What is the next fraction in the sequence? 1/3, -2/9, 4/27, -8/81

Answers

Answer 1

Answer:

Answer:16/243

Step-by-step explanation: multiply the numerator by -2 and multiply the denominator by 3.

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Choose the equation below that represents the line that passes through the point (7, −2) and has a slope of −3.y − 2 = −3(x + 7)
y + 7 = −3(x − 2)
y + 2 = −3(x − 7)
y − 7 = −3(x + 2)

Answers

Answer:

Therefore, Option 3rd is correct that is $y+2=-3(x-7)$ which is required equation of a line.

Step-by-step explanation:

We have given a point through which line is passing that is (7,-2) and slope is also given which is -3

We have a general equation of line which is

$(y-y_1)=m(x-x_1)$

Here, $m=-3$

And $y_1=-2,x_1=7$ on substituting the values in the given formula for equation of a line we will get

$y-(-2)=-3(x-7)$

$\Rightarrow y+2=-3(x-7)$

Therefore, Option 3rd is correct that is $y+2=-3(x-7)$ which is required equation of a line.

Hello,

y+2=-3*(x-7)

Answer C

The spherical container has a radius of 21 cm. What is the approximate volume of the container?
Use 3.14 to approximate pi and express your answer in hundredths.

cm3

Answers

To solve this, we need the formula for the volume of a sphere. The formula is expressed as the 4/3 of the product of the cube of the radius and pi.
Volume = 4/3 (π x r^3)

Substituting the given values, we have:

Volume = 4/3 (3.14 x 21^3)
Volume = 38772.720 cm^3

Thus, the approximate volume of the container is 38772.720 cm^3.

Answer:because it’s a spherical container, and you’re looknng for the volume, the correct answer is 38772.720

Step-by-step explanation:

Given the following m(x)=5x-3

Answers

x = - 3/m-5 im pretty sure if your looking for x

Himpunan penyelesaian dari pertidaksamaan | 2x + 1| ≤ 3 adalah.....a. { -1 ≤ x ≤3 }
b. { -2 ≤ x ≤ 2}
c. { -2 ≤ x ≤ 1 }
d. { -1 ≤ x ≤ 1 }
e. { 0 ≤ x ≤ 1 }
Tolong caranya...

Answers

$| 2x + 1| \leq3 \n2x+1\leq3\wedge2x+1\geq-3\n2x\leq2 \wedge 2x\geq-4\nx\leq1 \wedge x\geq-2\n-2\leq x \leq1 \Rightarrow C$

Final answer:

The solution to the given inequality, |2x + 1| ≤ 3, is the set { -2 ≤ x ≤ 1 }, which corresponds to answer choice (c). This is achieved by solving two separate inequalities, 2x + 1 ≤ 3 and - (2x + 1) ≤ 3.

Explanation:

The subject of the question is Mathematics, specifically a High School algebra topic on solving absolute inequalities. The student's question is asking us to solve the inequality |2x + 1| ≤ 3. To do this, we need to create and solve two separate inequalities: 2x + 1 ≤ 3 and - (2x + 1) ≤ 3.

Solving 2x + 1 ≤ 3 gives us 2x ≤ 2 and x ≤ 1 . Solving - (2x + 1) ≤ 3 gives us -2x - 1 ≤ 3 , then -2x ≤ 4 , and finally x ≥ -2 . Combining these answers gives us the solution set { -2 ≤ x ≤ 1 }, which corresponds to answer choice (c).