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2 years ago

I NEED HELP ASAP PLEASE NO LINKS!!!

Mathematics

2 answers:

Ludmilka [50]2 years ago

8 0

Answer:

1/8

Step-by-step explanation:

I looked it up lol

Lemur [1.5K]2 years ago

5 0

Answer:

1/8

Step-by-step explanation:

2^-3

= 1/2^3 ( The reciprocal of the negative exponent is positive).

= 1/8

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Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for

patriot [66]

100-0.0124=99.9876

10%=1/10
1/10P=P(0.999876)^t
divide both sides by P
1/10=0.999876^t
take ln of both sides
ln(1/10)=t (ln(0.999876))
divide both sides by (ln(0.999876))
ln(1/10)/(ln(0.999876))=t
use calculator
18568.08=t
about 18568 years

5 0

2 years ago

How do you solve this question? Any help appreciated!

fiasKO [112]

$\bf \displaystyle \int\limits_{1}^{e}\cfrac{1}{t}\cdot dt\\\\
-------------------------------\\\\
\textit{doing substitution}\\\\
u=\cfrac{1}{t}\implies u=t^{-1}\implies \cfrac{du}{dt}=-t^{-2}\implies \cfrac{du}{dt}=-\cfrac{1}{t^2}\\\\\\ -t^2du=dt\\\\
-------------------------------\\\\
\displaystyle \int\limits_{1}^{e}u\cdot -t^2du\impliedby \textit{now, let's do some substitution on the "t"}\\\\
-------------------------------\\\\$

$\bf u=\cfrac{1}{t}\implies t=\cfrac{1}{u}\implies t^2=\cfrac{1^2}{u^2}\implies t^2=\cfrac{1}{u^2}\\\\
-------------------------------\\\\
\displaystyle \int\limits_{1}^{e}u\cdot -\cfrac{1}{u^2}\cdot du\implies -1\int\limits_{1}^{e}\cfrac{1}{u}\cdot du\implies \left. -ln|u| \cfrac{}{}\right]_1^e$

$\bf \left. -ln\left( \frac{1}{t} \right) \cfrac{}{}\right]_1^e\implies 
\left[ -ln\left( \frac{1}{e} \right) \right]-\left[ -ln\left( \frac{1}{1} \right) \right]\implies 
\left[ -ln\left( e^{-1}\right) \right]-\left[ -ln\left( 1\right) \right]
\\\\\\\
[-(-1)]-[-(0)]\implies 1-0\implies 1$

8 0

3 years ago

Find an equation of a plane containing the line r = ⟨−5, 1, 0⟩ + t ⟨7, −8, 4⟩ which is parallel to the plane 4x + 1y −5z = −24.

Ipatiy [6.2K]

1-Find an equation of the plane.

The plane that passes through (8,0,-1)

and contains the line x=4-4t , y=1+5t , z=4+2t

------------

2-Find an equation of the plane.

The plane that passes through the point (-2,2,2)

and contains the line of intersection of the planes

x+y-z=3 and 3x-y+5z=5

---------------

3-Find an equation of the plane.

The plane that passes through the line of intersection of the planes x-z=1 and y+2z=2

and is perpendicular to the plane x+y-4z=3

------------

4-Where does the line through

(1, 0, 1) and (4,-2,3)intersect the planex + y + z = 8 ?

8 0

3 years ago

For which of the following would similar triangles and trigonometry be useful for measuring?

Helen [10]

The length of a table, the width of a classroom, and the length of a car can be easily measured without using trigonometry (could probably use a meter stick or measuring tape) because we can easily reach both ends the width of a wide river is a little different, it may not be practical to measure the distance across directly.

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3 years ago

Solve each quadratic equation. a) 2(x + 5) (2x - 3) = 0

damaskus [11]

Answer:

${4x}^{2} + 14x - 30 \\$

Step-by-step explanation:

$2(x + 5)(2x - 3)\\ (2x + 10)(2x - 3)\\ 2x(2x - 3) + 10(2x - 3)\\ 4 {x}^{2} - 6x + 20x - 30\\ {4x}^{2} + 14x - 30\\$

8 0

3 years ago