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daser333 [38]
11 months ago
5

A 1200 gram sample of radioactive matter will completely decay (be undetectable) in 10 hours. There exists a set of ordered pair

s (t. m), where t is the amount of time in hours that the substance has been decaying, and m is the mass in grams that has decayed.
If t≥ 0, what is the range of m?​

Mathematics
1 answer:
julia-pushkina [17]11 months ago
3 0

Using it's concept, the range of the function is given as follows:

0 ≤ m ≤ 1200.

<h3>What is the range of a function?</h3>

The range of a function is the set that contains all possible output values for the function.

For this problem, we have to consider these two bullet points next, considering the mass is the output value of the function.

  • The smallest possible mass for the substance is of 0 grams, as after the substance decays to 0 grams, it will not assume a negative value, it will just disappear.
  • The greatest possible mass for the substance is the initial mass of 1200 grams, as the substance does not adquire mass with time, it just loses it.

Considering these masses, the range of the function is given as follows:

0 ≤ m ≤ 1200.

More can be learned about the range of a function at brainly.com/question/10197594

#SPJ1

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Please help me on this math I have been trying to solve it but I can't please please help me!!!!!!​
ludmilkaskok [199]

Answer:The first table would be a proportional relationship.

Step-by-step explanation:

It's the only table with a constant, which is required in a proportional relationship. The constant would be 1300 which you can find by divided the two numbers in each row.

7 0
2 years ago
PLEASE HELP FAST The Booster Club raised $30,000 for a sports fund. No more money will be placed into the fund. Each year the fu
zloy xaker [14]

Answer:

c. $24,435

Step-by-step explanation:

30000(1 - .05)^{4} = 24,435.19

3 0
3 years ago
I need help asap pls and thank you ;)
olga55 [171]

Answer:

\text{Length of AB is }\frac{ah}{a+h}

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

we have to find the length of AB.

Let the side of square i.e AB is x units.

As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°

⇒ CP||MP||AB

In ΔMNP and ΔCND

∠NCD=∠NMP     (∵ corresponding angles)

∠NDC=∠NPM     (∵ corresponding angles)

By AA similarity rule,  ΔMNP~ΔCND

Also, ΔKAP~ΔKPM by similarity rule as above.

Hence, corresponding sides are in proportion

\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\

KA(\frac{h}{x}-1)=AP

ND(\frac{h}{x}-1)=PD

Adding above two, we get

(KA+ND)(\frac{h}{x}-1)=(AP+PD)

⇒ (KN-AD)=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x^2}{h-x}

⇒ x^2=ah-ax-xh+x^2

⇒ x(h+a)=ah

⇒ x=\frac{ah}{a+h}

3 0
2 years ago
Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balanc
MAXImum [283]

There are 15 years was his money invested.

<h3>What is simple interset?</h3>

Simple Interest is an easy method of calculating the interest for a loan/principal amount.

Given

Frank invests $1,000 in simple interest investment account that pays 8% a year.

After a number of years, he withdraws his balance of $2,200.

The number of years was his money inversted is;

\rm I= P\times r \times t

Where p is the principal amount, r is the rate of interest, I is the amount and  t is the time.

Substitute all the values in the formula;

\rm I= P\times r \times t\\\\2200-1000= 1000 \times .08 \times t\\\\1200 = 80t\\\\t = \dfrac{1200}{80}\\\\t=15

Hence, in the 15 years was his money invested.

To know more about investing click the link given below.

brainly.com/question/26677076

7 0
1 year ago
100pts help with math study guide?
OleMash [197]
C=90°

Since the triangles are similar, the angles will be the same. A corresponds with D and equals 75° and B corresponds with E and equals 15°, so C and F must be 90°, since the angles in a triangle add up to 180°.

Hope this helps :)
7 0
3 years ago
Read 2 more answers
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