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Alenkinab [10]
2 years ago
10

Jonathan found a strange piece of metal. He took it to a science lab and found that the metal is 37.5% gold and 62.5% nickel. Wh

at is the ratio of gold to nickel
A. 3 to 5
B. 7 to 9
C. 7 to 12
D. 9 to 15
Mathematics
1 answer:
ollegr [7]2 years ago
5 0

Answer:

This ratio is 0.6.

Step-by-step explanation:

This ratio is:

gold      37.5%

-------- = ----------- = -0.6

nickel     62.5%

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Where does the normal line to the parabola y = x − x2 at the point (1, 0) intersect the parabola a second time?
Ksivusya [100]
Find the line that is normal to the parabola at the given point
remember that normal means perpendicular
perpendicular lines have slopes that multiply to -1
we can use point slope form to write the equation of the line since we are given the point (1,0)

we just need the slope

take derivitive
y'=1-2x
at x=1
y'=1-2(1)
y'=1-2
y'=-1

the slope is -1
the perpendicular of that slope is what number we can multiply to get -1
-1 times what=-1?
what=1
duh
so
point (1,0) and slope 1
y-0=1(x-1)
y=x-1 is da equation

solve for where y=x-1 and y=x-x² intersect

set equatl to each other since equal y
x-1=x-x²
x²-1=0
factor difference of 2 perfect squares
(x-1)(x+1)=0
set to zero

x-1=0
x=1
we got this point already

x+1=0
x=-1
sub back
y=-1-(-1)²
y=-1-(1)
y=-1-1
y=-2

it intersects at (-1,-2)
7 0
3 years ago
Write the first 4 terms in the sequence defined by the explicit rule f(n)=n^2 - 5 *n^2 means n squared
Deffense [45]
The question did not spesify the stating value for n.

Assuming, n = 0 is the starting value.

1st term is when n = 0:
f(0) = (0)^2 - 5 = 0 - 5 = -5

2nd term: f(1) = (1)^2 - 5 = 1 - 5 = -4

3rd term: f(2) = (2)^2 - 5 = 4 - 5 = -1

4th term: f(3) = (3)^2 - 5 = 9 - 5 = 4

Therefore, the first 4 terms are: -5, -4, -1, 4.
6 0
3 years ago
A helicopter flies over a city. The helicopter changes its altitude by
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Answer:

The total change in the altitude is 58.3

Step-by-step explanation:

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8 0
2 years ago
Which of the following is not an equation of a simple, even polynomial function? y = | x | y = x2 y = x3 y = -x2
den301095 [7]

Answer:

  • y = | x |
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Step-by-step explanation:

The absolute value function prevents the expression from being a polynomial. The degree of 3 in y^3 is an odd number so that polynomial function will not be even.

5 0
3 years ago
Read 2 more answers
1. The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triang
lana66690 [7]

Answer:

h=\frac{\sqrt{3}}{2}b\ units    

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides and three equal interior angles (the measure of each interior angle is equal to 60 degrees)

see the attached figure to better understand tyhe problem

Let

h ----> the height of an equilateral triangle

b ---> the length side of an equilateral triangle

In the right triangle ABD

Applying the Pythagorean Theorem

AB^2=AD^2+BD^2

substitute the given values

b^2=(\frac{b}{2})^2+h^2  

b^2=\frac{b^2}{4}+h^2

h^2=b^2-\frac{b^2}{4}

h^2=\frac{3}{4}b^2

square root both sides

h=\frac{\sqrt{3}}{2}b\ units      

7 0
2 years ago
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