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Tanzania [10]
4 years ago
6

Caleb started saving money in a cookie jar. He started with $25 .He adds $10 to the cookie jar each week. Write an equation wher

e w is the number of weeks Caleb saves his money and t is the total amount in dollars in the cookie jar. Determine which variable is the independent variable and which is the dependent variable . Then , graph the total amount in the cookie jar for w being less than 6 weeks
Mathematics
1 answer:
Kryger [21]4 years ago
8 0
It would be, t= 10w + 25 And to make a graph but in values for w; w: 1 / 2 / 3 / 4 t: 35/ 45 / 55 / 65 And then you plot the points on the graph.
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Christina has 40 coins in her collection. she has 21 fewer coins in her collection than shaya has in hers.
KATRIN_1 [288]
A. and b. 40+21=61 coins has shaya
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6 0
3 years ago
Can someone plz help me solved this problem! Need help ASAP! Help me !
lana66690 [7]

Answer:  5, 8

<u>Step-by-step explanation:</u>

The difference between 3 times a number and -8 is BETWEEN 23 and 32

Note: "difference" means subtraction --> 3x - (-8)  --> 3x + 8

               23 < 3x + 8 < 32

               15 < 3x        < 24          <em> subtracted 8 from all 3 sides</em>

-->             5 <   x        <   8          <em>divided 3 from all 3 sides</em>

 

5 0
3 years ago
A drop of oil makes a circular ring in a water puddle. The radius of the oil ring expands at 1.5 cm per second. If r(t)=1.5t and
Readme [11.4K]

Answer:

a(t) =n(0.25t^2)

Step-by-step explanation:

Given

r(t) = 0.5t

a(r) = nr^2

Required

Determine the area in terms of time

From the question, we have:

r(t) = 0.5t -> radius per time

and

a(r) = nr^2 --> area from radius

The interpretation of the question is to find the composite function: a(t)

If a(r) = nr^2, and r(t) = 0.5t, the

Substitute 0.5t for r

a(t) =n(0.5t)^2

a(t) =n*0.25t^2

a(t) =n(0.25t^2)

5 0
3 years ago
Which company’s tower holds the most water?
GuDViN [60]

Answer: First Option

Step-by-step explanation:

The formula to calculate the volume of a cylinder is:

V = \pi(\frac{d}{2})^2*h

Where d is the diameter of the cylinder and h is the height.

Notice that the term d is squared. This means that to increase the volume of a cylinder it is more efficient to increase its diameter as well. Therefore, look for the cylinder with the largest diameter among the options.

The first cylinder is 90 ft in diameter and 40 ft in height and its volume is

V = \pi(\frac{90}{2})^2*40

V=254469\ ft^3

You can verify that it is the tank that has the highest volume

8 0
3 years ago
Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.
Artyom0805 [142]
A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
\frac{dT}{dt} = \alpha(T -52)

B) Find general solution by separating variables and integrating\int\frac{dT}{T-52} = \alpha \int dt   \\  ln (T-52) = \alpha t + C  \\  T = C e^{\alpha t} +52:


C) Initial condition is t=0, T = 87
87 = C +52 \\  C = 35

D) Total time elapsed is 10 minutes, new temperature is 84
84 = 35 e^{10\alpha} +52
solve for alpha
e^{10\alpha} =\frac{32}{35}  \\  \alpha = \frac{ln(32/35)}{10} \\  \alpha = -.00896

E) Temperature function is:
T = 35 e^{-.00896 t} +52
solving for t
t = \frac{ln (\frac{T-52}{35})}{-.00896}
Plug in T = 98.6
t = -31.95

This is approximately 32 minutes before he arrived or about 1:20 AM
3 0
3 years ago
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