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

What is the interquartile range of the lengths of bananas?

Answers

Answer:

I couldn't decipher your question heres a graph for https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984252/

that contains quartile ranges of stored bananas

Step-by-step explanation:

If this doesn't help please correct your question or tell me more so I can better help you

The population density of Peru one year was approximately 23 people per square kilometer. Brazil has a land area of approximately 8. 5 million square kilometers. If Brazil had the same population density as Peru that year, approximately how many people were living in Brazil? 370,000 people 2,700,000 people 31,500,000 people 195,500,000 people.

Answers

Answer:

195,500,000 people.

Step-by-step explanation:

8.5 mil times 23 equals 195,500,000

After school, Cindy had a science club meeting for 55 minutes, followed by a choir rehearsal that lasted for 1 hour and 35 minutes. If Cindy got out of school at 1:15 P.M., what time did the choir rehearsal end?
Please help

Answers

Answer:

3:10

Step-by-step explanation:

Total time=1h 35minMeeting=55minTime of choir rehearsal=1h35min-55min=40min

Disposal time=1:15PM

Choir ending time:-

[tex]\\ \sf\longmapsto 1:15-0:40=12:35PM[/tex]

4.875 = d - 2.125

what do I do here?​

Answers

Answer:

d=7

Step-by-step explanation:

7-2.125= 4.875

7 is your answer as it balances both sides of the equation.

i got seven by adding 2.125. to 4.875

Answer:

Step-by-step explanation:

1. add 2.125 to both sides of your equation

4.875 = d - 2.125

+2.125        +2.125

7 = d

The d is now isolated which allows us to see the answer is 7 for d

Please help!! I’m taking a math course a grade above mine but since i’m on break my teacher isn’t able to help me.

Answers

Answer:

Slope = ½

Step-by-step explanation:

Given the two points on the graph, (-4 , 0) and (0, 2):

Let (x₁, y₁) = (-4 , 0)

      (x₂, y₂) = (0, 2)

Substitute the given points into the following slope formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: -\:(-4)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: +\:4}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2}{4}\:=\:\frac{1}{2}}[/tex]

Therefore, the slope of the line is ½.



ASP please


What is the slope of the line on the graph

Answers

Answer: 6

Step-by-step explanation:

Let's look at two points on this line (1, 5), and (0, -1)

Using the slope formula ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex])

[tex]\frac{((5) - (-1))}{(1)-(0)}[/tex]

[tex]\frac{6}{1}[/tex]

Hope it helps :)

Answer:

Well you could count and use the Rise/Run method, or you could use the Slope formula (x2 - x1) / (y2 - y1)

From point (0, -1) to point (1, 6) would look like this

(1 - 0) / (6 + 1) = 1/7, so your slope is 1/7

Since you already have you y-intercept (where x is 0), your whole equation would be this:

y = 1/7x - 1

If f(x)=X^2+1, g(x)=9x_1

Answers

Answer:

I dod not understand the question. Do you need to find the solution? ifso, it is (0,1)

Step-by-step explanation:

What is the equation of a line with a y-intercept at (0, 2) and a slope of 3? a. y = 2 x + 3 c. y = 3 x + 2 b. y = 3 x minus 2 d. y = negative 2 x + 3

Answers

Answer:

C) y = 3x + 2

Step-by-step explanation:

Given the slope of the line, m = 3, and the coordinates of the y-intercept, (0, 2).

We can substitute these values into the following slope-intercept form, y = mx + b, where:

m = slope

b = the y-coordinate of the y-intercept.

Therefore, the correct answer is option C, where it shows the equation of the line in slope-intercept form is: y = 3x + 2.

Select the correct expression. Which expression is equivalent to 5^4 · (5^-2)^3 ?
5-^3
5^2
5^-2
5^-1

Answers

we have 5^4 . (5^-2)^3 = 5^4 . 5^-6 = 5^ (4-6) = 5^-2

ok done. Thank to me :>

What is 4600000 in standard form?

Answers

Answer:

4.6x10^6

Step-by-step explanation:

4.6x10^6=46000000

PRETTTTYYYYYYYYYYY PLS HELP ME RN

Answers

Answer:

(5,-3)

Step-by-step explanation:

We can substitute the y in the second equation by the first equation:

2x+3(x-8)=1->

2x+3x-24=1 ->

5x-24=1 ->

5x=25 ->

x=5.

Then solve for y in the first equation:

y=5-8 ->

y=-3.

So the first is correct:

(5, -3)

Hope that helps! :)

Answer:

First option: (5,-3)

Step-by-step explanation:

First turn the second equation to slope intercept form (y=mx+b):

Subtract 2x on both sides to get 3y = -2x + 1, then divide 3 on both sides to get y = -2/3 x + 1/3.

Now you can graph both, and the solution would be the point that intercepts both of these lines.

(Here it is graphed above for you⤴⤴⤴)

Hope this helps :)

simplify by combining like terms 3k-2k​

Answers

The answer would be 1k

Answer:

k

Step-by-step explanation:

3k-2k=1k

1k=k so this is the answer

Evelyn bought snacks for her team's practice. She bought a bag of chips for $2.99 and
a 20-pack of juice bottles. The total cost before tax was $36.39. Write and solve an
equation which can be used to determine i, how much each bottle of juice costs.

Answers

(36.39- 2.99)/20

Total- chips, so total amount for juice.

Then, divide by 20 because she bought 20 bottles

Answer:

1.67

Step-by-step explanation:

36.39 - 2.99 = 33.4 33.4 ÷ 20 = 1.67

Answer and explain every step of your solution.

Answers

Answer:

min: (-2;-6) & (1; 3/4); max: (0;2).

Step-by-step explanation:

1) f`(x)=3x³+3x²-6x;

2) f`(x)=0, ⇒ 3x³+3x²-6x=0;

3) 3x³+3x²-6x=0; ⇒ x(x²+x-2)=0; ⇒ x(x-1)(x+2)=0; ⇒ x₁=0; x₂=1; x₃=-2;

other steps are provided in the attachment.

-7x+6y=34 7x+4y=-24 helppp

Answers

Answer:

x=–4, y=1

Step-by-step explanation:

adding the 2 equations, we see the X's go away and we are left with: 10y=10. we can simplify and solve for y by dividing both sides by 10 and we are left with y=1

plugging 'y=1' into the fist equation we get: -7x+6=34. we can now solve for x by subtracting 6 from both sides and dividing both side by –7, so we are left with: x=–4

we can check by plugging both x and y into one of the original equations:

-7(-4)+6(1)=34

28+6=34

34=34✓

a student says that if 5x^2 = 20, then x must be equal to 2. do u agre or disagree with the student? justify your answer.​

Answers

Answer:

The student is correct.

Step-by-step explanation:

Given that 5x² = 20:

It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:

5x² = 20

5(2)² = 20

5(4) = 20

20 = 20

Therefore, the student is correct that x = 2.

If the vertical length is 10, what is the horizontal length?

Answers

Answer:

5

Step-by-step explanation:

it is half of ten which is 5

Hope this helps

Answer:

top one is correct I think

Awnser this for brainliest

Answers

The distance from the sun is around 2,795,200,200 miles
Distance traveled in one complete orbit of the sun (one “year”) would be around 17,562,300,000 miles
hope this helps

Which point could be used to find f(2)?

Answers

pretty sure it’s A bc f(2) means x=2 and A is (2,0)

point A will represent the input-output values of the function.

What is number line ?

Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.

In the graph of y = f(x),

For every x-value (input value), value of the function is the y-value (output value).

For the input value x = 2,

Output value of the function will be,

y = f(2)

Therefore, point A will represent the input-output values of the function.

check and know more about function here :

https://brainly.com/question/12431044

#SPJ2

What is the sum of the 2nd cube number and the 1st cube number?

What is the sum of the 2nd cube number and the 1st cube number

Answers

The answer for the 1st question is 8
The answer for the second question is 8

Find the size of angle XZY.
Give your answer to 1 decimal place,
Z
15 cm
Y
6 cm

Answers

Answer:

23.6 degrees

Step-by-step explanation:

a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 27. find the value of a.​

Answers

Answer:

a = 16

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

If there is no exact middle then the median is the average of the 2 values either side of the middle

a + 1 , 2a - 1 ,  a + 7 ,  3a + 4

                   ↑ middle

Then

[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )

3a + 6 = 54 ( subtract 6 from both sides )

3a = 48 ( divide both sides by 3 )

a = 16

6.
Identify the vertex of the parabola.



A. (−4, 0)

B. (−3, 1)

C. (1, −3)

D. (−1, −3)

Answers

Step-by-step explanation:

the vertex is the point, where the parabola turns around. it is (depending on its orientation, if it is opening upwards or downwards) the maximum or the minimum of the curve.

so, as we can see on the grid, that point is x = -3, y = +1 = (-3, 1).

so, B is correct

Answer:

B. (−3, 1)

Step-by-step explanation:

-3, 1 is the vertex I believe

-3,1 should be the one

or Precalculus
Unit: Get ready for trigonometry
x
Unit test
f is a trigonometric function of the form f(x) = a cos(bx + c) + d.
Below is the graph of f(x). The function has a maximum point at (pi, 9) and a minimum point at
(3pi/4, 1)
Find a formula for f(x). Give an exact expression.

Answers

Answer:

4cos(4x-4pi)+5

Step-by-step explanation:

It was from khan

Will give brainliest no files plz

Answers

Answer:

x=3 and y= 4 / 3 (Fraction)

Step-by-step explanation:

Substitute x for 6y-5.

2(6y−5)−3y=2

Add 6y and 3y, and multiply 5 by 2/Simplify the equation.

9y−10=2

Add  10 to both sides, and then divide each side by 9.

9y−10+10=2+10

9y / 9 = 12 / 9

y = 4/3.

Repeat the process but replace y with 4/3!

Answer:

x=3

y= 4/3

Step-by-step explanation:

2(6y-5)-3y=2

y= 4/3

x=6x 4/3-5

x=3

will give brainliest !!

Answers

Answer:

Triangle A'B'C'

A'B'= 7.81

B'C'= 6

A'C'=5

C) Perimeter= 18.81 Area 15

Triangle ABC

AB=5

BC=4

AC=3

c) Perimeter = 12 Area = 6

Step-by-step explanation:

Triangle ABC work

Perimeter 4+3+√4^2+3^2=12

Area  4*3/2=6

Triangle A'B'C' work

Area 6*5/2=15

Perimeter 6+5+√6^2+5^2=18.81025

Please give brainliest

In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following
of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a Johnny was asked how long it will take the population to reach complete sentence)

Answers

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

The parameters are given as:

[tex]\mathbf{P_o = 10000}[/tex]--- the population in 2005

[tex]\mathbf{r = 0.3\%}[/tex] -- the rate at which the population declines

To model a population, we make use of the following exponential function

[tex]\mathbf{P = P_o \times(1 -r)^t}[/tex]

Where P is the current population in t years.

So, we have:

[tex]\mathbf{P = 10000 \times(1 -0.3\%)^t}[/tex]

When the population reaches half of the initial population, then P = 5000.

So, we have:

[tex]\mathbf{5000 = 10000 \times(1 -0.3\%)^t}[/tex]

Divide both sides by 10000

[tex]\mathbf{0.5 = (1 -0.3\%)^t}[/tex]

[tex]\mathbf{0.5 = (0.997)^t}[/tex]

Take logarithm of both sides

[tex]\mathbf{log(0.5) = log(0.997)^t}[/tex]

Rewrite the equation as

[tex]\mathbf{log(0.5) = tlog(0.997)}[/tex]

Make t the subject

[tex]\mathbf{t = \frac{log(0.5)}{log(0.997)}}[/tex]

[tex]\mathbf{t = 231}[/tex]

This means that the population will halve its initial population in 231 years.

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

Read more about population functions at:

https://brainly.com/question/25704773

5y-3=-23
ttttttttttttttttttttttttttttttttt

Answers

You first need to cancel the -3 so you +3 to both sides leaving you with 5y=-20, you then divide by 5 on each side giving y=-4

[tex]5y-3 = -23\\\\\implies 5y = -23 +3 = -20\\\\\implies y = -4[/tex]

Can anyone help me to verify identities

Answers

Answer:

Step-by-step explanation:

18.

LHS

[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]

= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]

= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]

= [tex]cot^{2}a.cot^{2}b[/tex] - 1

Then you can conclude that LHS = RHS

19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.

I will mark brainliest. Only REAL ANSWERS PLEASE!!!

Answers

Answer:

y > -4

Step-by-step explanation:

The line almost intercepts at the point -4, but it is slightly above it, meaning Y is bigger (>) than -4.

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