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2 years ago

Graph the image of the given triangle after the transformation that has the rule (x, y)→(x−5, y+6)

Mathematics

2 answers:

AlexFokin [52]2 years ago

6 0

(-2,-2)

(4,-4)

(-3,-5)

alexandr1967 [171]2 years ago

4 0

Here is the cords:

(-2,-7) = (-7,-1)

(-1,-4) = (-6,2)

(5,-6) = (0,0)

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Modeling Radioactive Decay In Exercise, complete the table for each radioactive isotope.

Travka [436]

Answer :

The amount after 1000 years will be, 5.19 grams.

The amount after 10000 years will be, 0.105 grams.

Step-by-step explanation :

Half-life = 1599 years

First we have to calculate the rate constant, we use the formula :

$k=\frac{0.693}{t_{1/2}}$

$k=\frac{0.693}{1599\text{ years}}$

$k=4.33\times 10^{-4}\text{ years}^{-1}$

Now we have to calculate the amount after 1000 years.

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant = $4.33\times 10^{-4}\text{ years}^{-1}$

t = time passed by the sample = 1000 years

a = initial amount of the reactant = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

$1000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}$

$a-x=5.19g$

Thus, the amount after 1000 years will be, 5.19 grams.

Now we have to calculate the amount after 10000 years.

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant = $4.33\times 10^{-4}\text{ years}^{-1}$

t = time passed by the sample = 10000 years

a = initial amount of the reactant = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

$10000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}$

$a-x=0.105g$

Thus, the amount after 10000 years will be, 0.105 grams.

4 0

3 years ago

Curtis paid $80 on the vet bill for his dog. Then the vet charged him $40 more for his dog's medicine. If he now owes the vet $1

Klio2033 [76]

Answer:

He paid 80 at the start, so his starting must have been 80

Step-by-step explanation:

80+40=120...

so either 0, or 80 because he owed nothing, or he owed the 80, then the 40 for medication

I hope this helps!

8 0

2 years ago

Read 2 more answers

3n-5=-48-40n. Please help . I need the steps to solve and the answer

liraira [26]

3n-5=-48-40n

Move -40n to the other side. Sign changes from -40n to +40n.

3n+40n-5=-48= -48-40n+40n

3n+40n-5=-48

Move -5 to the other side.

3n+40n-5+5=-48+5

3n+40n=-43

43n=-43

Divide by 43 for both sides

43n/43=-43/43

n=-1

Answer: n=-1

5 0

3 years ago

Read 2 more answers

A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infus

Ne4ueva [31]

9514 1404 393

Answer:

274 mL

Step-by-step explanation:

Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.

Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.

With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...

v/(6 g) = (100 mL)/(25 g)

v = (6 g)(100 mL)/(25 g) = 24 mL

So, the total volume of the infusion is ...

250 mL +24 mL = 274 mL

_____

* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.

Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.

3 0

3 years ago

In any triangle ABC, which of the relations

MrRa [10]

ab+bc>can is the correct answer

3 0

2 years ago