CAN SOMEONE PLEASE HELP ME WITH THIS ?

What is the 5 ^ (th) term in the sequence ?

vlada-n [284]

Answer:

the answer is -16

Step-by-step explanation:

n= 5 so 5 - 1 = 4 so it's -1(2)^4 right

2^4 is equal to 16 and then -1(16) = -16

4 0

2 years ago

Solve the equation.<br> 5x = 2x^2 +1

Bogdan [553]

Answer:

x= 5/4 + −1/4√17 or x = 5/4 + 1/4√17

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

The volume of a gas in cubic centimeters v,varies inversely with the pressure of the gas in liters per square centimeters,p when

scoundrel [369]

Answer:

The volume of the gas is $145.45\ cm^{3}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

Let

v------> the volume of a gas in cubic centimeters

p-----> the pressure of the gas in liters per square centimeters

so

$p*v=k$

we have

$v=16\ cm^{3}, p=20\ l/cm^{2}$

substitute and solve for k

$k=16*20=320$

The equation is $p*v=320$

<em>Find the volume of the gas when the pressure is 2.2 L/cm2</em>

so

For $p=2.2\ l/cm^{2}$ Find the value of v

substitute in the equation

$(2.2)*v=320$

$v=320/2.2=145.45\ cm^{3}$

8 0

2 years ago

5) Two machines M1, M2 are used to manufacture resistors with a design

Basile [38]

Answer:

Since M1 has the higher probability of being in the desired range, we choose M1.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.

So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.

For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.

M1:

Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that $\mu = 1050, \sigma = 100$