Find the next two numbers in the pattern -96, 48, -24, 12,...​

Answers

Answer 1

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given sequence is a geometric ~

let's find the common ratio (r) first ~

[tex] \dfrac{48}{ - 96} [/tex]

[tex] - \dfrac{1}{ 2} [/tex]

And the first term (a1) of the sequence is ~ -96

let's find the 5th and 6th term.

The value of 5th term is ~

[tex]a_1{(r )}^{n - 1} [/tex]

[tex] - 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 - 1} [/tex]

[tex] - 96 { \bigg( - \dfrac{ 1}{2} \bigg) }^{4} [/tex]

[tex] - 96 \times \dfrac{1}{16} [/tex]

[tex] - 6[/tex]

The value of 6th term is ~

[tex]a_1{(r )}^{n - 1} [/tex]

[tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{6 - 1} [/tex]

[tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 } [/tex]

[tex] - 96 \times - \dfrac{1}{32} [/tex]

[tex]3[/tex]


Related Questions

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf’s average speed. How fast does Red Riding Hood drive?

Answers

Using the relationship between velocity, distance and time, it is found that Red Riding Hood drives at 54 mph.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route, at a speed of 6 mph faster, hence the equations are:

[tex]v = \frac{432}{t}[/tex]

[tex]v + 6 = \frac{432}{t - 1}[/tex]

From the first equation:

[tex]t = \frac{432}{v}[/tex]

Replacing on the second equation:

[tex]v + 6 = \frac{432}{t - 1}[/tex]

[tex]v + 6 = \frac{432}{\frac{432}{v} - 1}[/tex]

[tex]v + 6 = \frac{432v}{432 - v}[/tex]

[tex]432v - v^2 + 2592 - 6v = 432v[/tex]

[tex]v^2 + 6v - 2592 = 0[/tex]

(v + 54)(v - 48) = 0.

The velocity is positive, hence:

v - 48 = 0 -> v = 48 mph.

Red Riding Hood drives 6 mph faster than Wolf, hence:

v + 6 = 48 + 6 = 54 mph.

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Answer: 54 mph.

Step-by-step explanation:

took the test and got it  correct. edge.

what is the ratio of 4:5​

Answers

8:10 and/or 12/15 I’m writing this bc my answer has to be a certain length xd

Can you help me I have a basketball game Tuesday and if I don’t pass I can’t play plz !!

Answers

Answer:  109

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

Explanation:

Angles A and B are supplementary which mean they combine to form a straight line. This further means the angles add to 180.

A+B = 180

(8x-27) + (4x+3) = 180

(8x+4x) + (-27+3) = 180

12x-24 = 180

12x = 180+24

12x = 204

x = 204/12

x = 17

Use this x value to find angles A and B

A = 8x-27 = 8*17-27 = 109B = 4x+3 = 4*17+3 = 71

Note how A+B = 109+71 = 180 to help verify the answer.

Answer:

109

Step-by-step explanation:

supplementary angles equals 180 degrees

8x-27+4x+3=180

12x-24=180

12x=204

x=17

Then you put the 17 where the x is

8(17)-27=109

In a telephone poll, 11 people said they like shopping and 9 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the number of people who like shopping? hurry I need helpppp

Answers

Answer:

9:11

Step-by-step explanation:

well 11 and 9 can be simplified so......

someone help me please :D ill give brainliest and 32 points :))

Answers

Answer:

Could you please show me the question?

Step-by-step explanation:

solve for x, find the measure of all angles hurryyyyyyy! ​

Answers

Answer:

x=6 as 180 in triangle take away 150 30 by 5 is 6

Can somebody help ???

Answers

Answer:

2/5, a and b

Step-by-step explanation:

which one is the answer? Please i need this quick

Answers

Answer:

Step-by-step explanation:

what is the question

Work out
(
7
×
10

3
)

(
4
×
10

5
)
Give your answer in standard form.

Answers

Answer:

32

let me know if its correct!

2) Write the following equations in the statement form.
a) 2a + 7 = 15
b) 4m - 6 = 2
pls I need help

Answers

Answer:

A) a = 4

B) m = 2

Step-by-step explanation:

A) 2a + 7 = 15

2a + 7 - 7 = 15 - 7

2a = 8

2a/2 = 8/2

a = 4

B) 4m - 6 = 2

4m - 6 + 6 = 2 + 6

4m = 8

4m/4 = 8/4

m = 2

Answer:

a = 4 and m = 2.

a) Find the value of a if the total of a being doubled and added to 7 is 15.

b) Find the value of m if the total of m being multiplied by 4 and being subtracted by 6 is 2.

Step-by-step explanation:

2a + 7 = 15

→ Minus 7 from both sides

2a = 8

→ Divide both sides by 2

a = 4

4m - 6 = 2

→ Add 6 to both sides

4m = 8

→ Divide both sides by 2

m = 2                

Equation
Graph
y = 2x +

y=-*x+2

y = –20 - 3

y = 3x - 2

Answers

Answer:

I had to interpret y=-*x+2  and y = –20 - 3:

y = -x+2 and y=-20x-3

Graph the equations on DESMOS.  The result is attached.

Step-by-step explanation:

Type the missing number in this sequence:
5,
12, 19,
26,

Answers

Answer:

33

Step-by-step explanation:

You are adding 7 each time.

Hope this helps :)

Answer:

33

Step-by-step explanation:

Sequence is the progression of a number in a sequencial order.

[tex]5 + 12 + 19 + 26 + 33[/tex]

uhmmm helppppppp pls lol​

Answers

Answer:

h=81

Step-by-step explanation:

Dont know how to explain but this is the answer

ANSWER FOR BRAINLIEST
Identify the graph for the point C(−2, −1, 2) in three-dimensional space.

Answers

Answer:

the topmost one maybe?

Step-by-step explanation:

I'm guessing since X & Y are negative, (it's written X,Y,Z, right?)

The point would be reducing on the X&Y axes, an since Z is positive, it would increase on the Z axis

The point C( -2,-1, 2) is represented by option 4 in the three dimensional space

What does the coordinates of a point mean in a three dimensional space?

Let (x, y , z) be any point in the three dimension then x represents x-coordinate, y represent y-coordinate and z represent z- coordinate

The point C( -2, -1. 2) represent point with x = -2 , y = -1  and z = 2

(-2,-1) is point with x= -2 and y = -1 represent  is marked in the the x y plane in fourth quadrant and z =2 means that this (-2,-1 ) is taken 2 units up in the perpendicular direction of positive z- axis as shown in the attached figure.

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Mia bought 6 pounds of bananas for $3.54. How much does 1 pound of bananas cost?

Answers

Answer:

$0.59

Explanation:

$3.54 divided by 6 is $0.59. This concludes that 1 pound is $0.59. Hope this helps!

The cost of 1 pound of banana will be $0.59 per pound.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mia bought 6 pounds of bananas for $3.54.

The cost of 1 pound of banana is given by the division of the total cost for 6 pounds and 6. Then we have

⇒ $3.54 / 6

⇒ $0.59 per pound

The cost of 1 pound of banana will be $0.59 per pound.

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what is 1/5 x 2/4 as a fraction

Answers

Answer:

2/20

Step-by-step explanation:

Answer:     7/10

Step-by-step explanation:

Evaluate (x + 3)? – 6 when x = 4.​

Answers

Answer:

D. 43

Step-by-step explanation:

1. To evaluate the expression, we plug in the value of 4 into x and simplify.

[tex](4+3)^2-6[/tex] [tex](7)^2-6[/tex] [tex]49-6[/tex] [tex]43[/tex]

Therefore, the answer is D. 43.

Answer:

43

Step-by-step explanation:

(4 + 3)^2 - 6

7^2 - 6

49 - 6

43

Find the perimeter of an isosceles triangle. The base is 3y and each side is (0.6y-7).

Answers

Answer:

Perimeter = 4.2y - 14

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sided of the triangle.

In an isosceles triangle, there are two equal sides and a base.

Perimeter = (0.6y - 7) + (0.6y - 7) + 3y

Perimeter = (0.6y + 0.6y + 3y) - 7 - 7

Perimeter = 1.2y + 3y - 14

Perimeter = 4.2y - 14

Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown: A coordinate grid is shown from negative 5 to 0 to 5 on both x- and y-axes. A polygon ABCD has A at ordered pair 2, 3, B at ordered pair 4, 4, C at ordered pair 3, 1, D at ordered pair 2, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 1, 3, B prime at ordered pair negative 3, 4, C prime at ordered pair negative 2, 1, D prime at ordered pair negative 1, 1. Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD? Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 1 unit Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 1 unit Reflection about the x-axis followed by a translation to the left by 1 unit Reflection about the y-axis followed by a translation to the right by 1 unit

Answers

1 2 and 4 are the corrects answers I’m sorry if wrong

Can somebody pls help me I’ve been stuck for hrs and I’m new to geometry:(

Answers

Answer:

1 )

side PL = AH given

side NM = SF given

Side LM = HF

Make sure you put a line above the sides when writing it down and a squiggle ontop of the equal sign

2)

Side DE = XU Given

Side CF = WV Given

Side DC= XW Given

side EF=UV Given

3)

Side NM = ET Given

Side NO = TU Given

<MNO = <TEU Given

Answer:

OPLMN is congruent to YAHFS

DEFC is congruent to XUVW

ONM is congruent to UET

Step-by-step explanation:

just change the "is congruent to" to the congruent sign also you need to use the excat order

Sry for late response

What is the solution to the inequality -6_5>-29

Answers

Answer:

If it's true or false than it's true.

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answers

Answer:

top box) 216

middle box) 54

bottom box) 4

Step-by-step explanation:

surface area is 6s^2

top) side = 6 so

[tex]6(6^{2})[/tex]

6(36)

216

middle) side = 6 so

[tex]6(3^{2})[/tex]

6(9)

54

bottom)

216/ 54

4

Chad collected 256 M&Ms but lost 5/8 of them on his way to
sehool through a hole in his
bag. When he arrived at school how many M&Ms did Chad have left?

Answers

Chad had 96 M&Ms left when he arrived at school.

Chad initially collected 256 M&Ms.

However, he lost 5/8 of them on his way to school through a hole in his bag.

To determine how many M&Ms Chad had left when he arrived at school, we need to calculate the fraction that represents the M&Ms he did not lose.

If Chad lost 5/8 of the M&Ms, it means he kept 1 - 5/8 = 3/8 of them.

To find the number of M&Ms Chad had left, we multiply 3/8 by the total number of M&Ms he initially collected:

(3/8) [tex]\times[/tex] 256 = (3 [tex]\times[/tex] 256) / 8 = 768 / 8 = 96.

Therefore, Chad had 96 M&Ms left when he arrived at school.

In summary, Chad initially collected 256 M&Ms but lost 5/8 of them, leaving him with 3/8 of the total.

Multiplying 3/8 by 256 gives us 96 M&Ms, which is the number of M&Ms Chad had left when he arrived at school.

For similar question on fraction.

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Write the equation of the line described below in point-slope form.

Answers

Answer:

just pay attention dude

fill in the two blanks Geometry problem, Two sides of a triangle have Lengths 15 and 20 the length of the third side can be any number greater than blank and less than blank

Answers

Answer:

15*20=300

Step-by-step explanation:

The two lengths is equal to there hundred

PLEASE HELP WILL MARK BRAINILEST

1. The formula for the volume of a rectangular box is V = lbh. What is the formula for h in terms of V, l and b?

2. Solve 7x + 3y = m, for y

3.The formula for the potential energy P = mgh. What is the formula for m in terms of P, g, and h?

Answers

Answer:

1. h = V/lb

2. y = (m - 7x)/3

3. m = P/gh

3/7 rounded to the nearest thousand

Answers

3/7= 0.42857143
rounded to the neared thousandth, it is 0.429
The answer is 0.429
Have a great day/night

(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)

Answers

Answer:

5.39

Step-by-step explanation:

To find the third side (let's call it x) you plug the side lengths given into the Pythagorean theorem to get:

5² + 2² = x²

Which, simplified, is:

25 + 4 = x²

And to get x, you do:

x=√(29)

So, if you want it to the nearest hundredth, it is 5.39.

square root of 29.00

Step-by-step explanation:

5square +2square=29 to the nearest hundredth 29.00 .but there is no square root of 29

The number 43.9 is 24% of x. What is the value of x rounded to the nearest whole number?

Answers

Answer:

183

Step-by-step explanation:

percentage=actual/base

B=A/P

B=43.9/0.24

B= 182.9=183

The value of x rounded to the nearest whole number is 183.

What is Percentage?

In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As per the given data:

Number = 43.9

The given number is 24% of x.

Percentage = (value / total) × 100

By substituting the given data:

24 = (43.9 / x) × 100

x = (4390/24)

x = 182.91

after rounding off to the nearest whole number

x = 183

Hence, the value of x rounded to the nearest whole number is 183.

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Which of the following could be the areas of
the three squares below?
A. 12 f12, 16 f12 and 28 f12
B. 8912, 16 pt2 and 24 P12
C. Both A and B
D. Neither A nor B

Answers

Answer:

A. 12 f12, 16 f12 and 28 f12

Step-by-step explanation:

The Pythagoras theorem states the addition of squares of the lengths of the two short sides of the right triangle is the same as the square of the length of the hypotenuse. Using the Pythagoras theorem, you may find the correct answer option A

Learn more: https://brainly.com/question/19528577

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