The number of grams of a radioactive isotope present after t years is 1,500(1/2)^t. What does 1,500 represent if
t>0
A. The original number of grams of the radioactive isotope present
B. The number of grams of the radioactive isotope present after 1/2 year
C. The number of grams of the radioactive isotope present after 2 years
D. The final number of grams of the radioactive isotope present

Answers

Answer 1
D because The isotope is radioactive
Answer 2

The value 1500 in the expression represents option A. The original number of grams of the radioactive isotope present.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given an exponential expression,

The number of grams of a radioactive isotope present after t years is 1,500(1/2)^t.

Here t is the number of years.

1/2 is the rate of decay of the isotope.

1500 is the initial amount.

We can say that the expression equals 1500 when t = 0.

But it is given that t > 0.

That is, 1500 is the amount which is equal to the original number of  grams of isotope.

Hence the number 1500 represents the original number of grams of the radioactive isotope present.

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Related Questions

The equations in the system below are parallel.

y = 3 x + 5. y = 3 x + 8

How many solutions does the system have?

Answers

the system has no solutions

Answer:

The Correct Answer is: A

Step-by-step explanation:

A: No Solutions

This is the correct answer.

I really hope that this answer will help anyone in need of an answer.

Thank you!!

A perfect square has an area of 169 ft. What is the length of
a single side of that square?

Answers

Answer:

13

Step-by-step explanation:

I used a calculator.

What is the sum of these expressions: (-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)

Answers

Answer:

0.6t - 4.3s - 2.6.

Step-by-step explanation:

PEMDAS

Answer:

-4.3s+0.6t-2.6

Step-by-step explanation:

Add like terms:

-3.5t+4.1t-4s-0.3s+4.5-7.1

= 0.6t-4.3s-2.6

= -4.3s+0.6t-2.6

What is the distance between the points (22, 27) and
(2,-10)? If necessary, round your answer to two decimal
places.

Answers

Answer:

d = 42.06

Step-by-step explanation:

d=(2−22)2+(−10−27)2−−−−−−−−−−−−−−−−−−−√

d=(−20)2+(−37)2−−−−−−−−−−−−−√

d=400+1369−−−−−−−−−√

d=1–√769

d=42.059482

WILL MARK BRAINLIEST! If you buy 3 pounds of hamburg for $8.97, how much will it cost for 5 pounds of hamburg?

Answers

Answer:

14.95

Step-by-step explanation:

every 1 pound is 2.99 so you would do 2.99 * 5

Answer:

$14.95

Step-by-step explanation:

To find the slope or the cost per pound of hamburger you divide 8.97 by 5 in order to find out it costs 2.99 per hamburger. You then, multiply 2.99 by 5 to gather that to buy 5 pounds of hamburger it would cost $14.95.

A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. How much does the store charge for 1 additional turkey sub? Describe a rule of determining how much the store charges based on the number of turkey subs delivered

Answers

Answer:

32

Step-by-step explanation:

26+6 =32

What is the reciprocal of 3/4?
2
4/3
3/4
1/4 lb
none of the above

Answers

The reciprocal of 3/4 is 4/3.

Hope it will be helpful to u

The answer is 4/3. The reciprocal is just that opposite which is flipped around.

PLEASE HELP!!!! attached photo

Answers

Answer:

(-1, -2.5)

Step-by-step explanation:

The midpoint formula is just basicallyadding both  of the x values and then dividing the sum of them by 2, after that you will be adding both y values and then dividing them by 2, then you will get the midpoint x and y coordinate values. You can look up midpoint formula on google to see how it's actually written. You have to make sure to add correctly when you are using the negative numbers, because they can actually turn the equations into subtraction. Keep in mind, it can beconfusing sometimes when you are working with positive and negative numbers together. So make sure to just double check your work and also to make sure you added correctly.

Brainliest please, I need a few more :D

What is the area of this triangle?

A. 12 square centimeters

B. 36 square centimeters

C. 16 square centimeters

D. 18 square centimeters

Answers

Answer:

A is the correct answer.

Step-by-step explanation:

The formula for the area of a triangle is A = 1/2 b x h

The base in this triangle is 6 and the height is 4 so 6 x 4 = 24.

Now we divide 24 by 2 which gives us 12 square centimeters.  

Hope this helps

Answer: A. 12 square centimeters

Step-by-step explanation:

The area of a triangle is (1/2)bh because any triangle is half of a square (square formula = bh).

1/2bh --> 1/2  * 6 * 4 --> 12 square centimeters

Hope this helps! Good Luck :)

Find the distance between the points (3,−5) and , (−7,−5).

Answers

Answer:

the awnser is 10

What is the domain of the following parabola? (5 points)
3
-2
-1/
x
1
xs1
All real numbers
ys2

Answers

Answer:

Step-by-step explanation:

The domain of this quadratic is "all real numbers."  The function is defined for all x.  

acute scalene Triangle

right scalene triangle

acute isoceles triangle

right equilateral triangle

Answers

Answer:  I hope this helps

Right scalene triangle

Step-by-step explanation:

The triangle that I made with 4cm, 7cm, and 8 cm. had a right angle and also has all unequal sides which is basically the exact definition of a right scalene triangle.

Please mark brainliest if you are satisfied with this answer  :)

Please help with #24

Answers

Answer:

Step-by-step explanation:

math question screen shot below

Answers

Answer:

a.3 m/s

Step-by-step explanation:

90 divided by 30

plz give brainliesttt

An angle is supplementary and one measures 70° what is the measurement of the other angle?

Answers

Answer:

x= 110

Step-by-step explanation:

Supplementary angles add to 180

Let x be the other angle

x +70 =180

Subtract 70 from each side

x+70-70=180-70

x = 110

Answer:

110 degrees

Step-by-step explanation:

Supplementary angles add to 180 degrees.

We have two angles: one is unknown and the other is 70 degrees.

These 2 angles added together must equal 180.

x+70=180

Since we are trying to find x, the unknown angle, we have to get x by itself. Since 70 is being added to x, subtract 70 from both sides.

x+70-70=180-70

x=110

So, the other angle is 110 degrees

Find the area of a face of a rectangular prism.

What is the area of the front of the prism?

Area =
cm2

Answers

Answer:

It is L*W*H.

Width times Height

Step-by-step explanation:

I don't know what you are exactly talking about, there are no attached worksheet. But if you are talking about the formula for the rectangular prism.

Formula for rectangle prism: L*W*H

Area of the front of the prism: Width times height

Answer:

12cm2

Step-by-step explanation:

edge 2020 correct on assignment

40 - 80 -
60
40 - 80 + 80
60 + ?
4c =
40
20
?

Answers

Answer:

The answer is ZERO ( 0 )

Answer:

The accurate answer is 0 (zεʀο)

Find the surface area of the figure. Round to the nearest hundredth.

Answers

SA of half of this cylinder:

1/2*2pi(3)^2+1/2*2pi*3*25

9pi+75pi

84pi cm^2 OR 263.89 cm^2

What is the area C in terms of

Answers

Answer: D

Hope this help

Use the ratio test to determine whether the series is convergent or divergent.2 +4/2^2 + 8/3^2 + 16/4^2 +

Answers

Answer:

The result is 2 > 1. Hence, the series diverges

Step-by-step explanation:

You have the following series:

[tex]2+\frac{4}{2^2}+\frac{8}{3^2}+\frac{16}{4^2}+...+\frac{2^n}{n^2}=\sum_{i=1}^{i=n}a_n[/tex]   (1)

You use the ratio test to determine if the series is convergent or divergent. The ratios test is given by:

[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_n}[/tex] (2)

Then, you replace the series (1) in (2):

[tex]\lim_{n \to \infty} \frac{\frac{2^{n+1}}{(n+1)^2}}{\frac{2^n}{n^2}}= \lim_{n \to \infty} \frac{(2^n2)(n^2)}{2^n(n+1)^2}\\\\\lim_{n \to \infty} \frac{2n^2}{n^2+2n+1}= \lim_{n \to \infty} \frac{2n^2}{n^2[1+\frac{2}{n}+\frac{1}{n^2}]} \\\\\lim_{n \to \infty} \frac{2}{1+\frac{2}{n}+\frac{1}{n^2}}=\frac{2}{1+0+0}=2[/tex]

In the ratio test you have that if the limit is greater than 1, the series diverges.

The result is 2 > 1. Hence, the series diverges.

I need help ples.
What is the volume of composite solid?

Answers

Answer:

58 13/32 ft. cubed

Step-by-step explanation:

Horizontal Shape: 6 x 5/2 x 7/4 = 26 1/4 ft.

Vertical Shape: 7/2 x 21/4 x 7/4 = 32 5/32 ft.

Total Volume: 26 1/4 + 32 5/32 = 58 13/32 ft. cubed

If this helped can I get brainliest :)

Two interior angles of a triangle each measure 34°. What is the measure of the third interior angle?
A. 146°
B. 292°
C. 56°
D. 112°

Answers

Answer:

D. 112

Step-by-step explanation:

Since we know that a triangle totals 180 degrees, we can easily figure out the third angle. Since each measure 34 degrees, simply multiply by 2. You get 68 degrees. Then you do 180-68 to get 112.

The sale price of a drum kit in the UK is 950 Pounds + VAT (Value Added Tax), where VAT is a sales tax of 20%. After some negotiation, the owner of the store agrees to give Bob a 12% discount on the drum kit. What is the total price that Bob pays, including VAT? Answer in Pounds and round your answer to the nearest pence (1 pence=1100Pound).


Note: VAT is a sales tax that gets calculated before a discount is applied.

Answers

Answer:

Step-by-step explanation:

Sale price = 950 pounds + vat

Vat = 20%

Value vat = 20/10 × 950 = 190 pounds.

Since the vat is calculated before a discount is applied, it means that the amount on which the discount was applied is

950 pounds

The value of the discount would be

12/100 × 950 = 114 pounds

The amount to be paid including vat is

(950 - 114) + 190 = 1026 pounds

Point L was plotted at (-4, 1), then L was transformed creating point L’ at (-1, -4).Which transformation rule could have been used to plot L’?
Reflection across the x-axis
a 180 degree rotation about the origin
A 270 degree rotation counterclockwise rotations about the origin
A translation using the rule (x,y) -->(x+3, y -5)

Answers

Answer:

you would go down 2 from the point

Step-by-step explanation:

hello!? what's 3 + 3

Answers

Answer:

6

Step-by-step explanation

Answer:

6

Step-by-step explanation:

if you have 3 apples and 3 banannas in all you have 6 fruits in total :)

3 bugs+ 3 ladybugs= 6 bugs

Hope this helps lol :)

What is experimental probability that this spinner lands on red?

Answers

Answer:

I think its 10

Step-by-step explanation:

Add all three then divide by three.

Answer:

There is a 20% of it landing on red

Step-by-step explanation:

add 6,9,15 to get 30 the 6/30=0.2 and multiply by 100

You can check you work by following the same process

please mark me as the brainliest

thank you

PLEASE HELP ME, I WILL GIVE U BRAINLIEST,

Answers

Answer:

around 9.8

Step-by-step explanation:

This is a right triangle, so to find x, you can use pythagorem theorem:

So...

23^2+x^2=25^2

529+x^2=625

x^2=96

x is around 9.8

Answer:

9.79 or 9.9

Step-by-step explanation:

Its around 9, estimation...

Find the median of the data.

8,8,6,8,4,5,6

Answers

Answer: The median is 6

Step-by-step explanation:

4 5 6 6 8 8 8

4 5 6 6 8 8 8

Please help me will give brainliest

Answers

Answer:

Mean = [26 + 31 + 39 + 32]/4 = 32

MAD = (1/4) x [|26 - 32| + |31 - 32| + |32 - 32| + |39 - 32|] = (1/4) x 14 = 3.5

Hope this helps!

:)

Answer:

3.5 putts

Step-by-step explanation:

Mean: 26 + 31 + 32 + 39 = 128/4 = 32

32 - 26 = 6

32 - 31 = 1

32 - 32 = 0

32 - 39 = 7

Mean Absolute Deviation (MAD): 6 + 1 + 0 + 7 = 14/4 = 3.5

~ hope this helps you, have a good day ~

5(7 + 3x) - 12 how to simplify​

Answers

To solve this we need to use this formula:

a(b+c)=ab+ac

5(7+3x)-12=35+15x-12=15x+23

Answer:

Step-by-step explanation:

Multiply the 5 to the 7 and 3x--> 35 + 15x -12. Then add 12 to the -12, making it 0 (inverse operations), and add 12 to the 35 making it 47 + 15x. :) Then you would simply divide the 15 by 15x (making the variable by itself). your answer for x should be 47/15. :> If I helped, please mark brainliest!!

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