PLEASE HURRY Find the sum of the first 10 terms in the series: -3, 9, -27, 81... a. -14763 c. 44286 b. 4920 d. 59049

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.[/tex]

Required

Prove

To start with; we open the bracket on the left hand side

[tex](sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)[/tex]

[tex](sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)[/tex]

[tex](sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x[/tex]

[tex](sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x[/tex]

Reorder

[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]

From trigonometry;

[tex]sin^2x + cos^2x = 1[/tex]

So;

[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]

becomes

[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]

Also from trigonometry;

[tex]sec^2x - tan^2x = 1[/tex]

So,  

[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]

becomes

[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x[/tex]

Proved

Answer:

The answer is A because the quadratic equation formula

Step-by-step explanation:

because the quadratic equation formula is

ax^2+bx+c=0

and when you sub A into it, you get it in the needed form

Answer:

The Answer is A

Step-by-step explanation:

Answer:

65°

Step-by-step explanation:

180°-50°:130°

130°÷2:65°

130° divide by 2 because the shape was isosceles triangle

Answer: The answer is the second one/b.

Answer:

D. 22/1=x/3

Step-by-step explanation:

Well what you multiply by the top you must do the bottom and opposite way also goes, sometimes so to get three as shown in (x/3) you must use the 1 from (22/1) times something to equal 3. In this it would be 1*3=3 so I multiplied three to the bottom and what I do the the bottom I haft to do to the top so 22*3=x and x is equal to 66 witch makes (D. 22/1=x/3) the correct option. If you want or need to check a good way to is to use a calculator to multiply 22*3 just as a small check up.

Answer:

(6, 2)

Step-by-step explanation:

Step 1: Use substitution

x - 4 = 1/3x

Step 2: Isolate x

2/3x = 4

x = 6

Step 3: Plug back into original equation(s)

y = 6 - 4

y = 2

Answer:

(6,2)

Step-by-step explanation:

Let's use the substitution method.

x-4=1/3x

3x-12=x

3x=x+12

2x=12

x=6

y=6-4

y=2

Answer:

(A) It's 6/5     (B) It's 7/8  

Step-by-step explanation:

Divide each term by -6 simplify.

Hope this helped you! I don't understand the last one sorry.

Answer:

14- yes

15-No

16-11.5

Step-by-step explanation:

14- yes ( attached a picture) 5/6

15-no, because Direct Variation: It is known as the relationship between two variables where the variable quantities have a constant ratio.

8y=7x-27

     y=7/8 x-27/8

16- ky=x where k is the constant variation

k=166/83=2

ky=x when x=23

y=x/k=23/2=11.5

Answer:

the answer is true

Step-by-step explanation:

Because a parallelogram would be the result.

Answer:

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

Step-by-step explanation:

In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.

[tex]\text{total sodium} = 1310 + 350 = 1660 \text{ mg}[/tex]

We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:

[tex]\frac{1660}{x} \frac{mg}{mg} = \frac{66.4\%}{100\%}[/tex]

[tex]66.4*x = 1660*100\\x = \frac{166000}{66.4} = 2500 \text{ mg}[/tex]

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

Answer:

2,500 mg

1,310 + 350 = 1,660

1,660 is 66.4% of 2,500

Answer: 65 grams

Step-by-step explanation:

If 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold, you should first calculate the amount of gold that makes up this percentage.

That is, 85% of 130 grams.

85/100 × 130 = 110.5

Then, let X be what will be added to the above value to make 90%. So,

(110.5 + X) / ( 130 + X ) × 100 = 90

Divide both sides by 100

(110.5 + X) / ( 130 + X ) = 90/100

(110.5 + X) / ( 130 + X ) = 0.9

Cross multiply and open the bracket

110.5 + X = 117 + 0.9X

Collect the like terms

X - 0.9X = 117 - 110.5

0.1X = 6.5

Divide both sides by 0.1

X = 6.5/0.1

X = 65 grams

Therefore, the amount of pure gold that should be added is 65 grams

Step-by-step explanation:

first find the side length by

considering a triangle under

the square

[tex]l \: = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \: cm \\ area \: = \: \sqrt{10} \times \sqrt{10} = 10 \: {cm}^{2} \: \: \: \: ans[/tex]

Answer:

40

Step-by-step explanation:

The sum equals 80 80/2=40

Answer:

3

Step-by-step explanation: If you write out all the numbers and you cross them out in order you will find that 3 is your median.

Answer:

I'm guessing you would like to know what -4 - 6 is? It's -10.

Step-by-step explanation:

-4 - 6 = -10

You add -4 and 6, and you get -10. I hope this helped or you meant to phrase the question differently.

Answer:

The difference between -4 and 6 is 10

Step-by-step explanation:

Hope this helps :)

Answer:

A

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 13 and h = 4 , thus

A = [tex]\frac{1}{2}[/tex] × 13 × 4 = [tex]\frac{1}{2}[/tex] × 52 = 26 units² → A

Answer:

A, 26

Step-by-step explanation:

Since the area of a triangle is one half base times height, and we have our height as 4, and our base as 13, we get 1/2 * 13 * 4, which is equal to 13 times 2, which is 26. Thus, our answer is A, 26.

Answer:

x ≈ 6.9

Step-by-step explanation:

We use tan∅ to solve this:

tan21° = x/18

18(tan21°) = x

x = 6.90955

Answer:

Step-by-step explanation:

Circumference C=2πr  r=radius [tex]\pi =3.14[/tex]

C=2(3.14)9.7

C=60.9

Answer:

B

Step-by-step explanation:

To solve this, we can make all of the numbers decimals.

π=3.14159265 and so on

Root 10 is about 3.16227766

22/7 is about 3.14285714

3.14 is already a decimal.

Now, our numbers are far easier to compare.

Let's put the numbers in increasing order.

3.14, 3.14159265, 3.14285714, 3.16227766

Substitute the original numbers in.

3.14, π, 22/7, Root 10

Therefore, option B is correct.

Answer:

(B) The electrician charges $40 per hour.

Step-by-step explanation:

Total cost=fixed cost + variable cost

F(x)=60+40x

Fixed cost =60

Variable cost=40x

x=hours of service

40=40 dollar per hour charge

The coefficient 40 represent the electrician charge of $40 per hour

(B) The electrician charges $40 per hour.

Answer:

The real part is -1

Step-by-step explanation:

The real axis is the horizontal axis

The value on the horizontal axis is -1

Answer:

36 degrees.

Step-by-step explanation:

All the angles in a triangle add up to be 180 degrees. Since the ratio is 1:2:2, you can say that the angles are x, 2x, and 2x.

x + 2x + 2x = 180

5x = 180

x = 180 / 5

x = 36

Since the smallest part of the ratio is 1, the smallest angle is 36 degrees.

Hope this helps!

Answer:

[tex]6\:\mathrm{pages}[/tex]

Step-by-step explanation:

[tex]3 \times 4 = 12[/tex]

[tex]1\frac{1}{2} \times 4=6[/tex]

Answer:

6 pages

Step-by-step explanation:

1.5 pages         x pages

--------------- = ------------

3 minutes         12 minutes

Using cross products

1.5 * 12 = 3x

Divide each side by 3

18 /3 = 3x/3

6 =x

6 pages

Answer:

B

Step-by-step explanation:

The question is asking for what y would be when x is 2.

So, look on the graph where x = 2.

When x = 2, y = 6.

This means after 2 hours, the cost is $6

Answer: If you want to make more cookies then what is called for in this situation then you would need 6 cups of milk.

Step-by-step explanation: You have 2 cups of milk and 3 cups of flour of course. In order to make a complete batch you need 2 cups of milk and 3 cups of flour. In order to make a second batch you need the same things as you did for the first batch. Therefore two batches of cookies requires 4 cups of milk and 6 cups of flour. In this situation you want to make 3 batches of cookies. The required items are 6 cups of milk and 9 cups of flour.

Answer:

45 + c = 110

c = 65

Step-by-step explanation:

110 - 45 = 65

Please mark as brainliest!

Answer:

They need to wash 65 more cars to reach their goal.

Step-by-step explanation:

45+c=110

subtract 45 from both sides

c=65

Answer:

C. Multiply 3 by 18

Step-by-step explanation:

Susan reads:

1 page in 3 mins

So,

1 page = 3 mins

If we want the time for 18 pages, we would multiply both sides by 18

So,

18 pages = 3×18 mins

18 pages = 54 mins

Answer:

C

Step-by-step explanation:

1 page every 3 minutes

18 pages will take 3 × 18 = 54 minutes to read.

Step-by-step explanation:

There it is..................

Answer:

(2,5)

Step-by-step explanation:

Answer:

The average rate of change for the amount of money is A) $25 per month

Step-by-step explanation:

From the graph we can see Sarah earn $50 every two months, 50/2 = 25/1 so we can determine Sarah's average rate of change from month 0 to month 12 is $25 dollars per month. Hope this helped, let me know if you have any questions! :)

Answer:

D

Step-by-step explanation:

The figure A will be translated 6 units to the left to make it on figure B

Answer:

C. mean =225.25, median= 212.5

Step-by-step explanation:

You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5

Answer:

C. mean =225.25, median= 212.5

Step-by-step explanation:

Answer:

x<12

Step-by-step explanation:

Divide both sides by 5

5(x+5) < 85

   5         5      

then simply

Answer:

x < 12

Step-by-step explanation:

[tex]5(x+5)<85\\\\5 * x = 5x\\\\5 * 5 = 25\\\\5x+25<85\\\\5x+25-25<85-25\\\\5x<60\\\\\frac{5x}{5}<\frac{60}{5}\\ \boxed{x<12}[/tex]

Answer:

Step-by-step explanation: