Find a formula for the general term
an (not the partial sum) of each infinite series (with starting point of n = 1.)
4/12+1+1/22+1+4/32+1+1/42+1+................

Step-by-step explanation:

[tex] \huge - 0.35 = - \frac{35}{100} = - \frac{7}{20} [/tex]

Answer:

11) [tex]2x=-4[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{-4}{2}[/tex]

[tex]x=-2[/tex]

12) [tex]2^3\cdot \:2^1=2^{3+1}=2^4[/tex]

([tex]2^4=16)[/tex] if you wanted the exact value.

13) [tex]-3+10=x[/tex]

Switch sides:

[tex]x=-3+10[/tex]

Rearrange:

[tex]x=10-3[/tex]

[tex]x=7[/tex]

14) [tex]10^2-64[/tex]

[tex]10*10-64[/tex]

[tex]100-64[/tex]

[tex]36[/tex]

15) [tex]\sqrt{100}-5^2[/tex]

[tex]10-5^2[/tex]

[tex]10-5*5[/tex]

[tex]10-25[/tex]

[tex]-15[/tex]

16) [tex]\frac{1}{4}x=-10[/tex]

Multiply both sides by 4:

[tex]4\cdot \frac{1}{4}x=4\left(-10\right)[/tex]

[tex]x=-40[/tex]

17) [tex]\left(2^3\right)^2=2^{3*2}=2^6[/tex]

[tex](2^6=64)[/tex] if you wanted the exact value.

18) [tex]\left(2^3\right)\left(2^2\right)=2^{3+2}=2^5[/tex]

[tex](2^5=32)[/tex] if you wanted the exact value.

Bonus Question:

Terrorist attacks took place against the United States in September 11 2001.

This is named "September 11 attacks" and you can search more about it online.

Answer:

10. x = -2

12. 16

13. x = 7

14. 36

15. -15

16.  x = -40

17. 64

18. 32

Friday 9/11 The plane hijackings that struck the World Trade Center, the Pentagon, and a Pennsylvania field killed 2,977 people.

Step-by-step explanation:

Answer:

table a

Step-by-step explanation:

because just look

Answer:

1/9 is the correct answer Hope this helps!!

Step-by-step explanation:

Answer:

1/9 or .111111111111111

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

each sister receives (7/8) ft of ribbon

Step-by-step explanation:

Let's start by writing the total amount of ribbon in fraction form:

3  1/2  = 3 + (1/2) = (7/2)

Now, we need to perform the division: (7/2) divided by 4

in order to find how much ribbon each sister gets. We convert the division of fractions into a product to make the operation simpler. This is done by using the reciprocal of the number that divides (in our case the reciprocal of "4" which is: (1/4):

(7/2) divided 4 = (7/2) x (1/4)

and we multiply the fractions obtaining:

(7/8)

So, each sister receives (7/8) ft of ribbon

Answer:

1.429 lbs per dollar of sugar

Step-by-step explanation:

multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up

Based on the cost of two pounds of sugar, we can calculate the quantity of sugar to a dollar to be 0.7 pounds.

You can find out the quantity of sugar you get per dollar using the formula:

= Price of sugar / Number of pounds

Solving gives

= 1.40 / 2

= 0.7 pounds

In conclusion, you get 0.7 pounds.

Find out more about cost per unit at https://brainly.com/question/24398532.

Answer:

cooeficients are + 8,20 and 10

terms are x and y

Answer: x=  

3

500

​  

=166.667

Step-by-step explanation:

This deals with adding, subtracting and finding the least common multiple.

Hey there!

[tex]x+300=500[/tex]

To solve this, we can just do 500 - 300.

[tex]500-300=200\\x=200(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

7/24

Step-by-step explanation:

Answer:

1.5 per hour.

Step-by-step explanation:

By proportion that is 5.4 / 3.6

= 1.5 per hour.

Answer:

10

Step-by-step explanation:

Answer:

combine like terms

Step-by-step explanation:

Answer:

$7.74

Step-by-step explanation:

The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.

For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.

This means that we can add these values together to get the minimum amount that the school needs to earn

[tex]1137.50+1500=2637.50[/tex]

Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.

[tex]\frac{2637.50}{350} =7.7357=7.74[/tex]

This means that the school needs to sell these books for at least $7.74

(... This fictional school is selling the books for more than double the price they paid for them...)

Step-by-step explanation:

P(black or yellow) = P(black) + P(yellow) − P(black and yellow)

P(black or yellow) = 1/25 + 1/5 − 0

P(black or yellow) = 6/25

Answer:

60%

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

because 30/50 × 2 =60/100 =60%

Step-by-step explanation:

10 - 3x = x-4

Collect like terms

10 +4 = x + 3x

14 = 4x

Divide both sides by 4

X = 14

4

= 7

2

= 6 1

2

Or

= 6.5

Answer:

195 Trees

Step-by-step explanation:

2/3 is just 2 of 3 parts

2 parts of the trees is 130,

so divide 130 by 2, and that's 65.

Since you know 65 + 65 is the same as 2 out of 3

Then just add 65 one more time to equal 195.

Since, 65*3 is the same as saying 1 * 3 parts

130 is equal to 2/3, so 195 is equal to 3/3.

Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)

Step-by-step explanation:

Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).

*edmentum answer*

Answer:

8

Step-by-step explanation:

one third of 24 is 8 and then you have 16 leftover so you divide 16 by 2 and you will get 8

Answer: -8

Step-by-step explanation:

To find the x and y intercepts, we have to plug 0 into x and y respectively.

4(0) + 7y = -84

Simplify.

7y = -84

Divide both sides by 7

y = -12

The y-intercept = (0, -12)

4x + 7(0) = -84

Simplify.

4x = -84

Divide both sides by 4

x = -21

The x-intercept = (-21, 0)

Answer:

A positive number or a number that is greater than zero

Step-by-step explanation:

Answer:

15 pencils

Step-by-step explanation:

18c/3

x/1

cross multiply then divide

Answer:

46 cents

Step-by-step explanation:

18 x 3 = 54

100 - 54 = 46

Answer:

the sum is 25 not 24?

Step-by-step explanation:

Answer:

I think its j

Step-by-step explanation:

Answer: Choice F) [tex]x \le -5[/tex]

====================================================

Explanation:

One long rectangle represents x. Four of them represent 4x

One tiny unshaded square represents a unit 1. Specifically this value is positive. We have 2 columns and 6 rows, so there are 2*6 = 12 tiny squares.

So the stuff in the first box (the four long rectangles and the 12 tiny unshaded squares) represent the expression 4x+12

The stuff in the second box is -8 since we have 8 shaded squares each shaded square being -1.

----------------

The inequality we need to solve is [tex]4x+12 \le -8[/tex]

We'll subtract 12 from both sides, then divide both sides by 4 to fully isolate x

This is what the steps would look like:

[tex]4x+12 \le -8\\\\\\4x+12-12 \le -8-12 \ \text{ subtract 12 from both sides}\\\\\\4x \le -20\\\\\\\frac{4x}{4} \le \frac{-20}{4} \ \text{ Divide both sides by 4}\\\\\\x \le -5\\\\\\[/tex]

The inequality sign does not flip since we did not divide both sides by a negative number.

Answer:

141°

Step-by-step explanation:

Answer:

The amount of Interest

Step-by-step explanation:

I'm 98% sure. It make sense because that how much interest ^7 you would multiply by 1250. And I've had questions like this. Hope this helps!

Answer:

the answer is about 50 minutes

Step-by-step explanation:

5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins