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3 years ago

a taxi hurries with a constant speed of 38 miles per hour. how long will it take to travel a distance of 95 miles

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

7 0

Answer:

2.5 hours

you would take your total miles 95 and divide it by 38 ans it gives you 2.5

Sliva [168]3 years ago

5 0

Answer:

2.5 hours aka 2 hours and 30 minutes

Step-by-step explanation:

use unit analysis:

$95 miles * \frac{1 hour}{38 miles}=\frac{95}{38}=2.5 hours$

when you set up an equation like this, make sure you set it up so you end up with the unit you want. your question asked how long, whihc means our answer was going to be a unit of time, in this situation: hours.

so the given distance was 95, multiply that by the rate of change and make sure miles is in the denominator so that the "miles" get cancelled out and you're left with the unit of hours.

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4/6 of the time was spent to play music because 1/6 + 1/6 = 2/6
6/6 - 2/6 = 4/6

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3 years ago

On December 31, 2019, Akron, Inc., purchased 5 percent of Zip Company's common shares on the open market in exchange for $16,050

Anastaziya [24]

The amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is <u>$143,400</u>, which is the fair value of the Common Stock of Zip Company.

<h3>What is the fair value of an investment?</h3>

The fair value of an investment is the current value and not the historical cost when the investment was made.

Fair value refers to the intrinsic worth of an asset or security.

<h3>Data and Calculations:</h3>

Income Dividends Common Stock Akron's Investment

Declared Fair Value (12/31) in Zip Company

2019 $321,000 $16,050 ($321,000 x 5%)

2020 $79,000 $6,200 376,000 $94,000 ($376,000 x 25%)

2021 89,000 15,800 478,000 $143,400 ($478,000 x 30%)

Excess attributed to share of Zip's franchises = $33,350 ($143,400 - $110,050).

Thus, the amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is <u>$143,400.</u>

Learn more about the fair value of an investment at brainly.com/question/13219936

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1 year ago

A cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material for the sides of the can costs

iogann1982 [59]

Answer:

r=3.628cm

h=12.093cm

Step-by-step explanation:

For this problem we are going to use principles, concepts and calculations from multivariable calculus; mainly we are going to use the Lagrange multipliers method. This method is thought to help us to find a extreme value of a multivariable function 'F' given a restriction 'G'. F represents the function that we want to optimize and G is just a relation between the variables of which F depends. The Lagrange method for just one restriction is:

$\nabla F=\lambda \nabla G$

First, let's build the function that we want to optimize, that is the cost. The cost is a function that must sum the cost of the sides material and the cost of the top and bottom material. The cost of the sides material is the unitary cost (0.03) multiplied by the sides area, which is $A_s=2\pi rh$ for a cylinder; while the cost of the top and bottom material is the unitary cost (0.05) multiplied by the area of this faces, which is $A_{TyB}=2\pi r^2$ for a cylinder.

So, the cost function 'C' is:

$C=2\pi rh*0.03+2\pi r^2*0.05\\C=0.06\pi rh+0.1\pi r^2$

The restriction is the volume, which has to be of 500 cubic centimeters:

$V=500=\pi r^2h\\500=\pi hr^2$

So, let's apply the Lagrange multiplier method:

$\nabla C=\lambda \nabla V\\\frac{\partial C}{\partial r}=0.06\pi h+0.2\pi r\\\frac{\partial C}{\partial h}=0.06\pi r\\\frac{\partial V}{\partial r}=2\pi rh\\\frac{\partial V}{\partial h}=\pi r^2\\(0.06\pi h+0.2\pi r,0.06\pi r)=\lambda (2\pi rh,\pi r^2)$

At this point we have a three variable (h,r, λ)-three equation system, which solution will be the optimum point for the cost (the minimum). Let's write the system:

$0.06\pi h+0.2\pi r=2\lambda \pi rh\\0.06\pi r=\lambda \pi r^2\\500=\pi hr^2$

(In this kind of problems always the additional equation is the restricion, in this case, V=500).

Let's divide the first and second equations by π:

$0.06h+0.2r=2\lambda rh\\0.06r=\lambda r^2\\500=\pi hr^2$

Isolate λ from the second equation:

$\lambda =\frac{0.06}{r}$

Isolate h from the third equation:

$h=\frac{500}{\pi r^2}$

And then, replace λ and h in the first equation:

$0.06*\frac{500}{\pi r^2} +0.2r=2*(\frac{0.06}{r})r\frac{500}{\pi r^2} \\\frac{30}{\pi r^2}+0.2r= \frac{60}{\pi r^2}$

Multiply all the resultant equation by $\pi r^{2}$ :

$30+0.2\pi r^3=60\\0.2\pi r^3=30\\r^3=\frac{30}{0.2\pi } =\frac{150}{\pi}\\r=\sqrt[3]{\frac{150}{\pi}}\approx 3.628cm$

Then, find h by the equation $h=\frac{500}{\pi r^2}$ founded above:

$h=\frac{500}{\pi r^2}\\h=\frac{500}{\pi (3.628)^2}=12.093cm$

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3 years ago

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Snezhnost [94]

Answer:

Step-by-step explanation:

2(8) + 3

16 + 3

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3 years ago

Please help me with this translating trigonometry graphs question. Brainliest and Points Available.

andreev551 [17]

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

<h3>How to apply translations on a given function</h3>

<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:

Horizontal translation

g(x) = f(x - k), k ∈ $\mathbb {R}$ (1)

Where the translation goes <em>rightwards</em> for k > 0.

Vertical translation

g(x) = f(x) + k, k ∈ $\mathbb {R}$ (2)

Where the translation goes <em>upwards</em> for k > 0.

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

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2 years ago

a taxi hurries with a constant speed of 38 miles per hour. how long will it take to travel a distance of 95 miles​

a taxi hurries with a constant speed of 38 miles per hour. how long will it take to travel a distance of 95 miles