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Rufina [12.5K]
3 years ago
12

Evaluate 8y when y=4

Mathematics
1 answer:
earnstyle [38]3 years ago
3 0
32 cause it’s 32 it be 32 boo
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The expression 1000(1.1)^t represents the value of a $1000 investment that earns 10% interest per year, compounded annually for
torisob [31]
After 4 years
the value = 1000 × (1.1)⁴
the value = 1000 × 1.4641
the value = 1464.1
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3 years ago
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The slope of the tangent line to the curve x^3y+y^2-x^2=5 at the point (2,1) is
zheka24 [161]

Answer:

-4/5

Step-by-step explanation:

To find the slope of the tangent to the equation at any point we must differentiate the equation.

x^3y+y^2-x^2=5

3x^2y+x^3y'+2yy'-2x=0

Gather terms with y' on one side and terms without on opposing side.

x^3y'+2yy'=2x-3x^2y

Factor left side

y'(x^3+2y)=2x-3x^2y

Divide both sides by (x^3+2y)

y'=(2x-3x^2y)/(x^3+2y)

y' is the slope any tangent to the given equation at point (x,y).

Plug in (2,1):

y'=(2(2)-3(2)^2(1))/((2)^3+2(1))

Simplify:

y'=(4-12)/(8+2)

y'=-8/10

y'=-4/5

5 0
2 years ago
Solve for W
umka2103 [35]

In this equation w = -1.1

In order to find this, get all w values to the right side and all numbers to the left side.

-2.27 + 9.1w + 1.3w = -3.4w - 17.45 ----> combine like terms

-2.27 + 10.4w = -3.4w - 17.45 ----> add 3.4w to both sides

-2.27 + 13.8w = -17.45 ----> add 2.27 to both sides

13.8w = -15.18 -----> divide both sides by 13.8

w = -1.1

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3 years ago
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Function g is defined below.
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Rule: if you have graph of function y=f(x) and a>0, then:
1. y=f(x-a) is translation a units right;
2. y=f(x+a) is translation a units left;
3. y=f(x)-a is translation a units down;
4. y=f(x)+a is translation a units up;

Since g(x)=f(x+2)-5, then firstly you have to translate the graph of function y=f(x) two units left and secondly 5 units down.


6 0
3 years ago
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You want to know the side length of the square swimming pool. Explain how you can use the perimeter then find the side length to
olganol [36]

Its a square pool and its perimeter is 100 yards.

We know that a square has 4 sides with the same length so we can give a square perimeter by the sum of their 4 sides

Lets call the side "l" and since we have 4 of them we need to sum it 4 times

l + l + l + l = perimeter

4l = perimeter

We know the perimeter

4l = 100

Divide both sides by 4

4l/4 = 100/4

l = 25

So the side length is equal to 25 yards

4 0
3 years ago
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