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trasher [3.6K]
3 years ago
8

Nathan finds a backpack at kitt’s that is regularly $84.99,but is on sale for 1/3 off.the same backpack is regularly 72.99 at re

c plus but is on sale for 25% off. Which is a better buy? Why?
Mathematics
1 answer:
timama [110]3 years ago
7 0
The $72.99 backpack is a better choice to buy because
The $84.99 backpack for 1/3 off is approximately $28.3299 (about $28.33)
And the $72.99 backpack for 25% off is $18.2475 (about $18.25)
So since $18.25 < $28.33, the $72.99 backpack has a cheaper price.
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Solve the equation: 5^(3t)=13
jonny [76]

Answer:

0.531 (3 s.f.)

Step-by-step explanation:

{5}^{3t}  = 13 \\  lg {5}^{3t}  = lg13 \:  \:  \:  \: (log \: both \: sides) \\ 3t(lg5) = lg13 \\ 3t =  \frac{lg13}{lg5}  \\ t =  \frac{1}{3} ( \frac{lg13}{lg5} ) \\ t =  \frac{lg13}{3lg5}  \\ t = 0.531 \: (3 \: s.f.)

Power rule is used for the 3rd step.

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4 years ago
Is it possible to construct a triangle with the side lengths of 6 cm 11cm and 13 cm why or why not?
jenyasd209 [6]

Answer:

yes because....

Step-by-step explanation:

6 + 11 > 13

6 0
3 years ago
Find the interval on which the curve of y equals the integral from 0 to x of 2 divided by the quantity 1 plus 3 times t plus t s
elena-14-01-66 [18.8K]

y=\displaystyle\int_0^x\frac2{1+3t+t^2}\,\mathrm dt

By the fundamental theorem of calculus,

\dfrac{\mathrm dy}{\mathrm dt}=\dfrac2{1+3x+x^2}

then by standard differentiation,

\dfrac{\mathrm d^2y}{\mathrm dt^2}=-\dfrac{6+4x}{(1+3x+x^2)^2}

y is concave upward whenever \dfrac{\mathrm d^2y}{\mathrm dt^2}>0. The denominator is always positive, so the sign is determined by the numerator alone:

6+4x>0\implies x>-\dfrac32

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