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3 years ago

I need help ASAP!!!!!!!

Mathematics

1 answer:

aleksandrvk [35]3 years ago

8 0

Answer:

15.5 cm

Step-by-step explanation:

You want the difference between the values of x that make y=0. Solving for those values, we get ...

0 = -0.1(x -1)^2 +6

0 = (x -1)^2 -60 . . . . . . . . . multiply by -10

60 = (x -1)^2 . . . . . . . . . . . add 60

±√60 = x -1 . . . . . . . . . . . . take the square root

At this point, it should be obvious that the difference between the two solutions will be 2√60 = 4√15. If it is not, we can find the two solutions and take their difference:

x1 = 1 +√60

x2 = 1 -√60

Then the difference is ...

x1 -x2 = (1 +√60) -(1 -√60) = 2√60

60 has a square factor (4), so we can simplify this radical to ...

x1 -x2 = 4√15 ≈ 15.4919 ≈ 15.5

The ends of the rainbow are about 15.5 cm apart.

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Given:
<span>F= $335,000
n = 30 years at a fixed rate of i = 7.5%

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8 0

3 years ago

Which expression represents the volume of the pyramid? One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3 One-th

anyanavicka [17]

Answer:

1/3(5.2)h cm³

Step-by-step explanation:

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?

One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3

One-third(5.2)h cm3 StartFraction 1 Over 3 h EndFraction(5.2)h cm3

Volume of the pyramid = 1/3 × area × height

Area = 5.2 cm²

Height = h cm

Volume of the pyramid = 1/3 × 5.2 cm² × h cm

= 1/3(5.2)h cm³

7 0

3 years ago

Read 2 more answers

One number is 10 less than 5 times the second number. Their sum is 26. Find the numbers.

GREYUIT [131]

Answer:

Step-by-step explanation:

a = 5b-10

a+b = 26

(5b-10)+b = 26

b = 6

a= 5b + 10 = 40

8 0

3 years ago

Read 2 more answers

9a+b-8c-2(a+3b-c) simplified

alekssr [168]

Answer:

The correct simplified answer for 9a + b - 8c - 2 (a + 3b - c) would be 7a - 5b - 6c

Step-by-step explanation:

Hope this helps! Sorry if there is no explanation, I am kinda in a rush.

5 0

3 years ago

Read 2 more answers

The curve given by x=sin(t),y=sin(t+sin(t)) has two tangent lines at the point (x,y)=(0,0). List both of them in order of increa

SOVA2 [1]

Answer:

y = 0

y =2x

Step-by-step explanation:

Given parametric equations:

x (t) = sin (t)

y (t) = sin (t + sin (t))

The slope of the curve at any given point is given by dy / dx we will use chain rule to find dy / dx

(dy / dx) * (dx / dt) = (dy / dt)

(dy / dx) = (dy / dt) / (dx / dt)

Evaluate dx / dt and dy / dt

dx / dt = cos (t)

dy / dt = cos (t + sin (t)) * (1+cos (t))

Hence,

dy / dx = (1+cos(t))*cos(t + sin (t))) / cos (t)

@Given point (x,y) = 0 we evaluate t

0 = sin (t)

t = 0 , pi

Input two values of t and compute dy / dx

@ t = 0

dy / dx = (1 + cos (0))*cos (0 + sin (0))) / cos (0)

dy / dx = (1+1)*(1) / (1) = 2 @ t = 0

@t = pi

dy / dx = ( 1 + cos (pi))* cos (pi + sin (pi)) / cos (pi)

dy / dx = (1-1) * (-1) / (-1) = 0 @ t = pi

The corresponding gradients are 0 and 2 in increasing order and their respective equations are:

y = 2x

y = 0

5 0

3 years ago