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2 years ago

A car travels at a speed of 0.915 miles per minute. Write the speed in expanded form.

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

3 0

Answer:

Expanded form - (0×1+9×1/10+1×1/100+5×1/1000) miles per minute.

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Distance traveled varies jointly as rate and time. If Fred travels 135 miles in 3 hours at a rate of 45 mi/hr, find the rate at

Rudiy27

From the relation, d is joint proportionaly with r and t.
Thus,d = krt.

Using the first set of given, we could calculate for k.135 = k(45)(3)k = 1

Using the computed value of k.d = krtr = d/ktr = (189)/(1)(3.5) = 54 mph.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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3 years ago

Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be

Travka [436]

Answer:

D = L/k

Step-by-step explanation:

Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is

dA/dt = in flow - out flow

Since litter falls at a constant rate of L grams per square meter per year, in flow = L

Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow

So,

dA/dt = in flow - out flow

dA/dt = L - Ak

Separating the variables, we have

dA/(L - Ak) = dt

Integrating, we have

∫-kdA/-k(L - Ak) = ∫dt

1/k∫-kdA/(L - Ak) = ∫dt

1/k㏑(L - Ak) = t + C

㏑(L - Ak) = kt + kC

㏑(L - Ak) = kt + C' (C' = kC)

taking exponents of both sides, we have

$L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt} (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k} - \frac{C"}{k} e^{kt}$

When t = 0, A(0) = 0 (since the forest floor is initially clear)

$A = \frac{L}{k} - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k} - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k} - \frac{C"}{k} e^{0}\\\frac{L}{k} = \frac{C"}{k} \\C" = L$

$A = \frac{L}{k} - \frac{L}{k} e^{kt}$

So, D = R - A =

$D = \frac{L}{k} - \frac{L}{k} - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}$

when t = 0(at initial time), the initial value of D =

$D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}$

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3 years ago

Help me with this please

photoshop1234 [79]

Answer:

ANSWER:D

Step-by-step explanation:

Sana maka help

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3 years ago

What is the value of a in the equation 0.75 (a - 2) = 5.25

irga5000 [103]

X=9 mark as brainlest if this helps ;)

6 0

3 years ago

Read 2 more answers

Dr. Washington is interested in studying the relationship between test scores, coded from zero percent to 100 percent, and the n

aleksklad [387]

Answer:

independent quantitative.

Step-by-step explanation:

An indepentent variable in an investigation, is the variable that will be changed in order to know how its variation affects the dependent variable.

In this case, the dependent variable is the test scores since Dr Washington will study there is the numeber of hours of study affects the grade the students obtain.

Therefore, the hours of study are the independent variable.

It is also a quantitative variable since it can be counted.

6 0

3 years ago