1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Digiron [165]
3 years ago
14

The equation A = 125 gives the amount, in grams, of a radioactive substance

Mathematics
1 answer:
Helen [10]3 years ago
4 0

Answer:

y=125a+1

Step-by-step explanation:

You might be interested in
Need help this please!
AnnZ [28]

Answer:

My earlier answer was deleted, so I'm reposting.  The only thing I can think happened is that I included a link to a free bar chart program, which I used for the attached chart.

Step-by-step explanation:

Make your own chart or find an online bar chart utility.  I was unable to properly label the title and axes on my chart, so modify these properties.

8 0
2 years ago
1.    An AP has a common difference of 3.  Given that the nth term is 32, and the sum of the first n terms is 185, calculate the
netineya [11]

Answer:

The value of n is 10

Step-by-step explanation:

The formula of the nth term of the arithmetic progression is a_{n} = a + (n - 1)d

  • a is the first term
  • d is the common difference between each 2 consecutive terms
  • n is the position of the term

The formula of the sum of nth terms is S_{n} = \frac{n}{2} [2a + (n - 1)d]

∵ An AP has a common difference of 3

∴ d = 3

∵ The nth term is 32

∴ a_{n} = 32

→ Substitute them in the 1st rule above

∵ 32 = a + (n - 1)3

∴ 32 = a + 3(n) - 3(1)

∴ 32 = a + 3n - 3

→ Add 3 to both sides

∴ 35 = a + 3n

→ Switch the two sides

∴ a + 3n = 35

→ Subtract 3n from both sides

∴ a = 35 - 3n ⇒ (1)

∵ The sum of the first n terms is 185

∴ S_{n} = 185

→ Substitute the value of S_{n} and d in the 2nd rule above

∵ 185 = \frac{n}{2} [ 2a + (n - 1)3]

∴ 185 = \frac{n}{2} [2a + 3(n) - 3(1)]

∴ 185 = \frac{n}{2} [2a + 3n - 3]

→ Multiply both sides by 2

∴ 370 = n(2a + 3n - 3)

∴ 370 = 2an + 3n² - 3n

→ Substitute a by equation (1)

∴ 370 = 2n(35 - 3n) + 3n² - 3n

∴ 370 = 70n - 6n²+ 3n² - 3n

→ Add the like terms in the right side

∵ 370 = -3n² + 67n

→ Add 3n² to both sides

∴ 3n² + 370 = 67n

→ Subtract 67 from both sides

∴ 3n² - 67n + 370 = 0

→ Use your calculator to find n

∴ n = 10 and n = 37/3

∵ n must be a positive integer ⇒ 37/3 neglecting

∴ n = 10

∴ The value of n is 10

4 0
2 years ago
$7.825 per hour × $32.125 hours round answer to the thousandth of a dollar???​
xenn [34]
Correct it is right u have to multipl
4 0
3 years ago
El lote de la familia lópez tiene un lote de 16m*10m y se desea construir una casa de base rectangular en el centro de el.¿que d
Fynjy0 [20]
The dimensions of the house should be 7 m by 13 m.

If the house is to be centered, we will take the same amount from the width as we do from the length of the lot for the dimensions.  This gives us (10-x) and (16-x) as the dimensions.

The area of a rectangle is found by multiplying the length and width:
(10-x)(16-x) = 91

Multiplying the binomials we have:
10*16 - x*10 - x*16 -x*(-x) = 91
160 - 10x - 16x --x² = 91
160-10x-16x+x² =91

Combine like terms:
160-26x+x²=91

Rewrite this in standard form:
x²-26x+160=91

Subtract 91 from both sides:
x²-26x+160-91 = 91-91
x²-26x+69 = 0

Factoring this, we look for factors of 69 that sum to -26.  -23*-3 = 69 and -23+-3 = -26, so:

(x-23)(x-3) = 0

Using the zero product property we know that either x-23=0 or x-3=0, so x=23 or x=3. 

x was the amount we take off of the width and length of the lot; if we took 23m off of it, 10-23 gives us a negative amount, which is not realistic. This means both the width and length are subtracted by 3.

10-3 = 7 and 16-3 = 13.

These are the dimensions of the house.
7 0
3 years ago
Please help with this i will attach photo of figure
Zigmanuir [339]

The variable I=f(w) represents the number of individuals (in thousands) infected w weeks after the epidemic begins.

The value of I=f(2) represents the number of individuals in thousandas infected 2 weeks after the beginning of the epidemic.

From the graph, where I=8, we can conclude that there are 8,000 infected people after 2 weeks of the beginning of the epidemic.

Answer:

f(2) = 8

Means 8,000 people are infected after 2 weeks of the beginning of the epidemic.

8 0
1 year ago
Other questions:
  • Which geometric solids would model the tent?
    10·2 answers
  • If rain is falling at a rate of 1/4 inch per hour, how much rain would you expect after 6 hours?
    11·2 answers
  • 7.<br>What is the solution to the equation shown below?<br>2/3x+5=1​
    8·2 answers
  • Show two different ways to show one third
    8·1 answer
  • Plss help i dont understand :(
    11·1 answer
  • A punch recipe that serves 24 people calls for 4 liters of lemon soda, 2 pints of sherbert, and 6 cups of ice. How much of each
    9·1 answer
  • The side length of a square is represented by the expression n - 1.5. Which are equivalent expressions for the perimeter of the
    11·1 answer
  • Which part of this graph shows a nonlinear relationship?
    5·2 answers
  • The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Fin
    11·1 answer
  • Johnny measured the wading pool at the Belleville Community Center and calculated that it has a circumference of 6.28 meters. Wh
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!