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3 years ago

WITHIN THE NEXT 5 MIN I WILL GIVE U BRAINIEST

Mathematics

1 answer:

ivann1987 [24]3 years ago

3 0

Opps, wrong answer

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Which expression is equivalent to 4 square root 6 divided by 3 root 2

denis-greek [22]

Answer:

The expression is equivalent to 4 square root 6 divided by 3 root 2 is:

8/3

Step-by-step explanation:

Given expression:

4 square root 6 divided by 3 root 2

$\frac{4\sqrt{6}}{3\sqrt{2} }$

$=\frac{4\sqrt{2*2*2}}{3\sqrt{2} }$

$=\frac{4\sqrt{2*2^{2} }}{3\sqrt{2} }$

square root of 2² = 2 hence,

$=\frac{4*2\sqrt{2}}{3\sqrt{2} }$

$=\frac{8\sqrt{2}}{3\sqrt{2} }$

Common terms in the numerator and denominator cancels each other out

$=\frac{8}{3}$

By solving the expression using simple mathematical rules, we got an equivalent expression of

$\frac{4\sqrt{6}}{3\sqrt{2} } = \frac{8}{3}$

7 0

3 years ago

Read 2 more answers

Q2. A train travels at a constant speed of 45 m/s. a) Calculate the distance travelled by the train in:

alex41 [277]

Answer:

i) 1350 m

ii) 5400 m

Step-by-step explanation:

<u>Formula for Speed</u>

$\boxed{\sf Speed=\dfrac{Distance}{Time}}$

Rearrange the formula so that Distance is the subject:

$\implies \sf Distance = Speed \times Time$

<h3><u>Question (i)</u></h3>

Given:

Speed = 45 m/s (meters per second)
Time = 30 seconds

Substitute the given values into the formula for distance:

$\implies \sf Distance = 45 \times 30 = 1350\:m$

<h3><u>Question (ii)</u></h3>

Given:

Speed = 45 m/s (meters per second)
Time = 2 minutes

As the time is given in a different unit of time as the speed, we must first convert the time into seconds:

1 minute = 60 seconds

⇒ 2 minutes = 60 × 2 = 120 seconds

Therefore:

Speed = 45 m/s (meters per second)
Time = 120 seconds

Substitute the values into the formula for distance:

$\implies \sf Distance = 45 \times 120 = 5400\:m$

3 0

1 year ago

Read 2 more answers

George needs blueberries for a certain recipe calls for 4/5 cup blueberries.However, George wants to make a recipe that is 3 1/2

lesya [120]

Answer:

Step-by-step explanation:

4/5 × 3 1/2

= 4/5 × 7/2

= 28/10

= 2 8/10

=2 4/5 cups of blueberries

6 0

3 years ago

Wesley earned $72 walking dogs for 6 hours. How many total hours will it take Wesley to earn $96 in all? Solve using unit rates.

MissTica

8 hours

72/6=12 $12 and hour 96/12=8 8 hours to earn $96

8 0

3 years ago

Solve the differential equation.<br><br> (y^2 + xy^2)y' = 1

stira [4]

$(y^2 + xy^2)y' = 1 \ \Rightarrow\ (y^2 + xy^2)\frac{dy}{dx}= 1 \ \Rightarrow\\ \\
y^2(1 + x) \frac{dy}{dx} = 1 \ \Rightarrow\ y^2 dx = \frac{dx}{1 + x}\ \Rightarrow \\ \\
\int y^2 dx =\int \frac{dx}{1 + x} \ \Rightarrow\ \frac{1}{3}y^3 = \ln|1+x| + C\ \Rightarrow \\ \\
y^3 = 3 \ln|1 + x| + 3C\ \Rightarrow\ y = \sqrt[3]{3\ln|1+x| + K},\ \text{where $K = 3C$}
$

6 0

3 years ago