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3 years ago

Determine the common ratio and find the next three terms of the geometric sequence x,2x,4x

Mathematics

1 answer:

GrogVix [38]3 years ago

5 0

R=4x/2x=2x/x=2

8x, 16x, 32x

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Help math question derivative!

atroni [7]

Let $f(x)=\sec^{-1}x$ . Then $\sec f(x)=x$ , and differentiating both sides with respect to $x$ gives

$(\sec f(x))'=\sec f(x)\tan f(x)\,f'(x)=1$
$f'(x)=\dfrac1{\sec f(x)\tan f(x)}$

Now, when $x=\sqrt2$ , you get

$(\sec^{-1})'(\sqrt2)=f'(\sqrt2)=\dfrac1{\sec\left(\sec^{-1}\sqrt2\right)\tan\left(\sec^{-1}\sqrt2\right)}$

You have $\sec^{-1}\sqrt2=\dfrac\pi4$ , so $\sec\left(\sec^{-1}\sqrt2\right)=\sqrt2$ and $\tan\left(\sec^{-1}\sqrt2\right)=1$ . So $(\sec^{-1})'(\sqrt2)=\dfrac1{\sqrt2\times1}=\dfrac1{\sqrt2}$

5 0

3 years ago

Surface area help plz

lana [24]

Answer:

486 mm

Step-by-step explanation:

solve each side on it's own first

First 2 rectangles: 288 mm all together

2 rectangle: 144 mm

Triangles: 54 mm

Then add rectangles and triangles:

288 mm + 144 mm + 54 mm = 486 mm

8 0

3 years ago

Jeremiah work 5 days a week.if he earned $225 a day, how much does he earn per day?

Naddika [18.5K]

Uh do you mean he earned $225 per week?
If yes, then he earned 45 per day.

7 0

2 years ago

Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloo

Ronch [10]

Well he wants to buy 100 blue balloons so that would cost 100*0.6. The cost of white balloons(because they are half off) are w*0.3. He has a total of 150 dollars to we get 100*0.6+w*0.3=150 or 60+0.3w=150
Thus we get c

5 0

3 years ago

Read 2 more answers

Which facts are true for the graph of the function below?Check all that apply. F(x)= (3/7)x

Vikki [24]

Answer:

Step-by-step explanation:

A is false because y-intercept is (0,0)

C is false because x-intercept is (0,0)

D is false because domain is all real numbers

E is false because range is all real numbers

F (see B)

5 0

3 years ago