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3 years ago

Write out a equation of a line which has a slope of 2

Mathematics

1 answer:

butalik [34]3 years ago

4 0

Answer:

There are many lines with slopes of 2. When writing them, they simply need to be y = 2x + b, with which b can be any number.

Step-by-step explanation:

We know this because slope intercept form is y = mx + b, in which m is the slope of the equation.

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Please help fast need it by today

KiRa [710]

6. It is asking you to find the surface area for this one:

1 litre = 0.001 cubic meters
15.4 litres = 0.0154 cubic meters

The volume of the cylinder has to be 0.0154m^3.

V = (pi(r)^2)h
0.0154 = (pi(r)^2)(1)
r^2 = 0.0154/pi
r = 0.07m

Surface Area of Circles on Bottom:
A = pi(r)^2
A = pi(0.07)^2
A = 0.0154
0.0154*2 = 0.0308m^2

Surface Area of Walls:
This will be the circumference of the circle times the height, since the walls are just like a big rectangle.

C = 2pi(r)
C = 2pi(0.07)
C = 0.44m
0.44*1 = 0.44m^2

Finally, add the two surface areas:
0.44 + 0.0308 = 0.47m^2

You will need 0.47m^2 of sheet metal to make this cylinder.

7. Find the volume of everything and just the graphite, and subtract the graphite’s volume from everything to get just the wood. The volume of a cylinder is pi((r)^2)h.

Everything:
Watch out for units, since the diameter is in mm and the length is in cm.

r = 3.5mm or 0.35cm
V = pi((0.35)^2)(14)
V = 5.34cm^3

Graphite:

r = 0.5mm or 0.05cm
V = pi((0.05)^2)(14)
V = 0.11cm^3

5.34 - 0.11 = 5.23cm^3

8. For this problem, it wants your answer in cm^3. Find the volume of one bowl and multiply it by 250:

r = 3.5cm
V = pi((3.5)^2)(4)
V = 153.94cm^3

153.94*250 = 38484.51cm^3 of soup needed.

I sure hope that I didn’t confuse you too much with all of my math gibberish (sorry). Please let me know if there is anything else that I can help with. Have a nice day

3 0

3 years ago

A website sells a dress at £40 and shoes at £32. The website has an offer: Buy a dress and shoes together and get 1/2 off the pr

tekilochka [14]

Answer:

$\pounds36$

Step-by-step explanation:

Cost of one dress = $\pounds40$

Cost of one pair of shoes = $\pounds32$

Cost of one dress and a pair of shoes is $40+32=\pounds72$

They get half off the price because they buy both

$\dfrac{72}{2}=\pounds32$

The shipping and handling charge is $\pounds4$ .

So, the total amount Ruth has to pay is $32+4=\pounds36$ .

6 0

3 years ago

Letang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System A costs $280,00

Vanyuwa [196]

We have to calculate the EAC for both the conveyor belt system.

Solutions :

Equivalent Annual Cost or (EAC) for the SYSTEM-A

$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times$ tax rate )

$=-855,000(1-0.23)+\left[\left(\frac{280,000}{4}\right)\times 0.23\right]$

$= (-85,000 \times 0.77 ) + (70,000 \times 0.23)$

= $ 49,350

Year Annual Cost flow Present value factor Present Value of Annual

at 10% cash flow

1 -49,350 0.909091 -44,863.64

2 -49,350 0.826446 -40,785.12

3 -49,350 0.751315 -37,077.39

4 -49,350 0.683013 -33,706.71

Total $ 3.169865 $ -156,432.86

Therefore, Net Present value = present value of the annual cash flow - initial investment.

= 156,432.86 - 280,000

= $ 436,432.86 (negative)

Now the EAC or the Equivalent Annual Cost for System A :

$\text{EAC}= \text{Net present value / (PVIFA 10 percent, 4 years)}$

$=\frac{436,432.86}{3.169865}$

$= 137,681.86$ dollar (negative)

$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times$ tax rate)

$=79,000(1-0.23)+\left[\left(\frac{360,000}{6}\right) \times 0.23\right]$

$=(-78,000 \times 0.77)+(60,000 \times 0.23)$

= -$ 47,030

Year Annual Cost flow Present value factor Present Value of Annual

at 10% cash flow

1 -47,030 0.909091 -42,754.55

2 -47,030 0.826446 -38,867.77

3 -47,030 0.751315 -35,334.34

4 -47,030 0.683013 -32,122.12

5 -47,030 0.620921 -29,201.93

6 -47,030 0.564474 -26,547.21

Total $ 4.355261 $ -204,827.91

Net Present Value = Present Value of annual cash inflows – Initial Investment

$= 204,827.91 - 360,000$

= -$ 564,827.91 (negative)

EAC for system B:

Equivalent Annual Cost for system B $=\frac{\text{net present value}}{\text{PVIFA 10 \text percent, 6 years}}$

$=\frac{-564,827.91}{4.355261}$

= -$129,688.66 (negative)

7 0

2 years ago

PLEASE ANSWER ASAP !!!!!!!!!!(x + 5)2 + y² = 13 2x + y = -2

Ymorist [56]

Answer:

(1 + y)(x + 2y)

hope this is right

Step-by-step explanation:

5 0

3 years ago

Help picture below problem 11

juin [17]

Answer:

Missing Angle = 26⁰ ( corresponding angles )

7 0

2 years ago