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frez [133]
3 years ago
14

Help please 4/3(2)^3

Mathematics
1 answer:
padilas [110]3 years ago
7 0

PEMDAS:

Parenthesis Exponents Multiplication/Division Addition/Subtraction

4/3 * (2)^3

4/3 * 8

10(2/3) or 10.7 (rounded up)

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Answer:

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3 years ago
The altitude of an equilateral triangle is 15. What is the length of each side?
Bogdan [553]
An equilateral triangle is a triangle where all sides are of equal lengths. So, the angles are of equal values as well which is 60. We use the angle and the height of the triangle to determine the side length. We do as follows:

tan (60) = 15 / base/2
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6 0
3 years ago
Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the
Strike441 [17]

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

y=Ce^{kt}. We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is \frac{dy}{dt}. Thus, the change in the concentration of salt is found in

\frac{dy}{dt}= inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

3(\frac{y}{400})

Therefore,

\frac{dy}{dt}=0-3(\frac{y}{400}) or just

\frac{dy}{dt}=-\frac{3y}{400} and in terms of time,

-\frac{3t}{400}

Thus, our equation is

y=28e^{-\frac{3t}{400} and filling in 16 for the number of minutes in t:

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6 0
3 years ago
Wen is factoring the polynomial, which has four terms.
Firdavs [7]

Answer:

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Step-by-step explanation:

Given

4x³ + 10x² - 6x ← factor out 2x from each term

= 2x(2x² + 5x - 3) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 3 = - 6 and sum = + 5

The factors are + 6 and - 1

Use these factors to split the x- term

2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )

= 2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term

= (x + 3)(2x - 1)

Thus

4x³ + 10x² - 6x = 2x(x + 3)(2x - 1) ← in factored form

5 0
3 years ago
Read 2 more answers
The heights in inches, of some small trees for sale at a garden store are 62, 62, 59, 61, 59, 70, 59, and 62. What is the median
Nana76 [90]

Answer:

Step-by-step explanation:

the mean height, remember is the average

62+62+59+61+59+70+59+62=494/8=61.75

median is the middle value, so we will write the numbers in order

59,59,59,61,62,62,62,70

we have an even number so we add the middle numbers and divide by 2,

the median=61+62=123/2=61.50  

mode is the number that occurs most often : 62 and 59

5 0
3 years ago
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