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m_a_m_a [10]
3 years ago
8

Lydia spent 4/5 of her money on a mobile phone and 2/3 of the remaining amount on a bag. She had $60 left. How much more money d

id she spend on the mobile phone than on the bag?

Mathematics
1 answer:
KengaRu [80]3 years ago
5 0
The answer is 600 because 1 out 3 is 60 so to find the bag multiply by two while to find 1 out 5 of her monet take 60 times 3 which is 180. 180 times 4 is the money she spent on her mobile phone so take the money spent on her mobile phone(720)minus the amount of money spent on the bag(120)
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(c). Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria culture at time t (in s
Bezzdna [24]

(i) Since P(t) gives the population of the culture after t seconds, the population after 1 second is

P(1) = 3•1² + 3e¹ + 10 = 13 + 3e ≈ 21.155

In Mathematica, it's convenient to define a function:

P[t_] := 3t^2 + 3E^t + 10

(E is case-sensitive and must be capitalized. Alternatively, you could use Exp[t]. You can also specify that the argument t must be non-negative by entering a condition via P[t_ ;/ t >= 0], but that's not necessary.)

Then just evaluate P[1], or N[P[1]] or N <at symbol> P[1] or P[1] // N to get a numerical result.

(ii) The average rate of change of P(t) over an interval [a, b} is

(P(b) - P(a))/(b - a)

Then the ARoC between t = 2 and t = 6 is

(P(6) - P(2))/(6 - 2) ≈ 321.030

In M,

(P[6] - P[2])/(6 - 2)

and you can also include N just as before.

(iii) You want the instantaneous rate of change of P when t = 60 (since 1 minute = 60 seconds). Differentiate P :

P'(t) = 6t + 3e^t

Evaluate the derivative at t = 60 :

P'(60) = 6•60 + 3e⁶⁰ = 360 + 3e⁶⁰

The approximate value is quite large, so I'll just leave its exact value.

In M, the quickest way would be P'[60], or you can differentiate and replace (via ReplaceAll or /.) t with 60 as in D[P[t], t] /. t -> 60.

5 0
3 years ago
How many times does she expect to draw a marble that isn’t red
otez555 [7]
There is a 50/50 chance she does or doesnt take a red marble out the back so its most likely 40 times because of how there are other 2 colors and she is putting back the marbles in the bag
4 0
3 years ago
The table shows three unique functions.
Lady_Fox [76]

The true statements about the functions are:

  • g(x) has the maximum greatest value.
  • h(x) has a range of all negative numbers.

<h3>How to determine the true statements?</h3>

The complete question is in the attached image

From the image, we have:

  • g(x) has the greatest maximum value of 7 1/2
  • All the values of h(x) are negative
  • All the values of f(x) are positive

This means that the true statements about the functions are g(x) has the maximum greatest value and h(x) has a range of all negative numbers.

Read more about domain and range at:

brainly.com/question/17019835

#SPJ1

4 0
2 years ago
A and B are similar solid cylinders base area of A : base area of B = 9 : 25
fomenos

Answer:

Two figures are similar if the figures have the same shape but different sizes.

Then if we have two figures X and X'

Such that one dimension of X is D, the correspondent dimension on X' will be:

D' = k*D

Such that k is the scale factor that relates the figures.

1:k

Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:

S' = k^2*S

then the ratio of the surfaces is:

1:k^2

While the relation between the volumes will be:

V' = k^3*V

Here the ratio is:

1:k^3

Ok, in this case we have two cylinders

We know that the ratio between the base area ( a surface) is:

9:25

a) We want to find the ratio: curved surface area of A : curved surface area of B

Because again we have a surface area, the ratio should be exactly the same as before, 9:25

b) height of A : height of B

In this case, we have a single dimension.

Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:

9:25

is related to k^2

Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:

√9:√25

3:5

This is the ratio of the heights.

Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.

(3/3):(5/3)

1:(5/3)

Then:

k = 5/3

7 0
3 years ago
How many pennies could you have if: When you break the pennies into groups of 2, you have 1 penny left over, AND when you break
dsp73

Answer:

31 pennies

Step-by-step explanation:

Given that:

Breaking the number of pennies into 2 groups, there is 1 penny left over.

Breaking the pennies into 3 groups, there is 1 penny left over.

Breaking the pennies into 5 groups, there is 1 penny left over.

Breaking the pennies into groups implies that the same number of pennies are in each group for each case. Since there is no restriction to the number of pennies in the groups for all cases, then the total number of pennies would be 31.

So that;

31 = 15 + 15 + 1 =  2 groups + 1

31 = 10 + 10 + 10 + 1 = 3 groups + 1

31 = 6 + 6 + 6 + 6 + 6 + 1 = 5 groups + 1

There are 31 pennies.

8 0
3 years ago
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