Simplify the expression using long division <br> (3x ^ 3 - 97x + 32) / (x ^ 2

These are 2-dimenstional shapes. They are made of straight lines, and the shape is “closed” (all the lines connect).

Hey there,

Your question states: <span>These are 2-dimensional shapes. They are made of straight lines, and the shape is “closed” (all the lines connect).

</span><span>The correct answer would be Polygon. Polygons are the shapes with a </span> 2-dimensional shapes, and has straight lines.

~Jurgen

5 0

3 years ago

Read 2 more answers

PLEASE ANSWER FAST!! Find the 29th term of this sequence:-121,-108,-95,-82...

Julli [10]

Answer:

The 29th term is

Step-by-step explanation:

The above sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

U(n) = a + ( n - 1)d

where n is the number of terms

a is the first term

d is the common difference

From the question

a = - 121

d = -108 -- 121 = - 108 + 121 = 13

Since we are finding the 29th term

n = 29

The 29th term of the sequence is

U(29) = - 121 + ( 29 - 1) 13

= -121 + 28(13)

= -121 + 364

The final answer is

Hope this helps you

4 0

3 years ago

Solve this equation -129=6(7+7x)-3

leva [86]

Answer:

-4

Step-by-step explanation:

-129 = 6(7 + 7x) - 3

Distribute the 6 into the parentheses.

-129 = 42 + 42x - 3

Add like terms.

-129 = 39 +42x

Subtract 39 from both sides.

-168 = 42x

Divide 42 from both sides.

-4 = x

7 0

3 years ago

Read 2 more answers

Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n

konstantin123 [22]

Answer:

a) $P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

b) $P(13.848$ Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by $S^2$ and we select a random sample of size n from a normal population with a population variance $\sigma^2$ . And we define the following statistic:

$T = \frac{(n-1) S^2}{\sigma^2}$

And the distribution for this statistic is $T \sim \chi^2_{n-1}$

For this case we know that n =25 and $\sigma^2 = 6$ so then our statistic would be given by:

$\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2$

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

$P(S^2 > 9.1)$

And we can multiply the inequality by 4 on both sides and we got:

$P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

$P(3.462 < S^2$

If we multiply the inequality by 4 on all the terms we got:

$P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2$ And we can find this probability like this: $P(13.848$ And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

8 0

3 years ago

dwight bought 10 acres of land and built a house on 2.0 acres. dwight wanted to plant beets on the remaining 8.0 acres. if it ta

aleksklad [387]

Using mathematical operations and unit conversions, the number of beets that Dwight can grow on the 8 acres is <u>3,885 beets</u>.

<h3>What are mathematical operations?</h3>

Mathematical operations include the use of basic math operators to calculate the values of mathematical statements.

The math operators include addition, multiplication, division, subtraction, exponentiation, and modulus.

<h3>Data and Calculations:</h3>

The measurement of the land = 10 acres

The measurement of the house on the land = 2 acres

The remaining space on the land = 8 acres

The number of beets on 1/8 (0.125) hectare = 150 beets

1 hectare = 2.47105 acres

8 acres = 3.23749 hectares (8/2.47105)

If 0.125 hectares = 150 beets

3.23749 hectares = 150/0.125 x 3.23749

= 3,885 beets

Thus, the number of beets that Dwight can grow on the 8 acres is <u>3,885 beets</u>.

Learn more about mathematical operations at brainly.com/question/20628271

#SPJ1

3 0

1 year ago

Simplify the expression using long division (3x ^ 3 - 97x + 32) / (x ^ 2 - 32)