Determine if the sequence 0.2 comma 1 comma 5 comma 25 comma... is arithmetic or geometric. Then identify the next term in the sequence.

A
geometric; 125

B
arithmetic; 75

C
arithmetic; 125

D
geometric; 75

The Pythagora´s Theorem, tell us that in a right triangle, the square of the hypothenuse (L²) is equal to :

L² = x² + y²

x  and y are the legs.

The solution is

dy/dt = 48.9 ft/s

We know that in a right triangle:

L²  = x² + y²      (1)

If the helicopter lifts off vertically, that means x ( the horizontal distance between the observing man and the helicopter, maintains constant).

According to that, if we get derivatives with respect to time on both sides of equation (1) we get:

2×L× dL/dt   = 0 + 2×y×dy/dt       (2)

And

L = √ ( 58)² + ( 113)²   = √12769 + 3364    = 127.02 ft

L = 127.02 ft   when y = 113 ft

Now in equation (2) we know:

y = 113 ft    dy/dt = 55 ft/s   L = 127.02  we look for dL/dt

Then by substitution

2×127.02 × dL/dt = 2×113×55

254.04× dL/dt   =  12430

dL/dt  = 48.92

dL/dt = 48.9 ft/s

Related Link : https://brainly.com/question/14988219?

Answer: y=3x-5

Step-by-step explanation: Find the slope of the original line. slope is m=3. Then use the point slope formula  [tex]y-y1=m(x-x1)[/tex] to find the line parallel to y=3x+4. Parallel lines have the same slope. so you substitute the given point (x1,y1)(1,-2) and slope m=3  into the point slope formula.

y-(-2)=3(x-1)  

y+2=3x-3  

y=3x-5

Answer:

A = L x W

A = 3 3/4 x 1 1/2

A = (you do the math, 3 3/4 x 1 1/2 : )

Step-by-step explanation:

Hope this helps! Please gie brainliest

Answer:

The formula to find the AREA of a rectangle is as shown A=l x w

L meaning Lenght, which in this case is 3 [tex]\frac{3}{4}[/tex] ft.

W meaning width, which in this case is 1 [tex]\frac{1}{2}[/tex] ft.

Now that you know what the length and the width are, you want to multiply them like the formula A = l x w

A= 3 [tex]\frac{3}{4}[/tex]  x 1 [tex]\frac{1}{2}[/tex]

You want to create the fractions into a mixed number.

3 3/4 = 15/4

1 1/2 = 3/2

Now when you multiply it should look like this :

[tex]\frac{15*3 }{4*2}[/tex]  or 15x3 / 4x2

This will get you the mixed number of 45/8

Then you can covert the mixed number to a whole number which will be

5 5/8

This will get you the final answer of 5 [tex]\frac{5}{8}[/tex] ft. This is your area.

I hope this helped.

Answer:

what equation?

Step-by-step explanation:

Answer: B) 19

Step-by-step explanation:

To solve this problem, simply plug in -4 for x:

[tex]f(x)=x^{2} +3\\f(x)=(-4)^{2} +3\\f(x)=16+3\\f(x)=19[/tex]

Hope it helps :) and let me know if you want me to elaborate/explain further

Answer:

D. -13

Step-by-step explanation:

If you substitute -4 in for x you get -4^2+3, so when you simplify you get -16+3 which equals -13.

f(x)=x^2+3

f(-4)= -4^2+3

f(-4)= -16+3

f(-4)= -13

Answer:i think is A

Step-by-step explanation:

I believe your answer is 2/10,3/10,4/10,5/10,6/10,7/10.

4/5 can be converted to 8/10 by multiplying the denominator and the numerator by 2 so the new numbers are 1/10 and 8/10 the numbers that are between that are 2/10,3/10,4/10,5/10,6/10,7/10.

Answer:

[tex] {x}^{2} + 2x + 2 = 0 \: no \: solution \\x + 5 = 0 - \: \: \: \: \: x = - 5 \\ sox = - 5 [/tex]

Answer:

8.50x plus 13y equals 160

Answer:

5x+y=5xy

Step-by-step explanation:

Answer:  The correct answer is:  " 11 .1 " .

________

Step-by-step explanation:

Given:

" [tex]1.9h + 3.5 =[/tex] ? " ;  Solve:  when: " [tex]h = 4[/tex] " ;

________

To find the answer:

We plug in "4" for the value for " [tex]h[/tex] " ;

and performed the mathematical operations indicated.

________

 →   " [tex]1.9h + 3.5 =[/tex] [tex](1.9*4) + 3.5 = 7.6 +3.5 = 11.1[/tex] " .

________

The correct answer is:  " 11 .1 " .

________

Hope this is helpful to you!

 Best wishes!

________

Answer:

Explanation:

I don't really understand what just happened to my calculator but i searched on goo gle but it's the correct answer..

(;ŏ﹏ŏ)(ㆁωㆁ)

Use [tex]\sec\theta = \dfrac{1}{\cos{\theta}}[/tex]  to get

    [tex]\sec\theta -\cos{\theta}= \dfrac{1}{\cos{\theta}}-\cos(\theta})[/tex]

Then find a common denominator:

    [tex]\dfrac{1}{\cos{\theta}}-\cos(\theta}) = \dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta}[/tex]

But now make that one fraction:

    [tex]\dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta} = \dfrac{1 - \cos^2\theta}{\cos{\theta}}[/tex]

But that's just sin^2 on the top

    [tex]\dfrac{1 - \cos^2\theta}{\cos{\theta}} = \dfrac{sin^2\theta}{\cos{\theta}} = \dfrac{sin\theta\cdot sin\theta}{\cos{\theta}}[/tex]

Split that fraction up:

    [tex]=\dfrac{ sin\theta}{\cos{\theta}}\cdot sin\theta[/tex]

And tan = sin/cos

    [tex]=\tan\theta\cdot sin\theta[/tex]

Answer:

32,500

Step-by-step explanation:

The bat weighs 10kg.

Two equations can be gotten from the question:

5a + 4b = 58 equation 1

4a + 5b = 50 equation 2

Where:

a = weight of bats

b = weight of balls

The two equations are simultaneous equations and would be solved using the elimination method.

In order to determine the weight of balls, take the following steps:

Multiply equation 1 by 4 and equation 2 by 5

20a + 16b = 232 equation 3

20a + 25b = 250 equation 4

Subtract equation 3 from 4

18 = 9b

Divide both sides of the equation by 9

b = 2kg

In order to determine the weight of bats, take the following steps:

Replace for b in equation 1

5a + 4(2) = 58

5a + 8 = 58

5a = 58 - 8

5a = 50

Divide both sides of the equation by 5

a = 10kg

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Answer:

B

Step-by-step explanation:

Answer:

option 3 left bottom corner

Step-by-step explanation:

Answer:

7.0681, 7.618, 7.6801, 7.681

Step-by-step explanation:

from the least (smallest) to the greatest (largest)

7.0681, 7.618, 7.6801, 7.681

we first substitute the x

y= -2(-2-1)

=6

and then use a calculator to do the sum

which gives us 6

y= -2(-1-1)

= 4

y= -2(0-1)

=2

y= -2(1-1)

=0

y= -2(2-1)

=-2

Answer: the answer is

Step-by-step explanation:

659,983

to the nearest hundred you look at the tenths spot, if above 5, the hundredths spot rounds up one, if its under 5, the hundreth spot stays the same

659,983

round up

660,000

4 ZEROS.

Answer:

Yeah!!!you're right, it's -7

Step-by-step explanation:

-2c -5c+8-4 = 53

-7c +4 = 53

-7c = 53 - 4

-7c = 49

c = -7

Answer:

Step-by-step explanation:

(3a^4b^3)^3

=3^3a^4*3b^3*3

=27a^12b^9

Answer:

27(a^12)(b^9)

Step-by-step explanation:

Can be reorganized to (3^3)((a^4)^3)((b^3)^3)

27(a^12)(b^9)

Answer:

-(x^2)+4

Step-by-step explanation:

The general equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where the center is (h,k) and the radius is r.

The equation we are given is:

[tex](x-2)^2+(y+3)^2=80[/tex]

From this, the center is (2,-3), and the radius is [tex]\sqrt{80}[/tex], or [tex]4\sqrt{5}[/tex].

Let me know if you have any questions, thanks!

Answer: y: 5.5

Step-by-step explanation: combine 3/2 and x

y=3/2+ 4=5.5

Answer:

107520x6+89344x5−241808x4−55444x3+121478x2+6030x−12600

Step-by-step explanation:

brailiest

Answer:

nice

Step-by-step explanation: