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VladimirAG [237]
3 years ago
11

What is the product of r^2 -3 and 2r

Mathematics
1 answer:
Delvig [45]3 years ago
3 0

Answer:

- 6r³.

Step-by-step explanation:

Here, we have to find the product of r², - 3 and 2r.

Now, the product is, P = (r²)(- 3)(2r)

⇒ P = (- 3) \times (2) \times r^{2}\times r

{Seperating each terms as the terms are in product form}

⇒  P = - 6 \times r^{2 + 1}

{Using the property of exponent that x^{a}\times x^{b} = x^{a + b}}

⇒ P = - 6r³ (Answer)

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Could someone answer and explain these please? Thank you!
Oksana_A [137]

Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

x=(10 \times t)+(1 \times u)

x=10t+u

The two digit number 'y' is obtained by reversing the digits of x.

So, y=(10 \times u)+(1 \times t)

y=10u+t

Now, the value of x-y is expressed as:

x-y=(10t+u)-(10u+t)

x-y=10t+u-10u-t

x-y=9t-9u

x-y=9(t-u)

So, 9(t-u) is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = \frac{a}{1-r}

Since, the sum of the given infinite geometric series = 200

Therefore,\frac{a}{1-r}=200

Since, r=0.15 (given)

\frac{a}{1-0.15}=200

\frac{a}{0.85}=200

a=0.85 \times 200

a=170

The nth term of geometric series is given by ar^{n-1}.

So, second term of the series = ar^{2-1} = ar

Second term = 170 \times 0.15

= 25.5

So, the second term of the geometric series is 25.5






Step-by-step explanation:


8 0
3 years ago
The scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft
NNADVOKAT [17]

Answer:

17 in

Step-by-step explanation:

.5 in : 6 ft

204/6 x .5 = 17

8 0
2 years ago
omar is born weighing 8 pounds, 3 ounces. The doctor says he should gain about 5 ounces each week for the next 4 weeks. How much
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xz_007 [3.2K]

Answer:

0.03

Step-by-step explanation:

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3 years ago
Find the critical value t a/2 needed to construct a confidence interval of the given level with the given sample size. level 95%
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p = 1- α/2 = 1- 0.05/2 = 1-0.025 = 0.975

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From t-tables, with cumulative probability pf 0.975 and df of 10,
Critical value = 2.228
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2 years ago
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