Justin uses 2/3
of a gallon of paint to cover 1/12 of his bedroom wall.
How much paint is needed to cover the entire wall?

Answer:

Step-by-step explanation:

Remark

The first step is the critical one. Take the base and raise it to x. Then take the log of the base and the number whose log you need. x (the power)is brought down and the logs divided.

2^x = 1024

log 2^x = log(1024)

x log(2) = log(1024)

x * 0.30102 = 3.0102

x = 30102/0.30102

x = 10

You could use the e system to solve this as well

2^x = 1024

ln(2^x) = ln(1024)

x * ln(2) = ln(1024)

x 0.6931 = 6.9315

x = 6.9315/0.69315

x = 9.999959

x = 10

Step-by-step explanation:

1) yes

2) no

3) no

4) no

5) no

integer is any number that is not in fraction form / has decimal places

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

The compound interest is given by the formula A = P ( 1 + r/n )ⁿᵇ

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the amount invested be represented as P

Now , the time period be b

Let the number of times the interest is applied be n

Let the rate of interest be represented as r

Now , the amount after b years is given by

A = P ( 1 + r/n )ⁿᵇ

And , when calculating interest ,

Interest I = Amount A - Principal P

Therefore , the value of I is = A - P

Hence , the compound interest is A = P ( 1 + r/n )ⁿᵇ

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Answer: 9 and 16.

Step-by-step explanation: The two closets squares to 10 would be the square of 3 (9), and the square of 4 (16)

Answer:

the answer is -10

Step-by-step explanation:

the steps are in the picture

Answer:

The answer to this expression would be negative.

Step-by-step explanation:

-10

Answer:

$1,494

Step-by-step explanation:

the total cost multiplied by the number of family members

Step-by-step explanation:

249 x 6 = 1,494

Answer: $1,494

Answer:

yes I think...........

Answer:

dude how are you supposed to figure this out????

Jiri age is 23

Step-by-step explanation:

Answer:

a) the common difference is 20

b) [tex]x_8=115 , x_{12}=195[/tex]

c) the common difference is -13

d) [tex]a_{12}=52, a_{15}=13[/tex]

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: [tex]x_n=x_1+(n-1)d[/tex]

We know common difference d= 20, we need to find [tex]x_1[/tex]

Using [tex]x_3=16[/tex] we can find [tex]x_1[/tex]

[tex]x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25[/tex]

So, We have [tex]x_1 = -25[/tex]

Now finding [tex]x_8[/tex]

[tex]x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115[/tex]

So, [tex]\mathbf{x_8=115}[/tex]

Now finding [tex]x_{12}[/tex]

[tex]x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195[/tex]

So, [tex]\mathbf{x_{12}=195}[/tex]

c) what is the common difference of the sequence [tex]a_m[/tex]

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: [tex]a_n=a_1+(n-1)d[/tex]

We know common difference d= -13, we need to find [tex]a_1[/tex]

Using [tex]a_7=104[/tex] we can find [tex]x_1[/tex]

[tex]a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195[/tex]

So, We have [tex]a_1 = 195[/tex]

Now finding [tex]a_{12}[/tex] , put n=12

[tex]a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52[/tex]

So, [tex]\mathbf{a_{12}=52}[/tex]

Now finding [tex]a_{15}[/tex] , put n=15

[tex]a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13[/tex]

So, [tex]\mathbf{a_{15}=13}[/tex]

Answer:

+2

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

f(x) = |x| will always be parent function unless told otherwise.

Lets go over some stuff before we answer this absolute values make anything positive or make you count down from zero so then just imagine those numbers as positive.

ill put them as positives and then sort them here

3.07 3.25 3.31    |3.07 3.25 3.31 (Correct)

7.38, 7.39 , 7.41 | 7.38, 7.39 , 7.41  (Correct)

17.12, 17.08 17.06 | 17.06 ,17.08 ,17.12 (Wrong)

21.95 , 22.02 , 22.11 | 21.96 , 22.02 , 22.11 (Correct)

Answer:

|−17.12| , |−17.08| , ∣∣17.06∣wrong∣ ∣∣21.95∣∣ , |−22.02| , |−22.11| correct |−7.38| , ∣∣7.39∣∣ , |−7.41|correct |−3.07| , ∣∣−3.25∣∣ , |3.31|:correct

Answer:

line

x-intercept | 0

f-intercept | 0

normal vector | (-3072/sqrt(9437185), 1/sqrt(9437185))≈(-1., 0.000325521)

slope | 3072

curvature | 0

Step-by-step explanation:

Answer:

sorry i just need to ask question

Step-by-step explanation:

Answer:

No, because BC is not perpendicular to AB.

Step-by-step explanation:

The lines BC and AB are intersecting but not perpendicular.

Answer:

y=[tex]-\frac{1}{3}[/tex]+2

Step-by-step explanation:   m=slope, b= y-intercept

y=mx+b             how to find the slope=  [tex]\frac{3-0}{1-2}[/tex]

y=m(x)+b

1=m(3)+b

1=[tex]-\frac{1}{3}(3)[/tex]+2

Answer:

y=2x-4

Step-by-step explanation:

Answer:

add 4.3x to both sides of the equation

Step-by-step explanation:

Answer:

B is the answer.

Step-by-step explanation:

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Triangles cannot have two 90 degrees because that would add up to 180 and triangles need 3 angles to add to 180

You can't have an obtuse angle and a right angle. say the obtuse angle was 110, and a right angle is 90. 110 + 90 is more than 180.

Two obtuse angles would be more than 180.

This leaves us with B being correct, because you can have an obtuse angle and an acute angle, and it can be less than 180 degrees.

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#teamtrees #WAP (Water And Plant)

Answer:

12x+7-3x+4

you will group items.

12x-3x+7+4

9x+11

the answer is d which is x=.5x=-4

Answer:

Step-by-step explanation:

the slope is 1/1

Answer:

5,589,000

Step-by-step explanation:

Answer:

B. Ractangle

Step-by-step explanation:

Answer:

Angle T = 39

Step-by-step explanation:

Triangle WXY is the same as triangle VTU

Therefore the angles are the same as well so because angle T and angle X are equal they both have the same value

Answer:

4x9/2

4x9/2

36/2

18

UwU

18 is your answer

Answer:

would be D.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

x = 3 ± 3i√2

General Formulas and Concepts:

Pre-Algebra

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define equation

(x - 3)² + 8 = -10

Step 2: Solve for x

Answer:

1

Step-by-step explanation:

because every cup has to be equal and if is not then every cup will be less then a cup eather way it will be the same