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3 years ago

You can solve equations using____________, which undo each other.

Mathematics

2 answers:

Elena L [17]3 years ago

5 0

You can solve equations using inverse operations, which undo each other.

IgorC [24]3 years ago

3 0

You can solve equations using inverse operations which undo each other.

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Question 2b only! Evaluate using the definition of the definite integral(that means using the limit of a Riemann sum

lara [203]

Answer:

Hello,

Step-by-step explanation:

We divide the interval [a b] in n equal parts.

$\Delta x=\dfrac{b-a}{n} \\\\x_i=a+\Delta x *i \ for\ i=1\ to\ n\\\\y_i=x_i^2=(a+\Delta x *i)^2=a^2+(\Delta x *i)^2+2*a*\Delta x *i\\\\\\Area\ of\ i^{th} \ rectangle=R(x_i)=\Delta x * y_i\\$

$\displaystyle \sum_{i=1}^{n} R(x_i)=\dfrac{b-a}{n}*\sum_{i=1}^{n}\ (a^2 +(\dfrac{b-a}{n})^2*i^2+2*a*\dfrac{b-a}{n}*i)\\$

$=(b-a)^2*a^2+(\dfrac{b-a}{n})^3*\dfrac{n(n+1)(2n+1)}{6} +2*a*(\dfrac{b-a}{n})^2*\dfrac{n (n+1)} {2} \\\\\displaystyle \int\limits^a_b {x^2} \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} R(x_i)\\\\=(b-a)*a^2+\dfrac{(b-a)^3 }{3} +a(b-a)^2\\\\=a^2b-a^3+\dfrac{1}{3} (b^3-3ab^2+3a^2b-a^3)+a^3+ab^2-2a^2b\\\\=\dfrac{b^3}{3}-ab^2+ab^2+a^2b+a^2b-2a^2b-\dfrac{a^3}{3} \\\\\\\boxed{\int\limits^a_b {x^2} \, dx =\dfrac{b^3}{3} -\dfrac{a^3}{3}}\\$

4 0

2 years ago

The distance from first base to third base is 1.4times the distance from home plate to third base, which is k feet. REPRESENT TH

geniusboy [140]

Answer:

1.4 times k

Step-by-step explanation:

If k feet is the distance from home plate to third base, and the distance from first base to third base is 1.4 times the previous value, then

distance from first base to third base = 1.4 * k or 1.4 times k

If, for example, k=90 feet, then from first to third base there are

1.4*90=126 feet

4 0

3 years ago

You use a debit card to purchase several t-shirts. Your account balance after buying the t-shirts changes by -$30.60. For each t

omeli [17]

Answer:

the number of T-shirts bought was 5

Step-by-step explanation:

After using a debit card, to purchase several t-shirts. Your account balance after buying the t-shirts changes by -$30.60. The negative sign means there was a total debit of $30.6 after your transactions. For each t-shirt you purchased , the changes in your account balance was -6.12. If you purchased n T-shirts, the changes would be

n × -6.12 = -6.12n. This means a total debit of 6.12n for all the T-shirts you bought. Therefore,

6.12n = 30.6

n = 30.6/6.12 = 5

So the number of T-shirts bought was 5

4 0

2 years ago

I really need help on 16 and 18 I'm super confused problem because I'm tired but I really need help

Bogdan [553]

Answer:

Hello,

Step-by-step explanation:

16)

Area of the square= 5²=25 (unit of square)

17)

Volume of the cube =3^3 =27 (unit of volume)

18)

side of the cube =5 (unit of lenght)

Volume of the cube = (5 (unit of lenght)) ^3

=125 * (unit of lenght)^3 =125 (unit of volume)

5 0

1 year ago

Sum of two numbers 120 and difference is 60. Find two<br> numbers.

polet [3.4K]

Answer: 30&90

Step-by-step explanation:

5 0

2 years ago