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kvasek [131]
3 years ago
12

Given u⃗ =⟨3,4⟩ and v⃗ =⟨1,2⟩. Let m be the magnitude of vector u⃗ . Find u⃗ +mv⃗ .

Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer:

\vec u+m\vec v=

Step-by-step explanation:

Being \vec u=<3,4> and \vec v=<1,2>, we must find

\vec u+m\vec v

If m is the magintude of \vec u:

m=\sqrt{a^{2}+b^{2}}

Where a and b are the components of \vec u

m=\sqrt{3^{2}+4^{2}}=5

\vec u+5\vec v=+5=+=

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karen 3 more than 2 times of mary amy sold 5 more than karen

(3x)2+5

4 0
3 years ago
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Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and
MakcuM [25]

Answer:

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

Step-by-step explanation:

<u><em>The complete question is</em></u>

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2. She bought  a total of 14 peaches and bananas altogether. Determine the number of peaches and the  number of bananas that Emily bought

Let

x ----> the number of bananas that Emily bought

y ----> the number of peaches that Emily bought

we know that

She bought  a total of 14 bananas and peaches altogether

so

x+y=14 -----> equation A

She bought $20.80 worth of bananas and peaches

so

0.80x+2y=20.80 -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (6,8)

see the attached figure

therefore

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

3 0
4 years ago
Please help please thanks
alexandr402 [8]
Fraction: 16/75
Decimal: 0.21
8 0
3 years ago
A circle is cut from a square piece of cloth, as shown: How many square inches of cloth are cut from the square? (π = 3.14)
Vinil7 [7]

Answer:

2122.64 in^2

Step-by-step explanation:

Use the formula for the area of a circle: A=πr^2

The radius will be half the width of the cloth so 52÷2=26

26^2=676

Multiply by π given as 3.14

676×3.14=2122.64 square inches.

The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.

8 0
3 years ago
Prasad worked 15 hours this week and earned $195. Assuming he is paid by the hour, how much will Prasad earn next week if he is
kati45 [8]

Answer:

$156

Step-by-step explanation:

First you must find out the number of dollars Prasad receives per hour.

Since he earns $195 in 15 hours we can do 195/15 = 13 to find out the amount of dollars he earns per hour which is $13.

Next we must find out how much money he receives when he work for 12 hours so we simply do 13 (payment per hour) * 12 (amount of hours he works) which will give us $156!

This makes sense cuz 156 is a little bit less than 195 and ofc 12 is a little bit less than 15!

8 0
3 years ago
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