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3 years ago

7)) Brainliest and 10+ points!

Mathematics

2 answers:

strojnjashka [21]3 years ago

4 0

Divide by 2, then subtract 4

lara [203]3 years ago

3 0

Answer:

Divide by 2

Then subtract 4

Step-by-step explanation:

Let y = 2(x+4)

Exchange x and y

x = 2(y+4)

We want to solve for y

Divide each side by 2

x/2 = y+4

Then subtract 4 from each side

x/2 -4 =y

The inverse is x/2 -4

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How many half-lives of radon-222 have passed in 11.46 days? If 5.2 × 10−8 g of radon-222 remain in a sealed box after 11.46 days

Svetach [21]

Answer:

(i) Approximately 3 half lifes

(ii) $4.21\times 10^{-7}\text{ g}$

Step-by-step explanation:

(i) ∵ The half life of Radon-222 is approximately 3.8 days,

So, the number of half life in 11.46 days = $\frac{11.46}{3.8}$ ≈ 3

(ii) Since, the half life formula is,

$N=N_0 (\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}}$

Where,

$N_0$ = initial quantity,

t = number of periods

$t_{\frac{1}{2}}$ = half life of the quantity,

Given,

N = $5.2\times 10^{-8}\text{ g}$

t = 11.46 days,

$t_{\frac{1}{2}} = 3.8\text{ days}$

$\implies 5.2\times 10^{-8}=N_0 (\frac{1}{2})^\frac{11.46}{3.8}$

$\implies N_0=2^{\frac{11.46}{3.8}}\times 5.2\times 10^{-8}\approx 4.21\times 10^{-7}\text{ g}$

7 0

4 years ago

1. Dora was born in 1981. Her son Tanner

Troyanec [42]

Answer:

B or C (they're the same?)

Step-by-step explanation:

y - 25= 1981

y = 1981 + 25

y = 2006

4 0

3 years ago

A bag contains 9 marbles, of which 3 are red and 6 are blue. players 1 and 2 take turns drawing marbles from the bag without rep

7nadin3 [17]

Solution:

For the first marble chosen by the player1,

The probability that the marble is red is 3/9=1/3

After that the second player chose without replacement, there are 8 marbles left, of which 6 are blue. So the probability of the second one being red is 6/8 = 3/4.

Since the question is asking the probability of both events happening,

So we have to multiply the two probabilities.

So the answer is (1/3) * (3/4) = 1/4.

4 0

3 years ago

Si elevas un numero negativo a potencia impar el resultado es negativo?

natita [175]

En general, al elevar un número negativo a un exponente par se tiene un resultado positivo. Mientras que si se eleva a un exponente impar el resultado será negativo. ... que por lo tanto es el inverso de la potencia con exponente negativo.

6 0

3 years ago

The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $138. The quantity demanded each mon

Stells [14]

Answer:

(a) $D(q)=\frac{-1}{25} q+148$

(b) $S(q)=\frac{1}{50}q+58$

Step-by-step explanation:

(a) For the demand equation D(q) we have

P1: 138 Q1: 250

P2: 108 Q2: 1000

We can find m, which is the slope of the demand equation,

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{108-38}{1000-250} =\frac{-30}{750}=\frac{-1}{25}$

and then we find b, which is the point where the curve intersects the y axis.

We can do it by plugging one point and the slope into the line equation form:

$y=mx+b\\\\D(q)=mq+b\\\\138=\frac{-1}{25}(250) +b\\\\138=-10+b\\\\138+10=b=148$

With b: 148 and m: -1/25 we can write our demand equation D(q)

$D(q)=\frac{-1}{25} q+148$

(b) to find the supply equation S(q) we have

P1: 102 Q1: 2200

P2: 102 Q2: 700

Similarly we find m, and b

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{72-102}{700-2200} =\frac{-30}{-1500}=\frac{1}{50}$

$y=mx+b\\\\D(q)=mq+b\\\\72=\frac{1}{50}(700) +b\\\\72=14+b\\\\72-14=b=58\\$

And we can write our Supply equation S(q):

$S(q)=\frac{1}{50}q+58$

(c) Now we may find the equilibrium quantity q* and the equilibrium price p* by writing D(q)=S(q), which means the demand equals the supply in equilibrium:

$D(q)=S(q)\\\\\frac{-1}{25}q+148=\frac{1}{50}q+58\\\\$

$148-58=\frac{1q}{50} +\frac{1q}{25} \\\\90= \frac{1q}{50} +\frac{2q}{50}\\\\90=\frac{3q}{50}\\ \\q=1500\\\\$

We plug 1500 as q into any equation, in this case S(q) and we get:

$S(q)=\frac{1}{50}q+58\\\\S(1500)=\frac{1}{50}(1500)+58\\\\S(1500)=30+58\\\\S(1500)=88$

Which is the equilibrium price p*.

8 0

3 years ago