1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
emmasim [6.3K]
3 years ago
7

Find the magnitude of the vector v=<-1,3>.√101082√2​

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0

Answer:

√10

Step-by-step explanation:

Magnitude of a vector:

The magnitude of a vector v = <a,b> is given by:

|v| = \sqrt{a^2 + b^2}

v=<-1,3>

Then:

|v| = \sqrt{(-1)^2 + 3^2} = \sqrt{1 + 9} = \sqrt{10}

\sqrt{10} is the magnitude of the vector.

You might be interested in
Find the domain of the function
Svetradugi [14.3K]

Answer:

<em>The domain of f is (-∞,4)</em>

Step-by-step explanation:

<u>Domain of a Function</u>

The domain of a function f is the set of all the values that the input variable can take so the function exists.

We are given the function

f(x)=\frac{1}{\sqrt{4-x} }

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:

4 - x > 0

Subtracting 4:

- x > -4

Multiplying by -1 and swapping the inequality sign:

x < 4

Thus the domain of f is (-∞,4)

7 0
2 years ago
Complete the matrix addition
Anna007 [38]

Answer:

the answer is b

picture and shown

6 0
3 years ago
When I count as a principal of $1000 and earns 4% simple interest per year and other account as a principal $1000 and earns 4% i
OLga [1]

Answer: the account that earned compound interest has the greater balance at the end of four years.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount invested.

P represents the principal or amount invested.

R represents interest rate

T represents the duration of the investment in years.

From the information given,

P = 1000

R = 4%

T = 4 years

I = (1000 × 4 × 4)/100 = 160

Total amount earned is

1000 + 160 = $1160

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1000

r = 4% = 4/100 = 0.04

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,.

A = 1000(1+0.04/1)^1 × 4

A = 1000(1.04)^4

A = $1170

3 0
3 years ago
Jack leaves from school and goes 4 miles north and 3 miles east to reach his home. How far is his home from school?
fiasKO [112]

Answer:

  • D. 5 miles

Step-by-step explanation:

Jack forms a right triangle with his route: the distance between the school and home is the hypotenuse.

<u>It is equal to:</u>

  • √4²+3²= √25 = 5 miles

Correct choice is D

3 0
3 years ago
Help plz!! The function h(t)=-16t^2+22t+4 models the height (h) of a football t seconds after it is thrown. The question ask to
Black_prince [1.1K]
If you're familiar with the quadratic equation
\frac{ -b \pm \sqrt{b^2-4ac}}{2a}

well, \frac{ -b}{2a} is the x component of the vertex, in your case, the vertex is the highest point

figure out what t is at the highest point, and then substitute that back into the equation in order to determine height

x=t in this problem
8 0
3 years ago
Other questions:
  • Are the following statements true or false? 1. If F⃗ is a vector field in 3-dimensional space, and W is a solid region with boun
    15·1 answer
  • Change 1/6 to a decimal
    9·2 answers
  • Ralph Phillips obtained a 12 month, $1500.00 loan at 12%. His monthly payment is $135.20. For the first payment find:
    9·1 answer
  • In your own words, describe the difference between a dilation and a stretch. *
    13·1 answer
  • The population of a town increases at a rate of 5% every year. The population of this town was 10,400 in 2017. What will
    5·1 answer
  • the greater roadrunner bird can run 14 miles per hour that's 7 times faster than an ostrich can walk how fast does an ostrich wa
    13·1 answer
  • Solve (3x-2) (4x+1)
    5·1 answer
  • Please help ASAP!
    11·1 answer
  • Ratios for 42 and 54
    13·2 answers
  • Please help..Thank you❤️
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!