Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function
f(x)=10(0.98) 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?
O 0.8 units
O 1.3 units
O 8.2 units
O 9.8 units

Answers

Answer 1

Answer:

Correct option: Third one -> 8.2 units

Step-by-step explanation:

Assuming that the function that models the amount of radioactive material remaining after x hours is:

f(x)=10*(0.98)^x

To find the amount of material after 10 hours, we just need to use x = 10 in the equation and find the value of f(x):

f(10) = 10*(0.98)^10

f(10) = 8.1707

Rounding to nearest tenth, we have f(10) = 8.2

Correct option: Third one

Answer 2

Answer:

correct answer is C 8.2 units

Step-by-step explanation:

hope this helps!


Related Questions

NEED HELP ASAP - 35 Pts. + BRAINLIEST for the best answer!!! (Please show your work)

Question:
You are designing a pendulum clock to have a period of 8.0 s. How long should the pendulum be?

Answers

Answer:

2 m.

Step-by-step explanation:

T = 8.0 s is the period of the pendulum

g = 9.81 m/s^2 is the acceleration due to gravity

Consider the equation x 5 − 2 = 11. Each of these values might be the solution to this equation. Verify the correct solution by substituting each value into the equation. Which is the correct solution?

Answers

Answer:

x = 65

Step-by-step explanation:

Complete question is:

Which is the correct solution?

x = 1.8

x = 2.6

x = 45

x = 65

SOLUTION:

The given equation is : [tex]\frac{x}{5}-2=11[/tex]

Substituting all the values of 'x' one by one

 

-> For  x = 1.8  : [tex]\frac{1.8}{5}-2=11[/tex]

-1.64≠11

-> For x = 2.6 : [tex]\frac{2.6}{5}-2=11[/tex]

-1.48≠11

-> For x = 45 : [tex]\frac{45}{5}-2=11[/tex]

7≠11

-> For x = 65 : [tex]\frac{65}{5}-2=11[/tex]

11=11

Therefore, by substituting x in every equation, x = 65

Answer:

Substitute 7 for a.

Simplify the equation after substituting the value for a.

Verify that a = 7 is correct when the result is a true statement.

Step-by-step explanation:

Here, the given equation is,,

And, after solving it the result is,

a = 7

We can check whether a result is the solution of an equation by substituting the result in the given equation.

If we get a true statement, then the result is the solution of the equation.

Thus, for verifying the solution, steps are as follow,

Step 1 : Substitute 7 ,

-9(7-5) = -18

Step 2 : Simplify the equation after substituting the value of a  

-9(2) = -18    

Step 3 : Verify that a = 7 is correct when the result is a true statement.

-18 = -18      

Bailey jog 3 km to her friends house from her friends house she jog 250m in all going to and from the park, then she jogged back home . How many meters did Bailey jogged in all

Answers

Answer:

The total distance is  [tex]d_T = 6250 \ m[/tex]

Step-by-step explanation:

From the question we are told that

     The distance from bailey start point to her friends house is  [tex]d = 3 \ km = 3*1000 = 3000 \ m[/tex]

       The distance covered going to and from the park is [tex]d_2 = 250 m[/tex]

       

The total distance covered is mathematically evaluated as

         [tex]d_T = (2 * d_1) + d_2[/tex]

Substituting values

          [tex]d_T = (2 * 3000) + 250[/tex]

          [tex]d_T = 6250 \ m[/tex]

bc i have to ask a productive question what is ROYGBIV?

Answers

Answer:

you thicc????

Step-by-step explanation:

*****WILL MARK BRAINLIEST****** help me please 0_o

Answers

Answer: A degree

Step-by-step explanation:

Answer:

I also think it is a degree like the other guy

Step-by-step explanation:

Box 2:
length • width • height = (4x-1)•x•x^3
volume = 4x^5-x^4
Degree of length:
Degree of width:
Degree of height:
Degree of volume:

Answers

Degree of length=1

Degree of width=1

Degree of height=3

Degree of volume=5

The [SUM] of the degree of each factor is the degree of the product

Why does this make sense Answer is C

Since a linear function has a degree of 1, hence the degree of the length, width and height is 1. The degree of the volume is 3

Degree of a polynomial

The degree of an equation is the power of the leading variable.

Given the following measures

length = 4x - 1

width = x

height = x -3

Since a linear function has a degree of 1, hence the degree of the length, width and height is 1. The degree of the volume is 3

Learn more on degree of a function here: https://brainly.com/question/1600696

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If every vertex of a regular octagon is connected to every other vertex, How many triangles are formed in total?

Answers

Answer: 8 triangles

Step-by-step explanation:

If you connect lines from the middle vertex to the outside vertices you will see that the octagon can be "cut up" into 8 even triangles

solve for x
4(2x-1)= 3x-19

Answers

X=-3
This is the answer

Answer:

x = -3

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 4 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

4 ( 2x - 1 ) = 3x - 19

→ Expand the brackets

8x - 4 = 3x - 19

→ Minus 3x from both sides to isolate -19 and bring all the x coefficients to one side

5x - 4 = -19

→ Add -4 to both sides to isolate 5x

5x = -15

→ Divide both sides by 5 to isolate x and therefore find the value of x

x = -3

→ We can substitute x = -3 back into 4 ( 2x - 1 ) = 3x - 19 to see if we have the correct solution, if we end with the same number on both sides then  x = -3 is correct.

4 ( 2x - 1 ) = 3x - 19

8x - 4 = 3x - 19

( 8 × -3 ) - 4 = ( 3 × -3 ) - 19

-24 - 4 = - 9 - 19

-28 = -28

So x = -3 is correct

What is the slope of the line through (-9,-6) and (3,-9)

Answers

Answer:

-0.25 or -1/4

Step-by-step explanation:

Remember slope is : change in y's over change in X's

What method can you use to find the area of the composite figure? Select three options.
A large rectangle. A smaller rectangle is connected on the right side.
Decompose the figure into two rectangles and add the areas.
Decompose the figure into three rectangles and add the areas.
Extend the top and rightmost sides to make a larger rectangle, find its area, and then subtract the area of the removed corner.
Decompose the figure into two rectangles, find their sum, and then add the area of the removed corner.
Decompose the figure into two rectangles, find their sum, and then subtract the area of the removed corner.

Answers

Answer:

a)Decompose the figure into two rectangles and add the areas.

Step-by-step explanation:

i did the unit test and got a 100 and also the two areas would added together would equal the area through the entire figure hopes this helps;)

Answer:

A. B. C. Are all the correct shapes.

Step-by-step explanation:

I need help with this ONE question!
(-1)(-fg)(-xy)

Answers

Answer:

fgxy

Step-by-step explanation:

(-1)(-fg)(-xy)

(1fg)(-xy)

-1fgxy

fgxy





















































Item 14
Question 1
REASONING The data sets show the years of the coins in two collections.

Your collection: 1950, 1952, 1908, 1902, 1955, 1954, 1901, 1910

Your friend’s collection: 1929, 1935, 1928, 1930, 1925, 1932, 1933, 1920

Compare the measures of center and the measures of variation for each data set.

Your collection's mean is
. Your collection's median is
. Your collection's range is
. Your collection's interquartile range is
. Your collection's mean absolute deviation is
.

Your friend's collection's mean is
. Your friend's collection's median is
. Your friend's collection's range is
. Your friend's collection's interquartile range is
. Your friend's collection's mean absolute deviation is
.

Answers

Your collection's mean answers

median - 1930

range - 54

interquartile range - 50

mean absolute devitation - 23.75

Your friends collection mean answers

median - 1929.5

range - 15

interquartile range - 7

mean absolute devitation - 3.5

Would really appreciate a brainliest!!

help meeeeeee plzzz​

Answers

Answer:

The mode is 4 and the median is 5.4     read the explantion :DDD

Step-by-step explanation:

It super easy but u get there for the mode you have to put it least to greatest and the find the one that occurs the most and for the median u have to add all the number up and divid it by how many numbers they are like 5+7+3+8+4 is 27 divied by 5 is 5.4 i hope i help you :DDDD u need to know and understand it.

Given that events A and B are independent with P(A) = 0.65 and
P(A n B) = 0.52, determine the value of P(B), rounding to the nearest
thousandth, if necessary.

Answers

Answer:

0.80

Step-by-step explanation:

For independent events:

P(A and B) = P(A) P(B)

0.52 = 0.65 P(B)

P(B) = 0.80

Susie has $95 to spend on renting snorkeling gear at the beach. There is a $15 flat service fee to rent the snorkeling gear along with an $8 charge for each hour the gear is used. The inequality that can be used to find the number of hours Susie can rent the snorkeling gear is 15 + 8h ≤ 95. Calculate the maximum number of hours Susie can rent the snorkeling gear.

Answers

Answer:

10 hours

Step-by-step explanation:

We can actually solve this problem simply as if it were an equation instead of an inequality. We have:

15 + 8h ≤ 95

Subtract 15 from both sides:

8h ≤ 95 - 15

8h ≤ 80

Divide by 8 from both sides:

h ≤ 80/8

h ≤ 10

So, the number of hours cannot exceed 10, which means the maximum number of hours Susie can rent is 10 hours.

Answer:

the answer is attached to the picture

what is the area
what is the perimeter

Please answer Quickly ​

Answers

Answer:

34 cm; 48 cm^2

Step-by-step explanation:

5+5+12+12=10+24=34

12(4)=48

The sum of the interior angles of a polygon is 8280°.
How many sides does the polygon have?

Answers

the side will = to 48

The equation to find the sum of interior angles of a n-sided polygon is:

(n - 2) * 180

So, we don't know what n is but we can make it look like this:

(n - 2) * 180 = 8,280

Solve for n.

(n - 2) * 180 = 8,280

~Divide 180 to both sides

(n - 2) * 180/180 = 8,280/180

~Simplify

n - 2 = 46

~Add 2 to both sides

n - 2 + 2 = 46 + 2

~Simplify

n = 48

Therefore, the polygon has 48 sides.

Best of Luck!

What is the answer a,b,c or d?

Answers

Answer:

.6

Step-by-step explanation:

Tangent means opposite side divided by adjacent side

tan B = AC /BC

tan B = 9 / 15

tan B  = .6

A cylinder has a radius of 3 inches and a height of 6imches .What is the volume?

Answers

Answer:

-The volume of a cylinder can be either:

In terms of pi: [tex]54\pi[/tex]

             or

Using 3.14 for pi: [tex]169.646[/tex] [tex]in^3[/tex]

Step-by-step explanation:

Use the formula for the volume of a cylinder and use the given radius and height for the formula:

[tex]V = \pi r^2 h[/tex]

[tex]V = \pi 3^26[/tex]

Then, solve the formula:

[tex]V = \pi \times 3^2 \times 6[/tex]

[tex]V = \pi \times 9 \times 6[/tex]

[tex]V = \pi \times 54[/tex]

[tex]V = 54\pi \approx 169.646[/tex]

-So, the answers would be:

In terms of pi: [tex]54\pi[/tex]

          or

Using 3.14 for pi: [tex]169.646[/tex] [tex]in^3[/tex]

Answer:

169.65 inches^2

Step-by-step explanation:

Volume of a cylinder

V = pi x r^2 x h

pi x 3^2 x 6

≈ 169.65

What is the value of y if f(x)=-3?

Answers

f(3)=5. Explanation: substitute the value of 3 given.

what is 15,472 rounded to the nearest thousand

Answers

Answer:

15,000

Step-by-step explanation:

You can't round it upwards, so it remains the same.

It would just be 15,000 right?  

Step-by-step explanation: Because if its in the thousands place the 4 is less than the 7

the formula for the area of a sector with a central angle in radians is?

Answers

Answer:  [tex]\dfrac{\theta }{2\pi }\times A[/tex]

Step-by-step explanation:

Given

If the central angle is [tex]\theta [/tex] (Let's say)

Area of sector is given by (in radians)[tex]=\dfrac{\theta }{2\pi }\times A[/tex]

Where A=Area of circle

where [tex]2\pi[/tex] represent [tex]360^{\circ}[/tex]

Mr Altman class recycled 72 water bottles in march. The Numbers of juice was 1/4 One Fourth times as many. What is the total number of water bottles and juice cans they recycled in march?

Answers

Answer:

The answer is 90 altogether.

Step-by-step explanation:

1/4 of 72 or 0.25x72 is 18. When you add 72 water bottles with the juice you get 90 altogether.

find the area of each sector. Use a 3.4 as the value of pi. Round your answer to the nearest tenth. Label unit.​ part 2

Answers

Answer:

153.9 m² (nearest tenth)

Step-by-step explanation:

When the angle is measured in degrees, the formula of the area of sector is:

[tex] \frac{θ°}{360°} \times \pi {r}^{2} [/tex]

Given: r= 14m, θ= 90

Area of sector

[tex] = \frac{90°}{360°} \times 3.14 \times {14}^{2} \\ = 153.86 \\ = 153.9 \: m^{2} \\ (nearest \: tenth)[/tex]

Any help is appreciated

Answers

Answer:

<KMN=5°

Step-by-step explanation:

<K+<L=<KMN

81+4x=13x+36

81-36=13x-4x

45=9x(divide both sides by 9)

x=5°=<KMN

stuck on this please help

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

1.

You can use the sine rule

a / sinA = b / sinB

Substitute the values in:

15 / sin112 = b / sin33

Multiply both sides by sin(33) to get b by itself

b = (15 / sin112) x sin33

Calculate this to get your answer of:

BC = 8.8 cm

2.

You can also use the sine rule here

sinA / a = sinB / b

Sub your values in:

sin84 / 32.4 = sin(y) / 21

Multiply both sides by 21 to isolate sin(y)

(sin84 / 32.4) x 21 = sin(y)

Calculate sin(y)

sin(y) = 0.6445975248

You now need to sin-1 this value to get u:

y = 40.13550596

To 1d.p, y = 40.1 degrees

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

^^^ the following answer is 100 correct they answered before me so I just reviewed it

Which of the following equations have exactly one solution?

Choose all answers that apply:


A -13x+12=13x+13

B 12x+12=13x+12

C -13x+12=13x-13

D 12x+12=13x-12
Please answer ASAP

Answers

Step-by-step explanation:

A

-13x + 12 = 13x + 13

-13x - 13x = 13 - 12

-29x = 1

x = [tex] \frac{-29}{1} [/tex]

x = -1

B

12x + 12 = 13x + 12

12x - 13x = 12 - 12

-x = 0

C

-13x + 12 = 13x - 13

-13x - 13x = -13 - 12

-x = -25

x = 25

D

12x + 12 = 13x - 12

12x - 13x = -12 - 12

-x = -24

x = 24

Could the answer be A?

Because here I found the solution of equations A, C, and D.

Whereas the questions must choose the one that has a solution.

#CMIIW ^^

All the expression given in the option has one solution for variable x.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Solve all the equations for the value of variable x,

Option A:-

-13x + 12 = 13x + 13

-13x - 13x = 13 - 12

-29x = 1

x = -1 / 29

Option  B:-

12x + 12 = 13x + 12

12x - 13x = 12 - 12

-x = 0

Option C:-

-13x + 12 = 13x - 13

-13x - 13x = -13 - 12

-x = -25

x = 25

Option  D:-

12x + 12 = 13x - 12

12x - 13x = -12 - 12

-x = -24

x = 24

To know more about an expression follow

https://brainly.com/question/13162032

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Using the simple interest formula I = PRT, calculate the interest that would be earned.

Principal = $1000

Rate = 6%

Time = 2 years


$12

$120

$1200

$12000

Answers

SI = P × R × T

SI = 1000 × 6/100 × 2 = $120

PLEASE HELP ME 40 POINTS

Answers

Answer:

see below

Step-by-step explanation:

A: radius of 12 ft

    Changing to meter

 12 ft * .305 m/ ft =3.66 meter

The radius is 3.66 meters

The diameter is twice the radius = 2*3.66 =7.32 meters

The circumference is

C = pi*d = 3.14 * 7.32 =22.9848 = 22.98 meters

B diameter is 7.5 meters

Pool B has a bigger diameter

C = pi * d = 3.14 * 7.5m = 23.55 meters

The difference is .57 meters

Answer:

7.32

B

Larger/greater

0.57

Step-by-step explanation:

Diameter = 2 × radius

= 2 × 12 = 24 feet

24 × 0.305 = 7.32 meters

7.5 > 7.32

So the diameter of pool B is greater

Difference in circumferences:

(3.14 × 7.5) - (3.14 × 7.32)

23.55 - 22.98

0.57 meters

6(a)If the gradient of the straight line
ky = kx + x + 7 is 2,
find: (i) the value of k,
(ii) the y-intercept.
Vine​

Answers

Answer:

(i) k =1

(ii) y-intercept is 7

Step-by-step explanation:

Given line:

ky = kx + x + 7

Divide all terms by k to get slope-intercept form of the line

y = (1 + 1/k)x + 7/k

Since the gradient (slope) of the line is 2:

1 + 1/k = 21/k = 1k = 1

The equation is now:

y = 2x + 7

y - intercept is found when x = 0

x = 0 ⇒ y = 2*0 + 7 y = 7

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