Determine the Next three terms in the following sequence -1 1/2 -1/4 1/8

Answers

Answer 1

Answer:

-1/16 1/32 -1/64

Step-by-step explanation:

They are dividing by -2 each time; therefore, they multiply (1/4) x (-1/2), (-1/16) x (-1/2), (1/32) x (-1/2) because of the keep change flip rule.

Answer 2

Answer:

-

[tex] - \frac{1}{16} \\ \frac{1}{32} \\ \frac{ - 1}{64} [/tex]

Step-by-step explanation:

It's a geometric sequence with the common ratio r = -1/2

1st: -1

2nd: (-1)x(-1/2) = 1/2

3rd: (1/2) x (-1/2) = -1/4

4th: (-1/4) x (-1/2) = 1/8

so:

5th: (1/8) x (-1/2) = -1/16

6th: (-1/16) x (-1/2) = 1/32

7th: (1/32) x (-1/2) = -1/64


Related Questions

(2x2 - 3x + 7) - (-3x2 + 4x - 7)
what is the combine terms​

Answers

Answer:

-7x+24

Step-by-step explanation:

(2*2-3x+7) - (-3*2+4x-7)

11-3x+13-4x

-7x+24

Answer:

-7x +24

Step-by-step explanation:

2*2-3x+7) - (-3*2+4x-7)

11-3x+13-4x

-7x+24

The height of a building, measured in feet, is an example of:_______.
a. qualitative data
b. either qualitative or quantitative data
c. feet data
d. quantitative data

Answers

Answer:

Option d (quantitative data) is the correct choice.

Step-by-step explanation:

Quantitative data seems to be a collection or kind of data which is concerned regarding quantitative information or methods. That indicates its value, as well as the condition, could be represented arithmetically. All evidence that can be quantified, checked, and suitable for statistical analysis categorizes as quantitative methods.

The remaining three options do not apply to the specified scenario. Therefore the description made will serve as an example of quantitative data.

helloo! please quick help with this it’s super simple

Answers

Answer:

1

Step-by-step explanation:

[tex] \bigg(3 {w}^{4} {z}^{3} m \bigg) ^{0} \\ = {3}^{0} \times {w}^{4 \times 0} \times {z}^{3 \times 0} \times {m}^{0} \\ = {3}^{0} \times {w}^{0} \times {z}^{0} \times {m}^{0} \\ = 1 \times 1 \times 1 \times 1.. ( \because {a}^{0 } = 1) \\ = 1 \\ \therefore \: \bigg(3 {w}^{4} {z}^{3} m \bigg) ^{0} = 1[/tex]

Answer:

1

Step-by-step explanation:

whenever we have 0 in the exponent the term becomes equal to 1

(3w^4z^3m)^0

multiplying 0 with all terms inside the bracket

3^0 × w^4×0 × z^3×0 × m^1×0

solving the powers

3^0 × w^0 × z^0 × m^0

since we have 0 in the exponent so all the terms will become 1

1 × 1 × 1 × 1 = 1

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=200, 95% confidence

Answers

Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

p is the population proportion = x/n

p = 200/500

p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

Confidence interval = 0.4 ± 1.96 * √0.00048

Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

Parabola,,Could you help me please??

Answers

Answer:

[tex]\large \boxed{\sf \bf \sqrt{\dfrac{10}{3}}}[/tex]

Dimension of the rectangle is

[tex]2\times\sqrt{\dfrac{10}{3}}\\ \\10-\dfrac{10}{3}=\dfrac{20}{3}[/tex]

Step-by-step explanation:

Hello,

[tex]\text{The area is }2x(1-x^2) \\ \\\text{The derivative is }2(10-x^2)+2x(-2x)=2(10-3x^2)\\\\\text{The derivative is }0\text{ for} 10-3x^2=0 \\\text{so for } x=\sqrt{\dfrac{10}{3}}[/tex]

Thanks

Write an equation to solve for x, then solve for x. The whole question is in the picture.

Answers

Answer:

12x = 60 x = 5

Step-by-step explanation:

2 (2x + 4x) = 2 (6x) = 12x

the perimeter is 12x and 60 is the perimeters value so you divide 60 by 12 and get 5

The hypotenuse of one side of a right angled triangle are 5cm and 4cm respectively. what is the length of the other side

Answers

Answer: 3cm

Explanation:

We can use Pythagorean’s theorem to find that other side:

a^2 + b^2 = c^2
a^2 + 4^2 = 5^2
a^2 = 25 - 16
a^2 = 9
a = 3

Therefore, the other side is 3cm

Answer:

Hypotenuse is the longest side in a triangle.

a^2=b^2+c^2.

5^2=4^2+c^2.

c^2=25-16.

c^2=9.

c=√9.

c=3cm.

Look at the sets below.

{1, 2, 3, 4, 5} {2, 4, 6, 8, 10}

Which of the following shows the union of the sets?
A.
{1, 2, 3, 4, 5}
B.
{2, 4, 6, 8, 10}
C.
{2, 4}
D.
{1, 2, 3, 4, 5, 6, 8, 10}

Answers

Answer:

[tex] \boxed{\bold{\boxed{ \sf{1 \: , \: 2 \: , \: 3\: ,4 \: , \: 5 \: , \: 6 \: , \: 8 \: , \: 10 \: }}}}[/tex]

Option D is the correct option

Step-by-step explanation:

Let the sets be A and B.

A = { 1 , 2 , 3 , 4 , 5 }

B = { 2 , 4 , 6 , 8 , 10 }

Finding A union B ( A B )

The union of sets A and B is the set of all elements which belongs either A or B or both A and B

So, list them :

A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 }

Hope I helped!

Best regards! :D

Solve the equation below.
6(-2w - 3) = -4(3w + 7) + 10

Answers

Answer: all real numbers

Explanation:

Let's solve your equation step-by-step.

6(−2w−3)=−4(3w+7)+10

Step 1: Simplify both sides of the equation.

6(−2w−3)=−4(3w+7)+10

(6)(−2w)+(6)(−3)=(−4)(3w)+(−4)(7)+10(Distribute)

−12w+−18=−12w+−28+10

−12w−18=(−12w)+(−28+10)(Combine Like Terms)

−12w−18=−12w+−18

−12w−18=−12w−18

Step 2: Add 12w to both sides.

−12w−18+12w=−12w−18+12w

−18=−18

Step 3: Add 18 to both sides.

−18+18=−18+18

0=0

What equation do you obtain when you solve the formula A = 1/2bh for h?ASAP PLEASE

Answers

Answer:

2Ab=h

Step-by-step explanation:

A=1/2bh

2A=bh

2Ab=h

graph the piecewise function
show how you got the function

Answers

(4). If we break down this piecewise function, we have 3 main expressions to deal with, 'h(x) = 5 if {x ≥ 4}' (represented by the green graph) 'h(x) = x if {0 ≤ x ≤ 4}' (represented by the blue graph) and 'h(x) = 1 / 2x + 2 if {x < 0}' (represented by the red graph).

Take a look at the attachment below for your graph of these 3 functions / expressions.

(5). For this part we want to determine the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3]. Remember that to calculate average rate of change between the 2 points we use the following formula...

f(b) - f(a) / b - a,

f(3) = 4(3)² - 5(3) - 8 = 4(9) - 15 - 8 = 36 - 15 - 8 = 13,

f(- 2) = 4(- 2)² - 5(- 2) - 8 = 4(4) + 10 - 8 = 16 + 10 - 8 = 18

13 - 18 / 3 - (- 2) = - 5 / 5 = - 1

Therefore the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3] will be - 1.


PLEASE HELP IMMEDIATELY!!!

5x + 11 = 4x + 18 and describe the steps!!!

Answers

Answer:

x = 7

Step-by-step explanation:

First, put the x values on one side by subtracting 4x from each side:

5x + 11 = 4x + 18

x + 11 = 18

Subtract 11 from both sides to solve for x:

x = 7

Answer: The value of x is 7.

Step-by-step explanation:

Here's how I got my answer:

5x + 11 = 4x + 18

Isolate variables and combine like terms:

5x - 4x = 18 - 11

Simplify:

x = 7

That is the final answer.

write the equation of the line that passes through (2,-4) and (-1,-1)

Answers

You need to use the y = mx + b formula which will get you to the answer
y = -x -2

Answer:

y = - x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (- 1, - 1)

m = [tex]\frac{-1+4}{-1-2}[/tex] = [tex]\frac{3}{-3}[/tex] = - 1 , thus

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, - 1 ), then

- 1 = 1 + c ⇒ c = - 1 - 1 = - 2

y = - x - 2 ← equation of line

5-(n-4)= 3 (n + 2)
what does n equal

Answers

Answer:

The value of n in this equation is -3/4

Step-by-step explanation:

5 - (n - 4) = 3 (n + 2)

Distribute the negative to (n - 4) and distribute 3 to (n + 2).

5 - n + 4 = 3n + 6

Add 4 to -5.

9 - n = 3n + 6

Subtract 9 from 6.

-n = 3n - 3

Subtract 3n from n.

4n = -3

Divide 4 by -3.

n = -3/4

Find the equation of a line containing the points (3,1) and (2,5). Write the equation
in slope-intercept form

Answers

Answer:

[tex]y=-4x+13[/tex]

Step-by-step explanation:

We are given the two points (3, 1) and (2, 5) and we want to find the equation of the line containing the given points.

First, find the slope of the line:

[tex]\displaystyle \begin{aligned} m &= \frac{\Delta y}{\Delta x} \\ \\ &= \frac{(5)-(1)}{(2)-(3)} \\ \\ &= \frac{4}{-1} \\ \\ &= -4 \end{aligned}[/tex]

Hence, the slope of the line is -4.

Since we know the slope and a point, we can consider using the point-slope form, given by:

[tex]y-y_1=m(x-x_1)[/tex]

Let's use (3, 1) as the chosen point, and we will substitute -4 for the slope m. This yields:

[tex]\displaystyle y-(1)=-4(x-(3))[/tex]

To convert into slope-intercept form, solve for y:

[tex]\displaystyle \begin{aligned} y - 1 &= -4 (x - 3) \\ y - 1 &= -4x + 12 \\ y &= -4x + 13 \end{aligned}[/tex]

In conclusion, the equation of the line is:

[tex]y=-4x+13[/tex]

Answer:

Step-by-step explanation:

Y=-4x+13

Could anyone answer this?

Answers

Answer:

4.472135955

Step-by-step explanation:

Nya covers a rectangular tray with 1-square-inch tiles. She uses 42 tiles, arranged in 7 rows. How many tiles are in each row?

Answers

Answer:

  6

Step-by-step explanation:

Since you're familiar with your multiplication tables, you know that ...

  42 = 6 × 7

There are 6 tiles in each of the 7 rows.

The weight of tigers follow a normal distribution with a mean of 220 kg and a SD of 30 kg. 1) If we randomly select a tiger, what is the probability that his weights is less than 258 kg

Answers

Answer:

0.89736

Step-by-step explanation:

We solve this question using z score formula

Z score = x - μ/σ

x = raw score

μ = population mean

σ = population standard deviation

Hence,

x = 258, μ = 220, σ = 30

Z = 258 - 220/30

=1.26667

Probability value from Z-Table:

P(x<258) = 0.89736

Therefore, the probability that his weights is less than 258 kg is 0.89736

Calculate the average rate of change for the given function, from x = -1 to x = 2.

Answers

Answer:

it moved 3 spots

Step-by-step explanation:

In general, what can you conclude about a pair of angles that are both congruent and supplementary?

Answers

Answer:

Both angles are right angles.

Step-by-step explanation:

Supplementary angles sum to 180°. Since we know that both angles are congruent, let's call them x and x. We can write the following equation:

x + x = 180

2x = 180

x = 90°

Therefore, we can conclude that both angles are right angles.

Answer:

Angles that are both congruent and supplementary each have a measurement that is equal to 90°.

Step-by-step explanation:

Help what is the answer help plz

Answers

Answer:

2

Step-by-step explanation:

-r^2+5ry+4y^2

= -(-2)^2+5(-2)(3)+4(3)^2

= -(4)+5(-6)+4(9)

= -4-30+36

= 36-30-4

= 36-34

= 2

An experimenter wants to estimate the average water consumption per family in a city. Discuss the relative merits of choosing individual families, dwelling units (single-family houses, apartment buildings, and so on), and city blocks as sampling units. What would you use as a frame in each case?

Answers

Answer:

Solution: an Experimenter whats to estimate the average water consumption per family in the city

if individual families are used as the sampling united, a frame could be using censes data or atelephone book

if dwelling are used as the sampli units, aframe could be using Address book or city directory

If city blocks are used as the sampling units, aframe could been using is city directory

Step-by-step explanation:

When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain the reasons why a graph would, or would not, represent a function.

Answers

Answer:

Step-by-step explanation:

You are given a graph and wish to determine whether or not it represents a function.  Draw a vertical line through this graph and count the number of times the vertical line intersects the graph.  

If exactly once, the graph passes the vertical line test and we say the graph represents a function.

If more than once, the graph fails the test and does not represent a function.

This is because a function assigns one and only one y value to any input value x in the domain.

Answer:

Step-by-step explanation:

vertical line test: a test that uses any kind of straight stuff (i.e line, pen, etc.) to go over the graph and check whether or not there are two points on one vertical line.

In a function, one domain (x value) can only have one range (y value).

NOTE: one range can have multiple domains

This means through vertical line test, if there are two points on one vertical line, it will not be a function.

solve this question 2√8+√8
A. 3√8
B.24
C.16√8
D.2√8

Answers

Answer:

Simplify each radical, then combine.

3√8

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

6 √ 2 = 3√8

I think the answer would be C

What is 5.264 x 2.3? Please show work on how you got the answer
[tex]5.264 \times 2.3[/tex]

Answers

Answer:

12.1072

Step-by-step explanation:

 5.264

x                           take 3 multiply with 5264 = 15792

      2.3                 then take 2 multiply with 5264 = 10528

 15792                  add column by column as drop 2 down, then 9 + 8

10528                    then 7+2, 5+5, 1+0, 1. then count how many numbers total

121072                  behind the point  .264= 3 numbers + .3 is 1 number= 4#s

                               then count backward the result 4 numbers 2701 put the                        

                               dot there you will get 12.1072

g In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if Z STAT

Answers

Answer:

The P-value is 0.0166.

Step-by-step explanation:

The complete question is: In a​ one-tail hypothesis test where you reject H0 only in the lower ​tail, what is the p-value  if ZSTAT = -2.13.

We are given that the z-statistics value is -2.13 and we have to find the p-value.

Now, the p-value of the test statistics is given by the following condition;

                    P-value = P(Z < -2.13) = 1 - P(Z [tex]\leq[/tex] 2.13)

                                  = 1 - 0.9834 = 0.0166

Assuming that the level of significance is 0.10 or 10%.

The decision rule for rejecting the null hypothesis based on p-value is given by;

If the P-value of the test statistics is less than the level of significance, then we have sufficient evidence to reject the null hypothesis.If the P-value of the test statistics is more than the level of significance, then we have insufficient evidence to reject the null hypothesis.

Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.

Suppose that the height s of a ball (in feet) at time t (in seconds) is given by the formula s(t) = 64 - 16(t - 1)^2. This function is graphed below on the interval 0 ≤ t ≤ 3. Which labeled point (A-G) corresponds to the release of the ball? How high (in feet) was the ball when it was released? Which labeled point corresponds to the highest point of the ball? When (in seconds after being released) did the ball reach its highest point? Which labeled point corresponds to the ball hitting the ground? How long (in seconds) after being released did the ball hit the ground?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Suppose that the height s of a ball (in feet) at time t (in seconds) is given by the formula

s(t) = 64 - 16(t - 1)^2

t interval = 0 ≤ t ≤ 3

1) point A (from the graph)

11) Height of ball when it was released

Ball was released at t = 0

s(0) = 64 - 16(0 - 1)^2

= 64 - 16(-1)^2

= 64 - 16(1)

= 64 - 16

= 48 feets

111) point C ( from the graph)

IV) highest point of the ball is 64

Hence,

s(t) = 64 - 16(t - 1)^2

64= 64 - 16(t - 1)^2

16(t - 1)^2 = 64 - 64

16(t - 1)^2 = 0

16t^2 - 32t + 16 = 0

t^2 - 2t + 1 = 0

(t-1) = 0 (t-1) = 0

t = 1

V) Point G (from graph)

V1)

height = 0

s(t) = 64 - 16(t - 1)^2

0 = 64 - 16(t - 1)^2

16(t - 1)^2 = 64

(t - 1)^2 = 64/16

(t - 1)^2 = 4

(t - 1)² = 2²

t - 1 = 2

t = 2 + 1

t = 3

Which row of table reveals the x-intercept

Answers

The x column gives you the x intercepts. While the y column gives you the y intercepts.

The row of table reveals the x-intercept could be second ( -4, 0).

What is x-intercept of a function?

The x-intercept of a function of variable x ( y = f(x) ) form is an intersection fo the x-axis and the curve of the function.

The x-intercept for a function y = f(x) is a solution to the equation f(x) = 0 because at that value of x, the function f(x) lies on x-axis where y is 0.

Values of x-intercept for a function f(x) are also called roots or solution of f(x) = 0 equation.

We have to find Which row of table reveals the x-intercept.

Thus, We can conclude that the second row shows the unit rate.

Hence, the row of table reveals the x-intercept could be second ( -4, 0).

Learn more about x-intercept here:

https://brainly.com/question/14764115

#SPJ5

solve for x : 8 (2-x) +3x= -4

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]8(2-x)+3x=-4[/tex]

Distribute the first term:

[tex]16-8x+3x=-14[/tex]

Combine like terms:

[tex]16-5x=-4[/tex]

Subtract 16 from both sides:

[tex]-5x=-20[/tex]

Divide both sides by -5:

[tex]x=4[/tex]

So, the value of x is 4 :)

what does (-3)+9/8 equal i cant get it im kinda stupid lol

Answers

Answer:

-15/8 or -1 7/8, 1.875

Step-by-step explanation:

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