juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x)=10(0.98)x to represent the amount of radioactive material that will remain after x hours in the container.

Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?

0.8 units
1.3 units
8.2 units
9.8 units

Answers

Answer 1

Answer:

8.2 units

Step-by-step explanation:

For radioactive decay, the amount should decrease over time. Given the function:

f(x) = 10(0.98[tex])^{x}[/tex]

We substitute the time of x = 10 hours:

f(10) =  10(0.98[tex])^{10}[/tex]

f(10) = 8.17

Round 8.17 to 8.2.

Therefore 8.2 units will remain after 10 hours.

Answer 2
He’s correct ^^ its 8.2 units

Related Questions

find the solution for -2.5x +5 < - 2.5 on a number line

Answers

Answer:

X>3

Step-by-step explanation:

-2.5x +5 < -2.5

-2.5x < -2.5-5

-2.5x< -7.5

X> -7.5/-2.5

X>3

You are making pudding for five friends. The recipe calls for 1/4 cup of sugar per serving. How much sugar do you need?

Answers

Answer:

1 1/4 cups I think..

Step-by-step explanation:

1/4 times 4 is 1, plus another 1/4 for the 5th friend is 1 1/4 cups.

Answer:

[tex]\frac{5}{4}[/tex] or [tex]1\frac{1}{4}[/tex] cups

Step-by-step explanation:

This question asks how much total sugar will be needed for 5 servings of 1/4 cup. In other words, this is asking for 1/4 cup to be added together 5 times. However, repeated addition is just multiplication, so this can become a multiplication problem. To do this make both terms a fraction by putting 5 over 1. This looks like: [tex]\frac{5}{1} *\frac{1}{4}[/tex]. Then, simply multiply the numerators together and the denominators together. This equals [tex]\frac{5}{4}[/tex]. If needed this can be put into the mixed fraction of [tex]1\frac{1}{4}[/tex] cups.

what is 8^100 / 8^50 is 8^50

Answers

Answer:

5000

Step-by-step explanation:

Evaluate [10/y + 13] -3, when y=5

Answers

Answer:

(10/y+13)-3

(10/5+13)-3

(2+13)-3

15-3

12

I hope this will help you

please can someone help me?

Answers

Answer:

∠ 3 = 90°

Step-by-step explanation:

∠ 3 and ∠ 4 are adjacent angles on a straight line and sum to 180° , then

∠ 3 + ∠ 4 = 180°

∠ 3 + 90° = 180° ( subtract 90° from both sides )

∠ 3 = 90°

3x – (7x + 2) > 5x + 4

Answers

Answer:

x < -2/3

Step-by-step explanation:

3x – (7x + 2) > 5x + 4= 3x -7x - 2 > 5x + 4= -4x - 2 > 5x + 4= -4x -5x > 4 + 2 = -9x > 6= x < -2/3

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

please help with number 9!!!

Answers

Answer:

2 + sqrt(3)

Step-by-step explanation:

Roots that contain square roots come in pairs

If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)

2 -sqrt(3) means there is a root 2 + sqrt(3)

Can someone help me with this question immediately with an explanation??!! Plsss

Answers

Answer:

the number of senors is 150

Step-by-step explanation:

call the number of seniors is a

we have number of juniors is 4/3a

number of sophomores is 3/2*4/3*a=2a

number of freshmen is also =2a

sum of all studens in that school = a+4/3a+4a=950

a=150

what is greatest to least? 39/12 109/36 75/24 10/3 19/6 (btw those are written in faction form)

Answers

Answer:

10/3, 39/12, 19/6, 75/24, 109/36

Step-by-step explanation:

Lets simplify:

10/3 = 3 1/3

39/12 = 3 3/12 = 3 1/4

19/6 = 3 1/6

75/24 = 3 3/24 = 3 1/8

109/36 = 3 1/36

8x square + 1 + 3square - 2​

Answers

Answer:

8x^2-1+3^2

Step-by-step explanation:

Is my answer correct?

Answers

I'm pretty sure you are :)

Yes your answer is correct because it is C

Name the postulate or theorem you can use to prove the triangles congruent

SSS
AAS
ASA
SAS

Answers

Answer:

ASA

Step-by-step explanation:

if you understood the other, similar questions now, this one is really, really easy.

we got the confirmation for 2 angles and the side between these angles.

so, angle side angle or ASA

SORRY HELP xx jdjskcksickkwskkdwkkcwo

Answers

Answer:

0

Step-by-step explanation:

zero is not a natural number,it is a whole number

Answer:

0

Step-by-step explanation:

Natural numbers are all positive whole numbers starting at 1 to infinity. So, 0 isn't a natural number.

How many hundred thousands 90 ten thousands


pls hurry

Answers

Answer:

0.9

Step-by-step explanation:

100,000 in 90,000

Select the best answer to describe the parabola

Answers

Answer:

B

Step-by-step explanation:

It opens downwards, so the parabola is negative. This also means the vertex of the parabola is the highest point, therefore it is a maximum.

what is (-5x-3y) - (-x-3z)

Answers

Answer:

-4x-3y+3z

Step-by-step explanation:

(-5x-3y)-(-x-3z)

-5x+x-3y+3z

-4x-3y+3z

I WILL GIVE BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

(f(-3+h)-f(-3))/h=(5(-3+h)^2-5(-3)^2)/h=(5*(-3+h-3)(-3+h+3))/h=-30*h/h=-30

From the diagram below, you can say that the two triangles are
Select one:
Congruent by SAS
Not Congruent
Congruent by HL
Congruent ASA

Answers

Answer:

C

Step-by-step explanation:

As the legs and hypotenuse are same, these triangles are congruent by HL congruency

Surface area of triangular prism

Answers

Answer:

264 Km²

Step-by-step explanation:

cross sectional perimeter of the triangular prism= 9+8+7= 24Km

now,

total surface area= C.S.P × height of the figure

= 24 × 11

= 264 km²

Which equation is equivalent to -2(2 − 2x) = 4 − 8(1 − x)?

Answers

Answer:

x = 0

Step-by-step explanation:

-2(2 − 2x) = 4 − 8(1 − x)

Apply the distributive property:

−2(2 − 2x) = 4 − 8(1 − x)

(−2)(2) + (−2)(−2x) = 4 + (−8)(1) + (−8)(−x)

−4 + 4x = 4 + (−8) + 8x

Combine like terms:

4x − 4 = (8x) + (4+−8)

4x − 4 = 8x + (−4)

4x − 4 = 8x − 4

Subtract 8x from both sides:

4x − 4 − 8x = 8x − 4 − 8x

−4x − 4 = −4

Add 4 to both sides:

−4x − 4 + 4= −4 + 4

−4x = 0

Divide both sides by -4:

-4x/-4 = 0/-4

x = 0

Answer: 0

Step-by-step explanation:

Please help quick! ASAP please!

Answers

Answer:

11.55

Step-by-step explanation:

Brainlest If Correct and i rlly need the help.

Answers

Answer:

scale factor= /2

Step-by-step explanation:

The scale factor is 1/2, which is equivalent to 0.5

Which of the following steps were applied to ABC obtain AA'B'C?
12
8
B
6
A
-6
-2
4
6
10
A. Shifted 4 units left and 3 units down
B. Shifted 4 units left and 2 units down
C. Shifted 3 units left and 3 units down
D. Shifted 3 units left and 2 units down
Will give brainliest pls help!!!​

Answers

Answer: B

Step-by-step explanation:

The transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.

What is transformation?

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, a triangle ABC has undergone a transformation to form A'B'C' we need to identify the steps of transformation

So, considering the point B and B', we see, that, x-coordinate of B is at 5 and that of B' is at 1, that mean there is a shift of 4 units left,

Now, consider the y-coordinate, we see, that B is at 9 and B' is at 7 that gives a downward shifting of 2 units.

Hence, the transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.

Learn more about transformation click;

https://brainly.com/question/11709244

#SPJ7

In a sequence, the first term is 8 and the common difference is -2. The 18th term
of this sequence is
1) – 34
2) - 42
3) - 26
4) 26

Answers

If 8 is the first term, there are 17 terms left to reach the 18th term. So you do -2 x 17 = -34 then do 8 - 34 = -26

please i need your help ​

Answers

Answer:

x is 11

Step-by-step explanation:

[tex]{ \tt{10 + 5 + x = 26}} \\ x = 11[/tex]

Stella has five times as many books as Tina. If Stella gave 16 books to Tina, they would each have the same number of books. How many books does Stella have? ​

Answers

Answer:

40 books

Step-by-step explanation:

s = Stella's books

t = Tina's books

Given:

s = 5t

s - 16 = t + 16

Plug first equation into second:

5t - 16 = t + 16

4t = 32

t = 8 books

s = 5t = 40 books

((Check: 40 - 16 = 24 = 8 + 16 ✔ ))

Which inequality is represented by the graph?

Y>-2/3x+1
Y<-2/3x+1
Y<-3/2x+1
Y>-3/2x+1

Answers

Answer:

Last option, y > -3/2x+1

That's the answer you're looking for

Expand the following
(x+2x)(2s-2t)
(m-n)²
(k+9)²
(4a-3b)(c+6d)​

Answers

please check the attachment for solutions

A plane took off at a point that is 42 meters from the control tower. The flight path takes the plane over the control tower that is 98 meters high. After traveling 83 meters, which statement is most accurate?

Answers

Answer:

D). The plane needs to be about 27 meters higher to clear the tower.

Step-by-step explanation:

Given that,

Height of the tower = 98 m

Distance traveled by plane = 83 m

The distance of the take-off point from the tower = 42m

This shows that it forms a right-angled triangle with

Base(B) = 42m

Hypotenuse(H) = 83m

To find,

The height of this triangle(x) = ?

Using Pythagoras theorem, we know that,

B^2 + x^2 = H^2

⇒ x^2 = H^2 - B^2

⇒ x^2 = (83)^2 - (42)^2

⇒ x^2 = 6889 - 1764

⇒ x = [tex]\sqrt{6889 - 1764}[/tex]

∵ x = 71.58 m

Thus, the height difference from the position of the plane to the tower = 98 - 71.58

= 26.42 m

Thus, option D i.e. 'the plane's height must be 27m above the tower' is the correct answer.

help pls I need answer to question (e)​

Answers

Answer:

I assume you'd already figured out the other questions so you just don't understand the question E

Step-by-step explanation:

The product of the first 2 numbers its stating is -28 and 48, and it's asking if the product (multiply -28 by 48 to get the product) is equal to the HCF and LCM you got in the previous answer.

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