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2 years ago

Question: Write a function for the line with a slope of 5 that passes through the point (2, 1).

2 answers:

6 0

Y=5x-9

Explanation:
y-y1=m(x-x1) Substitute the numbers in
y-1=5(x-2) Distribute the 5
y-1=5x-10 Add the 1 to both sides
y=5x-9

galben [10]2 years ago

6 0

The answer is y=5x-9

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1 The metal used to make a coin is a mixture of steel and copper. The ratio mass of steel

Masteriza [31]

$\huge{ \underline{ \underline{ \gray{ \bf{Solution:}}}}}$

Let,

Mass of the steel be 108x
Mass of the copper be 7x
Then, Total mass = 108x + 7x = 115x

Given,

Total mass of the coin = 230 mg

That means,

⇛ Total mass of the coin = 230 mg

⇛ 115x = 230 mg

⇛ x = 230 mg/115

⇛ x = 2 mg

Then,

Mass of the steel = 108(2) = 216 mg
Mass of the copper = 7(2) = 14 mg

☁️ ANSWER - 14 mg (Mass of copper)

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3 years ago

segment BC is an are of a circle with radius 30.0 cm, and point P is at the center of curvature of the arc Segment DA is an arc

Elan Coil [88]

Answer:

The magnetic field is $B = 3.87 *10^{-6} \ T$

Direction is inward

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

From the question we are told that

The radius of BC is $r_{BC} = 30 \ cm = 0.30 \ m$

The radius of DA is $r _{DA} = 20 \ cm = 0.20 \ m$

The length of CD is $r_{CD} = 10 cm = 0.1 \ m$

The length of AB is $r_{AB} = 10 cm = 0.1 \ m$

The current is $I = 11.4A$

The magnetic field is mathematically represented as

$B = B_{BC} + B_{DA} + B_{CD} + B_{AB}$

$B = \frac{\mu_o I}{4 \pi } [ \frac{\theta_{DA}}{r_{DA}} + \frac{\theta_{BC}}{r_{BC}}+ \frac{\theta_{CD}}{r_{CD}}+\frac{\theta_{AB}}{r_{AB}}]$

Where

$\theta_{BC} = \theta_{DA} = \frac{2\pi}{3}$

Where $\frac{2 \pi}{3} = 120^o$

$\theta_{CD} = \theta_{AB} = 0^o$

$B = \frac{\mu_o I}{4 \pi } [ \frac{\frac{2\pi}{3} }{0.20} - \frac{\frac{2\pi}{3}}{0.30}}+ \frac{0}{0.10}+\frac{0}{0.10}]$

$B = 3.87 *10^{-6} \ T$

The direction is into the page

This because the magnitude of the magnetic field due to arc BC whose direction is outward is less than that of DA whose direction is inward

This is because according to Fleming's Left Hand Rule the direction of current is perpendicular to the direction of magnetic field so since current in arc BC and DA are moving in opposite direction their magnetic field will also be moving in opposite direction

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3 years ago

Sabrina is tracking the growth rates of a colony of ants and of a bee hive. From her research, she has developed a function to r

WITCHER [35]

Sabrina should be careful of those ants and bees.

5 0

3 years ago

If 75% of x is 150, what is the value of x?

vagabundo [1.1K]

I'm not sure if this is correct but you would put it into an equation while you solve for X. so 0.75x=150 or equivalently would be like (3/4)x=150 Then after that you would divide both sides by 0.75 or 3/4

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3 years ago

Find the dimensions of a rectangle with perimeter 112 m whose area is as large as possible. step 1 if a rectangle has dimensions

Veronika [31]

Please use the solution below:
Let P = perimeter, A = area
As provided above, a = xy and
We know that the formula to solve for the perimeter of a rectangle is P = 2x + 2y. Using the given 112m, we can solve the perimeter using the formula:
112 = 2x + 2y
56 = x + y

x = 56-y or y = 56-x
Let's solve the perimeter in terms of y using the formula below:
A = (56-y)(y)
Find the derivative of A = 56-y^2 to get the value of y.
dA/dy = 56-2y = 0
y = 56/2
y = 28
To find X, substitute the value of y in the equation x = 56 - y.
x = 56 - 28
Therefore, x = 28.
We can conclude that the figure is not a rectangle but a square.

7 0

3 years ago