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3 years ago

Please help me answer this!!!

Mathematics

1 answer:

Bess [88]3 years ago

4 0

$a_1$ is the first term of the sequence, which is $\boxed{-4}.$

$r$ is the common ratio of the sequence, the number that you multiply one term by to generate the next term. Here, we see that multiplying by -2 will generate the next term, so $\boxed{r=-2}.$

We use the formula $S_n=\frac{a_1(r^n-1)}{r-1}$ to find the sum of the first 6 terms - just plug in our values for $a_1$ and $r:$

$S_6=\frac{-4((-2)^6-1)}{-3}=\frac{-4(63)}{-3}=\boxed{84}.$

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2<br>하<br>Number one over5+ 2/5 =<br>

shusha [124]

Answer:

5.4

Step-by-step explanation:

5 + 2/5 = 27/

= 5 2/

= 5.4

7 0

2 years ago

Un teren de 220 ha trebuie arat in 3 zile.Stiind ca a doua zi s-a arat de 1,5 ori mai mult ca in frima zi,iar in a treia zi s-a

AVprozaik [17]

I need a translation

5 0

3 years ago

The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side

Zanzabum

Using a system of equations, it is found that the lengths of the sides of the triangle are given as follows:

0.91 feet, 0.73 feet, 1.23 feet.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are the lengths, given by x, y and z.

The length of one side of a triangle is 2 feet less than three times the length of its second side, hence:

y = 3x - 2.

The length of the third side is 3/4 of the sum of the lengths of the first two sides, hence:

$z = \frac{3(x + y)}{4} = \frac{3(4x - 2)}{4}$

The perimeter of the triangle is 17.5 feet, hence:

$x + y + z = 17.5$

$x + 3x - 2 + \frac{3(4x - 2)}{4} = 17.5$

$4x + \frac{3(4x - 2)}{4} = 19.5$

$16x + 12x = 25.5$

x = 25.5/28

x = 0.91.

Then the other sides are:

y = 3x - 2 = 3(0.91) - 2 = 0.73 feet.

$z = \frac{3(4 x 0.91 - 2)}{4} = 1.23 feet$

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0

2 years ago

Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Check all that apply.

Verdich [7]

Answer:

6x ≥ 3 + 4(2x - 1)

⇔ 6x ≥ 3 + 8x - 4 => remove the parentheses

⇔ 6x - 8x ≥ 3 - 4

⇔ -2x ≥ -1

⇔ 2x ≤ 1 (or 1 ≥ 2x)

⇔ x ≤ 1/2

⇔ x ≤ 0.5

The answer for the question should be:

1 ≥ 2x

6x ≥ 3 + 8x – 4

and the first graph.

6 0

3 years ago

Read 2 more answers

Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on t

motikmotik

Answer:

39 ft

Step-by-step explanation:

Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.

Pythagorean theorem: $a^{2} +b^{2} = c^{2}$ .... which a and b are the two sides while x is the diagonal.

$5^{2} +12^{2} = x^{2}$

$25 + 144 = x^{2}$

$169 = x^{2}$ ... now we square root both sides

$13 = x$

Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.

13 * 3 = 39 ft

6 0

3 years ago