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3 years ago

Simplify 8^4 •8^2 to an exponential expression

Mathematics

1 answer:

timurjin [86]3 years ago

5 0

$a^n\cdot a^m=a^{n+m}\\\\-------------------------------\\\\8^4\cdot8^2=8^{4+2}=8^6$

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If w'(t) is the rate of growth of a child in pounds per year, what does 7 w'(t)dt 4 represent? The change in the child's weight

Luba_88 [7]

Complete Question

If w'(t) is the rate of growth of a child in pounds per year, what does

$\int\limits^{7}_{4} {w'(t)} \, dt$ represent?

a) The change in the child's weight (in pounds) between the ages of 4 and 7.

b) The change in the child's age (in years) between the ages of 4 and 7.

c) The child's weight at age 7.

d) The child's weight at age 4. The child's initial weight at birth.

Answer:

The correct option is option a

Step-by-step explanation:

From the question we are told that

$w'(t)$ represents the rate of growth of a child in $\frac{pounds}{year}$

So ${w'(t)} \, dt$ will be in $pounds$

Which then mean that this $\int\limits^{7}_{4} {w'(t)} \, dt$ the change in the weight of the child between the ages of $4 \to 7$ years

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3 years ago

Subtract 3a(a + b + c) – 2b(a – b + c) from 4c(–a + b + c). Please answer and tell how to solve it, I know how the letters repre

jonny [76]

$- 7ca + 6bc - ab + 4c { }^{2}$

4c(-a+b+c) - 3a( a+b+c) - 2b( a-b+c)

$- 4ca + 4cb + 4c {}^{2} - 3a {}^{2} + 3ab - 3ac + 2ba - 2b { }^{2} + 2bc$

$- 4ca - 3ac + 4cb + 2bc + 4c {}^{2} - 3a {}^{2} - 3ab + 2ba - 2b {}^{2}$

$= - 7ca + 6bc - ab + 4c {}^{2} - 2b {}^{2}$

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