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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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A motorboat traveling with a current can go 120 km in 4 hours. Against the current, it takes 6 hours to go the same distance. Fi
Aleks04 [339]

Answer: Speed of motorboat= 25 km hr

Speed of current= 5km hr

Step-by-step explanation:

120/4=  speed of motorboat with the  current

120/6= speed of motorboat against the current

Get the average of those 2 numbers.

Motorboat=25 km hr

Speed of current= 5 km hr

8 0
3 years ago
Imagine you are teaching a younger student how to factor. Describe in full sentences what you would say to teach the young stude
djyliett [7]

Answer:

x^2+ 4x - 21 =(x-3)(x+7)

Step-by-step explanation:

To factor the trimonial: x^2+ 4x - 21, we follow these steps:

Step 1: Multiply the first and last term

-21 \times x^2=-21x^2

Step 2: List out product factors of the term derived above

-21=-1 \times 21\\ -21=-3 \times 7\\-21=3 \times -7\\-21=1 \times -21

Step 3: Determine which of the factors sum up to the middle term 4x

The required product is: -3 and 7

Therefore: -3x+7x=4x

Step 4: Replace the middle term by the expression derived in step 3 and factorize.

x^2+ 7x -3x- 21\\=x(x+7)-3(x+7)\\=(x-3)(x+7)

3 0
3 years ago
The endpoints of a diameter of a circle is (-1,3) and (3,1). Find the center and radius of the circle.
lina2011 [118]
Option C: center (1,2) and radius sqrt 5
3 0
3 years ago
Read 2 more answers
What is the volume of this right prism?<br><br> 96 in³<br><br> 60 in³<br><br> 48 in³<br><br> 44 in³
yulyashka [42]

Answer:

96 in³

Step-by-step explanation:

Volume = 2(BHD) / 2

The 2s cancel out

Volume = 3(8)4

Volume = 96

4 0
2 years ago
Determine the number of real solutions of -2x2 + 5x - 3 = 0.
andrew11 [14]

-2x^2 + 5x -3 =0

Find the discriminate:

In the given formula a = -2, b = 5 and c = -3

The discriminate is found using the formula b^2 - 4(ac)

Replace the letters with their values:

5^2 - 4(-2*-3)

25 - 4*6

25-24 = 1

When the discriminate is greater than or equal to 0, there are two real solutions.

The answer is c) 2

4 0
3 years ago
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