1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andru [333]
2 years ago
5

Mariana and Vicky both solved 617 divided 6. Mariana got 12 remainder 5 as her answer. Vicky got 102 remainder 5 as her answer.

Mathematics
2 answers:
valentina_108 [34]2 years ago
4 0

Answer:

617 ÷ 6

Dividing in order from left to right:

6 into 6 goes once.

6 into 1 doesn't so carry the 1 to the next number

6 into 17 goes twice, remainder 5

So we have: 102 remainder 5.

Vicky is correct.

Serjik [45]2 years ago
4 0
Vicky, because 102x6 is 612 and add 5 you get 617
You might be interested in
Square root of 82 rounded to 0.05
Oksanka [162]
I believe it's 9.1 Hope this helps :)
7 0
3 years ago
Maxwell Flooring started the year with total assets of $160,000 and total liabilities of $75,000. During the year, the business
juin [17]

Answer:

(A) $150,000

Step-by-step explanation:

As per the given data of the question,

Maxwell Flooring started the year with

Total Assets = $160,000

Total liabilities = $75,000

Revenues = $250,000

Expenses = $100,000

Dividends = $30,000

Stockholders' equity at the end of the year was given by formula:

SE = (Total Assets - Total Liabilities) + (Revenues - Expenses) - Dividends

Therefore,

SE = (Total Assets - Total Liabilities) + (Revenues - Expenses) - Dividends

SE = ($160,000 - $75,000) + ($250,000 - $100,000) - $30,000

SE = $205000

Now,

Stockholders' equity at the end of the year

=  Net income - Dividend + Assets - Liabilities

$205000  = Net income - $30,000 + $160,000- $75,000

∴ Net income = $205,000 - $55000 = $150,000

Hence,The net income reported by Maxwell Flooring for the year = $150,000  

5 0
3 years ago
Please help meeeee math​
Sergeeva-Olga [200]

Q2. By the chain rule,

\dfrac{dy}{dx} = \dfrac{dy}{dt} \cdot \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}

We have

x=2t \implies \dfrac{dx}{dt}=2

y=t^4+1 \implies \dfrac{dy}{dt}=4t^3

The slope of the tangent line to the curve at t=1 is then

\dfrac{dy}{dx} \bigg|_{t=1} = \dfrac{4t^3}{2} \bigg|_{t=1} = 2t^3\bigg|_{t=1} = 2

so the slope of the normal line is -\frac12. When t=1, we have

x\bigg|_{t=1} = 2t\bigg|_{t=1} = 2

y\bigg|_{t=1} = (t^4+1)\bigg|_{t=1} = 2

so the curve passes through (2, 2). Using the point-slope formula for a line, the equation of the normal line is

y - 2 = -\dfrac12 (x - 2) \implies y = -\dfrac12 x + 3

Q3. Differentiating with the product, power, and chain rules, we have

y = x(x+1)^{1/2} \implies \dfrac{dy}{dx} = \dfrac{3x+2}{2\sqrt{x+1}} \implies \dfrac{dy}{dx}\bigg|_{x=3} = \dfrac{11}4

The derivative vanishes when

\dfrac{3x+2}{2\sqrt{x+1}} = 0 \implies 3x+2=0 \implies x = -\dfrac23

Q4. Differentiating  with the product and chain rules, we have

y = (2x+1)e^{-2x} \implies \dfrac{dy}{dx} = -4xe^{-2x}

The stationary points occur where the derivative is zero.

-4xe^{-2x} = 0 \implies x = 0

at which point we have

y = (2x+1)e^{-2x} \bigg|_{x=0} = 1

so the stationary point has coordinates (0, 1). By its "nature", I assume the question is asking what kind of local extremum this point. Compute the second derivative and evaluate it at x=0.

\dfrac{d^2y}{dx^2}\bigg|_{x=0} = (8x-4)e^{-2x}\bigg|_{x=0} = -4 < 0

The negative sign tells us this stationary point is a local maximum.

Q5. Differentiating the volume equation implicitly with respect to t, we have

V = \dfrac{4\pi}3 r^3 \implies \dfrac{dV}{dt} = 4\pi r^2 \dfrac{dr}{dt}

When r=5\,\rm cm, and given it changes at a rate \frac{dr}{dt}=-1.5\frac{\rm cm}{\rm s}, we have

\dfrac{dV}{dt} = 4\pi (5\,\mathrm{cm})^2 \left(-1.5\dfrac{\rm cm}{\rm s}\right) = -150\pi \dfrac{\rm cm^3}{\rm s}

Q6. Given that V=400\pi\,\rm cm^3 is fixed, we have

V = \pi r^2h \implies h = \dfrac{400\pi}{\pi r^2} = \dfrac{400}{r^2}

Substitute this into the area equation to make it dependent only on r.

A = \pi r^2 + 2\pi r \left(\dfrac{400}{r^2}\right) = \pi r^2 + \dfrac{800\pi}r

Find the critical points of A.

\dfrac{dA}{dr} = 2\pi r - \dfrac{800\pi}{r^2} = 0 \implies r = \dfrac{400}{r^2} \implies r^3 = 400 \implies r = 2\sqrt[3]{50}

Check the sign of the second derivative at this radius to confirm it's a local minimum (sign should be positive).

\dfrac{d^2A}{dr^2}\bigg|_{r=2\sqrt[3]{50}} = \left(2\pi + \dfrac{1600\pi}{r^3}\right)\bigg|_{r=2\sqrt[3]{50}} = 6\pi > 0

Hence the minimum surface area is

A\bigg_{r=2\sqrt[3]{50}\,\rm cm} = \left(\pi r^2 + \dfrac{800\pi}r\right)\bigg|_{r=2\sqrt[3]{50}\,\rm cm} = 60\pi\sqrt[3]{20}\,\rm cm^2

Q7. The volume of the box is

V = 8x^2

(note that the coefficient 8 is measured in cm) while its surface area is

A = 2x^2 + 12x

(there are two x-by-x faces and four 8-by-x faces; again, the coefficient 12 has units of cm).

When A = 210\,\rm cm^2, we have

210 = 2x^2 + 12x \implies x^2 + 6x - 105 = 0 \implies x = -3 \pm\sqrt{114}

This has to be a positive length, so we have x=\sqrt{114}-3\,\rm cm.

Given that \frac{dx}{dt}=0.05\frac{\rm cm}{\rm s}, differentiate the volume and surface area equations with respect to t.

\dfrac{dV}{dt} = (16\,\mathrm{cm})x \dfrac{dx}{dt} = (16\,\mathrm{cm})(\sqrt{114}-3\,\mathrm{cm})\left(0.05\dfrac{\rm cm}{\rm s}\right) = \dfrac{4(\sqrt{114}-3)}5 \dfrac{\rm cm^3}{\rm s}

\dfrac{dA}{dt} = 4x\dfrac{dx}{dt} + (12\,\mathrm{cm})\dfrac{dx}{dt} = \left(4(\sqrt{114}-3\,\mathrm {cm}) + 12\,\mathrm{cm}\right)\left(0.05\dfrac{\rm cm}{\rm s}\right) = \dfrac{\sqrt{114}}5 \dfrac{\rm cm^2}{\rm s}

5 0
1 year ago
Khan academy similarity unit test
shusha [124]
similarity on what
6 0
3 years ago
I need help with this homework
deff fn [24]

Think how many triangles could you fit within the top of the area (vertex). So split the shape in half and you could atleast fit 4 triangles in it. So I would say 4+ maybe?

8 0
2 years ago
Other questions:
  • (Add 34 and 6) , Times 3 as an expression
    10·1 answer
  • Please help!!!! <br> 1. Cos y =6/b<br> 2. Cos y =6a<br> 3.cos y= 6b<br> 4. Cos y= b/6
    13·1 answer
  • Line a is parallel to line b. Which statement about lines a and b is true?
    8·2 answers
  • Helpppppppppppppppppppppppppppppppp
    8·1 answer
  • GIVING BRANLIEST!!!
    9·1 answer
  • Brain operation
    9·1 answer
  • Explain the difference in meaning between |-3| and -3.
    5·2 answers
  • What is 3 dived by 5
    12·1 answer
  • HELP me please.............​
    14·1 answer
  • Alexa has $300 in her bank account. Each week for 5 weeks she spends 18 dollars on things. How much money does she have after 5
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!