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Fofino [41]
3 years ago
13

Which pairs of numbers in scientific notation shows one number that is about 20 times as great as the other number?

Mathematics
1 answer:
laiz [17]3 years ago
8 0

Answer:

Option C, D, E

Step-by-step explanation:

To find : Which pairs of numbers in scientific notation shows one number that is about 20 times as great as the other number?

Solution :

We divide large number by smaller number to get the required answer,

A)  \frac{2.01\times 10^7}{4.25\times 10^6}=4.7294\approx 4

B) \frac{5.97\times 10^4}{3.12\times 10^3}=19.1346153846\approx 19

C) \frac{4.91\times 10^6}{5.09\times 10^3}=9365.4033\approx 9365

D) \frac{8.21\times 10^{-3}}{4.13\times 10^{-4}}=19.8789\approx 20

E)  \frac{6.22 \times 10^{-7}}{2.94\times 10^{-8}}=21.156462585\approx 21

Option C, D and E pairs of numbers in scientific notation shows one number that is about 20 times as great as the other number.

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The lines y1 = 2x - 6, y2 = -3x + 4, y3 = -1/2x + 4 intersect to form the sides of a right triangle. Find the perimeter and area
tino4ka555 [31]

The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

<h3>Determining the perimeter and area of the triangle giving line equation</h3>

In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.

The points of intersection of the line are;

(x₁, y₁) = (- 0.4, 5.2),

(x₂, y₂) = (-0.8, 4.4),

(x₃, y₃) = (0, 4)

Determine the base

b² = c² -a²

b = √(-0.8)² + (4 - 4.4)²

b = 2√5 / 5

Determine the height

h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²

height = 2√5 / 5

For the hypotenuse

r = √2 · b

r = 2√10 / 5

<h3>Determine the Perimeter and area</h3>

Perimeter = s1+s2+s3

Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5

Perimeter = (2√10 + 4√5) / 5 units

<u>For the area</u>

area = 1/2* base * height

A = 0.5 · (2√5 / 5) · (2√5 / 5)

A = 2/5 square units

Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

Learn more on area and perimeter of triangles here: brainly.com/question/12010318

#SPJ1

3 0
2 years ago
G = {(5,3), (2, 3), (6,4)} Is G^-1 a function and why?
sleet_krkn [62]

Answer:

The inverse relation G^(-1) is not a function. Why not? Because the y value y = 3 is paired up with more than one x value (x = 5, x = 2). The inverse relation G^(-1) is the set shown below

{(3,5), (3,2), (4,6)}

All I've done is swap the (x,y) values for each ordered pair to form the inverse relation. As you can see, x = 3 leads to multiple y value outputs which is why this relation is not a function. So in short, the answer is choice C. To have the inverse relation be a function, each value in the original domain must map to exactly one value in the range only. However that doesn't happen as the domain values map to an overlapping y value (y = 3).

5 0
3 years ago
New codes to destroy the First Order are known to exist. With probability 0.6, the codes are hidden by Leia; with probability 0.
elixir [45]

Answer: (a). 0.62 (b). 0.53

Step-by-step explanation:

Let us start by defining some events seen:

Given;

L rep the event that codes hidden Leia

BB represents the codes hidden in BB-8

H is the event that codes hidden by Hah

C-3PO rep the codes hidden in C3PO

Giving the probabilities, we have that

P(L)  =  probability that codes are hidden by Leia = 0.6

P(H) = probability that codes are hidden by Hah = 0.4

where P(BB/L) = 70/10 i.e 70%

P(C-3PO/L) = 1 - P(BB/L) = 1 - 7/10 = 3/10

Also, P(BB/H)  = 1/2 = P(C-3PO/H)

We can say that Han Solo is likely to hide them in aceta BB-8 and C-3PO

To begin,

(a). The question tell us to find the probability that the codes are with BB-8.

First of all, we find P(BB).

P(BB) = P(L)*P(BB/L) + P(H)*P(BB/H)

solving this we get

P(BB) = 0.6*7/10 + 0.4*1/2 = 0.62

Therefore,  the probability that the codes are with BB-8 = 0.62

(b). The second question says;

Given that the codes are with C-3PO, what is the probability the codes were hidden by Han Solo?

This tell us to find P(H/C-3PO)

P(H/C-3PO) = P(C-3PO/H)*P(H) / P(C-3PO/H) + P(C-3PO/L)*P(L)

inputting the values gives us;

P(H/C-3PO) = 1/2 * 0.4 / ( 1/2 *0.4 + 3/10 *0.6) = 0.53

SO we have that the probability the codes were hidden by Han Solo = 0.53

cheers I hope this was helpful!!

3 0
3 years ago
Please help Find the area of the rectangle by multiplying its length and width.
Julli [10]

the answer is D. man

7 0
3 years ago
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melamori03 [73]

Answer:

The correct option is <u>$2.50</u>.

Step-by-step explanation:

This can be determined by calculating the change in total cost of lunch using the data given in the question as follows:

Slice of pizza     Total cost of lunch ($)    Change in total cost of lunch ($)

         0                                7.5                                          -

         1                                 10                                          2.5

         2                                12.5                                       2.5

         3                                 15                                          2.5

         4                                 17.5                                       2.5

         5                                 20                                         2.5

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         7                                 25                                         2.5

         8                                 27.5                                      2.5

Since the change in total cost of lunch in table abov is constant at $2.50, this implies that for each additional slice of pizza that is purchased, the total cost of lunch increases by $2.50.

Therefore, the correct option is <u>$2.50</u>.

7 0
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