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3 years ago

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cliff collects marbles. 1/2 of his collection is blue. of the blue marbles 1/2 of these are a dark blue. how much of cliff's mar

bles collection is dark blue.

1 answer:

IgorLugansk [536]3 years ago

6 0

Answer:

25%

Step-by-step explanation:

50% of marbles are blue.

Half of 50% is 25%.

For example:

You have 100 marbles. Half are blue, so fifty marbles are blue. Half of those 50 marbles are dark blue, so 50÷2 is 25. 25 is 1/4 of 100, which is also 25%.

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Newton’s law of cooling states that dx/dt= −k(x − A) where x is the temperature, t is time, A is the ambient temperature, and k

Vadim26 [7]

Answer:

(a) The solution to the differential equation is x = A_0Coswt + Ce^(-kx)

(b) The initial condition t > 0 will not make much of a difference.

Step-by-step explanation:

Given the differential equation

dx/dt= −k(x − A); t > 0, A = A_0Coswt

(a) To solve the differential equation, first separate the variables.

dx/(x - A) = -kdt

Integrating both sides, we have

ln(x - A) = -kt + c

x - A = Ce^(-kt) (Where C = ce^(-kt))

x = A + Ce^(-kx)

Now, we put A = A_0Coswt

x = A_0Coswt + Ce^(-kx) (Where C is constant.)

And we have the solution.

(b) Since temperature t ≠ 0, the initial condition t > 0 will not make much of a difference because, Cos(wt) = Cos(-wt).

It is not any different from when t < 0.

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A metal bar is 7 5/8 inches long. If 9/32 inches is cut off one end, how long is the bar after the cut?

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Jana and Tim both sell cleaning products to local housecleaning services. When Jana orders from the manufacturer of the products

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Answer: Jana and Tim will only spend the same amount on purchase orders to their manufacturers when they each order products with a total purchase value of $100.

Step-by-step explanation:

Jana and Tim would only be incurring same amount when both total purchase is to a value of $100. This is so because by purchasing a goods worth same amount, they both end up incurring $15 dollar additional cost. Jana would spend $15 on shipping her goods, while Tim would pay $4 Handling fees and $11 dollar shipping fee which would also amount to $15. What this means is total spent for both Jana and Tim would amount to $115 each.

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A grocery store manager notices that this month her store sold a total of 623 gallons of ice cream, which represents a decrease

kotykmax [81]

Answer:

- The store sold 733 gallons of ice cream last month.

- The store sold 748 pounds of broccoli last month.

Step-by-step explanation:

Given

$Ice\ Cream = 623$

$\%\ Ice\ Cream = 15\%$

$Broccoli = 912$

$\%\ Broccoli = 22\%$

Solving (a): Gallons of Ice Cream

<em>Let Gallons sold last month be G1; Gallons sold this month be G2;</em>

The relationship between both is:

$G2 =G1 - 15\% * G1$

Substitute 623 for G2

$623 =G1 - 15\% * G1$

$623 =G1 - 0.15 * G1$

$623 =G1 - 0.15 G1$

$623 =0.85 G1$

Divide through by 0.85

$G1 = 623/0.85$

$G1 = 732.941176471$

$G1 = 733$

Solving (b): Pounds of Broccoli

<em>Let Pounds sold last month be P1; Pounds sold this month be P2;</em>

The relationship between both is:

$P2 =P1 + 22\% * P1$

Substitute 912 for P2

$912 =P1 + 22\% * P1$

$912 =P1 + 0.22 * P1$

$912 =P1 + 0.22 P1$

$912 =1.22 P1$

Divide through by 1.22

$P1 = 912/1.22$

$P1 = 747.540983607$

$P1 = 748$

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3 years ago