All categories

2 years ago

Binomials: Expand (2a+3)^3 (PLEASE ANSWER QUICKLY)

Mathematics

1 answer:

hodyreva [135]2 years ago

4 0

Answer:

$8 {a}^{3} + {36a}^{2} + 54a + 27 \\$

Explanation:

Binomial theorem,

${(p + q)}^{3} = {p}^{3} + 3 {p}^{2} q + {q}^{3}$

You might be interested in

Mr. Clark traveled 456.4 km in 14 days.

xeze [42]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

<h3><u>Distance travelled each day is</u> : </h3>

32.6 km

<h3><u>Explanation</u> : </h3>

Distance travelled in 14 days is : 456.4 km

And if he travels same Distance each day, so let the Distance travelled on each day be x

According to question ~

$\qquad \sf \dashrightarrow \: 14 \times x = 456.4$

$\qquad \sf \dashrightarrow \: x = 456.4 \div 14$

$\qquad \sf \dashrightarrow x = \: 32.6 \: \: km$

So, he travels 32.6 km per day

5 0

2 years ago

A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. it currently contains 314 centimeters of water.

solniwko [45]

A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. it currently contains 314 centimeters of water.
what is the difference between the height of the water in the full cylinder and the height when 314 cubic centimeters of water remains in the cylinder?
use 3.14 for pi
310 cm

6 0

3 years ago

Read 2 more answers

Is -2 2/5 less than -2 1/4?

Svetradugi [14.3K]

<. $-2 \frac{2}{5}$ < $-2 \frac{1}{4}$

3 0

2 years ago

Read 2 more answers

Lauren is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line towar

DaniilM [7]

Lauren was 10 miles away from her house when he started.

Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.

So, with t = 0, d = -2t + 10

= -2(0) + 10

= 0 + 10

= 10 miles.

So, Lauren was 10 miles away from her house when he started.

Lauren was moving at a rate of -2 mph towards her house.

To find how fast Lauren was moving towards her house, we differentiate d with respect to t.

So, dd/dt = d(-2t + 10)/dt

= d(-2t)/dt + d(10)/dt

= -2 + 0

= -2 mph

So, Lauren was moving at a rate of -2 mph towards her house.

The rate is negative because her distance towards her house is decreasing

The rate is negative because her distance towards her house is decreasing since she is moving towards her house.

Lauren is 2 miles away from her house after 4 hours

To find this, we input t = 4 into the equation for d.

So, d = -2t + 10

= -2(4) + 10

= -8 + 10

= 2 miles.

So, Lauren is 2 miles away from her house after 4 hours

Learn more about distance travelled here:

brainly.com/question/17997145

7 0

2 years ago

Suppose the American Lung Association stated that approximately 1 out of every 20 deaths in the US last year was from lung cance

tester [92]

Answer: 10

Step-by-step explanation:

Given : The American Lung Association stated that approximately 1 out of every 20 deaths in the US last year was from lung cancer.

Then, the proportion of death will be :_

$p=\dfrac{1}{20}=0.05$

Now, If there are 200 students in a class, then the expected number of persons die from lung cancer :-

$p\times200\\\\=(0.050)\times200=10$

Hence, we expect the number of persons die from lung cancer =10

8 0

3 years ago