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GaryK [48]
3 years ago
15

Can someone answer these questions ? thank you

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:

Step-by-step explanation:

12a)To rationalize the denominator, multiply the denominator and numerator by √5.

\frac{15}{\sqrt{5}}=\frac{15*\sqrt{5}}{\sqrt{5}*\sqrt{5}}\\\\=\frac{15\sqrt{5}}{5}\\\\=3\sqrt{5}

b) (a+b)² = a² + 2ab + b²

(1 +√3)² = 1² + 2*1*√3 + (√3)²

= 1 + 2√3 + 3

= 4 + 2√3

a = 4 ; b =2

13) (a + b)(a - b) = a² - b²

\frac{(6-\sqrt{5})(6+\sqrt{5})}{\sqrt{31}}=\frac{6^{2}-(\sqrt{5})^{2}}{\sqrt{31}}\\\\ =\frac{36-5}{\sqrt{31}}\\\\=\frac{31}{\sqrt{31}}\\\\=\frac{31*\sqrt{31}}{\sqrt{31}*\sqrt{31}}\\\\=\frac{31\sqrt{31}}{31}\\\\=\sqrt{31}

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siniylev [52]
Make them both improper fractions
13/3 divided by 11/9
Divide = multiply reciprocal
13/3 * 9/11 = 117/11 = 10 7/11
4 0
2 years ago
An investment banker deposited $50,000 in an account earning a nominal 6% per year compounded continuously. How much was in the
Orlov [11]

Answer:

The amount in the account at the end of three years will be $59,861.

Step-by-step explanation:

The formula to compute the amount at the end of <em>t</em> years, compounded continuously is:

A=P\times e^{t\times i}

Here,

A = Amount at the end

P = Principal amount

i = interest rate

t = number of years.

It is provided that:

P = $50,000

i = 6%

t = 3 years

Compute the amount in the account at the end of three years as follows:

A=P\times e^{t\times i}

   =50000\times e^{(3\times 0.06)}\\=50000\times 1.19722\\=59861

Thus, the amount in the account at the end of three years will be $59,861.

5 0
3 years ago
6k &lt; 100<br> Check all that are true.<br><br> k = 5<br><br> k = 15<br><br> k = 10<br><br> k = 20
Elden [556K]

Answer:

True: 5, 15,  and 10

Step-by-step explanation:

6*5=30 Correct, 30 is less than 100

6*15=90 Correct, 90 is less than 100

6*10=60 Correct, 60 is less than 100

6*20=120 Wrong, 120 is greater than 100

7 0
3 years ago
Read 2 more answers
A carpenter made a storage container in the shape of a rectangular prism. it is 5 feet high and has a volume of 720 cubic feet.
zimovet [89]
Volume of a triangular prism = base area x height

720 = base area x 5

base area = 720 ÷ 5 = 144 ft²

------------------------------------------------------------
Answer: The base area is 144 ft²
------------------------------------------------------------


5 0
3 years ago
A particular plant root grows 2.5 inches per month. How many centimeters is the plant root growing per month? (1 inch = 2.54 cen
sesenic [268]
It grows 2.5 inches in a month,
and 1 inch=2.54cm
then to know how many cm the plant grows in a month, we multiply
2.5*2.54=6.35cm
7 0
3 years ago
Read 2 more answers
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