Solve using suitable property -2/3 x 5/7 x -9/16 x 14/25

Tommy, Joel, and Garrett shared a supreme pizza

pogonyaev

Answer:

1/8

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIST!

Evgesh-ka [11]

Mutations can happen because of damage by environmental factors, such as radiation and chemicals. Viruses may also cause DNA damage. Mutation can also occur during DNA replication due to errors. When DNA is changed the protein it codes may become non-functional or it may change its shape. Some genes control other genes. For example, the Hox genes are responsible for controlling other genes during development. They specify where the head, body and legs may be located, and also where where your nose, ears and eyes are located on your head. A mutation in the Hox genes, for example, may cause big changes, for example, a wing that grows out of the eyes of a fruit fly is due to a mutation in the Hox gene. Hox genes do not tell how wings are formed, just where it may be formed. If a gene that controls the development of the wing or legs or nose has a mutation then it may change the shape of the wing, leg, or nose.

 There are also some genes that do not govern the development of body parts, but they nevertheless have influence on traits. For example, the genes that govern the manufacture of eumelanin, if they malfunction, may result in such traits as light skin, blue eyes, and/or blond hair, because eumelanin is the pigment that gives hair, skin and eyes their dark brown to black color. An albino African, for example, will have light skin and even blue eyes and blond hair, because his/her genes for manufacturing eumelanin is defective. Some other genes control other traits but their effects are not as visible. For example, a mutation in some people's genes make them resistant to the HIV virus and the Bubonic plague, but such a trait is not visible from the outside.

6 0

3 years ago

If 2^n + 1 is an odd prime for some integer n, prove that n is a power of 2. (H

vovikov84 [41]

Step-by-step explanation:

We will prove by contradiction. Assume that $2^n + 1$ is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that $p\mid n$ . Then, for some integer $k\geq 1$ ,

$n=p\times k.$

Therefore

$2^n + 1=2^{p\times k} + 1=(2^{k})^p + 1^p.$

Here we will use the formula for the sum of odd powers, which states that, for $a,b\in \mathbb{R}$ and an odd positive number $n$ ,

$a^n+b^n=(a+b)(a^{n-1}-a^{n-2}b+a^{n-3}b^2-...+b^{n-1})$

Applying this formula in 1) we obtain that

$2^n + 1=2^{p\times k} + 1=(2^{k})^p + 1^p=(2^k+1)(2^{k(p-1)}-2^{k(p-2)}+...-2^{k}+1)$ .

Then, as $2^k+1>1$ we have that $2^n+1$ is not a prime number, which is a contradiction.

In conclusion, if $2^n+1$ is an odd prime, then n must be a power of 2.

4 0

3 years ago

Select all the sets of ordered pairs that the graph of the equation y − 1 = −2(x − 2) contains.

ExtremeBDS [4]

The sets of ordered pairs that the graph of the equation y − 1 = −2(x − 2) contains:

(0, 5) and (−2, 9)
(−1, 7) and (2, 1)

Answer: Option B and C

Step-by-step explanation:

Given that the equation of line is y - 1 = -2 (x - 2) . Now after solving the above equation, we can write the above equation as

y = - 2 x + 5

Substitute the coordinates of each set of given ordered pairs into the above equation to find out which belong to the graph of that given equation

A.(0, −2) and (1, 3)

-2 = -2(0)+5 which gives -2 = 5

3 = -2(1)+5 which gives 3=3 and denotes not contain the set of ordered pairs

B. (0, 5) and (−2, 9)

5 = -2(0)+5 which gives 5=5

9= -2(-2)+5 which gives 9=9 and denotes the set of ordered pairs

C. (−1, 7) and (2, 1)

7 = -2(-1)+5 which gives 7=7

1 = -2(2 )+5 which gives 1=1 and denotes the set of ordered pairs

D. (3, −1) and (2, −1)

-1 = -2(3)+5 which gives -1 = -1

-1 = -2(2)+5 which gives -1 = 1 and denotes not contain the set of ordered pairs

E. (1, 2) and (4, 3)

2 = -2(1)+5 which gives 2 = 3

3 = -2(4)+5 which gives 3 = -3 and denotes not contain the set of ordered pairs

Now, the above equation is satisfied by the given options B and C as on putting the value of x and y one by one then we find out that those are satisfying the given expression.

8 0

3 years ago

Hello can you please help me posted picture of question

Naddika [18.5K]

This is true statement.

Sample space is made from all the possible outcomes that an event can have.
For example when tossing a coin, the possible outcomes are Head and Tail so the sample space will be {Head, Tail}.

Thus, option A is the correct answer

5 0

3 years ago