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zvonat [6]
3 years ago
12

Evaluate the quotient of 1.05 x 103 and 1 x 103:

Mathematics
2 answers:
lyudmila [28]3 years ago
8 0
The answer would be Letter C

(1.05 x 10^3)
-----------------
(1 x 10^3)

Divide the 1.05 by 1 and get 1.05
Divide 10^3/10^3 and get 10^(3-3) = 10^0
So: 1.05 x 10^0
Flauer [41]3 years ago
8 0

Answer:

C) 1.05\times 10^0

Step-by-step explanation:

Here, the given expression is,

\frac{1.05\times 10^3}{1\times 10^3}

=\frac{1.05\times 10^3\times 10^{-3}}{1}   (a^m=\frac{1}{a^{-m}})

=1.05\times 10^{3-3}      (a^m.a^n=a^{m+n})

=1.05\times 10^0

Which is the required quotient.

Option 'C' is correct.

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Factor: -49x^2+ 7y^2 + 133
prisoha [69]

Answer:

-7 (7x^2-y^2-19)

Step-by-step explanation:

5 0
3 years ago
Monica sells lemonade over the summer and uses conical paper cups to serve
Alina [70]

Answer: She would need 206 paper cups.

Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.

Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;

Volume of a cone = (πr²h)/3

Volume of a cone = (3.14 * 4² * 11)/3

Volume of a cone = 552.64/3

Volume of a cone = 184.2

If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;

Number of cups = Total volume/Volume of a cup

Number of cups = 37850/184.2

Number of cups = 205.48

Rounded to the nearest whole number, this becomes

Number of cups ≈ 206

Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.

4 0
4 years ago
PLEASE HELP I WILL GIVE BRAINLIEST!! What is the area of the figure? Enter your answer in the box. in² A square with a length of
m_a_m_a [10]

Answer:

Step-by-step explanation:

10 by 2

7 0
3 years ago
Please please PLEASE HELP I NEED IT RNNNNNN
hichkok12 [17]

Answer:

-2 is the answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help!posted picture of question
olchik [2.2K]
Answer:
\frac{x^2 - 5}{4x + 1}, x ≠ -1/4

Explanation:
We are given that:
f (x) = 4x + 1
g(x) = x² - 5

We want to find the value of (g/f)(x). This means that we will simply divide g(x) by f(x) as follows:
( \frac{g}{f} )(x) =  \frac{g(x)}{f(x)} =  \frac{x^2 - 5}{4x + 1}

Now, we should note that any function is undefined if its denominator is equal to zero.
This means that for our current function:
4x + 1 cannot be equal to zero
4x + 1 = 0
4x = -1
x = -1/4
This means that the value of x cannot be -1/4, otherwise, our function would be undefined.

Based on the above, the last option is the correct one.

Hope this helps :)
8 0
3 years ago
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