All categories

2 years ago

9^6 = x^3 x9^3 solve for x

Mathematics

1 answer:

Nat2105 [25]2 years ago

8 0

Answer:

x = 9

Step-by-step explanation:

${9}^{6} = {x}^{3} \times {9}^{3}$

${9}^{6} = 729 {x}^{3}$

${x}^{3} = \frac{ {9}^{6} }{ {9}^{3} }$

${x}^{3} = {9}^{3}$

${x}^{3} = 729$

$\boxed{\green{x = 9}}$

You might be interested in

Simplify: 113 ÷ 113 · 113 11 3 11 2 11 6 11 9

qwelly [4]

I think the answer is 11 3

7 0

2 years ago

Read 2 more answers

Camilo estimates the weight of the dog . The veterinarian says that the dog weighs 84 pounds . The percent error in Camillo's es

blsea [12.9K]

Answer:

The estimated weight is in the range:

75.6 pounds $\leq$ Weight $\leq$ 92.4 pounds

Step-by-step explanation:

Since, the maximum error is 10%.

Therefore, the maximum and minimum vales will be 10% more and 10% less than 84 pounds, respectively.

For Maximum Limit:

$Weight_{max}$ = (1.1)(84 pounds)

$Weight_{max}$ = 92.4 pounds

For Minimum Limit:

$Weight_{min}$ = (0.9)(84 pounds)

$Weight_{min}$ = 75.6 pounds

Hence, the estimated weight is in the range:

75.6 pounds $\leq$ Weight $\leq$ 92.4 pounds

5 0

2 years ago

To paint his room ted prepared 2 gallons of a paint mixture at a ratio of 3:1 white to blue. If he later decide to dilute the co

earnstyle [38]

Answer:

White = 1.67 gallons

Blue = 0.33 gallons

Step-by-step explanation:

White : blue = 3 : 1

Total ratio = 3 + 1

= 4

Gallons = 2

White = 3 /4 × 2

= 6 /4

= 3/2 gallons

Blue = 1 / 4 × 2

= 2/4

= 1/2

If he later decide to dilute the color to a ratio of 5:1

Total ratio = 5 + 1

= 6

Total gallons = 2

White = 5 / 6 × 2

= 10/6

= 5/3 gallons

= 1.67 gallons

Blue = 1 / 6 × 2

= 2 / 6

= 1/3 gallons

= 0.33 gallons

4 0

2 years ago

The lengths of bolts in a batch are distributed normally with a mean of 3 cm and a standard

ValentinkaMS [17]

Answer:

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 3 cm and a standard deviation of 0.04 cm.

This means that $\mu = 3, \sigma = 0.04$