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LekaFEV [45]
3 years ago
7

Write each fraction in its simplest form

Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0
I couldn't figure the first one out but here's the second one. I divided by 3, and it can't be simplified any more due to it being 13/17.
39/51=13/17
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In this exercise, we show that the orthogonal distance d from the plane p with equation
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Use the cross product to find the orthogonal vector, solve the parametric equation to see at which (t) the point + orthogonal vector intersects the plane, the distance is (t) * norm of vector
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3 years ago
Gina puts $ 4500 into an account earning 7.5% interest compounded continuously. How long will it take for the amount in the acco
Elza [17]

~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5150\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years \end{cases}

5150=4500e^{0.075\cdot t} \implies \cfrac{5150}{4500}=e^{0.075t}\implies \cfrac{103}{90}=e^{0.075t} \\\\\\ \log_e\left( \cfrac{103}{90} \right)=\log_e(e^{0.075t})\implies \log_e\left( \cfrac{103}{90} \right)=0.075t \\\\\\ \ln\left( \cfrac{103}{90} \right)=0.075t\implies \cfrac{\ln\left( \frac{103}{90} \right)}{0.075}=t\implies\stackrel{\textit{about 1 year and 291 days}}{ 1.8\approx t}

4 0
1 year ago
Pls answer! i will mark brainliest!
Volgvan

Answer:

3 inches

Step-by-step explanation:

(14+2x) × (15+2x) = 2(14×15)

210 +30x +28x + 4x² = 420

4x² + 58x - 210 = 0

2x² + 29x - 105 = 0

2x² + 35x - 6x - 105 = 0

x(2x + 35) - 3(2x + 35) = 0

(x - 3)(2x + 35) = 0

x = 3, -35/2(not possible)

3 0
3 years ago
Plzzzzz hellllp meeeee plz
iren [92.7K]

Answer:

(7, 5)

Step-by-step explanation:

When reflecting over the x-axis, the only position that moves is the y-coordinate as it is going above the axis it was previously below. Since point F's original position was (7, -5) it is 5 spaces away from the x-axis. We move 5 places up to be even with the x-axis, then move up another 5 places to reflect the point to get F'.

Hope this Helps!

5 0
3 years ago
Read 2 more answers
What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HI
Lera25 [3.4K]
We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere

if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere

if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere

examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area

2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
volume is > surface area

3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is <  surface area
7 0
3 years ago
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