A blood sample has 50,000 bacteria present. a drug fights the bacteria such that every hour the number of bacteria remaining, r(n), decreases by half. If r(n) is an exponential function of the number, n, of hours since the drug was taken, find the bacteria present four hours after administering the drug.

Answer: (5, 7)

Step-by-step explanation: Midpoint formula is ((x1 + x2)/2, (y1+y2)/2) where (x1, y1) and (x2, y2) are points on a line. Thus

(3+7/2, 8+6/2) = (5, 7)

Answer: 32.036 now round this! Good Luck :)

Step-by-step explanation:

Answer:

           h ≤ -12/5

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.4" was replaced by "(84/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :

                    h-6-(-(84/10))≤0

Step by step solution :

STEP

1

:

           42

Simplify   ——

           5

Equation at the end of step

1

:

                  42

 (h - 6) -  (0 -  ——)  ≤ 0

                  5

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

             h - 6     (h - 6) • 5

    h - 6 =  —————  =  ———————————

               1            5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(h-6) • 5 - (-42)     5h + 12

—————————————————  =  ———————

        5                5  

Equation at the end of step

2

:

 5h + 12

 ———————  ≤ 0

    5  

STEP

3

:

3.1    Multiply both sides by  5

3.2    Divide both sides by  5  

     h+(12/5)  ≤ 0

Solve Basic Inequality :

3.3      Subtract  12/5  from both sides

           h ≤ -12/5

Inequality Plot :

3.4      Inequality plot for

        h  + 2.400  ≤  0

The value of h is less than or equal to -2.4.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

h−6 ≤−8.4

Now, add both side 6

h−6 + 6 ≤−8.4 + 6

h  ≤−2.4

Hence, the value of h is less than or equal to -2.4

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ2

Answer:

Polynomial with 4 terms

Answer:

b

the answer is b ots is not a ot c for sure

Answer:

10

Step-by-step explanation:

Answer:

25 km

Step-by-step explanation:

Distance covered in 20 min = 5 km

Distance covered in 1 min = 5/20 km or 1/4 km.

Distance covered in 100 min =

1/4 km x 100 = 25 km

Answer:

x

Step-by-step explanation:

x/y / 1/y =

x / 1 x y / y =

x / 1 x 1 =

x

Hope that helps!

-Sabrina

Answer:

(this is easy)

n x 3 = 48

48/3 = n

n= 16

Hannah is 16 years old.

Step-by-step explanation:

Answer:

d) y^6/y^2

Step-by-step explanation:

y^6/y^2= y^4

Answer:

Step-by-step explanation:

This is because,

As,

[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]

Here ,

[tex] {y}^{6} \div {y}^{2} [/tex]

[tex] = {y}^{6 - 2} [/tex]

[tex] = {y}^{4} [/tex]

And here the result does not simplify to,

[tex] {y}^{3} [/tex]

Hence, Last Option is the correct answer

Answer:

1. Reflection

2. rotation and reflection

3. b', b''

4. 26.3

Step-by-step explanation:

1. It is like looking in a mirror. Its is being reflected across the y axis

2. It is rotated 90 degrees to the right. Then reflected over the x axis.

3. they are the same

4. It is the same as A" B" C" D" so the lengths are the same and you just add them.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

this should be right 103.075

Step-by-step explanation:

Answer: 108$

Step-by-step explanation:

Answer:

"An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor." -wwwmathplanet.com

Answer:

an expression tells hiw many times is base used

(-35-42-63)/7= (-140)/7=-20

Answer:-150t-110

Step-by-step explanation:

-10(5t+5)-10(10t+6)

-50t - 50 - 100t - 60

=

-150t-110

Answer:

Factoring

Step-by-step explanation:

When we are solving a quadratic equation by the factorization method, each factor is set as being equal to zero.

The solution of each bracket of factors gives the root of the quadratic equation.

For example;

x2 + 16 = 10x

We now have;

x2 - 10x + 16  = 0

x2 - 8x - 2x + 16 = 0

x(x - 8) -2(x - 8) = 0

(x-2) (x-8) = 0

(x-2) = 0

Then x = 2

Or

(x-8) = 0

x = 8

Hence;

x = 2 or x= 8

Answer:

mean=17, median=12

Step-by-step explanation:

Mean=36+18+12+10+9=85÷5

=17

Median=9+10+12+18+36

=12

Answer:

it's A

total HJY = 180

I dont know how to explane sorry but A is the answer

6/1.5=4

is the scale factor for the smaller triangle to the bigger triangle

Answer:

6/1.5=4

Step-by-step explanation:

9514 1404 393

Answer:

  A. (-√2, 3+(4√2)/3), (√2, 3-(4√2)/3)

Step-by-step explanation:

The tangents are horizontal where the derivative is zero. The derivative of the given function is ...

  y' = x² -2

This is zero when ...

  0 = x² -2

  2 = x²

  ±√2 = x . . . . x-values where the derivative is zero

__

The corresponding y-values are ...

  y = (1/3x² -2)x +3

  y = (1/3(2) -2)(±√2) +3 = 3 ∓ (4√2)/3

The turning points are (-√2, 3+(4√2)/3) and (√2, 3-(4√2)/3).

Answer:

it 5

Step-by-step explanation:

15-10= 5 so r=5

Answer:

The value of r will be 5.

Step-by-step explanation:

15=r+10

15-10=r

5=r

Answer: C

Step-by-step explanation:

In 2 games the team had zero runs

In 1 game the team had one run

In 1 game the team had two runs

In 3 games the team had three runs

In 2 games the team had four runs

In 1 game the team had five runs

Answer:

Number of shirts= 6

Step-by-step explanation:

Giving the following information:

The cost for several shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25.

First, we need to calculate the net total price paid  for the shirts:

Net total cost= 77.49 - 3.99= $73.5

Now, the number of shirts bought:

Number of shirts= 73.5 / 12.25

Number of shirts= 6

Step-by-step explanation:

10²+6²

100+36=136

square root of 136

Answer:

x + 3y = 14

-4 + 3y = 14

+4 +4

3y = 18

y = 6