What is the value of w ?

Answer:

The answer is "[tex]\log(x-3)- \log(2)[/tex]"

Step-by-step explanation:

The asymptote is that when the group is 0 within. Let's all assume that log base 2 is: Log(ax-b); a position mostly online also they know. Let's use this (5,0)  and log(5a-b)=0; they get out of it 5a-b=1; now that the results for a and b must be known. So we can say unless the asymptote is x=3, 3a-b=0; then we have the equations system, and with a and b we can solve

[tex]\to b=5a-1 \\\\ \therefore\\\\\to 3a-(5a-1)=0\\\\\to 3a-5a+1=0\\\\\to -2a+1=0\\\\\to -2a=-1\\\\\to a=\frac{1}{2} \ and\ b= \frac{3}{2}[/tex]

[tex]\to \log(\frac{x}{2}-\frac{3}{2})\\\\\to \log(\frac{(x-3)}{2})\\\\\to \log(x-3)- \log(2)[/tex]

3y×(2y+5)

Multiply each term in the parentheses by 3y

3y×2y+3y×5

Calculate the product

6y²+3y×5

Now we do the same thing only different way

3y×2y

Multiply the numbers

6y×y

If  a term doesn't have an exponent , it is considered that the exponent is 1

6y^1×y^1

Multiply the terms with the same base by adding their exponents

6y^1+1

add the numbers

6y²

6y^2+3y×5×

calculate the product

6y²+15y

It's the same thing only different way ok

3y×5

Multiply the numbers

15y

answer: 6y²+15y

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Answer:

540

Step-by-step explanation:

multiply 180 by 3

Answer:

69536

LOLLLLLLLLLL

Answer:

69536

Step-by-step explanation: and rounded to the nearest what

Answer: Steven read more pages per minute than Dana

Step-by-step explanation:

Answer:

B) 3.5cm

Step-by-step explanation:

1/80 = n/280

1 * 280 = n * 80

280 = 80n

3.5 = n or n = 3.5

Answer:

half of the pizza is left

Step-by-step explanation:

1 ) three quarters are left = 75% of the original pizza

2) she eats one third of the pizza = 1/3 of 75

3) one third of the pizza is 25 %

4) 75-25 = 50

5) 50 is half of the pizza

Answer:

(B) Mean 3 and standard deviation 5

Step-by-step explanation:

Property of mean

The mean of the sum or difference of two random variable R and S is the sum of their means.

μ (R-S) = μ(R) - μ(S)

μ(R-S) = 10 - 7 = 3

Property of standard deviation

The variance of Independent variable R and S is is the sum of their variances. Even when we subtract two random variables, we still add their variances; subtracting two variables increases the overall variability in the outcomes.

σ^2(R-S) = σ^2 (R) + σ^2(S)

            = 16 + 9           ( variance = (standard deviation)^2  )

             = 25

σ(R-S)  = 5

The mean of the  distribution of R-S is 3 and the standard deviation of the  distribution of R-S is 5 and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the mean and standard deviation of the  distribution of R-S:

Step 1 - The mean can be determined by using the below formula.

[tex]\rm \mu(R-S) = \mu(R)-\mu(S)[/tex]

Step 2 - Substitute the values of [tex]\rm \mu(R)[/tex] and [tex]\rm \mu(S)[/tex] in the above expression.

[tex]\rm \mu(R-S) = 10-7[/tex]

[tex]\rm \mu(R-S) = 3[/tex]

Step 3 - The standard deviation can be determined by using the below formula.

[tex]\rm \sigma^2(R-S) = \sigma^2(R)+\sigma^2(S)[/tex]

Step 4 - Substitute the values of [tex]\rm \sigma(R)[/tex] and [tex]\rm \sigma(S)[/tex] in the above expression.

[tex]\rm \sigma^2(R-S) = 16+9[/tex]

[tex]\rm \sigma(R-S) = 5[/tex]

Therefore, the correct option is B).

For more information, refer to the link given below:

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Answer:

[tex]\sqrt{325}[/tex]

Step-by-step explanation:

This is because you use Pythagorean theorem. a^2 + b^2 = c^2.

Answer:

769

Step-by-step explanation:

Answer:

109

Step-by-step explanation:

Feed:

i would recommend you to put the correct statement of the question so people can understand it better but from what i get your trying to ask is that : b-8-53

Step-by-step explanation:

well i dont get what your trying to say or ask

Answer:

22.8 pounds

Step-by-step explanation:

The answer is 22.8 because when you divide 100 by 38 you get 2.63157894737 and if you divide 60 by 2.63157894737 you get 22.8

Answer:

at 0 hours, 0 miles were traveled

Answer:   T=10-2 x y

Step-by-step explanation: that is the reason

Answer: 726.

Step-by-step explanation:

we have:

a, b and c non-negative numbers.

we know that:

a + b + c = 36.

(i also assume that the numbers are whole numbers)

and "one of the numbers is twice one of the others"

Then we can write:

a = 2*b

replacing that in the above equation, we get:

2*b + b + c = 36

3*b + c = 36.

Then the product between the 3 numbers will be:

P = a*b*c = (2*b)*b*c = 2*b^2*c.

Because we have b squared in the product, we want to find the maximum possible value of b, such that:

3*b + c = 36.

3*b = 36 - c

We know that 36 is a multiple of 3, and also is 3*b.

Then 36 - c must also be a multiple of 3, this means that c must be a multiple of 3 (and the smallest possible), which is 3.

Then if we have:

3*b = 36 - 3 = 33

3*b = 33

b = 33/3 = 11.

The prodct will be:

P = 2*(11^2)*3 = 726.

The maximum value of the product of the three given numbers is;

P_max  = 726

Let the three non-negative numbers be x, y and z

We are told that they sum up to 36.

Thus;

x + y + z = 36.

Now, one of the numbers is twice one of the other numbers.

Thus;

x = 2y

Then, we now have;

2y + y + z = 36

⇒ 3y + z = 36.

We want to find the maximum value of the  product between the 3 numbers. Let's say their product is P, then we have;

P = xyz

P = 2y²z

Since y is squared here, then let's make 3y the subject in 3y + z = 36.

3y + z = 36.

3y = 36 - z

since 3 is multiplied by y, it means that  36 - z be a multiple of 3 and we can infer that z must also be a multiple of 3. If we take z = 3, we have;

Then if we have:

3y = 36 - 3

3y = 33

y = 33/3

y = 11.

Since Product is P = 2y²z, then we have;

P = 2 × 11² × 3

P_max  = 726

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Answer:

m

Step-by-step explanation:

Answer:

Craig's collection increased by 20%.

Step-by-step explanation:

Original amount: 10

New amount: 12

To find the percent increase, we first need to find how much Craig's record collection increased by. To do this, subtract the old amount from the new amount:

12 - 10 = 2

The amount his collection increased by is 2. To find the per cent increase, divide 2 by the original amount of records:

[tex]\frac{2}{10}=\frac{1}{5}= 0.20[/tex]

Convert the decimal into a percentage:

0.20 * 100 = 20%

The percent increase of Craig's record collection is 20%.

I think is D

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Answer:

5 parks

7 parks

9 parks

10 months

Step-by-step explanation:

1 month: 5 state parks

2 months:5+2=7 state parks

3 months:7+2=9 state parks

x months : 23 state parks

23-9 state parks = 14 state parks

14/2=7 it means 7 months more

3+7=10 months

10 months : 23 state parks

Answer:

Mattew would run 10 kilometers in 1 hour

Step-by-step explanation:

20/2  = 10 Kilometers

2/2 = 1 hour

Question 1 Answer: both of them equal 20

Step-by-step explanation: when you add 9+3 it equals 12 then you add 8 and that makes 20. 9+8 also equals 17 then you add 3 which equals 20

[tex]x=-\frac{1}{2}[/tex]

You could solve this problem by either: Factoring or by using the Quadratic Formula.

SOLVING BY FACTORING STEPS

STEP 1: Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.

[tex]2x^2+3x-(2x-1)(x+1)=0[/tex]

STEP 2: Simplify 2x^2+3x−(2x−1)(x+1).

[tex]2x+1=0[/tex]

STEP 3: Simplify each term.

[tex]2x^2+3x-2x^2-x+1=0[/tex]

STEP 4: Simplify by adding terms.

[tex]2x+1=0[/tex]

STEP 5: Subtract 1 from both sides of the equation.

[tex]2x=-1[/tex]

STEP 6: Divide each term by 2 and simplify.

[tex]x=-\frac{1}{2}[/tex]

SOLVE BY USING THE QUADRATIC FORMULA STEPS

STEP 1: Move all terms to the left side of the equation and simplify.

[tex]2x+1=0[/tex]

STEP 2: Subtract 1 from both sides of the equation.

[tex]2x=-1[/tex]

STEP 3: Divide each term by 2 and simplify.

[tex]x=-\frac{1}{2}[/tex]

Answer:

[tex]f''(x)=36x^2+4[/tex]

Step-by-step explanation:

Let's start by finding the first derivative of [tex]f(x)= 3x^4+2x^2-8x+4[/tex]. We can do so by using the power rule for derivatives.

The power rule states that:

This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.

Another rule that we need to note is that the derivative of a constant is 0.

Let's apply the power rule to the function f(x).

Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.

Simplify the equation.

Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).

Simplify the equation.

Therefore, this is the 2nd derivative of the function f(x).

We can say that: [tex]f''(x)=36x^2+4[/tex]

Answer:

[tex]y = f(x) = 3 {x}^{4} + 2 {x}^{2} - 8x + 4 \\ \frac{dy}{dx} = 12 {x}^{3} + 4x - 8 \\ \frac{d {}^{2} y}{dx {}^{2} } = 36 {x}^{2} + 4 \\ \boxed{\frac{d {}^{2} y}{dx {}^{2} } = 4(9 {x}^{2} + 1)}[/tex]

Answer:

The missing value in the ordered pair is 6.

Step-by-step explanation:

Given that:

The ordered pairs are (-1, 3) and (x,-7)

We have to find the missing value x so that the ordered pairs have a slope -2.

Slope is the steepness of a line which is denoted by m.

Slope =m= -2

Here,

[tex]x_1=-1, y_1=3\\\\x_2=x, y_2=-7[/tex]

Slope is given by;

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the given values,

[tex]-2=\frac{-7-3}{x-(-1)}\\-2=\frac{-10}{x+1}\\-2(x+1)=-10\\-2x-2=-10\\-2x=-10-2\\-2x=-12[/tex]

Dividing both sides by -2

[tex]\frac{-2x}{-2}=\frac{-12}{-2}\\x=6[/tex]

Hence,

The missing value in the ordered pair is 6.

Answer:

Step-by-step explanation:

20% off is $1.80

9-1.8

the cost would be $7.20

We will be using the formula: Speed = Wavelength * Frequency

1. Given:  Wavelength = 5 m     and     Frequency = 2 Hz

Speed of the wave = Wavelength * Frequency

Speed of the wave = 5 * 2

Speed of the wave = 10 m/s

__________________________________________________________

2. Given: Speed of the wave = 100 m/s   and    Frequency= 1000 Hz

Wavelength = Speed / Frequency

Wavelength = 100 / 1000

Wavelength = 0.1 m

__________________________________________________________

3. Given: Speed of the Wave = 25 m/s           Wavelength = 5 m

Frequency = Speed / Wavelength

Frequency = 25 / 5

Frequency = 5 Hz

Answer:

337.5 and also 202.5

Step-by-step explanation:

do 8x = 540 since 5 and 3 are in a ratio... so you get 5x plus 3x. Then you solve for x and get 67.5..67.5 times 3 is 202.5 and 67.5 times 5 is 337.5.

Answer:

Answer:

3.125 (D)

Step-by-step explanation:

1 is 1/2

25-1 4

20x3 = 60mins

3.125 would be took away results end with what you have took for this equation