After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 1992​, the hay in that country was contaminated by a radioactive isotope​ (half-life 5 ​days). If it is safe to feed the hay to cows when 11​% of the radioactive isotope​ remains, how long did the farmers need to wait to use this​ hay?

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

1. 4

3x–1 = 8

x+1

2. 3

2x–1 = 20

3. log7

(5x + 3) = 3

4. log(3x + 1) – log 4 = 2

5. log4

(x – 1) + log4

(3x – 1) = 2

x ≈ 1.86

x = 68

x = 133

x = 3

x =

5

3

Answer 2

Answer:

The farmer needs to wait at least 17 days or more for radioactive material to dissipate down to 11%.

Step-by-step explanation:

Hope this helps. . . <3


Related Questions

Market researchers were interested in the relationship between the number of pieces in a building-brick set and the cost of the set. The researchers collected information from a survey and used it to obtain the regression equation y = 0.08x + 1.20, where x represents the number of pieces in a set and y is the predicted price (in dollars) of the set. What is the predicted price of a set that has 2,520 pieces?

A. $202.80
B. $2,017.20
C. $3,024.08
D. $31,485

Answers

Answer:

A. $202.80 EDGE

Step-by-step explanation:

The predicted price of a set that has 2,520 pieces is $202.8.

The correct option is (A).

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

y = 0.08x + 1.20

where x represents the number of pieces in a set and y is the predicted price.

So, for x= 2520 pieces the predicted price is

y= 0.08(2520)+ 1.20

y= 201.6 + 1.5

y= $202.80

Hence, the predicted price is $202.8.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ2

Point D is the centroid of △ABC. Use the given information to find the value of x.
BD=4x+5 and BF=9x

x=

Answers

Based on the centroid theorem, the value of x is: 2.5.

What is the Centroid Theorem?

The centroid theorem states that, the centroid of a triangle equals two-third of the distance from each midpoint of a triangle to each vertex.

Given:

BD = 4x + 5

BF = 9x

Thus:

BD = 2/3(BF)

Substitute

4x + 5 = 2/3(9x)

4x + 5 = 6x

4x - 6x = -5

-2x = -5

x = 5/2

x = 2.5

Therefore, based on the centroid theorem, the value of x is: 2.5.

Learn more about centroid theorem on:

https://brainly.com/question/20627009

Lorreen sells 18 adult tickets, 23 student tickets, and 10 discount tickets for the school play. Write the ratio student tickets to adult tickets in three ways.

Answers

Answer:

23:18,23 to 18,23/18

Step-by-step explanation:

the three ways to write a ratio are colon,the word to, and the divide symbol .

ten times the reciprocal of a number equals 5 times the reciprocal of 3

Answers

The reciprocal of a whole number is a fraction with the whole number as the denominator.

Set up the equation:

10 * 1/x = 5 * 1/3

Simplify:

10/x = 5/3

Multiply both sides by 3:

30/x = 5

multiply both sides by x:

30 = 5x

Divide both sides by 5:

x = 6

Answer: 6

solve pls brainliest

Answers

a

distance is -8

b

-7 - 1 = -8

1 - (-7) = 8

c

l-7 - 1l = 8

l 1 - (-7)l = 8

hope this helps

Evaluate the formula z=
p−p
pq
n when p=
537
1851​, n=1851​, p=0.30​, and q=1−p

Answers

Answer:  -0.93

Work Shown:

[tex]z = \frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}\\\\\\z = \frac{\frac{537}{1851}-0.30}{\sqrt{\frac{0.30*(1-0.30)}{1851}}}\\\\\\z \approx \frac{0.290113-0.30}{\sqrt{\frac{0.21}{1851}}}\\\\\\z \approx \frac{-0.009887}{\sqrt{0.000113}}\\\\\\z \approx \frac{-0.009887}{0.010630}\\\\\\z \approx -0.93010348071496\\\\\\z \approx -0.93\\\\\\[/tex]

what is the value of X and what is the value of Y


PLEASE HURRY

Answers

The triangle that does not have the y angle, equate all of its angles to 180 degrees and solve for x. Once you solve for x, substitute that value to the angles in the other triangle, and then add them all up and equate it to 180 degrees to solve for y.

PLS helppppppppppppp

Answers

Answer:

y=-5, x=-1

Step-by-step explanation:

y=5x

/5 /5

y/5=x

y=9(y/5)+4

y=-5

-5=5x

/5   /5

-1=x

tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% B 20% C 65% and D 80% pls help
the book is think up

Answers

Answer:

your so funny for a annoying kid

Step-by-step explanation:

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed the magazine on sale for 50% off. What was the discount price?

what is 19 divided by $25.65 ​

Answers

Answer: $20.78

Step-by-step explanation:

WILL MARK BRAINLY
The graph of g(x)=x^2+2x is translated by 4 units to the left. which of the following gives the equation of the new graph?
x^2 + 10x + 24
x^2 + 2x + 4
x^2 + 2x - 4
x^2 - 6x + 8

Answers

Answer:

X^2 + 10x +24

Step-by-step explanation:

I hope this helps!

DOES ANYONE KNOW HOW TO DO THIS? DUE AT 11 TONIGHT PLS HELP!

High demand cars that are also in low supply tend to retain their value better than other cars. The data in the table are for a car that won a resale value award.

Enter a function to represent the car's value over time, assuming that the car's value is linear for the first 5 years.


According to your model, how much did the car's value drop the day it was purchased and driven off the lot?




Do you think the linear model would still be useful after 10 years? Explain.


uppose you used months instead of years to write a function. How would your model change

Answers

Answer:

No because its -10 per year so after 10 years the car value will go below zero which makes it useless

Step-by-step explanation:

Step-by-step explanation:

Given the table of values where it represents the relationship between the change in value of a car and number of years.

Slope:

Before we can establish the linear equation, we need to determine its slope by using two ordered pairs from the table.  

Let (x₁, y₁) = (1, 84)

     (x₂, y₂) = (3, 64)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (64 - 84)/(3 - 1)

m = -20/2

m = -10

Therefore, the slope of the linear function is -10.

1. Enter a function to represent the car's value over time, assuming that the car's value is linear for the first 5 years.

Assuming that the car's depreciation in value is linear for the first 5 years, then we can establish the following function:

Next, using one of the given ordered pairs from the table, (1, 84), and the slope, m = -10, substitute these values into the slope-intercept form to solve for the value of the car at x = 0 (the y-intercept, b ):    

84 = -10(1) + b

84 = -10 + b

Add 10 to both sides to isolate b:

84 + 10 = -10 + 10 + b

94 = b

Therefore, the linear function is f(x) = -10x + 94.

To verify whether this is the correct function to represent the given linear model, substitute the values for year 5, where the car's value is at 44%:

f(5) = -10(5) + 94

f(5) = -50 + 94

f(5) = 44  ⇒ This matches the value from the given table, where it implies that at year 5, the value of the car is 44%.           

2. According to your model, how much did the car's value drop the day it was purchased and driven off the lot?

Since the car's value is expressed in percentage (%), then it means that at year = 0, the car's value is 100%.  The value of the car in year 1 is 84%.

Therefore, the car's value will decrease by 16% from the day it was purchased (at year = 0) through year 1.    

To determine the value of the car the day it was purchased and driven off the lot:

Let x = 1 out of 365 days = 1/365 = 0.0027

f(0.0027) = -10(0.0027) + 94

f(0.0027) = -10(0.0027) + 94

f(0.0027) = -0.027 + 94

f(0.0027) = 93.973

The car's value at Day 1 is 93.97%, which means that it decreased by 6%.              

3. Do you think the linear model would still be useful after 10 years? Explain.

In order to determine whether the linear model would still be useful after 10 years, let x = 10:

f(x) = -10x + 94

f(10) = -10(10) + 94

f(10) = -100 + 94

f(10) = -100 + 94

f(10) = -6

The value of the car by the 10th year will be -6%, implying that it is no longer useful by year 10.  The linear model is only useful up to the 9th year:

f(9) = -10(9) + 94

f(9) = -90 + 94

f(9) = 4 ⇒ The car's value by the 9th year is 4%.

4. Suppose you used months instead of years to write a function. How would your model change?

Since in the original function, x represents the number of years, and there are 12 months in a year:

Let 12x = 12 months × 1 year

Substitute 12x as an input into the original function:

f(x) = -10x + 94

f(x) = -10(12x) + 94

f(x) = -120x + 94 ⇒ This represents the function that models linear relationship between the percentage value of a car relative to the number of months that the car is driven.

The value of y is directly proportional to x.

Find the constant of proportionality when x = 12 and y = 3.

Answers

Step-by-step explanation:

x=12

y=3

where k is a constant

k=12

=3

cross multiply

3k=x(when x is 12)

where k is a constant

Write an equation of the line in slope-intercept form.



The equation is y=
.

Answers

Answer:

y = x + 2

Step-by-step explanation:

     Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. Here, b is equal to 2 because the line crosses the y-axis at 2. THe slope is rise over run, or the change in y divided by the change in x. From the two points given, we get 3/3 which is equal to 1. 1x equals x, so this gives us "no slope." Putting it together gives us y = x + 2.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5) Simone was solving an equation with the variable b. When she solved the equation
she found that the equation had infinitely many solutions, which equation could be
Simone's equation after the solved it?
a. b-2
b. -2=-2
C.-2--1
D. B=0

6) The graph shows that the amount of water in gallons
that has leaked out of a tank depends on the number
of minutes that have passed.
What is the unit rate of the leaking water?
a. 3 gallons per minute
b. 6 gallons per minute
c. 1 gallon per minute
d. 3/4 gallon per minute






Answers

Answer:

5) b

6) d

Step-by-step explanation:

F(1)=2, f(n)= f(n-1)+7

Plsss help

Answers

Answer:

6

5

2

3

1

4

5

6

7

8

9

10

11

12

13

15

16

17

18

19

20

Part A: The area of a square is (4x2 + 20x + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (4x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

Step-by-step explanation:

4x² + 20x + 25 = (2x)² + 2* 2x *5 + 5²

{Compare with a² + 2ab + b² = (a+ b)²}

                         = (2x + 5)²

                         = (2x +5)*(2x+5)

Side of the square = 2x+ 5

Answer:

Part A is (2x+5)^2. Part B is  (2x+3y)(2x-3y).

Step-by-step explanation:

Part A: The polynomial is prime. When you split the middle term, it becomes 4x^2+10x+10x+25. Then rewrite using the common factor from the two pairs. 2x(2x+5)+5(2x+5). Rewrite in factored form, which is (2x+5)(2x+5). Then combine which is, (2x+5)^2. The length of each side is (2x+5)^2.

Part B: The polynomial is prime. Rewrite 4x^2 as (2x)^2 and 9y^2 as (3y)^2, which looks like (2x)^2-(3y)^2. Both terms are perfect squares. The answer is (2x+3y)(2x-3y).

Help please! !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is -16(t-2)(t+1)

Step-by-step explanation:

what does 130°30' mean

Answers

130 degrees and 30 minutes

That's minutes as in arc-minutes, a sub-division of a degree. 1 degree is made up of 60 minutes.

So 130°30' is the same as 130° + 30/60° = 130.5°.

If y = ax² + bx + c is the general form of a quadratic function, what is y = a(x - h)² + k? *
a. vertex form
b. general equation
c. point-slope form
d. slope-intercept form

How necessary is the value of a, b and c in transforming quadratic function from general to vertex form? *
a. to find the value of h and k
b. to find the number of roots
c. to determine the degree of the quadratic function
d. to determine the maximum point​

Answers

Step-by-step explanation:

it is the vertex form.

remember, (h, k) is the vertex point.

the vertex being the point of the (quadratic) parabola, where the curve turns around.

depending on the orientation of the parabola (vertex up or vertex down) as defined by the sign of a, this is either the minimum or the maximum of the curve.

so, the first a. is correct.

and so is the second a., as they play an important role when completing the square and hence finishing the transformation.

What is the value of x?

Answers

400 I think but I’m wrong I don’t give answers to stranger gurl xx

Answer:

I think its is 7 cm hope this helped (◡‿◡< 3) .

Step-by-step explanation:

What is the value of x?

5.3h + 3 = 18.8

A. 2.98
B. 4.11
C. -4.11
D. -2.98​

Answers

Answer:

If you're trying to find h, then the answer is A.

Step-by-step explanation:

5.3 x 2.98 = 15.79, which rounds up to 15.8.

15.8 + 3 = 18.8

Answer:

A. 2.98

Step-by-step explanation:

When you substitute h for the answers shown, you get different numbers.

When you substitute h for 2.98 you are given 15.794

15.794 + 3 is 18.794

Rounding 18.794 to the next tenth is 18.8

Answer: A. 2.98

help me now right now because i ran out of skips

Answers

Answer:

no question

Step-by-step explanation:

sorry I cant help there's no question

Answer:

Help with what?

Step-by-step explanation:

There is no question.

A 250-foot length of fence is placed around a three-sided animal pen.
Two of the sides of the pen are 100 feet long each. Does the fence
form a right triangle? Prove that your answer is correct.

Answers

Step-by-step explanation:

no it does not form a right triangle. 

 

a+b+c = 250

 

1002 + 502 does not equal 1002

nor 1002 + 1002  does not equal 502

 

so therefore the sides are 100, 100, and 50 but these do not make a right triangle

Can someone help me

Answers

Answer:

Step-by-step explanation:

1/4 : 2 * 1/4 = 6 : x

0.25 : 2/4 = 6 : x

0.25 : 1/2 = 6 : x

0.25 : 0.5 = 6 : x

0.5 = 6 : x

x = 6 : 0.5

x = 12

PLEASE PLEASE ANSWER

Answers

Answer:

Step-by-step explanation:

So the sum of 128 and x+10 is on a straight line which is 180º right?, so:

x + 10 + 128 = 180

x = 180 - 128 - 10

x = 42º

Answer:

42

Step-by-step explanation:

x +10 +128 = 180   {Linear pair}

x  + 138 = 180

x = 180 - 138

x = 42

20% tip on a bill of $111.82​

Answers

Answer: about 22.364 or 22.365, I depends on how you to round it

Step-by-step explanation: 0.2*111.82

Answer:

22.364

Step-by-step explanation:

11.82x0.2=22.364

What is 1 3 fourths x 8?

Answers

Answer:

14

Step-by-step explanation:

1 3 fourths is 7/4

(7/4)*8

4 cancels out with 8

2*7=14

1 3 fourths = 1 3/4 = 7/4

=》 7/4 × 8 (cancel out 4 & 8)

=》 7 × 2 (multiply them)

=》 14

____

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Triangles ABD and XYZ are similar .Find the length of the segment XZ.

Answers

Answer: 2.4

Step-by-step explanation:

Because they are similar, the lengths of the sides will have the same ratio.

We will use side AB and side XY since it shows both sides.

This shows that the ratio is 3:4

We can then use that to find out that XZ also uses the ratio 3:4

3.2 / 4 = 0.8

0.8 * 3 = 2.4

XY is equal to 2.4

if Ray OC stands on a line AB such that angle AOC = angle COB then s.t angle AOCis equals to 90​

Answers

Answer:

Since ray OC stands on line AB.  

Therefore

∠AOC + ∠COB = 180° (Linear pair of angles)

But ∠AOC = ∠COB (given)

⇒ 2∠AOC = 180°

⇒ ∠AOC = 90

Step-by-step explanation:

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