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Phantasy [73]
4 years ago
6

(50 Points Please help)

Mathematics
2 answers:
kondaur [170]4 years ago
6 0

Answer:answer is in the image

Step-by-step explanation:

Elina [12.6K]4 years ago
5 0

Answer:

A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters

B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters

C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers

D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers

Step-by-step explanation:

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10 meters = 11 meters. Thus, this is a reasonable length.

B. Width of an apple.  

The most appropriate unit to measure the width of an apple should be centimeter. It certainly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4 centimeters.

C. Distance from Earth to a Satellite

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is nonseasonal (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

D. Thickness of a human hair

Of course, kilometers, meters, centimeters and even millimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ millimeters.

In the internet you can find that diameter of the human hair is in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement for the thickness of a human hair.

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love history [14]

Answer:

y<-8

Step-by-step explanation:

y+6<-2

Isolate y

y<-2-6

Simplify

y<-8

If this helps please mark as brainliest

4 0
3 years ago
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The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased b
masha68 [24]

Answer:

The fraction is \frac{4}{6}

Option (B) is correct.

3n-2d=0  and 4n+8=3d+6

Step-by-step explanation:

Let n denotes numerator and d denotes denominator of the fraction.

Given : The ratio of the numerator to the denominator of a fraction is 2 to 3.

That is \frac{n}{d}=\frac{2}{3}

Cross multiply , we get,

3n=2d

Or, 3n-2d=0   ........(1)

Also, given : . If both the numerator and the denominator are increased by 2, the fraction becomes 3/4

That is \frac{n+2}{d+2}=\frac{3}{4}

Cross multiply , We get,

4{n+2}={3}{d+2}

4n+8=3d+6  .........(2)

3d-4n=2  .......(3)

Thus, from (1) and (2) , option (B) follows.

Solving equation (1) and (3) to get the original fraction using elimination method,

3n - 2d = 0    ............(1)

and 3d - 4n = 2       .........(3)

Multiply equation (1) by 3 , we get ,

9n - 6d = 0  ..........(4)

Multiply equation (3) by 2 , we get ,

-8n + 6d = 4 ..........(5)

Adding (4) and  (5) , we get,

9n - 6d -8n + 6d = 4 + 0

⇒ n = 4

Put n = 4 in (1), we get

3n - 2d = 0 ⇒ 3(4) - 2d = 0 ⇒ 12 -2d = 0  ⇒  12 = 2d ⇒ d = 6

so, the numerator is 4 and  the denominator is 6.

Thus, the fraction is \frac{4}{6}


6 0
3 years ago
Kiran and Mai are trying to figure out if this equation is an identity, what do you think
ValentinkaMS [17]

Expanding the left side of the equation, it is found that since <u>both sides are equal</u>, yes, it is an identity.

An equality represents an identity if <u>both sides are equal</u>.

In this problem:

(a - b)^4 = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4

Expanding the left side:

(a - b)^2(a - b)^2 = a^4 - 4a^3b + 6a^2b^2 + 4ab^3 + b^4

(a^2 - 2ab + b^2)(a^2 - 2ab + b^2) = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4

a^4 - 4a^3b + + 6a^2b^2 - 4ab^3 + b^4 = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4

Since <u>both sides are equal</u>, yes, it is an identity.

A similar problem is given at brainly.com/question/24866308

7 0
3 years ago
What is the answer to this Jayla multiplies 8.0 by 40 and says the product is 8.0000 is Jayla correct?
egoroff_w [7]

Answer:

No she is wrong

Step-by-step explanation:

The correct answer is 320

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