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Lesechka [4]
3 years ago
12

Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1.670 km per hour. What

is the
circumference of Earth's equator?
(Hint. Earth's circumference at the equator is equal to the distance that Earth rotates around the equator).
Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.

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A department store has a discount on shoes based on a percentage of the price. Suppose one pair of shoes is marked down from 80
AysviL [449]

Answer:

Discounted price = $160

Step-by-step explanation:

Let x be the discounted price of shoes.

Given:

A department store has a discount on shoes based on a percentage of the price.

and marked down on one pair of shoes is $80 to $64.

So, the discounted rate = 80 - 64 = 16

therefore, the percent of discount is.

% value  =\frac{discounted\ rate}{original\ rate}\times 100

% value  =\frac{16}{80}\times 100

% value =\frac{16\times 100}{80}

% value =\frac{16\times 10}{8}

% value =2\times 10

% value = 20%

Find the price for a $200 pair of shoes after the same discount is applied.

So the discount is 20% and the discounted price of the shoe is 80% of $200.

% value  =\frac{discounted\ price}{original\ price}\times 100

80 =\frac{x}{200}\times 100

x=\frac{80\times 200}{100}

x=80\times 2

x = $160

Therefore, the discounted price of the shoe is $160.

4 0
4 years ago
20 POINTS
docker41 [41]

answer : option C

f(x) = x^3 + x^2 - 8x - 8

Lets find the number of zeros by factoring

0 = x^3 + x^2 - 8x - 8

Group first two terms and last two terms

0 = (x^3 + x^2) (- 8x - 8)

Factor out GCF from each group

0 = x^2(x + 1)-8(x + 1)

0 = (x^2-8)(x + 1)

Now we set each factor =0 and solve for x

0 = (x^2-8)             and   (x + 1)=0

x^2 = 8            and x = -1

x= 2+-\sqrt{2}     and x= -1

So we have three real zeros

The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

8 0
4 years ago
Lateral area of a prism
olchik [2.2K]
<span>     The surface area of a right prism can be calculated using the following formula: SA 5 2B 1 hP, where B is the area of the base, h is the height of the prism, and P is the perimeter of the base. The lateral area of a figure is the area of the non-base faces only.</span>
3 0
3 years ago
Solve 2,401 = 7^6 - 2x
bulgar [2K]

Answer:

Step-by-step explanation:

2,401 = 7^6 - 2x

2401 + 2x =  117649

           2x = 117649 - 2401

          2x = 115248

x = 115248 / 2

x = 57624

4 0
4 years ago
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What is the twentieth term of the arithmetic sequence described by the<br> equation an= 3n - 10?
sergij07 [2.7K]

Answer:

The twentieth term is 50.

Step-by-step explanation:

The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:

a1 = 3*1 - 10

a1 = -7

Therefore to find the twentieth term we need to make n equal to 20. This is done below:

a20 = 3*20 - 10

a20 = 60 - 10

a20 = 50

The twentieth term is 50.

8 0
4 years ago
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