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3 years ago

Indicate whether each of the following fractions is proper or improper.

Mathematics

2 answers:

sweet [91]3 years ago

7 0

A. Proper
B. Improper
C. Improper
D. Proper

sweet [91]3 years ago

4 0

Answer:

Answers are below

Step-by-step explanation:

a. 4⁄16 Proper because the numerator is less than the denominator.

b. 75⁄70 Improper because the numerator is greater than the denominator.

c. 2⁄15 Proper because the numerator is less than the denominator.

d. 6⁄6 Proper because the numerator is less than or equal to the denominator.

If these answers are correct, please make me Brainliest!

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Phoenix [80]

Answer:

$5y^{6}\sqrt{2}$

Step-by-step explanation:

We want to simplify:

$\sqrt{50y^{12}}$

We rewrite as:

$\sqrt{2\times25 \times (y^{6})^2}$

We split the radical sign to obtain:

$\sqrt{25} \times \sqrt{(y^{6})^2} \times \sqrt{2}$

Simplify the square root for the perfect squares to get:

$5y^{6}\sqrt{2}$

Therefore the simplified form is: $5y^{6}\sqrt{2}$

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2 years ago

A store finds that its sales revenue changes at a rate given by S'(t) = −30t2 + 420t dollars per day where t is the number of da

allochka39001 [22]

Answer:

Step-by-step explanation:

Give the rate of change of sales revenue of a store modeled by the equation $S'(t)= -30t^{2} + 420t$ . The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

$\int\limits {S'(t)} \, dt = \int\limits ({-30t^{2}+420t }) \, dt \\S(t) = \frac{-30t^{3} }{3}+\frac{420t^{2} }{2}\\ S(t)= -10t^{3} +210t^{2} \\$

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;

$Given\ S(t) = -10t^{3} + 210t^{2}$

$S(0) = -10(0)^{3} + 210(0)^{2}\\S(0) = 0\\S(7) = -10(7)^{3} + 210(7)^{2}\\S(7) = -3430+10,290\\S(7) = 6,860$

Total sales = S(7) - S(0)

= 6,860 - 0

Total sales for the first week = $6,860

b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;

Total sales for the second week = S(14)-S(7)

Given S(7) = 6,860

To get S(14);

$S(14) = -10(14)^{3} + 210(14)^{2}\\S(14) = -27,440+41,160\\S(14) = 13,720$

The total sales for the second week after campaign ends = 13,720 - 6,860

= $6,860

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3 years ago