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4 years ago

Staff giving after cupcake to every 4th customer. pay is the 17th customer that morning. will she get a free cupcake

Mathematics

1 answer:

kvasek [131]4 years ago

5 0

No, she will not. The 16th customer will

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Any help with this greatly appreciated.

Anestetic [448]

Put the equation in standard linear form.

$x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}$

Find the integrating factor.

$\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5$

Multiply both sides by $\mu$ .

$(t+5) x'(t) + x(t) = 5(t+5)e^{5t}$

Now the left side the derivative of a product,

$\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}$

Integrate both sides.

$(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt$

On the right side, integrate by parts.

$(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C$

Solve for $x(t)$ .

$\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}$

3 0

2 years ago

One side of a triangle measures 10 inches. Which could be the measures of the other 2 sides of the triangle?

stellarik [79]

Answer:

B. 4 and 6 in

Step-by-step explanation:

The triangle inequality rule states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

So for the first qualification, we can eliminate A, C, and D. Therefore the answer is B, 4 & 6 in

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3 years ago

2 4/5 divided by 2/3

daser333 [38]

Answer:

4.2 cuz yeah

Yeet :)

5 0

4 years ago

Read 2 more answers

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME I BEGGING YOU PLZZZZZZZZZZZZZZZ HELP!!!! (55 POINTS)

Karo-lina-s [1.5K]

Answer:

1. 74 because 8(10) - 6

2.4(4) - 5(3) = 1

3. 7(3)+8(4) * 2 = 106

4. A

5.a

6. 20.5

7.26

8.a

9.a

10a

Step-by-step explanation:

3 0

3 years ago

Tierra bought 4 3/8 yards blue ribbon and 2 1/8 yards yellow ribbon for a craft project. how much more blue ribbon than yellow r

jasenka [17]

4 3/8-2 1/8=2 1/4 is the answer

7 0

4 years ago

Read 2 more answers