12ad to the third power and which term are like terms?

1 answer:

5 0

$(12ad)^{3}=12^{3}a^{3}d^{3}\\\\=1728a^{3}d^{3}$

There is only one term here. There are no like terms.

"Like terms" is a concept that applies to 2 or more terms that have the same constellation of variables (same variables to same powers).

You might be interested in

Maria and Jeff collect data on the number of cars that pass through an intersection every Monday morning for 2 months. They reco

timofeeve [1]

You know that’s tuff that’s really tuff that’s literal overdose in words just like I would answer it if you can make it into an equation instead of a word problem

8 0

4 years ago

Read 2 more answers

The lengths of the three sides of a triangle (not necessarily a right triangle) are 3.16 meters, 8.25 meters and 10.4 meters. wh

Dafna1 [17]

For non-right triangles you must use the "Law of Cosines" and then, the "Law of Sines" to solve this.

a= 8.25m
b= 10.4m
c= 3.16m
∠A= UNKNOWN
∠B= UNKNOWN
∠C=UNKNOWN

Law of Cosines:
c²= a²+b²-2abCos(C)
(3.16)²= (8.25)²+(10.4)²- 2(8.25)(10.4)(cos(C))
9.9856 = 68.0625 + (108.16) - (171.6)(cos(C)
9.9856 = 176.2225- 171.6 cos C
-166.2369= - (171.6(cosC))
cosC= 0.968746503
Take the inverse cosine of that to get the measure of angle C
∠C= 15.95813246°

Now Use law of sines to find ∠B:
$\frac{10.4}{Sin(B)} = \frac{3.16}{sin(15.96)}$
$\frac{10.4}{Sin(B)} =12.73922$
$10.4 =12.73922115(sinB)$
$sinB= 0.816276439$
(take the inverse sine to get the measure of ∠B)
∠B= 60.8040992°


Answer:
The angle measures approximately 60.80°.

7 0

4 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 $\mu = 1050, \sigma = 100$