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Bond [772]
3 years ago
13

Factor out the coefficient of the variable 1/2q plus 5/2

Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0
I believe you do it like this:
1/2 Q+5/2
divide 1/2 into each term
to divide multiply by the reciprocal
1/2 x2/1= 1
5/2 x 2/1=5

1/2(Q+5) 
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Cobalt-56 has a decay constant of 8.77 × 10-3 (which is equivalent to a half life of 79 days). How many days will it take for a
sweet-ann [11.9K]
As I read this one, is just a decay exponential equation... so

A = P(1 + r)ᵗ   where "t" is days passed. . hmm in this case is decay, so negative rate  A = P(1 - r)ᵗ, and the decimal amount would be 0.00877 for the rate

62% of P, the original value, is just 0.62P, now... if we hmm take P as just 1, it could be any amount, but 62% of 1,000,000 is just 62% of 1 times 1,000,000

so, for the sake of comparing it with a percentage, 1 will do

\bf 0.62P=P(1-0.00877)^t\implies P=1\implies 0.62=(1-0.00877)^t
\\\\\\
ln(0.62)=ln[(1-0.00877)^t]\implies ln(0.62)=t\cdot  ln(1-0.00877)
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\cfrac{ln(0.62)}{ln(0.99123)}=t
7 0
3 years ago
1. A wooden box is to be built so that it measures 156 cm by 122 cm by 95 cm.
NeX [460]

The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².

<h3>How to find the surface area of a rectangular prism</h3>

The wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.

Therefore,

surface area of rectangular prism = 2(lw + lh + hw)

where

  • l = length
  • w = width
  • h = height

l = 156 cm

w = 122 cm

h = 95 cm

surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))

surface area of rectangular prism = 2(19032 + 14820 + 11590)

surface area of rectangular prism = 2(45442)

surface area of rectangular prism = 90884 cm²

learn more on surface area here:brainly.com/question/27161212

7 0
2 years ago
Rewrite (2x^2+13x+26) / x+4 in the form q(x)+r(x)/b(x) . Then find q(x) and r(x). In the rewritten expression, q(x) is_____and r
likoan [24]

The value of q(x) is 2 x+5

The value of r(x) is 6

Explanation:

The given expression is \frac{2 x^{2}+13 x+26}{x+4}

We need to rewrite the expression in the form of q(x)+\frac{r(x)}{b(x)}

Simplifying the expression, we get,

\frac{2 x^{2}+8 x+5x+26}{x+4}

Separating the fractions, we have,

\frac{2 x^{2}+8 x}{x+4}+\frac{5 x+26}{x+4}

2 x+\frac{5 x+26}{x+4}  -----------(1)

Now, we shall further simplify the term \frac{5 x+26}{x+4} , we get,

\frac{5 x+26}{x+4}=\frac{5 x+20}{x+4}+\frac{6}{x+4}

Common out 5 from the numerator, we have,

\frac{5 x+26}{x+4}=5+\frac{6}{x+4}

Substituting the value \frac{5 x+26}{x+4}=5+\frac{6}{x+4} in the equation(1), we get,

2 x+5+\frac{6}{x+1}

Thus, the expression \frac{2 x^{2}+13 x+26}{x+4}=2 x+5+\frac{6}{x+1} is in the form of q(x)+\frac{r(x)}{b(x)}

Hence, we have,

q(x)=2 x+5

r(x)=6 and

b(x)=x+4

5 0
3 years ago
12 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will eac
Oksanka [162]

Answer:

2.4 or 12/5 or 2 2/5

Step-by-step explanation:

4 0
2 years ago
Please help it’s due soon :(<br> I’ll mark brainliest!!
Assoli18 [71]

Answer:

The answer is A. 105

Step-by-step explanation:

it's more tilted so it can't be a lower number, the only option is 105

8 0
3 years ago
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