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3 years ago

A car travels 228 km in 3 hours.

Mathematics

1 answer:

Gnesinka [82]3 years ago

5 0

7 hours b 228 km in 3 hours

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Which statement about 5 multiplied by 1/8 must be true?

Kipish [7]

Answer:

The product is less than 1.

Step-by-step explanation:

Since $5\times \frac{1}{8} = \frac{5}{1}\times \frac{1}{8}=\frac{5}{8}$

and $\frac{5}{8}= 0.625$

which is less than 1, therefore we can say that the product is less than 1.

3 0

3 years ago

A.) The formula for the volume of a sphere is given below and the relationship between the radius r and the diameter d is r=d/2.

Tasya [4]

Answer:

$\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3$

Step-by-step explanation:

<u>The Volume of a Sphere </u>

The volume of a sphere of radius r is given by:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3$

A. )

If the diameter of the sphere is d, the radius is r=d/2. Substituting:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot \left (\frac{d}{2} \right )^3$

Operating

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot \frac{d^3}{8}$

Simplifying

$\displaystyle V=\frac{1}{6}\cdot \pi\cdot d^3$

B.)

The diameter of the sphere is 2/3 cm, thus the volume is:

$\displaystyle V=\frac{1}{6}\cdot \pi\cdot \left (\frac{2}{3} \right )^3$

Operating:

$\displaystyle V=\frac{1}{6}\cdot \pi\cdot \frac{8}{27}$

$\displaystyle V=\frac{8}{27}\frac{1}{6}\cdot \pi$

$\boxed{\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3}$

8 0

3 years ago

It is given that m=3x+1 and y= (5/1+m^2).<br>Find dy/dx in terms of x.<br>

DiKsa [7]

Answer:

${ \underline{ \bf{ \frac{dy}{dx} = - \frac{30m}{ {(1 + {m}^{2}) }^{2} } }}}$

Step-by-step explanation:

${ \bf{m = 3x + 1}} \\ { \sf{ \frac{dm}{dx} = 3 }} \\ \\ { \bf{y = \frac{5}{1 + {m}^{2} } }} \\ \\ { \tt{ \frac{dy}{dm} = \frac{ - 10m}{ {(1 + {m}^{2} )}^{2} } }}$

Using chain rule:

${ \boxed{ \bf{ \frac{dy}{dx} = \frac{dy}{dm}. \frac{dm}{dx} }}}$

${ \sf{ \frac{dy}{dx} = - \frac{10m}{ {(1 + {m}^{2}) }^{2} } \times 3}} \\ \\ { \sf{ \frac{dy}{dx} = - \frac{30m}{ {(1 + {m}^{2}) }^{2} } }}$

${ \underline{ \sf{ \blue{christ \:† \: alone }}}}$

8 0

3 years ago

Read 2 more answers

(2x/3)-(2x/5)=-60 and .2x+.9y=19.2

aleksandrvk [35]

Value of x=-225

Value of y=71.33

Explanation :

2x/3-2x/5=-60 (1)

0.2x+0.9y=19.2 (2)

(2x*5-2x*3)/(3*5)=-60

(10x-6x)/15=-60

4x/15=-60

4x=15*-60

4x=-900

x=-900/4=-225

consider (2)

0.2x+0.9y=19.2

substitute the value of x in (2)

0.2*-225+0.9y=19.2

0.9y=19.2+45=64.2

y=(64.2)/(0.9)=71.33

3 0

3 years ago

What is the weight of this pear

Bas_tet [7]

Answer:

178 grams

Step-by-step explanation:

8 0

3 years ago

﻿﻿A car travels 228 km in 3 hours.

A car travels 228 km in 3 hours.