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2 years ago

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In the given table we note that there are six clear subintervals: [0, 0.5], [0.5, 1.0], [1.0, 1.5], [1.5, 2.0], [2.0, 2.5], and

[2.5, 3.0]. The width of each of these subintervals is . Therefore, the change in t over each subinterval, Δt, can be stated as follows.

1 answer:

gizmo_the_mogwai [7]2 years ago

4 0

Answer:

The width is 0.5.

Δt, can be stated as follows = 0.5

Step-by-step explanation:

The change is 0.5

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The amount in kilograms, a, of a radioactive element that remains after t hours can be modeled by the equation a= 0.65(0.92)to t

elena-14-01-66 [18.8K]

Answer:

The rate of decrease is 8%

Step-by-step explanation:

we know that

The general equation for the radioactive decay can be written as:

$a=a_0(1-r)^t$

where

a is the amount in kilograms after time t.

a_0 is the original amount of the substance or y-intercept of the function

r is the decay rate, written in decimals.

t is the time

In this problem we have

$a=0.65(0.92)^t$

so

$a_0=0.65\\(1-r)=0.92$

solve for r

$r=1-0.92=0.08$

Convert to percentage

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3 years ago

Richard deposits $237.95 every month into his mortgage. At the end of 30 years, he has a balance of $183,710.77. What interest h

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Answer:

$98,048.77

Step-by-step explanation:

First you want to find out how much he has put in without interest so you would do 237.95*12 to figure out how much he puts in per year then times that number by 30 to figure out how much he has put in in total, after this you subtract this total from the 183,710.77 to get the total amount of interest

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3 years ago

part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.

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Answer: $\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}$

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>

<em />

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Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

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Note: 12² + opposite² = 20² → opposite = 16

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Note: adjacent² + 5² = 6² → adjacent = √11

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3 years ago

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goldenfox [79]

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Let's substitute b-2 into the first equation wherever there is an a.

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3 years ago

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natali 33 [55]

Answer:

<h2>-4</h2>

Step-by-step explanation:

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$0 = (x+4)^{2} \\$

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3 years ago