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3 years ago

11

The number of miles driven varies directly with the number of gallons of gas used. If 8 gallons of gas are used to drive 204 mil

es, how many miles can be driven on 18 gallons of gas?

1 answer:

Alik [6]3 years ago

8 0

Answer:

3672

Step-by-step explanation:

If 8 gallons of gas were used to drive 204 miles multiply 18x204=3,672 miles

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A spinner has 10 equal sections marked 1 through 10. You spin and land on a number

kumpel [21]

Answer:

100% chance of this happening.

Step-by-step explanation:

The chances of this happening = 100% because all the numbers are greater than 0.

7 0

3 years ago

Read 2 more answers

Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your ans

VikaD [51]

Answer:

The two iterations of f(x) = 1.5598

Step-by-step explanation:

If we apply Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

Given;

f(xₙ) = cos x, then f'(xₙ) = - sin x

cos x / - sin x = -cot x

substitute in "-cot x" into the equation

xₙ₊₁ = xₙ - (- cot x)

xₙ₊₁ = xₙ + cot x

x₁ = 0.7

first iteration

x₂ = 0.7 + cot (0.7)

x₂ = 0.7 + 1.18724

x₂ = 1.88724

second iteration

x₃ = 1.88724 + cot (1.88724)

x₃ = 1.88724 - 0.32744

x₃ = 1.5598

To four decimal places = 1.5598

4 0

3 years ago

Someone who's good at math please help me!!!

timurjin [86]

#1.
Here what you do is cross multiply.
$\frac{8x}{13x}$
#2.
Same as #1, just cross multiply.
$\frac{9x}{12}$

You get the gist?

8 0

3 years ago

In the air, it had an average speed of 16 m/s In the water, it had an average speed of 3 m/s before hitting the seabed. The tota

julia-pushkina [17]

<h2>The stone fall in air for 7 seconds and fall in water for 5 seconds.</h2>

Step-by-step explanation:

Total distance to sea bed = 127 m

Let the distance traveled in air be s.

Distance traveled in water = 127 - s

Average velocity in air = 16 m/s

Average velocity in water = 3 m/s

Distance traveled in air = Average velocity in air x Time in air

s = 16 x t₁

$t_1=\frac{s}{16}$

Distance traveled in water = Average velocity in water x Time in water

127-s = 3 x t₂

$t_2=\frac{127-s}{3}$

We have total time is 12 seconds

That is

t₁ + t₂ = 12

$\frac{s}{16}+\frac{127-s}{3}=12\\\\3s+2032-16s=576\\\\13s=1456\\\\s=112m$

We have

s = 16 x t₁

112 = 16 x t₁

t₁ = 7 s

t₁ + t₂ = 12

7 + t₂ = 12

t₂ = 5 s

The stone fall in air for 7 seconds and fall in water for 5 seconds.

7 0

3 years ago

HELP...The volume of a rectangular prism is 36x^6y^8. The length of the prism is 4x^3y^5, and the width of the prism is 3xy^2. W

Margaret [11]

Answer:

$H = 3x^2y$

Step-by-step explanation:

Given

$V = 36x&^6y^8$

$L = 4x^3y^5$

$W = 3xy^2$

Required

Find the height of the prism

Volume (V) is calculated as:

$V =LWH$

Substitute values for V, L and W

$36x^6y^8 =4x^3y^5 * 3xy^2 * H$

Make H the subject

$H = \frac{36x^6y^8}{4x^3y^5 * 3xy^2}$

$H = \frac{36x^6y^8}{4*3x^3*x*y^5y^2}$

$H = \frac{36x^6y^8}{12x^4*y^7}$

Divide:

$H = 3x^{6-4}y^{8-7}$

$H = 3x^2y$

The height of the prism is: $3x^2y$

4 0

3 years ago