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Ksju [112]
2 years ago
5

Maria is traveling for business. She starts by traveling from Mexico City to Singapore which is about 1.26 x 104 miles. She then

travels from Singapore to New York which is approximately 9.53 x 103 miles. What is the total distance that Maria traveled?
A) 1.079 x 104 miles

B) 1.079 x 103 miles

C) 1.079 x 107 miles

D) 2.213 x 104 miles
Mathematics
1 answer:
Shkiper50 [21]2 years ago
8 0

Answer:

The total distance that Maria traveled is 2.213 \times 10^4 miles.

Step-by-step explanation:

Given : Distance between Mexico City to Singapore = 1.26  \times 10^4 miles.

Distance between Singapore to New York = 9.53 \times 10^3 miles.

To Find : What is the total distance that Maria traveled?

Solution;

Distance traveled by Maria from  Mexico City to Singapore =1.26  \times 10^4 miles.

Distance traveled by Maria from Singapore to New York =9.53 \times 10^3 miles.

So, Total distance traveled = 1.26  \times 10^4 +9.53 \times 10^3

                                            =12600+9530

                                            =22130

                                            =2.213 \times 10^4

Hence the total distance that Maria traveled is 2.213 \times 10^4 miles.

So, Option D is true .

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AlekseyPX

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Find the surface area of the triangular prism. A triangular prism. The base is a right triangle with base 1 foot, height 2 feet
mylen [45]

Answer:

<h2>17.6ft²</h2>

Step-by-step explanation:

The formula for calculating the surface area of a triangular prism is expressed as shown below:

SA= bh + pH

b= base of the triangle

h- height of the triangle

p= perimeter of the triangle

H= height of the prism

Given b = 1foot

h = 2feet

perimeter of the triangle = sum of all its sides = 1ft + 2ft + 2.2ft

p = 5.2ft

H = 3ft

Substituting the values into the formula for finding the surface area:

SA = 1(2)+5.2(3)

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3 0
2 years ago
For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7
Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean 210x^6y^4

We can deduce that this term will be located somewhere in the middle. So I will calculate k= 5; k=6 \text{ and } k =7.

For k=5

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just x^{n-k} y^k

For k=6

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0
2 years ago
Which pair represents the same complex number?
lorasvet [3.4K]
For this case we have the following complex number:
 1 + i
 Its equivalent pair is given by:
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 Rewriting we have:
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 Answer:
 
option A represents a pair with the same complex number
4 0
2 years ago
Read 2 more answers
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