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sammy [17]
3 years ago
5

Please help me with this problem.​

Mathematics
1 answer:
Alinara [238K]3 years ago
8 0

Answer:

○ \displaystyle f(x + 1) = x^3 + 4x^2 + 3x + 1

Step-by-step explanation:

When shifting to the left, you use, in the form of \displaystyle x - c,\displaystyle x + 1,in which −c gives you the OPPOSITE terms of what they really are.

I am joyous to assist you anytime.

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Element X decays radioactively with a half life of 12 minutes. If there are 160
Salsk061 [2.6K]

Answer:

It would take 75.8 minutes for the element to decay to 2 grams.

Step-by-step explanation:

The number of grams of element x, after t minutes, is given by the following equation:

X(t) = X(0)(1-r)^{t}

In which X(0) is the initial amount and r is the decay rate.

There are 160 grams of Element X

This means that X(0) = 160.

So

X(t) = X(0)(1-r)^{t}

X(t) = 160(1-r)^{t}

Half life of 12 minutes.

This means that X(12) = 0.5*X(0) = 0.5*160 = 80. So

X(t) = 160(1-r)^{t}

80 = 160(1-r)^{12}

(1 - r)^{12} = 0.5

\sqrt[12]{(1 - r)^{12}} = \sqrt[12]{0.5}

1 - r = 0.9438

So

X(t) = 160(1-r)^{t}

X(t) = 160(0.9438)^{t}

How long would it take for the element to decay to 2 grams?

This is t for which X(t) = 2. So

X(t) = 160(0.9438)^{t}

2 = 160(0.9438)^{t}

(0.9438)^{t} = \frac{2}{160}

\log{(0.9438)^{t}} = \log{\frac{2}{160}}

t\log{0.9438} = \log{\frac{2}{160}}

t = \frac{\log{\frac{2}{160}}}{\log{0.9438}}

t = 75.8

It would take 75.8 minutes for the element to decay to 2 grams.

6 0
3 years ago
Please help and explain please
butalik [34]
The greatest remainder with 3 is 2, the greatest remainder with 8 is 7, and the greatest remainder with 5 is 4, all because if it was one more then it would not be remaining and it would be without a remainder. Hope this helps!
4 0
3 years ago
HELP PLS I WILL GIVE BRAINLY ASAP HELP
Liono4ka [1.6K]
You question has no background information
5 0
2 years ago
Read 2 more answers
The distance of planet Jupiter from the Sun is approximately 7.8 ⋅ 108 kilometers, and the distance of planet Saturn from the Su
katen-ka-za [31]
Distance of Jupiter to sun:
7.8*108=842.4
Distance of Saturn from sun:
1.5*109=163.5

difference:
842.4-163.5=678.9
6 0
4 years ago
Read 2 more answers
The triangle is rotated 90 degrees clockwise around the pount (0,0)
Whitepunk [10]

Answer:

(2,6)

Step-by-step explanation:

Option:B

The triangle is rotated 90 degree clockwise around the point (0,0). The point is (-6,2) is made to rotate. The image so formed is at the point (2,6).

6 0
3 years ago
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