All categories

4 years ago

Correct Number Formats

Mathematics

1 answer:

IrinaK [193]4 years ago

3 0

Answer:

Step-by-step explanation: From the above question, we have been given some hints to assist in the number interpretation.

Answers are:

-4.99

1.9435

3.25E4

1.56e-9

The above selected numbers have been selected using the hints below:

You cannot have commas in numbers.

You cannot have a space in a number.

You cannot substitute the letter O for zero or the letter l for 1.

You cannot include the units or a dollar sign in the number.

You can have the sign of the number, + or -.

You might be interested in

In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b

madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding $(ax+by)^7$ using Binomial expansion, we have that:

$(ax+by)^7$ =

$(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7$

$= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7$

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> $a^7 = 128$

=> $a = \sqrt[7]{128}\\ \\\\a = 2$

For the second term:

$a^6b = -224$

$b = \frac{-224}{a^6}$

$b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5$

Therefore, a = 2, b = 3.5

5 0

3 years ago

The client is to receive cyclophosphamide (Cytoxan) 50 mg/kg intravenously in divided doses over 5 days. The client weighs 176 p

marishachu [46]

Answer:

800 mg

Step-by-step explanation:

As the excerpt states that the client weights 176 pounds and is to receive cyclophosphamide (Cytoxan) 50 mg/kg, we have to convert 176 pounds to kg:

1 kg → 2.20 pounds

x ← 176 pounds

x= (176 pounds * 1 kg)/2.20 pounds= 80 kg

Now, we have to determine the total amount of cyclophosphamide (Cytoxan) that the client has to receive:

50 mg/kg

For 80 kg: 80 kg *50 mg/kg= 4,000 mg

As the dose is divided over 5 days:

4,000 mg / 5= 800 mg

The client will receive 800 mg of cyclophosphamide each day.

6 0

3 years ago

The level of the top of the water in the ocean is considered to be at an altitude of zero (O) feet.

Gala2k [10]

Answer: don't know sorry

Step-by-step explanation:

5 0

3 years ago

Which expression is equivalent to (10x)^-3?

kolbaska11 [484]

(10x)^ (-3)
= 1/ [(10x)^3]
= 1/ [10^3* x^3]
= 1/ (1000x^3)

The final answer is 1/ (1000x^3), and I don't think there is a correct option to choose from. ( option c would be correct if it were written with round brackets)

Hope this helps~

4 0

3 years ago

Read 2 more answers

A jet plane flies at 450 miles per hour. How far does it travel in 18 minutes

SVEN [57.7K]

<h3><u>How to solve this problem?</u></h3>

The way I would solve this problem is by first finding the unit rate, or the rate that the jet plane travels in one minute. Then I would multiply the rate by the number of minutes I want to know how far the jet plane flies; in this case it would be multiplied by 18 minutes.

<h3><u>Finding the unit rate.</u></h3>

Let's start by finding the unit rate. To find the unit rate we would divide the ratio, 450 miles:60 minutes (one hour) by 60 minutes to make the 60 minutes become one minute and 450 miles become 7.5 miles.

450 miles:60 minutes ÷ 60/60

7.5 miles:1 minute

<h3><u>Solving the question.</u></h3>

The unit rate is 7.5 miles per minute. Since we know the jet plane flies 7.5 miles every one minute, we can multiply this amount by 18 minutes to find how many miles the place can fly in 18 minutes.

7.5 miles * 18 minutes = 135 miles

The answer to your question is the jet plane travels 135 miles in 18 minutes.

4 0

3 years ago

Read 2 more answers