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3 years ago

Find the simplified form of the expression. Give your answer in scientific notation. (8x10^4)(9x10^-8)

Mathematics

2 answers:

Maslowich3 years ago

8 0

7.2x10^-3 is the correct answer :)

Orlov [11]3 years ago

6 0

<span>you just have to multiply the bases. 3 x 9 = ? add the exponents of the base 10 10^8(10^7)= 10^(8+7)</span>

You might be interested in

(x-2)times (x^2+8x-1)

DerKrebs [107]

Answer:

x^3+6x^2-17x+2

Step-by-step explanation:

(x-2)*(x^2+8x-1)

=x(x^2+8x-1)-2(x^2+8x-1)

=x^3+8x^2-x-2x^2-16x+2

collect like terms

= x^3+6x^2-17x+2

6 0

3 years ago

Robin spent $ 28 at an amusement park For admission and rides. If she paid $6 for admission and rides cost $2 each what is the t

motikmotik

Answer:

11 rides

Step-by-step explanation:

let the total amount be y

and let the number of ride be x

the expression for the situation is y=mx+c

given

total amount=$28

admission fee= $6

cost per ride=$2

we are expected to find x

substitute into the expression we have

28=2x+6

28-6=2x

22=2x

divide boths sides by 2 we have

x=22/2

x=11

the number of rides is 11

4 0

3 years ago

At a grocery store, the price of a watermelon is determined by how many pounds the watermelon weighs. The price of a watermelon

Alexxx [7]

Answer:

$p=0.60w$

Step-by-step explanation:

Let

p ----> the price of a watermelon in dollars

w ---> the weight of a watermelon in pounds

In this problem we have a proportional relationship

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

$p=kw$

The value of the constant of proportionality k is the same that the unit rate

Find out the unit rate

Divide the total cost by the total weight

$k=\frac{4.38}{7.3}=\$0.60\ per\ pound$

substitute in the equation

$p=0.60w$

7 0

3 years ago

A radioactive substance decreases in the amount of grams by one-third each year. If the starting amount of the

katovenus [111]

Answer:

The sequence is geometric. The recursive formula is $a_{n}=2/3a_{n-1}$

Step-by-step explanation:

In order to solve this problem, you have to calculate the amount of the substance left after the end of each year to obtain a sequence and then you have to determine if the sequence is arithmetic or geometric.

The substance decreases by one-third each year, therefore:

After 1 year:

$1452-\frac{1}{3}(1452)$

Using 1452 as a common factor and solving the fraction:

$1452(1-\frac{1}{3})=1452(\frac{2}{3})=968$

You can notice that in general, after each year the amount of grams is the initial amount of the year multiplied by 2/3

After 2 years:

$968(\frac{2}{3})=\frac{1936}{3}$

After 3 years:

$\frac{1936}{3}(\frac{2}{3})=\frac{3872}{9}$

The sequence is:

1452,968,1936/3,3872/9....

In order to determine if the sequence is geometric, you have to calculate the ratio of two consecutive terms and see if the ratio is the same for all two consecutive terms. The ratio is obtained by dividing a term by the previous term.

The sequence is arithmetic if the difference of two consecutive terms is the same for all two consecutive terms.

-Calculating the ratio:

For the first and second terms:

968/1452=2/3

For the second and third terms:

1936/3 ÷ 968 = 2/3

In conclussion, the sequence is geometric because the ratio is common.

The recursive formula of a geometric sequence is given by:

$a_{n}=ra_{n-1}$

where an is the nth term, r is the common ratio and an-1 is the previous term.

In this case, r=2/3

7 0

3 years ago

Hello please help me with this ASAP! :)<br><br> Ignore the chosen answer lol

horrorfan [7]

Answer:

2/12

Step-by-step explanation:

Because there are 6 tile total but he wants two put 2 numbers out of the bag twice..... you get the 12 because he pulls a number out twice and since he has 6 and then does it again it adds to 12 so the answer would be 2/12

3 0

3 years ago