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3 years ago

Write the equation of the line fully simplified slope-intercept form.

Mathematics

2 answers:

ivann1987 [24]3 years ago

6 0

Answer:

the eq is y=-x +2 answer

ehidna [41]3 years ago

5 0

Answer:

y = -1x + 2

Step-by-step explanation:

y=mx+b
going down to the right negative slope
rise over run so 1/1 makes the slope 1
negative 1 for the slope
b is the y-intercept and the line lands on the point (0,2)

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A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 10.4

vlabodo [156]

Answer:

Therefore the diameter of the hole is $1.94 \times 10^{-3}$ m.

Step-by-step explanation:

Bernoulli's equation,

$P_1+\frac12 \rho v^2_1+\rho g h_1= P_2+\frac12 \rho v^2_2+\rho g h_2$

P₁ = P₂= atmospheric presser

$\rho$ = density

$\frac12 \rho v^2_1+\rho g h_1= \frac12 \rho v^2_2+\rho g h_2$ [since P₁ = P₂]

$\Rightarrow\rho (\frac12 v^2_1+ g h_1)= \rho(\frac12 v^2_2+ g h_2)$

$\Rightarrow\frac12 v^2_1+ g h_1= \frac12 v^2_2+ g h_2$

$\Rightarrow\frac12 v^2_2-\frac12 v^2_1=g h_1- g h_2$

$\Rightarrow v^2_2- v^2_1=2g h$ [ $h_1-h_2=h$ ]

Here $v_1\approx 0$

$\Rightarrow v^2_2=2g h$

$\therefore v_2=\sqrt {2gh$

Here g= 9.8 m/s² , h = 10.4 m

The velocity of water that leaves from the hole $v_2$ = $\sqrt {2\times 9.8\times 10.4}$ m/s

=14.28 m/s.

Given, the rate of flow from the leak is $2.53\times 10^{-3}$ $m^3/min$

$=\frac{2.53\times 10^{-3}}{60}$ $m^3/s$

Let the diameter of the hole be d.

Then the cross section area of the hole is $=\pi (\frac d2)^2$

We know that,

The rate of flow = Cross section area × speed

$\Rightarrow \frac{2.53\times 10^{-3}}{60} =\pi (\frac d2)^2\times 14.28$

$\Rightarrow (\frac d2)^2=\frac{2.53\times 10^{-3}}{60\times 14.28\times \pi}$

$\Rightarrow d= 1.94 \times 10^{-3}$

Therefore the diameter of the hole is $1.94 \times 10^{-3}$ m.

4 0

3 years ago

14a - (2a +9)=2/3 (12a-18)

Dmitrij [34]

Answer: a=-0.75

Step-by-step explanation:

14a - (2a +9)=2/3 (12a-18)

14a - 2a -9=2/3 * 6(2a-3)

12a-9=2*6/3 (2a-3)

12a-9=2*2(2a-3)

12a-9=4(2a-3)

12a-9=8a-12

4a-9=-12

4a=-3

a=-3/4

a=-0.75

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2 years ago

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stellarik [79]

Answer: plane a because it was 10.46 miles away

Step-by-step explanation:

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3 years ago

Kipp is making bird houses for a park. The guidelines tell him how many of each wooden in shape to use on one birdhouse .If he f

ankoles [38]

The answer to this is A) For 8 birdhouses, he will need 16 trapezoids.

(B = 12*4 is 48 not 16.) (C = A 2 to 1 ratio.) (D = a 1 to 2 ratio.) Hope that helps!

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3 years ago

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The simple interest I on an investment of p dollars at an interest rate r for t years is given by I=prt. Find the time it would

Nikitich [7]

Answer:

Step-by-step explanation:

You have the formula written correctly, so now we just need to fill it in with what we have. Our principle, or initial investment, is 21,000; our interest rate of 4.6% as a decimal (always as a decimal!) is .046; and our interest earned is 900. We need to find t. Setting up with what we have:

21000(.046)(t) = 900 and

966t = 900 and

t = .931 years

.9 of a year is the same as 10.8 months or so.

6 0

3 years ago

Write the equation of the line fully simplified slope-intercept form.​

Write the equation of the line fully simplified slope-intercept form.