Find the unit vector of -2i - j.

Answer:

D

Step-by-step explanation:

got it correct on EDMENTUM

Answer:

x = 5

Step-by-step explanation:

(7x + 16) = 90 - 39

7x + 16 = 51

7x = 51 - 16 = 35

x = 5

Answer:

560

Step-by-step explanation:

Step-by-step explanation:

Coordinates of A≡(−1,3)

Coordinates of B≡(7,9)

Coordinates of C≡(15,-3)

The median through the vertex C will meet at the mid point of AB.

Coordinate of mid-point on AB=[(-1+7)/2 , (3+9)/2]= (3,6)

Now,

Length of median through vertex C= Distance between (15,-3) and (3,6)

Therefore,

Length of median = √(3-15)²+(6-(-3))²=√144+81=15unit

Hence the length of median through the vertx C is 15 units.

Answer:

35 dogs

Step-by-step explanation:

Given

[tex]49\ dogs: 28\ cats[/tex]

Required

Determine the number of dogs for 20 cats

Represent the required number of dogs as a ratio of number of cats

[tex]x : 20\ cats[/tex]

So, we have:

[tex]49\ dogs: 28\ cats[/tex]

[tex]x : 20\ cats[/tex]

Since, the ratio is the same throughout, we have:

[tex]x : 20\ cats[/tex] = [tex]49\ dogs: 28\ cats[/tex]

Convert ratio to fraction

[tex]\frac{x}{20} = \frac{49}{28}[/tex]

[tex]\frac{x}{20} = \frac{7}{4}[/tex]

Multiply through by 20

[tex]x = \frac{7}{4} * 20[/tex]

[tex]x = 7 * 5[/tex]

[tex]x = 35[/tex]

Answer:

It would take her 90 minutes to run 10 miles.

Step-by-step explanation:

First you should divide 54 by 6 and you'll get 9. So it takes her 9 minutes to run 10 miles (which is physically impossible). You multiply 9 times 10 and get 90.

Answer:

Formula: Future value of annuity

In 20 years: $249,875

Total Interest: $99,875

Step-by-step explanation:

Use the formula for future value:

FV =

P = $6,000

r = 0.04

n = 1

t = 25

FV =

FV = $249,875

To find the total interest earned, first find the total value of the deposit payments:

$6,000 annual payments for 25 years = 6,000 • 25

= $150,000

(I copied that explanation from somewhere else so its a little messed up. I just couldn't explain it properly. Hope this helps!)

Account balance In 20 years is $249,875 and total interest earned is $99,875.

The FV formula assumes a constant rate of growth and a single up-front payment left untouched for the duration of the investment. The FV calculation can be done one of two ways, depending on the type of interest being earned.

We have,

P = $6,000

r = 0.04

n = 1

t = 25

We know the formula for future value

​FV= PV [tex](1 + r)^{n}[/tex].

where:

P=Investment amount

R=Interest rate

T=Number of years

According to the question​​

FV=$6,000×(1+0.04

FV = $249,875

To find the total interest earned, first find the total value of the deposit payments:$6,000 annual payments for 25 years = 6,000 × 25= $150,000

Total interest earned = FV - annually payment for 25 year = $249,875 - $150,000 = $99,875

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Answer:

A

Step-by-step explanation:

96 ounces = to 6 pounds

7-6=1

Answer:

Concept: Percentage Change

Answer:

The boys' comic books are on the teacher's desk

comically

Step-by-step explanation:

Answer: a = 47.3;

              p = 0.65

Step-by-step explanation: A power function is of the form [tex]y=ax^{p}[/tex] and passes through points (2,5) and (3,81), i.e.:

[tex]5=a.2^{p}[/tex]

[tex]81=a.3^{p}[/tex]

To determine the two unknows, solve the system of equations:

[tex]log5=log(a.2^{p})[/tex]

[tex]log81=log(a.3^{p})[/tex]

Using multiplication and power rules:

[tex]log5=loga+plog2[/tex]

[tex]log81=loga+plog3[/tex]

Giving values to constants:

0.7=loga+0.3p

2=loga+0.5p

This system of equations can be solved by subtracting each other:

[tex]-1.3=-0.2p[/tex]

p = 0.65

Substituting p into one of the equations above:

[tex]loga+0.5(0.65)=2[/tex]

[tex]loga=1.675[/tex]

[tex]a=10^{1.675}[/tex]

a = 47.3

The constants a and p of the power function which passes through points (2,5) and (3,81) are 47.3 and 0.65, respectively.

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attachment.

Cylinder volume V= 6 Cubes - inch  

The Formula:

[tex]\to V=\pi r^2 h= 6[/tex]

The (r and h ) is the radius and height of the cylinder and [tex]s(r)= \frac{12}{r}[/tex]represent the region of the mark in this r and h, and that is why  as can's radius gets bigger and larger, the label area gets closer to 0.

Answer:

A cylindrical can needs to have a volume of 6 cubic inches. A label is to go around the

side of the can. The function gives the area of the label in square inches

where is the radius of the can in inches

Step-by-step explanation:

Answer:

B. 5 |q−10| =35

Step-by-step explanation:

Solution:

let's try to understand the problem clearly.

In this question, we asked to calculate the number units which that company produces so that it's profit is decreased from the maximum profit.

We know that, for 10000 units = company will get maximum profit.

Any value less than or greater than 10000 units will decrease the profit.

and we also know that,

For every 1000 units profit is decreased by $5000.

So if maximum profit is at 10000 units,

Then at 9000 units = it will have profit decreased by 5000 from the maximum

if q = 11000 then profit = Maximum - 5000

But we are asked to calculate the profit decrease of $35000 from the maximum.

it means we need 5000 decreased by 7 times = 10000 +  7000 = 17000 units

So, if company produces 17000 units,

profit will be decreased by 5(7000) = 35000

Finally,

B. is the only equation which satisfies this condition.

B.  5 (q-10) = 35

(q-10) = 7

q = 10 + 7 = 17

q = 17000 units

Hence, for 17000 units, company's profit will decrease $35000 from the maximum profit.

Answer:

70

Step-by-step explanation:

Because 2100 divided by 30 is 70 I  hope this is the answer :)

Answer:

12 side polygon

Step-by-step explanation:

Interior angle of n side regular polygon: = ((n-2)x180)/n

((n-2)x180)/n = 150

(n-2)x180 = 150n

180n - 360 = 150n

30n = 360

n = 12

check: (12-2)x180/12 = 150

Answer:

The polygon has 12 sides (a dodecagon).

Step-by-step explanation:

Angles in a Regular Polygon

A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures

[tex]\displaystyle \frac{180(n-2)}{n}[/tex]

We are given the interior angle of 150°, thus:

[tex]\displaystyle \frac{180(n-2)}{n}=150[/tex]

Multiplying by n:

[tex]\displaystyle 180(n-2)=150n[/tex]

Operating

[tex]\displaystyle 180n-360=150n[/tex]

Rearranging and simplifying:

[tex]\displaystyle 180n-150n=360[/tex]

[tex]\displaystyle 30n=360[/tex]

[tex]n=360/30=12[/tex]

n = 12

The polygon has 12 sides (a dodecagon).

Answer:

66.341 Feet

Step-by-step explanation:

length 819

width 818

(Length x width)

divide both by 100.5

819/100.5

818/100.5

8.14925373134

8.13930348259

round

8.15

8.14

length times width

8.15*8.14

66.341

Answer:

y = 1/3x - 1

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

24 dived by 4=6

Answer:

[Verse 1]

We're waiting every night

To finally roam and invite

Newcomers to play with us

For many years, we've been all alone

We're forced to be still and play

The same songs we've known since that day

An imposter took our life away

Now, we're stuck here to decay

[Pre-Chorus]

Please let us get in

Don't lock us away

We're not like what you're thinking

We're poor little souls

Who have lost all control

And we're forced here to take that role!

We've been all alone

Stuck in our little zone since 1987

Join us, be our friend or just be stuck and defend

After all, you only got...

[Chorus]

Five Nights at Freddy's

Is this where you wanna be?

I just don't get it

Why do you wanna stay?

Five Nights at Freddy's

Is this where you wanna be?

I just don't get it

Why do you want to stay?

Five Nights at Freddy's

[Verse 2]

We're really quite surprised

We get to see you another night

You should have looked for another job

You should have said to this place goodbye

It's like there's so much more

Maybe, you've been in this place before

We remember a face like yours

You seem acquainted with those doors

[Pre-Chorus]

Please let us get in

Don't lock us away

We're not like what you're thinking

We're poor little souls

Who have lost all control

And we're forced here to take that role!

We've been all alone

Stuck in our little zone since 1987

Join us, be our friend or just be stuck and defend

After all, you only got...

[Chorus]

Five Nights at Freddy's

Is this where you wanna be?

I just don't get it

Why do you want to stay?

Five Nights at Freddy's

Is this where you wanna be?

I just don't get it

Why do you want to stay?

Five Nights at Freddy's, oh

Step-by-step explanation:

Answer:

Cannot prove as congruent

Step-by-step explanation:

AAA cannot be used to prove whether a triangle is congruent. Only SSS, SAS, ASA, and AAS can be used.

Answer:

John pay:449.65

Step-by-step explanation:

(391×15)÷100=58,65

391+58,65=449,65

Answer:

1.5

Step-by-step explanation:

Your answer is 1.5 have a good day

Answer:6.59

Step-by-step explanation:

Answer:

6.59

if you meant

10% of 65.9 then you answer is 0.659

Answer:

The table represents a linear function.

The graph of linear function y = 3x is attached below.

Step-by-step explanation:

Given the table

Number of Hours           1             3                 5

Number of Tents             3            9                15

Given that the slope is 3.

Finding the slope between (1, 3) and (3, 9)

Slope = (y₂-y₁) / (x₂-x₁)

          = [9-3] / [3-1]

           = 6 / 2

           = 3

Finding the slope between (3, 9) and (5, 15)

Slope = (y₂-y₁) / (x₂-x₁)

          = [15-9] / [5-3]

           = 6 / 2

           = 3

As the value of slope remains constant i.e. slope = m = 3.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (1, 3)

[tex]y - 3 = 3 (x-1)[/tex]

[tex]y-3 = 3x-3[/tex]

[tex]y = 3x-3+3[/tex]

[tex]y = 3x[/tex]

Comparing with the slope-intercept form of a linear function of line

y = mx+b     where m is the slope and b is the y-intercept

slope = 3 and y-intercept b = 0

Therefore, the table represents a linear function.

The graph of linear function y = 3x is attached below.

1. 88%

2. 20%

3. 65%

4. 4 questions incorrect

5. $75

Answer:

no it is not c it is b

Step-by-step explanation:

2+(5×4)-(8×5/4)

2+20-40/4

22-10

12

The correct option is B, which is 12.

Given to us:

[tex]2+5\times4-8 \div (\frac{4}{5})[/tex]

To solve such questions, we use BODMAS Rule which helps us decide the order of the operations to solve the mathematical problems.

B - Brackets

O - Order/Power

D - Division

M - Multiplication

A - Addition

S - Subtraction

Therefore, In equation [tex]2+5\times4-8 \div (\frac{4}{5})[/tex] ;

1. solve brackets first,

[tex]2+5\times4-8 \div (0.8)[/tex]

2. solve Division,

[tex]2+5\times4-10[/tex]

3. Solving Multiplication,

[tex]2+20-10[/tex]

4. Solving Addition,

[tex]22-10[/tex]

5. Solving Subtraction,

12.

Hence, the correct option is B, which is 12.

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Answer:

29

Step-by-step explanation:

2x - 14 = x + 15

2x - x = 15 + 14

x = 29

check

44 = 44

Answer:

pretty sure it's 29

Step-by-step explanation:

equation: 2x-14=x+15

how to solve: add 14 to both side, and subtract x from both sides. The equation will then be x=29.

I might be wrong tho.

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  72 +64 +(4x +20) = 180

  4x = 24 . . . . . subtract 156

  x = 6 . . . . . . .  divide by 4