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4 years ago

Hey can you please help me posted picture of question

Mathematics

1 answer:

lapo4ka [179]4 years ago

4 0

The correct Option is (C) 5x(3x^2 + 4)

Explanation:
15x^3 + 20x

Take common terms out:
5x(3x^2 + 4) Which is option C.

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Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

5 0

3 years ago

What are the solutions to the quadratic equation x^2 + 8x - 8 = 0?

Elanso [62]

Answer:

x=−4+2√6 or x=−4−2√6

E is the answer

4 0

2 years ago

Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an

marishachu [46]

Answer: $x+x^2+x^3+x^4$

Step-by-step explanation:

As per given,

Number of wives = $x$

Number of sacks = $x (\text{Number of wives} )= x\times x = x^2$

Number of cats = $x(\text{Number of sack})$ $= x \times x^2=x^3$

Number of kits = $x(\text{Number of cats} )=x\times x^3=x^4$

Now , the total number of kits, cats, sacks, and wives going to St. Ives = $x+x^2+x^3+x^4$

Hence, the required ex[pression: $x+x^2+x^3+x^4$

5 0

3 years ago

Which is an equivalent to to 752<br> O 1412<br> 021-10<br> 021-15

Stella [2.4K]

The answer to this equation is 1412 or 21-15

6 0

3 years ago

Read 2 more answers

a family is building a rectangular fountain in the backyard. the yard is rectangular and measures 8x by 9x. The fountain is goin

densk [106]

Teachers often all this problem a donut problem because it’s like the donut hole getting cut out of the middle. The way that you solve this is to find the area of the whole yard and subtract the area of the fountain. Since they are rectangles we’re going to use A = LW
Area of yard - Area of fountain
A = (8x)(9x) - (2x)(5x)
A = 72 x^2. - 10 x^2
A 62 x^2

5 0

3 years ago

Read 2 more answers