What is the 16th term in the following geometric sequence?
5, −10, 20, −40, 80,...

Answers

Answer 1
-163840

Explanation:

The formula to find the nth term for a geometric sequence is

(a1)(r)^n-1

So by plugging in the terms you get

(5)(-2)^16-1 = -163840
Answer 2
Answer: -163840

Step-by-Step Explanation:

As we can see, starting from the first term, every term is repeatedly multiplied by (-2) in order to form this sequence.

1) 5
2) 5 * -2 = -10
3) -10 * -2 = 20
4) 20 * -2 = -40
5) -40 * -2 = 80
6) 80 * -2 = -160
7) -160 * -2 = 320
8) 320 * -2 = -640
9) -640 * -2 = 1280
10) 1280 * -2 = -2560
11) -2560 * -2 = 5120
12) 5120 * -2 = -10240
13) -10240 * -2 = 20480
14) 20480 * -2 = -40960
15) -40960 * -2 = 81920
16) 81920 * -2 = -163840
17) -163840 * -2 =327680

Therefore, 16th Term = -163840

Related Questions

Need help fast thanks and god bless

Answers

Answer:

275.

Step-by-step explanation:

The gradient of the graph is 70/2 = 35 and it passes through the origin so we can write its equation as

y = 35x.

The gradient of the function represented by the the table is

(240-180) / (4-3) = 60

Ehen x = 3 y = 180 so when  x = 0 y = 180 - 60 - 60 - 60 = 0 and the equation of this function is

y = 60x.

For the first equation when x = 11, y = 35*11 = 385.

For the second it is 60 * 11 = 660

So our answer is  660 - 385

= 275

i need help with 7th grade math please need help ASAP + brainleist

Answers

Answer:

Area = 6647.610055 cm^2

Circumference = 289.02652413 cm

Step-by-step explanation:

Area of Circle: Area = π*r^2

Circumference: C = 2*π*r or π*d


Area = π * 46^2 = 6647.610055

Circumference = 2*π*46 = 289.02652413

Area = 6644.24 cm^2
Circumference = 288.88 cm

Area of a circle is pi * radius squared or pi * r^2


pi = 3.14 (the problem told us this)
radius = 46 cm


plug in the numbers

A = 3.14(46)^2

(square the 46 first)

A = 3.14 * 2116

A = 6644.24 cm ^ 2


Circumference formula is

2pi* r



plug in the numbers

C = 2 * 3.14 * 46

C = 6.28 * 46

C = 288.88 cm

i hope this helps

4. (x + 4)2 + (y – 5)2 = 25

Center:

Radius:

Answers

Answer:

Center = (-4, 5)

Radius = 5

Step-by-step explanation:

Equation of a Circle :

(x - h)² + (y - k)² = r²(h, k) = coordinates of the centerr = radius

Finding the center :

h = -(4) = -4k = 5Center = (-4, 5)

Finding the radius :

r² = 25r = √25radius = 5

Please help! 5th-grade math!

Answers

It is a quadrilateral, parallelogram, and a rhombus

Answer:

quadrilateral, parallelogram, and rhombus.

Step-by-step explanation:

All quadrilaterals have 4 sides, all parallelograms have 2 sets of parallel sides, and a rhombus has diagonals that bisect each other perpendicularly.

What are the y-intercept and the slope of the line represented in the graph?
A. y-intercept = -4 and slope = -2
B. y-interecept = 4 and slope = -2
C. y-interecept = 2 and slope = 4
D. y-interecept = 4 and slope = -4​

Answers

B
Y intercept is 4 as shown on the graph where the line crosses the y axis
Slope is measured from the y intercept, 4 down and 2 to the right
-4/2 = -2

A rug had a length of 9 feet and a width of 3 feet what is the perimeter of the rug

Answers

Answer:

24 ft

Step-by-step explanation:

to find the perimeter of rug is you have to add 9+9+3+3= 24

Suppose the heights of the members of a population follow a normal
distribution. If the mean height of the population is 72 inches and the
standard deviation is 3 inches, 99.7% of the population will have a height
within which range?
A. 63 inches to 81 inches
B. 66 inches to 78 inches
C. 60 inches to 84 inches
D. 69 inches to 75 inches

Answers

The option (A) 63 inches to 81 inches is correct after using the empirical Rule.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

The mean height of the population is 72 inches and the standard deviation is 3 inches, 99.7% of the population will have a height

99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean.

The lower range = 72 – 3(3) = 63 inches

The upper range = 72 + 3(3) = 81 inches

Thus, the option (A) 63 inches to 81 inches is correct after using the empirical Rule.

Learn more about the standard deviation here:

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does the point (3,1) lie on the line y=x-3? (With explanation)

Answers

Answer:

well i lands on y and the explaination would be 3+1=y

Step-by-step explanation:

hope this helps

The contingency table below shows the results of a random sample of 400 state
that was conducted to see whether their opinions on a bill are
representatives
related to their party affiliation.
Opinion
Party
Approve
Disapprove
Totals
No
Opinion
Republican
84
40
28
152
Democrat
100
48
36
184
Independent
20
32
12
64
Totals:
204
120
76
400
What is the expected frequency for the cell E3,1? Round your answer to the
nearest tenth.
32.6
45.3
28.9
38.3

Answers

Answer:

what is this question man .......

Two legs of a right triangle measure 3 inches and 4 inches. Which of the following choice for the

length of the third side will make the triangle a right triangle?

Answers

Answer:

5 inch

Step-by-step explanation:

Two legs of a right triangle measure 3 inches and 4 inches. Which of the following choice for the length of the third side will make the triangle a right triangle?

not having the choices we solve with Pythagoraslet the unknow side x

x = √(3²+4²)

x = √(9 + 16)

x = √25

x = 5

Find the value of y that satisfies the given conditions. Then graph the line on a separate sheet of paper. The line containing (−4, 9) and (4, 3) is parallel to the line containing (−8, 1) and (4, y).

Answers

Answer:

so first do nothing and just fail health class

The value of y that satisfies given conditions is y = - 8.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

We also know that slope(m) = (y₂ -y₁)/(x₂ - x₁).

So, lines parallel to each other have the same slope hence to find the value of y we'll equate their slopes.

∴ (3 - 9)/(4 + 4) = (y - 1)/(4 + 8).

-6/8 = (y - 1)/12.

-3/4 = (y - 1)/12.

-36/4 = y - 1.

- 9 = y - 1.

 y = - 8.

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What is the value of x? put your answer as a decimal.​

Answers

Answer:

It should be 58.6 if Im not mistaken. Im so sorry if I'm wrong.

Step-by-step explanation:

A box is 9 inches by 11 inches. The donuts have a radius of 1.25 inches. How many donuts can fit in the box?

Answers

Answer:

  14 donuts

Step-by-step explanation:

Packing circles in a rectangular space is always an interesting problem. Sometimes, it works well to put them on a grid. Other times, more circles can be packed in if they are somewhat off-grid. The details depend on the specific dimensions.

The attached shows a way to fit 14 donuts in the box.

_____

Additional comment

Packing them on a square grid allows only 12 donuts to be put in the box.

If 4x+2=11, what is the value of 2x-1 ?

Answers

Answer:

Step-by-step explanation:

4x + 2 = 11

4x = 9

x = 9/4

2(9/4) - 1

9/2 - 2/2= 7/2

For the graph given, select the statement that best represents the given system of equations.6x + 4y = 2 3x + 2y = 1

A. inconsistent
B. consistent and independent
C. not enough information
D. coincident

Answers

Answer:

D. coincident

Step-by-step explanation:

An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.

So, given equations are:

6x + 4y = 2 and 3x + 2y = 1

Observe that if we divide the first by 2, we have

[tex]\frac{6x+4y}{2} =\frac{2}{2}[/tex]

[tex]\frac{6x}{2}+\frac{4y}{2} =1[/tex]

[tex]3x+2y=1[/tex]

As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.

The answer is coincident :)

write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answering, thanks, 5 stars, and brainlist.

Answers

The graph is showing the equation of circle x²+y²=4

What is a circle?

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

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A computer generates 90 integers from 1 to 8 at random. The results are recorded in this table. Outcome 1 2 3 4 5 6 7 8 Number of times outcome occurred 26 8 10 12 8 6 9 11 What is the experimental probability of the computer generating a 3 or a 5? 9% 20% 18% 40%

Answers


its 20% (I took the test I chose 185 but I reviewed it and it said the answer was 20%)

Answer:

20%

Step-by-step explanation: I took the test

William William mowed 75% of the lawn in 33 minutes. Part A Which equation can be used to find how many minutes it will take for William to mow the whole lawn if he continues at the same rate? 75n=33 33n=75 0.33n=75 75n100=33 Part B How many minutes will it take for William to mow the whole lawn?

Answers

The equation that can be used to find out the total time it will take to William to mow the lawn is (75n) / 100=33.

What is an equation?

This is a mathematical expression that represents a situation including a value that is not known.

In this case the best equation would be 75n / 100=33 as this is the only one that includes all the factors:

75% out of a 100% that is unknown (n)100 (represents the percentage)33 (total of minutes completing 75%)

What is the result of this equation?75n / 100=33n/ 100 = 33/75n/100 =0.44n= 0.44 x 100n = 44 minutes

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The diagram below shows the shape of the pool at Tori's house. Tori wants to out a fence all around the pool

Answers

The expression for the perimeter of the pool is 8x + 20 and the cost of fencing the pool is 27.76x + 69.4

How to complete the missing sides?

There are two missing sides in the figure, and they can be calculated using the subtraction operation.

The equations to calculate the missing sides are:

Missing side 1 = 5x - 2 - (-6 + 4x)

Missing side 2 = 12 - x - (3x - 3)

Evaluate the equations

Side 1 = x + 4

Side 2 = 15 - 4x

Hence, the missing sides are x + 4 and 15 - 4x

The perimeter of the pool

This is the sum of the side lengths of the pool.

So, we have:

Perimeter = 5x - 2 + 12 - x - 6 + 4x + 3x - 3 + x + 4 + 15 - 4x

Collect like terms

Perimeter = 5x - x + 4x + x - 4x + 3x - 2 + 12 - 6  - 3  + 4 + 15

Evaluate

Perimeter = 8x + 20

Hence, the perimeter of the pool is 8x + 20

An equation to solve for x

In (b), we have:

P = 8x + 20

Where P represents the perimeter of the pool

The cost of fencing the pool

The cost of fencing the pool is the product of the perimeter and the unit cost per foot.

So, we have:

C = (8x + 20) * 3.47

Expand

C = 27.76x + 69.4

Hence, the cost of fencing the pool is 27.76x + 69.4

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URGENT!!! Which function, g or h, is the inverse function for function ƒ?


the function h because the graphs of ƒ and h are symmetrical about the line y = x

the function g because the graphs of ƒ and g are symmetrical about the line y = x

the function g because the graphs of ƒ and g are symmetrical about the x-axis

the function h because the graphs of ƒ and h are symmetrical about the y-axis

Answers

Answer:

The answer is The function h because the graphs of f and h are symmetrical about the line y = x.

Step-by-step explanation:

A function and its inverse function become symmetrical across the line y = x.  

Help please need quickly like rn

Answers

Answer:

288 m^3

Step-by-step explanation:

V=(1/3)Bh, where B is base, and h is height

The base will use the equation A=(1/2)bh

B = (1/2)12x9

B = 54

the height is given: 16m

substitute into Volume equation:

V=(1/3)54x16

V=288

Need help for this please

Answers

Answer:

Using 22/7 as pi, the area of a circle with a diameter of 14 metres is:

154 m²

Step-by-step explanation:

To solve, use the formula for the area of a circle.

Formula for area of a circle

Remember the formula for area of a circle. Be careful not to mix up the formula for area with the formula for circumference!

[tex]A = \pi r^{2}[/tex]

From the question, we know:

π = 22/7d = 14 m

To use the formula, we need the radius ("r").

Radius ("r")

The radius is a line that goes from the centre point of the circle to the circle outline. It is half the length of the diameter.

Diameter ("d")

The diagram shows the diameter ("d"), which goes through the centre point of the circle. It is twice the length of the radius.

Solve for "r".

r = d/2

r = (14 m)/2

r = 7 m

Solve for area using formula

Substitute r = 7 m and π = 22/7  into the formula for the area of a circle.

[tex]A = \pi r^{2}[/tex]                         Start with the formula and substitute.

[tex]\displaystyle{A = \frac{22}{7} (7\ m)^{2}}[/tex]                Square "7" and the "m".

Remember that the answer for area is always squared units.

[tex]\displaystyle{A = \frac{22}{7} (49\ m^{2})}[/tex]      

Multiplying a fraction and whole number is the same as multiplying the whole number in the numerator (top of the fraction).

[tex]\displaystyle{A = \frac{22*49}{7}m^{2}}[/tex]              Simplify the numerator.

[tex]\displaystyle{A = \frac{1078}{7}m^{2}}[/tex]                  Divide.

[tex]A = 154\ m^{2}[/tex]                   Final answer

∴ The area of the circle is 154 m².

Mike put 210 baseballs into 7 trash bins. He put the same number of baseballs in each bin. He took 2 trash bins of baseballs to the
baseball field. How many baseballs did Mike take?
A. 30
B. 896
C. 90
D. 60

Answers

Answer:

D. 60

Step-by-step explanation:

210 baseballs divided evenly between 7 trash bins = 30 balls per bin

2 trash bins multiplied by 30 balls per bin = 60 balls in two bins

Hope this helps!

I need help with number 2 please

Answers

Answer:

B

Step-by-step explanation:

2.

what is the middle between 2 numbers (any numbers, really) ?

you add both numbers and divide the result by 2.

the same here :

(-3 + 24) / 2 = 21/2 = 10 1/2

proof :

what is the distance from -3 to 10 1/2 ? it is 10 1/2 from 0 to 10 1/2 plus 3 from -3 to 0 = 10 1/2 + 3 = 13 1/2.

what is the distance from 10 1/2 to 24 ? it is 13 from 11 to 24, and another half from 10 1/2 to 11. so, in total 13 1/2.

both distances are equal, so it is proven for 10 1/2 to be the midpoint.

2
7
What is the area of the triangle?
units?

Answers

Step-by-step explanation:

the area of a triangle is always

baseline × height / 2

where baseline and height are perpendicular (at a 90° angle) to each other.

so, in our case the area is

7 × 2 / 2 = 7 × 1 = 7 units²

solve the inequality:

0.2(x + 20) – 3 > –7 – 6.2x

Answers

Answer:

[tex]\huge\boxed{\sf x > -1.25}[/tex]

Step-by-step explanation:

Given inequality:

0.2 (x + 20) - 3 > -7 - 6.2x

Distribute

0.2x + 4 - 3 > -7 - 6.2x

0.2x + 1 > -7 - 6.2x

Add 6.2x to both sides

0.2x + 6.2x + 1 > -7

6.4x + 1 > -7

Subtract 1 to both sides

6.4x > -7 - 1

6.4x > -8

Divide 6.4 to both sides

x > -8/6.4

x > -1.25

[tex]\rule[225]{225}{2}[/tex]

Answer:

x > -1.25

Step-by-step explanation:

Using the distributive property: a(b + c) → ab + ac

1. Distribute '0.2'

0.2(x) + 0.2(20) - 3 > -7 - 6.2x

0.2x + 4 - 3 > -7 - 6.2x

0.2x + 1  > -7 - 6.2x

2. Add '6.2x' to both sides

0.2x + 6.2x + 1  > -7 - 6.2x + 6.2x

6.4x + 1 > -7

3. Subtract '1' from both sides

6.4x + 1 - 1 > -7 - 1

6.4x > -8

4. Divide both sides by '6.4' to isolate the variable

6.4x ÷ 6.4 > -8 ÷ 6.4

x > -1.25

Final answer: x > -1.25

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Find an angle α that is coterminal with an angle, in radians, measuring −13π/2, where 0≤α<2π. Give your answer as an exact answer involving π, if necessary.

Answers

Answer:

  α = 3π/2

Step-by-step explanation:

To find the coterminal angle, add multiples of 2π until you have an angle in the desired range. Here, you need to add 8π.

  α = -13π/2 + 8π = (-13 +16)π/2 = 3π/2

please solve the given problem​

Answers

Answer:

  x = -47.1

  x = -3.35454... (2-digit repeat)

Step-by-step explanation:

Each of the absolute value functions causes the overall behavior of the equation to change where that absolute value function's argument is zero. Those values of x are -7, -5/2, -2/5.

These breakpoints cause the domain of the equation to be divided into 4 parts. A graphing calculator shows us that solutions exist only in the two regions ...

x < -7-7 ≤ x < -5/2

In those regions, the equation simplifies to ...

x < -7

  2(-(x +2/5)) -2(-(x +7)) = 2/3x +(-(x +5/2))

  x(-2 +2) -4/5 +14 = x(2/3 -1) -5/2 . . . . collect terms

  15.7 = -1/3x . . . . . . add 5/2

  x = -47.1 . . . . . . . multiply by -3

__

-7 ≤ x < -5/2

  2(-(x +2/5)) -2(x +7) = 2/3x +(-(x +5/2))

  x(-2 -2) -4/5 -14 = x(2/3 -1) -5/2 . . . . collect terms

  (-3 2/3)x = 12.3 . . . . . . . . add 1/3x +14.8

  x = -36.9/11 = -369/110

  x = -3 39/110 ≈ -3.35454... (2-digit repeat)

A news report suggested that an adult should drink a minimum of 4 pints of water per day. based on this report determine the minimum amount of water an adult should drink, in fluid ounces, per week.

Answers

Answer:

448 fl oz/week

Step-by-step explanation:

1 week = 7 days

4 pints per day × 7 days/week = 28 pints per week

1 pint = 16 fl oz

28 pints/week × 16 fl oz/pint = 448 fl oz/week

Help with the linear equations

Answers

Answer:

[tex]y \: intercept = - 1 \frac{1}{2} [/tex]

Step-by-step explanation:

The y intercept form for the equation of a line is

[tex]y = mx + c[/tex]

You should note that c represents the y-intercept of the line (where the line touches the y-axis)

[tex]y = mx + c \\ \\ we \:were\: given \:the \:equation \:y = x - \frac{3}{2} \\ \\ therefore \: the\: value \:of \:c \:is\: - \frac{3}{2} \:or -1 \frac {1}{2}[/tex]

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