Find (2n - 3)(n + 4).

Answer:

1. Horizontal component = -3 units

  Vertical component = -4 units

2. Horizontal component = 3 units

  Vertical component = 4 units

Step-by-step explanation:

If a vector M, starting at point A = (a, b) and ending at point B = (c, d) is given, then the vector can be resolved into x and y components as follows;

M = AB

Where;

AB = B - A

AB = (a, b) - (c, d)

AB = (a-c, b-d)

AB = (a-c)i + (b-d)k

Therefore, a-c and b-d are the x and y components of the vector M.

(1) Let the vector be M:

Starting point of M = Q = (4, 6)

Ending point of M = P = (1, 2)

So,

M = PQ

Where;

PQ = Q - P

PQ = (1,2) - (4,6)

PQ = (1-4, 2-6)  

PQ = (-3, -4)

Therefore,

M = PQ = -3i - 4j

The x and y components of M are therefore, -3 and -4 respectively.

(2) Let the vector be M:

Starting point of M = P = (1, 2)

Ending point of M = Q = (4, 6)

So,

M = PQ

Where;

PQ = Q - P

PQ = (4,6) - (1,2)

PQ = (4-1, 6-2)  

PQ = (3, 4)

Therefore,

M = PQ = 3i + 4j

The x and y components of M are therefore, 3 and 4 respectively.

Note: The x and y components are also called the horizontal and vertical components respectively.

Answer: B) Profit per shirt goes from $10 to $15

================================================

Explanation:

Focus on the two points (2,0) and (3,10). The slope of the line through these points is

m = (y2-y1)/(x2-x1)

m = (10-0)/(3-2)

m = 10

Meaning the profit per shirt for this line is $10 per shirt.

----------

Now move onto the other line. Focus on the points (9,40) and (11,70)

m = (y2-y1)/(x2-x1)

m = (70-40)/(11-9)

m = 15

The profit per shirt has gone up to $15 per shirt

Answer:

I would personally say that his profit per shirt increases

Step-by-step explanation:

- he only made 10 after selling 7 shirts : can't be (• #1)

- they tell you that it's a profit function: so can't be (• #3)

- he spent 25 after he hit 50: can't be (• #4)

Answer:

rational number

Step-by-step explanation:

The description is of the set of numbers called the "rational numbers."

A rational number is a fraction of integers that when divided, you either get an integer, a terminating decimal, or a non-terminating, repeating decimal.

Answer:

c = 177n - 314

Step-by-step explanation:

c = 177n - 314

Answer:

195

Step-by-step explanation:

13*15=195

f(3) = 4 is the answer

The idea is that y = f(x) is the output while x is the input

A point like (3,4) has x = 3 and y = 4 pair up together

Step-by-step explanation:

there are no different answers they are all the same

Answer:

The answer is A,B, and D

Step-by-step explanation:

Hope this helps =)

Answer:

x = -0.2

Step-by-step explanation:

In this problem, an equation is given as follows :

8- 6x - 5 - 4x = 5

We need to solve the above equation

Taking like terms together:

-6x-4x=5+5-8

-10x=2

x = -0.2

So, the value of x is -0.2.

Answer:

0.31<0.32<33/55

Step-by-step explanation:

33/55=0.6

=> 0.31<0.32<0.6

Answer:

Step-by-step explanation:

1.5x = 9/4 x 18/5

1.5x = 81/10

1.5x = 8.1

x = 5.4 = 5 2/5

Choice #2 is the option

Answer:

8+2x

Step-by-step explanation:

Steps to solve:

m + 55 + 1 = m

~Simplify

m + 56 = m

~Subtract m to both sides

56 = 0

No solution

Best of Luck!

Answer:

no solution

In-depth explanation:

Hi there, let's solve this equation.

For now, I will focus on the left side & combine the like terms:

[tex]\tt{m+55+1=m}[/tex]

[tex]\tt{m+56=m}[/tex]

Subtract 56 from each side:

[tex]\tt{m=m-56}[/tex]

Subtract m from each side:

[tex]\tt{m-m=-56}[/tex]

[tex]\tt{0=-56}[/tex]

Therefore, the equation has no solution.

Answer:$685000

Step-by-step explanation:

Add the total asset withe increased asset. Subtract the decreased liability by the total Liability. Subtract both of the answers.

Answer:

a,c

Step-by-step explanation:

Answer:

195,000

Step-by-step explanation:

11,700=6/100p

11,700* 100/6=100/6*6/100p

p=195,000

Answer:

at least 10

Step-by-step explanation:

because i cant explain it.

Answer:

2 standard deviations above the mean is significant

Step-by-step explanation:

Answer:

A, B, and C all deal directly with the bank. While D does not deal with your bank it is a personal finance question that would NOT change your banking. So the correct answer would be D

Step-by-step explanation:

The amount of money you paid in income taxes last year.

Bank, is an institution that deals in money and its substitutes and provides other money-related services. In its role as a financial intermediary, a bank accepts deposits and makes loans.

A bank is a financial institution licensed to receive deposits and make loans. Banks may also provide financial services such as wealth management, currency exchange, and safe deposit boxes. There are several different kinds of banks including retail banks, commercial or corporate banks, and investment banks.

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Answer:

48

Step-by-step explanation:

The Pythagorean Theorem is:

[tex]a^2+b^2=c^2[/tex]

where [tex]a[/tex] and [tex]b[/tex] are the legs of the right triangle. [tex]c[/tex] is the hypotenuse of the triangle.

In this right triangle, we know that one leg is 20 and the hypotenuse is 52. Therefore,

[tex]a=20[/tex]

[tex]c=52[/tex]

Since we don't know the other leg, we can leave it as [tex]b[/tex]. Substitute the values into the theorem.

[tex]20^2+b^2=52^2[/tex]

Evaluate the exponents first.

⇒ 20²=20*20=400

⇒ 52²= 52*52= 2704

[tex]400+b^2=2704[/tex]

Since we want to find [tex]b[/tex], we must isolate [tex]b[/tex]. First, subtract 400 from both sides of the equation.

[tex]400-400+b^2=2704-400[/tex]

[tex]b^2=2704-400[/tex]

[tex]b^2=2304[/tex]

[tex]b[/tex] is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

[tex]\sqrt{b^2}=\sqrt{2304}[/tex]

[tex]b=\sqrt{2304}[/tex]

[tex]b=48[/tex]

The length of the other leg is 48

Answer:

The length of the long side of the rectangle is 38 ft.

Step-by-step explanation:

If we test out all possible factors, we will see that 15 x 38 is the most fitting.  

Perimeter: 15 + 15 + 38 + 38 = 106 ft.

Area: 15 x 38 = 570 square ft.

38 ft. is the measurement of the long side and 15 ft. is the measurement of the smaller side.  

Answer:

38 Feet is the simple answer

Step-by-step explanation:

hope i helped

Answer:

A would be 13

So the full point would be (13,-3)

Answer:

-8

Step-by-step explanation:

Answer:

comparing the two cells, we can see that the surface area to volume ratio gets smaller as the cell gets bigger, making it harder for optimum amount of material that is needed to sustain the cell to cross the cell membrane. If a cell should grow beyond a certain limit, enough material will not be able to cross the membrane to nourish the cellular volume.

Step-by-step explanation:

For the cell with radius r = 10 pm

The surface area is from the area of a sphere

Area A = [tex]4\pi r^{2}[/tex]

A= 4 x 3.14 x [tex]10^{2}[/tex] = 1256 pm^2

volume is calculated from the volume of a sphere

Volume V = [tex]\frac{4}{3}\pi r^3[/tex]

V = [tex]\frac{4}{3}[/tex] x 3.14 x [tex]10^{3}[/tex] = 4186.67 pm^3

Ratio of surface area to volume = 1256/4186.67 = 0.29

For the second cell with radius r = 20 pm

The surface area of the cell is

A =  [tex]4\pi r^{2}[/tex] = 4 x 3.14 x [tex]20^2[/tex] = 5024 pm^2

Volume =  [tex]\frac{4}{3}\pi r^3[/tex] =  [tex]\frac{4}{3}[/tex] x 3.14 x [tex]20^{3}[/tex] = 33493.3 pm^3

Ratio of surface area to volume = 5024/33493.3 = 0.15

comparing the two cells, we can see that the surface area to volume ratio gets smaller as the cell gets bigger, making it harder for optimum amount of material that is needed to sustain the cell to cross the cell membrane. If a cell should grow beyond a certain limit, enough material will not be able to cross the membrane to nourish the cellular volume.

Answer:

Step-by-step explanation:

Given the distance of fall of the student in term of the time t expressed by the equation s(t) = −16t² + 8√t, to get the average speed of fall of the pencil after 2.8 secs, we will need to differentiate the given function first since Velocity is the change in distance of a body with respect to time i.e

V = d(s(t))/dt

s(t) = −16t² + 8t^1/2

V = -32t+1/2(8)t^(1/2 - 1)

V = -32t+4t^-1/2

The average speed of the fall Using the fact that the pencil hit the ground in exactly 2.8 seconds, will be gotten by substituting t = 2.8 into the resulting equation.

V = -32t+4(2.8)^-1/2

V = -32t+4/√2.8

V = -32+4/1.6733

V = -32+2.391

v = -29.61m/s

Hence the average speed of the fall is -29.61m/s

The  average speed of the fall is -29.61m/s

[tex]V = d(s(t))\div dt\\\\s(t) = −16t^2 + 8t^{1/2}\\\\V = -32t+1/2(8)t^{(1/2 - 1)}\\\\V = -32t+4t^{-1/2}[/tex]

Now here t = 2.8 seconds

So,

[tex]V = d(s(t))\div dt\\\\s(t) = −16t^2 + 8t^{1/2}\\\\V = -32t+1/2(8)t^{(1/2 - 1)}\\\\V = -32t+4t^-1/2[/tex]

V = -32+2.391

v = -29.61m/s

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Answer:

Domain, range

Step-by-step explanation:

The domain of a function is the complete set of inputs, whereas the range is the set of all outputs​.

Domain= Input

Range= Output

The domain of a function is the complete set of inputs, whereas the range is the set of all outputs.

The domain of the function includes all possible x-values of a function, and the range includes all possible y-values of the function.

The domain of a function refers to all the possible input values that can be plugged into a function and produce a valid output. It represents all the values that are allowed as inputs to the function.

The range of a function refers to all the possible output values that can be produced by the function. It represents the set of all values that the function can produce as outputs, given the inputs from the domain.

So, the domain represents the set of all possible inputs to the function, and the range represents the set of all possible outputs of the function.

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Answer:

n=-1

Step-by-step explanation:

3n-5=-8(6+5n)

3n-5=-48-40n

add 40n to both sides

43n-5=-48

n=-1

Using distributive property we can expand the expression as

3n - 5 = -8 x 6 + (-8) x 5n

To apply the distributive property to the equation

3n - 5 = -8(6 + 5n), we need to distribute the -8 to the terms inside the parentheses.

Using the distributive property, we have:

3n - 5 = -8 x 6 + (-8) x 5n

Simplifying further:

3n - 5 = -48 - 40n

Now, we can continue solving the equation using the simplified form as

3n + 40n = -48 + 5

43n = -43

n= -1.

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Answer:27

Step-by-step explanation:

Rtf

Answer:

Step-by-step explanation:

A). Yes. If we rotate shape I by 90° clockwise about the origin shape I will overlap shape II.

  Coordinates of one point of figure I are A(-1, 3).

  After rotation 90° clockwise,

  (x, y) → (y, -x)

  Following this rule,

  A(-1, 3) → A'(3, 1)

  It clearly states that figure I will overlap figure II.

B). No. because length of the quadrilateral I is different from the length of the quadrilateral given in figure III while width are same.

   Both are different quadrilaterals.

C). Yes. If the figure I is reflected over x-axis, we get figure III.

D). Yes. By the translation of figure I by 3 units right and 4 units down we get image figure V.

  Rule followed for the translation,

  (x, y) → (x+3, y-4)  

Answer:

3 hrs

Step-by-step explanation:

6/2=3 so 3 hours

Answer:

8695

Step-by-step explanation:

Took forever on calculator but I did it!

Answer:

8695

Step-by-step explanation:

There is a formula for adding all integers from 1 to some integer n.

[tex] 1 + 2 + 3 + ... + n = \dfrac{n(n + 1)}{2} [/tex]

In other words, to add all integers from 1 to an integer, multiply the integer by the next greater integer and divide by 2.

For example, what is

1 + 2 + 3 + 4 ?

Multiply 4 by the next integer, 5, and divide by 2.

(4 * 5)/2 = 20/2 = 10

Check: 1 + 2 + 3 + 4 = 3 + 3 + 4 = 6 + 4 = 10

We see that the formula works.

Now we need to apply that formula to this problem, but there's a little more to it.

If the problem were

1 + 2 + 3 + ... + 138 + 139, then we'd apply the formula and that would be it.

In this problem, though, we don't start the sum at 1. We start the sum at 46.

The trick here is to add all integers from 1 to 139, and then we subtract the sum of all integers from 1 to 45, so we are left with only the sum of the integers from 46 to 139.

Sum of integers from 1 to 139:

[tex] 1 + 2 + 3 + ... + 139 = \dfrac{139(139 + 1)}{2} = \dfrac{139(140)}{2} = 9730 [/tex]

Sum of integers from 1 to 45:

[tex] 1 + 2 + 3 + ... + 45 = \dfrac{45(45 + 1)}{2} = \dfrac{45(46)}{2} = 1035 [/tex]

Now we subtract the sum to 45 from the sum to 139.

46 + 47 + 48 + ... 138 + 139 = 9730 - 1035 = 8695

Answer: 8695