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3 years ago

13

You are at a restaurant and the check comes to a total of $23. If you want to leave a 20% tip, how much total money should you p

ay, to the nearest cent?

1 answer:

Oxana [17]3 years ago

8 0

Answer:

$27.60

Step-by-step explanation:

23×1.2=27.60 is the answer

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Kyle ran 200 yard in 40 sec. How many feet could she ran each sec ?

Ghella [55]

5 feet a second. and now i am just saying things because this website has to make me have 20 words

8 0

3 years ago

That's the question ??

Oksanka [162]

Step-by-step explanation:

Before we answer, the area of a Circle given it radius is

$a = \pi r {}^{2}$

The area of a circle given it diameter is

$a = \pi( \frac{d}{2} ) {}^{2}$

So let answers question 1-4.

1. The area is

$1024\pi$

2. The area is

$576\pi$

3.

$1.225\pi$

4.

$309.76\pi$

For the 5th problem, circumference is

$\pi \times d$

where d is the diameter and

$2\pi r$

where r is the radius.

A circumference of 100 m means the radius is 50 because

$2\pi \times r = 100\pi$

$r = 50$

So this means the area is

$2500 {\pi}$

3 0

2 years ago

D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

2 years ago

Which statement is true regarding the graphed functions?

vaieri [72.5K]

Answer:

probably b

Step-by-step explanation:

5 0

3 years ago

The following data summarizes results from 945 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths

VikaD [51]

Answer:

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

945 accidents.

In 64 of them, the pedestian was intoxicated.

In 292 of them, the driver was intoxicated.

Probability that the pedestrian was intoxicated or the driver was intoxicated.

(64+292)/945 = 0.3767

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

6 0

3 years ago