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3 years ago

I still need answers to these 2 !!! pls help !!!

Mathematics

1 answer:

mixas84 [53]3 years ago

6 0

Answer:

5 is 35 because (7-2)to the power of 2 =10 is 5to the power of 2 so 25= 10 =35

Step-by-step explanation:

(5)=35

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De acuerdo con la siguiente función f(x)=-3x+8, ¿cuál es el punto de intersección de su grafica con el eje y?

Ket [755]

Answer:

El punto de intersección con el eje “y” será (0 ; 8).

Step-by-step explanation:

En este caso la función es f(x)= -3*x + 8, o lo que es lo mismo, y= -3*x + 8

Para encontrar la intersección en y, se debe sustituir a la variable x por 0 por en la función. Una vez hecha la sustitución, es posible resolver la ecuación para encontrar el valor de y.

En este caso:

y= -3*0 + 8

Resolviendo:

y= 0 + 8

y= 8

Otra forma de resolverlo es, siendo la función f(x)= m*x + b (donde m es la pendiente y b la ordenada al origen), el valor b es el punto donde una recta cruza el eje y. En este caso la ordenada al origen tiene un valor de 8.

Entonces el punto de intersección con el eje “y” será (0 ; 8).

4 0

3 years ago

What does trace of matrix mean explain with examples

34kurt

Trace of a matrix is defined only for a square matrix . It is the sum of the elements on the main diagonal, from the upper left to the lower right, of the matrix

7 0

3 years ago

2 minutes left, quick question:

rodikova [14]

Answer:

Step-by-step explanation

Drawing quadrilateral ABCD (in picture), I tried to prove that the triangles ABD CDB were congruent, proving that the quadrilateral was a parallelogram, however, with the terms you just described, it is impossible prove that the triangles were congruent as SSA is not a valid congruence postulate. Therefore, ABCD does not have to be a parallelogram.

6 0

3 years ago

Carbon-14 is a radioactive isotope that has a half-life of 5,730 years. Approximately how many years will it take for carbon-14

PilotLPTM [1.2K]

Answer:

Carbon-14 will take 19,035 years to decay to 10 percent.

Step-by-step explanation:

Exponential Decay Function

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.

An exponential decay can be described by the following formula:

$N(t)=N_{0}e^{-\lambda t}$

Where:

No = The quantity of the substance that will decay.

N(t) = The quantity that still remains and has not yet decayed after a time t

$\lambda$ = The decay constant.

One important parameter related to radioactive decay is the half-life:

$\displaystyle t_{1/2}=\frac {\ln(2)}{\lambda }$

If we know the value of the half-life, we can calculate the decay constant:

$\displaystyle \lambda=\frac {\ln(2)}{ t_{1/2}}$

Carbon-14 has a half-life of 5,730 years, thus:

$\displaystyle \lambda=\frac {\ln(2)}{ 5,730}$

$\lambda=0.00012097$

The equation of the remaining quantity of Carbon-14 is:

$N(t)=N_{0}e^{-0.00012097\cdot t}$

We need to calculate the time required for the original amout to reach 10%, thus N(t)=0.10No

$0.10N_o=N_{0}e^{-0.00012097\cdot t}$

Simplifying:

$0.10=e^{-0.00012097\cdot t}$

Taking logarithms:

$ln 0.10=-0.00012097\cdot t$

Solving for t:

$\displaystyle t=\frac{log 0.10}{-0.00012097}$

$t\approx 19,035\ years$

Carbon-14 will take 19,035 years to decay to 10 percent.

6 0

3 years ago

Read 2 more answers

Please help will mark brainliest

Butoxors [25]

4, 16
-1, 1
3, 9
12, 144
16, 256

The rule is y=x^2. If you square all the numbers on the x side, you will get the numbers on the y side. 4 times 4 = 16. -1 times -1 =1. 3 times 3 =9, and so on.

5 0

3 years ago