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ziro4ka [17]
3 years ago
13

What is 14 1/4 minus 6 4/5​

Mathematics
2 answers:
klemol [59]3 years ago
7 0

<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>:</em><em>)</em>

castortr0y [4]3 years ago
6 0

Answer: 7 9/20

<u>Turn 14 1/4 into an Improper Fraction</u>

Multiply 14*4 and get 56. Now add 1 and get 57.

14 1/4 = 57/4

<u>Turn 6 4/5 into an Improper Fraction</u>

Multiply 6*5 and get 30. Now add 4 and get 34.

6 4/5 = 34/5

Your new problem should be: 57/4 - 34/5

<u>Subtract</u>

57/4 - 34/5 = 149/20

<u>Turn 149/20 into a Mixed Number</u>

149 ÷ 20 = 7.45

7.45 = 7 9/20

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Write down in terms of n, an expression for the nth term
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Answer:

Solution,

First term (a) = 25

Common difference (d) = Second term - first term = 20 - 25 = -5

Now,

nth term = a + (n - 1)d = 25 + (n - 1) (-5) = 25 - 5n +5 = 30 - 5n

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Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc
In-s [12.5K]

Answer:

\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

L^2 = y^2 + x^2

\implies L = \sqrt{y^2 + x^2},

Differentiating with respect to time (t),

\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})

=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)

=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})

=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})

Here,

\frac{dy}{dt}=-6\text{ ft per sec}

Also, \frac{dL}{dt} = 0           ( Ladder length = constant ),

\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0

-6x + y\frac{dy}{dt}=0

y\frac{dy}{dt}=6x

\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Which is the required notation.

8 0
3 years ago
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Scorpion4ik [409]

Answer:g(X)=2x^2-10

Step-by-step explanation:

If a function f(x) is translated 'c' units down then the equation of the translated function be f(x)-c

Here, f(x) is translated 2 units down to obtain g(x).

Hence, we have

g(x)=f(x)-2

   =2x^2-8-2

  =2x^2-10

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3 years ago
Find volume with full working out pls asap
aev [14]
<h3>Answer: approximately 2076.56001909938 cubic cm</h3>

====================================================

Work Shown:

V1 = volume of cylinder

V2 = volume of cone on top

V3 = V1+V2 = volume of entire 3D solid figure

-----------

V1 = volume of cylinder

V1 = pi*r^2*h

V1 = pi*8.75^2*5.8

V1 = 1395.06348773471 which is approximate

----------

V2 = volume of cone

V2 = (1/3)*pi*r^2*h

V2 = (1/3)*pi*8.75^2*8.5

V2 = 681.49653136466  which is approximate

----------

V3 = V1+V2

V3 = 1395.06348773471+681.49653136466

V3 = 2076.56001909938

Answer is approximate

The units for the volume are in cubic cm.

5 0
3 years ago
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