All categories

2 years ago

Solve: 9^2x + 1 = 93x – 2

Mathematics

2 answers:

Sergeu [11.5K]2 years ago

8 0

Answer:

x = 1/4

Step-by-step explanation:

Expand the square, then solve the resulting 3-step equation.

81x +1 = 93x -2

1 = 12x -2 . . . . . . . . . subtract 81x

3 = 12x . . . . . . . . . . . add 2

3/12 = 1/4 = x . . . . . . divide by 12 and reduce the fraction

The solution is x = 1/4.

Furkat [3]2 years ago

3 0

Answer:

x=0.25

Step-by-step explanation:

You might be interested in

A ferry will safely accommodate 68 tons of passenger cars. Assume that the mean weight of a passenger car is 1.8 tons with stand

nika2105 [10]

Answer:

$P (Z$

Step-by-step explanation:

We want the probability that the 35 cars are loaded onto the ferry. Therefore:

Since

μ=1.8 and σ=0.5 we have:

P(X<35 )=P ( X−μ<35−1.8 )=P((X−μ)/σ<(35−1.8)/0.5)

Since

(x−μ)/σ=Z and

$(35-1.8)/0.5=66.4$

we have:

$P (X$

Use the standard normal table to conclude that:

$P (Z$

7 0

2 years ago

Read 2 more answers

The volume of an object that is 23 ft wide, 10 ft deep, and 8 ft height is:

monitta

The answer is 1840 because you have to do 10x8 then multiply that by 23 and get 1840

6 0

2 years ago

Read 2 more answers

Water is poured into a conical paper cup at the rate of 3/2 in3/sec (similar to Example 4 in Section 3.7). If the cup is 6 inche

aliya0001 [1]

Answer:

The water level rising when the water is 4 inches deep is $\frac{3}{8\times \pi} inch/s$ .

Step-by-step explanation:

Rate of water pouring out in the cone = R= $\frac{3}{2} inch^3/s$

Height of the cup = h = 6 inches

Radius of the cup = r = 3 inches

$\frac{r}{h}=\frac{3 inch}{6 inch}=\frac{1}{2}$

r = h/2

Volume of the cone = $V=\frac{1}{3}\pi r^2h$

$V=\frac{1}{3}\pi r^2h$

$\frac{dV}{dt}=\frac{d(\frac{1}{3}\pi r^2h)}{dt}$

$\frac{dV}{dt}=\frac{d(\frac{1}{3}\pi (\frac{h}{2})^2h)}{dt}$

$\frac{dV}{dt}=\frac{1}{3\times 4}\pi \times \frac{d(h^3)}{dt}$

$\frac{dV}{dt}=\frac{1\pi }{12}\times 3h^2\times \frac{dh}{dt}$

$\frac{3}{2} inch^3/s=\frac{1\pi }{12}\times 3h^2\times \frac{dh}{dt}$

h = 4 inches

$\frac{3}{2} inch^3/s=\frac{1\pi }{12}\times 3\times (4inches )^2\times \frac{dh}{dt}$

$\frac{3}{2} inch^3/s=\pi\times 4\times \frac{dh}{dt} inches^2$

$\frac{dh}{dt}=\frac{3}{8\times \pi} inch/s$

The water level rising when the water is 4 inches deep is $\frac{3}{8\times \pi} inch/s$ .

6 0

2 years ago

Select all the properties that are used below to solve 7y − 15 = −29. 7y – 15 + 15 = –29 + 15 7y = –14 7y7 = –147 y = –2 A. Iden

lukranit [14]

B.addition property of multiplication

D.inverse property of multiplication

E.commutative property of addition

3 0

2 years ago

An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be

ludmilkaskok [199]

Answer:

a. f(n+1) = f(n) + 20

Step-by-step explanation:

The second hour, f(2) = 130 is the wage of the first hour f(1) = 110, plus 20.

_____

You have to look at the answers and understand what they mean. (This can be difficult when they are nonsense, as here.)

b — means each successive hour of pay is 110 more than the previous one. Clearly that is not the case for the sequence given

c — equates 0 to 20, total nonsense

d — equates 0 to 110, also total nonsense

4 0

2 years ago

Read 2 more answers