Given the points A(-l , 2) an d B(7, 14), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 1:3

Answer:

t = In2/ r

Step-by-step explanation:

Given the formula : A = Pe^rt

For investment to double ;

Final amount (A) = 2 * initial investment (p)

A = 2p

Hence,

2p = pe^rt

2 = e^rt

Take the In of both sides

In2 = rt

Divide both sides by r

In2 /r = rt /r

In2/ r = t

t = In2/ r ; Hence, the proof

The formula for obtaining the time taken when the amount is double the principal is ln2/r.

Given that;

A = Pe^rt

A = amount

P = principal

r = rate

t = time

Now we are told that;

A = 2P

Hence;

2P = Pe^rt

2 = e^rt

ln 2 = rt

t = ln2/r (QED)

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Answer:

The pressure P₂ = 30 pounds when volume is 140 cubic inches

Step-by-step explanation:

We are given

Pressure P₁ = 35 pounds

Volume V₁ = 120 cubic inches

Volume V₂ = 140 cubic inches

We need to find Pressure P₂

The formula used will be: [tex]V_1P_1=V_2P_2[/tex]

Putting values and finding P₂

[tex]V_1P_1=V_2P_2\\120\times 35=140\times P_2\\4200=140\times P_2\\P_2=\frac{4200}{140} \\P_2=30 \ pounds[/tex]

So, the pressure P₂ = 30 pounds when volume is 140 cubic inches

Answer:

Step-by-step explanation:

10.6n - 45.92 = 18.8                    Add 45.92 to both sides

10.6n = 18.8 + 45.92                   Combine like terms on the right

10.6n = 64.72                              Divide by 10.6  

n = 64.72 / 10.6

n = 6.11

Answer:

ANSWER

3pq−6hk+(−3qp+14kh)

⇒(3pq−3pq)+(14kh−6kh)[∴pq=qp]and

⇒0+8kh[kh=hk]

∴8khAns

Answer:

4 cups of mayonnaise.

Step-by-step explanation:

The ratio of the amount of pecans comparing reality and the recipe is:

1 : 3/8

= 1/(3/8)

= 8/3

Hence, to find the amount of mayonnaise that should be added:

8/3 * 3/2

= 8/2

= 4 cups

Hope this helped!

Answer:

6/48 is the likely possibility that he will pull out a blue one.

Step-by-step explanation:

The first thing you will look at is how many blue there is and in this case there is 6. All you have to do (if it didn't already) is add up all of the paperclips and put the blue total number to get your answer. So if there was 49 but he drew out one to make it 48.  So the answer is 6/48

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Linear equation.

Solving we get as,

-0.8(10-x)=36

=> -8 + 0.8x = 36

=> 0.8x = 36+8

=> 0.8x = 44

=> x = 44÷0.8

=> x = 55

x= 55.

The solution of the expression will be;

⇒ x = 55

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ -0.8 (10 - x) = 36

Now,

We can solve the expression as;

The expression is,

⇒ -0.8 (10 - x) = 36

⇒ - 0.8 × 10 + 0.8x = 36

⇒ - 8 + 0.8x = 36

⇒ 0.8x = 36 + 8

⇒ 0.8x = 44

⇒ x = 44 / 0.8

⇒ x = 55

Thus, The solution of the expression will be;

⇒ x = 55

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Step-by-step explanation:

Add parentheses around 1 + 1.

8 - 3 × 2 - (1 + 1) = 0

8 - 6 - 2 = 0

0 = 0

Answer: The answer is 0.

Step-by-step explanation: You'll need to add the parentheses around 1+1.

The solution:

Answer:

it's congruent

side-side -side

Answer:

not congruent because all the sides a different .

Answer:

Andre scored 14 points.

Equation: x = 14

Step-by-step explanation:

Let the number of points Andre scored be x.

Diego's points = x-9

Noah's points = (x-9) × 2

                       = 2x-18

Now, you know the exact value of Noah's points which is 10.

2x-18 = 10

Isolate the 2x.

2x = 10+18

    = 28

x = 28÷2

  = 14

Answer:

noah = 10 pts.

diego = 5pts. half as many as noah.

diego is 9pts less than andre.

if diego scored 5 and is 9 less than andre. andre scored 5+9

Andre scored 14pts

Step-by-step explanation:

Answer:

2 is the asnwer hard to explain have a good TEST!!

Step-by-step explanation:

Answer:

x = 100

Step-by-step explanation:

(x - 20) + x = 180  

2x - 20 = 180

   + 20    +20

2x = 200

x = 200/2

x = 100

Answer: 5

the scale length of 15cm and 3cm is 15/3 = 5

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

3/4x + 3 -2x = -1/4 + 1/2x + 5

3/4x + 3 -2x = 19/4 + 1/2x

3x + 12 - 8x = 19 + 2x

-5x + 12 = 19 + 2x

-5x - 2x + 12 = 19

-7x = 19 - 12

-7x = 7

x = -1

By solving the algebraic equation  [tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5[/tex], x = -1.

Algebraic equation is statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

[tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5\\\\\frac{3}{4}x-2x-\frac{1}{2}x = -\frac{1}{4}+5-3\\\\\frac{3x-8x-2x}{4} = \frac{-1+20 - 12}{4} \\\\-\frac{7x}{4} = \frac{7}{4}\\ \\ x = -1[/tex]

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Answer:

38 degree

Step-by-step explanation:

all the angles of a triangle are 180 . a supplementary angle is 105 degree... first subtract 180 - 105 (A), because it is a supplementary angle , so 75 degrees then do 180 - ( 67 + 75 ) that is 38 = x

Answer:

Step-by-step explanation:

There is no solution

Answer: There is no such value of X.

Step-by-step explanation:

If you get this wrong, im sorry but im sure that its the right answer.

Answer: 42 pages

Because

Answer:

I will assume you mean 0.015 out of 1.

It is 0.985

Step-by-step explanation:

Answer:

0.985

Step-by-step explanation:

The probability that a new fridge does not have a fault = 1 - 0.015

                                                = 0.985

Answer:

what is the question? a circle is 360 degrees if that is what you're asking.

Step-by-step explanation:

please mark me as the brainliest answer and please follow me

Answer:

the first one is wrong.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

The two trangle's relation by S.AS

Step-by-step explanation:

Idono thes ansar gdau gdddhd hjkdbss hhfc

Answer:

2147.60

Step-by-step explanation:

Answer:

he is wrong it is 25 %

Step-by-step explanation:

I just did it

Answer:

30 minutes

Step-by-step explanation:

60 divided by 2 = 30

lable min

Answer:

The slope is -28/14

Aww, that's sweet, but why don't you just text them?

Answer: B. Longest side.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4y+1=5y-3

-1y=-4

y=4