Use the rules of exponents to evaluate or simplify. Write without negative exponents.

Mathematics

1 answer:

koban [17]3 years ago

4 0

9514 1404 393

Answer:

Step-by-step explanation:

Any non-zero number to the zero power is 1.

3.4^0 = 1

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Allometric relations often can be modeled by f(x)= x^b, where a and b are constants. One study showed that for a male fiddler

dolphi86 [110]

Answer:

a) $f(2)= 0.448 (2)^{1.21}= 1.036 grams$

b) $0.5 = 0.448 x^{1.21}$

Dividing both sides by 0.448 we got:

$\frac{0.5}{0.448} = x^{1.21}$

We can appy the exponent $\frac{1}{1.21}$ in both sides of the equation and we got:

$(\frac{0.5}{0.448})^{\frac{1}{1.21}} = x= 1.095grams$

Step-by-step explanation:

For this case we know the following function:

$f(x) = 0.448 x^{1.21}$

The notation is: x is the weight of the crab in grams, and the output f(x) is the weight of the claws in grams.

Part a

For this case we just need to replace x = 2 gram in the function and we got:

$f(2)= 0.448 (2)^{1.21}= 1.036 grams$

Part b

For this case we know tha value for $f(x) =0.5$ and we want to find the value of x who satisfy this condition:

$0.5 = 0.448 x^{1.21}$

Dividing both sides by 0.448 we got:

$\frac{0.5}{0.448} = x^{1.21}$

We can appy the exponent $\frac{1}{1.21}$ in both sides of the equation and we got:

$(\frac{0.5}{0.448})^{\frac{1}{1.21}} = x= 1.095grams$

8 0

3 years ago

Find the area of the figure. PLEASE HELP I NEED IT URGENT PLEASE

ale4655 [162]

Answer:

Area = Area of bigger triangle - Area of small triangle

${ \rm{area = ( \frac{1}{2} \times b_{b} \times h_{b}) - ( \frac{1}{2} \times b_{s} \times h _{s} )}} \\ \\ { \tt{area = ( \frac{1}{2} \times 18 \times 7) - ( \frac{1}{2} \times (18 - 13) \times 7) }} \\ \\ { \tt{area = (9 \times 7) - (2.5 \times 7)}} \\ \\ { \underline{ \tt{ \: \: area = 45.5 \: \: sq \: units \: \: }}}$

Area = area of square + area of two right angled triangles

${ \tt{area = (s \times s) + 2( \frac{1}{2} \times b \times h)}} \\ \\ { \tt{area = (6 \times 10) + (3 \times 5)}} \\ \\ { \underline{ \tt{ \: \: area = 75 \: \: {m}^{2} \: \: }}}$