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3 years ago

I WILL MARK BRAINLIEST :]

Mathematics

1 answer:

Maurinko [17]3 years ago

6 0

Answer:

A. . A cheeseburger is $7.95 plus $1.00 for each additional topping.

Step-by-step explanation:

You might be interested in

Find the volume of the region between the planes x plus y plus 2 z equals 2 and 4 x plus 4 y plus z equals 8 in the first octant

Alex787 [66]

Find the intercepts for both planes.

Plane 1, x + y + 2z = 2:

$y=z=0\implies x=2\implies (2,0,0)$

$x=z=0\implies y=2\implies(0,2,0)$

$x=y=0\implies 2z=2\implies z=1\implies(0,0,1)$

Plane 2, 4x + 4y + z = 8:

$y=z=0\implies4x=8\implies x=2\implies(2,0,0)$

$x=z=0\implies4y=8\impliesy=2\implies(0,2,0)$

$x=y=0\implies z=8\implies(0,0,8)$

Both planes share the same x- and y-intercepts, but the second plane's z-intercept is higher, so Plane 2 acts as the roof of the bounded region.

Meanwhile, in the (x, y)-plane where z = 0, we see the bounded region projects down to the triangle in the first quadrant with legs x = 0, y = 0, and x + y = 2, or y = 2 - x.

So the volume of the region is

$\displaystyle\int_0^2\int_0^{2-x}\int_{\frac{2-x-y}2}^{8-4x-4y}\mathrm dz\,\mathrm dy\,\mathrm dx=\displaystyle\int_0^2\int_0^{2-x}\left(8-4x-4y-\frac{2-x-y}2\right)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^2\int_0^{2-x}\left(7-\frac72(x+y)\right)\,\mathrm dy\,\mathrm dx=\int_0^2\left(7(2-x)-\frac72x(2-x)-\frac74(2-x)^2\right)\,\mathrm dx$

$=\displaystyle\int_0^2\left(7-7x+\frac74 x^2\right)\,\mathrm dx=\boxed{\frac{14}3}$

3 0

3 years ago

Sally is now 10 years older than Suki. 5 years ago, the sum of their age was 40. How old are they now?

Nikitich [7]

Answer:

Sally is 30 and Suki is 20

Step-by-step explanation:

x = Sally's age

y = Suki's age

x = 10 + y

(x - 5) + (y - 5) = 40

x = 30, y = 20

7 0

3 years ago

Read 2 more answers

Need help on this please

cestrela7 [59]

TLDR: 1 is 3, 2 is 5, 3 is 8.

Luckily for you, question 1 and 2 are linear functions. You don’t have to do any extra calculations to find the rate of change, because it’s always consistent. Question 1 is 3, and question 2 is 5.

Question 3 involves the evaluation of a quadratic, so we have to do a little bit of math. Plug in the two endpoints of the interval into the equation to obtain their y-coordinate values; we’ll use these points to calculate the slope.

(1,3) and (3, 19)

Now, using the slope formula:

M=y2-y1 = 19-3 = 16=8
x2-x1 3-1 2

The slope for Question 3 is 8.

8 0

3 years ago

Bryan earned $9 per hour walking dogs. He paid $20 to print some flyers to advertise his dog walking business. After his expense

jonny [76]

Answer:

bryan walked dogs for 5.8 hours

Step-by-step explanation:

if he had $52 and the walk per hour is $9

you have to divide 52/9

52/9 is 5.77777777777...

after you roud it to the nearest tenth that is 5.8

3 0

3 years ago

If i have 2 c's 2 A's 3 b's and 1 d what is my gpa and would i be able to pass 8th grade

IgorC [24]

A= 4 points
B= 3 points
C= 2 points
D= 1 point
F= 0 points

So you add 2+2+4+4+3+3+3+1
Which equals 22
Now divide 22 by 8
You get 2.75
So yes with a 2.75 gpa you should pass 8th grade as most schools require nothing less than a 2.0

8 0

4 years ago