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2 years ago

PLS HELP WILL MARK BRAINLIEST. IF GOTTEN RIGHT SHOW WORK

Mathematics

1 answer:

zalisa [80]2 years ago

3 0

9514 1404 393

Answer:

12 feet

Step-by-step explanation:

You seem to have a few of these, so let's find a generic solution.

The vertex form of a quadratic equation is ...

f(x) = a(x -h)² +k

When we expand that, we get ...

f(x) = a(x² -2hx +h²) +k = ax² -2ahx +ah² +k

Comparing this to your standard form quadratic ...

h(t) = -16t² +vx +s

we can see that ...

a = -16
-2ah = v
ah² +k = s

Solving for h and k, we get ...

(-2)(-16)h = v

h = v/32

and

k = s -ah² = s -(-16)(v/32)²

k = s +v²/64

So, the generic solution for these problems is ...

h = time to maximum height = v/32

k = maximum height = s +v²/64

This problem asks for the maximum height, which will be ...

s +v²/64 = 3 +24²/64 = 3 +9 = 12 . . . . feet

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UURGENTTT PLLZ HELP WILL MARK AS BRANLIEST!!!

lapo4ka [179]

Answer:

Surface area of the wood to be painted = ( $r^{2}$ + r $\sqrt{h^{2} + r^{2} }$ ) $\pi$ - 16 $\pi$

Step-by-step explanation:

Surface area of a cone is given as the sum of the surface area and the area of its base.

i.e Surface area = $\pi$ $r^{2}$ + $\pi$ Lr

where: L is the length of its slant height and r is the radius.

Applying the Pythagoras theorem,

L = $\sqrt{h^{2} + r^{2} }$

Thus,

Surface area = $\pi$ r (r + $\sqrt{h^{2} + r^{2} }$ )

The given cylindrical hole has a radius of 4 cm and depth 2 cm.

The area of one of its circular surfaces = $\pi$ $r^{2}$

= $\pi$ × $(4)^{2}$

= 16 $\pi$ $cm^{2}$

The surface area of the piece of wood to be painted = surface area of cone - area of cylindrical circular surface.

Surface area of the wood to be painted = $\pi$ r (r + $\sqrt{h^{2} + r^{2} }$ ) - 16 $\pi$

7 0

3 years ago

TJ invested $4000 in a bond at a yearly rate of 2%. He earned $200 in interest. How long was the money invested

kow [346]

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3 years ago

14(0.89)^x+4.5 =162

lisabon 2012 [21]

$14(0.89)^{x + 4.5} = 162$
$\frac{14(0.89)^{x + 4.5}}{14} = \frac{162}{14}$
$0.89^{x + 4.5} = 11\frac{4}{7}$
$ln(0.89^{x + 4.5}) = ln(11\frac{4}{7})$
$(x + 4.5)ln(0.89) = ln(11\frac{4}{7})$
$\frac{(x + 4.5)ln(0.89)}{ln(0.89)} = \frac{ln(11\frac{4}{7})}{ln(0.89)}$
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3 0

3 years ago

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asambeis [7]

Word Form: Three hundred fourteen thousand two hundred seven

Expanded Form: 300,000 + 10,000 + 4,000 + 200 + 7

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3 years ago

Read 2 more answers

For each relation, decide whether or not it is a function<br>

Digiron [165]

Answer:

Relation 1,2,and 4 are functions, but relation 3 not is a function.

Step-by-step explanation:

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2 years ago