18. The half-life of a radioactive isotope is 7 years.
Initially, there are 100 grams of the isotope.
Which expression shows the amount of the isotope
remaining after x years?

Answers

Answer 1

Answer:

100(0.5)^X/7

Step-by-step explanation:

That is how you would put it ;)


Related Questions

Need help on this? Please help

Answers

parallel: g(x) = -5/3x + 1

perpendicular: h(x) = 3/5x - 5

neither: j(x) = 2x + 3

make
x
the subject of the formula
p
+
x
=
t

Answers

Answer:

x = t - p

Step-by-step explanation:

p + x = t

subtract p from both sides.

x = t - p

solve for x round your answer to the nearest tenth

Answers

x = 10.7
use the pythagorean theorem to find the side adjacent to x then use it to solve for x

What tropism does this experiment represent?

The straw scrunched up and expanding represents is a representation of

Correct answer:

turgor pressure

.

Answers

Genova:waikaiean wiz

On a map of a fair, the Ferris wheel is located at (3, 2). The carousel is located 5 units south of the Ferris wheel. What ordered pair represents the location of the carousel?

Answers

Answer:

(3,-3)

Step-by-step explanation:

It is located 5 units south, which means it is on the y-axis line. So, you would subtract 5 from 2 (2-5) and that gives you -3.

Use I'Hopital's Rule more than once to rewrite the limit in its final form as lim x --> 0
lim x --> 0 e^x -sinx - 1/ x^4 + 7x^3 + 8x^2

Answers

To compute the limit

[tex]\displaystyle\lim_{x\to0}\frac{e^x-\sin x-1}{x^4+7x^3+8x^2}[/tex]

notice that when x = 0, both the numerator and denominator converge to 0. Apply l'Hopital's rule once gives

[tex]\displaystyle\lim_{x\to0}\frac{e^x-\cos x}{4x^3+21x^2+16x}[/tex]

but again, this returns the indeterminate form 0/0. Applying again gives

[tex]\displaystyle\lim_{x\to0}\frac{e^x+\sin x}{12x^2+42x+16}[/tex]

so that the numerator converges to e⁰ + sin(0) = 1, and the denominator converges to 12•0² + 42•0 + 16 = 16.

So the limit is 1/16.

These two triangles are similar. What is the length of side a and b? Help ASAP pleasee! Look at the screenshot Please, Thank you! :)

Answers

Answer:

do you have 12 as an answer?

what is the square root of 31

Answers

Answer:

5.567764363 or rounded off to two decimal places 5.57

Step-by-step explanation:

Calculator

write the equivalent fraction by division 30 by 42​

Answers

Answer:

5/7

Step-by-step explanation:

5/7 is the simplified fraction for 30/42 by using the GCD or HCF method

Keke had 1,0000,0000,0000,0000,00000,000, points and javonni had 8,0000”00000,00000,00000,000 and Dan need eight zillion More how much does he has before he given more?

Answers

Answer:

Step-by-step explanation:

What is the area, in square inches, of the shaded part of the shape?
A.110 square inches
B.48 square inches
C.140 square inches
D.80 square inches

Answers

C 140 square inches area

What is the slope of the line​

Answers

Answer:

Positive, Upward Slope.

Step-by-step explanation:

Answer:

the slope of a line shows how steep a straight line is, or the direction of a straight line

if 3(x-1) -5(x-4)=8 find the value of x-5 whole 1/2​

Answers

Step-by-step explanation:

3(x-1) -5(x-4) = 8

3x-3 -5x+20 = 8

3x -5x -3 +20 = 8

-2x + 17 = 8

17 -8 = 2x

9 = 2x

2x = 9

x = 9/2

Answer:

3(x-1)-5(x-4)=8

We move all terms to the left:

3(x-1)-5(x-4)-(8)=0

We multiply parentheses

3x-5x-3+20-8=0

We add all the numbers together, and all the variables

-2x+9=0

We move all terms containing x to the left, all other terms to the right

-2x=-9

x=-9/-2

x=4+1/2

which expression represents purely real numbers and which expression represents non-real complex number?​

Answers

Incomplete question. However, I provided some explanation about non-real complex numbers.

Explanation:

In Mathematics, the term complex numbers (non-real complex numbers) in simple terms refers to numbers that containing an imaginary addition to it.

For example, the numbers 3i, 3 + 5i, 3i/4 are non-real numbers because of the addition of an imaginary part which is denoted by 'i'.

While real numbers, on the other hand, are numbers that do not include an imaginary part; they stand on their own, such as whole numbers 0, 1, 2, 3, etc, rational numbers like 3/4, etc.

Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x

Answers

The answer is x(x-6) (x+4)

−8 (1 + x) + 7x PLEASE HELP

Answers

Answer:

-8-x or -x-8 or x=-8

Step-by-step explanation:

Distribute the -8 to the (1+x)

-8-8x+7x

then add the -8x+7x

-8-x or -x-8

and if you want to solve for x

x=-8

3.) Solve:
5x + 3- 3x = 2(x + 3) - 5

Answers

Answer:

0 = -2

Step-by-step explanation:

Answer:

no answer.

Step-by-step explanation:

5x + 3 - 3x = 2(x + 3) - 5             Simplify the left.

2x + 3 = 2(x + 3) - 5                    Remove the brackets

2x + 3 = 2x + 6 - 5                      Simply the right

2x + 3 = 2x + 1                            

It doesn't matter what you do, this is going to give you an impossible answer. The 2x's will cancel out and you will get 3 = 1 which is impossible.

the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism

Answers

Answer:

length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

 (b^3 +3b^2) -(4b +12)

 = b^2(b +3) -4(b +3) . . . factor each pair of terms

 = (b^2 -4)(b +3) . . .  write as a product

 = (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares

The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.

The possible dimensions of the prism are:

Length: 9x, 5x + 7, or x + 3

Width: 5x + 7, x + 3, or 9x

Height: x + 3, 9x, or 5x + 7

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.

We start by looking for common factors among the coefficients of the three terms:

45x³ + 198x² + 189x

= 9x (5x² + 22x + 21)

Now we can factor the quadratic expression inside the parentheses:

5x² + 22x + 21

= 5x² + 15x + 7x + 21

= 5x(x + 3) + 7(x + 3)

= (5x + 7) (x + 3)

The volume expression can be factored as:

45x³ + 198x² + 189x

= 9x (5x + 7) (x + 3)

Thus,

The possible dimensions of the prism are:

Length: 9x, 5x + 7, or x + 3

Width: 5x + 7, x + 3, or 9x

Height: x + 3, 9x, or 5x + 7

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ2

-324/18
Plz show all the steps of how you got the answer.

Answers

Answer:

-18

Step-by-step explanation:

Step 1 - divide the numerator and denominator by 18

-324÷18 / 18÷18

Step 2 - divide the numbers

-18 / 18÷18  

-18/1

any expression divided by 1 remains the same

-18

what is true of the data in the dot plot? Check all that apply.


Number of Minutes Shelly Spent Waiting for the Bus Each Morning

A dot plot going from 10 to 15. 10 has 2 dots, 11 has 4 dots, 12 has 0 dots, 13 has 3 dots, 14 has 6 dots, 15 has 1 dot.

The center is 13.

The center is 14.

The peak is at 14.

It has two clusters.

It is skewed left.

The spread is from 13 to 15.

The person waited for the bus 16 times.

Answers

Answer:

True answers

The center is 13

The peak is at 14

It has two clusters

It is skewed left

The person waited for the bus 16 times

Step-by-step explanation:

Edge2021

Answer:

A, C, d, e, g

Step-by-step explanation:

Help me please! This is very confusing.

Answers

Answer: 60°

Step-by-step explanation:

Answer: x=60

Step-by-step explanation:

120+120= 240

360-240= 120

120/2= 60

15 POINTS! Please solve: 3 - 2x = 13 + 3x

Answers

Answer:

x= -2

Step-by-step explanation:

hope this helped <3

3-2x = 13+ 3x
-5x = 10 divide by -5
x= -2

Please Answer!

Which expression is equivalent to the given expression?


​4(a−3)​=


​ −8a ​

​4a−12​

4a−3

−4(a+3)

Answers

4a-3

because 4(a-3) what’s in () can’t be done so you go to the next step in pemdas and multiply and then you write it out and your done

Answer: The answer is ​​4a−12

(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP

Answers

Answer:

2 k 3 − 3 k 2 − 2 k

Step-by-step explanation:

Answer: ...

2k^3−3k^2−2k

which expressions are equal ?

Answers

Answer:

Step-by-step explanation:

Options B and D are correct as they are equal to 1728

B and D is the answer

How many 2/7 s are in 3?

Answers

Answer: 11 is the answer.

there are 11 2/7's in 3 with a remainder of 1/7, 11 1/7.

Step-by-step explanation:

Answer:

10.5 or 21/2

Step-by-step explanation:

The question is asking how many 2/7 are in 3. So let make 3 a equivalent fraction that has 7 as it denomanater. 7/7 is 1, 14/7 is 2, so 21/7 is 3. Now let divide 21/7 by 2/7.  flip 2/7 around to 7/2 then multiply by 21/7 which equals

[tex]\frac{147}{14}[/tex] which equals 10.5 or 21/2.

PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST

Answers

Answer:

The area of the large rectangle can be represented in two ways. Either the sum of each of the areas of the individual smaller rectangles, which is what the first equation represents, as its the base multiplied by the height (a) of each rectangle.

The second equation is a simplified version of the first one, and can be explained in three ways:

Each of the terms in the earlier equation had a common factor of a, which could be taken outside the parentheses.

or

Since the height is the same for each of the smaller rectangles, you can just multiply the height times the sum of the three smaller rectangle's widths

or

The width of the large rectangle is just the sum of each of the smaller widths, so the sum of those multiplied by a will give the area of the large rectangle.

Hope this helps!

Between which two values would 50% of the data lie? Select all that apply. 15 and 40 15 and 45 40 and 50 45 and 50 45 and 60

Answers

Answer:

The answer is:

(2). 15 and 45

(3). 40 and 50

(5). 45 and 60

Step-by-step explanation:

Hope this helps! Also can i have brainliest?

Find the value of x in the triangle.
67 113
293
7

Answers

Answer:

         x = 67°

Step-by-step explanation:

The sum of measures of angles in triangle is allways 180°

So:

   x + 53° + 60° = 180°  {subtract 113° from both sides}

   x = 67°

An ant travels at 45 cm every 3 minutes how far does the ant travel in 1 minute?

Answers

Answer:

15 cm every 1 minute

Step-by-step explanation:

Simply divide 45 by 3

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