#7 describe the dimensions of two different prisms each have a volume of 2400 cubic centimeters
#7 describe the dimensions of two different prisms each have - 1

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Answer 1
Answer: One can be L = 20 cm; W = 20 cm; H = 6 cm
The other can be: L 16 cm; W = 15 cm; H = 10 cm

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Variable y varies directly with variable x, and y = 6 when x = 4. Enter the constant of variation in lowest terms. y =__x
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Find the equation of the line parallel to y = 1/3x + 4 that passes through (-9, 4).

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For a line to be parallel, the slope has to be the same(1/3) only its coordonate on the y axis (b) changes. Therefore the new equation will be y=1/3x+b To find be, tou have to isolate it after inputting the new coordinates (-9,4) (4)=1/3(-9)+b 4=-3+b 7=b Therefore, the new equation is y=1/3x+7

How many solutions are there to the system of equations? 4x-5y=5 -0.08x+0.10y=0.10

Answers

Using substitution method, the system of linear equations has no solution.

What is the solution to the system of equations?

To determine the solution to the system of equations, we can use substitution method;

4x - 5y = 5 ...eq(i)

-0.08x + 0.10y = 0.10 ...eq(ii)

From equation (i)

4x - 5y = 5

let's make x the subject of formula;

4x = 5 + 5y

x = (5 + 5y) / 4 ...eq(iii)

Put eq(iii) into equ(ii)

-0.08[(5 + 5y)/4] + 0.10y = 0.10

(-2/5 - 2/5y)/4 + 0.10y = 0.10

y = no solution

Since y has no solution, this implies that the system of linear equations has no solution.

Learn more on system of linear equations here;

brainly.com/question/13729904

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Simple..

you have:

4x-5y=5

-0.08+0.10y=0.10

Take....

4x-5y=5----> *1 -----> 4x-5y=5

-0.08+0.10y=0.10---> *50---->-4x+5y=5

Now....

4x-5y=5
-4x+5y=5

As you may be able to tell it has no solution.

Thus, your answer.


Differentiate the following functions s=4e^3t-e^-2.5 w.r.t.t

Answers

Answer:

\displaystyle (ds)/(dt) = 12e^(3t)

General Formulas and Concepts:

Algebra I

  • Functions
  • Function Notation

Calculus

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle (d)/(dx) [cf(x)] = c \cdot f'(x)

Derivative Property [Addition/Subtraction]:                                                         \displaystyle (d)/(dx)[f(x) + g(x)] = (d)/(dx)[f(x)] + (d)/(dx)[g(x)]

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 \displaystyle (d)/(dx)[f(g(x))] =f'(g(x)) \cdot g'(x)

eˣ Derivative:                                                                                                         \displaystyle (d)/(dx) [e^u]=e^u \cdot u'

Step-by-step explanation:

Step 1: Define

Identify

\displaystyle s = 4e^(3t) - e^(-2.5)

Step 2: Differentiate

  1. eˣ Derivative:                                                                                                 \displaystyle (ds)/(dt) = 4e^(3t) \cdot (d)/(dt)[3t] - (d)/(dt)[e^(-2.5)]
  2. Basic Power Rule:                                                                                         \displaystyle (ds)/(dt) = 4e^(3t) \cdot 3t^(1 - 1) - 0
  3. Simplify:                                                                                                         \displaystyle (ds)/(dt) = 12e^(3t)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Suppose Richard walks 1 kilometer every 10 minutes.how many meters further can he walk in 1 hour at this new rate?explain how you found your answer.

Answers

This Problem Is Actually Quite Simple If You Look. There Are 60 Minutes In One Hour. A Proportional Relationship Will Help.
10       60
----  =  ---
 1         X

10X = 60. 
-------------
10      10
X = 6. 

Since X = 6, That Means Richard Can Walk 6 kilometers In One Hour. :D
I Hope This Helps You!

Pex Algebra PLS HELP

simplify 3^5 x 3^4

Answers

3 x 3 x 3 x 3 x 3 = 243
3 x 3 x 3 x 3 = 81
243 x 81 = 19,683
You are welcome

How far does a bus travel in 2.5 hours at 65 mph?

Answers

Speed = distance / time ⇒ distance = speed × time

distance = 65 mi / h * 2.5 h = 162.5 miles

Answer:

Distance traveled = 162.5 miles

Step-by-step explanation:

a bus travel in 2.5 hours at 65 mph

The time taken to travel is 2.5 hours

Speed of the bus is 65mph

To find the distance we use formula

Distance = speed * time

speed = 65

time = 2.5

Distance = 65* 2.5 = 162.5 miles

Distance traveled = 162.5 miles