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sweet [91]
3 years ago
10

A leak in a water tank causes The water level to decreased by 3.6 x 10^-2 millimeters each second.

Mathematics
2 answers:
stich3 [128]3 years ago
7 0
C 5.4



Hope this helps
melomori [17]3 years ago
6 0
C.5.4
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The question is in the picture
Snezhnost [94]

Answer:

my bro from another mo it x=10

7 0
3 years ago
A skateboarding ramp is 12 in. high and rises at an angle of 21​°. How long is the base of the​ ramp? Round to the nearest inch.
bagirrra123 [75]

Answer:

the base of the ramp is 31 inches long.

Step-by-step explanation:

c = a/sin(α)

= 33.48514

b = √c2 - a2

= √33.4851373155042 - 122

= √977.25442103816

= 31.26107

3 0
3 years ago
Give the expression 4n^2t/2n^t-1, write the expression as a binomial.
lubasha [3.4K]

 <span>binomial </span>is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.

We sometimes need to expand binomials as follows:

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = a3 + 3a2b + 3ab2 + b3

<span>(a + b)4</span> <span>= a4 + 4a3b</span><span> + 6a2b2 + 4ab3 + b4</span>

<span>(a + b)5</span> <span>= a5 + 5a4b</span> <span>+ 10a3b2</span><span> + 10a2b3 + 5ab4 + b5</span>

Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.

Pascal's Triangle

We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

You can use this pattern to form the coefficients, rather than multiply everything out as we did above.

The Binomial Theorem

We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.

<span>Properties of the Binomial Expansion <span>(a + b)n</span></span><span><span>There are <span>\displaystyle{n}+{1}<span>n+1</span></span> terms.</span><span>The first term is <span>an</span> and the final term is <span>bn</span>.</span></span><span>Progressing from the first term to the last, the exponent of a decreases by <span>\displaystyle{1}1</span> from term to term while the exponent of b increases by <span>\displaystyle{1}1</span>. In addition, the sum of the exponents of a and b in each term is n.</span><span>If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.</span>
7 0
3 years ago
GIVING BRAINLIEST FOR BEST ANSWER!<br> Write a story that could represent this math problem.
xenn [34]

Answer:

Step-by-step explanation:

The third pig is only 2/3 of the way done with his strawberry house, the fourth pig builds a house out of sticks he’s only 2/3 of the way there, the last pig builds a house out of bricks he’s only 2/3 of the way there.

3 0
2 years ago
GEO, TRIGONOMETRY! 45 POINTS AND BRAINLIEST FOR CORRECT ANSWER. NEED HELP ASAP PLEASE :) Isabell is standing at the top of a wat
IRINA_888 [86]

Answer:

h ≈ 39 ft

Step-by-step explanation:

When we draw out a picture, we should see that we have to use cos∅ to solve this:

cos31.66° = x/46

46cos31.66° = x

x = 39.1542

5 0
3 years ago
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