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3 years ago

Hi can you guys do this one i rlly need ur help

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

7 0

Answer:

Pretend that you are flipping the shape over to the other side. R would be the same. Q would be the same. S would be (8, 5). and P would be (10, 1). but the letters for the opposite side would change

Step-by-step explanation:

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PLEASE HELPPppp

sasho [114]

Answer: B

Hope this helps :)

5 0

3 years ago

The region in the first quadrant bounded by the x-axis, the line x = In(pi), and the curve y = sin(ex) is rotated about the x-ax

Basile [38]

Answer:

Step-by-step explanation:

Please refer to the graph below.

So, we want to find the volume of the solid generated by revolving the green area about the x-axis.

We can use the disk method. The disk method is given by:

$\displaystyle V=\pi\int_a^bR(x)^2\, dx$

Where R(x) is the radius or height of the representative rectangle.

We are integrating from x = 0 to x = ln(π). The height of a representative rectangle is given by y. Therefore, the volume is:

$\displaystyle V=\pi\int_0^{\ln(\pi)}(\sin(e^x))^2\, dx$

Simplify:

$\displaystyle V=\pi\int_0^{\ln(\pi)}\sin^2(e^x)\, dx$

Approximate. So, the volume of the generated solid is:

$V\approx 2.498\text{ units}^3$

The solid is shown in the second figure.

(Courtesy of WolframAlpha.)

7 0

3 years ago

Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.

miss Akunina [59]

Answer:

Here's what I get.

Step-by-step explanation:

Part A. Equation in standard form

The question is asking you to find the equation of a straight line that passes through two points

Let x = the number of days

and y = the cost

Then the coordinates of the two points are (2,225) and (5,480).

(i) Calculate the slope of the line

$\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\& = & \dfrac{480 - 225}{5 - 2}\\\\& = & \dfrac{255}{3}\\\\& = & 85\\\end{array}$

In other words, the daily rental is $85/day.

(ii) Calculate the y-intercept

$\begin{array}{rcl}y & = & mx + b\\480 & = & 85 \times 5 + b\\480 & = & 425 + b\\b & = & 55\\\end{array}$

(iii) Write the equation for the line

y = 85x + 55

That is, the cost is $55 plus $85/day

Part B. Equation in function notation

Replace y with ƒ(x)

ƒ(x) = 85x + 55

Part C. Graphing

Let's say you want to plot a graph of the rental cost for up to ten days.

(i) Calculate two points on the graph.

When x = 0, y = 85; when x = 10, y = 905.

(ii) Scale your axes

A good number of intervals is about ten.

Your x-axis should have tick marks at 1-day intervals.

Your largest y-value is 905. Ten intervals would make about $90/interval. However, you should round that up to $100/interval for easy interpolation.

Your y-axis will run from 0 to $1000 in $100 intervals.

Plot your two points and draw a straight line through them.

(iii) Axis labels

x represents the number of days, so the label on the x-axis could be "No. of days."

y represents the cost of renting the boat, so the label on the y-axis could be "Rental cost."

Your graph should resemble the one below.

4 0

3 years ago

-3x + 3y = 9 2x - 7y = -14

snow_tiger [21]

Sorry for the wait,

Hope this helps and have a great day!!!!!

7 0

3 years ago

Review the federal income tax table.

SSSSS [86.1K]

9514 1404 393

Answer:

$16,974.50

Step-by-step explanation:

$14,382.50+24% of the amount over $84,200 is ...

$14,382.50 +0.24×(95,000 -84,200) = $14,382.50 +2592.00 = $16,974.50

Mustafa owes $16974.50 in federal income tax.

_____

Additional comment

Each row of the tax table can be simplified by multiplying out the expression it describes. For the row applicable to this problem, that becomes ...

14382.50 +0.24(amount -84200) = 14382.50 +0.24×amount -20208

= 024×amount -5825.50

4 0

3 years ago