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3 years ago

Gina filled a tub with 25 quarts of water. what is this amount in gallons and quarts

Mathematics

2 answers:

tamaranim1 [39]3 years ago

6 0

The answer is 6.25 gallons because one us gallon is .25 quarts and .25 x 25 is 6.25.

BlackZzzverrR [31]3 years ago

6 0

6 gallon and 1 quart

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a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-

Natalka [10]

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

dy/dt = 30 - 10t = 0

10t = 30

t = 3 seconds

In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

t^2 - 6t - 8 = 0

Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

The rocket will be 35 meters below the cliff.

5 0

3 years ago

Mr. pham wrote the equation below on the board.

valkas [14]

18 - 7x = -20.5

Subtract 18 from each side:

-7x = -38.5

Divide both sides by -7:

x = -38.5 / -7

x = -5.5 = 5 1/2

The answer is D.

7 0

3 years ago

Read 2 more answers

Find the inverse of Y=2x-6

Cerrena [4.2K]

Answer:

Step-by-step explanation:

f^-1(x)=x/2+3

7 0

3 years ago

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identify the amplitude and period of the function then graph the function and describe the graph of G as a transformation of the

mrs_skeptik [129]

Given the function:

$g(x)=cos4x$

Let's find the amplitude and period of the function.

Apply the general cosine function:

$f(x)=Acos(bx+c)+d$

Where A is the amplitude.

Comparing both functions, we have:

A = 1

b = 4

Hence, we have:

Amplitude, A = 1

To find the period, we have:

$\frac{2\pi}{b}=\frac{2\pi}{4}=\frac{\pi}{2}$

Therefore, the period is = π/2

The graph of the function is shown below:

The parent function of the given function is:

$f(x)=cosx$

Let's describe the transformation..

Apply the transformation rules for function.

We have:

The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.

ANSWER:

Amplitude = 1

Period = π/2

Transformation = horizontal compression.

8 0

1 year ago

How do you turn<br> 584.56714755 into a radical answer and what would it be

Llana [10]

Answer

584.56714755 = 146

Step-by-step explanation:

584.567 is 4 times 146 ...

...and 4 can be written as 2 to the power 2.

So, the 4 can just be pulled outside of the radical sign, as a 2 ,

and the other factor, the 146 , just stays inside of the radical sign.

8 0

3 years ago