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irinina [24]
3 years ago
9

Duncan takes a break from studying and goes to the gym to swim laps. If swimming burns 9.05×105 cal per hour, how many kilojoule

s does swimming burn in that same amount of time?
Mathematics
1 answer:
fgiga [73]3 years ago
3 0

For this case we have to by definition:

1 kilojoule equals 0.239006 kilocalorie.

1 kilocalorie equals 1000 calories

Then, if we have:9.05 * 10 ^ 5 \frac {calories} {hour} *\frac {1} {1000} \frac {kilocaloria} {calorie} = 9.05 * 10 ^ 2 \frac {kilocaloria} {hour}

Now:

9.05 * 10 ^ 2 \frac {kilocaloria} {hour} * \frac {1} {0.239006} \frac {kilojoule} {kilocaloria} = 3786.52 \frac {kilojoule} {hour}

Answer:

3786.52 \frac {kilojoule} {hour}

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If f(x) = 2x6 + 3x5 – 1, then what is the remainder when f(x) is divided by<br> x + 1?
Alchen [17]
<h3>Answer:   -2</h3>

===============================================

Explanation:

We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).

Comparing x+1 to x-k shows that k = -1

It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.

Plug this k value into the function

f(x) = 2x^6 + 3x^5 - 1

f(-1) = 2(-1)^2 + 3(-1)^5 - 1

f(-1) = 2(1) + 3(-1) - 1

f(-1) = 2 - 3 - 1

f(-1) = -1 - 1

f(-1) =-2

The remainder is -2

We can confirm this through synthetic division or polynomial long division.

5 0
3 years ago
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strojnjashka [21]
Im not sure what its asking.. whats the question?
8 0
3 years ago
What are the possible numbers of positive, negative, and complex zeros of f(x) = 3x4 − 5x3 − x2 − 8x + 4?
Scorpion4ik [409]

Answer:

Two positive zeros, no negative zeros, two complex roots.

Step-by-step explanation:

The given function is f(x)=3x^4-5x^3-x^2-8x+4

According to the fundamental theorem of algebra, the function will have 4 roots.

The graph of the function intersects the positive axis at two points.

Hence the function has two positive zeros and no negative zeros.

The two remaining roots are imaginary. The function has two complex zeros.

See graph in attachment

3 0
3 years ago
Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is
lesya692 [45]

Answer:

.5(5I)+.5(2s)

Step-by-step explanation:

3 0
3 years ago
Find c in the pic below
Fiesta28 [93]

Answer:

A

Step-by-step explanation:

To find the angle inside the triangle (to the right side of 90 degree angle), we first have to find the adjacent angle (below it).

Angle 122 and that adjacent angle is same (parallel lines cut by transversal -- they are corresponding angles).

So that angle is 122.

The inside triangle angle (what we want) is adjacent to 122, so we can write:

Angle + 122 = 180  [straight angle/straight line is 180 degrees]

Solving for that angle, we have:

Angle = 180 - 122 = 58

Now, looking at the triangle, Side C is "opposite" of 58°  and side "20" is the side that is "hypotenuse" [side opposite of 90 degree angle is hypotenuse).

<em>Which trig ratio relates "opposite" and "hypotenuse"??</em>

<em>Yes, it is SIN. Thus we can write:</em>

<em>Sin(58)=\frac{Opposite}{Hypotenuse}=\frac{C}{20}</em>

<em />

<em>We can now solve for C:</em>

<em>Sin(58)=\frac{C}{20}\\C=20*Sin(58)\\C=16.96</em>

<em />

<em>Correct answer is A</em>

7 0
3 years ago
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