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Maru [420]
3 years ago
12

Express 1764 as a product of their prime factors, giving your answer in index form. Hence evaluate √1764?

Mathematics
1 answer:
STatiana [176]3 years ago
4 0
Hope this helps

index form: 2^2x3^2x7^2
square root of 1764= 42

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Carlos has taken an initial dose of a prescription medication.
Marat540 [252]

Answer:

3.48 hours

Step-by-step explanation:

The equation is:

M(t)=20 e^{-0.86t}

Where

M(t) is the amount of medication remaining in mg

t is the time it takes, in hours

The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??

We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

M(t)=20e^{-0.86t}\\1=20e^{-0.86t}\\0.05=e^{-0.86t}\\Ln(0.05)=Ln(e^{-0.86t})\\Ln(0.05)=(-0.86t)Ln(e)\\t=\frac{Ln(0.05)}{-0.86}\\t=3.48

<u>Note: </u> Ln(e) = 1

This means, the amount of time it will take is about 3.48 hours

8 0
3 years ago
Two similar cylinders have surface areas of 40 π square feet and 90 π square feet. What is the ratio of the height of the large
Sergio [31]
The ratio would be 90pi/40pi.

Hope this helps:)

4 0
3 years ago
1. Write the following sentence as an equation: the product of w and 15 is 165.
Talja [164]
W+15=165
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6 0
3 years ago
Diego's family spends $87 on 4 tickets to the fair and a $39 dinner.
svlad2 [7]

Answer: b. Lin buys a pack of 87 pencils. She gives 39 to her teacher and shared the remaining pencils between herself and 3 friends.

Step-by-step explanation:

Lin buys 87 pencils which is why the entire number line adds up to 87.

She gave 39 of these pencils to her teacher which s why there is a section of the number line that is unlike the rest and is 39 in number.

The rest of the number line is a set of 4 spaces which are equal.

Lin shared the remaining pencils between herself and 3 friends which means she shared the pencils with 4 people. These four equal quantities of pencils are the 4 spaces.

6 0
3 years ago
7 - r/8 - 3d <br><br><br><br> Variables <br><br> r=32 and d= 2
satela [25.4K]

The required value if r = 32 and d = 2 is -3

Given the expression

7-\frac{r}{8} - 3d

Substituting the given variables

r = 32

d = 2

The expression becomes

= 7-\frac{32}{8} - 3(2)\\= 7 - 4 - 6\\= 3 - 6\\= -3

Hence the required value is -3

Learn more here: brainly.com/question/17499155

6 0
3 years ago
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