medium low- high = 53*65/205= 16.80

medium high- low = 30*57/205= 8.34

medium high- med.low = 65*57/205= 18.07

medium high- medium high = 57*57/205= 15.85

medium high- high = 53*57/205= 14.74

high- low = 30*53/205= 7.76

high- med.low = 65*53/205= 16.80

high- medium high = 57*53/205= 14.74

high- high = 53*53/205= 13.70

Summarizing in a table

Expected Frequencies

                  low          med-low       med-high          high           Total        

low             5.27         11.41                    10.009           9.31        35.999

med-low  9.51            20.61               18.073             16.8        64.993

med-high 8.34             18.07                 15.85            14.74       57  

high          7.76              16.8                  14.74             13.7         53              

Total       30.88           66.89               58.672          54.55         210.992  

Using Excel

The Chi Square Values are

0.062823

0.270857

0.159572

0.735995791

1.229247532

As the calculated  χ² = 1.23  is less than the critical region  χ²≥ χ²(0.05,9)=  16.92 ,Staples can conclude that demands for these two types of computers are independent  at the 0.05 level of significance,

Answer:

1.c

2.c

here is your answer

Answer:

if you asking 9th question so answer is...

(b) is the correct answer.

I guess this may help you...

Answer:

Really?

cos(x) = f/e

tan(x) = d/f

sin(x) = d/e

9514 1404 393

Answer:

Step-by-step explanation:

  [tex]\begin{array}{rrr}100111_2&732_8&3213_4\\+11101_2&-67_8&+221_4\\\cline{1-3}1000100_2&643_8&10100_4\end{array}[/tex]

It can be convenient to convert these to base 8 for comparison. (Bases 2, 4, and 8 are easily interconverted by regrouping the base-2 bits of the number.) Using periods to mark groups of bits, we have ...

  1000100₂ ⇒ 1.000.100₂ ⇒ 104₈

  10100₄ ⇒ 01.00.01.00.00₂ ⇒ 0.100.010.000₂ ⇒ 0420₈

Then the numbers in order are, smallest to largest, ...

_____

When the sum of digits in a column equals or exceeds the base, then 1 is carried to the next column to the left, and the excess is written as the sum of the column. In base 2, this means 1+1 = 10. In base 4, this means 3+1=10, or 1+2+2=11.

Subtraction of a larger digit from a smaller one can be done by "borrowing" 1 (the amount of the base) from the next column to the left. In base 8, for example, this means 32-7 = 23.

These rules are identical to the rules that apply in base ten arithmetic.

Answer:

The area of the parallelogram is base*height, so the area would be 5*6.7=33.5yd^2

The perimeter of the shape would be 6.4+6.4+6.7+6.7=26.2yd

Answer:

Hello! answer: 12 cm

Step-by-step explanation:

60 ÷ 5 = 12 Therefore. the height is 12 hope that helps!

He gave $100 to the local charity

Step-by-step explanation:

1/5 of 500 is 100

Answer:

$100

Step-by-step explanation:

This question asks how much of his money he gave to charity, meaning we must find 1/5 of 500. An easy way to mentally solve this is by dividing 500 into 5 separate, equal parts. This can be done by dividing 500 by 5. If you don't know what 500/5 is you can ignore the 0s for now and just divide 5/5, which is 1. Then, add the 0s back on for an answer of 100. Therefore, because 100 is 1/5 of 500 it must be the answer.

Answer:

120 miles

Step-by-step explanation:

2 cm / 15 miles = 16 cm / x           Cross multiply

2x = 15 * 16

2x = 240                                       Divide by 2

2x/2 = 240/2

x = 120 miles