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Mumz [18]
3 years ago
5

Below is an geometric sequence.

Mathematics
1 answer:
Vlada [557]3 years ago
8 0

Answer:

2

2×5=10

10×5=50

A 50×5=250

B 250×5= 125P

C 1250×5=6250

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A model rocket is launched with an initial upward velocity of 138 ft/s. The rocket's height h (in feet) after 1 seconds is given
insens350 [35]

Answer:

t = 8.017 or 0.608 (nearest hundredth)

Step-by-step explanation:

h = 138t-16t^2

when h = 78:

\implies 138t-16t^2=78

\implies 16t^2-138t+78=0

Using quadratic formula:

t=\dfrac{138 \pm\sqrt{(-138)^2-(4 \cdot 16 \cdot 78)} }{2 \cdot 16}

\implies t=\dfrac{138 \pm\sqrt{14052} }{32}

\implies t=8.017, t = 0.608

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2 years ago
Which statement describes the solutions of this equation?
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Find the circumference and area of a circle with diameter 12 ft. Express your answer in terms of pie
xz_007 [3.2K]

Answer:

Circumference: 12π

Area: 36π

Step-by-step explanation:

The equation for the circumference of a circle is:

C = πd

Where C is the circumference and d is the diameter. Knowing this, we will be able to find the circumference by pugging in 12 for d.

C = 12π

And now we have found the circumference of the circle.

The equation for the area of a circle is:

A = πr²

Where A is the area and r is the radius. Remember that the diameter is double the radius, so we can find the radius:

12 = 2r

r = 6

Now that we know r, we can find the area of the circle:

A = π(6)²

A = 36π

Now we have found the area.

So the circumference is 12π and the area is 36π.

I hope you find my answer and explanation to be helpful. Happy studying.

4 0
3 years ago
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2 years ago
1/4 times the sum of a number and −3.2 is 1.8. What is the number?
joja [24]

Answer:

10.4

Step-by-step explanation:

Let the number be x

Sum of  x  and -3.2 : x + (-3.2) = x - 3.2

1/4 times the sum of a number and −3.2 = (1/4) * (x - 3.2)

\dfrac{1}{4}* \left( x - 3.2 \right) = 1.8\\\\\Multiply \ the \ whole \ equation \ by \ 4 \\\\4*\dfrac{1}{4} *(x - 3.2) = 1.8*4\\\\\\x - 3.2 = 7.2\\\\Add \  3.2 \ to \ both \ sides\\\\\\x = 7.2 + 3.2\\

x = 10.4

5 0
2 years ago
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