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
Nady [450]
3 years ago
14

What is the length (magnitude) of the vector (7, -2)?

Mathematics
2 answers:
lara [203]3 years ago
8 0

remember to give me a heart (thank?) lol :>

Sedbober [7]3 years ago
4 0

Answer: B

Step-by-step explanation:

I just got it right on A P E X

have a good day

You might be interested in
What is the answer for -3(-5) - 16?
harina [27]

Answer:

-1

Step-by-step explanation:

-3x(-5)-16

15-16

-1

4 0
3 years ago
Evaluate: \frac{23}{56} + \frac{3}{8} - ( - \frac{4}{28} )
MrMuchimi
I think this is what you mean. I don't know why the Latex didn't work. Good for you that you can use it.

\frac{23}{56} +  \frac{3}{8} - \frac{-4}{28}
\frac{23}{56} + \frac{3}{8} - \frac{-4}{28} Reduce the 4/28 to 1/7
\frac{23}{56} + \frac{3}{8} - \frac{-1}{7} Make the 2 minuses into a +
\frac{23}{56} + \frac{3}{8} + \frac{1}{7} 56 is the common denominator.
\frac{23}{56} + \frac{21}{56} + \frac{8}{56}

Answer = [23 + 21 + 8] / 56 = 52 / 56 = 13 / 14 When both numerator and denominator are divided by 4

13 / 14 <<<< answer.
5 0
3 years ago
Samuel is going to invest $4,900 and leave it in an account for 14 years. Assuming the
Vladimir79 [104]

Answer:

0.054

Step-by-step explanation:

Using the compound formula A=P(1+r/n)^nt we can plug in the numbers we know. A being the total, P the initial amount, n is the number of compounds in a year, and t is the number of years passing. So 10300= 4900(1+ r/2)^2(14). We have to isolate r in order to find the rate. We can divide both sides by 4900, giving us 103/49= (1+ r/2)^28. Then we take the 28 square root from both sides. 1.02689= 1 + r/2. Subtract 1 from both sides. 0.02689= r/2. Then multiply both sides by two. r= 0.054.

3 0
2 years ago
A rectangular package sent by a postal service can have a maximum combined length and girth (perimeter of a cross sectio) of 108
Morgarella [4.7K]

Answer:

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

Step-by-step explanation:

This is a optimization with restrictions problem.

The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).

This restriction can be expressed as:

4x+L=108

being x: the side of the square of the cross section and L: length of the package.

The volume, that we want to maximize, is:

V=x^2L

If we express L in function of x using the restriction equation, we get:

4x+L=108\\\\L=108-4x

We replace L in the volume formula and we get

V=x^2L=x^2*(108-4x)=-4x^3+108x^2

To maximize the volume we derive and equal to 0

\dfrac{dV}{dx}=-4*3x^2+108*2x=0\\\\\\-12x^2+216x=0\\\\-12x+216=0\\\\12x=216\\\\x=216/12=18

We can replace x to calculate L:

L=108-4x=108-4*18=108-72=36

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

4 0
3 years ago
Read 2 more answers
Show questions
cupoosta [38]

Answer:

The cost is a fixed $2, plus $3.25 for any additional hour.

Then if you rent it for x hours, the cost is:

c(x) = $2 + $3.25*x

Is this situation continuous or discrete?

Yes, it is discrete, because x is "the number of hours"

so if you rent it for 1.30 hours, they will say "ok, this is equivalent to two hours".

This means that while the values of x are continuous, the possible costs are:

{$2, $2 + $3.25, $2 + 2*$3.25, ....}

Which is a discrete set.

Then the sign for 1 to 5 hours will be:

1 hour ---------- $2 + $3.25 = $5.25

2 hours -------- $2 + 2*$3.25 = $8.50

3 hours--------- $2 + 3*$3.25 = $11.75

4 hours--------- $2 + 4*$3.25 =  $15

5 hours -------- $2 + 5*$3.25 = $18.25

In the other park the cost is only $4 for each hour (no fixed cost) then the total cost for x hours is:

c(x) = $4*x

Now, which option is better?

If we look at the costs for different numbers of hours for this other equation, we have:

1 hour ----- $4

2 hours ---- 2*$4 = $8

3 hours ----- 3*$4 = $12

4 hours ------ 4*$4 = $16

Then: if you want to skate 2 hours or less, Skate City is cheaper, if you want to skate more than that, kate Days is cheaper.

This happens because the first one has a smaller slope, meaning that is larger at first, but as x grows the price does not grow as much as in Skate City

7 0
3 years ago
Other questions:
  • A sapling, or young tree, is planted in a garden. After 3 years, it is 180 cm tall. After 7 years, it is 368 cm tall. How tall w
    12·1 answer
  • Solve -4x(6x+3)= -12(x+10)
    15·2 answers
  • You score an 84 on the first of two exams. Write and solve an equation to find the score x that you need on the second exam to h
    9·1 answer
  • 20/32 reduce to its lowest term
    8·2 answers
  • Help me please........
    12·2 answers
  • Leo buys 5 dvds for 60 dollars at this rate,how much would he pay for 3 dvd
    11·1 answer
  • Please please please help!! 30 points!!
    8·2 answers
  • |9-4|-(-3•6)=<br> Evaluate the expression
    9·1 answer
  • Ax+By=C (I need to solve for x)
    12·1 answer
  • The net of a cube is shown on the coordinate plane. What is the surface area of the cube? A) 1 in2 B) 6 in2 C) 12 in2 D) 14 in2
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!