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2 years ago

Solve the equation. Check for extraneous solutions. 9|9 – 8x| = 2x + 3

1 answer:

7 0

The answers of this equation are 39/37 and 6/5. To get the answers, the equation of the problem becomes 9(9-8x)=2x+3 and 9(8x-9)=2x+3. Then next step is to simplify first equation 1,
<span>81=74x+3.
After, equation 2 is simplified
</span><span>70x=3+81</span>

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The otherSites Squared10.A cylinder has a diameter of 12 meters and a height of 9 meters. What is thetotal surface area of the c

Gelneren [198K]

The total surface area of a cylinder is given by the formula

$\begin{gathered} A_{cylinder}=2circular\text{ area+curved surface area} \\ =2\pi r^2+2\pi rh \end{gathered}$

Given diameter, d=12meters, we will solve for radius

$\begin{gathered} \text{diameter,d}=2\times radius,r \\ d=2r \\ r=\frac{d}{2} \\ r=\frac{12m}{2} \\ r=6m \end{gathered}$

The height is given as 9meters

Substituting for r and h in the formula will give

$\begin{gathered} A_{cylinder}=2\pi r^2+2\pi rh \\ r=6m;h=9m;\pi=3.14 \\ A_{cylinder}=2\times3.14\times6^2+2\times3.14\times6\times9_{} \end{gathered}$ $\begin{gathered} A_{cylinder}=6.28\times36+6.28\times54 \\ =226.08+339.12 \\ =565.2m^2 \end{gathered}$

Hence the surface area of the cylinder is 565.2m²

8 0

8 months ago

If a unit price label has a unit price of 13.5 cents per ounce, how much is the total price for a 24 ounce package? a. $0.32 b.

marta [7]

Multiply:
13.5*24=324cents=$3.24

8 0

3 years ago

Read 2 more answers

PLEASE HELP!!! This is due today and I don’t understand can someone please tell me.

Thepotemich [5.8K]

Answer:

the answer would be 135 meters

Step-by-step explanation:

If, to scale on a map, 1 centimeter is 3.5 meters, them 2 centimeters is 7 meters. so on and so forth until 30. 30 (centimeters) times 3.5 (meters) is 135. hope this helped!!!!! reply if this doesn't make sense

3 0

3 years ago

What is the slant height of a square pyramid that has a surface area of 319 square feet and a side length of 11 feet?

Dafna1 [17]

Step-by-step explanation:

Surface area of a square pyramid is the area of the square base plus the area of the four triangles made from the base and the slant height.

SA = s² + 4(sh/2)

which reduces to:

SA = s² + 2sh

You are told that s = 11 and SA = 319. You can now solve for h:

319 = 11² + 2(11)h

319 = 121 + 22h

198 = 22h

h = 9 ft (answer C)

I hope it's helpful!!

7 0

3 years ago

Read 2 more answers

The average time an individual reads online national news reports is 49 minutes. Assume the standard deviation is 16 minutes and

Olin [163]

Answer:

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 49 minutes

Standard Deviation, σ = 16 minutes

We are given that the distribution of time an individual reads is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(no more than 30 minutes)

$P( x \leq 610) = P( z \leq \displaystyle\frac{30 - 49}{16}) = P(z \leq -1.1875)$

Calculation the value from standard normal z table, we have,

$P(x \leq 30) = 0.118 = 11.8\%$

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

3 0

2 years ago