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Grace [21]
3 years ago
12

A curcular track is 1/4 completing each mile every 1/15 mile

Mathematics
1 answer:
dsp733 years ago
4 0

Answer:

s = 3.75 miles/hour

Step-by-step explanation:

Distance covered = 1/4 of a mile

Time taken = 1/15 of an hour

We need to find the speed of the track. We know that,

s=\dfrac{d}{t}\\\\=\dfrac{\dfrac{1}{4}}{\dfrac{1}{15}}\\\\=3.75\ mi/h

So, the required speed is 3.75 miles/hour.

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The product of 16 and 4 less than a number is 208. Find the number.
svlad2 [7]
This is a word problem signifying an algebraic expression.

Translating this to mathematics:

16x - 4 = 208

add 4 to both sides.

16x = 212 

divide 16 to both sides. 

x = \frac{212}{16} 

this is:

x = 13.25 




5 0
3 years ago
Two lines intersect at a point, forming ​ ∠1 , ∠2 , ∠3 , and​ ​ ∠4 ​ .
Ad libitum [116K]
The answer is:  [B]:  " 60° " .
________________________________________
Because at whatever location,  <span>∠2 and ∠4 are vertical angles;
</span>
and all vertical angles have equal measurements.

Given:   m∠1  is 120°, and ∠1 is supplementary to ∠2 ;

then m∠1 + m∠2 = 180° .

So, m∠2 = (180 - 120)° = 60° .

As aforementioned:

m∠4 = m∠2 = 60° ;  which is:  Answer choice:  [B]:  " 60° " .
___________________________________________________
3 0
3 years ago
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
2 years ago
A new baby is born in France the newspaper reports the baby's mass to be 1.5×10³ kg
Ira Lisetskai [31]

The question only supplied us with the mass of the new baby which is:

1.5\cdot10^3\operatorname{kg}\Rightarrow1500\operatorname{kg}

This mass is too bizzarre & unrealistic for

4 0
1 year ago
Quick Question: did I do this right?
Akimi4 [234]

Answer:

Yes

Step-by-step explanation:

I think it looks right I hate when teacher give you work but no telling you how to do it

3 0
3 years ago
Read 2 more answers
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