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3 years ago

If anyone is good at math and knows how to do this problem please answer. I will give more points

Mathematics

1 answer:

Dominik [7]3 years ago

4 0

Answer:

1, 5, 13, 29, 61

Step-by-step explanation:

2^(n+1) - 3

n = 1

2^(1+1) - 3

2² - 3

4 - 3

n = 2

2^(2+1) - 3

2³ - 3

8 - 3

n = 3

2^(3+1) - 3

2³ - 3

16 - 3

n = 4

2^(4+1) - 3

2⁵ - 3

32 - 3

n = 5

2^(5+1) - 3

2⁶ - 3

64 - 3

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Given the line y=3/5x+2 find the perpendicular line passing through the point (12,-7)

Monica [59]

Answer:

y=-5/3x+13.

Step-by-step explanation:

As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.

7 0

2 years ago

Mr. Jones' other friend Ms. O'Neill has "x" meters of fencing, what is the maximum area in square meters she can have?

Alexus [3.1K]

Answer:

$Max\ Area = \frac{x^2}{16}$

Step-by-step explanation:

Given

$P = x$ ---- the perimeter of fencing

Required

The maximum area

Let

$L \to Length$

$W \to Width$

So, we have:

$P = 2(L + W)$

This gives:

$2(L + W) = x$

Divide by 2

$L + W = \frac{x}{2}$

Make L the subject

$L = \frac{x}{2} - W$

The area (A) of the fence is:

$A = L * W$

Substitute $L = \frac{x}{2} - W$

$A = (\frac{x}{2} - W) * W$

Open bracket

$A = \frac{x}{2}W - W^2$

Differentiate with respect to W

$A' = \frac{x}{2} - 2W$

Set to 0

$\frac{x}{2} - 2W = 0$

Solve for 2W

$2W = \frac{x}{2}$

Solve for W

$W = \frac{x}{4}$

Recall that:

$L = \frac{x}{2} - W$

$L = \frac{x}{2} - \frac{x}{4}$

$L = \frac{2x- x}{4}$

$L = \frac{x}{4}$

So, the maximum area is:

$A = L * W$

$A = \frac{x}{4}*\frac{x}{4}$

$Max\ Area = \frac{x^2}{16}$

8 0

2 years ago

Tell whether the angles are complementary or supplementary. Then find the value of x

RSB [31]

Answer:

Complementary, x=60.

Step-by-step explanation:

The angles are complementary because they add up to 90 degrees, opposing supplementary angles, which add up to 180 degrees. To find x, we need to form an equation to represent the problem. We know the two angles add up to 90 degrees, so we can use that to make the equation.

(x-30)+x=90 Simplify.

x-30+x=90

2x-30=90 Add 30 to both sides.

2x=120 Divide both sides by 2.

x=60

We can also find the value of the angles by plugging in x.

Angle 1: (x-30)

(60-30)

30 degrees

Angle 2: x

60 degrees

(You can also notice that the two angles add up to 90 degrees, which is another way of telling that the angles are complementary.)