solve the equation In(x+2)=In(x-4)+ In3​

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

a. The expected score for Josephine and Crystal is 17.3 and 17.1 respectively.

b. The total probability of these combinations is 0.045 + 0.120 + 0.030 = 0.195.

c. 0.195 the probability that the difference (Josephine minus Crystal) in their scores is -1.

d. 0.008 is the probability that Josephine will score a 9 for the first time the 4th time that Josephine and Crystal play the game.

d.  0.3267. is the probability that Crystal's score will be 17 exactly 3 times.

a. To calculate the expected score for each player, we use the formula:

Expected Score = Σ(\(x_i \times P_i\))

where \(x_i\) is the score and \(P_i\)is the probability of that score.

For Josephine:

Expected Score = 16(0.10) + 17(0.30) + 18(0.40) + 19(0.20) = 17.3

For Crystal:

Expected Score = 17(0.45) + 18(0.40) + 19(0.15) = 17.1

b. To find all combinations of possible scores for Josephine and Crystal that will produce a difference (Josephine minus Crystal) of -1, we need to subtract 1 from Josephine's score and compare it to Crystal's score.

The possible combinations are:

Josephine Crystal Probability

15 17 0.100.45 = 0.045

16 18 0.300.40 = 0.120

17 19 0.20 x 0.15 = 0.030

c. The probability that the difference (Josephine minus Crystal) in their scores is -1 is the sum of the probabilities of the combinations listed in part (b), which is 0.195.

d. The probability that Josephine will score a 9 for the first time on the 4th play is the probability of scoring less than 9 on the first three plays and then scoring exactly 9 on the fourth play.

Assuming that Josephine's scores are independent, we can use the multiplication rule of probability:

Probability = \(P(score < 9)^3\) x P(score = 9)

Probability = \((0.10 + 0.30 + 0.40)^3\) x 0.20

Probability = 0.008.

e. The probability that Crystal's score will be 17 exactly 3 times out of 5 plays is given by the binomial distribution formula:

Probability = \(C(5,3) \times (0.45)^3 \times (0.55)^2\) = 0.3267

where C(5,3) is the number of ways to choose 3 plays out of 5.

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SP = 2a+5

RQ= 5a-1

ST = 3b-3

SQ = 7b-9

RQ=?

TQ=?

SP = RQ

2a+5 = 5a-1

Solve for a

5+1 = 5a-2a

6 = 3a

6/3 = a

2=a

RQ= 5a-1 = 5(2)-1 = 10-1 = 9

RQ= 9

ST + TQ = SQ

ST= TQ

TQ= 3b-3

3b-3+3b-3= 7b-9

Solve for b

6b-6 = 7b-9

-6+9 = 7b-6b

3=b

TQ = 3b-3= 3(3)-3= 9-3 =6

TQ= 6

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

Step-by-step explanation:

solution:

V=πr2h

3=π·9.32·18.4

3≈1666.52694

Round off to the nearest tenth: 1666.5

Answer:

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5

           - (x³ +   x²  -  x)

                      5x² + x + 5

                    -(5x² + 5x - 5)

                             -4x + 10

Result : \(x+5+\frac{-4x+10}{(x^{2}+x-1)}\)

By the comparing the result with the Lorie's solution,

She made a mistake in the last step in which she combined the constant incorrectly.

Therefore, Option (B) will be the answer.

Step-by-step explanation:

The answer is the Revolutionary War

Answer:

4 1/2

Step-by-step explanation:

41−172=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(4/1, 17/2) = 2

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(41×22)−(172×11)=?

Complete the multiplication and the equation becomes

82−172=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

8−172=−92

This fraction cannot be reduced.

The fraction

−92

is the same as

−9÷2

Convert to a mixed number using

long division for -9 ÷ 2 = -4R1, so

−92=−412

Therefore:

41−172=−412

Solution by Formulas

Apply the fractions formula for subtraction, to

41−172

and solve

(4×2)−(17×1)1×2

=8−172

=−92

Convert to a mixed number using

long division for -9 ÷ 2 = -4R1, so

−92=−412

Therefore:

41−172=−412

Answer:

16.8  or 17 blue

50.4  or 50 brown

33.6  or 34 yellow

33.6  or 34 red

16.8  or 17 orange

16.8  or 17 green

Step-by-step explanation:

7 x 24 = 168 candies

blue = b

brown = w

yellow = y

red = r

orange = o

green = g

1b = 3w + 2y + 2r + 1o + 1g

1 +3 + 2 + 2 + 1 + 1 = 10

168/10 = 16.8

1(16.8) +3(16.8) + 2(16.8) + 2(16.8) + 1(16.8) + 1(16.8) =

16.8 blue

50.4 brown

33.6 yellow

33.6 red

16.8 orange

16.8 green

using the formula Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n)) to calculate the upper bound of the interval. The result is an upper bound of 72.41.

The standard normal distribution table is used to calculate the critical value for this problem.

The critical value at 99% confidence level is 2.576.

The formula for the one-sided confidence interval is given by:

Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n))Therefore, the one-sided 99% Confidence Interval for mu when n = 86, and X_Bar =71 is:

Upper Bound = 71 + (2.576 * 2/sqrt(86))

Upper Bound = 71 + (1.41)

Upper Bound = 72.41

The one-sided 99% Confidence Interval for mu when n = 86 and X_Bar =71 is calculated by using the standard normal distribution table to find the critical value of 2.576, and then using the formula Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n)) to calculate the upper bound of the interval. The result is an upper bound of 72.41.

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On solving the given equation, we have - 125 adult tickets and 179= children tickets.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

301= 104

6.40 =2.25

4.00=1.75

Suppose the number of adult ticket bought =x

And number of children tickets bought =  (301-x).

equation is

6.40(x) + 4(301-x) = 1504

6.40x + 1204 - 4x = 1504

2.40x = 300

x= 125

125 adult tickets and 179= children tickets.

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Answer:

99.20

Step-by-step explanation:

Okay let me show you how to do this. This is very easy so please do not complicate yourself.

"62/5" means 62 divided by 5.

We need to divide 62 by 5. So: 62 ÷ 5 = 12.40

Now that we've simplified the fraction, this is now what we have: 12.40 × 8

So now we need to multiply 12.40 by 8.

12.40 × 8 = 99.20

And there's your answer!

Answer:

andrew

Step-by-step explanation:

y = 2 is an equation that passes through the point (-14,2) and has no slope.

The resultant force acting on the block is 47.6N.

The acceleration of the block will be 23.8 m/s².

The speed of the block after 5 seconds of movement is 119 m/s.

In this question, we need to make use of Newton's second law, hence:

resultant force = mass × acceleration

So, for question a. The value of the resultant force  will be obtained by adding the two forces together:

resultant force = F₁ + F₂

                       = 25N + 22.6N

                        = 47.6N

b.  Its acceleration will be:

acceleration = resultant force / mass

                  = 47.6N / 2kg

                  = 23.8 m/s²

c. The speed of the block after 5 seconds of movement will be:

Velocity  (v) = u + at

velocity = initial velocity + acceleration x time

Based on the block was initially at rest, the initial velocity is 0.

Hence:

V = acceleration x time

    = 23.8 m/s² x 5s

     = 119 m/s

Hence the speed of the block after 5 seconds of movement will be: 119 m/s.

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See full text below

The block in the figure is at rest when the forces begin to act.

F₁ = 25N

F, = 22.6 N

m = 2kg

to. Find the value of the resultant force.

b. Determine its acceleration.

C. Calculate the speed of the block after 5 seconds of movement.

Answer:

576

Step-by-step explanation:

base times height

so 72*8

which is 576

Answer:

The total length of Valerie’s walls is (2.5 × 4) + (21.25 × 3) + 32.

The total length of Seth’s walls is 3.5 + (22.75 × 2) + 58.

To find the expression for the perimeter of the house, add Valerie’s expression to Seth’s:

(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58.

Step-by-step explanation:

its the platho answer so change it a bit

Answer:

321 is the next number that comes in the calculator.

The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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The transformation function can be represented as vwxyz \($\rightarrow$\)qrstu = (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u).

This algebraic representation of the transformation of pentagon vwxyz into pentagon qrstu is using the notation of a function. A function takes an input (in this case, the coordinates of pentagon vwxyz) and produces an output (in this case, the coordinates of pentagon qrstu). This transformation can be represented by the notation (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u). This notation means that the coordinates (v,w,x,y,z) are being transformed into the coordinates (q,r,s,t,u). This notation is a concise way of expressing the transformation of pentagon vwxyz into pentagon qrstu. It is important to note that the transformation itself is not specified; the notation is simply used as a way of representing the transformation.

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200.60 interest does andy’s account earn.

Let x be the amount of interest earned by Andy's account.

According to the problem, Andy's account earns 0.3% more interest than Marty's account, which means that Andy's account earns the same amount plus an additional 0.3% of that amount. Mathematically, we can express this as:

x = 200 + 0.3% of 200

Simplifying the right-hand side of the equation, we get:

x = 200 + 0.003 × 200

x = 200.60

Therefore, the answer is option 1: 200.60.

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Answer:

okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.

Step-by-step explanation:

Answer:

Line AB and the last AB

Step-by-step explanation:

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Total number of rabbits produced in 9 years will be 45.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a rabbit can produce 5 new rabbits per year

Total number of rabbits produced in 9 years will be -

n = 5y = 5 x 9 = 45 new rabbits

Therefore, total number of rabbits produced in 9 years will be 45.

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Answer:

3

Step-by-step explanation:

3 times 30 = 90 then divide 90 and 30 you get 3

Answer:

90,000 Mg would be the amount of protein.