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Vadim26 [7]
2 years ago
13

Convert the following numbers to engineering notation. Where applicable, solve and show answer in engineering notation. (8.2 × 1

03) × (5.0 × 104) =
Mathematics
1 answer:
snow_tiger [21]2 years ago
6 0

Engineering notation of the number  (8.2 × 103) × (5.0 × 104) is

4.39192 × 10⁵

OR

4.4 ₓ 10⁵.

<h3>What is engineering notation ?</h3>

Engineering notation is same as scientific notation.

According to the given question

Converting (8.2 × 103) × (5.0 × 104) to engineering notation can be done using a base and raising it to the power of 10.

Base can be greater than or equal to 1 and less than 10.

Suppose base is a

∴ 1≤a<10 and the number in engineering notation will be of the form a×10ⁿ

Given (8.2 × 103) × (5.0 × 104) which is

=  844.6 × 520

= 439192

=4.39192 × 10⁵

= 4.4 ₓ 10⁵.

Learn more about scientific notation here :

brainly.com/question/18073768

#SPJ1

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Complete the frequency table:
SOVA2 [1]

The percentage of students age 15 and above travel to school by bus is 47%

<h3>How to complete the table?</h3>

The table of values is given as:

                     Method of Travel to School

                            Walk/Bike    Bus    Car Row totals

Under age 15                            18                 165

Age 15 and above    65                                 195

Column totals          152          110        98      360

Using the column total of column 1, we have:

Under age 15 + 65 = 152

This gives

Under age 15 = 87

Using the column total of column 2, we have:

Age 15 and above + 18 = 110

This gives

Age 15 and above  = 92

Using the row total of row 1, we have:

Car + 87 + 18 = 165

This gives

Car = 60

Using the row total of row 2, we have:

Car + 65 + 92 = 195

This gives

Car = 38

So, the complete frequency table is

                     Method of Travel to School

                            Walk/Bike    Bus    Car Row totals

Under age 15           87              18      60        165

Age 15 and above    65          92        38        195

Column totals          152          110        98      360

The percentage of students age 15 and above travel to school by bus is:

Percentage = 92/195 * 100%

This gives

Percentage = 47%

Read more about frequency table at:

brainly.com/question/12576014

#SPJ1

5 0
1 year ago
Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr
drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

AC^2= AB^2+BC^2

\Rightarrow (x+3)^2=x^2+8^2

\Rightarrow x^2+6x+9=x^2+64

\Rightarrow 6x=64-9=55

\Rightarrow x=55/6=9.17 chi.

Hence, the height of the pole, AB=x=9.17 chi,

and the length of the rope, x+3=9.17+3=12.17 chi.

8 0
3 years ago
Which value of x is in the domain of f(t) = squared x - 7
zloy xaker [14]

Given:

The given function is:

f(x)=\sqrt{x-7}

To find:

The value of x that is in the domain.

Solution:

Domain is the set of input values.

We have,

f(x)=\sqrt{x-7}

We know that the square root is defined for non negative values. So,

x-7\geq 0

x\geq 0+7

x\geq 7

Thus, the domain of the given function is all real number that are greater than or equal to 7.

In the given options 0, -3, 6 are less than 7 but 8 in option A is the only value that is greater than 7. So, x=8 is in the domain of the given function.

Therefore, the correct option is A.

8 0
2 years ago
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM​
Klio2033 [76]

Answer:

V ≈ 2011 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = area of base × perpendicular height

V = πr²h ( r is the radius and h the height )

Here r = 8 and h = 10, thus

V = π × 8² × 10

  = π × 64 × 10 = 640π ≈ 2011 cm³ ( to nearest whole number )

3 0
3 years ago
I need your help if the airplane was at altitude of 800 feet above sea level. It landed at airport 45 feet below sea level. Whic
kipiarov [429]

Answer:

800 ft above sea level

Step-by-step explanation:

6 0
3 years ago
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