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dimaraw [331]
2 years ago
12

A statue is 7 - feet tall. How many inches tall is the statue? 1 foot = 12 inches

Mathematics
1 answer:
Mrac [35]2 years ago
5 0
So 1 foot is 12 inches so 7 feet is 12*7 inches so it should be 84...
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A group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250. The wholesale
stepladder [879]

Answer:

The required equilibrium point is (356.538,58.769)

Step-by-step explanation:

The two points on your demand equation are : (300,104) and (250,144)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the demand equation for the given problem, find slope using the above two points :

\implies Slope=\frac{144-104}{250-300}\\\\\implies Slope = -\frac{4}{5}=-0.8

And the y - intercept is : y = -0.8x + b

Find the value of b using any point. Let us take (250,144)

144 = -0.8 × 250 + b

⇒ b = 144 + 200

⇒ b = 344

So, the y-intercept is : y = -0.8x + 344

The two points on your supply equation are : (225,88) and (315,68)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the supply equation for the given problem, find slope using the above two points :

\implies Slope=\frac{68-88}{315-225}\\\\\implies Slope = -\frac{2}{9}

And the y - intercept is :

y = -\frac{2}{9}x + b

Find the value of b using any point. Let us take (225,88)

88 = -\frac{2}{9}\times 225 + b\\\\\implies b = 88 + 50\\\\\implies b = 138

So, the y-intercept is :

y = -\frac{2}{9}x + 138

To find the equilibrium point, solve both the y-intercepts of the demand equation and the supply equation :

⇒ x = 356.538 and y = 58.769

Hence, the required equilibrium point is (356.538,58.769)

8 0
3 years ago
The differential equation of a certain system is 20⁢y′⁢′+c⁢y′+80⁢y=0
Sholpan [36]

Answer:

c=80

Step-by-step explanation:

Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.

So let's see that characteristic equation:

20⁢r^2+c⁢r+80⁢=0

The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.

a=20

b=c

C=80

c^2-4(20)(80)

We want this to be 0.

c^2-4(20)(80)=0

Simplify:

c^2-6400=0

Add 6400 on both sides:

c^2=6400

Take square root of both sides:

c=80 or c=-80

Based on further reading damping equations in form

a⁢y′⁢′+b⁢y′+C⁢y=0

should have positive coefficients with b also having the possibility of being zero.

5 0
3 years ago
Is this a right triangle?
andrey2020 [161]

Answer:

D ; Yes because the Pythagorean theorem works

Step-by-step explanation:

The measure of all three sidelengths make a right triangle

5 0
3 years ago
What is 54 in the ratio 5:11:2
qwelly [4]
5/22 I’m pretty that’s the answer
6 0
2 years ago
The product of two numbers is 161 , one of number is 7,find the other number. ​
Diano4ka-milaya [45]

let the other number be " n "

now, according to above condition :

  • n × 7 = 161

  • n = 161 ÷ 7

  • n = 23

therefore, the other number would be 23.

4 0
3 years ago
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