Mutations happen at a steady rate.

True

False

9514 1404 393

Answer:

  (x +10)(x -4)

Step-by-step explanation:

Compare the factored and expanded forms:

  (x +p)(x +q) = x^2 +(p+q)x +pq = x^2 +6x -40

That is, the constants in the binomial factors will be factors of -40 that have a sum of 6. This is where your knowledge of multiplication tables is helpful.

  -40 = -1×40 = -2×20 = -4×10 = -5×8

The sums of these factor pairs are 39, 18, 6, 3, respectively. So, the one we want is (-4)(10) = -40. Now that we know the values of 'p' and 'q', we can write the factorization ...

  x^2 +6x -40 = (x -4)(x +10)

Differential equation is a way to represents the function and its variable by relating them.Hence the differential equation that describe the relationship between S and T is,

[tex]S \propto \dfrac{1}{log_e T}[/tex]

Given-

The quantity of S increases, the quantity of T decreases.

The rate of change of the quantity of S with respect to the  quantity of T present is inversely proportional to the natural logarithm of the quantity of T.

Differential equation is a way to represents the function and its variable by relating them.

As the quantity of S changes with respect to the  quantity of T present is inversely proportional. Thus,

[tex]S \propto \dfrac{1}{T}[/tex]

But quantity of S changes inversely proportional to the natural logarithm of the quantity of T. The natural logarithm of a  number is its logarithm to the base of e (constant).

Thus the equation can be given is,

[tex]S \propto \dfrac{1}{log_e T}[/tex]

Hence the differential equation that describe the relationship between S and T is,

[tex]S \propto \dfrac{1}{log_e T}[/tex]

Learn more about the differential equation here;

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Answer:

y inverse = √(x + 36)

Step-by-step explanation:

inverse of y = x² - 36

=> x² = y + 36

=> x = √(y + 36)

interchange x and y

=> y = √(x + 36)

Answer:

13 min 8 sec

Step-by-step explanation:

Answer:

13 hours 15 mins

Step-by-step explanation:

20.7/1.5= 13.8

Answer:

13. [tex]m^{37} n^{22}[/tex]

14. [tex]-48x^{4} y^{4}[/tex]

15. [tex]8x^{17}y^{6} z^{10}[/tex]

16. [tex]16x^{38}y^{22}[/tex]

17. [tex]512m^{9} n^{3}[/tex]

18. [tex]-96x^{14} y^{2}[/tex]

19. [tex]-54m^{5} n^{4}[/tex]

20. [tex]8r^{6}s^{10}[/tex]

21. [tex]-x^{15}y^{21}[/tex]

Step-by-step explanation:

Answer:

5,999

Step-by-step explanation:

Step-by-step explanation:

Answer:

thats 86 because it's the nearest whole number

Step-by-step explanation:

(3 × 3 × 3 × 3) + 4.5

81 + 4.5

85.5

Answer:

Option B

Step-by-step explanation:

The area of a parallelogram = base*height

                                               = 13.5*9.2

                                                = 124.2 cm^2

Answer:

x² + y² = 6

Step-by-step explanation:

The standard form of the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

Here r = [tex]\sqrt{6}[/tex] , then

x² + y² = ([tex]\sqrt{6}[/tex] )² , that is

x² + y² = 6

Answer:

Step-by-step explanation:

(1+(x-7)(x+2))/((x-7)(x+2))

(x^2-5x-13)/(x^2-5x-14)

Answer:

1/6 are oranges bc if half are apples 1/2 and 1/3 is bannas we need to make those fraftions match so we multiply 1/2 by 3 and 1/3 by 2 giving us a fraction over 6 which then we add what we already know so 3/6 is apples and 2/6 is bannas we add them together we get 5/6 which leaves us with 1/6 oranges

Step-by-step explanation:

Answer:

after 1 hr = 20 after 2 hrs = 40 after 3 hrs = 80 160 n 3 hrs

Answer:

1.)

P(E) = 0.5

P(A) = 0.2

P(N) = 0.3

Conditional probability ;

0.47

Step-by-step explanation:

Let :

E = Excellent ; A = Average ; N = not up to standard

P(E) = 0.5

P(A) = 0.2

P(N) = 0.3

If Leo shows up ; this type of probability is called a conditional probability. It is the likelihood of an event based on a certain or already satisfied condition.

The probability that Leo is coming :

Leo ; Excellent = 0.7

Leo ; Average = 0.3

Leo; Not up to standard = 0.2

Hence, probability they Leo is coming :

(0.5 * 0.7) + (0.2 * 0.3) + (0.3 * 0.2)

0.35 + 0.06 + 0.06

= 0.47

Answer:

$100

Step-by-step explanation:

1L has 1000ml, so 1000/20=50x$2.00=$100

I think

Hope this helps

:)

Answer:

17.28

Step-by-step explanation:

Totall buses: 48+28 = 72

% Of single decker: 72×(24÷100) = 17.28

Approximately 33.33 percentage of the buses in the depot are single-decker buses.

To find the percentage of single-decker buses, we need to calculate the ratio of the number of single-decker buses to the total number of buses (single-decker and double-decker) and then multiply by 100.

The total number of buses in the depot is given as 48 double-decker buses + 24 single-decker buses = 72 buses.

The number of single-decker buses is 24.

The ratio of single-decker buses to the total number of buses is 24 buses / 72 buses = 1/3.

To find the percentage, we multiply the ratio by 100:

(1/3) * 100 = 33.33%

Therefore, approximately 33.33% of the buses in the depot are single-decker buses.

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Answer: 856.59 km/h

Step-by-step explanation:

Length of a planet's orbit around a star = 17,680,000 km.

Days to complete full orbit = 860 days

Number of hours to complete full orbit = 860 × 24 hours = 20640 hours

The planets average speed in km/h will be:

= Distance / Time

= 17,680,000 / 20640

= 856.59 km/h

Note: 24 hours = 1 day

Answer:

2

Step-by-step explanation:

2x2-2=2

Answer:

The answer is x = 9

Step-by-step explanation:

[tex]3(x-5)=12[/tex]

use the distributive property on the left side

[tex]3x-15=12[/tex]

add 15 to both sides

[tex]3x=27[/tex]

divide both sides by 3

[tex]x = 9[/tex]

Answer:

The correct answer will be x=9

Step-by-step explanation:

Because I said so

Answer:

Its 4

Step-by-step explanation:

Volume is base times wigth times height to 5*4*v has to be 60 so we know v is 4.

Answer:

D: 13b^3 - 18b^2 - 7b + 12

Step-by-step explanation:

First expand the brackets by multiplying (10b^2+7b-3) by -1

Then rearrange the terms so you can see where you have to add them together.

Then simplify

Answer:

Listed below:

Step-by-step explanation:

P: 192

A:2079

B. Area

C. Perimeter

Hope this helps :)

Answer: probability 0.01 %

Step-by-step explanation:

P(A) = 10% = 10/100 = 0.10

pick two people -

= P(A).P(A)

= 0.10 times 0.10

= 0.01

probability = 0.01

The probability that they both own a dog is 1/50 or 0.02.

Probability is the chance of happening an event or incident.

Given, 10% of people own dogs.

Let, there are 100 people.

Therefore, the number of people own dogs is

= 100 × 10%

= 10

If I pick two people at random, then the probability that they both own a dog is

= 2/100

= 1/50

= 0.02

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Answer:

1 ticket =$36

Step-by-step explanation:

216÷6= $36

Answer:

36

Step-by-step explanation:

Divide 216 by 6 to get the total amount per ticket

Answer:

first 1 is 5.7 2 is the 4.6 3 is the 3 is the middle and the 4 is the last

Step-by-step explanation:

jus use the internet XD