Which sequence is geometric? 1, 5, 9, 13, ... 2, 6, 8, 10, ... 5, 7, 9, 11, ... 4, 8, 16, 32, ... ​

Answer:

-9

Step-by-step explanation:

-9, -2, 5, 12,.........

The first term is the first number in the sequence

-9

[tex]\sf{   }[/tex] 

The first first term in the following arithmetic sequence

-9, -2, 5, 12, .. is -9

Answer:

35 ways

Step-by-step explanation:

Alex has 9 friends and wants to invite 5 friends. Since Alex requires two of his friends who are twins to come together to his birthday party, since the two of them form a group, the number of ways we can select the two of them to form a group of two is ²C₂ = 1 way.

Since we have removed two out of the nine friends, we are left with 7 friends. Also, two friends are already selected, so we are left with space for 3 friends. So, the number of ways we can select a group of 3 friends out of 7 is ⁷C₃ = 7 × 6 × 5/3! = 35 ways.

So, the total number ways we can select 5 friend out of 9 to  party come to the birthday include two friends is  ²C₂ × ⁷C₃ = 1 × 35 = 35 ways

Answer:

Both cabins do not have the same ratio of swimmers to total kids.

Step-by-step explanation:

The ratio of swimmers to total kids in the yellow cabin is:

4 : 10

The ratio of swimmers to total kids in the blue cabin is:

5 : 15

4 : 10 and 5 : 15 are not equivalent ratios because:

LCM of 10 and 15 is 30

Multiply each term in a ratio by a number so that the second term is 30:

4 x 3 = 12

10 x 3 = 30

4 : 10 = 12 : 30

5 x 2 = 10

15 x 2 = 30

5 : 15 = 10 : 30

12 : 30 and 10 : 30 are NOT the same ratios.

Hope this helps!

Answer:

y = 1/2x - 3 (option - d)

Step-by-step explanation:

The lines are parallel if they have the same slope/gradient. So by comparing with y = mx + c (where 'm' is the slope and 'c' is the y-intercept).

Line y = 1/2 x - 6 has the slope m = 1/2

and the line in option 'd'

y = 1/2 x -3 has the slope m = 1/2

Slopes are equal and lines are parallel.

Thank-you.

#Muhib

Answer:

x= 80

Step-by-step explanation:

70 +30=180

sum of angles is triangle is 180 degree

sp 180-100= 80

Answer:

80 degrees

Step-by-step explanation:

Triangle= 180 degrees

70+30=100

180-100=80

Answer:

32 paperback books

Step-by-step explanation:

Given that :

Width of hardcover books = 1 1/2 inches

Width of paperback books = 3/4 inches

Number of hardcover books already on shelf = 8

Total width of shelf = 3 feets

1 foot = 12 inches

Hence, total shelf width in inches = (12 * 3) = 36 inches

Total width of hardcover books = (8 * 1 1/2) = 12 inches

Total shelf width left = (36 - 12) inches = 24 inches

Maximum number of paperback books :

Total shelf width left / paperback width

24 inches / (3/4)inches = 32 paperback books

Answer:

Choice D. [tex]F(x)=x^2-4[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

That 3 sitting outside there in that little "box" thing is a root/solution/zero of the polynomial. The numbers underneath the line are the coefficients of the depressed polynomial, which means that the polynomial is 1 degree lower than the degree with which we started. If we started with an x-squared, this degree is a single x, better known as linear (a line). Anyway, (x - 3) is a zero of the polynomial, which also means that it's a factor. So A applies. x = 3 is a root, so C applies. And F also because the depressed polynomial, the remainder, is 2x + 4.

Answer:

81 km

Step-by-step explanation:

Speed = distance / time

speed and time are measured in different units, thus, time has to be converted to seconds

60 second = 1 minute

90 x 60 = 5400 seconds

15 m /s = distance / 5400 seconds

distance = 81,000 metre

1000m = 1 km

81000 / 1000 = 81km

Answer:

Step-by-step explanation:

One way to match an equation of a straight line with the graph of a straight line is to use the slope and y-intercept. Here is an example of the graph of an equation. Below is the graph of the equation y = 2 x + 10.

Answer:

{ January, February, march} ∪ {April, May, June} =

{ January, February, march ,April, May, June}

~~~~~~~~~~~~~~~~~~~~~~~~~~~~

{ January, February, march} ∩ {April, May, June} = {} = ∅ = null set

Step-by-step explanation:

The union of sets is {January, February, march, April, May, June} and the intersection of sets is {∅}.

A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.

Let, A={January, February, march} and B={April, May, June}

Now, union of sets is

A∪B={January, February, march}∪{April, May, June}

= {January, February, march, April, May, June}

Intersection of sets is

A∩B={January, February, march}∩{April, May, June}

= {∅}

Therefore, the union of sets is {January, February, march, April, May, June} and the intersection of sets is {∅}.

To learn more about the Venn diagram visit:

https://brainly.com/question/28060706.

#SPJ2

Answer:

Step-by-step explanation:

Step-by-step explanation:

here's the answer to your question

Answer:

Q.8 . circumference of circle =2×pi×r

157cm =2×3.14×r

157cm =6.28×r

157cm/6.28 =r

25cm =radius

Q.9. circumference of circle=2×pi×r

99cm =2×22/7×r

99cm =44/7×r

(99cm×7)/44=r

15.75cm =r

2×15.75cm =diameter

31.5cm=diameter

Answer:

1.5×10^17

Step-by-step explanation:

it would be better to first multiply the two then divide the answer by 9.4×10^-3

I hope this helps

Answer:

The answer is 3x=50-10y

Answer:

$1.27

$9030.56

$2,210.34

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/n)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

1. 1( 1 + 0.24 /12)^12 = $1.27

2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56

the formula for calculating future value when there is continuous compounding is : A x e^r x N

A= amount e = 2.7182818 N = number of years r = interest rate

3. 1000 x e^0.1 x 2 = $2,210.34

Answer:

B: 63

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

When you combine both angles, you can get a supplementary angle which means that when they are both added, it should add up to be 180 degrees. With that being said, we can create an equation and solve for x.

5x - 5 + 2x + 10 = 180

~Combine like terms

7x + 5 = 180

~Subtract 5 to both sides

7x = 175

~Divide 7 to both sides

x = 25

Best of Luck!

Answer: x = 25

Step-by-Step Explanation:

We are given a line, hence it is a straight angle being 180°

Therefore,

=> 5x - 5 + 2x + 10 = 180

= 5x - 5 + 2x = 180 - 10 = 170

= 5x + 2x = 170 + 5 = 175

= 7x = 175

=> x = 175/7 = 25

Therefore, x = 25

Additionally, finding the values of each angle :-

=> 5x - 5

= 5(25) - 5

= 125 - 5

=> 120°

=> 2x + 10

= 2(25) + 10

= 50 + 10

=> 60°

Therefore, one angle is 120° and the other is 60°

Answer:

22/7×9×3=22×9×3=594÷7=84.85

Answer:

56.5 For Acellus Users

Step-by-step explanation:

Step 1. 2 x 3.14(pi) x radius(3) x height(3)

Step 2. Once added up should equal 56.5

Remember 2 x 3.14 x 3 x 3 = 56.5

Answer:

2 x^3 ( x-3)

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

5 (x+3)

Step-by-step explanation:

12 x^4 ( x-3) (x+5)

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

30x (x+3) (x+5)

Cancel the x+5

12 x^4 ( x-3)

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

30x (x+3)

Rewriting 12x^4 and 30x

6*2 x^3 *x ( x-3)

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

6*5 x (x+3)

Canceling 6x

2 x^3 ( x-3)

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

5 (x+3)

Answer:

12500

Step-by-step explanation:

11830 - 10464 = 1366 (difference 1995 to 96)

10464 - 8958 = 1506 (94 to 95)

8958 - 8135 = 823

8135 - 7537 = 598

7537 - 6642 = 895

6642 - 5942 = 700

5942 - 3579 = 2363 (5 years)

so, we have the annual differences over 11 years.

the expectation for the following year would be based on the mean value of growth rate and not on the mean value of the absolute numbers, as we know the number of transactions for 1997 will be higher than for 1996.

so, the mean value of growth over these 11 years is 750.

so, based on this we would estimate for 1997

11830 + 750 = 12580 (12500 being the closest answer option).

but if the business environment has changed over the most recent years, we should not bring in earlier years into that calculation (or at least not with the same weight).

we could argue that the last 2 years had a totally different behavior than the years before.

so, just creating a mean value of the last 2 years' changes would be

(1366 + 1506) / 2 = 2872 / 2 = 1436.

now, or prediction would be

11830 + 1436 = 13266, which would be closer to the 13500 answer option.

Answer:

0.463

Step-by-step explanation:

Answer:

quotient is 0.4639175258

Step-by-step explanation:

quotient is the result of dividing the two numbers

-45 / -97 = (-1)*45 / (-1)*97= , simplify -1/-1 because equals 1

45/97 = .4639175258 , using the calculator

45/97 =0 R 45, zero is the quotient and 45 is the remainder

Answer: Choice A)  x = 6.4

To get that answer, you add 4.3 to both sides. This is to undo the "minus 4.3" and isolate the x.

Answer:

[tex]x - 4.3 = 2.1 \\ x - 4.3 + 4.3 = 2.1 + 4.3 \\ \boxed{x = 6.4}[/tex]

Answer:

C

Step-by-step explanation:

Inverse function's domain and range flip when comparing them to their original function

Answer:

1. 10

2. 12.3

3. 34.5

and this will be the correct answer.

Answer:

2/9

Step-by-step explanation: