One more question 50 points

Answer:

The first 12 terms of the series are represented by:

[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]

Step-by-step explanation:

The summation notation for the series [tex]-1 + 2 -4 + 8 -16...[/tex] is represented by the expression [tex]f(n) = \Sigma\limits_{i = 1}^{n} [(-1)^{n} \cdot 2^{n-1}][/tex].

The first 12 terms of the series are represented by:

[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]

Answer:

[tex]\text{Equation: }V=5\cdot 4\cdot 6,\\\text{Volume: }120\:\mathrm{in^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex].

Thus, we have the equation:

[tex]V=5\cdot 4\cdot 6[/tex]

Solving, we get:

[tex]V=5\cdot 4\cdot 6=\boxed{120\:\mathrm{in^3}}[/tex].

Answer:

120

Step-by-step explanation:

length time width time height

6 times 4 times 5

would be you equation the 120 would be your volume  

Answer:

3 pages of instruction for every practice problem

Step-by-step explanation:

Answer:

+213

Because its above sea level it means positive but if it is below sea level it is negative.

Answer:

x=25.

Step-by-step explanation:

We know because of corresponding angles, the sum of the angle adjacent to (2x-5) and (2x-5) is 180 degrees

2x-5+5x+10=180

7x+5=180

7x=175

x=25

9514 1404 393

Answer:

  θ = 60°

Step-by-step explanation:

The angle is more than 45° and less than 90°. The only viable choice is ...

  θ = 60°

__

We can only read the x-coordinate of the point on the terminal ray. It is 1/2, which is the cosine of 60°. The angle must be 60°.

Answer:

b, a, c

Step-by-step explanation:'

The side opposite of the smallest angle(50) is always the smallest, which means b is the smallest

Hope this helps!

Answer:

b ,a ,c

Step-by-step explanation:

The side opposite the smallest angle is the shortest

The smallest

x = 180 - 70 -62 = 48

48 is the smallest angle so b is the smallest side

The side opposite the largest angle is the longest side

70 is the largest angle so c is the longest side

b ,a ,c

Answer:

p=37

Step-by-step explanation:

to get p by its self, you would do:

p+36=73

 -36=-36

p=37

Answer:

37

Step-by-step explanation:

Answer:

  x = 2.5 or 7.5

Step-by-step explanation:

Subtract 3/4.

  |5 -x| = 10/4 = 2.5

This resolves to two equations:

The solutions are x = 2.5 or 7.5.

Answer: 21

Step-by-step explanation: Okay but actually its 19 :)

Answer:

NO!

Step-by-step explanation:

:-p

Answer:

-9, -5, -4.1, -4

[tex]\\q\leq -4[/tex]

Step-by-step explanation:

I think what you're missing here is that there is a negative sign in front of the q. This means that whatever number you put in for q will be multiplied by negative 1. Positive numbers will become negative, and negative numbers will become positive.

If you substitute 9 for q you will get [tex]-9\geq 4[/tex], which is clearly not true, because -9 is way less than 4.

For writing the equation you divide both sides by -1. When you do this however, you must flip the inequality sign

[tex]-q\geq 4\\q\leq -4[/tex]

the > sign turned into <, and the q and 4 switched signs.

Answer:

A. Second Grade

Step-by-step explanation:

Answer:

120cm^3

Step-by-step explanation:

75 as a fraction of 125 would be 75/125

Now Lets simplify

75/25=3

125/25=5

We get 3/5

We can not reduce 3/5 anymore, so the answer is 3/5

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Let 75 be x fraction of 125. Therefore, we can write the statement as,

x × 125 = 75

x = 75/125

x = 3 /5

Hence, 75 is 3/5 fraction of 125.

Learn more about Fraction:

https://brainly.com/question/1301963

#SPJ2

Answer:

66 words per minute

Step-by-step explanation:

In 38 minutes , words that can be typed by Gordon = 2508 words

In 1 minute, words that can be typed by Gordon = 2508/38

                                                                                = 66 words

Therefore Gordon types 66 words per minute.

hope it helps :)

Answer:

66

Step-by-step explanation:

To find the unit rate you would need to find how many words Gordon can type in one minute. To do that, all you need to do is divide 2,508 by 38 (which would get you 66 words). If you set up a proportion to solve this it would look somewhat like 2,508/28 = 66/1.

~ ~

Answer:

<1+125=180°{linear pair}

<1=180-125

<1=55

Answer:

you would have 8 cents

Step-by-step explanation:

:D hope this helps!!

Answer:

C and B

Step-by-step explanation:

9514 1404 393

Answer:

  A.  7√3

Step-by-step explanation:

The side length ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Here, the shortest side is 7, and x is the next-longer side.

  x = 7√3

Answer:

t- critical value =1.721

Step-by-step explanation:

Given

Sample size =n=22

Degree of freedom = sample size -1 = 22-1 =21

The significance level is 5%. This indicates that the test is right tailed.

The alpha value = 0.05

For given right tailed test, with value of alpha = 0.05 and degree of freedom = 21, the  t- critical value =1.721

A. True

In a circle, all radii have the same length. The radius is the distance from the center of the circle to any point on its circumference. Since the center is equidistant from all points on the circumference, all radii will have the same length. Therefore, the statement is true.

=>x+45+45=180°

=>x+90=180°

=>x=180°-90°

=>x=90°

Answer:

Step-by-step explanation:

x/3=—27/3

Therfore, x=-9

A

Answer:

60 sq yd

Step-by-step explanation:

B = area of the base of the prism = area of the triangle

  = bh/2           b = 15    h = 8

  = 8*15/2

  = 60 sq yd