A+b = (5i + j) + (i - 3j) = 6i - 2j
2a + 3b = 2(5i + j) + 3(i - 3j) = 10i + 2j + 3i - 9j = 13i - 7j
|a| = sqrt((5^2)+(1^2)) = sqrt(26)
|a-b| = |(5i+j) - (i-3j)| = |4i+4j| = sqrt((4^2)+(4^2)) = sqrt(32)
Answer: Allison will budget $937.50 for the venue and $312.50 for thank-you gifts.
Step-by-step explanation:
Subtract $1,750 from Allison's budget of $3,000 to see how much Allison can budget for the venue and thank-you gifts.
$3,000-$1,750=$1,250
Allison can budget $1,250 for the venue and thank-you gifts.
Multiply $1,250 by 3/4 to calculate how much money Allison will budget for the venue.
$1,250⋅34=$937.50
Multiply $1,250 by 1/4 to calculate how much money Allison will budget for thank-you gifts.
$1,250⋅1/4=$312.50
Allison will budget $937.50 for the venue and $312.50 for thank-you gifts.
The factors of 63 is 1,3,7,9,21,63
Answer:
The arctic wolly bear is frozen 2,299.5 days of its life.
Step-by-step explanation:
With the information provided, first, you have to calculate the number of days in 7 years by multiplying 7 years for 365 that is the number of days in a year:
7*365=2,555
Then, you have to calculate 90% of 2,555 since the statement indicates that the arctic wooly bear caterpiller spends 90% of its life frozen:
2,555*90%=2,299.5
According to this, the answer is that the arctic wolly bear is frozen 2,299.5 days of its life.