Mathematics College

A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...

A Sequence Begins With-3. Each Term Is Calculated By Multiplying The Previous Term By -4, Then Subtracting

Answers

Answer 1

Answer:

A

Step-by-step explanation:

We know that to find the next term we have to do

-3(-4)-1, which is equal to 11.

There are only to solutions with the '11' as the second term, A and C.

It can't be C as curly brackets state a set of numbers.

A Sequence Begins With-3. Each Term Is Calculated By Multiplying The Previous Term By -4, Then Subtracting

Related Questions

What is the equation of the line that passes through the point (8,3) and has a slope of -1/2

Answers

Answer:

y=-1/2x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-8)

y=-1/2x+8/2+3

y=-1/2x+4+3

y=-1/2x+7

Please answer these!!!! :D

Answers

Question 7: greater than

factor the given expression. 64x^3-343

Answers

Answer:

( 4 x − 7 ) ( 16 x 2 + 28 x + 49 )

Step-by-step explanation:

Answer:

(4x - 7) (16x^2 + 28x + 49)

Step-by-step explanation:

Since both terms are perfect cubes, factor using the difference of cubes formula, a^3 - b^3 = (a - b) (a^ 2  +  a b  +  b^ 2 )  where  a  =  4 x  and  b  =  7 .

If the sales tax in your town was 7%, and you paid $1,400 in sales tax on your new car, then what was the original
price of the car? And what is the total price including sales tax?
Please be accurate of your answer and explain.

Answers

Answer:

$20,000

Step-by-step explanation:

20,000 / 0.07 = 1400

Find the values of sin, cosine, and tangent, for

Answers

A B=5
sin=3/5
cos=4/5
tan=3/4

[tex]sin = \frac{opposite}{hypotenuse} = \frac{3}{5} = 0.6\\\\cos = \frac{adjacent}{hypotenuse} = \frac{4}{5} = 0.66666666666666666666666666666667\\\\tan = \frac{opposite}{adjacent} = \frac{3}{4} = 0.75\\\\hypotenuse = 5[/tex]

HOPE THIS HELPS :)

9490 divided by 5.explain how you got the answer

Answers

Answer:

The number 9490 is called the numerator or dividend, and the number 5 is called the denominator or divisor.

The quotient of 9490 and 5, the ratio of 9490 and 5, as well as the fraction of 9490 and 5 all mean (almost) the same:

9490 divided by 5, often written as 9490/5.

Read on to find the result of 9490 divided by 5 in decimal notation, along with its properties.

Which that is that could be represented by the plot chart shown below?

Answers

Answer:

24 25 26 27 28 29 30 31 32 33 34

Step-by-step explanation:

What is the constant term -6+x4-x2

Answers

Answer:

-6

Step-by-step explanation:

A constant term is a term that does not have a variable attached, x4 and x2 are both terms that include a variable, so -6 is the constant term.

A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?

Find the number of meters a speed skater and a cheetah travel in 1 second.

A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.

Answers

skater 500 m / 40 sec= 12.5 m/ sec

Cheetah 260/10 = 26 m/ sec= The cheetah is more than twice as fast as the skater

So number 1 is 12.5

Number 2 is 26

Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths of the missing sides of figure B
A 4 sided polygon, labeled A, with sides labeled as follows: left, 15, top, 12, right, 18, bottom, 20. A smaller, 4 sided polygon, labeled b, oriented the same way, has left side labeled: 3.

Answers

Answer:

Left 3, top 2.4, right 3.6, bottom 4. Scale factor 5

Step-by-step explanation:

Divide 5.6 by 0.7 the quotient is what ?

Answers

The answer for this is 8.
The answer is 8 if you need anything else tell me.

i need some help, please

Answers

Answer:

i think probably x = 10

Step-by-step explanation:

sin(60°) = 5√3/x

√3/2 = 5 √3/x

√3 x = 10√3

x = 10

Graham drove 42 - miles in 1
hours. How many miles did he
drive in one hour? How man
hours did he take to drive one
mile?

Answers

42 1/3 / 11/3
miles divided by hour makes miles per hour.
42.3333... / 3.6 =
about

11.545454.....(done with fraction calculator)
or 11.75 (done by hand)

Joyce drives from Louisville to St. Louis which is 260 miles in 4 hours. How many miles can she drive in 10 hours

Answers

650 miles!!!!!!!!!!!!!!

Answer:

260 miles in 4 hours equals (260 / 4) = 65 miles per hour

In 10 hours she can drive 650 miles

Step-by-step explanation:

6x+3y=13 find the value

​

Answers

6x+3y=13

6x+3y-13=13--13

6x+3y-13=0

I need help plz I've tried so many ways :(​

Answers

Answer:

Below in bold.

Step-by-step explanation:

0.3. e^3x = 27

Taking logs of both sides:

ln (0.3. e^3x) = ln 27

ln (0.3) + ln e^3x = ln 27

ln e^3x = ln 27 - ln(0.3)

3x = ln 27 - ln 0.3

3x = ln(27/0.3) = ln 90

x = 1/3 ln 90

x = ln (90^1/3)

Approximate value of x:

= 1.499936557

= 1.500 to the nearest thousandth.

Mr. Jay sells a box of 15 seedlings for new trees for $12.84. Mr. Tony sells a box of 18 seedlings for $14.95. What is the cost per seedling for each person? Round your answer to the nearest cent (hundredth). Which is the better buy?

Mr. Jay’s cost $____________ per seed. Mr. Tony’s cost $____________ per seed.

Buying a box of seedlings from _____________________ is the batter buy.

Answers

Answer: Mr. Jay’s cost 85 cents and Mr. Tony’s costs 83 cents.

Step-by-step explanation:

you divide the price by how many seeds they sold.

Find (fog)(x) and the domain

Answers

Answer:

(fog)(x) = 2sqrt(x) + 3

Domain: {x | x ∈ R, x>=0}

Step-by-step explanation:

(fog)(x) = f(g(x))

let f(a) = f(g(x))

f(a) = 2a+3 = 2(g(x)) + 3 = 2sqrt(x) + 3

To find domain, pick most restricting domain of the functions that make up the compound function.

The slope of a line passing through (3,y) and (6,-7) is -4. Solve for y.

Answers

Answer:

6 (i think :/)

Step-by-step explanation:

12a^2*b^4-36a^2*b+44abc

Answers

Let's simplify step-by-step.

[tex]12a^2*b^4-36a^2*b+44abc=[/tex]

There are no like terms.

Answer:

[tex]12a^2*b^4-36a^2*b+44abc=[/tex]


Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:

Answers

Answer:

A,C and D are the answers.

Step-by-step explanation:

I did it on Khan Academy and got it right.

What is the missing number in the table

Answers

16
Because the pattern is *4
So 4*4 =16

4. The function y=-0.12x + 0.4 represents the percent y in decimal form of
battery power remaining x hours after turning on the laptop.

The slope is BLANK. This means the power is BLANK
by BLANK % per hour.

Please fill in blanks tysm

Answers

Answer:

Slope=0.12   power is down by 28%

Step-by-step explanation:

:)

the question is what is 4p - 9

Answers

Answer:

4xp-9

Step-by-step explanation:

2/3 plus 1/4 plzzzzzzzzzzzzzzzzzz

Answers

11/12

Answer:

1. find the least common denominator (LCD) of 2/3, 1/4 in other words, find the Least Common Multiple (LCM) of 3,4

Least Common Multiple (LCM) of 3,4 LCD = 12

Least Common Multiple (LCM) of 3,4 LCD = 122.

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__3 x 4 4x3

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__3 x 4 4x33. Simplify denominators are Now The Same.

8/12 + 3/12

4. join the denominators

__8+3_____

12

5. Answer 11/12

Btw the Lines are Just For Separating numbers.

what is -5.3125 in The real Number System?

Answers

Answer:

It'd be a rational number

Step-by-step explanation:

Real numbers are a set of numbers containing all of the rational numbers and all of the irrational numbers.

Types of numbers in the rational number "section" are decimals, whole, mixed, and fraction numbers whether they are negative or positive they are rational numbers.

Irrational numbers are numbers that cannot be expressed as the ratio of two integers. So they would be square root, pi and more.

The product of two irrational numbers is
______ rational

Answers

Answer:

The product of two irrational numbers will not be irrational.

Step-by-step explanation:

Answer:

The product of two irrational numbers will not be irrational.

Step-by-step explanation:

help me plzzz its too hard

Answers

23.27
- 5.3
______
17.97

1) 0.52 + 1.6 + 8.26 =
2) 1.4 + 5.98 + 9 + 0.39 =
3) 4.45 + 7 + 0.049 =
4) 12.54 – 1. 054 =
5) 0. 685 – 0. 5903 =
6) (34. 89) (0.875) =
7) (840) (0.625) =
8) 28.5 ÷ 0.87 =
9) 104 ÷ 6.4 =

Answers

Step-by-step explanation:

1 10.38

2 16.77

3 11.499

4 11.486

5 0.0947

6 30.52875

7 525

8 32.57862069

9 16.5625

A rectangular swimming pool is 4 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 1800 cubic feet.
Find the dimensions of the pool.

Answers

Answer:

19 x 23.5 x 4

Step-by-step explanation:

4 * x * (x + 4.5) =1800

Divide both sides by 4

x * (x + 4.5) = 450

Use distributive property

x^2 + 4.5x = 450

Move all terms to one side

x^2 + 4.5x - 450 = 0

Use quadratic formula to solve   a = 1, b = 4.5, c = -450

-4.5 +- [tex]\sqrt{4.5^2 - 4 * 1 * -450}[/tex]/2

=-4.5 + - [tex]\sqrt{1820.25}[/tex] / 2

= -4.5 +- 42.664 / 2

=19.08 and -23.582. You can't have a negative length, so it is 19.08, or 19

19 x 23.5 x 4

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