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3 years ago

6

Dan and Kayla dined at a restaurant, and their bill was $29.74. They would like to leave a tip of approximately 15% of their bil

l. Which of the following is closest to this amount?

1 answer:

Zigmanuir [339]3 years ago

4 0

Answer:

The exact number is $4.461, so you can find the closest amount from the provided options.

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What is the next two terms of 2,4,6,24,26

Dmitrij [34]

Answer:

108 and 110

Step-by-step explanation:

because the pattern is multiply by 4, then add 2

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2 years ago

Read 2 more answers

Evaluate the integral by changing to polar coordinatesye^x dA, where R is in the first quadrant enclosed by the circle x^2+y^2=2

34kurt

$\displaystyle\iint_Rye^x\,\mathrm dA=\int_{\theta=0}^{\theta=\pi/2}\int_{r=0}^{r=5}r^2\sin\theta e^{r\cos\theta}\,\mathrm dr\,\mathrm d\theta$

which follows from the usual change of coordinates via

$\begin{cases}\mathbf x(r,\theta)=r\cos\theta\\\mathbf y(r,\theta)=r\sin\theta\end{cases}$

and Jacobian determinant

$|\det J|=\left|\begin{vmatrix}\mathbf x_r&\mathbf x_\theta\\\mathbf y_r&\mathbf y_\theta\end{vmatrix}\right|=|r|$

Swap the order, so that the integral is

$\displaystyle\int_{r=0}^{r=5}\int_{\theta=0}^{\theta=\pi/2}r^2\sin\theta e^{r\cos\theta}\,\mathrm d\theta\,\mathrm dr$

and now let $\sigma=r\cos\theta$ , so that $\mathrm d\sigma=-r\sin\theta$ . Now, you have

$\displaystyle\int_{r=0}^{r=5}\int_{\sigma=0}^{\sigma=r}re^\sigma\,\mathrm d\sigma\,\mathrm dr=\int_{r=0}^{r=5}r(e^r-1)\,\mathrm dr=4e^5-\dfrac{23}2$

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3 years ago

What's the chance of NOT rolling a seven using a pair of dice.

Gemiola [76]

Answer:

5/6

Step-by-step explanation:

total possible = 36

Favorable = 6

1 6

6 1

2 4

4 2

3 4

4 3

Part/whole

6/36

= 1/6

NOT = 5/6

7 0

3 years ago

A shipping service restricts the dimensions of the boxes it will ship for a certain type of service.

Mandarinka [93]

Answer:

Then the answer is option a

a. 0<x $\leq$ 10

Step-by-step explanation:

perimeter + height is less than 130 inches.

If height is 60 inches.then perimeter left is 70 inches.

If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.

perimeter of rectangle is

It has two widths and two lengths because that's what rectangles do.

width of base "x"

Then the length is 2.5x

perimeter = 2 width + 2 length

= $2(x) + 2(2.5x)$

= 2x + 5x

= 7x

but perimeter can't be more than 70 inches.

So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.

$2x + 2(2.5x) + 60 \leq 130$

7x + 60 ≤ 130

7x ≤ 70

x ≤ 10

Then the answer is option a

a. 0<x≤10

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3 years ago

The sum of a rational number and an irrational number is___ rational.

irga5000 [103]

A.) Never
the sum is always irrational

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3 years ago