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3 years ago

What is the answer of question 26 please is for my brother

Mathematics

1 answer:

777dan777 [17]3 years ago

4 0

Answer: the answer is D

Step-by-step explanation:

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A plane travels a distance of 22,000km in a time of 3.6 hours. What is its average speed rounded to the nearest whole number

fredd [130]

Answer:6111 km/hr

Step-by-step explanation:

Given

Distance travels by plane d=22,000 km

time taken t=3.6 hours

$\text{distance}=\text{speed}\times\text{time}$

average speed

$v_{avg}=\dfrac{22,000}{3.6}=6111.11\approx 6111\ km/hr$

4 0

3 years ago

Robin can mow a lawn in 3 hours, while Brady can mow the same lawn in 4 hours. How many hours would it take for them to mow the

BaLLatris [955]

The answer is twelve sevenths (12/7)

x - the job
t - time to do the job x

Robin can mow a lawn in 3 hours: x/3 * t
Brady can mow the same lawn in 4 hours: x/4 * t

If they work together, the total work will be the sum of their speeds:
x = x/3 * t + x/4 * t = (x/3 + x/4)*t = (4x/12 + 3x/12) * t = 7x/12 * t

x = 7x/12 * t

Divide both sides by x:
x/x = 7x/12 * t/x
1 = 7/12 t
t = 1 : 7/12
t = 12/7

5 0

3 years ago

A train decreased its speed by 72 miles hour in 12 minutes. Find the average change in speed per minute.

melisa1 [442]

Answer:

6 mph

Step-by-step explanation:

3 0

3 years ago

The following integral requires a preliminary step such as long division or a change of variables before using the method of par

shtirl [24]

Division yields

$\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}$

Now for partial fractions: you're looking for constants a, b, and c such that

$\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}$

$\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a$

which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then

$\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}$

Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

$\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}$

7 0

3 years ago

What is the expression for the area of this rectangle?

raketka [301]

Answer:

Step-by-step explanation:

mcccccccccccccccccccccccccccccccccccccccccccccc

5 0

3 years ago