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3 years ago

Evaluate 7 sigma n=1 2(-2)^n-1

2 answers:

6 0

Okay I think you mean the sum of the first 7 terms of the geometric sequence:

a(n)=2(-2)^(n-1)

The sum of any geometric sequence is:

s(n)=a(1-r^n)/(1-r) in this case:

s(7)=2(1--2^7)/(1-7)

s(7)=-43

oksian1 [2.3K]3 years ago

5 0

\[\sum_{n=1}^{7} 2(-2)^{n-1}\]

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Selecting an SUV with a blue exterior

frozen [14]

The answer is straightforward, by the "rule of product":

There are

3×8×2=48

different combinations (distinct possible cars) that can be created.

There 33 choices for body style; 88 choices for exterior colors, and 22 choices of interior color schemes:

Since each of these choices are independent (the choice of body style doesn't depend on exterior or interior color, e.g.) we multiply the number of choices for each quality to obtain: 3×8×2=483×8×2=48 distinct ways to create a car

6 0

2 years ago

15 and 17 pls.. 15 points!!!!

Maurinko [17]

Step-by-step explanation:

15) 50 ÷ 2 = 25

17) Mean = 301, Mode = 40-50

(10+20) ÷ 2 = 15, (20+30) ÷ 2 = 25, (30+40) ÷ 2 = 35

(40+50) ÷ 2 = 45, (50+60) ÷ 2 = 55, (60+70) ÷ 2 = 65

(70+80) ÷ 2 = 75

• 15×4 = 60, 25×8 = 200, 35×10 = 350, 45×12 = 540

55×10 = 550, 65×4 = 260, 75×2 = 150

Mean = (60+200+350+540+550+260+150) ÷ 7

= 2110 ÷ 7

= 301.4285....

= 301

Mode : the highest frequency

3 0

3 years ago

Read 2 more answers

Plz help me-7.1(z-1.1)

Elena-2011 [213]

Answer:

Step by step explanation:

$- 7.1(z - 1.1)$

Multiply each term in paranthesis by -7.1

$- 7.1 \times z - 7.1 \times ( - 1.1)$

Multiply:

$-7.1z + 7.81$

Hope this helps...

Good luck on your assignment..

6 0

3 years ago

PLEASE HELPPP ASAPP!! Combine and simplify the following radical expression.

Greeley [361]

After demonstrating the procedure by algebraic means, the expression $(2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )$ is equivalent to $6\cdot \sqrt[3]{24}$ .

In this question we proceed to simplify $(2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )$ by algebraic means into a single radical expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:

$(2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )$ Given.
$(2\cdot 3) \cdot (\sqrt[3]{12} \cdot \sqrt[3]{2} )$ Commutative property/ Associative property.
$6\cdot \sqrt[3]{24}$ Definition of cubic root/ $\sqrt[n]{a} = \sqrt[n]{b}$ /Result

After demonstrating the procedure by algebraic means, the expression $(2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )$ is equivalent to $6\cdot \sqrt[3]{24}$ .

To learn more on radical expressions, we kindly invite to check this verified question: brainly.com/question/1810591

7 0

2 years ago

Select all the correct answers.

Phantasy [73]

Answer:

a = 6, b = 8, and c = 10.

Step-by-step explanation:

You can easily use the Pythagorean Theorem to solve all of these.

a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.

a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.

a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.

a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.

The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.

Hope this helps!

3 0

3 years ago

Read 2 more answers