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3 years ago

10

What is the value of x?

2 answers:

kondaur [170]3 years ago

8 0

Because the angles are equal to each other, you can set the two quantities equal to each other and solve for x. x=20

dimulka [17.4K]3 years ago

4 0

3x+50= 6x-10
-3x= -60
X= 20

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A local factory uses a manufacturing process in which 70% of the final products meet quality standards and 30% are found to be d

frosja888 [35]

<span>Answer:
a manufacturing process has a 70% yield, meaning that 70% of the porducts are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable. ---
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8 0

3 years ago

sand falls from an overhead bin and accumulates in a conical pile with a radius that is always four times its height. suppose th

blagie [28]

Answer:

$\frac{dv}{dt} =7239.168 cm/sec$

Step-by-step explanation:

From the question we are told that:

Rate $\frac{dh}{dt}=1cm$

Height $h=12cm$

Radius $r=4h$

Generally the equation for Volume of Cone is mathematically given by

$V=\frac{1}{3}\pi r^2h$

$V=\frac{1}{3}\pi (4h)^2h$

Differentiating

$\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}$

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$\frac{dv}{dt} =7239.168 cm/sec$

7 0

3 years ago

(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13

jolli1 [7]

Answer:

$y(x)=3e^{5x}-2xe^{5x}$

Step-by-step explanation:

The given differential equation is $y''-10y'+25y=0$

The characteristics equation is given by

$r^2-10r+25=0$

Finding the values of r

$r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5$

We got a repeated roots. Hence, the solution of the differential equation is given by

$y(x)=c_1e^{5x}+c_2xe^{5x}...(i)$

On differentiating, we get

$y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)$

Apply the initial condition y (0)= 3 in equation (i)

$3=c_1e^{0}+0\\\\c_1=3$

Now, apply the initial condition y' (0)= 13 in equation (ii)

$13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2$

Therefore, the solution of the differential equation is

$y(x)=3e^{5x}-2xe^{5x}$

5 0

3 years ago

shane has 5 meters of cloth. He needs 16 meters more cloth to make some curtains. How many meters of cloth are needed to make th

Snezhnost [94]

16 + 5= 21 meters I guess

3 0

3 years ago

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VikaD [51]

Answer:

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Step-by-step explanation:

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3 years ago

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