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nirvana33 [79]
4 years ago
9

A scientist receiving a new sample of plutonium knows that the sample will not be of use to him after 90 percent of the radioact

ive material in the sample has disintegrated. If the half-life of this particular plutonium isotope is 113 days, for how many days after the sample arrives will the scientist be able to make use of the plutonium?
Mathematics
1 answer:
lord [1]4 years ago
8 0

Answer:

Step-by-step explanation:

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Will give brainliest!!
ollegr [7]

Answer:

1

Step-by-step explanation:

The production cost of company 1 never gets below 340 (at x=20), found e.g., by equating the derived function to 0.

You can figure out that g(x) = 0.05x^2 -7x + 300, but you already know that company 1 has higher cost based on the example values for g(x).

3 0
4 years ago
Read 2 more answers
a machine can reduce 21 inches of ribbon every 3 minutes. How many feet of ribbon can the machine make in one hour?
Zarrin [17]
Okay. Let's make a proportion for this. So we can do 21/3=x/60. Let's multiply cross way. So 21 x 60 is 1260. We multiply 3 by x to get 3x. So our equation will be 3x=1260. We can isolate the equation by 3, and 1260 divided by 3 is 420. So x=420. We then have to convert into feet. So 420 divided by 12 is 35. So it would be 35 feet. Therefore, the machine can make 35feet of ribbon in a hour.
3 0
3 years ago
What are the solutions to m2 – 9 = 0?
Sati [7]

Answer:

m2-9=0

Step-by-step explanation:

Two solutions were found :

m = 3

m = -3

 

Step by step solution :

Step  1  :

Trying to factor as a Difference of Squares :

1.1      Factoring:  m2-9  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check :  m2  is the square of  m1  

Factorization is :      (m + 3)  •  (m - 3)  

Equation at the end of step  1  :

 (m + 3) • (m - 3)  = 0  

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    m+3 = 0  

Subtract  3  from both sides of the equation :  

                     m = -3

Solving a Single Variable Equation :

2.3      Solve  :    m-3 = 0  

Add  3  to both sides of the equation :  

                     m = 3

5 0
4 years ago
1.The angle of elevation of a jet plane from a point R on the ground is 60°. After a flight of
egoroff_w [7]

Answer:

<u>Diagram is not so perfect</u>

<u>OR = distance travelled by the jet plane</u><u>.</u>

Step-by-step explanation:

Let point J be the jet plane and OJ be the constant height at jet plane is flying and OR be the distance jet plane is travelling.

h =

1700 \sqrt{3}

Now,

From the figure i drew (1st)

taking 60 as reference angle,

tan60° = p/b

or,

tan60 = 1700 \sqrt{3}  \div b

b \:  = 1700 \sqrt{3}  \div tan60

so, b = 1700m

inital distance = 1.7km(OR)

now,

tan 30 = p/b

tan30 = 1700 \sqrt{3}  \div b \\ or \: b = 1700 \sqrt{3}  \div tan30

so, b = 5100 m

so, final distance = 5.1 km(OR)

Now,

distance travelled = final distance - initial distance

distance travelled = 5.1 km - 1.7km

distance travlled = 3.4 km

Now,

time = 17 seconds

= 0.00472 hour.

Now,

speed = d/t

or, speed = 3.4/0.00472

so, speed = 720.3389km/hr

so, speed = 720 km/hr approximately

5 0
3 years ago
The repayment schedule is for a $1,300 loan at 7.5% for 6 months. What is the amount for interest at payment 5?
max2010maxim [7]

Answer: The answer is $2.77.


Step-by-step explanation:   Given that we have to pay the loan of $1300 at interest rate of 7.5% in 6 months. According to the table,

Amount for interest in payment 1 = $8.13,

Amount of interest in payment 2 = $6.79

and

Amount of interest in payment 3 = $5.45.

We can see here that the difference in the amounts to be paid in consecutive months will be same, i.e., the payments will form an arithmetic progression (A.P.).

The common difference = 8.13-6.79=6.79-5.45=1.34.

Therefore, amount of interest in payment 4 = $(5.45-1.34) = $4.11

and amount of interest in payment 5 = $(4.11-1.34) = $2.77.

Please see the attached modified table.

Thus, the answer is $2.77.

4 0
3 years ago
Read 2 more answers
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