Michael played a game of darts. He threw 14 darts and hit the target

Hej proszę o szybkie napisanie zad takie: Skalary stanowią 4/7 a mieczyki 5/9 wszystkich rybek w pewnym akwarium. Czy w tym akwa

Kruka [31]

Answer:

The translation of the question is: " Angelfish are 4/7 and gladiolus 5/9 of all fish in a certain aquarium. Are there more angelfish or gladiolus in this aquarium?

The answer is: there are more angelfish.

Explanation:

You have the fraction for both angelfish and gladioulus in a certain aquarium, so you need to compare those fractions to conclude which fraction is greater.

To compare fractions you can divide one by the other. Whether the quotient (the result of the division) is greater than, equal than, or less than one will tell which fraction is greater than the other.

If fraction 1 / fraction 2 > 1 ⇒ fraction 1 is greater than fration 2

If fraction 1 / fraction 2 = 1 ⇒ fraction 1 is equal to fraction 2

If fraction 1 / fraction 2 < 1 ⇒ fraction 1 is less than fraction 2.

Now, lets compare the fish's fractions:

$\frac{\frac{4}{7}}{\frac{5}{9}}=\frac{4}{7}.\frac{9}{5}=\frac{4.9}{7.5}=\frac{36}{35}>1$

Then, you conclude that 4/7 is greater than 5/9, and thus the fraction of angelfish is greater than the fraction of gladioulus: there are more angelfish in the aquarium.

4 0

3 years ago

17+5 plz show communitive property

wariber [46]

Answer:

17+5=17+5

No matter what order you put them it will always be the same

5 0

2 years ago

Read 2 more answers

25% of what number is 50?

LekaFEV [45]

Answer:

200

Step-by-step explanation:

The unknown number = x

25% of x = 50

25% of x = 0.25x

0.25x = 50

Multiply both sides of the equation by 4

x = 200

Hope this helps :)

5 0

2 years ago

Find the general term of sequence defined by these conditions.

disa [49]

Answer:

$\displaystyle a_{n} = (2)^{2n -1} - (3) ^{n-1 }$

Step-by-step explanation:

we want to figure out the general term of the following recurrence relation

$\displaystyle \rm a_{n + 2} - 7a_{n + 1} + 12a_n = 0 \: \: where : \: \:a_1 = 1 \: ,a_2 = 5,$

we are given a linear homogeneous recurrence relation which degree is 2. In order to find the general term ,we need to make it a characteristic equation i.e

${x}^{n} = c_{1} {x}^{n - 1} + c_{2} {x}^{n - 2} + c_{3} {x}^{n -3 } { \dots} + c_{k} {x}^{n - k}$

the steps for solving a linear homogeneous recurrence relation are as follows:

Create the characteristic equation by moving every term to the left-hand side, set equal to zero.
Solve the polynomial by factoring or the quadratic formula.
Determine the form for each solution: distinct roots, repeated roots, or complex roots.
Use initial conditions to find coefficients using systems of equations or matrices.

Step-1:Create the characteristic equation

${x}^{2} - 7x+ 12= 0$

Step-2:Solve the polynomial by factoring

factor the quadratic:

$( {x}^{} - 4)(x - 3) = 0$

solve for x:

$x = \rm 4 \:and \: 3$

Step-3:Determine the form for each solution

since we've two distinct roots,we'd utilize the following formula:

$\displaystyle a_{n} = c_{1} {x} _{1} ^{n } + c_{2} {x} _{2} ^{n }$

so substitute the roots we got:

$\displaystyle a_{n} = c_{1} (4)^{n } + c_{2} (3) ^{n }$

Step-4:Use initial conditions to find coefficients using systems of equations

create the system of equation:

$\begin{cases}\displaystyle 4c_{1} +3 c_{2} = 1 \\ 16c_{1} + 9c_{2} = 5\end{cases}$

solve the system of equation which yields:

$\displaystyle c_{1} = \frac{1}{2} \\ c_{2} = - \frac{1}{3}$

finally substitute:

$\displaystyle a_{n} = \frac{1}{2} (4)^{n } - \frac{1}{3} (3) ^{n }$

$\displaystyle \boxed{ a_{n} = (2)^{2n-1 } - (3) ^{n -1}}$

and we're done!

7 0

3 years ago

F(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 find f(x)/g(x)

Simora [160]

Assuming your f(x) = x^3 +6x^2 +x^(1/2) and g(x) = x^(1/2), you have
.. f(x)/g(x) = x^(5/2) +6x^(3/2) +1

____
If an exponent has any arithmetic in it, parentheses are needed around it.

6 0

3 years ago