Find the 10th term in the sequence.

1/2, -1, 2, -4

1. 512
2. 125
3. -256

Answers

Answer 1

Answer:

tenth term is -256

Step-by-step explanation:

It is geometric progression:

[tex]a_{n} = a( {r}^{n-1} )[/tex]

r » common ratio, r = 2 ÷ (-1) = -2

a » first term, a = ½

n » number of terms, n is 10

[tex]a_{10} = \frac{1}{2} \{{( - 2)}^{10-1} \} \\ \\ a_{10} = \frac{1}{2} (-512) \\ \\ a_{10} = \frac{-256}{1} [/tex]

Answer 2

Step-by-step explanation:

everything can be found in the picture

Find The 10th Term In The Sequence.1/2, -1, 2, -41. 5122. 1253. -256

Related Questions

The unit circle with center at the origin is a relation but not a function Find the two functions which are semicircles of the unit circle and determine their domains and ranges?​

Answers

Answer:

Step-by-step explanation:

The relation is x²+y²=r² with r being the radius

[tex]f(x)=y=\sqrt{r^2-x^2} \\\\domain(f(x))=[-r,r]\ or\ -r\leq x \leq r\\range(f(x))=[0,r]\ or\ 0\leq y \leq r\\\\\\\ g(x)=y=-\sqrt{r^2-x^2} \\domain(g(x))=[-r,r]\ or\ -r\leq x \leq r\\range(g(x))=[-r,0]\ or\ -r\leq y \leq 0\\\\[/tex]

2x − 6y + 3x2 + 7y − 14x

3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y

Answers

Answer:

C. 3x²-12x+y

Step-by-step explanation:

2x − 6y + 3x² + 7y − 14x =

3x²+2x-14x-6y+7y =

3x²-12x+y

A rare disease exists with which only 2 in 1000 isaffected. There is a test for the disease that a correct positive result (patientactually has the disease) occurs95%of the time while a false positive result(patient does not have the disease) occurs1%of the time.a) What is the prior distribution of the disease and the posterior distributionof the disease given the positive result?b) Is the test good? Explain that counter-intuitive result.

Answers

Answer:

the test is good since it is right 98 percent of the time an if the test is wrong you can just take it again

Janice is building a model volcano for the science fair. To find the right ratio, she starts by mixing small amounts of baking soda and vinegar. She finds that adding 1.5 teaspoons of baking soda for every fluid ounce of vinegar produces the best eruption. If Janice plans to us 0.5 cups of vinegar for her project, how many tablespoons of baking soda should she use?​

Answers

Answer:

6 tablespoons of baking soda

Step-by-step explanation:

There are 8 fluid ounces in 1 cup and shes going to use half a cup so that means shes going to use 4 fluid ounces of vinegar. To find how much baking soda she is going to use, we are going to multiply.

1.5 * 4 = 6

Best of Luck!

Answer:

3 Tablespoons, 6 teaspoons

Step-by-step explanation:

In order to find the right ratio of Baking Soda to Vinegar we have to find ratio given,... they tell us that for every 1.5 teaspoon of baking soda, you must add 1 fluid ounce or vinegar,... thus the ratio of Baking Soda to Vinegar is (1.5 teaspoon / 1 Fluid ounce)

There are:

3 teaspoons = 1 Tablespoons

8 fluid ounces = 1 cup

So if you use 0.5 cups of Vinegar as they tell us we do than that is the same thing as using 4 Fluid ounce, and because your problem say 1.5 teaspoon of baking soda for every Fluid ounce of vinegar all you have to do it multiply your 1.5t by your 4 to get how many teaspoons of Baking Soda you will need,...

1.5 * 4 = 6

You need 6 teaspoons or 3 Tablespoons,...

Hope that helps,... and I'll see you in life,... well not, literally, but you get what I mean,... Chow!

Chris owes $17,000 to a bank. The debt grows with 8% annual interest that compounds every year. How
much will Chris owe in one year?

A. 18,014
B. 18,242
C. 18,360
D. 18,557

Answers

Answer:

18360

Step-by-step explanation:

A = P (1 + r/n)^(nt)  where A is the amount in the account, P is the principle, r is the interest rate , n is the times compounded per year, t is the number of years

A = 17000 (1 + .08/1)^(1*1)

A = 17000( 1.08)^1

A = 18360

Interest rate=8%

interest

[tex]\\ \rm\longmapsto 17000\times 8\%[/tex]

[tex]\\ \rm\longmapsto 17000\times \dfrac{8}{100}[/tex]

[tex]\\ \rm\longmapsto 170(8)[/tex]

[tex]\\ \rm\longmapsto 1360[/tex]

Total

[tex]\\ \rm\longmapsto 17000+1360=18360[/tex]

Option C is correct

Give the degree of the polynomial.

Answers

Answer:

7

Step-by-step explanation:

pretty sure its seven

Match the terms to their definition.
1. union
2. intersection
3. compound inequality
Hurry plz

Answers

Step-by-step explanation:

compound inequality: a statement formed by two.......

intersection: elements that are in both set A and B

union: elements that are in either set A or B

Which of the following is the conjugate of a complex number with 2 as the real part and −4i as the imaginary part? (6 points)

2 − 4i
2 + 4i
−4i − 2
4i − 2

Answers

the answer would be B.

2 + 4i  goodluck !! :))

Answer is B because it makes the most sense

Find the solution for
h - 12 =6

Answers

Answer:

H-12=6

H−12+12=6+12

h=18

Answer:

h=18

Step-by-step explanation:

h-12=6

is the normal eqaution, you need to determine the value of h, on the left side of the eqaution you have negative twelve we must get the h on its own by moving the 12 to the right side using of basic math rules you must know that when you have a negative and want to move it to the right hand side it must become a positive

so in formula it wil look like this

h = 6 + 12

Add up 6 with 12 that wil give you 18

so the value of h is then 18

h = 18

.
Please help
Add or subtract.

Answers

Answer:

Lt is very easy answer u can't

Answer:

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

Step-by-step explanation:

[tex]\frac{x}{x^2-2x-24}-\frac{-4}{x^2-2x-24}\\\\\frac{x-(-4)}{x^2-2x-24}\\\\\frac{x+4}{(x+4)(x-6)}\\\\\frac{1}{x-6}[/tex]

x = ??? What is x?? Solve for x

Answers

Answer:

x= 11

Step-by-step explanation:

4x-8 = 3x+3 (those angles are corresponding angles so they are equal to each other)

4x-3x =3+8

x =11

X would equal to 11.
4x - 8 = 3x + 3
We know this since they are corresponding angles.
1X = 8 + 3
8 + 3 = 11 therefore that is the answer.
Hope this helps, please like :)

6abc2 + 6a2bc


A=1
B=2
C= -3

Answers

[tex]\\ \rm\longmapsto 6abc^2+6a^2bc[/tex]

[tex]\\ \rm\longmapsto 6(1)(2)(-3)^2+6(1)^2(2)(-3)[/tex]

[tex]\\ \rm\longmapsto 12(9)+6(-6)[/tex]

[tex]\\ \rm\longmapsto 108-36[/tex]

[tex]\\ \rm\longmapsto 72[/tex]

The answer to this equation is 72

The balloon uses 4.5 quarts of gas in 7 minutes. How many gallons will it use per hour?

Answers

Answer:

≈9.64 gallons

Step-by-step explanation:

To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.

4.5 quarts = 7 minutes

First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1

4.5/7 quarts = 1 minute

Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60

4.5 * 60 / 7 quarts = 60 minutes = 1 hour

We now know how many quarts are in an hour, so we can now convert quarts to gallons

4 quarts = 1 gallon

divide both sides by 4

1 quart = 1/4 gallons

To get from quarts to gallons, we can divide by 4, so we have

(4.5 * 60 / 7)/4 = 4.5 * 60 / 28

≈9.64 gallons

A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes. How many typewriters are required for a complete display

Answers

Answer:

36 different combinations

Step-by-step explanation:

3 colors * 6 types * 2 sizes

3*6*2 = 36 different combinations

36 typewriters are required for a complete display

Given :

A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes

Colors =3

Styles =6

sizes =2

To find number of typewriters required we multiply the colors , styles and sizes available

Number of typewriters required=[tex]3 \cdot 6 \cdot 2= 36[/tex]

36 typewriters are required for a complete display

Learn more : brainly.com/question/20781178

Find the differential of the function w=xsin(2yz^4).

Answers

The differential of

[tex]w = x \sin(2yz^4)[/tex]

is

[tex]\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz[/tex]

where the partial derivatives are

[tex]\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)[/tex]

So the differential dw is

[tex]\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz[/tex]

multiply the fraction 5/6 to the decimal 2.4

Answers

Answer:

answer is 2. thank you. have a nice day

BRAINLEST IF CORRECT!!!!

Answers

x=5
because right angle is 90 degrees

Answer: x = 5

Step-by-step explanation:

Given information

The combined angle is a right angle meaning it is 90°

Angle 1 = 8x°

Angle 2 = 50°

Set equation

Angle 1 + Angle 2 = Total angle

Substitute values into the equation

8x + 50 = 90

Subtract 50 on both sides

8x + 50 - 50 = 90 - 50

8x = 40

Divide 8 on both sides

8x / 8 = 40 / 8

x = 5

Hope this helps!! :)

Please let me know if you have any questions

mr tan is 42 years old and mrs tan is 44 years old now. they have 3 children who are 7 years, 5 years and 2 years old now. in how many year time will the sum of mr and mrs tan's age be 4 times of the sum of their 3 children's age

Answers

Answer:

3 years

Step-by-step explanation:

let the number of years required be x

hence

42+x+44+x = 4(7+x+5+x+2+x)

86+2x = 4(14+3x)

86+2x = 56+12x

2x-12x = 56-86

-10x = -30

x = 3

2/5 over 2/3, I don't understand

Answers

Answer:

it basically means 2/5 divided by 2/3. The answer comes out to approximately 1.067

Step-by-step explanation:

In other words  (2÷5) ÷ (2÷3)

Hope that answers your question!

say whether each of these statements about square numbers is always true, sometimes true or never true


a the last digit is 5
b the last digit is 7
c last digit is a square number.
last digit is not 3 or 8​

Answers

Assigning answers to statements about square numbers, whether it is always true, sometimes true or never true:

a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8​ - never true

What are square numbers?

The term square numbers refers to numbers which are gotten when an integer multiplies itself. It is also called a perfect square. This number type is important in the field of mathematics and always applied.

Example of perfect squares are 4, 9, 16, 25, 36, 49, 64. 91, 100 and so on.

A perfect square will never have 2, 7, 3, or 8 as the last digit hence we can say that:

a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8​ - never true

Read more perfect squares here: https://brainly.com/question/26119721

#SPJ1

HELP PLEASE!! (Look at the picture)

Answers

9514 1404 393

Answer:

  C.  60%

Step-by-step explanation:

Of the 5 bowls listed, bowls 2 and 4 are out of the allowed tolerance range. That leaves 3 of the 5 bowls that can be used.

  3/5 × 100% = 60% . . . fraction of bowls that can be included

If point (-3,1) is in the function p(x), which of the following points will be in the function p-|(2)?


PLZ HELP I NEED IT

Answers

Answer:

C

Step-by-step explanation:

for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign

The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function p(x) has point (-3, 1 )

An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x

The point that will be in the inverse function of (x,y) is (y,x)

(-3,1) -----> ( 1,-3)

To know more about Function

https://brainly.com/question/12431044

#SPJ5

The area of a rectangle is 77 yd square, and the length of the rectangle is 3 yd more than twice the width. Find the dimensions of the rectangle.

Length :

Width :

Answers

Answer:

Length = 14 yd

Width = 5.5 yd

Step-by-step explanation:

Let width = x and length = 2x + 3

The formula for area is length x width.

(2x + 3) ( x ) = 77

2x² + 3x - 77 = 0

-77 x 2 = -154

What two numbers multiply to -154 and add to 3?

2x² + 14x - 11x - 77 = 0

2x (x + 7) - 11 (x + 7) = 0

(2x - 11) (x + 7) = 0

x = -7 (this isn't possible so ignore it)

x = 5.5 (width)

Now insert 5.5 into the initial equation.

2 (5.5) + 3 =

11 + 3 = 14

Answer:

Length is 3

width is 25•66

Step-by-step explanation:

Hope it helps!

Thanks.

Gh bisects cf =2y-2 and cd =3y-11 find cd

Answers

Answer:CD is 4

Step-by-step explanation: ham

HELP HELP HELP HELP HELP
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2/5

Step-by-step explanation:

you multiply the denominators and numerators so

4 * 1 and 5 *2 leaving you with

4/10

since it says simplify you would just divide by 2 leaving

2/5

find the derivative of the function y= x^20

Answers

Answer:

Step-by-step explanation:

[tex]\frac{dy}{dx} =20x^{19}[/tex]

How do they get Question 3

Answers

Answer:

400÷10=40

Step-by-step explanation:

the question asks for you to divide each number in the pattern by 10.

the first number is 400

400÷10=40

then you would do 40÷10=4

then 4÷10=0.4

then 0.4÷10=0.04

so the pattern would be

400 , 40 , 4 , 0.4 , 0.04

hope this helped!

47.16 to the nearest tenth​

Answers

Answer:

47.2

Step-by-step explanation:

Comparing Values Compare the values of the underlined digits. 1. The 4 in 3,492 and the 4 in 704

Answers

9514 1404 393

Answer:

  4 in 3492 is 100 times 4 in 704

Step-by-step explanation:

To find the value of a particular digit, set the other digits to zero.

  4 in 3492 = 400

  4 in 704 = 4

The first 4 is 100 times the value of the second 4.

How many angles does this shape have?

Answers

Answer:

6 angles.

Step-by-step explanation:

This shape is a hexagon, since it has 6 sides. And because it has 6 sides, it has 6 vertexes, also known as angles.

Hope this helps!

6 angels sir or ma’am
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