Consider the following geometric sequence

-5, 20, -30, 40, ...

If the explicit formula for the sequence above is expressed in the form aₙ = b*c^n-1, determine the values of b and c.

Answers

Answer 1

Answer:

b = -5 and c = -4

Step-by-step explanation:

The common ratio here is r = 20/(-5), or -4, and the first term, a(1), is -5.  Thus, the explicit formula is

a(n) = a(1)*r^(n -1)    (must use parentheses, as shown)

and so we have a(n) = -5*(-4)^(n - 1).  b = -5 and c = -4


Related Questions

Which is 75% of 24?
A. 0.18
B. 0.6
C. 6
D. 18
E. 1800​

Answers

the answer is 18

have a great day!

Answer:

This Problem is easy its D (18)

Step-by-step explanation:

(y-7)^2=2y^2-4y+73 solve for y

Answers

Answer:

y=-4 or y=-6

Step-by-step explanation:

y^2-14y+49=2y^2-4y+73

y^2+10y+24=0

(y+4)(y+6)=0

y=-4 or y=-6

What is the length of cd? (I NEED HELP ASAP)

Answers

Answer:

5

Step-by-step explanation:

count the spaces between them

b-10 > 5; 14, 15, 16

Answers

b = 16
explanation:
b-10 > 5
16-10 > 5
6 > 5
The other answer choices are less than or equal to 5

Nancy winter local zoo that featured 11 monkey exhibits if these monkey exhibit make up 55% of the zoo exhibits then how many exhibits does the zoo have until the round your answer to the nearest whole number if necessary​

Answers

Answer:

20 total exhibits at the zoo

Step-by-step explanation:

55% of 20 = 11 (monkeys)

help agian this is really hard

Answers

Answer:

true,true,false,false

What is the area of the figure?

Question 12 options:

a)

42.5 square meters


b)

50.0 square meters


c)

57.5 square meters


d)

65.0 square meters

Answers

Answer:

area is length times width, so multiply the length and the width together and youll find the answer is 50. so b

Step-by-step explanation:

The area of the figure which is composite of rectangle and triangle is 42.5 square meters

What is Area of Rectangle?

The area of Rectangle is length times of width.

Let us find the area of rectangle whose length is 7 m and width is 5 m

Area of rectangle =7×5

=35 square meters

Now we observe the figure there is right triangle whose base is 3m and height is 5m

Area = 1/2×3×5

=7.5 square meters

Total area is sum of rectangle area and triangle area

Total area = 35+7.5

=42.5 square meters

Hence, the area of the figure which is composite of rectangle and triangle is 42.5 square meters

To learn more on Areas click:

https://brainly.com/question/20693059

#SPJ2

Which number is a constant in the algebraic expression? Negative x squared minus 6 y + 13 x + 7

Answers

Answer: 7

Step-by-step explanation:

-x^2 -6y+13x+7

The constant is the term with no variable attached to it

7 is the constant

Answer:

7

Step-by-step explanation:

One of the legs of a right triangle measures 14 cm and the other leg measures 5 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

14.9cm

Step-by-step explanation:

hope it helps you good day.

the average rate of change btween 0 and 25.​

Answers

1500000 square feet north korea

last thing please put the right answer. person who i will not mention.

Answers

Answer:The first one

Step-by-step explanation:

Cheap data's distribution is more symmetrical

The product of two rational numbers is -42/63. One of the rational numbers is 7/27. Find the other.

Chapter : Rational Numbers​​

Answers

Answer:The other rational number= -18/7

Step-by-step explanation:

The product of the two rational numbers is -42/63.

One of the rational number=7/27

The other rational number whch can be called R can be gotten by diving the product by the rational numvber goven

R x  7/27   =-42/63.

-42/63 ÷  7/27=R

R=-42/63 X 27/7

R= -18/7

Marcel rides his bicycle to school and back on Tuesdays. He lives 2.62 kilometers away from school. What is the total amount of distance that Marcel rides his bike on a given Tuesday?

Answers

Answer:

5.24 kilometers

Step-by-step explanation:

Marcel rides his bike to and fro to school every Tuesdays

He lives 2.62 kilometers away from the school

The total amount of distance he rides every Tuesday can be calculated as follows

= 2.62×2

= 5.24 kilometers

Hence the total distance he rides to school is 5.24 km

Write the equation of the vertical and horizontal lines through ( - 1,9).

Answers

Answer:

Step-by-step explanation:

horizontal line: y=9

vertical line: x = -1

Find the smallest solution to the equation 2/3 x^2 =24

Answers

Answer:

\frac{2x^2}{3} =24

Step-by-step explanation:

times both sides by 3

2x²=72

divide both sides by 2

x²=36

sqrt both sides

x=+/-6

x=-6 or 6

-6<6 so -6 is the smallest solution

what is equivalent to
20 ( 1/4 x + 3/5 x )

Answers

Answer:

17x

Step-by-step explanation:

Distribute 20 to both fractions:

20/4 x + 60/5 x

Simplify them:

5x + 12x

Add them:

17x

The answer would be 17x

The sum of all the prime factors of 18 is​

Answers

Answer:

The factors of the number 18 are: 1, 2, 3, 6, 9, 18. If you add them up, you will get the total of 39.

Solve the equation for all real solutions.
3c^+4c+8=-6c

Answers

Answer:

c = -4/3, -2

Step-by-step explanation:

3c^2+4c+8=-6c

3c^2+6c+4c+8=0

3c(c+2) + 4(c+2)=0

(3c+4)(c+2)=0

3c+4=0

c=-4/3

c+2=0

c=-2

I need help finishing RT. Please help. I do not know what to do. Any help will be appreciated:))

Answers

Answer:

RT = 86

Step-by-step explanation:

Here, we want to find the value of RT

looking at the given triangle, we can deduce that the smaller triangle SPQ is half the measure of the bigger triangle SRT

what this mean is that we have to multiply the dimensions on SPQ by 2 to get the equivalent dimensions of similar sides in SRT

Thus, we have it that;

2(15x -17) = 23x -6

30x - 34 = 23x -6

30x -23x = -6 + 34

7x = 28

x = 28/7

x = 4

So, we make a substitution

for RT;

23x-6

= 23(4) - 6 = 92-6 = 86

If Janet has 5 yards of fabric that is 2 1/4 feet wide, and she used 1/3 of it to make one kind of curtains, and the rest to make another kind, what is the area of the fabric she used for the first kind of curtains?

Answers

11 1/4

Step-by-step explanation:

the yards have to be converted to feet

1 yards = 3 feet

5 yards x 3 = 15 feet

Area of a rectangle = length x width

15 x 2 1/4

15 x 9/4 = 33 3/4

33 3/4 x 1/3 = 135 /12 = 11 1/4

On a coordinate plane, the location of 3 points are: (0, 6). (5. -4), and (-1-5). Where would the fourth point need to be located in order to form a parallelogram?

Answers

Given:

The three vertices of parallelogram are (0,6),(5,-4),(-1,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Consider the given vertices of parallelogram are A(0,6), B(5,-4), C(-1,-5).

Let the fourth vertex be D(a,b).

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

We know that the diagonal of parallelogram bisect each other. It means their midpoints are same.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{0+(-1)}{2},\dfrac{6+(-5)}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)[/tex]

[tex]\left(\dfrac{-1}{2},\dfrac{1}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{5+a}{2}=-\dfrac{1}{2}[/tex]

[tex]5+a=-1[/tex]

[tex]a=-1-5[/tex]

[tex]a=-6[/tex]

And,

[tex]\dfrac{-4+b}{2}=\dfrac{1}{2}[/tex]

[tex]-4+b=1[/tex]

[tex]b=1+4[/tex]

[tex]b=5[/tex]

Therefore, the coordinates of fourth vertex are (-6,5).

geometry ^

please help me with this problem

Answers

I think it’s 20 sorry if it’s wrong

9 x [5 - (9 divided by 3)]

Answers

Answer:

9 X [5-(9divided by 3)] = ?

Answer is 18.

I put the equation into my calculator and solved it.

Step-by-step explanation:

Hope that this helps1 :)

Have a great rest of your day!

Answer:

18

Step-by-step explanation:

9 * (5 - (9 divided by 3))

9 * (5 - 3)

9 * 2

= 18

:)

find the quantity whose 17 % is rupees 8500​

Answers

Rs 121428.5714 is Answer:

let quantity be x

17% of x=Rs 8500

x=8500×100/7=Rs 121428.5714

Help, please!

It's about the angle of depression

Answers

Answer:

Im pretty sure its C

Step-by-step explanation:

lf 60% of a number is 90, what is it number? a)30 b)54 c)150 d)180​

Answers

Hogshodoydyioyyxxgjgxxigxxgigxix

find the value of x by finishing solving the equation shown below

Answers

Answer:

Final answer is x = -2

Step-by-step explanation:

-6x-3=9

add 3 to -3 and to 9 (we add 3 because its a negative)

9+3 becomes 12.

now we are left with -6x=12

divide on both sides, -6x divided by -6, and 12 divided by -6.

this leaves us with -2.

x= -2

The tiles below represent the polynomial 27 + 7x+6.
X X 1 1 1
X2
x X2 X2 xxx
1 x x 1 1 1
1 X X 1 1 1
х
х
1
What is the factorization of 2x2 + 7x+6?
A. (2x+ 2)(x+3)
B. (x+3)(x+6)
C. (x+3)(x + 2)
D. (2x+3)(x+2)

Answers

Answer:

The tiles below represent the polynomial 27 + 7x+6.

X X 1 1 1

X2

x X2 X2 xxx

1 x x 1 1 1

1 X X 1 1 1

х

х

1

What is the factorization of 2x2 + 7x+6?

A. (2x+ 2)(x+3)

B. (x+3)(x+6)

C. (x+3)(x + 2)

D. (2x+3)(x+2)

Step-by-step explanation:

The factorization of 2x² + 7x + 6 is D. (2x+3)(x+2).

How to solve the factorization?

The factorization of 2x² + 7x+6 is illustrated below:

= 2x² + 7x + 6

= (2x² + 4x) + (3x + 6)

= 2x(x + 2) + 3(x + 2)

= (2x + 3)(x + 2)

Therefore, the factorization of 2x² + 7x + 6 will be (2x+3)(x+2).

In conclusion, the correct option is D.

Learn more about factorization on:

https://brainly.com/question/25829061

1325\1500X 100\1



guys help​

Answers

Answer:

Exact Form:

265/3

Decimal Form:

88.3 (with a line over the 3)

Mixed Number Form:

88 1/3

4−0.25g+0.5h4, minus, 0, point, 25, g, plus, 0, point, 5, h when g=10g=10g, equals, 10 and h=5h=5h, equals, 5.

Answers

Answer:

4

Step-by-step explanation:

Given:

4 - 0.25g + 0.5h

When,

g = 10; and h = 5

4 - 0.25g + 0.5h

= 4 - 0.25(10) + 0.5(5)

= 4 - 2.5 + 2.5

= 4

Therefore,

4 - 0.25g + 0.5h = 4 when g = 10 and h = 5

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