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Margaret [11]
3 years ago
7

\times (0.15)" alt="(60) + (0.07) \times (0.15)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Leona [35]3 years ago
8 0

Answer:

First, you multiply 0.07 by 0.15

60 + (0.07) * (0.15)

60 + 0.0105

= 60.0105

I hope this helps!

-Mikayla


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Consider the equations y = √x and y = x^2 - 1
lord [1]
<h3>Answer:</h3>

(x, y) ≈ (1.49021612010, 1.22074408461)

<h3>Explanation:</h3>

This is best solved graphically or by some other machine method. The approximate solution (x=1.49, y=1.221) can be iterated by any of several approaches to refine the values to the ones given above. The values above were obtained using Newton's method iteration.

_____

Setting the y-values equal and squaring both sides of the equation gives ...

... √x = x² -1

... x = (x² -1)² = x⁴ -2x² +1 . . . . . square both sides

... x⁴ -2x² -x +1 = 0 . . . . . polynomial equation in standard form.

By Descarte's rule of signs, we know there are two positive real roots to this equation. From the graph, we know the other two roots are complex. The second positive real root is extraneous, corresponding to the negative branch of the square root function.

8 0
3 years ago
If angle EFH(5x+1)’ angle HFG(62 degrees) and angle EFG (18x+11) find each measurement
zloy xaker [14]

Answer:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

Step-by-step explanation:

The diagram showing the angles has been attached to this response.

From the diagram, it can be deduced that;

Angle EFG = angle EFH + angle HFG

=> ∠EFG = ∠EFH + ∠HFG                -------------------(i)

From the question:

∠EFH = (5x + 1)°                    -------------(ii)

∠HFG = 62°                          -------------(iii)

∠EFG = (18x + 11)°                 -------------(iv)

<em>Substitute these values into equation (i) as follows;</em>

(18x + 11) = (5x + 1) + 62

=> 18x + 11 = 5x + 1 + 62

<em>Collect like terms and solve for x</em>

18x - 5x = 1 + 62 - 11

13x = 52

x = 4

Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)

∠EFH = (5x + 1)°

∠EFH = (5(4) + 1)°

∠EFH = (20 + 1)°

∠EFH = 21°

∠HFG = 62°              [<em>Does not depend on x</em>]

∠EFG = (18x + 11)°

∠EFG = (18(4) + 11)°

∠EFG = (72 + 11)°

∠EFG = 83°

<u>Conclusion:</u>

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

8 0
3 years ago
(Easy) For the following quadratic function, find the axis of symmetry, the vertex and the y-intercept. y = x^2 + 12x + 32
hammer [34]

Answer:

y  ( \times  + 6) 2 - 4

7 0
3 years ago
Read 2 more answers
I NEED HELP PLEASE !!!!
Anon25 [30]

Answer: (-9,11)

So the line starts at the left on -9 and ends at the right at 11 so then your answer would be (-9,11)

6 0
3 years ago
Suppose that c is the center of a circle with radius 13 in and a point p is at a distance of 32 in from
pantera1 [17]
The sine of 1/2 the angle = 13 / 32

so this angle =  23.9695 degrees

Therefore the required angle = 2 * 23.9695  =  47.939  to 3 DP's. 

3 0
3 years ago
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