PLEASE HELP!!:)Rewrite the given equation without logarithms. DO NOT SOLVE.
2 log 4(x + 11) = log 416 + 2
Rewrite the given equation without logarithms. Do not solve for x.

Answer:

the 2nd colonie of bacteria grows faster

Step-by-step explanation:

Answer:

a. Bacteria B grows at a faster rate because it has a higher number than Bacteria A. By solving the problem of both Bacteria A and Bacteria B, you would see why Bacteria B grows at a faster rate.

b. Bacteria B grows faster by 35000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the Quadratic Formula to find the roots, i.e., the values of n for which 6n²-56n-40 = 0.

Answer:

2(n - 10)(3n + 2)

Step-by-step explanation:

Given

6n² - 56n - 40 ← factor out 2 from each term

= 2(3n² - 28n - 20) ← factor the quadratic

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × - 20 = - 60 and sum = - 28

The factors are - 30 and + 2

Use these factors to split the n- term

3n² - 30n + 2n - 20 ( factor the first/second and third/fourth terms )

= 3n(n - 10) + 2(n - 10) ← factor out (n - 10) from each term

= (n - 10)(3n + 2)

Thus

6n² - 56n - 40 = 2(n - 10)(3n + 2)

Answer:

x = 34/27 or 1 7/27

Step-by-step explanation:

55x - 68 = x

-68 = -54x

x = 68/54

The numbers inside the parentheses are the x values. Replace x with each number and solve.

F(1) = 50 + 30(1)= 50+ 30 = 80

F(2) = 50 + 30(2)= 50 + 60 = 110

F(3) =!50 + 30(3)= 50 + 90 =140

The value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = 50 + 30x

The value of the function at x = 1, will be

f(1) = 50 + 30 × 1

f(1) = 50 + 30

f(1) = 80

The value of the function at x = 2, will be

f(2) = 50 + 30 × 2

f(2) = 50 + 60

f(2) = 110

The value of the function at x = 3, will be

f(3) = 50 + 30 × 3

f(3) = 50 + 90

f(3) = 140

Thus, the value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.

More about the function link is given below.

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Step-by-step explanation:

may be the answer be 465 but the answer may be wrong too

Answer:

650 gallons after 1 hour

Unit rate:650gallons/hour

Step-by-step explanation:

We are given that

Total capacity of pool=3185 gallon

In 2.5 hours water pool fill=1625 gallon

We have to find how many gallons of water fill in the pool after 1 hour and unit rate.

Using unitary method

1625 gallons of water takes time to fill the pool=2.5 hours

1 gallon of  water takes time to fill pool=[tex]\frac{2.5}{1625}[/tex]hours

3185 gallon of water takes time to fill the pool=[tex]\frac{2.5}{1625}\times 3185[/tex] hours

3185 gallon of water takes time to fill the pool=4.9 hours

1 hours , water fill in  pool =[tex]\frac{1625}{2.5}[/tex]gallons

1 hours , water fill in  pool=650 gallons

Unit rate: How many  volumes of water fill in 1 hour.

Unit rate=[tex]\frac{1625}{2.5}=650gallons/hour[/tex]

Answer:

A. 60 feet B. 7200 ft²

Step-by-step explanation:

A. Find the length of the corral along the river that will give the maximum area

To find the length of the corral that will give the maximum area, we differentiate A with respect to x and equate it to zero.

So, dA(x)/dx = d[x(240 - 2x)]/dx

= (240 - 2x)dx/dx + xd(240 -2x)/dx

= 240 - 2x -2x

= 240 - 4x

So, dA(x)/dx = 0

240 - 4x = 0

4x = 240

x = 240/4

x = 60 feet

B. Find the maximum area of the corral

The maximum area at x = 60 feet is

A(x)=x(240−2x)

A(60)=60(240−2(60))

A(60) = 60(240 - 120)

A(60) = 60(120)

A(60) = 7200 ft²

Answer:

maximum: 7200 sq ft.  60 ft along the river

Step-by-step explanation:

The maximum area of 7,200 square feet is reached when the corral has a length of 60 feet along the river.

Answer:

1

Step-by-step explanation:

p ÷ 5 - 2, If p = 15

15/5 - 2

(15/5=3)

3 - 2 = 1

1 is the answer

Answer:

13, i think.

Step-by-step explanation:

use the equation: p( 1 - 7.5/100)^r

p= original amount

r = years

sub in numbers

22300 ( 1- 7.5/100)^r

just sub in different numbers for r till you get closest to your answer

After 13 years the value of the car would be $7700

"It describes the decrease in an amount by a consistent percentage rate over a period of time."

"f(t) = a(1 - r)^t , where t is time, a is the initial value and r is the rate"

For given example,

initial value of the car (a) = 22300

The value of the car depreciates at 7.5% per year.

So, the rate (r) = 7.5%

We can write 7.5 percent as,

7.5% = 7.5/100

        = 0.075

So, r = 0.075

Let 't' represents the number of years

We need to find the number of years when the car value is 7700 dollars.

y = $7700

Using the formula of exponential decay,

⇒ y(t) = a × (1 - r)^t

⇒ 7700 = 22300 × (1 - 0.075)^t

⇒ 0.3453 = (0.925)^t

⇒ t = 13.63

⇒ t ≈ 13

Therefore, after 13 years the value of the car would be $7700

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Answer:

40%

Step-by-step explanation: 2 divided by 5 is 0.4 so that is 40%

Answer:

40%

Step-by-step explanation:

those two people who like fortnite are the 1 percent of bacteria lysol doesn't kill. fortnite is lame and bad

Answer:

Step-by-step explanation:

[tex]4x^3+2x+8x^3-5x+4\\ \\ 12x^3-3x+4[/tex]

Answer:

14.68

Step-by-step explanation:

4.32 + b = 19

Solve for b.

_____________

To solve, we need to get b by itself.

4.32 + b = 19

Subtract 4.32 from both sides :

b = 14.68

Answer/Step-by-step explanation:

What do you mean by property?

I will guess for now, but if it is not right I will update it.

It would be the associative property since you are flipping the equation around.

Hope this helps :)

Answer:

22 Litres

Step-by-step explanation:

Hope it helps. NOT

#To make a fraction into percentage, the easy way is to times the fraction with 100

9/10 × 100 = 90

#and so, the percentage of 9/10 is 90%

Answer:

option D

Step-by-step explanation:

a² - b² = (a + b) (a - b)

625 = 5 * 5 * 5 * 5 = 5⁴

y⁴ - 625 = y⁴  - 5⁴

             = (y²)² - (5²)²           {a = y² ; b = 5²}

            = (y² + 5²)(y² - 5²)

           = (y² + 25)(y² - 5²)

           = (y² + 25)(y + 5)(y - 5)

Answer:

x = 22, and im rlly sry, i dont know how to solve for y...im sry...

Step-by-step explanation:

180 - 55 = 125 degrees

so

6x - 7 = 125

     +7     +7

6x = 132

divide by 6

x = 22

Answer:

10.8

Step-by-step explanation:

By sine rule:

[tex] \frac{x}{ \sin 81 \degree} = \frac{7}{ \sin 40 \degree} \\ \\ x = \frac{7 \sin 81 \degree}{ \sin 40 \degree} \\ \\ x = \frac{7 \times0.9876883406 }{0.6427876097} \\ \\ x = \frac{6.91381838}{0.6427876097} \\ \\ x = 10.755992 \\ \\ x \approx 10.8[/tex]

Using the tangent formula we can write as,

Tan 40° = 7 / x

Tan 40 = 0.84

The value of x is 8.3 cm

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

A triangle with angle 40° angle 81° and 7 cm on on side of the triangle.

Using the tangent formula we can write as,

Tan 40° = 7 / x _____(1)

Now,

Tan 40 = 0.84

From (1) we get,

0.84 = 7 / x

x = 7 / 0.84

x = 8.3 cm

Thus,

The value of x is 8.3 cm

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Answer:

14

Step-by-step explanation:

substitute 2 for y

multiply

subtract

yay

Answer:

3.75

Step-by-step explanation:

-0.8(q-0.5)=-2.6

-0.8q+0.4=-2.6

-0.8q=-2.6-0.4

-0.8q=-3

0.8q=3

q=3/0.8

q=3.75

Answer:

Selling Price = $147

Mark Up = 75%

------------------

The selling price of the skateboard is $84.

Answer:

31

Step-by-step explanation:

I rounded it down thats it

The equality for this equation is

175 + 8b >/=  425

B = number of bottles required to sell. Now, I don't want to give you the answer but I can assist you in easily finding it. Subtract 175 from both sides

8b >/= 250

Now, divide at from both sides and remove the greater than mark which should mean that in the end it should look like it says

**edited** I mean divide 8 from both sides.

b = ?  

That is the number of bottles they must sell, if it is a decimal, round it up because there is no such thing as a decimal number for selling water bottles.

Answer:

The answer is "2(12x+17)"

Step-by-step explanation:

The formula of the perimeter:

[tex]\to \bold{P=xy+yz+xz}[/tex]

       [tex]=9x+12+4x+20+11x+2\\\\=9x+4x+11x+2+20+12\\\\=24x+34\\\\ =2(12x+17)[/tex]

Answer:

[tex]a = 3[/tex]

[tex]b = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3(\frac{1}{5})^x[/tex] --- Missing from the question

Required

Identify a and b

The given equation is an exponential function and the general form is:

[tex]f(x) = ab^x[/tex]

When [tex]f(x) = ab^x[/tex] is compared to [tex]f(x) = 3(\frac{1}{5})^x[/tex]

We have that: [tex]a = 3[/tex] and [tex]b = \frac{1}{5}[/tex]

Answer:

x<14

Step-by-step explanation:

Answer:

y = 18

x = 7

Step-by-step explanation:

Since the Capulet's only have a total of 50 feet of fencing then that will also be the maximum perimeter of the fence and cannot exceed that value. Therefore, using the information provided we can conclude the following

y > 2x

y + y + x + x <= 50ft

2x + 2x + x + x <= 50ft

Now that we have these equations we can first solve for x and then solve for y

2x + 2x + x + x <= 50ft

6x <= 50ft   ... divide by 6

x <= 8.33

y > 2 * 8.33

y > 16.66

Therefore, one possible value would be

Answer: You will have $24,551.84 when you turn 18.

Step-by-step explanation:

Formula for accumulated amount earned in t years:

[tex]A=P(1+\dfrac{r}{12})^{12t}[/tex], where P = principal value, r = rate of interest

Given: P= $10000, r = 5% t = 18 years.

Substitute all values in formula, we get

[tex]A=10000(1+\dfrac{0.05}{12})^{12\times18}\\\\=10000(1.004167)^{216}\\\\=10000(2.45518445623)\approx24551.84[/tex]

Hence,  you will have $24,551.84 when you turn 18.