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ddd [48]
2 years ago
10

PLEASE HELP ASAPPPPP

Mathematics
1 answer:
jarptica [38.1K]2 years ago
8 0

Answer:

Quadrant 2

Step-by-step explanation:

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Prove the divisibility of the following numbers:
ratelena [41]

Make use of prime factorizations:

16^5+2^{15}=(2^4)^5+2^{15}=2^{20}+2^{15}

Both terms have a common factor of 2^{15}:

16^5+2^{15}=2^{15}\left(2^5+1\right)=2^{15}\cdot33

- - -

The second one is not true! We can write

15^7+5^{13}=(3\cdot5)^7+5^{13}=3^7\cdot5^7+5^{13}

Both terms have a common factor of 5^7:

15^7+5^{13}=5^7\left(3^7+5^6\right)

Since 30=5\cdot6, and 5\mid5^7, we'd still have to show that 5^6(3^7+5^6) is a multiple of 6. This is impossible, because 6=3\cdot2 and there is no multiple of 2 that can be factored out.

4 0
2 years ago
Read 2 more answers
Compare the values of the underlined digits 6,300 and 530 with three being the underlined digit.
NNADVOKAT [17]
<span><span /><span>In Comparing 2 underlined numbers which is 3, we need to find its place value In order to be able to find the difference of each given numbers.

First is 6<u>3</u>00 => 6000 + 300 or may also say as 6 thousands + 3 hundreds
therefore the value of underlined number is hundreds

next, 5<u>3</u>0 => 500 + 30 or may also say as 5 hundreds + 3 tens.
Therefore, the value of underlined number tens.

Thus, the difference between the 2 underlined numbers is, the first given digit falls at hundreds place and the second is in tens place.</span></span>



4 0
3 years ago
Perform the operation. Enter your answer in scientific notation.<br><br><br> 3.2 × 107 + 7.2 × 108 =
almond37 [142]

Answer:

1, 120

Step-by-step explanation:

    3.2 x 107 = 342.4

                                               

+   7.2 x 108 = 777.6

_____________________

                       1, 120                          

8 0
3 years ago
Read 2 more answers
A hotel reservation number consists of 5 digits, followed by 1 letters, followed by 3 digits. How many different reservation num
sasho [114]

There are 10 possible digits and 26 possible letters.

To find the answer to this problem we have to multiply 9 as many digits has the hotel reservation number and 26 as many letters it has.

It means:

9\cdot9\cdot9\cdot9\cdot9\cdot26\cdot9\cdot9\cdot9=1,119,214,746

There are 1,119,214,746 possible reservation numbers.

6 0
1 year ago
Car b is 250 miles east from car a, car b is traveling west 60mph while car a is traveling north 80mph. What is the minimum dist
Bogdan [553]

Answer:

d = 200 miles

t = 1.5 hrs after start

Step-by-step explanation:

Set the origin at car a starting point.

equation for distance to car b

x = 250 - 60t

equation for distance to car a

y = 80t

distance between car a and car b

d = √((250 - 60t)² + (80t)²)

d = √(62500 - 30000t + 3600t² + 6400t²)

d = √(62500 - 30000t + 10000t²)

d = 100√(6.25 - 3t + t²)

setting the derivative to zero

0 = 100t - 150 / √(t² - 3t - 6.25)

The denominator cannot be zero, so the numerator must

0 = 100t - 150

150 = 100t

t = 1.5 hrs

d = √((250 - 60(1.5))² + (80(1.5))²)

d = √(160² + 120²)

d = 200 miles

8 0
3 years ago
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