2
For the following Arithmetic Sequence, find the explicit form, and then find a 40
11, 1,-9, -19, ...
a40 =
an=

Hello angeltomlin!

[tex]\mathfrak{\frac { \frac { 1 } { 16 } } { 3 }}\\ = \mathfrak{\frac{1}{16\times 3}} \\ = \boxed{\mathfrak{\frac{1}{48} \approx 0.0208}}[/tex]

Steps :

Refer to the attached picture if the steps are not clear.

____________

Lucazz

Lets try one way to solve this system. First, we want to isolate one of the unkown, lets choose y, so we need to remove x from an equation. In order to remove x from an equation, thats what we are going to do :

Line 1:

(3x² - 5y²) * 2 = 22 * 2

6x² - 10y² = 44

We simply multiplied Line 1 by the number 2, this doesn't change anything on the nature of Line 1.

Line 2:

(2x² + 4y²)*3 = 22*3

6x² + 12y² = 66

We simply multiplied Line 2 by the number 3, this doesn't change anything on the nature of Line 2.

Solving your system of equations is exactly the same thing as solving this new system of equation :

6x² - 10y² = 44

6x² + 12y² = 66

It is exactly the same. But it is easier now, because we can remove x from the equation simply by subtracting line 2 from line 1 :

L1 - L2 :

(6x² - 10y²) - (6x² + 12y²) = 44 - 66

6x² - 10y² - 6x² - 12y² = - 22

- 22y² = - 22

y² = 1

y = + 1 or y = - 1

We know have the value of y, we just have to replace it in the equation to solve the entire system :)

3x² - 5y² = 22

since y² will always be equal to one, wether y = 1 or y = - 1, we can write :

3x² - 5 = 22

3x² = 22 + 5

3x² = 27

x² = 27/3

x² = 9

x = + 3 or x = - 3

So the solutions are the following couples in the form (x,y) :

S = { (3 ; 1) , (-3;1) , (3 ; - 1) , (-3 ; -1))

Good Luck

Answer:

D) (4, -6, -1)

Answer:

0

Step-by-step explanation:

m = 3-3/8-(-3)

m = 0/11 = 0

so we know m<3=70

m<2=90

m<2+m<1=m<4

try 50?

let me know if it is wrong

Answer:

310 miles

Step-by-step explanation:

You can set up a proportion and solve for x.

2 6.2

___ = ___

100 x

Cross multiply

2x=6.2*100

Simplify

2x=620

Divide each side by 2

x=310

Answer:

20 million

Step-by-step explanation:

Answer:

C twenty million

Step-by-step explanation:

Round the 2 populations to the nearest million.

The population of California is about 38 million.

The population of Texas is about 20 million.

The difference is 18 million.

The closest choice is 20 million.

Answer: C twenty million

Answer:

Random Sample

Random Sample: Each member of the entire population has an equal chance of being selected. Simple Random Sample: You can select groups of size n from the entire population, and every possible group has the same chance of being selected.

Step-by-step explanation:

Answer:-120

Step-by-step explanation:multiply -6 by 60 seconds which it will give you  -360 in inch’s and then multiply -360 into 4 and that’s -1440 and then combert them into -120

Answer:

0.2% as a decimal is 0.002, 3.71 as a percentage is 371%

Answer:

13. PS ≈ 28.30

14. ∠CDB ≈ 68.74°

Step-by-step explanation:

13 =========================

We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)

[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]

or x ≈ 20.74

Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.

[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]

or y ≈ 28.30

PS ≈ 28.30

14 ======================

Start from ∠A and use tan.

[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]

x ≈ 19.30

Then from ∠CDB, we'll use inverse cos.

[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]

y ≈ 68.74°

∠CDB ≈ 68.74°

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

I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.

Answer:

  A, B, C are perfect squares. Their roots are 22, 66, 89.

  D is not a perfect square. The root is about 94.995

Step-by-step explanation:

Your calculator can help. The integer is a perfect square if its square root is an integer.

  A. √484 = 22 . . . . 484 is a perfect square

  B. √4356 = 66 . . . . 4356 is a perfect square

  C. √7921 = 89 . . . . 7921 is a perfect square

  D. √9024 ≈ 94.9947... . . . . not a perfect square

__

Additional comment

When you compute the square root using the "long division" method, the first step is to divide the radicand into groups of 2 digits. The most significant digit of the root will be the root of the largest square less than the leftmost group.

For example, the first step in finding the root of 4356 is to divide it into the groups 43'56'. The most significant digit of the root will be 6, because 36 = 6² is the largest square less than or equal to 43.

If the number is a perfect square, the least-significant digit of the radicand will be the least-significant digit of the square of the least-significant digit of the root. Here, the least digit of 43'56' is 6, which can only be the least-significant digit of 4² = 16 or 6² = 36. No other single digits have a square ending in 6.

So, if the number 4356 is a perfect square, it must be the square of 64 or 66. It is the square of 66. (If you're familiar with powers of 2, you know 64²=4096.)

Answer:

4/5 or .8

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-6(2(1/3)+3(2/3(3))=

Starting with pedmas (parenthesis, exponents, division, mulitplication, addition, subtraction).

We look at 2*1/3 and 2/3*3

[tex]2*\frac{1}{3}=\frac{2}{3}[/tex] and [tex]\frac{2}{3}*3=2[/tex]

[tex]-6(\frac{2}{3})+3(2)[/tex]=-6+6=0

[tex]v = \dfrac 13 ,~ a = \dfrac 23\\\\-6(2v) +3a(3)\\\\=-12v + 9a\\\\=-12\left(\dfrac 13 \right) + 9 \left( \dfrac 23 \right)\\\\=-4+ 3 \cdot 2 = -4 +6 = 2[/tex]

Answer:

r=1/4

Step-by-step explanation:

Answer:

r = 1/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 2r from both sides.

Step 3: Subtract 1/3 from both sides.

Step 4: Multiply both sides by -3/4.

Therefore, r = 1/4.

Answer:

Step-by-step explanation:

According to given, the function is:

or

This is an exponential relationship

Correct choice is (4)

To determine the money Eric will have in his bank account, he needs to use an exponential function.

This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, to find the amount of money after 10 years, we need to use the formula S = P(1 + r)ⁿ.

Here, S = sum of money after the total period of investment.

P = Principle = $500, r = rate of interest = 3.5%, n = time period = 10 years.

Now, S = $500(1 + 3.5/100)¹⁰ = $500(1 + 0.035)¹⁰ = $500(1.035)¹⁰ = $705.3

Hence, after 10 years, Eric will have $705.3 in his bank account.

Learn more about compound interest here: https://brainly.com/question/25857212

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Answer:

40% but there is no article so I looked it up

Step-by-step explanation:

Answer:

You didn't ask a question.

Step-by-step explanation:

Answer:

...... ANSWER IS IN THE PICTURE

The value of the gift card declined by $37.40.

The total cost of all the items purchased has to be determined.

The sum of these items is $37.40

Change in value = value of the gift card - cost of items

$50 - $37.40 = $12.60

A similar question was answered here: https://brainly.com/question/19891026

Answer:

Total cost of pens = $1.57 x 1 = $1.57

Total cost of pencils = $1.98 x 2 = $3.96

Total cost of folders = $0.75 x 6 = $4.50

Total cost of highlighter: $3.45 x 1 = $3.45

Total cost of notebooks: $2.95 x 5 = $14.75

Total cost of binders: $3.55 x 2 = $7.10

Total cost of paper: $0.69 x 3 = $2.07

The sum of these items is $37.40

Change in value = value of the gift card - cost of items

$50 - $37.40 = $12.60

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Loss=(C.P)-(S.P)

C.P= x and S.P= y

Loss= x-y

Loss= $(x-y)

Answer:

if it's a^2+b^2 question,the answer is 25.

Answer:

c =25

Step-by-step explanation:

a^2 + b^2 = c^2

15^2 +20^2 = c^2

625 =c^2

25=c

Answer:

(5,-3)

Step-by-step explanation:

Answer:

i cant read it

can u type so i can help?

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c represents adding 5 and n together, and multiplying it by four.

Four times the sum of five and a number equivalent expression is 4(5 + n) which is the correct answer would be an option (C).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs arithmetic operations is called arithmetic operator.

Operators let do basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

Let the number be n

To determine the four times the sum of five and a number

The sum of five and a number as

⇒ 5 + n

So, four times the sum of five and a number as

⇒ 4*(5 + n)

Hence, four times the sum of five and a number equivalent expression is  4(5 + n).

Learn more about the expressions here :

brainly.com/question/21751419

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Answer:

80km --- 49.7097mi

Step-by-step explanation:

thats quite slow... but please provide context then i can solve it for you

Answer:

42 dollars

Step-by-step explanation:

2h+h+5=68

3h+5=68

3h=63 divided by 3

21*2=$42