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faltersainse [42]
3 years ago
7

Three x squared plus seventeen x plus ten

Mathematics
1 answer:
Sindrei [870]3 years ago
3 0

Answer:

(3x+2)(x+5)

Step-by-step explanation:

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The half-life of a certain radioactive substance is 45 days. There are 6.2 grams present initially. On what day
kvasek [131]

Answer:

There will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days

Step-by-step explanation:

The given parameters are;

The half life of the radioactive substance = 45 days

The mass of the substance initially present = 6.2 grams

The expression for evaluating the half life is given as follows;

N(t) = N_0 \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{1/2}}

Where;

N(t) = The amount of the substance left after a given time period = 1 gram

N₀ = The initial amount of the radioactive substance = 6.2 grams

t_{1/2} = The half life of the radioactive substance = 45 days

Substituting the values gives;

1 = 6.2 \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}

\dfrac{1}{6.2}  =  \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}

ln\left (\dfrac{1}{6.2} \right )  =  {\dfrac{t}{45} \times ln \left (\dfrac{1}{2} \right )

t = 45 \times \dfrac{ln\left (\dfrac{1}{6.2} \right ) }{ln \left (\dfrac{1}{2} \right )} \approx 118.45 \ days

The time that it takes for the mass of the radioactive substance to remain 1 g ≈ 118.45 days

Therefore, there will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days.

3 0
3 years ago
Convert 160 kilometers to miles (to the nearest tenth). 99.4 9.94 0.994 0.00994
IgorLugansk [536]
1 kilometer = 0.621371 miles
160km*0.621371 miles = 99.4 miles
8 0
3 years ago
Read 2 more answers
Charlotte walks home from school every day at a rate of
Anna [14]

Answer:

Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.

Step-by-step explanation:

Since Charlotte walks home from school every day at a rate of 4 miles per hour and it takes her 30-minutes to reach home, while her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour, to determine how many fewer minutes does it take Noah than Charlotte to reach home from school each day the following calculation must be performed:

Charlotte:

4 mph = 4/60 = 0.0666 miles per minute

0.0666 x 30 = 2 miles

So the distance from the school to her house is 2 miles

Noah:

6/60 = 0.1 mile per minute

2 / 0.1 = 20

Thus, Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.

5 0
3 years ago
Write a proportion and show work
NeX [460]

for this case we must write a proportion that shows the earnings obtained from Mrs. Miller for the sale of the house.

By making a rule of three we have:

179000 ------------> 100%

x -----------------------> 6%

Where "x" represents the gains obtained.

So:

x = \frac {6 * 179000} {100}

Writing the proportion:

\frac {x} {179000} = \frac {6} {100}

The earns were:

x = 10740

ANswer:

\frac {x} {179000} = \frac {6} {100}\\x = 10740

8 0
4 years ago
Read 2 more answers
1/(x-1)(x-2) + 1/(x-2)(x-3) + 1/(x-3)(x-4) = 1/6​
n200080 [17]

Answer:

see below

Step-by-step explanation:

See attached screenshot (too time consuming to type out using latex, so used MS word).

6 0
2 years ago
Read 2 more answers
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